%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : MGT030+1 : TPTP v9.3.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 8 06:10:22 AM UTC 2026
% Result : Theorem 0.21s 0.49s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT030+1 : TPTP v9.3.0. Released v2.0.0.
% 0.00/0.04 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.10/0.37 % Computer : n016.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 7 12:23:17 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.21/0.49 GeoParameters:
% 0.21/0.49
% 0.21/0.49 tptp_input = 1
% 0.21/0.49 tptp_output = 0
% 0.21/0.49 nonempty = 1
% 0.21/0.49 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.49 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.21/0.49
% 0.21/0.49
% 0.21/0.49 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.49 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.49
% 0.21/0.49 RuleSystem INPUT:
% 0.21/0.49
% 0.21/0.49 Initial Rules:
% 0.21/0.49 #0: input, references = 5, size of lhs = 4:
% 0.21/0.49 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), environment-{F}(V2), in_environment-{F}(V2,V3) | pppp5-{T}(V2,V3,V0,V1), pppp6-{T}(V2,V0,V1)
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #1: input, references = 5, size of lhs = 1:
% 0.21/0.49 pppp5-{F}(V0,V1,V2,V3) | EXISTS V4: pppp0-{T}(V0,V1,V4,V2,V3)
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #2: input, references = 5, size of lhs = 1:
% 0.21/0.49 pppp6-{F}(V0,V1,V2) | EXISTS V3: pppp1-{T}(V0,V3,V1,V2)
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #3: input, references = 5, size of lhs = 7:
% 0.21/0.49 pppp1-{F}(V0,V1,V2,V3), P_growth_rate-{F}(V3,V1,V4), P_growth_rate-{F}(V2,V1,V5), P_growth_rate-{F}(V3,V6,V7), P_growth_rate-{F}(V2,V6,V8), subpopulations-{F}(V2,V3,V0,V6), greater-{F}(V6,V1) | greater-{T}(V7,V8)
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #4: input, references = 5, size of lhs = 4:
% 0.21/0.49 pppp1-{F}(V0,V1,V2,V3), P_growth_rate-{F}(V3,V1,V4), P_growth_rate-{F}(V2,V1,V5), greater-{F}(V4,V5) | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #5: input, references = 5, size of lhs = 3:
% 0.21/0.49 pppp1-{F}(V0,V1,V2,V3), P_growth_rate-{F}(V3,V1,V4), P_growth_rate-{F}(V2,V1,V5) | in_environment-{T}(V0,V1)
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #6: input, references = 5, size of lhs = 4:
% 0.21/0.49 pppp0-{F}(V0,V1,V2,V3,V4), P_growth_rate-{F}(V4,V2,V5), P_growth_rate-{F}(V3,V2,V6), greater-{F}(V5,V6) | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #7: input, references = 5, size of lhs = 3:
% 0.21/0.49 pppp0-{F}(V0,V1,V2,V3,V4), P_growth_rate-{F}(V4,V2,V5), P_growth_rate-{F}(V3,V2,V6) | greater_or_equal-{T}(V2,V1)
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #8: input, references = 5, size of lhs = 3:
% 0.21/0.49 pppp0-{F}(V0,V1,V2,V3,V4), P_growth_rate-{F}(V4,V2,V5), P_growth_rate-{F}(V3,V2,V6) | subpopulations-{T}(V3,V4,V0,V2)
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #9: input, references = 5, size of lhs = 4:
% 0.21/0.49 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), environment-{F}(V2), stable-{F}(V2) | EXISTS V3: pppp2-{T}(V2,V3,V0,V1)
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #10: input, references = 5, size of lhs = 5:
% 0.21/0.49 pppp2-{F}(V0,V1,V2,V3), P_growth_rate-{F}(V3,V4,V5), P_growth_rate-{F}(V2,V4,V6), subpopulations-{F}(V2,V3,V0,V4), greater_or_equal-{F}(V4,V1) | greater-{T}(V5,V6)
