TSTP Solution File: MGT026+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : MGT026+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:10:35 EDT 2022
% Result : Theorem 0.77s 1.01s
% Output : Refutation 0.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : MGT026+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 11:12:45 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.77/1.01 GeoParameters:
% 0.77/1.01
% 0.77/1.01 tptp_input = 1
% 0.77/1.01 tptp_output = 0
% 0.77/1.01 nonempty = 1
% 0.77/1.01 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.77/1.01 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.77/1.01
% 0.77/1.01
% 0.77/1.01 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.77/1.01 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.77/1.01
% 0.77/1.01 RuleSystem INPUT:
% 0.77/1.01
% 0.77/1.01 Initial Rules:
% 0.77/1.01 #0: input, references = 8, size of lhs = 5:
% 0.77/1.01 P_growth_rate-{F}(V1,V2,V3), P_growth_rate-{F}(V0,V2,V4), greater-{F}(V3,V4), environment-{F}(V5), subpopulations-{F}(V0,V1,V5,V2) | selection_favors-{T}(V1,V0,V2)
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #1: input, references = 6, size of lhs = 7:
% 0.77/1.01 P_zero-{F}(V0), P_cardinality_at_time-{F}(V1,V2,V0), P_cardinality_at_time-{F}(V4,V2,V5), greater-{F}(V5,V0), environment-{F}(V6), subpopulation-{F}(V4,V6,V2), subpopulation-{F}(V1,V6,V2) | selection_favors-{T}(V4,V1,V2)
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #2: input, references = 11, size of lhs = 9:
% 0.77/1.01 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), P_cardinality_at_time-{F}(V1,V3,V4), P_cardinality_at_time-{F}(V2,V3,V5), greater-{F}(V4,V0), greater-{F}(V5,V0), environment-{F}(V6), in_environment-{F}(V6,V3) | subpopulations-{T}(V1,V2,V6,V3)
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #3: input, references = 6, size of lhs = 6:
% 0.77/1.01 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), P_cardinality_at_time-{F}(V1,V3,V4), environment-{F}(V5), in_environment-{F}(V5,V3) | greater_or_equal-{T}(V4,V0)
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #4: input, references = 7, size of lhs = 5:
% 0.77/1.01 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), environment-{F}(V3), in_environment-{F}(V3,V4) | subpopulation-{T}(V1,V3,V4)
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #5: input, references = 5, size of lhs = 5:
% 0.77/1.01 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), environment-{F}(V3), in_environment-{F}(V3,V4) | subpopulation-{T}(V2,V3,V4)
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #6: input, references = 10, size of lhs = 6:
% 0.77/1.01 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), P_critical_point-{F}(V3,V4), P_appear-{F}(V2,V3,V5), environment-{F}(V3) | greater_or_equal-{T}(V4,V5)
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #7: input, references = 9, size of lhs = 5:
% 0.77/1.01 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), greater-{F}(V3,V4), greater-{F}(V5,V3) | greater-{T}(V5,V4)
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #8: input, references = 12, size of lhs = 4:
% 0.77/1.01 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), greater_or_equal-{F}(V3,V4) | pppp0-{T}(V3,V4)
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #9: input, references = 15, size of lhs = 4:
% 0.77/1.01 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), pppp0-{F}(V3,V4) | greater_or_equal-{T}(V3,V4)
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #10: input, references = 12, size of lhs = 5:
% 0.77/1.01 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), pppp0-{F}(V3,V4), V3 == V4 | greater-{T}(V3,V4)
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #11: input, references = 15, size of lhs = 4:
% 0.77/1.01 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), greater-{F}(V3,V4) | pppp0-{T}(V3,V4)
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #12: input, references = 3, size of lhs = 4:
