%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : MGT028+1 : TPTP v9.3.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n026.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 0.13s 0.43s
% Output : Refutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT028+1 : TPTP v9.3.0. Released v2.0.0.
% 0.00/0.03 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.07/0.35 % Computer : n026.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 7 12:17:42 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.13/0.43 GeoParameters:
% 0.13/0.43
% 0.13/0.43 tptp_input = 1
% 0.13/0.43 tptp_output = 0
% 0.13/0.43 nonempty = 1
% 0.13/0.43 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.43 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.13/0.43
% 0.13/0.43
% 0.13/0.43 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.43 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.43
% 0.13/0.43 RuleSystem INPUT:
% 0.13/0.43
% 0.13/0.43 Initial Rules:
% 0.13/0.43 #0: input, references = 5, size of lhs = 7:
% 0.13/0.43 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), P_appear-{F}(V1,V3,V4), environment-{F}(V3), stable-{F}(V3), in_environment-{F}(V3,V5) | pppp5-{T}(V3,V5,V0,V1,V2), pppp6-{T}(V3,V0,V1,V2,V4)
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #1: input, references = 5, size of lhs = 1:
% 0.13/0.43 pppp5-{F}(V0,V1,V2,V3,V4) | EXISTS V5: pppp0-{T}(V0,V1,V5,V2,V3,V4)
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #2: input, references = 4, size of lhs = 1:
% 0.13/0.43 pppp6-{F}(V0,V1,V2,V3,V4) | EXISTS V5: pppp1-{T}(V0,V5,V1,V2,V3,V4)
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #3: input, references = 4, size of lhs = 4:
% 0.13/0.43 pppp1-{F}(V0,V1,V2,V3,V4,V5), P_growth_rate-{F}(V2,V6,V7), subpopulations-{F}(V2,V3,V0,V6), greater_or_equal-{F}(V6,V1) | greater-{T}(V4,V7)
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #4: input, references = 4, size of lhs = 1:
% 0.13/0.43 pppp1-{F}(V0,V1,V2,V3,V4,V5) | greater-{T}(V1,V5)
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #5: input, references = 5, size of lhs = 3:
% 0.13/0.43 pppp0-{F}(V0,V1,V2,V3,V4,V5), P_growth_rate-{F}(V3,V2,V6), greater-{F}(V5,V6) | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #6: input, references = 5, size of lhs = 2:
% 0.13/0.43 pppp0-{F}(V0,V1,V2,V3,V4,V5), P_growth_rate-{F}(V3,V2,V6) | greater_or_equal-{T}(V2,V1)
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #7: input, references = 5, size of lhs = 2:
% 0.13/0.43 pppp0-{F}(V0,V1,V2,V3,V4,V5), P_growth_rate-{F}(V3,V2,V6) | subpopulations-{T}(V3,V4,V0,V2)
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #8: input, references = 5, size of lhs = 5:
% 0.13/0.43 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), environment-{F}(V3), stable-{F}(V3) | EXISTS V4: pppp2-{T}(V3,V4,V0,V1,V2)
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #9: input, references = 5, size of lhs = 5:
% 0.13/0.43 pppp2-{F}(V0,V1,V2,V3,V4), P_growth_rate-{F}(V3,V5,V6), P_growth_rate-{F}(V2,V5,V7), subpopulations-{F}(V2,V3,V0,V5), greater_or_equal-{F}(V5,V1) | greater-{T}(V4,V7)
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #10: input, references = 3, size of lhs = 5:
% 0.13/0.43 pppp2-{F}(V0,V1,V2,V3,V4), P_growth_rate-{F}(V3,V5,V6), P_growth_rate-{F}(V2,V5,V7), subpopulations-{F}(V2,V3,V0,V5), greater_or_equal-{F}(V5,V1) | greater-{T}(V6,V4)