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #11: input, references = 5, size of lhs = 1:
% 0.21/0.49 pppp2-{F}(V0,V1,V2,V3) | in_environment-{T}(V0,V1)
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #12: input, references = 5, size of lhs = 2:
% 0.21/0.49 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1) | EXISTS V2: pppp4-{T}(V2,V0,V1)
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #13: input, references = 6, size of lhs = 4:
% 0.21/0.49 pppp4-{F}(V0,V1,V2), P_growth_rate-{F}(V2,V3,V4), P_growth_rate-{F}(V1,V3,V5), in_environment-{F}(V0,V3) | greater-{T}(V4,V5), pppp7-{T}(V0,V3,V1,V2)
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #14: input, references = 5, size of lhs = 1:
% 0.21/0.49 pppp7-{F}(V0,V1,V2,V3) | EXISTS V4: pppp3-{T}(V0,V1,V4,V2,V3)
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #15: input, references = 5, size of lhs = 1:
% 0.21/0.49 pppp4-{F}(V0,V1,V2) | stable-{T}(V0)
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #16: input, references = 5, size of lhs = 1:
% 0.21/0.49 pppp4-{F}(V0,V1,V2) | environment-{T}(V0)
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #17: input, references = 5, size of lhs = 4:
% 0.21/0.49 pppp3-{F}(V0,V1,V2,V3,V4), P_growth_rate-{F}(V4,V2,V5), P_growth_rate-{F}(V3,V2,V6), greater-{F}(V5,V6) | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #18: input, references = 5, size of lhs = 3:
% 0.21/0.49 pppp3-{F}(V0,V1,V2,V3,V4), P_growth_rate-{F}(V4,V2,V5), P_growth_rate-{F}(V3,V2,V6) | greater-{T}(V2,V1)
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #19: input, references = 5, size of lhs = 3:
% 0.21/0.49 pppp3-{F}(V0,V1,V2,V3,V4), P_growth_rate-{F}(V4,V2,V5), P_growth_rate-{F}(V3,V2,V6) | subpopulations-{T}(V3,V4,V0,V2)
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #20: input, references = 4, size of lhs = 0:
% 0.21/0.49 FALSE | EXISTS V0: P_first_movers-{T}(V0)
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #21: input, references = 4, size of lhs = 0:
% 0.21/0.49 FALSE | EXISTS V0: P_efficient_producers-{T}(V0)
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #22: input, references = 12, size of lhs = 2:
% 0.21/0.49 #-{F} V0, #-{F} V1 | EXISTS V2: P_growth_rate-{T}(V0,V1,V2)
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 number of initial rules = 23
% 0.21/0.49
% 0.21/0.49 Simplifiers:
% 0.21/0.49 #23: unsound, references = 3, size of lhs = 3:
% 0.21/0.49 subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #24: unsound, references = 3, size of lhs = 3:
% 0.21/0.49 subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #25: unsound, references = 3, size of lhs = 3:
% 0.21/0.49 P_first_movers-{F}(V0), P_first_movers-{F}(V1), V0 == V1 | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #26: unsound, references = 3, size of lhs = 3:
% 0.21/0.49 P_efficient_producers-{F}(V0), P_efficient_producers-{F}(V1), V0 == V1 | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #27: unsound, references = 3, size of lhs = 3:
% 0.21/0.49 P_growth_rate-{F}(V0,V1,V2), P_growth_rate-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #28: unsound, references = 3, size of lhs = 3:
% 0.21/0.49 pppp0-{F}(V0,V1,V2,V3,V4), pppp0-{F}(V0,V1,V7,V3,V4), V2 == V7 | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #29: unsound, references = 3, size of lhs = 3:
% 0.21/0.49 pppp0-{F}(V0,V1,V2,V3,V4), pppp0-{F}(V5,V6,V7,V8,V9), V3 == V8 | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #30: unsound, references = 3, size of lhs = 3:
% 0.21/0.49 pppp0-{F}(V0,V1,V2,V3,V4), pppp0-{F}(V5,V6,V7,V8,V9), V4 == V9 | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #31: unsound, references = 3, size of lhs = 3:
% 0.21/0.49 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #32: unsound, references = 3, size of lhs = 3:
% 0.21/0.49 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #33: unsound, references = 3, size of lhs = 3:
% 0.21/0.49 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #34: unsound, references = 3, size of lhs = 3:
% 0.21/0.49 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #35: unsound, references = 3, size of lhs = 3:
% 0.21/0.49 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #36: unsound, references = 3, size of lhs = 3:
% 0.21/0.49 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #37: unsound, references = 3, size of lhs = 3:
% 0.21/0.49 pppp3-{F}(V0,V1,V2,V3,V4), pppp3-{F}(V0,V1,V7,V3,V4), V2 == V7 | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #38: unsound, references = 3, size of lhs = 3:
% 0.21/0.49 pppp3-{F}(V0,V1,V2,V3,V4), pppp3-{F}(V5,V6,V7,V3,V4), V0 == V5 | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #39: unsound, references = 3, size of lhs = 3:
% 0.21/0.49 pppp3-{F}(V0,V1,V2,V3,V4), pppp3-{F}(V5,V6,V7,V8,V9), V3 == V8 | FALSE
% 0.21/0.49 (used 0 times, uses = {})
% 0.21/0.49
% 0.21/0.49 #40: unsound, references = 3, size of lhs = 3:
% 0.21/0.50 pppp3-{F}(V0,V1,V2,V3,V4), pppp3-{F}(V5,V6,V7,V8,V9), V4 == V9 | FALSE
% 0.21/0.50 (used 0 times, uses = {})
% 0.21/0.50
% 0.21/0.50 #41: unsound, references = 3, size of lhs = 3:
% 0.21/0.50 pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.21/0.50 (used 0 times, uses = {})
% 0.21/0.50
% 0.21/0.50 #42: unsound, references = 3, size of lhs = 3:
% 0.21/0.50 pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.21/0.50 (used 0 times, uses = {})
% 0.21/0.50
% 0.21/0.50 #43: unsound, references = 3, size of lhs = 3:
% 0.21/0.50 pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.21/0.50 (used 0 times, uses = {})
% 0.21/0.50
% 0.21/0.50 #44: unsound, references = 3, size of lhs = 3:
% 0.21/0.50 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.21/0.50 (used 0 times, uses = {})
% 0.21/0.50
% 0.21/0.50 #45: unsound, references = 3, size of lhs = 3:
% 0.21/0.50 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.21/0.50 (used 0 times, uses = {})
% 0.21/0.50
% 0.21/0.50 #46: unsound, references = 3, size of lhs = 3:
% 0.21/0.50 pppp6-{F}(V0,V1,V2), pppp6-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.21/0.50 (used 0 times, uses = {})
% 0.21/0.50
% 0.21/0.50 #47: unsound, references = 3, size of lhs = 3:
% 0.21/0.50 pppp6-{F}(V0,V1,V2), pppp6-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.21/0.50 (used 0 times, uses = {})
% 0.21/0.50
% 0.21/0.50 #48: unsound, references = 3, size of lhs = 3:
% 0.21/0.50 pppp7-{F}(V0,V1,V2,V3), pppp7-{F}(V4,V5,V2,V3), V0 == V4 | FALSE
% 0.21/0.50 (used 0 times, uses = {})
% 0.21/0.50
% 0.21/0.50 #49: unsound, references = 3, size of lhs = 3:
% 0.21/0.50 pppp7-{F}(V0,V1,V2,V3), pppp7-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.21/0.50 (used 0 times, uses = {})
% 0.21/0.50
% 0.21/0.50 #50: unsound, references = 3, size of lhs = 3:
% 0.21/0.50 pppp7-{F}(V0,V1,V2,V3), pppp7-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.21/0.50 (used 0 times, uses = {})