% 0.77/1.01 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), #-{F} V4 | pppp0-{T}(V4,V4)
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #13: input, references = 6, size of lhs = 8:
% 0.77/1.01 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), P_critical_point-{F}(V3,V4), environment-{F}(V3), P_growth_rate-{F}(V2,V4,V6), P_growth_rate-{F}(V1,V4,V7), greater-{F}(V6,V7) | FALSE
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #14: input, references = 7, size of lhs = 11:
% 0.77/1.01 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), P_critical_point-{F}(V3,V4), environment-{F}(V3), P_growth_rate-{F}(V2,V4,V6), P_growth_rate-{F}(V1,V4,V7), P_growth_rate-{F}(V2,V8,V9), P_growth_rate-{F}(V1,V8,V10), subpopulations-{F}(V1,V2,V3,V8), greater-{F}(V8,V4) | greater-{T}(V9,V10)
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #15: input, references = 15, size of lhs = 8:
% 0.77/1.01 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), P_cardinality_at_time-{F}(V2,V3,V4), P_appear-{F}(V2,V5,V6), environment-{F}(V5), in_environment-{F}(V5,V3), greater_or_equal-{F}(V3,V6) | greater-{T}(V4,V0)
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #16: input, references = 5, size of lhs = 3:
% 0.77/1.01 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2) | EXISTS V3: pppp2-{T}(V3,V1,V2)
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #17: input, references = 8, size of lhs = 1:
% 0.77/1.01 pppp2-{F}(V0,V1,V2) | EXISTS V3: pppp1-{T}(V3,V0)
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #18: input, references = 11, size of lhs = 2:
% 0.77/1.01 pppp2-{F}(V0,V1,V2), selection_favors-{F}(V2,V1,V0) | FALSE
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #19: input, references = 10, size of lhs = 2:
% 0.77/1.01 pppp1-{F}(V0,V1), P_critical_point-{F}(V0,V2) | greater-{T}(V1,V2)
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #20: input, references = 10, size of lhs = 2:
% 0.77/1.01 pppp1-{F}(V0,V1), P_critical_point-{F}(V0,V2) | in_environment-{T}(V0,V1)
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #21: input, references = 10, size of lhs = 2:
% 0.77/1.01 pppp1-{F}(V0,V1), P_critical_point-{F}(V0,V2) | environment-{T}(V0)
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #22: input, references = 11, size of lhs = 2:
% 0.77/1.01 #-{F} V0, #-{F} V1 | EXISTS V2: P_growth_rate-{T}(V0,V1,V2)
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #23: input, references = 10, size of lhs = 2:
% 0.77/1.01 #-{F} V0, #-{F} V1 | EXISTS V2: P_cardinality_at_time-{T}(V0,V1,V2)
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #24: input, references = 4, size of lhs = 0:
% 0.77/1.01 FALSE | EXISTS V0: P_zero-{T}(V0)
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #25: input, references = 4, size of lhs = 0:
% 0.77/1.01 FALSE | EXISTS V0: P_first_movers-{T}(V0)
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #26: input, references = 4, size of lhs = 0:
% 0.77/1.01 FALSE | EXISTS V0: P_efficient_producers-{T}(V0)
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #27: input, references = 8, size of lhs = 1:
% 0.77/1.01 #-{F} V0 | EXISTS V1: P_critical_point-{T}(V0,V1)
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #28: input, references = 9, size of lhs = 2:
% 0.77/1.01 #-{F} V0, #-{F} V1 | EXISTS V2: P_appear-{T}(V0,V1,V2)
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 number of initial rules = 29
% 0.77/1.01
% 0.77/1.01 Simplifiers:
% 0.77/1.01 #29: unsound, references = 3, size of lhs = 3:
% 0.77/1.01 subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #30: unsound, references = 3, size of lhs = 3:
% 0.77/1.01 subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #31: unsound, references = 3, size of lhs = 3:
% 0.77/1.01 subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V4,V5,V6,V3), V2 == V6 | FALSE
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #32: unsound, references = 3, size of lhs = 3:
% 0.77/1.01 subpopulation-{F}(V0,V1,V2), subpopulation-{F}(V3,V4,V2), V1 == V4 | FALSE
