%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : MGT023+2 : TPTP v9.3.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n007.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 06:10:21 AM UTC 2026
% Result : Theorem 0.21s 0.51s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT023+2 : TPTP v9.3.0. Released v2.0.0.
% 0.00/0.04 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.09/0.35 % Computer : n007.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 7 12:05:11 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.21/0.51 GeoParameters:
% 0.21/0.51
% 0.21/0.51 tptp_input = 1
% 0.21/0.51 tptp_output = 0
% 0.21/0.51 nonempty = 1
% 0.21/0.51 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.51 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.21/0.51
% 0.21/0.51
% 0.21/0.51 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.51 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.51
% 0.21/0.51 RuleSystem INPUT:
% 0.21/0.51
% 0.21/0.51 Initial Rules:
% 0.21/0.51 #0: input, references = 5, size of lhs = 4:
% 0.21/0.51 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)
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #1: input, references = 5, size of lhs = 1:
% 0.21/0.51 pppp5-{F}(V0,V1,V2,V3) | EXISTS V4: pppp0-{T}(V0,V1,V4,V2,V3)
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #2: input, references = 5, size of lhs = 1:
% 0.21/0.51 pppp6-{F}(V0,V1,V2) | EXISTS V3: pppp1-{T}(V0,V3,V1,V2)
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #3: input, references = 5, size of lhs = 7:
% 0.21/0.51 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)
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #4: input, references = 5, size of lhs = 4:
% 0.21/0.51 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
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #5: input, references = 7, size of lhs = 3:
% 0.21/0.51 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)
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #6: input, references = 5, size of lhs = 4:
% 0.21/0.51 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
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #7: input, references = 5, size of lhs = 3:
% 0.21/0.51 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)
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #8: input, references = 5, size of lhs = 3:
% 0.21/0.51 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)
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #9: input, references = 5, size of lhs = 8:
% 0.21/0.51 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_growth_rate-{F}(V1,V2,V3), P_growth_rate-{F}(V0,V2,V4), P_critical_point-{F}(V5,V6), environment-{F}(V5), in_environment-{F}(V5,V2), V2 == V6 | greater-{T}(V3,V4), pppp7-{T}(V5,V2,V0,V1)
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #10: input, references = 5, size of lhs = 1:
% 0.21/0.51 pppp7-{F}(V0,V1,V2,V3) | EXISTS V4: pppp2-{T}(V0,V1,V4,V2,V3)
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #11: input, references = 5, size of lhs = 4:
% 0.21/0.51 pppp2-{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
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #12: input, references = 5, size of lhs = 3:
% 0.21/0.51 pppp2-{F}(V0,V1,V2,V3,V4), P_growth_rate-{F}(V4,V2,V5), P_growth_rate-{F}(V3,V2,V6) | greater-{T}(V2,V1)
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #13: input, references = 5, size of lhs = 3:
% 0.21/0.51 pppp2-{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)
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #14: input, references = 5, size of lhs = 4:
% 0.21/0.51 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), environment-{F}(V2), stable-{F}(V2) | EXISTS V3: pppp3-{T}(V2,V3,V0,V1)