% 0.21/0.50
% 0.21/0.50 number of simplifiers = 28
% 0.21/0.50
% 0.21/0.50 Learnt:
% 0.21/0.50 #63: exists( #22, #59 ), references = 1, size of lhs = 4:
% 0.21/0.50 pppp2-{F}(V0,V1,V2,V2), pppp0-{F}(V3,V1,V4,V2,V2), pppp0-{F}(V0,V5,V4,V2,V2), pppp0-{F}(V6,V7,V4,V2,V2) | FALSE
% 0.21/0.50 (used 0 times, uses = {})
% 0.21/0.50
% 0.21/0.50 #65: exists( #1, #61 ), references = 1, size of lhs = 2:
% 0.21/0.50 pppp5-{F}(V0,V1,V2,V2), pppp2-{F}(V0,V1,V2,V2) | FALSE
% 0.21/0.50 (used 0 times, uses = {})
% 0.21/0.50
% 0.21/0.50 #67: disj( #0, exists( #1, #61 ) ), references = 1, size of lhs = 5:
% 0.21/0.50 P_first_movers-{F}(V0), P_efficient_producers-{F}(V0), environment-{F}(V1), in_environment-{F}(V1,V2), pppp2-{F}(V1,V2,V0,V0) | pppp6-{T}(V1,V0,V0)
% 0.21/0.50 (used 0 times, uses = {})
% 0.21/0.50
% 0.21/0.50 #82: mergings( V4 == V8, V5 == V6, V6 == V9; #78 ), references = 1, size of lhs = 5:
% 0.21/0.50 pppp1-{F}(V0,V1,V2,V2), P_growth_rate-{F}(V2,V1,V3), pppp3-{F}(V0,V1,V4,V2,V2), pppp3-{F}(V0,V5,V4,V2,V2), pppp3-{F}(V0,V6,V4,V2,V2) | FALSE
% 0.21/0.50 (used 0 times, uses = {})
% 0.21/0.50
% 0.21/0.50 #85: mergings( V4 == V5; #83 ), references = 1, size of lhs = 3:
% 0.21/0.50 pppp7-{F}(V0,V1,V2,V2), pppp1-{F}(V0,V1,V2,V2), P_growth_rate-{F}(V2,V1,V3) | FALSE
% 0.21/0.50 (used 0 times, uses = {})
% 0.21/0.50
% 0.21/0.50 #90: mergings( V3 == V4, V4 == V5, V5 == V6; #86 ), references = 2, size of lhs = 4:
% 0.21/0.50 in_environment-{F}(V0,V1), pppp4-{F}(V0,V2,V2), pppp1-{F}(V0,V1,V2,V2), P_growth_rate-{F}(V2,V1,V3) | greater-{T}(V3,V3)
% 0.21/0.50 (used 0 times, uses = {})
% 0.21/0.50
% 0.21/0.50 #96: exists( #22, #94 ), references = 1, size of lhs = 3:
% 0.21/0.50 pppp4-{F}(V0,V1,V1), pppp1-{F}(V0,V2,V1,V1), pppp1-{F}(V3,V2,V1,V1) | FALSE
% 0.21/0.50 (used 0 times, uses = {})
% 0.21/0.50
% 0.21/0.50 #98: exists( #2, #95 ), references = 1, size of lhs = 2:
% 0.21/0.50 pppp6-{F}(V0,V1,V1), pppp4-{F}(V0,V1,V1) | FALSE
% 0.21/0.50 (used 0 times, uses = {})
% 0.21/0.50
% 0.21/0.50 #102: exists( #9, #100 ), references = 1, size of lhs = 5:
% 0.21/0.50 stable-{F}(V0), environment-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V1), pppp4-{F}(V0,V1,V1) | FALSE
% 0.21/0.50 (used 0 times, uses = {})
% 0.21/0.50
% 0.21/0.50 #106: exists( #12, #104 ), references = 1, size of lhs = 2:
% 0.21/0.50 P_first_movers-{F}(V0), P_efficient_producers-{F}(V0) | FALSE
% 0.21/0.50 (used 0 times, uses = {})
% 0.21/0.50
% 0.21/0.50 #109: disj( #13, input ), references = 1, size of lhs = 7:
% 0.21/0.50 in_environment-{F}(V0,V1), pppp4-{F}(V0,V2,V3), P_growth_rate-{F}(V3,V1,V4), P_growth_rate-{F}(V2,V1,V5), P_growth_rate-{F}(V6,V7,V5), P_growth_rate-{F}(V8,V7,V4), pppp3-{F}(V9,V10,V7,V6,V8) | pppp7-{T}(V0,V1,V2,V3)
% 0.21/0.50 (used 0 times, uses = {})
% 0.21/0.50
% 0.21/0.50 #120: mergings( V6 == V7, V3 == V5, V4 == V7, V10 == V11, V5 == V14, V11 == V15; #113 ), references = 2, size of lhs = 7:
% 0.21/0.50 P_growth_rate-{F}(V0,V1,V2), P_growth_rate-{F}(V0,V3,V4), pppp3-{F}(V5,V3,V1,V0,V6), pppp1-{F}(V5,V3,V0,V6), pppp3-{F}(V5,V7,V1,V0,V6), P_growth_rate-{F}(V6,V3,V8), pppp3-{F}(V5,V9,V1,V0,V6) | FALSE
% 0.21/0.50 (used 0 times, uses = {})
% 0.21/0.50
% 0.21/0.50 #122: exists( #22, #120 ), references = 1, size of lhs = 6:
% 0.21/0.50 P_growth_rate-{F}(V0,V1,V2), pppp1-{F}(V3,V1,V0,V4), pppp3-{F}(V3,V1,V5,V0,V4), pppp3-{F}(V3,V6,V5,V0,V4), P_growth_rate-{F}(V4,V1,V7), pppp3-{F}(V3,V8,V5,V0,V4) | FALSE