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #33: unsound, references = 3, size of lhs = 3:
% 0.77/1.01 in_environment-{F}(V0,V1), in_environment-{F}(V2,V1), V0 == V2 | FALSE
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #34: unsound, references = 3, size of lhs = 3:
% 0.77/1.01 P_growth_rate-{F}(V0,V1,V2), P_growth_rate-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #35: unsound, references = 3, size of lhs = 3:
% 0.77/1.01 P_cardinality_at_time-{F}(V0,V1,V2), P_cardinality_at_time-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #36: unsound, references = 3, size of lhs = 3:
% 0.77/1.01 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #37: unsound, references = 3, size of lhs = 3:
% 0.77/1.01 P_first_movers-{F}(V0), P_first_movers-{F}(V1), V0 == V1 | FALSE
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #38: unsound, references = 3, size of lhs = 3:
% 0.77/1.01 P_efficient_producers-{F}(V0), P_efficient_producers-{F}(V1), V0 == V1 | FALSE
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #39: unsound, references = 3, size of lhs = 3:
% 0.77/1.01 P_critical_point-{F}(V0,V1), P_critical_point-{F}(V0,V3), V1 == V3 | FALSE
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #40: unsound, references = 3, size of lhs = 3:
% 0.77/1.01 P_appear-{F}(V0,V1,V2), P_appear-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #41: unsound, references = 3, size of lhs = 3:
% 0.77/1.01 pppp1-{F}(V0,V1), pppp1-{F}(V2,V1), V0 == V2 | FALSE
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #42: unsound, references = 3, size of lhs = 3:
% 0.77/1.01 pppp2-{F}(V0,V1,V2), pppp2-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #43: unsound, references = 3, size of lhs = 3:
% 0.77/1.01 pppp2-{F}(V0,V1,V2), pppp2-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #44: unsound, references = 3, size of lhs = 3:
% 0.77/1.01 pppp2-{F}(V0,V1,V2), pppp2-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 number of simplifiers = 16
% 0.77/1.01
% 0.77/1.01 Learnt:
% 0.77/1.01 #68: mergings( V0 == V9, V9 == V11, V6 == V7; #64 ), references = 3, size of lhs = 12:
% 0.77/1.01 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V1), environment-{F}(V2), P_critical_point-{F}(V2,V3), subpopulations-{F}(V1,V1,V2,V4), greater-{F}(V4,V3), P_growth_rate-{F}(V1,V4,V5), environment-{F}(V6), subpopulations-{F}(V1,V1,V6,V7), pppp2-{F}(V7,V1,V1), P_growth_rate-{F}(V1,V7,V5) | FALSE
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #87: mergings( V16 == V17, V4 == V7, V7 == V10, V10 == V11, V2 == V5, V5 == V8, V8 == V12, V3 == V6, V6 == V9, V9 == V12; #76 ), references = 1, size of lhs = 9:
% 0.77/1.01 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V1), pppp2-{F}(V2,V1,V1), pppp1-{F}(V3,V2), pppp1-{F}(V3,V4), P_cardinality_at_time-{F}(V1,V2,V5), V5 == V0, P_growth_rate-{F}(V1,V2,V6) | FALSE
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #101: mergings( V16 == V17, V6 == V9, V9 == V12, V12 == V13, V4 == V7, V7 == V10, V10 == V14, V5 == V8, V8 == V11, V11 == V14, V14 == V1, V1 == V2; #88 ), references = 3, size of lhs = 7:
% 0.77/1.01 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V1), pppp2-{F}(V2,V1,V1), P_cardinality_at_time-{F}(V1,V2,V3), V3 == V0, P_growth_rate-{F}(V1,V2,V4) | FALSE
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #105: exists( #23, #101 ), references = 1, size of lhs = 5:
% 0.77/1.01 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V1), pppp2-{F}(V2,V1,V1), P_growth_rate-{F}(V1,V2,V3) | P_cardinality_at_time-{T}(V1,V2,V0)
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #114: mergings( V3 == V4, V4 == V8, V0 == V5, V5 == V9, V9 == V10; #108 ), references = 2, size of lhs = 11:
% 0.77/1.01 environment-{F}(V0), in_environment-{F}(V0,V1), greater_or_equal-{F}(V1,V2), P_zero-{F}(V3), P_first_movers-{F}(V4), P_appear-{F}(V4,V0,V2), pppp2-{F}(V1,V4,V4), P_efficient_producers-{F}(V4), environment-{F}(V5), P_critical_point-{F}(V5,V6), P_growth_rate-{F}(V4,V6,V3) | FALSE
