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 v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n015.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 : Unsatisfiable 0.54s 0.75s
% Output : Refutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : MGT026-1 : TPTP v8.1.0. Released v2.4.0.
% 0.00/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n015.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 11:25:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.54/0.75 GeoParameters:
% 0.54/0.75
% 0.54/0.75 tptp_input = 1
% 0.54/0.75 tptp_output = 0
% 0.54/0.75 nonempty = 1
% 0.54/0.75 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.54/0.75 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.54/0.75
% 0.54/0.75
% 0.54/0.75 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.54/0.75 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.54/0.75
% 0.54/0.75 RuleSystem INPUT:
% 0.54/0.75
% 0.54/0.75 Initial Rules:
% 0.54/0.75 #0: input, references = 7, size of lhs = 5:
% 0.54/0.75 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)
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #1: input, references = 5, size of lhs = 7:
% 0.54/0.75 P_zero-{F}(V0), P_cardinality_at_time-{F}(V2,V1,V0), P_cardinality_at_time-{F}(V4,V1,V5), greater-{F}(V5,V0), environment-{F}(V6), subpopulation-{F}(V4,V6,V1), subpopulation-{F}(V2,V6,V1) | selection_favors-{T}(V4,V2,V1)
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #2: input, references = 8, size of lhs = 9:
% 0.54/0.75 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)
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #3: input, references = 4, size of lhs = 6:
% 0.54/0.75 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)
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #4: input, references = 4, size of lhs = 5:
% 0.54/0.75 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)
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #5: input, references = 4, size of lhs = 5:
% 0.54/0.75 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)
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #6: input, references = 12, size of lhs = 6:
% 0.54/0.75 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)
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #7: input, references = 11, size of lhs = 5:
% 0.54/0.75 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)
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #8: input, references = 12, size of lhs = 5:
% 0.54/0.75 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), greater_or_equal-{F}(V3,V4), V3 == V4 | greater-{T}(V3,V4)
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #9: input, references = 14, size of lhs = 4:
% 0.54/0.75 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), greater-{F}(V3,V4) | greater_or_equal-{T}(V3,V4)
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #10: input, references = 3, size of lhs = 4:
% 0.54/0.75 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), #-{F} V4 | greater_or_equal-{T}(V4,V4)
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #11: input, references = 5, size of lhs = 8:
% 0.54/0.75 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), P_growth_rate-{F}(V2,V7,V4), P_growth_rate-{F}(V1,V7,V5), greater-{F}(V4,V5), P_critical_point-{F}(V6,V7), environment-{F}(V6) | FALSE