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #11: input, references = 5, size of lhs = 1:
% 0.13/0.43 pppp2-{F}(V0,V1,V2,V3,V4) | in_environment-{T}(V0,V1)
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #12: input, references = 5, size of lhs = 3:
% 0.13/0.43 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2) | EXISTS V3: pppp4-{T}(V3,V0,V1,V2)
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #13: input, references = 4, size of lhs = 3:
% 0.13/0.43 pppp4-{F}(V0,V1,V2,V3), P_appear-{F}(V2,V0,V4), greater-{F}(V5,V4) | EXISTS V6: pppp3-{T}(V0,V6,V5,V1,V2,V3)
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #14: input, references = 5, size of lhs = 2:
% 0.13/0.43 pppp4-{F}(V0,V1,V2,V3), P_appear-{F}(V2,V0,V4) | stable-{T}(V0)
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #15: input, references = 5, size of lhs = 2:
% 0.13/0.43 pppp4-{F}(V0,V1,V2,V3), P_appear-{F}(V2,V0,V4) | environment-{T}(V0)
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #16: input, references = 4, size of lhs = 3:
% 0.13/0.43 pppp3-{F}(V0,V1,V2,V3,V4,V5), P_growth_rate-{F}(V3,V1,V6), greater-{F}(V5,V6) | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #17: input, references = 4, size of lhs = 2:
% 0.13/0.43 pppp3-{F}(V0,V1,V2,V3,V4,V5), P_growth_rate-{F}(V3,V1,V6) | greater_or_equal-{T}(V1,V2)
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #18: input, references = 4, size of lhs = 2:
% 0.13/0.43 pppp3-{F}(V0,V1,V2,V3,V4,V5), P_growth_rate-{F}(V3,V1,V6) | subpopulations-{T}(V3,V4,V0,V1)
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #19: input, references = 4, size of lhs = 0:
% 0.13/0.43 FALSE | EXISTS V0: P_first_movers-{T}(V0)
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #20: input, references = 4, size of lhs = 0:
% 0.13/0.43 FALSE | EXISTS V0: P_efficient_producers-{T}(V0)
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #21: input, references = 5, size of lhs = 0:
% 0.13/0.43 FALSE | EXISTS V0: P_zero-{T}(V0)
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #22: input, references = 7, size of lhs = 2:
% 0.13/0.43 #-{F} V0, #-{F} V1 | EXISTS V2: P_growth_rate-{T}(V0,V1,V2)
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #23: input, references = 5, size of lhs = 2:
% 0.13/0.43 #-{F} V0, #-{F} V1 | EXISTS V2: P_appear-{T}(V0,V1,V2)
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 number of initial rules = 24
% 0.13/0.43
% 0.13/0.43 Simplifiers:
% 0.13/0.43 #24: unsound, references = 3, size of lhs = 3:
% 0.13/0.43 subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #25: unsound, references = 3, size of lhs = 3:
% 0.13/0.43 subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #26: unsound, references = 3, size of lhs = 3:
% 0.13/0.43 P_first_movers-{F}(V0), P_first_movers-{F}(V1), V0 == V1 | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #27: unsound, references = 3, size of lhs = 3:
% 0.13/0.43 P_efficient_producers-{F}(V0), P_efficient_producers-{F}(V1), V0 == V1 | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #28: unsound, references = 3, size of lhs = 3:
% 0.13/0.43 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #29: unsound, references = 3, size of lhs = 3:
% 0.13/0.43 P_growth_rate-{F}(V0,V1,V2), P_growth_rate-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #30: unsound, references = 3, size of lhs = 3:
% 0.13/0.43 P_appear-{F}(V0,V1,V2), P_appear-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #31: unsound, references = 3, size of lhs = 3:
% 0.13/0.43 pppp0-{F}(V0,V1,V2,V3,V4,V5), pppp0-{F}(V0,V1,V8,V3,V4,V5), V2 == V8 | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #32: unsound, references = 3, size of lhs = 3:
% 0.13/0.43 pppp0-{F}(V0,V1,V2,V3,V4,V5), pppp0-{F}(V6,V7,V8,V9,V10,V11), V3 == V9 | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #33: unsound, references = 3, size of lhs = 3:
% 0.13/0.43 pppp0-{F}(V0,V1,V2,V3,V4,V5), pppp0-{F}(V6,V7,V8,V9,V10,V11), V4 == V10 | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #34: unsound, references = 3, size of lhs = 3:
% 0.13/0.43 pppp0-{F}(V0,V1,V2,V3,V4,V5), pppp0-{F}(V6,V7,V8,V9,V10,V11), V5 == V11 | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #35: unsound, references = 3, size of lhs = 3:
% 0.13/0.43 pppp1-{F}(V0,V1,V2,V3,V4,V5), pppp1-{F}(V0,V7,V2,V3,V4,V5), V1 == V7 | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #36: unsound, references = 3, size of lhs = 3:
% 0.13/0.43 pppp1-{F}(V0,V1,V2,V3,V4,V5), pppp1-{F}(V6,V7,V8,V9,V10,V11), V2 == V8 | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #37: unsound, references = 3, size of lhs = 3:
% 0.13/0.43 pppp1-{F}(V0,V1,V2,V3,V4,V5), pppp1-{F}(V6,V7,V8,V9,V10,V11), V3 == V9 | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #38: unsound, references = 3, size of lhs = 3:
% 0.13/0.43 pppp1-{F}(V0,V1,V2,V3,V4,V5), pppp1-{F}(V6,V7,V8,V9,V10,V11), V4 == V10 | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #39: unsound, references = 3, size of lhs = 3:
% 0.13/0.43 pppp1-{F}(V0,V1,V2,V3,V4,V5), pppp1-{F}(V0,V7,V8,V3,V10,V11), V5 == V11 | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #40: unsound, references = 3, size of lhs = 3:
% 0.13/0.43 pppp2-{F}(V0,V1,V2,V3,V4), pppp2-{F}(V0,V6,V2,V3,V4), V1 == V6 | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #41: unsound, references = 3, size of lhs = 3:
% 0.13/0.43 pppp2-{F}(V0,V1,V2,V3,V4), pppp2-{F}(V5,V6,V7,V8,V9), V2 == V7 | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #42: unsound, references = 3, size of lhs = 3:
% 0.13/0.43 pppp2-{F}(V0,V1,V2,V3,V4), pppp2-{F}(V5,V6,V7,V8,V9), V3 == V8 | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #43: unsound, references = 3, size of lhs = 3:
% 0.13/0.43 pppp2-{F}(V0,V1,V2,V3,V4), pppp2-{F}(V5,V6,V7,V8,V9), V4 == V9 | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #44: unsound, references = 3, size of lhs = 3:
% 0.13/0.43 pppp3-{F}(V0,V1,V2,V3,V4,V5), pppp3-{F}(V0,V7,V2,V3,V4,V5), V1 == V7 | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #45: unsound, references = 3, size of lhs = 3:
% 0.13/0.43 pppp3-{F}(V0,V1,V2,V3,V4,V5), pppp3-{F}(V6,V7,V8,V3,V4,V5), V0 == V6 | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #46: unsound, references = 3, size of lhs = 3:
% 0.13/0.43 pppp3-{F}(V0,V1,V2,V3,V4,V5), pppp3-{F}(V6,V7,V8,V9,V10,V11), V3 == V9 | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #47: unsound, references = 3, size of lhs = 3:
% 0.13/0.43 pppp3-{F}(V0,V1,V2,V3,V4,V5), pppp3-{F}(V6,V7,V8,V9,V10,V11), V4 == V10 | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #48: unsound, references = 3, size of lhs = 3:
% 0.13/0.43 pppp3-{F}(V0,V1,V2,V3,V4,V5), pppp3-{F}(V6,V7,V8,V9,V10,V11), V5 == V11 | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #49: unsound, references = 3, size of lhs = 3:
% 0.13/0.43 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #50: unsound, references = 3, size of lhs = 3:
% 0.13/0.43 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #51: unsound, references = 3, size of lhs = 3:
% 0.13/0.43 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #52: unsound, references = 3, size of lhs = 3:
% 0.13/0.43 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #53: unsound, references = 3, size of lhs = 3:
% 0.13/0.43 pppp5-{F}(V0,V1,V2,V3,V4), pppp5-{F}(V5,V6,V7,V8,V9), V2 == V7 | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #54: unsound, references = 3, size of lhs = 3:
% 0.13/0.43 pppp5-{F}(V0,V1,V2,V3,V4), pppp5-{F}(V5,V6,V7,V8,V9), V3 == V8 | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #55: unsound, references = 3, size of lhs = 3:
% 0.13/0.43 pppp5-{F}(V0,V1,V2,V3,V4), pppp5-{F}(V5,V6,V7,V8,V9), V4 == V9 | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #56: unsound, references = 3, size of lhs = 3:
% 0.13/0.43 pppp6-{F}(V0,V1,V2,V3,V4), pppp6-{F}(V5,V6,V7,V8,V9), V1 == V6 | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #57: unsound, references = 3, size of lhs = 3:
% 0.13/0.43 pppp6-{F}(V0,V1,V2,V3,V4), pppp6-{F}(V5,V6,V7,V8,V9), V2 == V7 | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #58: unsound, references = 3, size of lhs = 3:
% 0.13/0.43 pppp6-{F}(V0,V1,V2,V3,V4), pppp6-{F}(V5,V6,V7,V8,V9), V3 == V8 | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #59: unsound, references = 3, size of lhs = 3:
% 0.13/0.43 pppp6-{F}(V0,V1,V2,V3,V4), pppp6-{F}(V0,V6,V2,V8,V9), V4 == V9 | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 number of simplifiers = 36
% 0.13/0.43
% 0.13/0.43 Learnt:
% 0.13/0.43 #71: mergings( V0 == V9, V9 == V13, V7 == V10, V10 == V5; #66 ), references = 1, size of lhs = 4:
% 0.13/0.43 pppp2-{F}(V0,V1,V2,V2,V3), pppp0-{F}(V0,V4,V5,V2,V2,V3), pppp0-{F}(V6,V1,V5,V2,V2,V3), pppp0-{F}(V7,V8,V5,V2,V2,V3) | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #73: exists( #1, #66 ), references = 1, size of lhs = 2:
% 0.13/0.43 pppp5-{F}(V0,V1,V2,V2,V3), pppp2-{F}(V0,V1,V2,V2,V3) | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #75: disj( #0, exists( #1, #66 ) ), references = 1, size of lhs = 8:
% 0.13/0.43 P_first_movers-{F}(V0), P_efficient_producers-{F}(V0), P_zero-{F}(V1), environment-{F}(V2), stable-{F}(V2), P_appear-{F}(V0,V2,V3), in_environment-{F}(V2,V4), pppp2-{F}(V2,V4,V0,V0,V1) | pppp6-{T}(V2,V0,V0,V1,V3)
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #89: mergings( V5 == V9, V9 == V15, V6 == V10, V3 == V7, V10 == V11, V7 == V13; #82 ), references = 1, size of lhs = 4:
% 0.13/0.43 pppp3-{F}(V0,V1,V2,V3,V4,V5), pppp3-{F}(V0,V1,V6,V3,V4,V5), pppp1-{F}(V0,V2,V3,V4,V5,V7), pppp3-{F}(V0,V1,V8,V3,V4,V5) | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #91: exists( #13, #82 ), references = 1, size of lhs = 4:
% 0.13/0.43 greater-{F}(V0,V1), P_appear-{F}(V2,V3,V1), pppp4-{F}(V3,V4,V2,V5), pppp1-{F}(V3,V0,V4,V2,V5,V6) | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #94: exists( #2, #92 ), references = 1, size of lhs = 3:
% 0.13/0.43 P_appear-{F}(V0,V1,V2), pppp4-{F}(V1,V3,V0,V4), pppp6-{F}(V1,V3,V0,V4,V2) | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #98: exists( #8, #96 ), references = 1, size of lhs = 7:
% 0.13/0.43 P_first_movers-{F}(V0), P_efficient_producers-{F}(V0), P_zero-{F}(V1), environment-{F}(V2), stable-{F}(V2), pppp4-{F}(V2,V0,V0,V1), P_appear-{F}(V0,V2,V3) | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #106: mergings( V0 == V4, V4 == V6, V3 == V5, V5 == V7; #101 ), references = 1, size of lhs = 4:
% 0.13/0.43 P_first_movers-{F}(V0), P_efficient_producers-{F}(V0), P_zero-{F}(V1), pppp4-{F}(V2,V0,V0,V1) | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #108: exists( #12, #101 ), references = 1, size of lhs = 3:
% 0.13/0.43 P_first_movers-{F}(V0), P_efficient_producers-{F}(V0), P_zero-{F}(V1) | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #110: exists( #21, #107 ), references = 1, size of lhs = 2:
% 0.13/0.43 P_first_movers-{F}(V0), P_efficient_producers-{F}(V0) | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #112: disj( #0, exists( #2, #92 ) ), references = 1, size of lhs = 8:
% 0.13/0.43 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), environment-{F}(V3), stable-{F}(V3), pppp4-{F}(V3,V0,V1,V2), in_environment-{F}(V3,V4), P_appear-{F}(V1,V3,V5) | pppp5-{T}(V3,V4,V0,V1,V2)
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #118: exists( #22, #116 ), references = 1, size of lhs = 6:
% 0.13/0.43 greater_or_equal-{F}(V0,V1), P_growth_rate-{F}(V2,V0,V3), subpopulations-{F}(V2,V4,V5,V0), pppp2-{F}(V5,V1,V2,V4,V6), P_growth_rate-{F}(V7,V8,V3), pppp0-{F}(V9,V10,V8,V7,V11,V6) | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #126: mergings( V8 == V5, V5 == V14, V11 == V6, V6 == V9; #121 ), references = 1, size of lhs = 4:
% 0.13/0.43 pppp2-{F}(V0,V1,V2,V3,V4), pppp0-{F}(V0,V5,V6,V2,V3,V4), pppp0-{F}(V7,V1,V6,V2,V3,V4), pppp0-{F}(V8,V9,V6,V2,V3,V4) | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #128: exists( #1, #121 ), references = 1, size of lhs = 2:
% 0.13/0.43 pppp5-{F}(V0,V1,V2,V3,V4), pppp2-{F}(V0,V1,V2,V3,V4) | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #132: exists( #8, #130 ), references = 1, size of lhs = 7:
% 0.13/0.43 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), environment-{F}(V3), stable-{F}(V3), pppp4-{F}(V3,V0,V1,V2), P_appear-{F}(V1,V3,V4) | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #140: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #135 ), references = 1, size of lhs = 4:
% 0.13/0.43 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), pppp4-{F}(V3,V0,V1,V2) | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #142: exists( #12, #135 ), references = 1, size of lhs = 3:
% 0.13/0.43 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2) | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #144: exists( #21, #141 ), references = 1, size of lhs = 2:
% 0.13/0.43 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1) | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #146: exists( #20, #143 ), references = 1, size of lhs = 1:
% 0.13/0.43 P_first_movers-{F}(V0) | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #148: exists( #19, #145 ), references = 1, size of lhs = 0:
% 0.13/0.43 FALSE | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 number of learnt formulas = 20
% 0.13/0.43
% 0.13/0.43
% 0.13/0.43 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.43
% 0.13/0.43 randbase = 1
%------------------------------------------------------------------------------