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #146: mergings( V3 == V6, V6 == V9, V9 == V12, V12 == V15, V15 == V18, V18 == V22, V4 == V7, V7 == V10, V10 == V13, V13 == V16, V16 == V19, V19 == V0, V8 == V11, V11 == V14, V14 == V17, V17 == V20, V20 == V0; #128 ), references = 1, size of lhs = 11:
% 0.77/1.01 environment-{F}(V0), P_critical_point-{F}(V0,V1), in_environment-{F}(V0,V2), greater-{F}(V2,V1), P_zero-{F}(V3), P_first_movers-{F}(V4), pppp2-{F}(V2,V4,V4), P_efficient_producers-{F}(V4), environment-{F}(V5), P_critical_point-{F}(V5,V6), P_growth_rate-{F}(V4,V6,V3) | P_appear-{T}(V4,V0,V1)
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #188: mergings( V3 == V6, V6 == V9, V9 == V12, V12 == V15, V15 == V18, V18 == V24, V4 == V7, V7 == V10, V10 == V13, V13 == V16, V16 == V19, V19 == V21, V8 == V11, V11 == V14, V14 == V17, V17 == V20, V20 == V0; #169 ), references = 3, size of lhs = 14:
% 0.77/1.01 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), environment-{F}(V2), P_critical_point-{F}(V2,V3), in_environment-{F}(V2,V4), greater-{F}(V4,V3), P_cardinality_at_time-{F}(V1,V4,V5), P_zero-{F}(V6), environment-{F}(V7), subpopulation-{F}(V8,V7,V9), P_cardinality_at_time-{F}(V8,V9,V6), pppp2-{F}(V9,V8,V10), P_cardinality_at_time-{F}(V10,V9,V5), subpopulation-{F}(V10,V7,V9) | P_appear-{T}(V1,V2,V3)
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #210: mergings( V3 == V6, V6 == V9, V9 == V12, V12 == V15, V15 == V18, V18 == V24, V24 == V25, V4 == V7, V7 == V10, V10 == V13, V13 == V16, V16 == V19, V19 == V21, V21 == V26, V8 == V11, V11 == V14, V14 == V17, V17 == V20, V20 == V0, V0 == V26, V23 == V25; #170 ), references = 1, size of lhs = 15:
% 0.77/1.01 environment-{F}(V0), P_critical_point-{F}(V0,V1), in_environment-{F}(V0,V2), greater-{F}(V2,V1), P_zero-{F}(V3), P_first_movers-{F}(V4), P_cardinality_at_time-{F}(V4,V2,V3), P_efficient_producers-{F}(V4), environment-{F}(V5), in_environment-{F}(V5,V6), pppp2-{F}(V6,V4,V4), P_cardinality_at_time-{F}(V4,V6,V3), P_critical_point-{F}(V5,V7), greater-{F}(V6,V7), P_growth_rate-{F}(V4,V6,V8) | P_appear-{T}(V4,V0,V1)
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #261: mergings( V29 == V32, V32 == V35, V35 == V36, V2 == V5, V5 == V8, V8 == V11, V11 == V13, V13 == V16, V16 == V19, V19 == V22, V22 == V25, V25 == V36, V3 == V6, V6 == V9, V9 == V12, V12 == V14, V14 == V17, V17 == V20, V20 == V23, V23 == V26, V26 == V28, V28 == V30, V4 == V7, V7 == V10, V10 == V15, V15 == V18, V18 == V21, V21 == V24, V24 == V27, V27 == V31; #229 ), references = 1, size of lhs = 8:
% 0.77/1.01 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), pppp2-{F}(V3,V0,V0), P_cardinality_at_time-{F}(V1,V3,V2), P_cardinality_at_time-{F}(V0,V3,V2), pppp1-{F}(V4,V3), pppp1-{F}(V4,V5) | FALSE
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #295: mergings( V29 == V37, V37 == V38, V2 == V5, V5 == V8, V8 == V11, V11 == V13, V13 == V16, V16 == V19, V19 == V22, V22 == V25, V25 == V38, V38 == V32, V32 == V33, V3 == V6, V6 == V9, V9 == V12, V12 == V14, V14 == V17, V17 == V20, V20 == V23, V23 == V26, V26 == V28, V28 == V30, V30 == V34, V4 == V7, V7 == V10, V10 == V15, V15 == V18, V18 == V21, V21 == V24, V24 == V27, V27 == V31, V31 == V34; #230 ), references = 1, size of lhs = 8:
% 0.77/1.01 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V1), pppp2-{F}(V2,V1,V1), P_cardinality_at_time-{F}(V1,V2,V0), pppp1-{F}(V3,V2), pppp1-{F}(V3,V4), P_growth_rate-{F}(V1,V2,V5) | FALSE
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #327: mergings( V3 == V6, V6 == V8, V8 == V11, V11 == V13, V13 == V16, V16 == V19, V19 == V22, V22 == V25, V25 == V30, V4 == V0, V0 == V9, V9 == V12, V12 == V14, V14 == V17, V17 == V20, V20 == V23, V23 == V26, V26 == V28, V28 == V29, V5 == V29, V29 == V7, V7 == V10, V10 == V15, V15 == V18, V18 == V21, V21 == V24, V24 == V27; #298 ), references = 1, size of lhs = 6:
% 0.77/1.01 P_efficient_producers-{F}(V0), P_first_movers-{F}(V0), P_zero-{F}(V1), pppp2-{F}(V2,V0,V0), pppp1-{F}(V3,V2), pppp1-{F}(V3,V4) | FALSE