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #12: input, references = 7, size of lhs = 9:
% 0.54/0.75 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), P_growth_rate-{F}(V2,V3,V4), P_growth_rate-{F}(V1,V3,V5), P_critical_point-{F}(V6,V7), environment-{F}(V6), subpopulations-{F}(V1,V2,V6,V3), greater-{F}(V3,V7) | greater-{T}(V4,V5)
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #13: input, references = 14, size of lhs = 8:
% 0.54/0.75 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)
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #14: input, references = 5, size of lhs = 4:
% 0.54/0.75 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), P_sk1-{F}(V3) | environment-{T}(V3)
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #15: input, references = 5, size of lhs = 5:
% 0.54/0.75 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), P_sk1-{F}(V3), P_sk2-{F}(V4) | in_environment-{T}(V3,V4)
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #16: input, references = 6, size of lhs = 6:
% 0.54/0.75 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), P_sk1-{F}(V3), P_sk2-{F}(V4), P_critical_point-{F}(V3,V5) | greater-{T}(V4,V5)
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #17: input, references = 9, size of lhs = 7:
% 0.54/0.75 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), P_sk1-{F}(V3), P_sk2-{F}(V4), P_critical_point-{F}(V3,V5), selection_favors-{F}(V2,V1,V4) | FALSE
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #18: input, references = 7, size of lhs = 2:
% 0.54/0.75 #-{F} V0, #-{F} V1 | EXISTS V2: P_growth_rate-{T}(V0,V1,V2)
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #19: input, references = 8, size of lhs = 2:
% 0.54/0.75 #-{F} V0, #-{F} V1 | EXISTS V2: P_cardinality_at_time-{T}(V0,V1,V2)
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #20: input, references = 4, size of lhs = 0:
% 0.54/0.75 FALSE | EXISTS V0: P_zero-{T}(V0)
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #21: input, references = 4, size of lhs = 0:
% 0.54/0.75 FALSE | EXISTS V0: P_first_movers-{T}(V0)
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #22: input, references = 4, size of lhs = 0:
% 0.54/0.75 FALSE | EXISTS V0: P_efficient_producers-{T}(V0)
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #23: input, references = 6, size of lhs = 1:
% 0.54/0.75 #-{F} V0 | EXISTS V1: P_critical_point-{T}(V0,V1)
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #24: input, references = 10, size of lhs = 2:
% 0.54/0.75 #-{F} V0, #-{F} V1 | EXISTS V2: P_appear-{T}(V0,V1,V2)
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #25: input, references = 5, size of lhs = 0:
% 0.54/0.75 FALSE | EXISTS V0: P_sk1-{T}(V0)
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #26: input, references = 5, size of lhs = 0:
% 0.54/0.75 FALSE | EXISTS V0: P_sk2-{T}(V0)
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 number of initial rules = 27
% 0.54/0.75
% 0.54/0.75 Simplifiers:
% 0.54/0.75 #27: unsound, references = 3, size of lhs = 3:
% 0.54/0.75 environment-{F}(V0), environment-{F}(V1), V0 == V1 | FALSE
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #28: unsound, references = 3, size of lhs = 3:
% 0.54/0.75 subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #29: unsound, references = 3, size of lhs = 3:
% 0.54/0.75 subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #30: unsound, references = 3, size of lhs = 3:
% 0.54/0.75 subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #31: unsound, references = 3, size of lhs = 3:
% 0.54/0.75 subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #32: unsound, references = 3, size of lhs = 3:
% 0.54/0.75 selection_favors-{F}(V0,V1,V2), selection_favors-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #33: unsound, references = 3, size of lhs = 3:
% 0.54/0.75 subpopulation-{F}(V0,V1,V2), subpopulation-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #34: unsound, references = 3, size of lhs = 3:
% 0.54/0.75 subpopulation-{F}(V0,V1,V2), subpopulation-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #35: unsound, references = 3, size of lhs = 3:
% 0.54/0.75 in_environment-{F}(V0,V1), in_environment-{F}(V2,V3), V0 == V2 | FALSE
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #36: unsound, references = 3, size of lhs = 3:
% 0.54/0.75 in_environment-{F}(V0,V1), in_environment-{F}(V2,V3), V1 == V3 | FALSE
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #37: unsound, references = 3, size of lhs = 3:
% 0.54/0.75 P_growth_rate-{F}(V0,V1,V2), P_growth_rate-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #38: unsound, references = 3, size of lhs = 3:
% 0.54/0.75 P_cardinality_at_time-{F}(V0,V1,V2), P_cardinality_at_time-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #39: unsound, references = 3, size of lhs = 3:
% 0.54/0.75 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #40: unsound, references = 3, size of lhs = 3:
% 0.54/0.75 P_first_movers-{F}(V0), P_first_movers-{F}(V1), V0 == V1 | FALSE
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #41: unsound, references = 3, size of lhs = 3:
% 0.54/0.75 P_efficient_producers-{F}(V0), P_efficient_producers-{F}(V1), V0 == V1 | FALSE
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #42: unsound, references = 3, size of lhs = 3:
% 0.54/0.75 P_critical_point-{F}(V0,V1), P_critical_point-{F}(V0,V3), V1 == V3 | FALSE
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #43: unsound, references = 3, size of lhs = 3:
% 0.54/0.75 P_appear-{F}(V0,V1,V2), P_appear-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #44: unsound, references = 3, size of lhs = 3:
% 0.54/0.75 P_sk1-{F}(V0), P_sk1-{F}(V1), V0 == V1 | FALSE
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #45: unsound, references = 3, size of lhs = 3:
% 0.54/0.75 P_sk2-{F}(V0), P_sk2-{F}(V1), V0 == V1 | FALSE
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 number of simplifiers = 19
% 0.54/0.75
% 0.54/0.75 Learnt:
% 0.54/0.75 #60: mergings( V4 == V8, V8 == V15, V10 == V11, V6 == V7, V7 == V12, V3 == V0, V0 == V13, V13 == V14, V9 == V16; #50 ), references = 1, size of lhs = 11:
% 0.54/0.75 P_zero-{F}(V0), P_first_movers-{F}(V1), 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), greater-{F}(V4,V5), P_critical_point-{F}(V2,V5), P_growth_rate-{F}(V1,V4,V6), P_growth_rate-{F}(V1,V5,V6) | FALSE
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #68: mergings( V4 == V8, V8 == V11, V6 == V7, V7 == V10, V3 == V0, V9 == V1; #61 ), references = 2, size of lhs = 9:
% 0.54/0.75 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V1), environment-{F}(V2), in_environment-{F}(V2,V3), greater-{F}(V3,V3), P_critical_point-{F}(V2,V3), greater_or_equal-{F}(V3,V4), P_appear-{F}(V1,V2,V4) | FALSE
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #73: mergings( V3 == V6, V4 == V0; #70 ), references = 1, size of lhs = 7:
% 0.54/0.75 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V1), environment-{F}(V2), in_environment-{F}(V2,V3), greater-{F}(V3,V3), P_critical_point-{F}(V2,V3) | FALSE
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #87: mergings( V4 == V8, V11 == V12, V6 == V7, V7 == V10, V3 == V0; #81 ), references = 1, size of lhs = 13:
% 0.54/0.75 P_sk2-{F}(V0), greater_or_equal-{F}(V0,V1), environment-{F}(V2), in_environment-{F}(V2,V0), P_critical_point-{F}(V2,V3), greater-{F}(V0,V3), P_zero-{F}(V4), P_first_movers-{F}(V5), P_appear-{F}(V5,V2,V1), P_efficient_producers-{F}(V5), P_growth_rate-{F}(V5,V0,V6), P_sk1-{F}(V7), P_critical_point-{F}(V7,V8) | FALSE
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #93: mergings( V4 == V8, V6 == V7, V7 == V10, V3 == V0; #88 ), references = 3, size of lhs = 12:
% 0.54/0.75 P_sk2-{F}(V0), greater_or_equal-{F}(V0,V1), environment-{F}(V2), in_environment-{F}(V2,V0), P_critical_point-{F}(V2,V3), greater-{F}(V0,V3), P_zero-{F}(V4), P_first_movers-{F}(V5), P_appear-{F}(V5,V2,V1), P_efficient_producers-{F}(V5), P_sk1-{F}(V6), P_critical_point-{F}(V6,V7) | FALSE
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #111: mergings( V3 == V6, V6 == V9, V9 == V12, V12 == V17, V4 == V7, V7 == V10, V10 == V13, V13 == V0, V8 == V11, V11 == V14, V14 == V0, V5 == V16; #98 ), references = 1, size of lhs = 10:
% 0.54/0.75 P_sk2-{F}(V0), environment-{F}(V1), in_environment-{F}(V1,V0), P_critical_point-{F}(V1,V2), greater-{F}(V0,V2), P_zero-{F}(V3), P_first_movers-{F}(V4), P_efficient_producers-{F}(V4), P_sk1-{F}(V5), P_critical_point-{F}(V5,V6) | P_appear-{T}(V4,V1,V2)
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #134: mergings( V2 == V5, V5 == V8, V8 == V10, V10 == V13, V13 == V16, V16 == V19, V19 == V21, V3 == V6, V6 == V9, V9 == V11, V11 == V14, V14 == V17, V17 == V22, V4 == V7, V7 == V12, V12 == V15, V15 == V18, V18 == V22; #115 ), references = 1, size of lhs = 7:
% 0.54/0.75 P_sk2-{F}(V0), environment-{F}(V1), in_environment-{F}(V1,V0), P_sk1-{F}(V1), P_zero-{F}(V2), P_first_movers-{F}(V3), P_efficient_producers-{F}(V3) | FALSE
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #158: mergings( V1 == V4, V4 == V7, V7 == V10, V10 == V12, V12 == V15, V15 == V18, V18 == V21, V21 == V23, V2 == V5, V5 == V8, V8 == V11, V11 == V13, V13 == V16, V16 == V19, V19 == V24, V3 == V6, V6 == V9, V9 == V14, V14 == V17, V17 == V20, V20 == V24; #136 ), references = 1, size of lhs = 5:
% 0.54/0.75 environment-{F}(V0), P_sk1-{F}(V0), P_zero-{F}(V1), P_first_movers-{F}(V2), P_efficient_producers-{F}(V2) | FALSE
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #185: mergings( V1 == V4, V4 == V7, V7 == V10, V10 == V13, V13 == V15, V15 == V18, V18 == V21, V21 == V24, V24 == V25, V2 == V5, V5 == V8, V8 == V11, V11 == V14, V14 == V16, V16 == V19, V19 == V22, V22 == V26, V3 == V6, V6 == V9, V9 == V12, V12 == V17, V17 == V20, V20 == V23, V23 == V26; #160 ), references = 1, size of lhs = 3:
% 0.54/0.75 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V1) | FALSE
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #213: mergings( V1 == V19, V16 == V20, V3 == V6, V6 == V9, V9 == V12, V12 == V18, V18 == V21, V4 == V7, V7 == V10, V10 == V13, V13 == V15, V15 == V22, V8 == V11, V11 == V14, V14 == V0, V0 == V24; #196 ), references = 1, size of lhs = 15:
% 0.54/0.75 environment-{F}(V0), P_critical_point-{F}(V0,V1), in_environment-{F}(V0,V2), greater-{F}(V2,V1), P_sk2-{F}(V2), P_zero-{F}(V3), P_first_movers-{F}(V4), P_growth_rate-{F}(V4,V2,V3), P_cardinality_at_time-{F}(V4,V2,V5), greater-{F}(V5,V3), P_efficient_producers-{F}(V6), P_cardinality_at_time-{F}(V6,V2,V7), P_growth_rate-{F}(V6,V2,V7), P_sk1-{F}(V8), P_critical_point-{F}(V8,V9) | P_appear-{T}(V6,V0,V1)
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #260: mergings( V1 == V20, V16 == V21, V3 == V6, V6 == V9, V9 == V12, V12 == V18, V18 == V19, V19 == V23, V4 == V7, V7 == V10, V10 == V13, V13 == V15, V15 == V24, V8 == V11, V11 == V14, V14 == V0, V0 == V26, V5 == V22; #241 ), references = 1, size of lhs = 15:
% 0.54/0.75 environment-{F}(V0), in_environment-{F}(V0,V1), P_sk2-{F}(V1), P_critical_point-{F}(V0,V2), greater-{F}(V1,V2), P_zero-{F}(V3), P_first_movers-{F}(V4), P_cardinality_at_time-{F}(V4,V1,V5), greater-{F}(V5,V3), P_efficient_producers-{F}(V6), P_cardinality_at_time-{F}(V6,V1,V7), P_growth_rate-{F}(V6,V1,V8), P_growth_rate-{F}(V4,V1,V9), P_sk1-{F}(V10), P_critical_point-{F}(V10,V11) | P_appear-{T}(V6,V0,V2)
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #295: mergings( V17 == V27, V27 == V31, V22 == V36, V3 == V5, V5 == V8, V8 == V11, V11 == V15, V15 == V16, V16 == V19, V19 == V29, V29 == V30, V30 == V33, V4 == V6, V6 == V9, V9 == V12, V12 == V14, V14 == V20, V20 == V26, V26 == V34, V23 == V37, V21 == V35, V7 == V10, V10 == V13, V13 == V0, V18 == V28, V28 == V32, V24 == V38, V25 == V39; #266 ), references = 2, size of lhs = 15:
% 0.54/0.75 P_sk2-{F}(V0), greater_or_equal-{F}(V0,V1), greater-{F}(V0,V1), environment-{F}(V2), in_environment-{F}(V2,V0), P_critical_point-{F}(V2,V1), P_zero-{F}(V3), P_first_movers-{F}(V4), P_cardinality_at_time-{F}(V4,V0,V5), greater-{F}(V5,V3), P_efficient_producers-{F}(V6), P_growth_rate-{F}(V6,V0,V7), P_growth_rate-{F}(V4,V0,V8), P_sk1-{F}(V9), P_critical_point-{F}(V9,V10) | FALSE
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #324: mergings( V17 == V26, V26 == V30, V3 == V5, V5 == V8, V8 == V11, V11 == V15, V15 == V16, V16 == V19, V19 == V28, V28 == V29, V29 == V32, V4 == V6, V6 == V9, V9 == V12, V12 == V14, V14 == V20, V20 == V25, V25 == V33, V22 == V35, V21 == V34, V7 == V10, V10 == V13, V13 == V0, V18 == V27, V27 == V31, V23 == V36, V24 == V37; #296 ), references = 2, size of lhs = 14:
% 0.54/0.75 P_sk2-{F}(V0), greater_or_equal-{F}(V0,V1), greater-{F}(V0,V1), environment-{F}(V2), in_environment-{F}(V2,V0), P_critical_point-{F}(V2,V1), P_zero-{F}(V3), P_first_movers-{F}(V4), P_cardinality_at_time-{F}(V4,V0,V5), greater-{F}(V5,V3), P_efficient_producers-{F}(V6), P_growth_rate-{F}(V4,V0,V7), P_sk1-{F}(V8), P_critical_point-{F}(V8,V9) | FALSE