% 0.21/0.50 (used 0 times, uses = {})
% 0.21/0.50
% 0.21/0.50 #124: exists( #14, #121 ), references = 1, size of lhs = 4:
% 0.21/0.50 P_growth_rate-{F}(V0,V1,V2), pppp7-{F}(V3,V1,V0,V4), pppp1-{F}(V3,V1,V0,V4), P_growth_rate-{F}(V4,V1,V5) | FALSE
% 0.21/0.50 (used 0 times, uses = {})
% 0.21/0.50
% 0.21/0.50 #128: mergings( V4 == V7, V5 == V6; #125 ), references = 1, size of lhs = 5:
% 0.21/0.50 in_environment-{F}(V0,V1), pppp4-{F}(V0,V2,V3), pppp1-{F}(V0,V1,V2,V3), P_growth_rate-{F}(V2,V1,V4), P_growth_rate-{F}(V3,V1,V5) | greater-{T}(V5,V4)
% 0.21/0.50 (used 0 times, uses = {})
% 0.21/0.50
% 0.21/0.50 #136: mergings( V7 == V8, V3 == V6, V4 == V8, V6 == V9; #131 ), references = 2, size of lhs = 4:
% 0.21/0.50 pppp4-{F}(V0,V1,V2), pppp1-{F}(V0,V3,V1,V2), P_growth_rate-{F}(V1,V3,V4), pppp1-{F}(V5,V3,V1,V2) | FALSE
% 0.21/0.50 (used 0 times, uses = {})
% 0.21/0.50
% 0.21/0.50 #138: exists( #22, #136 ), references = 1, size of lhs = 3:
% 0.21/0.50 pppp4-{F}(V0,V1,V2), pppp1-{F}(V0,V3,V1,V2), pppp1-{F}(V4,V3,V1,V2) | FALSE
% 0.21/0.50 (used 0 times, uses = {})
% 0.21/0.50
% 0.21/0.50 #140: exists( #2, #137 ), references = 1, size of lhs = 2:
% 0.21/0.50 pppp6-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V2) | FALSE
% 0.21/0.50 (used 0 times, uses = {})
% 0.21/0.50
% 0.21/0.50 #142: disj( #0, exists( #2, #137 ) ), references = 1, size of lhs = 5:
% 0.21/0.50 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), environment-{F}(V2), pppp4-{F}(V2,V0,V1), in_environment-{F}(V2,V3) | pppp5-{T}(V2,V3,V0,V1)
% 0.21/0.50 (used 0 times, uses = {})
% 0.21/0.50
% 0.21/0.50 #151: mergings( V6 == V7, V3 == V5, V4 == V7, V5 == V8; #146 ), references = 1, size of lhs = 5:
% 0.21/0.50 P_growth_rate-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V1,V0,V5), pppp2-{F}(V6,V4,V0,V5), pppp0-{F}(V6,V7,V1,V0,V5), pppp0-{F}(V8,V9,V1,V0,V5) | FALSE
% 0.21/0.50 (used 0 times, uses = {})
% 0.21/0.50
% 0.21/0.50 #153: exists( #22, #146 ), references = 1, size of lhs = 4:
% 0.21/0.50 pppp2-{F}(V0,V1,V2,V3), pppp0-{F}(V4,V1,V5,V2,V3), pppp0-{F}(V0,V6,V5,V2,V3), pppp0-{F}(V7,V8,V5,V2,V3) | FALSE
% 0.21/0.50 (used 0 times, uses = {})
% 0.21/0.50
% 0.21/0.50 #155: exists( #1, #152 ), references = 1, size of lhs = 2:
% 0.21/0.50 pppp5-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V1,V2,V3) | FALSE
% 0.21/0.50 (used 0 times, uses = {})
% 0.21/0.50
% 0.21/0.50 #159: exists( #9, #157 ), references = 1, size of lhs = 5:
% 0.21/0.50 stable-{F}(V0), environment-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), pppp4-{F}(V0,V1,V2) | FALSE
% 0.21/0.50 (used 0 times, uses = {})
% 0.21/0.50
% 0.21/0.50 #163: exists( #12, #161 ), references = 1, size of lhs = 2:
% 0.21/0.50 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1) | FALSE
% 0.21/0.50 (used 0 times, uses = {})
% 0.21/0.50
% 0.21/0.50 #165: exists( #21, #162 ), references = 1, size of lhs = 1:
% 0.21/0.50 P_first_movers-{F}(V0) | FALSE
% 0.21/0.50 (used 0 times, uses = {})
% 0.21/0.50
% 0.21/0.50 #167: exists( #20, #164 ), references = 1, size of lhs = 0:
% 0.21/0.50 FALSE | FALSE
% 0.21/0.50 (used 0 times, uses = {})
% 0.21/0.50
% 0.21/0.50 number of learnt formulas = 26
% 0.21/0.50
% 0.21/0.50
% 0.21/0.50 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.50
% 0.21/0.50 randbase = 1
%------------------------------------------------------------------------------