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #359: mergings( V4 == V7, V7 == V10, V10 == V13, V13 == V15, V15 == V18, V18 == V21, V21 == V24, V24 == V27, V27 == V32, V5 == V8, V8 == V11, V11 == V14, V14 == V16, V16 == V19, V19 == V22, V22 == V25, V25 == V28, V28 == V30, V30 == V31, V6 == V31, V31 == V9, V9 == V12, V12 == V17, V17 == V20, V20 == V23, V23 == V26, V26 == V29, V29 == V1, V1 == V2; #328 ), references = 1, size of lhs = 4:
% 0.77/1.01 P_efficient_producers-{F}(V0), P_first_movers-{F}(V0), P_zero-{F}(V1), pppp2-{F}(V2,V0,V0) | FALSE
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #390: mergings( V0 == V3, V3 == V6, V6 == V8, V8 == V11, V11 == V13, V13 == V16, V16 == V19, V19 == V22, V22 == V25, V25 == V30, V4 == V1, V1 == V9, V9 == V12, V12 == V14, V14 == V17, V17 == V20, V20 == V23, V23 == V26, V26 == V28, V28 == V29, V5 == V29, V29 == V7, V7 == V10, V10 == V15, V15 == V18, V18 == V21, V21 == V24, V24 == V27; #360 ), references = 1, size of lhs = 3:
% 0.77/1.01 P_efficient_producers-{F}(V0), P_first_movers-{F}(V0), P_zero-{F}(V1) | FALSE
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #436: mergings( V3 == V6, V6 == V9, V9 == V12, V12 == V15, V15 == V18, V18 == V21, V21 == V25, V4 == V7, V7 == V10, V10 == V13, V13 == V16, V16 == V19, V19 == V22, V22 == V26, V8 == V11, V11 == V14, V14 == V17, V17 == V20, V20 == V0, V0 == V27; #415 ), references = 1, size of lhs = 12:
% 0.77/1.01 environment-{F}(V0), P_critical_point-{F}(V0,V1), in_environment-{F}(V0,V2), greater-{F}(V2,V1), P_zero-{F}(V3), P_first_movers-{F}(V4), P_efficient_producers-{F}(V5), P_cardinality_at_time-{F}(V5,V2,V6), environment-{F}(V7), P_critical_point-{F}(V7,V8), P_growth_rate-{F}(V5,V8,V6), P_growth_rate-{F}(V4,V8,V3) | P_appear-{T}(V5,V0,V1)
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #486: mergings( V3 == V6, V6 == V9, V9 == V12, V12 == V15, V15 == V18, V18 == V24, V4 == V7, V7 == V10, V10 == V13, V13 == V16, V16 == V19, V19 == V21, V21 == V25, V8 == V11, V11 == V14, V14 == V17, V17 == V20, V20 == V0, V0 == V26; #466 ), references = 1, size of lhs = 17:
% 0.77/1.01 environment-{F}(V0), P_critical_point-{F}(V0,V1), in_environment-{F}(V0,V2), greater-{F}(V2,V1), P_zero-{F}(V3), P_first_movers-{F}(V4), P_efficient_producers-{F}(V5), P_cardinality_at_time-{F}(V5,V2,V6), environment-{F}(V7), in_environment-{F}(V7,V8), pppp2-{F}(V8,V4,V5), P_cardinality_at_time-{F}(V5,V8,V6), P_cardinality_at_time-{F}(V4,V8,V9), greater-{F}(V9,V3), P_growth_rate-{F}(V4,V8,V10), P_growth_rate-{F}(V5,V8,V11), greater-{F}(V11,V10) | P_appear-{T}(V5,V0,V1)
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #537: mergings( V44 == V45, V2 == V5, V5 == V10, V10 == V13, V13 == V16, V16 == V18, V18 == V21, V21 == V24, V24 == V27, V27 == V30, V30 == V36, V3 == V6, V6 == V8, V8 == V11, V11 == V14, V14 == V17, V17 == V19, V19 == V22, V22 == V25, V25 == V28, V28 == V31, V31 == V33, V33 == V34, V34 == V37, V37 == V39, V4 == V7, V7 == V9, V9 == V12, V12 == V15, V15 == V20, V20 == V23, V23 == V26, V26 == V29, V29 == V32, V32 == V35, V35 == V38, V38 == V40; #499 ), references = 1, size of lhs = 11:
% 0.77/1.01 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), pppp2-{F}(V3,V1,V2), P_growth_rate-{F}(V1,V3,V0), pppp1-{F}(V4,V3), pppp1-{F}(V4,V5), P_cardinality_at_time-{F}(V1,V3,V6), V6 == V0, P_growth_rate-{F}(V2,V3,V6), P_cardinality_at_time-{F}(V2,V3,V7) | FALSE
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #578: mergings( V44 == V45, V4 == V7, V7 == V12, V12 == V15, V15 == V18, V18 == V20, V20 == V23, V23 == V26, V26 == V29, V29 == V32, V32 == V38, V5 == V8, V8 == V10, V10 == V13, V13 == V16, V16 == V19, V19 == V21, V21 == V24, V24 == V27, V27 == V30, V30 == V33, V33 == V35, V35 == V36, V36 == V39, V39 == V41, V6 == V9, V9 == V11, V11 == V14, V14 == V17, V17 == V22, V22 == V25, V25 == V28, V28 == V31, V31 == V34, V34 == V37, V37 == V40, V40 == V42, V41 == V1, V42 == V2; #538 ), references = 1, size of lhs = 9:
% 0.77/1.01 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), P_growth_rate-{F}(V1,V3,V0), pppp2-{F}(V3,V1,V2), P_cardinality_at_time-{F}(V1,V3,V4), V4 == V0, P_growth_rate-{F}(V2,V3,V4), P_cardinality_at_time-{F}(V2,V3,V5) | FALSE