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #355: mergings( V2 == V5, V5 == V8, V8 == V10, V10 == V13, V13 == V16, V16 == V20, V20 == V21, V21 == V23, V23 == V28, V28 == V29, V29 == V30, V3 == V6, V6 == V9, V9 == V11, V11 == V14, V14 == V17, V17 == V19, V19 == V24, V24 == V27, V27 == V31, V26 == V34, V25 == V32, V4 == V7, V7 == V12, V12 == V15, V15 == V18, V18 == V33; #327 ), references = 2, size of lhs = 10:
% 0.54/0.75 P_sk2-{F}(V0), environment-{F}(V1), in_environment-{F}(V1,V0), P_sk1-{F}(V1), P_zero-{F}(V2), P_first_movers-{F}(V3), P_cardinality_at_time-{F}(V3,V0,V4), greater-{F}(V4,V2), P_efficient_producers-{F}(V5), P_growth_rate-{F}(V3,V0,V6) | FALSE
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #388: mergings( V4 == V32, V29 == V35, V5 == V8, V8 == V11, V11 == V14, V14 == V16, V16 == V19, V19 == V22, V22 == V26, V26 == V27, V27 == V28, V28 == V31, V31 == V33, V6 == V9, V9 == V12, V12 == V15, V15 == V17, V17 == V20, V20 == V23, V23 == V25, V25 == V30, V30 == V0, V3 == V7, V7 == V10, V10 == V13, V13 == V18, V18 == V21, V21 == V24, V24 == V34; #358 ), references = 1, size of lhs = 8:
% 0.54/0.75 P_sk2-{F}(V0), environment-{F}(V1), in_environment-{F}(V1,V0), P_sk1-{F}(V1), P_zero-{F}(V2), P_first_movers-{F}(V3), P_efficient_producers-{F}(V4), P_growth_rate-{F}(V3,V0,V5) | P_cardinality_at_time-{T}(V3,V0,V2)
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #425: mergings( V1 == V19, V16 == V18, V3 == V6, V6 == V9, V9 == V12, V12 == V20, V4 == V7, V7 == V10, V10 == V13, V13 == V15, V15 == V21, V8 == V11, V11 == V14, V14 == V0, V0 == V22; #407 ), references = 1, size of lhs = 12:
% 0.54/0.75 P_sk2-{F}(V0), greater-{F}(V0,V1), environment-{F}(V2), P_critical_point-{F}(V2,V1), in_environment-{F}(V2,V0), P_sk1-{F}(V2), P_zero-{F}(V3), P_first_movers-{F}(V4), P_cardinality_at_time-{F}(V4,V0,V5), P_efficient_producers-{F}(V6), P_cardinality_at_time-{F}(V6,V0,V5), P_growth_rate-{F}(V4,V0,V7) | P_appear-{T}(V6,V2,V1)
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #442: mergings( V1 == V20, V16 == V18, V3 == V6, V6 == V9, V9 == V12, V12 == V21, V4 == V7, V7 == V10, V10 == V13, V13 == V15, V15 == V22, V8 == V11, V11 == V14, V14 == V0, V0 == V23, V5 == V19; #408 ), references = 1, size of lhs = 14:
% 0.54/0.75 P_sk2-{F}(V0), greater_or_equal-{F}(V0,V1), greater-{F}(V0,V1), environment-{F}(V2), in_environment-{F}(V2,V0), P_critical_point-{F}(V2,V1), P_zero-{F}(V3), P_first_movers-{F}(V4), P_cardinality_at_time-{F}(V4,V0,V5), P_efficient_producers-{F}(V6), P_cardinality_at_time-{F}(V6,V0,V5), P_growth_rate-{F}(V4,V0,V7), P_sk1-{F}(V8), P_critical_point-{F}(V8,V9) | P_appear-{T}(V6,V2,V1)
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #459: mergings( V1 == V20, V16 == V18, V3 == V6, V6 == V9, V9 == V12, V12 == V21, V4 == V7, V7 == V10, V10 == V13, V13 == V15, V15 == V22, V8 == V11, V11 == V14, V14 == V0, V0 == V23, V5 == V19; #409 ), references = 1, size of lhs = 15:
% 0.54/0.75 P_sk2-{F}(V0), greater_or_equal-{F}(V0,V1), greater-{F}(V0,V1), environment-{F}(V2), in_environment-{F}(V2,V0), P_critical_point-{F}(V2,V1), P_zero-{F}(V3), P_first_movers-{F}(V4), P_cardinality_at_time-{F}(V4,V0,V5), P_efficient_producers-{F}(V6), P_cardinality_at_time-{F}(V6,V0,V5), P_growth_rate-{F}(V6,V0,V7), P_growth_rate-{F}(V4,V0,V8), P_sk1-{F}(V9), P_critical_point-{F}(V9,V10) | P_appear-{T}(V6,V2,V1)
