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 v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n022.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 : Unsatisfiable 3.56s 3.76s
% Output : Refutation 3.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : MGT029-1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n022.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 11:16:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.56/3.76 GeoParameters:
% 3.56/3.76
% 3.56/3.76 tptp_input = 1
% 3.56/3.76 tptp_output = 0
% 3.56/3.76 nonempty = 1
% 3.56/3.76 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.56/3.76 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 3.56/3.76
% 3.56/3.76
% 3.56/3.76 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.56/3.76 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.56/3.76
% 3.56/3.76 RuleSystem INPUT:
% 3.56/3.76
% 3.56/3.76 Initial Rules:
% 3.56/3.76 #0: input, references = 35, size of lhs = 2:
% 3.56/3.76 greater-{F}(V0,V1), greater-{F}(V2,V0) | greater-{T}(V2,V1)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #1: input, references = 10, size of lhs = 3:
% 3.56/3.76 in_environment-{F}(V2,V0), in_environment-{F}(V2,V1), V1 == V0 | greater-{T}(V1,V0), greater-{T}(V0,V1)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #2: input, references = 29, size of lhs = 2:
% 3.56/3.76 greater_or_equal-{F}(V0,V1), V0 == V1 | greater-{T}(V0,V1)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #3: input, references = 45, size of lhs = 1:
% 3.56/3.76 greater-{F}(V0,V1) | greater_or_equal-{T}(V0,V1)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #4: input, references = 10, size of lhs = 1:
% 3.56/3.76 #-{F} V1 | greater_or_equal-{T}(V1,V1)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #5: input, references = 5, size of lhs = 10:
% 3.56/3.76 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), V4 == V1 | greater-{T}(V4,V1), greater-{T}(V5,V1)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #6: input, references = 4, size of lhs = 9:
% 3.56/3.76 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), P_growth_rate-{F}(V0,V3,V4), P_equilibrium-{F}(V5,V6), environment-{F}(V5), subpopulations-{F}(V0,V2,V5,V3), greater_or_equal-{F}(V3,V6), V4 == V1 | greater-{T}(V4,V1), greater-{T}(V1,V4)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #7: input, references = 5, size of lhs = 10:
% 3.56/3.76 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), V4 == V1 | greater-{T}(V1,V5), greater-{T}(V5,V1)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #8: input, references = 5, size of lhs = 10:
% 3.56/3.76 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), V4 == V1 | greater-{T}(V1,V5), greater-{T}(V1,V4)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #9: input, references = 3, size of lhs = 10:
% 3.56/3.76 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), P_growth_rate-{F}(V2,V3,V4), P_growth_rate-{F}(V0,V3,V5), P_equilibrium-{F}(V6,V7), environment-{F}(V6), subpopulations-{F}(V0,V2,V6,V3), greater_or_equal-{F}(V3,V7), V4 == V1 | greater-{T}(V5,V1), greater-{T}(V4,V1)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #10: input, references = 4, size of lhs = 10:
% 3.56/3.76 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), P_growth_rate-{F}(V2,V3,V4), P_growth_rate-{F}(V0,V3,V5), P_equilibrium-{F}(V6,V7), environment-{F}(V6), subpopulations-{F}(V0,V2,V6,V3), greater_or_equal-{F}(V3,V7), V4 == V1 | greater-{T}(V5,V1), greater-{T}(V1,V5)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #11: input, references = 5, size of lhs = 9:
% 3.56/3.76 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), P_growth_rate-{F}(V2,V3,V4), P_equilibrium-{F}(V5,V6), environment-{F}(V5), subpopulations-{F}(V0,V2,V5,V3), greater_or_equal-{F}(V3,V6), V4 == V1 | greater-{T}(V1,V4), greater-{T}(V4,V1)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #12: input, references = 3, size of lhs = 10:
% 3.56/3.76 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), P_growth_rate-{F}(V2,V3,V4), P_growth_rate-{F}(V0,V3,V5), P_equilibrium-{F}(V6,V7), environment-{F}(V6), subpopulations-{F}(V0,V2,V6,V3), greater_or_equal-{F}(V3,V7), V4 == V1 | greater-{T}(V1,V4), greater-{T}(V1,V5)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #13: input, references = 13, size of lhs = 6:
% 3.56/3.76 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), P_sk1-{F}(V3,V4), environment-{F}(V3), stable-{F}(V3) | in_environment-{T}(V3,V4)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #14: input, references = 52, size of lhs = 10:
% 3.56/3.76 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), P_sk1-{F}(V3,V4), environment-{F}(V3), stable-{F}(V3), P_growth_rate-{F}(V2,V5,V6), P_growth_rate-{F}(V0,V5,V7), subpopulations-{F}(V0,V2,V3,V5), greater_or_equal-{F}(V5,V4) | greater-{T}(V6,V7)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #15: input, references = 13, size of lhs = 6:
% 3.56/3.76 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), P_sk2-{F}(V3,V4), environment-{F}(V3), stable-{F}(V3) | in_environment-{T}(V3,V4)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #16: input, references = 16, size of lhs = 7:
% 3.56/3.76 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), P_sk2-{F}(V3,V4), P_equilibrium-{F}(V3,V5), environment-{F}(V3), stable-{F}(V3) | greater_or_equal-{T}(V4,V5)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #17: input, references = 5, size of lhs = 4:
% 3.56/3.76 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), P_sk3-{F}(V3) | environment-{T}(V3)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #18: input, references = 5, size of lhs = 4:
% 3.56/3.76 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), P_sk3-{F}(V3) | stable-{T}(V3)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #19: input, references = 55, size of lhs = 6:
% 3.56/3.76 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), P_sk3-{F}(V3), P_sk4-{F}(V4,V5), in_environment-{F}(V3,V4) | subpopulations-{T}(V0,V2,V3,V5)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #20: input, references = 19, size of lhs = 6:
% 3.56/3.76 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), P_sk3-{F}(V3), P_sk4-{F}(V4,V5), in_environment-{F}(V3,V4) | greater_or_equal-{T}(V5,V4)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #21: input, references = 45, size of lhs = 10:
% 3.56/3.76 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), P_sk3-{F}(V3), P_sk4-{F}(V4,V5), P_growth_rate-{F}(V2,V5,V6), P_growth_rate-{F}(V0,V5,V7), in_environment-{F}(V3,V4), greater-{F}(V6,V1), greater-{F}(V1,V7) | FALSE
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #22: input, references = 4, size of lhs = 0:
% 3.56/3.76 FALSE | EXISTS V0: P_first_movers-{T}(V0)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #23: input, references = 4, size of lhs = 0:
% 3.56/3.76 FALSE | EXISTS V0: P_efficient_producers-{T}(V0)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #24: input, references = 5, size of lhs = 1:
% 3.56/3.76 #-{F} V0 | EXISTS V1: P_equilibrium-{T}(V0,V1)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #25: input, references = 10, size of lhs = 2:
% 3.56/3.76 #-{F} V0, #-{F} V1 | EXISTS V2: P_growth_rate-{T}(V0,V1,V2)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #26: input, references = 5, size of lhs = 0:
% 3.56/3.76 FALSE | EXISTS V0: P_zero-{T}(V0)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #27: input, references = 6, size of lhs = 1:
% 3.56/3.76 #-{F} V0 | EXISTS V1: P_sk1-{T}(V0,V1)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #28: input, references = 6, size of lhs = 1:
% 3.56/3.76 #-{F} V0 | EXISTS V1: P_sk2-{T}(V0,V1)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #29: input, references = 5, size of lhs = 0:
% 3.56/3.76 FALSE | EXISTS V0: P_sk3-{T}(V0)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #30: input, references = 13, size of lhs = 1:
% 3.56/3.76 #-{F} V0 | EXISTS V1: P_sk4-{T}(V0,V1)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 number of initial rules = 31
% 3.56/3.76
% 3.56/3.76 Simplifiers:
% 3.56/3.76 #31: unsound, references = 3, size of lhs = 3:
% 3.56/3.76 in_environment-{F}(V0,V1), in_environment-{F}(V2,V3), V0 == V2 | FALSE
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #32: unsound, references = 3, size of lhs = 3:
% 3.56/3.76 environment-{F}(V0), environment-{F}(V1), V0 == V1 | FALSE
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #33: unsound, references = 3, size of lhs = 3:
% 3.56/3.76 subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #34: unsound, references = 3, size of lhs = 3:
% 3.56/3.76 subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #35: unsound, references = 3, size of lhs = 3:
% 3.56/3.76 subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #36: unsound, references = 3, size of lhs = 3:
% 3.56/3.76 stable-{F}(V0), stable-{F}(V1), V0 == V1 | FALSE
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #37: unsound, references = 3, size of lhs = 3:
% 3.56/3.76 P_growth_rate-{F}(V0,V1,V2), P_growth_rate-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #38: unsound, references = 3, size of lhs = 3:
% 3.56/3.76 P_first_movers-{F}(V0), P_first_movers-{F}(V1), V0 == V1 | FALSE
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #39: unsound, references = 3, size of lhs = 3:
% 3.56/3.76 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #40: unsound, references = 3, size of lhs = 3:
% 3.56/3.76 P_efficient_producers-{F}(V0), P_efficient_producers-{F}(V1), V0 == V1 | FALSE
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #41: unsound, references = 3, size of lhs = 3:
% 3.56/3.76 P_equilibrium-{F}(V0,V1), P_equilibrium-{F}(V0,V3), V1 == V3 | FALSE
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #42: unsound, references = 3, size of lhs = 3:
% 3.56/3.76 P_sk1-{F}(V0,V1), P_sk1-{F}(V0,V3), V1 == V3 | FALSE
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #43: unsound, references = 3, size of lhs = 3:
% 3.56/3.76 P_sk2-{F}(V0,V1), P_sk2-{F}(V0,V3), V1 == V3 | FALSE
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #44: unsound, references = 3, size of lhs = 3:
% 3.56/3.76 P_sk3-{F}(V0), P_sk3-{F}(V1), V0 == V1 | FALSE
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #45: unsound, references = 3, size of lhs = 3:
% 3.56/3.76 P_sk4-{F}(V0,V1), P_sk4-{F}(V0,V3), V1 == V3 | FALSE
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 number of simplifiers = 15
% 3.56/3.76
% 3.56/3.76 Learnt:
% 3.56/3.76 #49: mergings( V0 == V8, V2 == V9; #46 ), references = 1, size of lhs = 16:
% 3.56/3.76 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), P_sk3-{F}(V8), in_environment-{F}(V8,V9), P_sk4-{F}(V9,V10), P_growth_rate-{F}(V4,V10,V6), P_growth_rate-{F}(V2,V10,V11), greater-{F}(V3,V11) | greater-{T}(V7,V3)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #61: mergings( V16 == V21, V5 == V9, V0 == V7, V2 == V8, V7 == V14, V14 == V19, V8 == V15, V15 == V20, V6 == V10; #51 ), references = 1, size of lhs = 23:
% 3.56/3.76 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, subpopulations-{F}(V2,V4,V0,V7), greater_or_equal-{F}(V7,V1), P_growth_rate-{F}(V2,V7,V8), V8 == V3, P_growth_rate-{F}(V4,V7,V9), P_sk3-{F}(V10), in_environment-{F}(V10,V11), P_sk4-{F}(V11,V12), P_growth_rate-{F}(V4,V12,V8), P_growth_rate-{F}(V2,V12,V6), in_environment-{F}(V10,V13), P_sk4-{F}(V13,V14), P_growth_rate-{F}(V4,V14,V9), P_growth_rate-{F}(V2,V14,V6) | greater-{T}(V6,V3)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #65: mergings( V0 == V8, V2 == V9; #62 ), references = 7, size of lhs = 16:
% 3.56/3.76 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), P_sk3-{F}(V8), in_environment-{F}(V8,V9), P_sk4-{F}(V9,V10), P_growth_rate-{F}(V2,V10,V7), P_growth_rate-{F}(V4,V10,V11), greater-{F}(V11,V3) | greater-{T}(V3,V6)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #77: mergings( V8 == V10, V10 == V14, V14 == V17, V4 == V6, V6 == V12, V3 == V0, V5 == V7, V7 == V13; #68 ), references = 14, size of lhs = 16:
% 3.56/3.76 environment-{F}(V0), P_equilibrium-{F}(V0,V1), P_zero-{F}(V2), P_first_movers-{F}(V3), P_efficient_producers-{F}(V3), subpopulations-{F}(V3,V3,V0,V4), greater_or_equal-{F}(V4,V1), P_sk3-{F}(V5), in_environment-{F}(V5,V6), P_sk4-{F}(V6,V4), in_environment-{F}(V5,V7), P_sk4-{F}(V7,V4), in_environment-{F}(V5,V8), P_sk4-{F}(V8,V4), in_environment-{F}(V5,V9), P_sk4-{F}(V9,V4) | P_growth_rate-{T}(V3,V4,V2)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #94: mergings( V3 == V7, V7 == V8, V8 == V12, V4 == V11, V2 == V5, V5 == V9, V9 == V10, V6 == V11; #85 ), references = 3, size of lhs = 9:
% 3.56/3.76 environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), P_equilibrium-{F}(V0,V1), P_sk1-{F}(V0,V1), in_environment-{F}(V0,V1), P_zero-{F}(V2), P_first_movers-{F}(V3), P_efficient_producers-{F}(V3) | FALSE
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #114: mergings( V0 == V10, V3 == V8, V4 == V7, V5 == V9; #109 ), references = 3, size of lhs = 17:
% 3.56/3.76 environment-{F}(V0), stable-{F}(V0), P_sk1-{F}(V0,V1), P_zero-{F}(V2), P_first_movers-{F}(V3), P_efficient_producers-{F}(V4), subpopulations-{F}(V3,V4,V0,V5), V5 == V1, P_growth_rate-{F}(V4,V5,V2), P_growth_rate-{F}(V3,V5,V2), P_sk3-{F}(V6), in_environment-{F}(V6,V1), in_environment-{F}(V6,V5), in_environment-{F}(V6,V7), P_sk4-{F}(V7,V8), P_growth_rate-{F}(V4,V8,V2), P_growth_rate-{F}(V3,V8,V2) | greater-{T}(V1,V5)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #136: mergings( V3 == V7, V7 == V9, V9 == V13, V4 == V12, V2 == V5, V5 == V10, V10 == V11, V6 == V12; #127 ), references = 7, size of lhs = 10:
% 3.56/3.76 environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), P_sk1-{F}(V0,V1), in_environment-{F}(V0,V1), P_equilibrium-{F}(V0,V2), greater-{F}(V1,V2), P_zero-{F}(V3), P_first_movers-{F}(V4), P_efficient_producers-{F}(V4) | P_sk4-{T}(V1,V1)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #155: mergings( V5 == V0, V0 == V15, V3 == V11, V10 == V13; #150 ), references = 1, size of lhs = 24:
% 3.56/3.76 environment-{F}(V0), stable-{F}(V0), P_equilibrium-{F}(V0,V1), P_sk1-{F}(V0,V2), P_zero-{F}(V3), P_first_movers-{F}(V4), P_efficient_producers-{F}(V4), subpopulations-{F}(V4,V4,V0,V5), greater_or_equal-{F}(V5,V2), P_sk3-{F}(V6), in_environment-{F}(V6,V5), in_environment-{F}(V6,V7), P_sk4-{F}(V7,V5), in_environment-{F}(V6,V8), V8 == V5, greater-{F}(V8,V1), in_environment-{F}(V6,V9), P_sk4-{F}(V9,V5), in_environment-{F}(V6,V10), P_sk4-{F}(V10,V5), in_environment-{F}(V6,V11), P_sk4-{F}(V11,V5), in_environment-{F}(V6,V12), P_sk4-{F}(V12,V5) | greater-{T}(V8,V5)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #176: mergings( V0 == V11, V3 == V9, V4 == V8, V5 == V10; #171 ), references = 2, size of lhs = 18:
% 3.56/3.76 environment-{F}(V0), stable-{F}(V0), P_sk1-{F}(V0,V1), P_zero-{F}(V2), P_first_movers-{F}(V3), P_efficient_producers-{F}(V4), subpopulations-{F}(V3,V4,V0,V5), P_growth_rate-{F}(V4,V5,V2), P_growth_rate-{F}(V3,V5,V2), greater-{F}(V5,V6), V6 == V1, P_sk3-{F}(V7), in_environment-{F}(V7,V1), in_environment-{F}(V7,V6), in_environment-{F}(V7,V8), P_sk4-{F}(V8,V9), P_growth_rate-{F}(V4,V9,V2), P_growth_rate-{F}(V3,V9,V2) | greater-{T}(V1,V6)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #212: mergings( V3 == V7, V7 == V9, V9 == V12, V12 == V15, V15 == V16, V16 == V21, V21 == V22, V22 == V27, V4 == V14, V14 == V19, V19 == V26, V2 == V5, V5 == V10, V10 == V13, V13 == V18, V18 == V20, V20 == V23, V23 == V25, V6 == V26, V8 == V17, V11 == V24; #190 ), references = 1, size of lhs = 13:
% 3.56/3.76 environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), in_environment-{F}(V0,V1), greater-{F}(V1,V2), P_equilibrium-{F}(V0,V2), P_sk1-{F}(V0,V3), V1 == V3, greater_or_equal-{F}(V3,V3), in_environment-{F}(V0,V3), P_zero-{F}(V4), P_first_movers-{F}(V5), P_efficient_producers-{F}(V5) | P_sk4-{T}(V1,V1)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #262: mergings( V16 == V21, V21 == V22, V22 == V27, V27 == V0, V0 == V30, V30 == V34, V34 == V35, V2 == V5, V5 == V10, V10 == V15, V15 == V19, V19 == V26, V26 == V32, V32 == V36, V36 == V40, V3 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V14, V14 == V18, V18 == V20, V20 == V23, V23 == V25, V25 == V28, V28 == V31, V31 == V33, V33 == V37, V37 == V39, V4 == V7, V7 == V12, V12 == V40, V24 == V17, V17 == V29, V29 == V38; #226 ), references = 1, size of lhs = 10:
% 3.56/3.76 environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), P_equilibrium-{F}(V0,V1), in_environment-{F}(V0,V2), P_sk1-{F}(V0,V2), greater_or_equal-{F}(V2,V2), P_zero-{F}(V3), P_first_movers-{F}(V4), P_efficient_producers-{F}(V4) | P_sk2-{T}(V0,V1), P_sk2-{T}(V0,V2)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #295: mergings( V3 == V7, V7 == V8, V8 == V10, V10 == V11, V11 == V15, V15 == V16, V16 == V22, V4 == V13, V13 == V17, V17 == V21, V2 == V5, V5 == V12, V12 == V14, V14 == V18, V18 == V20, V6 == V21, V9 == V19; #277 ), references = 1, size of lhs = 12:
% 3.56/3.76 environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), P_equilibrium-{F}(V0,V1), in_environment-{F}(V0,V1), in_environment-{F}(V0,V2), V1 == V2, P_sk1-{F}(V0,V2), greater_or_equal-{F}(V2,V2), P_zero-{F}(V3), P_first_movers-{F}(V4), P_efficient_producers-{F}(V4) | P_sk4-{T}(V1,V1)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #396: mergings( V13 == V19, V19 == V20, V20 == V25, V25 == V29, V29 == V33, V33 == V34, V34 == V47, V47 == V52, V52 == V53, V53 == V27, V27 == V62, V62 == V66, V66 == V67, V67 == V77, V77 == V81, V81 == V82, V82 == V87, V0 == V3, V3 == V7, V7 == V12, V12 == V17, V17 == V24, V24 == V31, V31 == V35, V35 == V39, V39 == V40, V40 == V44, V44 == V50, V50 == V54, V54 == V58, V58 == V64, V64 == V68, V68 == V72, V72 == V73, V73 == V79, V79 == V86, V1 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V11, V11 == V16, V16 == V18, V18 == V21, V21 == V23, V23 == V26, V26 == V30, V30 == V32, V32 == V36, V36 == V38, V38 == V41, V41 == V43, V43 == V45, V45 == V49, V49 == V51, V51 == V55, V55 == V57, V57 == V59, V59 == V63, V63 == V65, V65 == V69, V69 == V71, V71 == V74, V74 == V78, V78 == V80, V80 == V83, V83 == V85, V2 == V5, V5 == V9, V9 == V42, V42 == V46, V46 == V75, V75 == V86, V60 == V14, V14 == V76, V22 == V37, V37 == V56, V56 == V28, V28 == V48, V48 == V61, V61 == V70, V70 == V15, V15 == V84; #312 ), references = 1, size of lhs = 12:
% 3.56/3.76 environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), P_equilibrium-{F}(V0,V1), greater_or_equal-{F}(V1,V1), P_sk1-{F}(V0,V2), V2 == V1, greater_or_equal-{F}(V2,V2), in_environment-{F}(V0,V2), P_zero-{F}(V3), P_first_movers-{F}(V4), P_efficient_producers-{F}(V4) | P_sk2-{T}(V0,V2)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #478: mergings( V2 == V5, V5 == V8, V8 == V12, V12 == V17, V17 == V19, V19 == V23, V23 == V26, V26 == V28, V28 == V31, V31 == V32, V32 == V36, V36 == V40, V40 == V42, V42 == V45, V45 == V48, V48 == V50, V50 == V53, V53 == V54, V54 == V58, V58 == V62, V62 == V63, V63 == V67, V67 == V75, V3 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V16, V16 == V18, V18 == V20, V20 == V21, V21 == V22, V22 == V24, V24 == V25, V25 == V27, V27 == V29, V29 == V30, V30 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V41, V41 == V43, V43 == V44, V44 == V46, V46 == V47, V47 == V49, V49 == V51, V51 == V52, V52 == V55, V55 == V57, V57 == V59, V59 == V60, V60 == V61, V61 == V64, V64 == V66, V66 == V68, V68 == V73, V73 == V74, V4 == V7, V7 == V10, V10 == V14, V14 == V34, V34 == V38, V38 == V56, V56 == V65, V65 == V75, V69 == V70, V70 == V71, V71 == V72; #406 ), references = 2, size of lhs = 8:
% 3.56/3.76 environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), P_equilibrium-{F}(V0,V1), greater_or_equal-{F}(V1,V1), P_zero-{F}(V2), P_first_movers-{F}(V3), P_efficient_producers-{F}(V3) | P_sk1-{T}(V0,V1)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #562: mergings( V0 == V3, V3 == V6, V6 == V10, V10 == V15, V15 == V17, V17 == V21, V21 == V24, V24 == V26, V26 == V29, V29 == V30, V30 == V34, V34 == V38, V38 == V40, V40 == V43, V43 == V46, V46 == V48, V48 == V51, V51 == V52, V52 == V56, V56 == V60, V60 == V61, V61 == V65, V65 == V74, V74 == V75, V75 == V79, V79 == V80, V80 == V84, V1 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V14, V14 == V16, V16 == V18, V18 == V19, V19 == V20, V20 == V22, V22 == V23, V23 == V25, V25 == V27, V27 == V28, V28 == V31, V31 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V41, V41 == V42, V42 == V44, V44 == V45, V45 == V47, V47 == V49, V49 == V50, V50 == V53, V53 == V55, V55 == V57, V57 == V58, V58 == V59, V59 == V62, V62 == V64, V64 == V66, V66 == V72, V72 == V73, V73 == V76, V76 == V78, V78 == V81, V81 == V83, V2 == V5, V5 == V8, V8 == V12, V12 == V32, V32 == V36, V36 == V54, V54 == V63, V63 == V77, V77 == V82, V82 == V84, V68 == V71, V71 == V69, V69 == V70; #480 ), references = 1, size of lhs = 8:
% 3.56/3.76 environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), P_equilibrium-{F}(V0,V1), greater_or_equal-{F}(V1,V1), P_zero-{F}(V2), P_first_movers-{F}(V3), P_efficient_producers-{F}(V3) | P_sk1-{T}(V0,V1)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #574: mergings( V3 == V4, V4 == V8, V2 == V5, V5 == V7, V6 == V8; #568 ), references = 1, size of lhs = 6:
% 3.56/3.76 environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), P_zero-{F}(V1), P_first_movers-{F}(V2), P_efficient_producers-{F}(V2) | FALSE
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #589: mergings( V1 == V4, V4 == V8, V8 == V9, V9 == V13, V2 == V5, V5 == V7, V7 == V10, V10 == V12, V3 == V6, V6 == V11, V11 == V13; #577 ), references = 1, size of lhs = 3:
% 3.56/3.76 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V1) | FALSE
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #598: mergings( V1 == V3, V3 == V5, V5 == V6, V6 == V8, V2 == V4, V4 == V7, V7 == V8; #590 ), references = 1, size of lhs = 2:
% 3.56/3.76 P_first_movers-{F}(V0), P_efficient_producers-{F}(V0) | FALSE
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #604: mergings( V3 == V7, V4 == V8, V7 == V11; #600 ), references = 22, size of lhs = 13:
% 3.56/3.76 environment-{F}(V0), stable-{F}(V0), P_sk1-{F}(V0,V1), P_zero-{F}(V2), greater-{F}(V2,V2), P_first_movers-{F}(V3), P_efficient_producers-{F}(V4), subpopulations-{F}(V3,V4,V0,V5), greater_or_equal-{F}(V5,V1), P_growth_rate-{F}(V4,V5,V2), P_sk3-{F}(V6), in_environment-{F}(V6,V7), P_sk4-{F}(V7,V5) | FALSE
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #612: mergings( V6 == V10, V0 == V12, V2 == V9, V1 == V5, V5 == V8, V9 == V14; #605 ), references = 3, size of lhs = 18:
% 3.56/3.76 P_zero-{F}(V0), environment-{F}(V1), stable-{F}(V1), P_equilibrium-{F}(V1,V2), P_sk1-{F}(V1,V3), P_first_movers-{F}(V4), P_efficient_producers-{F}(V5), subpopulations-{F}(V4,V5,V1,V6), greater_or_equal-{F}(V6,V2), P_growth_rate-{F}(V5,V6,V0), P_growth_rate-{F}(V4,V6,V7), V7 == V0, subpopulations-{F}(V4,V5,V1,V8), greater_or_equal-{F}(V8,V3), P_growth_rate-{F}(V5,V8,V0), P_sk3-{F}(V9), in_environment-{F}(V9,V10), P_sk4-{F}(V10,V8) | greater-{T}(V0,V0)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #625: mergings( V15 == V20, V6 == V8, V0 == V10, V2 == V11, V10 == V18, V1 == V5, V11 == V19, V7 == V9; #616 ), references = 1, size of lhs = 25:
% 3.56/3.76 P_zero-{F}(V0), environment-{F}(V1), P_equilibrium-{F}(V1,V2), P_first_movers-{F}(V3), P_efficient_producers-{F}(V4), subpopulations-{F}(V3,V4,V1,V5), greater_or_equal-{F}(V5,V2), P_growth_rate-{F}(V4,V5,V0), P_growth_rate-{F}(V3,V5,V6), V6 == V0, subpopulations-{F}(V3,V4,V1,V7), greater_or_equal-{F}(V7,V2), P_growth_rate-{F}(V3,V7,V8), V8 == V0, P_growth_rate-{F}(V4,V7,V9), P_sk3-{F}(V10), in_environment-{F}(V10,V11), P_sk4-{F}(V11,V12), P_growth_rate-{F}(V3,V12,V9), P_growth_rate-{F}(V4,V12,V0), in_environment-{F}(V10,V13), P_sk4-{F}(V13,V14), P_growth_rate-{F}(V3,V14,V8), P_growth_rate-{F}(V4,V14,V15), greater-{F}(V15,V0) | greater-{T}(V0,V0)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #645: mergings( V14 == V19, V19 == V26, V26 == V30, V5 == V10, V10 == V22, V3 == V0, V4 == V12, V12 == V24, V13 == V25, V9 == V17, V18 == V24, V21 == V25, V24 == V29, V25 == V32, V6 == V11, V11 == V23; #628 ), references = 1, size of lhs = 27:
% 3.56/3.76 P_zero-{F}(V0), environment-{F}(V1), P_equilibrium-{F}(V1,V2), P_first_movers-{F}(V3), P_efficient_producers-{F}(V4), subpopulations-{F}(V3,V4,V1,V5), greater_or_equal-{F}(V5,V2), P_growth_rate-{F}(V4,V5,V0), P_growth_rate-{F}(V3,V5,V6), V6 == V0, subpopulations-{F}(V3,V4,V1,V7), greater_or_equal-{F}(V7,V2), P_sk3-{F}(V8), in_environment-{F}(V8,V9), P_sk4-{F}(V9,V10), P_growth_rate-{F}(V4,V10,V0), in_environment-{F}(V8,V11), P_sk4-{F}(V11,V7), in_environment-{F}(V8,V12), P_sk4-{F}(V12,V13), P_growth_rate-{F}(V4,V13,V0), P_growth_rate-{F}(V3,V10,V14), P_growth_rate-{F}(V3,V13,V14), P_growth_rate-{F}(V4,V7,V14), greater-{F}(V14,V0), in_environment-{F}(V8,V15), P_sk4-{F}(V15,V7) | P_growth_rate-{T}(V3,V7,V0)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #678: mergings( V10 == V15, V15 == V24, V24 == V29, V29 == V37, V37 == V43, V2 == V7, V7 == V20, V20 == V32, V0 == V27, V1 == V9, V9 == V22, V22 == V34, V18 == V23, V23 == V39, V27 == V41, V6 == V13, V13 == V40, V14 == V28, V19 == V31, V28 == V34, V31 == V39, V34 == V42, V3 == V8, V8 == V21, V21 == V33; #651 ), references = 1, size of lhs = 39:
% 3.56/3.76 environment-{F}(V0), P_equilibrium-{F}(V0,V1), P_zero-{F}(V2), P_first_movers-{F}(V3), P_efficient_producers-{F}(V4), subpopulations-{F}(V3,V4,V0,V5), greater_or_equal-{F}(V5,V1), P_growth_rate-{F}(V4,V5,V2), P_growth_rate-{F}(V3,V5,V6), V6 == V2, subpopulations-{F}(V3,V4,V0,V7), greater_or_equal-{F}(V7,V1), subpopulations-{F}(V3,V4,V0,V8), greater_or_equal-{F}(V8,V1), P_growth_rate-{F}(V4,V8,V2), P_growth_rate-{F}(V3,V8,V9), V9 == V2, greater-{F}(V9,V2), P_growth_rate-{F}(V4,V7,V10), greater-{F}(V10,V2), P_sk3-{F}(V11), in_environment-{F}(V11,V12), P_sk4-{F}(V12,V13), P_growth_rate-{F}(V4,V13,V2), P_growth_rate-{F}(V3,V13,V10), in_environment-{F}(V11,V14), P_sk4-{F}(V14,V7), in_environment-{F}(V11,V15), P_sk4-{F}(V15,V16), P_growth_rate-{F}(V4,V16,V2), P_growth_rate-{F}(V3,V16,V10), in_environment-{F}(V11,V17), P_sk4-{F}(V17,V7), in_environment-{F}(V11,V18), P_sk4-{F}(V18,V7), in_environment-{F}(V11,V19), P_sk4-{F}(V19,V20), P_growth_rate-{F}(V4,V20,V2), P_growth_rate-{F}(V3,V20,V9) | P_growth_rate-{T}(V3,V7,V2)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #705: mergings( V10 == V15, V15 == V24, V24 == V29, V29 == V37, V37 == V44, V2 == V7, V7 == V20, V20 == V32, V32 == V41, V0 == V27, V27 == V42, V1 == V9, V9 == V22, V22 == V34, V34 == V43, V18 == V23, V23 == V39, V6 == V13, V13 == V40, V14 == V28, V19 == V31, V28 == V43, V31 == V39, V3 == V8, V8 == V21, V21 == V33; #652 ), references = 1, size of lhs = 41:
% 3.56/3.76 P_zero-{F}(V0), environment-{F}(V1), stable-{F}(V1), P_equilibrium-{F}(V1,V2), P_sk1-{F}(V1,V3), V3 == V0, greater-{F}(V3,V0), P_first_movers-{F}(V4), P_efficient_producers-{F}(V5), subpopulations-{F}(V4,V5,V1,V0), P_growth_rate-{F}(V5,V0,V0), subpopulations-{F}(V4,V5,V1,V6), greater_or_equal-{F}(V6,V2), P_growth_rate-{F}(V5,V6,V0), P_growth_rate-{F}(V4,V6,V7), V7 == V0, subpopulations-{F}(V4,V5,V1,V8), greater_or_equal-{F}(V8,V2), subpopulations-{F}(V4,V5,V1,V9), greater_or_equal-{F}(V9,V2), P_growth_rate-{F}(V5,V9,V0), P_growth_rate-{F}(V4,V9,V3), P_growth_rate-{F}(V5,V8,V10), greater-{F}(V10,V0), P_sk3-{F}(V11), in_environment-{F}(V11,V12), P_sk4-{F}(V12,V13), P_growth_rate-{F}(V5,V13,V0), P_growth_rate-{F}(V4,V13,V10), in_environment-{F}(V11,V14), P_sk4-{F}(V14,V8), in_environment-{F}(V11,V15), P_sk4-{F}(V15,V16), P_growth_rate-{F}(V5,V16,V0), P_growth_rate-{F}(V4,V16,V10), in_environment-{F}(V11,V17), P_sk4-{F}(V17,V8), in_environment-{F}(V11,V18), P_sk4-{F}(V18,V8), in_environment-{F}(V11,V19), P_sk4-{F}(V19,V0) | P_growth_rate-{T}(V4,V8,V0)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #718: mergings( V0 == V8, V2 == V9; #715 ), references = 3, size of lhs = 16:
% 3.56/3.76 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), P_sk3-{F}(V8), in_environment-{F}(V8,V9), P_sk4-{F}(V9,V10), P_growth_rate-{F}(V2,V10,V6), P_growth_rate-{F}(V4,V10,V11), greater-{F}(V11,V3) | greater-{T}(V3,V7)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #733: mergings( V14 == V20, V5 == V7, V0 == V9, V2 == V10, V9 == V17, V10 == V19, V6 == V8; #725 ), references = 1, size of lhs = 24:
% 3.56/3.76 environment-{F}(V0), P_equilibrium-{F}(V0,V1), P_zero-{F}(V2), P_first_movers-{F}(V3), P_efficient_producers-{F}(V4), subpopulations-{F}(V3,V4,V0,V5), greater_or_equal-{F}(V5,V1), P_growth_rate-{F}(V4,V5,V6), V6 == V2, subpopulations-{F}(V3,V4,V0,V7), greater_or_equal-{F}(V7,V1), P_growth_rate-{F}(V3,V7,V8), V8 == V2, P_growth_rate-{F}(V4,V7,V9), greater-{F}(V9,V10), P_sk3-{F}(V11), in_environment-{F}(V11,V12), P_sk4-{F}(V12,V13), P_growth_rate-{F}(V3,V13,V8), P_growth_rate-{F}(V4,V13,V6), in_environment-{F}(V11,V14), P_sk4-{F}(V14,V15), P_growth_rate-{F}(V3,V15,V10), P_growth_rate-{F}(V4,V15,V6) | greater-{T}(V2,V6)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #738: mergings( V0 == V8, V2 == V9; #735 ), references = 3, size of lhs = 17:
% 3.56/3.76 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), P_sk3-{F}(V8), in_environment-{F}(V8,V9), P_sk4-{F}(V9,V10), P_growth_rate-{F}(V4,V10,V11), greater-{F}(V11,V6), P_growth_rate-{F}(V2,V10,V12), greater-{F}(V3,V12) | greater-{T}(V7,V3)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #761: mergings( V16 == V19, V19 == V26, V26 == V30, V5 == V10, V10 == V13, V13 == V22, V8 == V0, V9 == V4, V4 == V15, V15 == V21, V7 == V24, V3 == V28, V18 == V21, V21 == V25, V25 == V29, V11 == V14, V14 == V23; #743 ), references = 2, size of lhs = 24:
% 3.56/3.76 stable-{F}(V0), environment-{F}(V0), P_sk1-{F}(V0,V1), P_equilibrium-{F}(V0,V2), P_first_movers-{F}(V3), P_zero-{F}(V4), P_efficient_producers-{F}(V5), subpopulations-{F}(V3,V5,V0,V6), greater_or_equal-{F}(V6,V2), P_growth_rate-{F}(V5,V6,V7), V7 == V4, subpopulations-{F}(V3,V5,V0,V8), greater_or_equal-{F}(V8,V1), greater_or_equal-{F}(V8,V2), P_growth_rate-{F}(V5,V8,V7), P_sk3-{F}(V9), in_environment-{F}(V9,V10), P_sk4-{F}(V10,V8), in_environment-{F}(V9,V11), P_sk4-{F}(V11,V8), in_environment-{F}(V9,V12), P_sk4-{F}(V12,V8), in_environment-{F}(V9,V13), P_sk4-{F}(V13,V8) | P_growth_rate-{T}(V3,V8,V4)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #792: mergings( V11 == V13, V13 == V17, V17 == V19, V19 == V30, V30 == V34, V4 == V7, V7 == V9, V9 == V15, V15 == V22, V22 == V25, V6 == V27, V27 == V32, V3 == V21, V21 == V24, V0 == V33, V8 == V10, V10 == V16, V16 == V26, V5 == V23; #771 ), references = 1, size of lhs = 31:
% 3.56/3.76 stable-{F}(V0), environment-{F}(V0), P_sk1-{F}(V0,V1), P_zero-{F}(V2), P_equilibrium-{F}(V0,V3), P_first_movers-{F}(V4), P_efficient_producers-{F}(V5), subpopulations-{F}(V4,V5,V0,V6), greater_or_equal-{F}(V6,V3), greater_or_equal-{F}(V6,V1), subpopulations-{F}(V4,V5,V0,V7), greater_or_equal-{F}(V7,V3), P_growth_rate-{F}(V5,V7,V2), P_growth_rate-{F}(V4,V7,V8), V8 == V2, greater-{F}(V8,V2), P_sk3-{F}(V9), in_environment-{F}(V9,V10), P_sk4-{F}(V10,V6), in_environment-{F}(V9,V11), P_sk4-{F}(V11,V6), in_environment-{F}(V9,V12), P_sk4-{F}(V12,V6), in_environment-{F}(V9,V13), P_sk4-{F}(V13,V6), in_environment-{F}(V9,V14), P_sk4-{F}(V14,V6), in_environment-{F}(V9,V15), P_sk4-{F}(V15,V16), P_growth_rate-{F}(V5,V16,V2), P_growth_rate-{F}(V4,V16,V8) | P_growth_rate-{T}(V5,V6,V2)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #814: mergings( V11 == V13, V13 == V17, V17 == V19, V19 == V30, V30 == V35, V4 == V7, V7 == V9, V9 == V15, V15 == V22, V22 == V25, V25 == V32, V6 == V27, V27 == V33, V0 == V34, V3 == V21, V21 == V24, V8 == V10, V10 == V16, V16 == V26, V5 == V23, V23 == V29; #772 ), references = 1, size of lhs = 31:
% 3.56/3.76 P_zero-{F}(V0), environment-{F}(V1), stable-{F}(V1), P_equilibrium-{F}(V1,V2), P_sk1-{F}(V1,V3), V3 == V0, greater-{F}(V3,V0), P_first_movers-{F}(V4), P_efficient_producers-{F}(V5), subpopulations-{F}(V4,V5,V1,V0), P_growth_rate-{F}(V5,V0,V0), subpopulations-{F}(V4,V5,V1,V6), greater_or_equal-{F}(V6,V2), greater_or_equal-{F}(V6,V3), subpopulations-{F}(V4,V5,V1,V7), greater_or_equal-{F}(V7,V2), P_growth_rate-{F}(V5,V7,V0), P_growth_rate-{F}(V4,V7,V3), P_sk3-{F}(V8), in_environment-{F}(V8,V9), P_sk4-{F}(V9,V6), in_environment-{F}(V8,V10), P_sk4-{F}(V10,V6), in_environment-{F}(V8,V11), P_sk4-{F}(V11,V6), in_environment-{F}(V8,V12), P_sk4-{F}(V12,V6), in_environment-{F}(V8,V13), P_sk4-{F}(V13,V6), in_environment-{F}(V8,V14), P_sk4-{F}(V14,V0) | P_growth_rate-{T}(V5,V6,V0)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #828: mergings( V13 == V18, V5 == V7, V0 == V9, V2 == V10, V9 == V16, V10 == V17, V6 == V8; #820 ), references = 1, size of lhs = 24:
% 3.56/3.76 environment-{F}(V0), P_equilibrium-{F}(V0,V1), P_zero-{F}(V2), P_first_movers-{F}(V3), P_efficient_producers-{F}(V4), subpopulations-{F}(V3,V4,V0,V5), greater_or_equal-{F}(V5,V1), P_growth_rate-{F}(V4,V5,V6), V6 == V2, subpopulations-{F}(V3,V4,V0,V7), greater_or_equal-{F}(V7,V1), P_growth_rate-{F}(V4,V7,V6), P_growth_rate-{F}(V3,V7,V8), V8 == V2, P_sk3-{F}(V9), in_environment-{F}(V9,V10), P_sk4-{F}(V10,V11), P_growth_rate-{F}(V3,V11,V8), P_growth_rate-{F}(V4,V11,V6), in_environment-{F}(V9,V12), P_sk4-{F}(V12,V13), P_growth_rate-{F}(V3,V13,V2), P_growth_rate-{F}(V4,V13,V14), greater-{F}(V14,V2) | greater-{T}(V2,V6)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #833: mergings( V0 == V8, V1 == V5, V2 == V9; #829 ), references = 1, size of lhs = 16:
% 3.56/3.76 environment-{F}(V0), P_equilibrium-{F}(V0,V1), P_zero-{F}(V2), P_first_movers-{F}(V3), P_efficient_producers-{F}(V4), subpopulations-{F}(V3,V4,V0,V5), greater_or_equal-{F}(V5,V1), P_growth_rate-{F}(V3,V5,V2), P_growth_rate-{F}(V4,V5,V6), V6 == V2, P_sk3-{F}(V7), in_environment-{F}(V7,V8), P_sk4-{F}(V8,V9), P_growth_rate-{F}(V3,V9,V2), P_growth_rate-{F}(V4,V9,V10), greater-{F}(V10,V2) | greater-{T}(V2,V2)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #845: mergings( V6 == V17, V17 == V20, V3 == V12, V12 == V15, V11 == V14, V5 == V16, V4 == V13; #837 ), references = 36, size of lhs = 23:
% 3.56/3.76 stable-{F}(V0), environment-{F}(V0), P_sk1-{F}(V0,V1), P_zero-{F}(V2), P_equilibrium-{F}(V0,V3), P_first_movers-{F}(V4), P_efficient_producers-{F}(V5), subpopulations-{F}(V4,V5,V0,V6), greater_or_equal-{F}(V6,V1), greater_or_equal-{F}(V6,V3), P_sk3-{F}(V7), in_environment-{F}(V7,V8), P_sk4-{F}(V8,V6), in_environment-{F}(V7,V9), P_sk4-{F}(V9,V6), in_environment-{F}(V7,V10), P_sk4-{F}(V10,V6), in_environment-{F}(V7,V11), P_sk4-{F}(V11,V6), in_environment-{F}(V7,V12), P_sk4-{F}(V12,V6), in_environment-{F}(V7,V13), P_sk4-{F}(V13,V6) | P_growth_rate-{T}(V5,V6,V2)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #857: mergings( V9 == V16, V3 == V11, V0 == V13, V6 == V14, V5 == V12; #850 ), references = 1, size of lhs = 21:
% 3.56/3.76 P_zero-{F}(V0), environment-{F}(V1), stable-{F}(V1), P_equilibrium-{F}(V1,V2), P_sk1-{F}(V1,V3), P_first_movers-{F}(V4), P_efficient_producers-{F}(V5), subpopulations-{F}(V4,V5,V1,V6), greater_or_equal-{F}(V6,V2), P_growth_rate-{F}(V5,V6,V0), subpopulations-{F}(V4,V5,V1,V7), greater_or_equal-{F}(V7,V3), P_growth_rate-{F}(V5,V7,V0), subpopulations-{F}(V4,V5,V1,V8), greater_or_equal-{F}(V8,V3), P_growth_rate-{F}(V5,V8,V0), P_sk3-{F}(V9), in_environment-{F}(V9,V10), P_sk4-{F}(V10,V7), in_environment-{F}(V9,V11), P_sk4-{F}(V11,V8) | P_growth_rate-{T}(V4,V6,V0)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #864: mergings( V13 == V16, V5 == V8, V11 == V4, V3 == V7, V4 == V15, V6 == V10; #851 ), references = 33, size of lhs = 19:
% 3.56/3.76 P_zero-{F}(V0), environment-{F}(V1), stable-{F}(V1), P_equilibrium-{F}(V1,V2), P_sk1-{F}(V1,V3), P_first_movers-{F}(V4), P_efficient_producers-{F}(V5), subpopulations-{F}(V4,V5,V1,V6), greater_or_equal-{F}(V6,V3), P_growth_rate-{F}(V5,V6,V0), subpopulations-{F}(V4,V5,V1,V7), greater_or_equal-{F}(V7,V3), greater_or_equal-{F}(V7,V2), P_growth_rate-{F}(V5,V7,V0), P_sk3-{F}(V8), in_environment-{F}(V8,V9), P_sk4-{F}(V9,V6), in_environment-{F}(V8,V10), P_sk4-{F}(V10,V7) | P_growth_rate-{T}(V4,V7,V0)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #894: mergings( V0 == V5, V5 == V14, V14 == V17, V17 == V21, V21 == V27, V27 == V34, V3 == V11, V11 == V13, V13 == V19, V19 == V24, V24 == V30, V16 == V26, V26 == V32, V10 == V23, V23 == V29, V4 == V12, V12 == V20, V20 == V25, V25 == V31; #873 ), references = 4, size of lhs = 31:
% 3.56/3.76 P_zero-{F}(V0), environment-{F}(V1), stable-{F}(V1), P_equilibrium-{F}(V1,V2), P_sk1-{F}(V1,V3), P_first_movers-{F}(V4), P_efficient_producers-{F}(V5), subpopulations-{F}(V4,V5,V1,V6), V2 == V6, greater_or_equal-{F}(V6,V3), P_sk3-{F}(V7), in_environment-{F}(V7,V2), in_environment-{F}(V7,V6), in_environment-{F}(V7,V8), P_sk4-{F}(V8,V6), in_environment-{F}(V7,V9), P_sk4-{F}(V9,V6), in_environment-{F}(V7,V10), P_sk4-{F}(V10,V6), in_environment-{F}(V7,V11), P_sk4-{F}(V11,V6), in_environment-{F}(V7,V12), P_sk4-{F}(V12,V6), in_environment-{F}(V7,V13), P_sk4-{F}(V13,V6), in_environment-{F}(V7,V14), P_sk4-{F}(V14,V6), in_environment-{F}(V7,V15), P_sk4-{F}(V15,V6), in_environment-{F}(V7,V16), P_sk4-{F}(V16,V6) | greater-{T}(V2,V6)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #917: mergings( V0 == V5, V5 == V14, V14 == V17, V17 == V21, V21 == V27, V27 == V37, V3 == V11, V11 == V13, V13 == V19, V19 == V24, V24 == V31, V31 == V33, V16 == V26, V26 == V29, V29 == V35, V10 == V23, V23 == V30, V4 == V12, V12 == V20, V20 == V25, V25 == V32, V32 == V34; #874 ), references = 1, size of lhs = 31:
% 3.56/3.76 P_zero-{F}(V0), environment-{F}(V1), stable-{F}(V1), P_equilibrium-{F}(V1,V2), P_sk1-{F}(V1,V3), P_first_movers-{F}(V4), P_efficient_producers-{F}(V5), subpopulations-{F}(V4,V5,V1,V6), V2 == V6, greater_or_equal-{F}(V6,V3), P_sk3-{F}(V7), in_environment-{F}(V7,V2), in_environment-{F}(V7,V6), in_environment-{F}(V7,V8), P_sk4-{F}(V8,V6), in_environment-{F}(V7,V9), P_sk4-{F}(V9,V6), in_environment-{F}(V7,V10), P_sk4-{F}(V10,V6), in_environment-{F}(V7,V11), P_sk4-{F}(V11,V6), in_environment-{F}(V7,V12), P_sk4-{F}(V12,V6), in_environment-{F}(V7,V13), P_sk4-{F}(V13,V6), in_environment-{F}(V7,V14), P_sk4-{F}(V14,V6), in_environment-{F}(V7,V15), P_sk4-{F}(V15,V6), in_environment-{F}(V7,V16), P_sk4-{F}(V16,V6) | greater-{T}(V2,V6)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #946: mergings( V0 == V6, V6 == V16, V16 == V21, V3 == V13, V13 == V18, V5 == V15, V15 == V19, V4 == V14; #936 ), references = 1, size of lhs = 30:
% 3.56/3.76 P_zero-{F}(V0), greater_or_equal-{F}(V0,V1), environment-{F}(V2), P_equilibrium-{F}(V2,V1), stable-{F}(V2), P_sk1-{F}(V2,V3), V3 == V0, P_first_movers-{F}(V4), P_growth_rate-{F}(V4,V0,V3), P_efficient_producers-{F}(V5), subpopulations-{F}(V4,V5,V2,V0), P_sk3-{F}(V6), in_environment-{F}(V6,V3), in_environment-{F}(V6,V0), in_environment-{F}(V6,V7), P_sk4-{F}(V7,V0), in_environment-{F}(V6,V8), P_sk4-{F}(V8,V0), in_environment-{F}(V6,V9), P_sk4-{F}(V9,V0), in_environment-{F}(V6,V10), P_sk4-{F}(V10,V0), in_environment-{F}(V6,V11), P_sk4-{F}(V11,V0), in_environment-{F}(V6,V12), P_sk4-{F}(V12,V0), in_environment-{F}(V6,V13), P_sk4-{F}(V13,V0), in_environment-{F}(V6,V14), P_sk4-{F}(V14,V0) | greater-{T}(V3,V0)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #957: mergings( V0 == V6, V6 == V15, V15 == V21, V21 == V25, V3 == V13, V13 == V18, V5 == V20, V20 == V23, V4 == V14, V14 == V19; #937 ), references = 1, size of lhs = 34:
% 3.56/3.76 P_zero-{F}(V0), stable-{F}(V1), environment-{F}(V1), P_sk1-{F}(V1,V2), V2 == V0, P_equilibrium-{F}(V1,V3), greater_or_equal-{F}(V0,V3), P_first_movers-{F}(V4), P_growth_rate-{F}(V4,V0,V2), P_efficient_producers-{F}(V5), subpopulations-{F}(V4,V5,V1,V0), P_sk3-{F}(V6), in_environment-{F}(V6,V2), in_environment-{F}(V6,V0), in_environment-{F}(V6,V7), P_sk4-{F}(V7,V0), in_environment-{F}(V6,V8), P_sk4-{F}(V8,V0), in_environment-{F}(V6,V9), P_sk4-{F}(V9,V0), in_environment-{F}(V6,V10), P_sk4-{F}(V10,V0), in_environment-{F}(V6,V11), P_sk4-{F}(V11,V0), in_environment-{F}(V6,V12), P_sk4-{F}(V12,V0), in_environment-{F}(V6,V13), P_sk4-{F}(V13,V0), in_environment-{F}(V6,V14), P_sk4-{F}(V14,V0), in_environment-{F}(V6,V15), P_sk4-{F}(V15,V0), in_environment-{F}(V6,V16), P_sk4-{F}(V16,V0) | greater-{T}(V2,V0)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #1008: mergings( V3 == V7, V7 == V9, V9 == V10, V10 == V15, V4 == V13, V2 == V5, V5 == V11, V11 == V12, V6 == V14; #997 ), references = 19, size of lhs = 10:
% 3.56/3.76 environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), P_sk1-{F}(V0,V1), in_environment-{F}(V0,V1), greater-{F}(V1,V2), P_equilibrium-{F}(V0,V2), P_zero-{F}(V3), P_first_movers-{F}(V4), P_efficient_producers-{F}(V5) | P_sk4-{T}(V1,V1)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #1018: mergings( V3 == V7, V7 == V9, V9 == V10, V10 == V15, V4 == V13, V2 == V5, V5 == V11, V11 == V12, V6 == V14; #998 ), references = 1, size of lhs = 10:
% 3.56/3.76 environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), P_sk1-{F}(V0,V1), in_environment-{F}(V0,V1), greater-{F}(V1,V2), P_equilibrium-{F}(V0,V2), P_zero-{F}(V3), P_first_movers-{F}(V4), P_efficient_producers-{F}(V5) | P_sk4-{T}(V1,V1)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #1052: mergings( V0 == V6, V6 == V15, V15 == V23, V3 == V13, V13 == V20, V5 == V21, V17 == V19, V4 == V14; #1042 ), references = 9, size of lhs = 31:
% 3.56/3.76 P_zero-{F}(V0), environment-{F}(V1), stable-{F}(V1), P_equilibrium-{F}(V1,V2), P_sk1-{F}(V1,V3), P_first_movers-{F}(V4), P_efficient_producers-{F}(V5), subpopulations-{F}(V4,V5,V1,V6), V6 == V3, greater_or_equal-{F}(V6,V2), P_sk3-{F}(V7), in_environment-{F}(V7,V3), in_environment-{F}(V7,V6), in_environment-{F}(V7,V8), P_sk4-{F}(V8,V6), in_environment-{F}(V7,V9), P_sk4-{F}(V9,V6), in_environment-{F}(V7,V10), P_sk4-{F}(V10,V6), in_environment-{F}(V7,V11), P_sk4-{F}(V11,V6), in_environment-{F}(V7,V12), P_sk4-{F}(V12,V6), in_environment-{F}(V7,V13), P_sk4-{F}(V13,V6), in_environment-{F}(V7,V14), P_sk4-{F}(V14,V6), in_environment-{F}(V7,V15), P_sk4-{F}(V15,V6), in_environment-{F}(V7,V16), P_sk4-{F}(V16,V6) | greater-{T}(V3,V6)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #1063: mergings( V0 == V6, V6 == V15, V15 == V25, V3 == V13, V13 == V21, V21 == V22, V5 == V19, V19 == V23, V17 == V20, V4 == V14; #1043 ), references = 1, size of lhs = 31:
% 3.56/3.76 P_zero-{F}(V0), environment-{F}(V1), stable-{F}(V1), P_equilibrium-{F}(V1,V2), P_sk1-{F}(V1,V3), P_first_movers-{F}(V4), P_efficient_producers-{F}(V5), subpopulations-{F}(V4,V5,V1,V6), V6 == V3, greater_or_equal-{F}(V6,V2), P_sk3-{F}(V7), in_environment-{F}(V7,V3), in_environment-{F}(V7,V6), in_environment-{F}(V7,V8), P_sk4-{F}(V8,V6), in_environment-{F}(V7,V9), P_sk4-{F}(V9,V6), in_environment-{F}(V7,V10), P_sk4-{F}(V10,V6), in_environment-{F}(V7,V11), P_sk4-{F}(V11,V6), in_environment-{F}(V7,V12), P_sk4-{F}(V12,V6), in_environment-{F}(V7,V13), P_sk4-{F}(V13,V6), in_environment-{F}(V7,V14), P_sk4-{F}(V14,V6), in_environment-{F}(V7,V15), P_sk4-{F}(V15,V6), in_environment-{F}(V7,V16), P_sk4-{F}(V16,V6) | greater-{T}(V3,V6)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #1158: mergings( V0 == V6, V6 == V16, V16 == V24, V3 == V14, V14 == V21, V5 == V22, V18 == V20, V4 == V15; #1148 ), references = 7, size of lhs = 32:
% 3.56/3.76 P_zero-{F}(V0), environment-{F}(V1), stable-{F}(V1), P_equilibrium-{F}(V1,V2), P_sk1-{F}(V1,V3), P_first_movers-{F}(V4), P_efficient_producers-{F}(V5), subpopulations-{F}(V4,V5,V1,V6), greater_or_equal-{F}(V6,V2), greater-{F}(V6,V7), V7 == V3, P_sk3-{F}(V8), in_environment-{F}(V8,V3), in_environment-{F}(V8,V7), in_environment-{F}(V8,V9), P_sk4-{F}(V9,V6), in_environment-{F}(V8,V10), P_sk4-{F}(V10,V6), in_environment-{F}(V8,V11), P_sk4-{F}(V11,V6), in_environment-{F}(V8,V12), P_sk4-{F}(V12,V6), in_environment-{F}(V8,V13), P_sk4-{F}(V13,V6), in_environment-{F}(V8,V14), P_sk4-{F}(V14,V6), in_environment-{F}(V8,V15), P_sk4-{F}(V15,V6), in_environment-{F}(V8,V16), P_sk4-{F}(V16,V6), in_environment-{F}(V8,V17), P_sk4-{F}(V17,V6) | greater-{T}(V3,V7)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #1169: mergings( V0 == V6, V6 == V16, V16 == V26, V3 == V14, V14 == V22, V22 == V23, V5 == V20, V20 == V24, V18 == V21, V4 == V15; #1149 ), references = 1, size of lhs = 32:
% 3.56/3.76 P_zero-{F}(V0), environment-{F}(V1), stable-{F}(V1), P_equilibrium-{F}(V1,V2), P_sk1-{F}(V1,V3), P_first_movers-{F}(V4), P_efficient_producers-{F}(V5), subpopulations-{F}(V4,V5,V1,V6), greater_or_equal-{F}(V6,V2), greater-{F}(V6,V7), V7 == V3, P_sk3-{F}(V8), in_environment-{F}(V8,V3), in_environment-{F}(V8,V7), in_environment-{F}(V8,V9), P_sk4-{F}(V9,V6), in_environment-{F}(V8,V10), P_sk4-{F}(V10,V6), in_environment-{F}(V8,V11), P_sk4-{F}(V11,V6), in_environment-{F}(V8,V12), P_sk4-{F}(V12,V6), in_environment-{F}(V8,V13), P_sk4-{F}(V13,V6), in_environment-{F}(V8,V14), P_sk4-{F}(V14,V6), in_environment-{F}(V8,V15), P_sk4-{F}(V15,V6), in_environment-{F}(V8,V16), P_sk4-{F}(V16,V6), in_environment-{F}(V8,V17), P_sk4-{F}(V17,V6) | greater-{T}(V3,V7)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #1219: mergings( V3 == V7, V7 == V8, V8 == V11, V11 == V12, V12 == V17, V17 == V22, V22 == V31, V31 == V40, V40 == V18, V18 == V29, V29 == V36, V21 == V38, V4 == V15, V15 == V38, V2 == V5, V5 == V13, V13 == V14, V14 == V33, V33 == V35, V6 == V16, V16 == V39, V10 == V20, V9 == V19, V19 == V30, V30 == V37; #1192 ), references = 1, size of lhs = 32:
% 3.56/3.76 P_zero-{F}(V0), environment-{F}(V1), stable-{F}(V1), P_sk3-{F}(V1), in_environment-{F}(V1,V2), P_sk1-{F}(V1,V2), greater_or_equal-{F}(V2,V2), in_environment-{F}(V1,V3), V3 == V2, greater-{F}(V3,V4), P_equilibrium-{F}(V1,V4), in_environment-{F}(V1,V5), P_sk4-{F}(V5,V2), in_environment-{F}(V1,V6), P_sk4-{F}(V6,V2), in_environment-{F}(V1,V7), P_sk4-{F}(V7,V2), in_environment-{F}(V1,V8), P_sk4-{F}(V8,V2), in_environment-{F}(V1,V9), P_sk4-{F}(V9,V2), in_environment-{F}(V1,V10), P_sk4-{F}(V10,V2), in_environment-{F}(V1,V11), P_sk4-{F}(V11,V2), in_environment-{F}(V1,V12), P_sk4-{F}(V12,V2), P_first_movers-{F}(V13), P_efficient_producers-{F}(V14), subpopulations-{F}(V13,V14,V1,V2), in_environment-{F}(V1,V15), P_sk4-{F}(V15,V2) | P_sk4-{T}(V3,V3)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #1248: mergings( V3 == V7, V7 == V8, V8 == V11, V11 == V12, V12 == V17, V17 == V22, V22 == V31, V31 == V43, V43 == V18, V18 == V29, V29 == V37, V37 == V39, V21 == V35, V35 == V41, V4 == V15, V15 == V41, V2 == V5, V5 == V13, V13 == V14, V14 == V33, V33 == V36, V6 == V16, V16 == V42, V10 == V20, V9 == V19, V19 == V30, V30 == V38, V38 == V40; #1193 ), references = 1, size of lhs = 32:
% 3.56/3.76 P_zero-{F}(V0), environment-{F}(V1), stable-{F}(V1), P_sk3-{F}(V1), in_environment-{F}(V1,V2), P_sk1-{F}(V1,V2), greater_or_equal-{F}(V2,V2), in_environment-{F}(V1,V3), V3 == V2, greater-{F}(V3,V4), P_equilibrium-{F}(V1,V4), in_environment-{F}(V1,V5), P_sk4-{F}(V5,V2), in_environment-{F}(V1,V6), P_sk4-{F}(V6,V2), in_environment-{F}(V1,V7), P_sk4-{F}(V7,V2), in_environment-{F}(V1,V8), P_sk4-{F}(V8,V2), in_environment-{F}(V1,V9), P_sk4-{F}(V9,V2), in_environment-{F}(V1,V10), P_sk4-{F}(V10,V2), in_environment-{F}(V1,V11), P_sk4-{F}(V11,V2), in_environment-{F}(V1,V12), P_sk4-{F}(V12,V2), P_first_movers-{F}(V13), P_efficient_producers-{F}(V14), subpopulations-{F}(V13,V14,V1,V2), in_environment-{F}(V1,V15), P_sk4-{F}(V15,V2) | P_sk4-{T}(V3,V3)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #1332: mergings( V3 == V7, V7 == V13, V13 == V14, V14 == V20, V20 == V22, V22 == V24, V24 == V30, V4 == V11, V11 == V17, V17 == V28, V2 == V5, V5 == V8, V8 == V16, V16 == V19, V19 == V25, V25 == V26, V6 == V12, V12 == V18, V18 == V29, V9 == V15, V10 == V21, V21 == V23, V23 == V27; #1307 ), references = 3, size of lhs = 13:
% 3.56/3.76 environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), in_environment-{F}(V0,V1), greater-{F}(V1,V2), P_equilibrium-{F}(V0,V2), P_zero-{F}(V3), P_sk1-{F}(V0,V4), V1 == V4, greater_or_equal-{F}(V4,V4), in_environment-{F}(V0,V4), P_first_movers-{F}(V5), P_efficient_producers-{F}(V6) | P_sk4-{T}(V1,V1)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #1357: mergings( V3 == V7, V7 == V13, V13 == V14, V14 == V20, V20 == V22, V22 == V24, V24 == V31, V4 == V11, V11 == V17, V17 == V29, V2 == V5, V5 == V8, V8 == V16, V16 == V19, V19 == V25, V25 == V26, V6 == V12, V12 == V18, V18 == V30, V9 == V15, V10 == V21, V21 == V23, V23 == V27, V27 == V28; #1308 ), references = 1, size of lhs = 13:
% 3.56/3.76 environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), in_environment-{F}(V0,V1), greater-{F}(V1,V2), P_equilibrium-{F}(V0,V2), P_zero-{F}(V3), P_sk1-{F}(V0,V4), V1 == V4, greater_or_equal-{F}(V4,V4), in_environment-{F}(V0,V4), P_first_movers-{F}(V5), P_efficient_producers-{F}(V6) | P_sk4-{T}(V1,V1)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #1433: mergings( V16 == V22, V22 == V24, V24 == V26, V26 == V32, V32 == V0, V0 == V38, V38 == V43, V43 == V45, V45 == V47, V47 == V53, V2 == V5, V5 == V10, V10 == V14, V14 == V19, V19 == V30, V30 == V36, V36 == V40, V40 == V51, V3 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V18, V18 == V21, V21 == V27, V27 == V28, V28 == V33, V33 == V34, V34 == V39, V39 == V42, V42 == V48, V48 == V49, V4 == V7, V7 == V12, V12 == V15, V15 == V20, V20 == V31, V31 == V37, V37 == V41, V41 == V52, V23 == V25, V25 == V29, V29 == V17, V17 == V35, V35 == V44, V44 == V46, V46 == V50; #1384 ), references = 1, size of lhs = 10:
% 3.56/3.76 environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), P_equilibrium-{F}(V0,V1), P_zero-{F}(V2), P_sk1-{F}(V0,V3), greater_or_equal-{F}(V3,V3), in_environment-{F}(V0,V3), P_first_movers-{F}(V4), P_efficient_producers-{F}(V5) | P_sk2-{T}(V0,V1), P_sk2-{T}(V0,V3)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #1482: mergings( V16 == V22, V22 == V24, V24 == V26, V26 == V32, V32 == V0, V0 == V38, V38 == V43, V43 == V45, V45 == V47, V47 == V54, V2 == V5, V5 == V10, V10 == V14, V14 == V19, V19 == V30, V30 == V36, V36 == V40, V40 == V52, V3 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V18, V18 == V21, V21 == V27, V27 == V28, V28 == V33, V33 == V34, V34 == V39, V39 == V42, V42 == V48, V48 == V49, V4 == V7, V7 == V12, V12 == V15, V15 == V20, V20 == V31, V31 == V37, V37 == V41, V41 == V53, V23 == V25, V25 == V29, V29 == V17, V17 == V35, V35 == V44, V44 == V46, V46 == V50, V50 == V51; #1385 ), references = 1, size of lhs = 10:
% 3.56/3.76 environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), P_equilibrium-{F}(V0,V1), P_zero-{F}(V2), P_sk1-{F}(V0,V3), greater_or_equal-{F}(V3,V3), in_environment-{F}(V0,V3), P_first_movers-{F}(V4), P_efficient_producers-{F}(V5) | P_sk2-{T}(V0,V1), P_sk2-{T}(V0,V3)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #1611: mergings( V13 == V20, V20 == V22, V22 == V24, V24 == V30, V30 == V37, V37 == V42, V42 == V44, V44 == V46, V46 == V52, V52 == V32, V32 == V62, V62 == V67, V67 == V69, V69 == V75, V75 == V80, V80 == V85, V85 == V87, V87 == V89, V89 == V95, V0 == V3, V3 == V7, V7 == V11, V11 == V17, V17 == V28, V28 == V35, V35 == V39, V39 == V50, V50 == V53, V53 == V60, V60 == V64, V64 == V73, V73 == V76, V76 == V82, V82 == V93, V1 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V14, V14 == V16, V16 == V19, V19 == V25, V25 == V26, V26 == V31, V31 == V33, V33 == V38, V38 == V41, V41 == V47, V47 == V48, V48 == V54, V54 == V56, V56 == V57, V57 == V63, V63 == V66, V66 == V70, V70 == V77, V77 == V81, V81 == V84, V84 == V90, V90 == V91, V2 == V5, V5 == V9, V9 == V12, V12 == V18, V18 == V29, V29 == V36, V36 == V40, V40 == V51, V51 == V55, V55 == V61, V61 == V65, V65 == V74, V74 == V78, V78 == V83, V83 == V94, V58 == V91, V91 == V79, V21 == V23, V23 == V27, V27 == V43, V43 == V45, V45 == V49, V49 == V34, V34 == V59, V59 == V68, V68 == V71, V71 == V72, V72 == V15, V15 == V86, V86 == V88, V88 == V92; #1516 ), references = 3, size of lhs = 13:
% 3.56/3.76 environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), P_equilibrium-{F}(V0,V1), P_sk4-{F}(V1,V1), greater_or_equal-{F}(V1,V1), P_zero-{F}(V1), P_sk1-{F}(V0,V2), V2 == V1, greater_or_equal-{F}(V2,V2), in_environment-{F}(V0,V2), P_first_movers-{F}(V3), P_efficient_producers-{F}(V4) | P_sk2-{T}(V0,V2)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #1704: mergings( V13 == V20, V20 == V22, V22 == V24, V24 == V30, V30 == V37, V37 == V42, V42 == V44, V44 == V46, V46 == V52, V52 == V32, V32 == V62, V62 == V67, V67 == V69, V69 == V75, V75 == V80, V80 == V85, V85 == V87, V87 == V89, V89 == V96, V0 == V3, V3 == V7, V7 == V11, V11 == V17, V17 == V28, V28 == V35, V35 == V39, V39 == V50, V50 == V53, V53 == V60, V60 == V64, V64 == V73, V73 == V76, V76 == V82, V82 == V94, V1 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V14, V14 == V16, V16 == V19, V19 == V25, V25 == V26, V26 == V31, V31 == V33, V33 == V38, V38 == V41, V41 == V47, V47 == V48, V48 == V54, V54 == V56, V56 == V57, V57 == V63, V63 == V66, V66 == V70, V70 == V77, V77 == V81, V81 == V84, V84 == V90, V90 == V91, V2 == V5, V5 == V9, V9 == V12, V12 == V18, V18 == V29, V29 == V36, V36 == V40, V40 == V51, V51 == V55, V55 == V61, V61 == V65, V65 == V74, V74 == V78, V78 == V83, V83 == V95, V58 == V91, V91 == V79, V21 == V23, V23 == V27, V27 == V43, V43 == V45, V45 == V49, V49 == V34, V34 == V59, V59 == V68, V68 == V71, V71 == V72, V72 == V15, V15 == V86, V86 == V88, V88 == V92, V92 == V93; #1517 ), references = 1, size of lhs = 13:
% 3.56/3.76 environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), P_equilibrium-{F}(V0,V1), P_sk4-{F}(V1,V1), greater_or_equal-{F}(V1,V1), P_zero-{F}(V1), P_sk1-{F}(V0,V2), V2 == V1, greater_or_equal-{F}(V2,V2), in_environment-{F}(V0,V2), P_first_movers-{F}(V3), P_efficient_producers-{F}(V4) | P_sk2-{T}(V0,V2)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #1797: mergings( V13 == V20, V20 == V22, V22 == V24, V24 == V30, V30 == V37, V37 == V42, V42 == V44, V44 == V46, V46 == V52, V52 == V32, V32 == V62, V62 == V67, V67 == V69, V69 == V73, V73 == V76, V76 == V81, V81 == V86, V86 == V88, V88 == V90, V90 == V96, V0 == V3, V3 == V7, V7 == V11, V11 == V17, V17 == V28, V28 == V35, V35 == V39, V39 == V50, V50 == V53, V53 == V60, V60 == V64, V64 == V74, V74 == V77, V77 == V83, V83 == V94, V1 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V14, V14 == V16, V16 == V19, V19 == V25, V25 == V26, V26 == V31, V31 == V33, V33 == V38, V38 == V41, V41 == V47, V47 == V48, V48 == V54, V54 == V56, V56 == V57, V57 == V63, V63 == V66, V66 == V70, V70 == V78, V78 == V82, V82 == V85, V85 == V91, V91 == V92, V2 == V5, V5 == V9, V9 == V12, V12 == V18, V18 == V29, V29 == V36, V36 == V40, V40 == V51, V51 == V55, V55 == V61, V61 == V65, V65 == V75, V75 == V79, V79 == V84, V84 == V95, V58 == V92, V92 == V80, V21 == V23, V23 == V27, V27 == V43, V43 == V45, V45 == V49, V49 == V34, V34 == V59, V59 == V68, V68 == V71, V71 == V72, V72 == V15, V15 == V87, V87 == V89, V89 == V93; #1518 ), references = 1, size of lhs = 13:
% 3.56/3.76 environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), P_equilibrium-{F}(V0,V1), P_sk4-{F}(V1,V1), greater_or_equal-{F}(V1,V1), P_zero-{F}(V1), P_sk1-{F}(V0,V2), V2 == V1, greater_or_equal-{F}(V2,V2), in_environment-{F}(V0,V2), P_first_movers-{F}(V3), P_efficient_producers-{F}(V4) | P_sk2-{T}(V0,V2)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #1853: mergings( V2 == V6, V6 == V8, V8 == V12, V12 == V18, V3 == V5, V5 == V9, V9 == V11, V11 == V14, V14 == V16, V16 == V17, V4 == V7, V7 == V10, V10 == V13, V13 == V19, V17 == V15; #1836 ), references = 1, size of lhs = 9:
% 3.56/3.76 environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), P_equilibrium-{F}(V0,V1), P_sk4-{F}(V1,V1), greater_or_equal-{F}(V1,V1), P_zero-{F}(V1), P_first_movers-{F}(V2), P_efficient_producers-{F}(V3) | P_sk1-{T}(V0,V1)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #1869: mergings( V2 == V6, V6 == V8, V8 == V12, V12 == V18, V3 == V5, V5 == V9, V9 == V11, V11 == V14, V14 == V16, V16 == V17, V4 == V7, V7 == V10, V10 == V13, V13 == V19, V17 == V15; #1837 ), references = 1, size of lhs = 9:
% 3.56/3.76 environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), P_equilibrium-{F}(V0,V1), P_sk4-{F}(V1,V1), greater_or_equal-{F}(V1,V1), P_zero-{F}(V1), P_first_movers-{F}(V2), P_efficient_producers-{F}(V3) | P_sk1-{T}(V0,V1)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #1908: mergings( V0 == V4, V4 == V6, V6 == V10, V10 == V17, V17 == V19, V19 == V27, V1 == V3, V3 == V7, V7 == V9, V9 == V12, V12 == V15, V15 == V16, V16 == V20, V20 == V22, V22 == V25, V25 == V26, V2 == V5, V5 == V8, V8 == V11, V11 == V18, V18 == V21, V21 == V28, V26 == V14, V14 == V23, V23 == V24, V24 == V29; #1880 ), references = 1, size of lhs = 9:
% 3.56/3.76 environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), P_equilibrium-{F}(V0,V1), P_zero-{F}(V1), P_sk4-{F}(V1,V1), greater_or_equal-{F}(V1,V1), P_first_movers-{F}(V2), P_efficient_producers-{F}(V3) | P_sk1-{T}(V0,V1)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #1935: mergings( V0 == V4, V4 == V6, V6 == V10, V10 == V17, V17 == V19, V19 == V27, V1 == V3, V3 == V7, V7 == V9, V9 == V12, V12 == V15, V15 == V16, V16 == V20, V20 == V22, V22 == V25, V25 == V26, V2 == V5, V5 == V8, V8 == V11, V11 == V18, V18 == V21, V21 == V28, V26 == V14, V14 == V23, V23 == V24, V24 == V29; #1881 ), references = 1, size of lhs = 9:
% 3.56/3.76 environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), P_equilibrium-{F}(V0,V1), P_zero-{F}(V1), P_sk4-{F}(V1,V1), greater_or_equal-{F}(V1,V1), P_first_movers-{F}(V2), P_efficient_producers-{F}(V3) | P_sk1-{T}(V0,V1)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #2020: mergings( V3 == V7, V7 == V12, V12 == V16, V16 == V25, V25 == V34, V34 == V13, V13 == V23, V23 == V30, V15 == V32, V4 == V10, V10 == V32, V2 == V5, V5 == V8, V8 == V27, V27 == V29, V6 == V11, V11 == V33, V9 == V14, V14 == V24, V24 == V31; #1998 ), references = 1, size of lhs = 31:
% 3.56/3.76 P_zero-{F}(V0), environment-{F}(V1), stable-{F}(V1), P_sk3-{F}(V1), in_environment-{F}(V1,V2), P_sk1-{F}(V1,V2), greater_or_equal-{F}(V2,V2), in_environment-{F}(V1,V3), V3 == V2, P_equilibrium-{F}(V1,V3), in_environment-{F}(V1,V4), P_sk4-{F}(V4,V2), in_environment-{F}(V1,V5), P_sk4-{F}(V5,V2), in_environment-{F}(V1,V6), P_sk4-{F}(V6,V2), in_environment-{F}(V1,V7), P_sk4-{F}(V7,V2), in_environment-{F}(V1,V8), P_sk4-{F}(V8,V2), in_environment-{F}(V1,V9), P_sk4-{F}(V9,V2), in_environment-{F}(V1,V10), P_sk4-{F}(V10,V2), in_environment-{F}(V1,V11), P_sk4-{F}(V11,V2), P_first_movers-{F}(V12), P_efficient_producers-{F}(V13), subpopulations-{F}(V12,V13,V1,V2), in_environment-{F}(V1,V14), P_sk4-{F}(V14,V2) | P_sk4-{T}(V3,V3)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #2044: mergings( V3 == V7, V7 == V12, V12 == V16, V16 == V25, V25 == V37, V37 == V13, V13 == V23, V23 == V31, V31 == V33, V15 == V29, V29 == V35, V4 == V10, V10 == V35, V2 == V5, V5 == V8, V8 == V27, V27 == V30, V6 == V11, V11 == V36, V9 == V14, V14 == V24, V24 == V32, V32 == V34; #1999 ), references = 1, size of lhs = 31:
% 3.56/3.76 P_zero-{F}(V0), environment-{F}(V1), stable-{F}(V1), P_sk3-{F}(V1), in_environment-{F}(V1,V2), P_sk1-{F}(V1,V2), greater_or_equal-{F}(V2,V2), in_environment-{F}(V1,V3), V3 == V2, P_equilibrium-{F}(V1,V3), in_environment-{F}(V1,V4), P_sk4-{F}(V4,V2), in_environment-{F}(V1,V5), P_sk4-{F}(V5,V2), in_environment-{F}(V1,V6), P_sk4-{F}(V6,V2), in_environment-{F}(V1,V7), P_sk4-{F}(V7,V2), in_environment-{F}(V1,V8), P_sk4-{F}(V8,V2), in_environment-{F}(V1,V9), P_sk4-{F}(V9,V2), in_environment-{F}(V1,V10), P_sk4-{F}(V10,V2), in_environment-{F}(V1,V11), P_sk4-{F}(V11,V2), P_first_movers-{F}(V12), P_efficient_producers-{F}(V13), subpopulations-{F}(V12,V13,V1,V2), in_environment-{F}(V1,V14), P_sk4-{F}(V14,V2) | P_sk4-{T}(V3,V3)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #2108: mergings( V3 == V7, V7 == V12, V12 == V13, V13 == V18, V18 == V20, V20 == V22, V22 == V28, V4 == V10, V10 == V15, V15 == V26, V2 == V5, V5 == V8, V8 == V14, V14 == V17, V17 == V23, V23 == V24, V6 == V11, V11 == V16, V16 == V27, V9 == V19, V19 == V21, V21 == V25; #2084 ), references = 3, size of lhs = 12:
% 3.56/3.76 environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), in_environment-{F}(V0,V1), P_equilibrium-{F}(V0,V1), P_zero-{F}(V2), P_sk1-{F}(V0,V3), V1 == V3, greater_or_equal-{F}(V3,V3), in_environment-{F}(V0,V3), P_first_movers-{F}(V4), P_efficient_producers-{F}(V5) | P_sk4-{T}(V1,V1)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #2132: mergings( V3 == V7, V7 == V12, V12 == V13, V13 == V18, V18 == V20, V20 == V22, V22 == V29, V4 == V10, V10 == V15, V15 == V27, V2 == V5, V5 == V8, V8 == V14, V14 == V17, V17 == V23, V23 == V24, V6 == V11, V11 == V16, V16 == V28, V9 == V19, V19 == V21, V21 == V25, V25 == V26; #2085 ), references = 1, size of lhs = 12:
% 3.56/3.76 environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), in_environment-{F}(V0,V1), P_equilibrium-{F}(V0,V1), P_zero-{F}(V2), P_sk1-{F}(V0,V3), V1 == V3, greater_or_equal-{F}(V3,V3), in_environment-{F}(V0,V3), P_first_movers-{F}(V4), P_efficient_producers-{F}(V5) | P_sk4-{T}(V1,V1)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #2211: mergings( V0 == V18, V18 == V23, V23 == V25, V25 == V27, V27 == V33, V2 == V5, V5 == V10, V10 == V16, V16 == V20, V20 == V31, V3 == V6, V6 == V9, V9 == V12, V12 == V14, V14 == V19, V19 == V22, V22 == V28, V28 == V29, V4 == V7, V7 == V11, V11 == V17, V17 == V21, V21 == V32, V13 == V15, V15 == V24, V24 == V26, V26 == V30; #2182 ), references = 1, size of lhs = 10:
% 3.56/3.76 environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), P_equilibrium-{F}(V0,V1), P_zero-{F}(V2), P_sk1-{F}(V0,V3), greater_or_equal-{F}(V3,V3), in_environment-{F}(V0,V3), P_first_movers-{F}(V4), P_efficient_producers-{F}(V5) | P_sk2-{T}(V0,V1), P_sk2-{T}(V0,V3)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #2240: mergings( V0 == V18, V18 == V23, V23 == V25, V25 == V27, V27 == V34, V2 == V5, V5 == V10, V10 == V16, V16 == V20, V20 == V32, V3 == V6, V6 == V9, V9 == V12, V12 == V14, V14 == V19, V19 == V22, V22 == V28, V28 == V29, V4 == V7, V7 == V11, V11 == V17, V17 == V21, V21 == V33, V13 == V15, V15 == V24, V24 == V26, V26 == V30, V30 == V31; #2183 ), references = 1, size of lhs = 10:
% 3.56/3.76 environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), P_equilibrium-{F}(V0,V1), P_zero-{F}(V2), P_sk1-{F}(V0,V3), greater_or_equal-{F}(V3,V3), in_environment-{F}(V0,V3), P_first_movers-{F}(V4), P_efficient_producers-{F}(V5) | P_sk2-{T}(V0,V1), P_sk2-{T}(V0,V3)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #2326: mergings( V10 == V17, V17 == V22, V22 == V24, V24 == V26, V26 == V32, V32 == V37, V37 == V42, V42 == V44, V44 == V46, V46 == V52, V52 == V57, V57 == V62, V62 == V64, V64 == V66, V66 == V72, V0 == V3, V3 == V7, V7 == V15, V15 == V19, V19 == V30, V30 == V33, V33 == V39, V39 == V50, V50 == V53, V53 == V59, V59 == V70, V1 == V4, V4 == V6, V6 == V9, V9 == V13, V13 == V18, V18 == V21, V21 == V27, V27 == V28, V28 == V34, V34 == V38, V38 == V41, V41 == V47, V47 == V48, V48 == V54, V54 == V58, V58 == V61, V61 == V67, V67 == V68, V2 == V5, V5 == V8, V8 == V16, V16 == V20, V20 == V31, V31 == V35, V35 == V40, V40 == V51, V51 == V55, V55 == V60, V60 == V71, V11 == V36, V36 == V56, V23 == V25, V25 == V29, V29 == V12, V12 == V43, V43 == V45, V45 == V49, V49 == V14, V14 == V63, V63 == V65, V65 == V69; #2255 ), references = 3, size of lhs = 11:
% 3.56/3.76 environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), P_equilibrium-{F}(V0,V1), P_zero-{F}(V2), P_sk1-{F}(V0,V3), V3 == V1, greater_or_equal-{F}(V3,V3), in_environment-{F}(V0,V3), P_first_movers-{F}(V4), P_efficient_producers-{F}(V5) | P_sk2-{T}(V0,V1)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #2395: mergings( V10 == V17, V17 == V22, V22 == V24, V24 == V26, V26 == V32, V32 == V37, V37 == V42, V42 == V44, V44 == V46, V46 == V52, V52 == V57, V57 == V62, V62 == V64, V64 == V66, V66 == V73, V0 == V3, V3 == V7, V7 == V15, V15 == V19, V19 == V30, V30 == V33, V33 == V39, V39 == V50, V50 == V53, V53 == V59, V59 == V71, V1 == V4, V4 == V6, V6 == V9, V9 == V13, V13 == V18, V18 == V21, V21 == V27, V27 == V28, V28 == V34, V34 == V38, V38 == V41, V41 == V47, V47 == V48, V48 == V54, V54 == V58, V58 == V61, V61 == V67, V67 == V68, V2 == V5, V5 == V8, V8 == V16, V16 == V20, V20 == V31, V31 == V35, V35 == V40, V40 == V51, V51 == V55, V55 == V60, V60 == V72, V11 == V36, V36 == V56, V23 == V25, V25 == V29, V29 == V12, V12 == V43, V43 == V45, V45 == V49, V49 == V14, V14 == V63, V63 == V65, V65 == V69, V69 == V70; #2256 ), references = 1, size of lhs = 11:
% 3.56/3.76 environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), P_equilibrium-{F}(V0,V1), P_zero-{F}(V2), P_sk1-{F}(V0,V3), V3 == V1, greater_or_equal-{F}(V3,V3), in_environment-{F}(V0,V3), P_first_movers-{F}(V4), P_efficient_producers-{F}(V5) | P_sk2-{T}(V0,V1)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #2464: mergings( V10 == V17, V17 == V22, V22 == V24, V24 == V26, V26 == V32, V32 == V37, V37 == V42, V42 == V44, V44 == V46, V46 == V53, V53 == V58, V58 == V63, V63 == V65, V65 == V67, V67 == V73, V0 == V3, V3 == V7, V7 == V15, V15 == V19, V19 == V30, V30 == V33, V33 == V39, V39 == V51, V51 == V54, V54 == V60, V60 == V71, V1 == V4, V4 == V6, V6 == V9, V9 == V13, V13 == V18, V18 == V21, V21 == V27, V27 == V28, V28 == V34, V34 == V38, V38 == V41, V41 == V47, V47 == V48, V48 == V55, V55 == V59, V59 == V62, V62 == V68, V68 == V69, V2 == V5, V5 == V8, V8 == V16, V16 == V20, V20 == V31, V31 == V35, V35 == V40, V40 == V52, V52 == V56, V56 == V61, V61 == V72, V11 == V36, V36 == V57, V23 == V25, V25 == V29, V29 == V12, V12 == V43, V43 == V45, V45 == V49, V49 == V50, V50 == V14, V14 == V64, V64 == V66, V66 == V70; #2257 ), references = 1, size of lhs = 11:
% 3.56/3.76 environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), P_equilibrium-{F}(V0,V1), P_zero-{F}(V2), P_sk1-{F}(V0,V3), V3 == V1, greater_or_equal-{F}(V3,V3), in_environment-{F}(V0,V3), P_first_movers-{F}(V4), P_efficient_producers-{F}(V5) | P_sk2-{T}(V0,V1)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #2545: mergings( V2 == V6, V6 == V8, V8 == V12, V12 == V16, V16 == V19, V19 == V26, V3 == V5, V5 == V9, V9 == V11, V11 == V14, V14 == V15, V15 == V18, V18 == V21, V21 == V24, V24 == V25, V4 == V7, V7 == V10, V10 == V13, V13 == V17, V17 == V20, V20 == V27, V22 == V23; #2521 ), references = 2, size of lhs = 8:
% 3.56/3.76 environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), P_equilibrium-{F}(V0,V1), greater_or_equal-{F}(V1,V1), P_zero-{F}(V2), P_first_movers-{F}(V3), P_efficient_producers-{F}(V4) | P_sk1-{T}(V0,V1)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #2570: mergings( V2 == V6, V6 == V8, V8 == V12, V12 == V17, V17 == V24, V24 == V28, V3 == V5, V5 == V9, V9 == V11, V11 == V14, V14 == V15, V15 == V16, V16 == V19, V19 == V22, V22 == V23, V23 == V25, V4 == V7, V7 == V10, V10 == V13, V13 == V18, V18 == V26, V26 == V29, V20 == V21, V21 == V27; #2522 ), references = 1, size of lhs = 8:
% 3.56/3.76 environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), P_zero-{F}(V1), P_equilibrium-{F}(V0,V2), greater_or_equal-{F}(V2,V2), P_first_movers-{F}(V3), P_efficient_producers-{F}(V4) | P_sk1-{T}(V0,V2)
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #2607: mergings( V3 == V7, V7 == V8, V8 == V9, V9 == V14, V4 == V12, V2 == V5, V5 == V10, V10 == V11, V6 == V13; #2596 ), references = 2, size of lhs = 9:
% 3.56/3.76 environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), P_equilibrium-{F}(V0,V1), P_sk1-{F}(V0,V1), in_environment-{F}(V0,V1), P_zero-{F}(V2), P_first_movers-{F}(V3), P_efficient_producers-{F}(V4) | FALSE
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #2617: mergings( V3 == V7, V7 == V8, V8 == V9, V9 == V14, V4 == V12, V2 == V5, V5 == V10, V10 == V11, V6 == V13; #2597 ), references = 1, size of lhs = 9:
% 3.56/3.76 environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), P_equilibrium-{F}(V0,V1), P_sk1-{F}(V0,V1), in_environment-{F}(V0,V1), P_zero-{F}(V2), P_first_movers-{F}(V3), P_efficient_producers-{F}(V4) | FALSE
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #2636: mergings( V3 == V5, V5 == V9, V2 == V6, V6 == V8, V4 == V7, V7 == V10; #2628 ), references = 1, size of lhs = 6:
% 3.56/3.76 environment-{F}(V0), stable-{F}(V0), P_sk3-{F}(V0), P_zero-{F}(V1), P_first_movers-{F}(V2), P_efficient_producers-{F}(V3) | FALSE
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #2655: mergings( V1 == V4, V4 == V8, V8 == V10, V10 == V14, V2 == V5, V5 == V7, V7 == V11, V11 == V13, V3 == V6, V6 == V9, V9 == V12, V12 == V15; #2641 ), references = 1, size of lhs = 3:
% 3.56/3.76 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2) | FALSE
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #2666: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V9, V2 == V4, V4 == V6, V6 == V8, V8 == V10; #2656 ), references = 1, size of lhs = 2:
% 3.56/3.76 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1) | FALSE
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #2673: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5; #2667 ), references = 1, size of lhs = 1:
% 3.56/3.76 P_first_movers-{F}(V0) | FALSE
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 #2676: exists( #22, #2667 ), references = 1, size of lhs = 0:
% 3.56/3.76 FALSE | FALSE
% 3.56/3.76 (used 0 times, uses = {})
% 3.56/3.76
% 3.56/3.76 number of learnt formulas = 76
% 3.56/3.76
% 3.56/3.76
% 3.56/3.76 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.56/3.76
% 3.56/3.76 randbase = 1
%------------------------------------------------------------------------------