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #604: mergings( V3 == V8, V8 == V9, V9 == V20, V4 == V6, V6 == V10, V10 == V21, V0 == V11, V11 == V22; #595 ), references = 1, size of lhs = 22:
% 0.77/1.01 environment-{F}(V0), P_critical_point-{F}(V0,V1), in_environment-{F}(V0,V1), environment-{F}(V2), in_environment-{F}(V2,V3), P_critical_point-{F}(V2,V4), greater-{F}(V3,V4), P_zero-{F}(V5), P_first_movers-{F}(V6), P_cardinality_at_time-{F}(V6,V3,V7), greater-{F}(V7,V5), P_growth_rate-{F}(V6,V4,V8), P_growth_rate-{F}(V6,V3,V9), P_efficient_producers-{F}(V10), P_cardinality_at_time-{F}(V10,V1,V11), P_cardinality_at_time-{F}(V10,V3,V11), P_growth_rate-{F}(V10,V4,V12), P_growth_rate-{F}(V10,V3,V13), environment-{F}(V14), P_critical_point-{F}(V14,V15), P_growth_rate-{F}(V10,V15,V13), P_growth_rate-{F}(V6,V15,V9) | FALSE
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #642: mergings( V3 == V6, V6 == V9, V9 == V12, V12 == V15, V15 == V18, V18 == V24, V24 == V25, V4 == V7, V7 == V10, V10 == V13, V13 == V16, V16 == V19, V19 == V21, V21 == V26, V8 == V11, V11 == V14, V14 == V17, V17 == V20, V20 == V0, V0 == V27; #621 ), references = 1, size of lhs = 20:
% 0.77/1.01 environment-{F}(V0), P_critical_point-{F}(V0,V1), in_environment-{F}(V0,V2), greater-{F}(V2,V1), P_zero-{F}(V3), P_first_movers-{F}(V4), P_efficient_producers-{F}(V5), P_cardinality_at_time-{F}(V5,V2,V6), environment-{F}(V7), in_environment-{F}(V7,V8), pppp2-{F}(V8,V4,V5), P_cardinality_at_time-{F}(V5,V8,V6), P_cardinality_at_time-{F}(V4,V8,V9), greater-{F}(V9,V3), P_critical_point-{F}(V7,V10), greater-{F}(V8,V10), P_growth_rate-{F}(V5,V10,V11), P_growth_rate-{F}(V4,V10,V12), P_growth_rate-{F}(V4,V8,V13), P_growth_rate-{F}(V5,V8,V14) | P_appear-{T}(V5,V0,V1)
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #680: mergings( V3 == V5, V5 == V8, V8 == V11, V11 == V14, V14 == V17, V17 == V21, V21 == V22, V22 == V38, V38 == V39, V4 == V6, V6 == V9, V9 == V12, V12 == V15, V15 == V18, V18 == V20, V20 == V23, V23 == V31, V31 == V40, V28 == V44, V7 == V10, V10 == V13, V13 == V16, V16 == V19, V19 == V0, V0 == V32, V25 == V42, V24 == V41, V29 == V45, V30 == V46, V26 == V37, V27 == V43; #648 ), references = 1, size of lhs = 22:
% 0.77/1.01 P_efficient_producers-{F}(V0), environment-{F}(V1), P_critical_point-{F}(V1,V2), in_environment-{F}(V1,V3), greater-{F}(V3,V2), P_cardinality_at_time-{F}(V0,V3,V4), in_environment-{F}(V1,V5), greater_or_equal-{F}(V5,V2), P_cardinality_at_time-{F}(V0,V5,V4), P_zero-{F}(V6), P_first_movers-{F}(V7), environment-{F}(V8), P_critical_point-{F}(V8,V9), in_environment-{F}(V8,V10), pppp2-{F}(V10,V7,V0), P_cardinality_at_time-{F}(V0,V10,V4), greater-{F}(V10,V9), P_cardinality_at_time-{F}(V7,V10,V11), greater-{F}(V11,V6), P_growth_rate-{F}(V7,V9,V12), P_growth_rate-{F}(V7,V10,V13), P_growth_rate-{F}(V0,V10,V14) | FALSE
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #711: mergings( V3 == V5, V5 == V8, V8 == V11, V11 == V14, V14 == V17, V17 == V21, V21 == V22, V22 == V37, V37 == V38, V4 == V6, V6 == V9, V9 == V12, V12 == V15, V15 == V18, V18 == V20, V20 == V30, V30 == V0, V7 == V10, V10 == V13, V13 == V16, V16 == V19, V19 == V25, V25 == V31, V24 == V40, V23 == V39, V29 == V43, V28 == V42, V26 == V36, V27 == V41; #681 ), references = 2, size of lhs = 21:
% 0.77/1.01 P_efficient_producers-{F}(V0), environment-{F}(V1), P_critical_point-{F}(V1,V2), in_environment-{F}(V1,V3), greater-{F}(V3,V2), P_cardinality_at_time-{F}(V0,V3,V4), in_environment-{F}(V1,V5), greater_or_equal-{F}(V5,V2), P_cardinality_at_time-{F}(V0,V5,V4), P_zero-{F}(V6), P_first_movers-{F}(V7), environment-{F}(V8), P_critical_point-{F}(V8,V9), in_environment-{F}(V8,V10), pppp2-{F}(V10,V7,V0), P_cardinality_at_time-{F}(V0,V10,V4), greater-{F}(V10,V9), P_cardinality_at_time-{F}(V7,V10,V11), greater-{F}(V11,V6), P_growth_rate-{F}(V7,V10,V12), P_growth_rate-{F}(V0,V10,V13) | FALSE