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #492: mergings( V1 == V22, V3 == V6, V6 == V9, V9 == V12, V12 == V15, V15 == V19, V4 == V7, V7 == V10, V10 == V13, V13 == V16, V16 == V20, V8 == V11, V11 == V14, V14 == V0, V0 == V21, V5 == V23; #475 ), references = 1, size of lhs = 10:
% 0.54/0.75 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), environment-{F}(V3), in_environment-{F}(V3,V4), greater-{F}(V4,V5), P_critical_point-{F}(V3,V5), P_growth_rate-{F}(V1,V5,V0), P_cardinality_at_time-{F}(V2,V4,V6), P_growth_rate-{F}(V2,V5,V6) | P_appear-{T}(V2,V3,V5)
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #523: mergings( V1 == V19, V3 == V6, V6 == V9, V9 == V12, V12 == V18, V18 == V20, V4 == V7, V7 == V10, V10 == V13, V13 == V15, V15 == V21, V8 == V11, V11 == V14, V14 == V0, V0 == V23; #507 ), references = 1, size of lhs = 15:
% 0.54/0.75 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), subpopulation-{F}(V4,V0,V5), P_cardinality_at_time-{F}(V4,V5,V3), P_sk2-{F}(V5), P_efficient_producers-{F}(V6), subpopulation-{F}(V6,V0,V5), P_cardinality_at_time-{F}(V6,V2,V7), P_cardinality_at_time-{F}(V6,V5,V7), P_sk1-{F}(V8), P_critical_point-{F}(V8,V9) | P_appear-{T}(V6,V0,V1)
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #549: mergings( V16 == V22, V22 == V25, V3 == V5, V5 == V8, V8 == V11, V11 == V15, V15 == V17, V17 == V24, V24 == V26, V4 == V6, V6 == V9, V9 == V12, V12 == V14, V14 == V18, V18 == V21, V21 == V27, V7 == V10, V10 == V13, V13 == V0, V19 == V28, V20 == V29; #527 ), references = 1, size of lhs = 14:
% 0.54/0.75 P_sk2-{F}(V0), greater-{F}(V0,V1), greater_or_equal-{F}(V0,V1), environment-{F}(V2), in_environment-{F}(V2,V0), P_critical_point-{F}(V2,V1), P_zero-{F}(V3), P_first_movers-{F}(V4), subpopulation-{F}(V4,V2,V0), P_cardinality_at_time-{F}(V4,V0,V3), P_efficient_producers-{F}(V5), subpopulation-{F}(V5,V2,V0), P_sk1-{F}(V6), P_critical_point-{F}(V6,V7) | FALSE
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #578: mergings( V21 == V0, V0 == V27, V2 == V5, V5 == V8, V8 == V10, V10 == V13, V13 == V16, V16 == V20, V20 == V22, V22 == V26, V26 == V28, V3 == V6, V6 == V9, V9 == V11, V11 == V14, V14 == V17, V17 == V19, V19 == V23, V23 == V25, V25 == V29, V4 == V7, V7 == V12, V12 == V15, V15 == V18, V18 == V30; #552 ), references = 1, size of lhs = 10:
% 0.54/0.75 P_sk2-{F}(V0), P_sk1-{F}(V1), in_environment-{F}(V1,V0), environment-{F}(V1), P_zero-{F}(V2), P_first_movers-{F}(V3), subpopulation-{F}(V3,V1,V0), P_cardinality_at_time-{F}(V3,V0,V2), P_efficient_producers-{F}(V4), subpopulation-{F}(V4,V1,V0) | FALSE
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #634: mergings( V4 == V30, V30 == V51, V51 == V54, V54 == V56, V5 == V8, V8 == V11, V11 == V14, V14 == V16, V16 == V19, V19 == V22, V22 == V26, V26 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V36, V36 == V39, V39 == V41, V41 == V44, V44 == V47, V47 == V52, V52 == V55, V55 == V57, V6 == V9, V9 == V12, V12 == V15, V15 == V17, V17 == V20, V20 == V23, V23 == V25, V25 == V28, V28 == V34, V34 == V37, V37 == V40, V40 == V42, V42 == V45, V45 == V48, V48 == V50, V50 == V53, V53 == V0, V3 == V7, V7 == V10, V10 == V13, V13 == V18, V18 == V21, V21 == V24, V24 == V32, V32 == V35, V35 == V38, V38 == V43, V43 == V46, V46 == V49, V49 == V58; #580 ), references = 1, size of lhs = 9:
% 0.54/0.75 P_sk2-{F}(V0), P_sk1-{F}(V1), in_environment-{F}(V1,V0), environment-{F}(V1), P_zero-{F}(V2), P_first_movers-{F}(V3), subpopulation-{F}(V3,V1,V0), P_efficient_producers-{F}(V4), subpopulation-{F}(V4,V1,V0) | FALSE
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #695: mergings( V1 == V4, V4 == V6, V6 == V9, V9 == V12, V12 == V15, V15 == V18, V18 == V20, V20 == V23, V23 == V26, V26 == V30, V30 == V31, V31 == V33, V33 == V34, V34 == V36, V36 == V39, V39 == V42, V42 == V44, V44 == V47, V47 == V50, V50 == V54, V54 == V57, V57 == V58, V2 == V7, V7 == V10, V10 == V13, V13 == V16, V16 == V19, V19 == V21, V21 == V24, V24 == V27, V27 == V29, V29 == V32, V32 == V37, V37 == V40, V40 == V43, V43 == V45, V45 == V48, V48 == V51, V51 == V53, V53 == V55, V55 == V59, V3 == V5, V5 == V8, V8 == V11, V11 == V14, V14 == V17, V17 == V22, V22 == V25, V25 == V28, V28 == V35, V35 == V38, V38 == V41, V41 == V46, V46 == V49, V49 == V52, V52 == V60; #638 ), references = 1, size of lhs = 5:
% 0.54/0.75 P_sk1-{F}(V0), environment-{F}(V0), P_zero-{F}(V1), P_first_movers-{F}(V2), P_efficient_producers-{F}(V3) | FALSE
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #757: mergings( V1 == V4, V4 == V7, V7 == V9, V9 == V12, V12 == V15, V15 == V18, V18 == V21, V21 == V23, V23 == V26, V26 == V29, V29 == V33, V33 == V34, V34 == V36, V36 == V37, V37 == V39, V39 == V42, V42 == V45, V45 == V47, V47 == V50, V50 == V53, V53 == V57, V57 == V59, V59 == V60, V2 == V5, V5 == V10, V10 == V13, V13 == V16, V16 == V19, V19 == V22, V22 == V24, V24 == V27, V27 == V30, V30 == V32, V32 == V35, V35 == V40, V40 == V43, V43 == V46, V46 == V48, V48 == V51, V51 == V54, V54 == V56, V56 == V58, V58 == V61, V3 == V6, V6 == V8, V8 == V11, V11 == V14, V14 == V17, V17 == V20, V20 == V25, V25 == V28, V28 == V31, V31 == V38, V38 == V41, V41 == V44, V44 == V49, V49 == V52, V52 == V55, V55 == V62; #697 ), references = 1, size of lhs = 3:
% 0.54/0.75 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2) | FALSE
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #802: mergings( V1 == V3, V3 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V23, V23 == V24, V24 == V26, V26 == V27, V27 == V28, V28 == V30, V30 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V41, V41 == V43, V43 == V44, V2 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V22, V22 == V25, V25 == V29, V29 == V31, V31 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V40, V40 == V42, V42 == V45; #758 ), references = 1, size of lhs = 2:
% 0.54/0.75 P_zero-{F}(V0), P_first_movers-{F}(V1) | FALSE
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #827: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24; #803 ), references = 1, size of lhs = 1:
% 0.54/0.75 P_zero-{F}(V0) | FALSE
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #829: exists( #20, #803 ), references = 1, size of lhs = 0:
% 0.54/0.75 FALSE | FALSE
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 number of learnt formulas = 28
% 0.54/0.75
% 0.54/0.75
% 0.54/0.75 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.54/0.75
% 0.54/0.75 randbase = 1
%------------------------------------------------------------------------------