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #15: input, references = 5, size of lhs = 5:
% 0.21/0.51 pppp3-{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)
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #16: input, references = 5, size of lhs = 1:
% 0.21/0.51 pppp3-{F}(V0,V1,V2,V3) | in_environment-{T}(V0,V1)
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #17: input, references = 5, size of lhs = 2:
% 0.21/0.51 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1) | EXISTS V2: pppp4-{T}(V2)
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #18: input, references = 5, size of lhs = 3:
% 0.21/0.51 pppp4-{F}(V0), P_critical_point-{F}(V0,V1), in_environment-{F}(V0,V1) | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #19: input, references = 5, size of lhs = 2:
% 0.21/0.51 pppp4-{F}(V0), P_critical_point-{F}(V0,V1) | stable-{T}(V0)
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #20: input, references = 5, size of lhs = 2:
% 0.21/0.51 pppp4-{F}(V0), P_critical_point-{F}(V0,V1) | environment-{T}(V0)
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #21: input, references = 4, size of lhs = 0:
% 0.21/0.51 FALSE | EXISTS V0: P_first_movers-{T}(V0)
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #22: input, references = 4, size of lhs = 0:
% 0.21/0.51 FALSE | EXISTS V0: P_efficient_producers-{T}(V0)
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #23: input, references = 15, size of lhs = 2:
% 0.21/0.51 #-{F} V0, #-{F} V1 | EXISTS V2: P_growth_rate-{T}(V0,V1,V2)
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #24: input, references = 5, size of lhs = 1:
% 0.21/0.51 #-{F} V0 | EXISTS V1: P_critical_point-{T}(V0,V1)
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 number of initial rules = 25
% 0.21/0.51
% 0.21/0.51 Simplifiers:
% 0.21/0.51 #25: unsound, references = 3, size of lhs = 3:
% 0.21/0.51 environment-{F}(V0), environment-{F}(V1), V0 == V1 | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #26: unsound, references = 3, size of lhs = 3:
% 0.21/0.51 in_environment-{F}(V0,V1), in_environment-{F}(V2,V3), V0 == V2 | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #27: unsound, references = 3, size of lhs = 3:
% 0.21/0.51 subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #28: unsound, references = 3, size of lhs = 3:
% 0.21/0.51 subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #29: unsound, references = 3, size of lhs = 3:
% 0.21/0.51 subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #30: unsound, references = 3, size of lhs = 3:
% 0.21/0.51 stable-{F}(V0), stable-{F}(V1), V0 == V1 | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #31: unsound, references = 3, size of lhs = 3:
% 0.21/0.51 P_first_movers-{F}(V0), P_first_movers-{F}(V1), V0 == V1 | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #32: unsound, references = 3, size of lhs = 3:
% 0.21/0.51 P_efficient_producers-{F}(V0), P_efficient_producers-{F}(V1), V0 == V1 | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #33: unsound, references = 3, size of lhs = 3:
% 0.21/0.51 P_growth_rate-{F}(V0,V1,V2), P_growth_rate-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #34: unsound, references = 3, size of lhs = 3:
% 0.21/0.51 P_critical_point-{F}(V0,V1), P_critical_point-{F}(V0,V3), V1 == V3 | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #35: unsound, references = 3, size of lhs = 3:
% 0.21/0.51 pppp0-{F}(V0,V1,V2,V3,V4), pppp0-{F}(V0,V1,V7,V3,V4), V2 == V7 | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #36: unsound, references = 3, size of lhs = 3:
% 0.21/0.51 pppp0-{F}(V0,V1,V2,V3,V4), pppp0-{F}(V5,V6,V7,V8,V9), V3 == V8 | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #37: unsound, references = 3, size of lhs = 3:
% 0.21/0.51 pppp0-{F}(V0,V1,V2,V3,V4), pppp0-{F}(V5,V6,V7,V8,V9), V4 == V9 | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #38: unsound, references = 3, size of lhs = 3:
% 0.21/0.51 pppp0-{F}(V0,V1,V2,V3,V4), pppp0-{F}(V5,V6,V7,V8,V9), V0 == V5 | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #39: unsound, references = 3, size of lhs = 3:
% 0.21/0.51 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #40: unsound, references = 3, size of lhs = 3:
% 0.21/0.51 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #41: unsound, references = 3, size of lhs = 3:
% 0.21/0.51 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #42: unsound, references = 3, size of lhs = 3:
% 0.21/0.51 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #43: unsound, references = 3, size of lhs = 3:
% 0.21/0.51 pppp2-{F}(V0,V1,V2,V3,V4), pppp2-{F}(V0,V1,V7,V3,V4), V2 == V7 | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #44: unsound, references = 3, size of lhs = 3:
% 0.21/0.51 pppp2-{F}(V0,V1,V2,V3,V4), pppp2-{F}(V5,V6,V7,V8,V9), V3 == V8 | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #45: unsound, references = 3, size of lhs = 3:
% 0.21/0.51 pppp2-{F}(V0,V1,V2,V3,V4), pppp2-{F}(V5,V6,V7,V8,V9), V4 == V9 | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #46: unsound, references = 3, size of lhs = 3:
% 0.21/0.51 pppp2-{F}(V0,V1,V2,V3,V4), pppp2-{F}(V5,V6,V7,V8,V9), V0 == V5 | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #47: unsound, references = 3, size of lhs = 3:
% 0.21/0.51 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #48: unsound, references = 3, size of lhs = 3:
% 0.21/0.51 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #49: unsound, references = 3, size of lhs = 3:
% 0.21/0.51 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #50: unsound, references = 3, size of lhs = 3:
% 0.21/0.51 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #51: unsound, references = 3, size of lhs = 3:
% 0.21/0.51 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #52: unsound, references = 3, size of lhs = 3:
% 0.21/0.51 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #53: unsound, references = 3, size of lhs = 3:
% 0.21/0.51 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #54: unsound, references = 3, size of lhs = 3:
% 0.21/0.51 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #55: unsound, references = 3, size of lhs = 3:
% 0.21/0.51 pppp6-{F}(V0,V1,V2), pppp6-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #56: unsound, references = 3, size of lhs = 3:
% 0.21/0.51 pppp6-{F}(V0,V1,V2), pppp6-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #57: unsound, references = 3, size of lhs = 3:
% 0.21/0.51 pppp6-{F}(V0,V1,V2), pppp6-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #58: unsound, references = 3, size of lhs = 3:
% 0.21/0.51 pppp7-{F}(V0,V1,V2,V3), pppp7-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #59: unsound, references = 3, size of lhs = 3:
% 0.21/0.51 pppp7-{F}(V0,V1,V2,V3), pppp7-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #60: unsound, references = 3, size of lhs = 3:
% 0.21/0.51 pppp7-{F}(V0,V1,V2,V3), pppp7-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 number of simplifiers = 36
% 0.21/0.51
% 0.21/0.51 Learnt:
% 0.21/0.51 #74: mergings( V4 == V8, V5 == V6, V6 == V9; #70 ), references = 1, size of lhs = 5:
% 0.21/0.51 pppp1-{F}(V0,V1,V2,V2), P_growth_rate-{F}(V2,V1,V3), pppp2-{F}(V0,V1,V4,V2,V2), pppp2-{F}(V0,V5,V4,V2,V2), pppp2-{F}(V0,V6,V4,V2,V2) | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #77: mergings( V4 == V5; #75 ), references = 1, size of lhs = 3:
% 0.21/0.51 pppp7-{F}(V0,V1,V2,V2), pppp1-{F}(V0,V1,V2,V2), P_growth_rate-{F}(V2,V1,V3) | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #82: mergings( V2 == V3, V3 == V6, V6 == V7; #78 ), references = 2, size of lhs = 8:
% 0.21/0.51 P_first_movers-{F}(V0), P_efficient_producers-{F}(V0), environment-{F}(V1), P_critical_point-{F}(V1,V2), in_environment-{F}(V1,V3), V3 == V2, pppp1-{F}(V1,V3,V0,V0), P_growth_rate-{F}(V0,V3,V4) | greater-{T}(V4,V4)
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #88: mergings( V3 == V5; #86 ), references = 1, size of lhs = 6:
% 0.21/0.51 P_first_movers-{F}(V0), P_efficient_producers-{F}(V0), environment-{F}(V1), P_critical_point-{F}(V1,V2), pppp1-{F}(V1,V3,V0,V0), V3 == V2 | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #90: exists( #2, #86 ), references = 1, size of lhs = 5:
% 0.21/0.51 P_first_movers-{F}(V0), P_efficient_producers-{F}(V0), environment-{F}(V1), pppp6-{F}(V1,V0,V0), P_critical_point-{F}(V1,V2) | pppp1-{T}(V1,V2,V0,V0)
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #95: mergings( V4 == V5; #93 ), references = 1, size of lhs = 7:
% 0.21/0.51 P_first_movers-{F}(V0), P_efficient_producers-{F}(V0), environment-{F}(V1), pppp4-{F}(V1), in_environment-{F}(V1,V2), P_critical_point-{F}(V1,V3), P_growth_rate-{F}(V0,V3,V4) | pppp5-{T}(V1,V2,V0,V0)
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #105: mergings( V3 == V5, V5 == V7; #102 ), references = 1, size of lhs = 4:
% 0.21/0.51 pppp3-{F}(V0,V1,V2,V2), pppp0-{F}(V0,V1,V3,V2,V2), pppp0-{F}(V0,V4,V3,V2,V2), pppp0-{F}(V0,V5,V3,V2,V2) | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #107: exists( #1, #102 ), references = 1, size of lhs = 2:
% 0.21/0.51 pppp5-{F}(V0,V1,V2,V2), pppp3-{F}(V0,V1,V2,V2) | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #110: exists( #23, #108 ), references = 1, size of lhs = 7:
% 0.21/0.51 P_first_movers-{F}(V0), P_efficient_producers-{F}(V0), environment-{F}(V1), pppp4-{F}(V1), in_environment-{F}(V1,V2), pppp3-{F}(V1,V2,V0,V0), P_critical_point-{F}(V1,V3) | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #113: exists( #14, #111 ), references = 2, size of lhs = 6:
% 0.21/0.51 stable-{F}(V0), environment-{F}(V0), pppp4-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V1), P_critical_point-{F}(V0,V2) | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #119: exists( #24, #117 ), references = 1, size of lhs = 3:
% 0.21/0.51 pppp4-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V1) | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #123: mergings( V0 == V3, V1 == V3; #120 ), references = 1, size of lhs = 2:
% 0.21/0.51 P_first_movers-{F}(V0), P_efficient_producers-{F}(V0) | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #126: exists( #23, #124 ), references = 2, size of lhs = 4:
% 0.21/0.51 pppp4-{F}(V0), P_critical_point-{F}(V0,V1), pppp1-{F}(V0,V1,V2,V3), P_growth_rate-{F}(V2,V1,V4) | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #141: mergings( V6 == V7, V3 == V5, V4 == V7, V5 == V14, V10 == V11, V11 == V15; #134 ), references = 2, size of lhs = 7:
% 0.21/0.51 P_growth_rate-{F}(V0,V1,V2), P_growth_rate-{F}(V0,V3,V4), pppp2-{F}(V5,V3,V1,V0,V6), pppp1-{F}(V5,V3,V0,V6), pppp2-{F}(V5,V7,V1,V0,V6), P_growth_rate-{F}(V6,V3,V8), pppp2-{F}(V5,V9,V1,V0,V6) | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #143: exists( #23, #141 ), references = 1, size of lhs = 6:
% 0.21/0.51 P_growth_rate-{F}(V0,V1,V2), pppp1-{F}(V3,V1,V0,V4), pppp2-{F}(V3,V1,V5,V0,V4), pppp2-{F}(V3,V6,V5,V0,V4), P_growth_rate-{F}(V4,V1,V7), pppp2-{F}(V3,V8,V5,V0,V4) | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #145: exists( #10, #142 ), references = 1, size of lhs = 4:
% 0.21/0.51 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
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #149: mergings( V3 == V8, V4 == V7; #146 ), references = 2, size of lhs = 9:
% 0.21/0.51 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), environment-{F}(V2), P_critical_point-{F}(V2,V3), in_environment-{F}(V2,V4), V4 == V3, pppp1-{F}(V2,V4,V0,V1), P_growth_rate-{F}(V0,V4,V5), P_growth_rate-{F}(V1,V4,V6) | greater-{T}(V6,V5)
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #158: mergings( V3 == V7, V6 == V8, V7 == V9, V4 == V10; #153 ), references = 1, size of lhs = 7:
% 0.21/0.51 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), environment-{F}(V2), P_critical_point-{F}(V2,V3), pppp1-{F}(V2,V4,V0,V1), V4 == V3, P_growth_rate-{F}(V0,V4,V5) | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #161: mergings( V4 == V6; #159 ), references = 1, size of lhs = 6:
% 0.21/0.51 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), environment-{F}(V2), P_critical_point-{F}(V2,V3), pppp1-{F}(V2,V4,V0,V1), V4 == V3 | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #163: exists( #2, #159 ), references = 1, size of lhs = 5:
% 0.21/0.51 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), environment-{F}(V2), pppp6-{F}(V2,V0,V1), P_critical_point-{F}(V2,V3) | pppp1-{T}(V2,V3,V0,V1)
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #166: disj( #0, #162+#126 ), references = 1, size of lhs = 7:
% 0.21/0.51 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), environment-{F}(V2), pppp4-{F}(V2), in_environment-{F}(V2,V3), P_critical_point-{F}(V2,V4), P_growth_rate-{F}(V0,V4,V5) | pppp5-{T}(V2,V3,V0,V1)
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #177: mergings( V6 == V7, V3 == V5, V4 == V7, V5 == V8, V9 == V11, V11 == V13; #170 ), references = 2, size of lhs = 5:
% 0.21/0.51 P_growth_rate-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V1,V0,V5), pppp3-{F}(V3,V4,V0,V5), pppp0-{F}(V3,V6,V1,V0,V5), pppp0-{F}(V3,V7,V1,V0,V5) | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #179: exists( #23, #177 ), references = 1, size of lhs = 4:
% 0.21/0.51 pppp3-{F}(V0,V1,V2,V3), pppp0-{F}(V0,V1,V4,V2,V3), pppp0-{F}(V0,V5,V4,V2,V3), pppp0-{F}(V0,V6,V4,V2,V3) | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #181: exists( #1, #178 ), references = 1, size of lhs = 2:
% 0.21/0.51 pppp5-{F}(V0,V1,V2,V3), pppp3-{F}(V0,V1,V2,V3) | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #185: exists( #14, #183 ), references = 2, size of lhs = 7:
% 0.21/0.51 stable-{F}(V0), environment-{F}(V0), pppp4-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), P_critical_point-{F}(V0,V3), P_growth_rate-{F}(V1,V3,V4) | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #189: exists( #23, #185 ), references = 1, size of lhs = 6:
% 0.21/0.51 stable-{F}(V0), environment-{F}(V0), pppp4-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), P_critical_point-{F}(V0,V3) | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #193: exists( #24, #191 ), references = 1, size of lhs = 3:
% 0.21/0.51 pppp4-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2) | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #197: mergings( V0 == V3, V1 == V4; #194 ), references = 1, size of lhs = 2:
% 0.21/0.51 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1) | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #200: mergings( V1 == V2; #198 ), references = 1, size of lhs = 1:
% 0.21/0.51 P_first_movers-{F}(V0) | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 #202: exists( #21, #198 ), references = 1, size of lhs = 0:
% 0.21/0.51 FALSE | FALSE
% 0.21/0.51 (used 0 times, uses = {})
% 0.21/0.51
% 0.21/0.51 number of learnt formulas = 30
% 0.21/0.51
% 0.21/0.51
% 0.21/0.51 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.51
% 0.21/0.51 randbase = 1
%------------------------------------------------------------------------------