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #760: mergings( V45 == V49, V47 == V48, V44 == V46, V2 == V5, V5 == V10, V10 == V13, V13 == V16, V16 == V18, V18 == V21, V21 == V24, V24 == V27, V27 == V30, V30 == V34, V34 == V38, V38 == V39, V3 == V6, V6 == V8, V8 == V11, V11 == V14, V14 == V17, V17 == V19, V19 == V22, V22 == V25, V25 == V28, V28 == V31, V31 == V33, V33 == V36, V36 == V40, V4 == V7, V7 == V9, V9 == V12, V12 == V15, V15 == V20, V20 == V23, V23 == V26, V26 == V29, V29 == V32, V32 == V35, V35 == V37; #720 ), references = 2, size of lhs = 11:
% 0.77/1.01 P_efficient_producers-{F}(V0), P_zero-{F}(V1), P_first_movers-{F}(V2), pppp2-{F}(V3,V2,V0), pppp1-{F}(V4,V3), pppp1-{F}(V4,V5), P_cardinality_at_time-{F}(V2,V3,V6), V6 == V1, P_cardinality_at_time-{F}(V0,V3,V7), P_growth_rate-{F}(V2,V3,V8), P_growth_rate-{F}(V0,V3,V9) | FALSE
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #803: mergings( V45 == V49, V47 == V48, V44 == V46, V4 == V7, V7 == V12, V12 == V15, V15 == V18, V18 == V20, V20 == V23, V23 == V26, V26 == V29, V29 == V32, V32 == V36, V36 == V40, V40 == V41, V5 == V8, V8 == V10, V10 == V13, V13 == V16, V16 == V19, V19 == V21, V21 == V24, V24 == V27, V27 == V30, V30 == V33, V33 == V35, V35 == V38, V38 == V42, V6 == V9, V9 == V11, V11 == V14, V14 == V17, V17 == V22, V22 == V25, V25 == V28, V28 == V31, V31 == V34, V34 == V37, V37 == V39, V42 == V1, V39 == V2; #761 ), references = 2, size of lhs = 9:
% 0.77/1.01 P_efficient_producers-{F}(V0), P_zero-{F}(V1), P_first_movers-{F}(V2), pppp2-{F}(V3,V2,V0), P_cardinality_at_time-{F}(V2,V3,V4), V4 == V1, P_cardinality_at_time-{F}(V0,V3,V5), P_growth_rate-{F}(V2,V3,V6), P_growth_rate-{F}(V0,V3,V7) | FALSE
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #807: exists( #23, #803 ), references = 1, size of lhs = 8:
% 0.77/1.01 P_efficient_producers-{F}(V0), P_zero-{F}(V1), P_first_movers-{F}(V2), pppp2-{F}(V3,V2,V0), P_cardinality_at_time-{F}(V2,V3,V4), V4 == V1, P_growth_rate-{F}(V2,V3,V5), P_growth_rate-{F}(V0,V3,V6) | FALSE
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #808: exists( #23, #760 ), references = 1, size of lhs = 10:
% 0.77/1.01 P_efficient_producers-{F}(V0), P_zero-{F}(V1), P_first_movers-{F}(V2), pppp2-{F}(V3,V2,V0), pppp1-{F}(V4,V3), pppp1-{F}(V4,V5), P_cardinality_at_time-{F}(V2,V3,V6), V6 == V1, P_growth_rate-{F}(V2,V3,V7), P_growth_rate-{F}(V0,V3,V8) | FALSE
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #811: mergings( V3 == V7, V4 == V8; #806 ), references = 1, size of lhs = 13:
% 0.77/1.01 P_efficient_producers-{F}(V0), P_zero-{F}(V1), P_first_movers-{F}(V2), environment-{F}(V3), in_environment-{F}(V3,V4), pppp2-{F}(V4,V2,V0), greater_or_equal-{F}(V4,V5), P_critical_point-{F}(V3,V5), greater-{F}(V4,V5), P_cardinality_at_time-{F}(V2,V4,V6), greater-{F}(V6,V1), P_growth_rate-{F}(V2,V4,V7), P_growth_rate-{F}(V0,V4,V8) | FALSE
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #815: exists( #22, #804 ), references = 2, size of lhs = 7:
% 0.77/1.01 P_efficient_producers-{F}(V0), P_zero-{F}(V1), P_first_movers-{F}(V2), pppp2-{F}(V3,V2,V0), P_cardinality_at_time-{F}(V2,V3,V4), V4 == V1, P_growth_rate-{F}(V2,V3,V5) | FALSE
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #819: mergings( V3 == V7, V4 == V8, V9 == V5; #814 ), references = 1, size of lhs = 12:
% 0.77/1.01 P_efficient_producers-{F}(V0), P_zero-{F}(V1), greater-{F}(V1,V1), P_first_movers-{F}(V2), environment-{F}(V3), in_environment-{F}(V3,V4), pppp2-{F}(V4,V2,V0), P_cardinality_at_time-{F}(V2,V4,V1), greater_or_equal-{F}(V4,V5), P_critical_point-{F}(V3,V5), greater-{F}(V4,V5), P_growth_rate-{F}(V2,V4,V6) | FALSE
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #826: exists( #23, #812 ), references = 1, size of lhs = 5:
% 0.77/1.01 P_efficient_producers-{F}(V0), P_zero-{F}(V1), P_first_movers-{F}(V2), pppp2-{F}(V3,V2,V0), P_growth_rate-{F}(V2,V3,V4) | P_cardinality_at_time-{T}(V2,V3,V1)
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #830: exists( #23, #828 ), references = 2, size of lhs = 12:
% 0.77/1.01 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), environment-{F}(V2), P_appear-{F}(V1,V2,V3), in_environment-{F}(V2,V4), greater_or_equal-{F}(V4,V3), P_zero-{F}(V5), environment-{F}(V6), subpopulation-{F}(V1,V6,V4), subpopulation-{F}(V7,V6,V4), P_cardinality_at_time-{F}(V7,V4,V5), pppp2-{F}(V4,V7,V1) | FALSE
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #835: mergings( V0 == V4, V3 == V5; #832 ), references = 2, size of lhs = 11:
% 0.77/1.01 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), environment-{F}(V2), P_appear-{F}(V1,V2,V3), in_environment-{F}(V2,V4), greater_or_equal-{F}(V4,V3), pppp2-{F}(V4,V0,V1), P_zero-{F}(V5), environment-{F}(V6), subpopulation-{F}(V1,V6,V4), subpopulation-{F}(V0,V6,V4) | FALSE
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #890: mergings( V2 == V5, V5 == V7, V7 == V9, V9 == V13, V13 == V16, V3 == V8, V8 == V10, V10 == V12, V12 == V14, V4 == V6, V6 == V11, V11 == V15; #876 ), references = 1, size of lhs = 8:
% 0.77/1.01 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), P_cardinality_at_time-{F}(V0,V3,V2), pppp2-{F}(V3,V0,V1), pppp1-{F}(V4,V3), pppp1-{F}(V4,V5), P_cardinality_at_time-{F}(V1,V3,V6) | FALSE
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #904: mergings( V14 == V17, V2 == V5, V5 == V8, V8 == V10, V10 == V17, V3 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V15, V4 == V7, V7 == V12, V12 == V16; #877 ), references = 1, size of lhs = 8:
% 0.77/1.01 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), pppp2-{F}(V3,V0,V1), P_cardinality_at_time-{F}(V0,V3,V2), pppp1-{F}(V4,V3), pppp1-{F}(V4,V5), P_cardinality_at_time-{F}(V1,V3,V6) | FALSE
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #919: mergings( V3 == V6, V6 == V8, V8 == V10, V10 == V14, V14 == V16, V4 == V9, V9 == V11, V11 == V13, V13 == V15, V5 == V7, V7 == V12, V12 == V0; #905 ), references = 1, size of lhs = 7:
% 0.77/1.01 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), P_cardinality_at_time-{F}(V0,V3,V2), pppp2-{F}(V3,V0,V1), pppp1-{F}(V4,V3), pppp1-{F}(V4,V5) | FALSE
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #937: mergings( V4 == V7, V7 == V9, V9 == V11, V11 == V15, V15 == V17, V5 == V10, V10 == V12, V12 == V14, V14 == V0, V3 == V6, V6 == V8, V8 == V13, V13 == V16; #922 ), references = 1, size of lhs = 6:
% 0.77/1.01 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), pppp2-{F}(V3,V0,V1), pppp1-{F}(V4,V3), pppp1-{F}(V4,V5) | FALSE
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #955: mergings( V5 == V8, V8 == V10, V10 == V12, V12 == V16, V16 == V19, V6 == V11, V11 == V13, V13 == V15, V15 == V17, V4 == V7, V7 == V9, V9 == V14, V14 == V18, V17 == V1, V18 == V2; #938 ), references = 1, size of lhs = 4:
% 0.77/1.01 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), pppp2-{F}(V3,V0,V1) | FALSE
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #971: mergings( V0 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V15, V15 == V16, V5 == V10, V10 == V12, V12 == V14, V14 == V1, V6 == V8, V8 == V13, V13 == V2; #956 ), references = 1, size of lhs = 3:
% 0.77/1.01 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2) | FALSE
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #984: mergings( V1 == V2, V2 == V4, V4 == V5, V5 == V7, V7 == V10, V10 == V12, V3 == V6, V6 == V8, V8 == V9, V9 == V11; #972 ), references = 1, size of lhs = 2:
% 0.77/1.01 P_first_movers-{F}(V0), P_zero-{F}(V1) | FALSE
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #992: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6; #986 ), references = 1, size of lhs = 1:
% 0.77/1.01 P_zero-{F}(V0) | FALSE
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 #995: exists( #24, #986 ), references = 1, size of lhs = 0:
% 0.77/1.01 FALSE | FALSE
% 0.77/1.01 (used 0 times, uses = {})
% 0.77/1.01
% 0.77/1.01 number of learnt formulas = 40
% 0.77/1.01
% 0.77/1.01
% 0.77/1.01 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.77/1.01
% 0.77/1.01 randbase = 1
%------------------------------------------------------------------------------