%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : MGT020-1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n019.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 06:10:20 AM UTC 2026
% Result : Unsatisfiable 0.22s 0.54s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT020-1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.03 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.11/0.37 % Computer : n019.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 7 12:01:22 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.22/0.54 GeoParameters:
% 0.22/0.54
% 0.22/0.54 tptp_input = 1
% 0.22/0.54 tptp_output = 0
% 0.22/0.54 nonempty = 1
% 0.22/0.54 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.54 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.22/0.54
% 0.22/0.54
% 0.22/0.54 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.54 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.54
% 0.22/0.54 RuleSystem INPUT:
% 0.22/0.54
% 0.22/0.54 Initial Rules:
% 0.22/0.54 #0: input, references = 3, size of lhs = 8:
% 0.22/0.54 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_disbanding_rate-{F}(V0,V2,V3), P_disbanding_rate-{F}(V1,V2,V4), P_difference-{F}(V3,V4,V5), decreases-{F}(V5), environment-{F}(V6), subpopulations-{F}(V0,V1,V6,V2) | FALSE
% 0.22/0.54 (used 0 times, uses = {})
% 0.22/0.54
% 0.22/0.54 #1: input, references = 5, size of lhs = 5:
% 0.22/0.54 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_initial_FM_EP-{F}(V2,V3), environment-{F}(V2), in_environment-{F}(V2,V3) | subpopulations-{T}(V0,V1,V2,V3)
% 0.22/0.54 (used 0 times, uses = {})
% 0.22/0.54
% 0.22/0.54 #2: input, references = 8, size of lhs = 5:
% 0.22/0.54 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_initial_FM_EP-{F}(V2,V3), environment-{F}(V2), subpopulations-{F}(V0,V1,V2,V4) | greater_or_equal-{T}(V4,V3)
% 0.22/0.54 (used 0 times, uses = {})
% 0.22/0.54
% 0.22/0.54 #3: input, references = 4, size of lhs = 14:
% 0.22/0.54 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_disbanding_rate-{F}(V0,V2,V3), P_disbanding_rate-{F}(V1,V2,V4), environment-{F}(V5), subpopulations-{F}(V0,V1,V5,V2), P_disbanding_rate-{F}(V0,V6,V7), P_disbanding_rate-{F}(V1,V6,V8), P_difference-{F}(V7,V8,V9), greater_or_equal-{F}(V2,V6), P_disbanding_rate-{F}(V0,V10,V11), P_disbanding_rate-{F}(V1,V10,V12), greater_or_equal-{F}(V6,V10), greater-{F}(V11,V12) | greater-{T}(V3,V4), decreases-{T}(V9)
% 0.22/0.54 (used 0 times, uses = {})
% 0.22/0.54
% 0.22/0.54 #4: input, references = 5, size of lhs = 4:
% 0.22/0.54 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), environment-{F}(V2), subpopulations-{F}(V0,V1,V2,V3) | in_environment-{T}(V2,V3)
% 0.22/0.54 (used 0 times, uses = {})
% 0.22/0.54
% 0.22/0.54 #5: input, references = 5, size of lhs = 5:
% 0.22/0.54 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_initial_FM_EP-{F}(V2,V3), P_start_time-{F}(V2,V4), environment-{F}(V2) | greater_or_equal-{T}(V3,V4)
% 0.22/0.54 (used 0 times, uses = {})
% 0.22/0.54
% 0.22/0.54 #6: input, references = 5, size of lhs = 7:
% 0.22/0.54 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_start_time-{F}(V2,V3), environment-{F}(V2), greater_or_equal-{F}(V4,V3), greater-{F}(V5,V4), in_environment-{F}(V2,V5) | in_environment-{T}(V2,V4)
% 0.22/0.54 (used 0 times, uses = {})
% 0.22/0.54
% 0.22/0.54 #7: input, references = 3, size of lhs = 4:
% 0.22/0.54 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), greater-{F}(V2,V3), greater-{F}(V4,V2) | greater-{T}(V4,V3)
% 0.22/0.54 (used 0 times, uses = {})
% 0.22/0.54
% 0.22/0.54 #8: input, references = 5, size of lhs = 4:
% 0.22/0.54 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), greater_or_equal-{F}(V2,V3), V2 == V3 | greater-{T}(V2,V3)
% 0.22/0.54 (used 0 times, uses = {})
% 0.22/0.54
% 0.22/0.54 #9: input, references = 6, size of lhs = 6:
% 0.22/0.54 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_initial_FM_EP-{F}(V2,V3), P_disbanding_rate-{F}(V0,V3,V4), P_disbanding_rate-{F}(V1,V3,V5), environment-{F}(V2) | greater-{T}(V4,V5)
% 0.22/0.54 (used 0 times, uses = {})
% 0.22/0.54
% 0.22/0.54 #10: input, references = 3, size of lhs = 7:
% 0.22/0.54 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), environment-{F}(V2), subpopulations-{F}(V0,V1,V2,V4), greater_or_equal-{F}(V3,V4), subpopulations-{F}(V0,V1,V2,V5), greater_or_equal-{F}(V5,V3) | subpopulations-{T}(V0,V1,V2,V3)
% 0.22/0.54 (used 0 times, uses = {})
% 0.22/0.54
% 0.22/0.54 #11: input, references = 5, size of lhs = 3:
% 0.22/0.54 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_sk1-{F}(V2) | environment-{T}(V2)
% 0.22/0.54 (used 0 times, uses = {})
% 0.22/0.54
% 0.22/0.54 #12: input, references = 5, size of lhs = 4:
% 0.22/0.54 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_sk1-{F}(V2), P_sk2-{F}(V3) | subpopulations-{T}(V0,V1,V2,V3)
% 0.22/0.54 (used 0 times, uses = {})
% 0.22/0.54
% 0.22/0.54 #13: input, references = 5, size of lhs = 7:
% 0.22/0.54 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_sk1-{F}(V2), P_sk2-{F}(V3), P_disbanding_rate-{F}(V0,V3,V4), P_disbanding_rate-{F}(V1,V3,V5), greater-{F}(V4,V5) | FALSE
% 0.22/0.54 (used 0 times, uses = {})
% 0.22/0.54
% 0.22/0.54 #14: input, references = 4, size of lhs = 0:
% 0.22/0.54 FALSE | EXISTS V0: P_first_movers-{T}(V0)
% 0.22/0.54 (used 0 times, uses = {})
% 0.22/0.54
% 0.22/0.54 #15: input, references = 4, size of lhs = 0:
% 0.22/0.54 FALSE | EXISTS V0: P_efficient_producers-{T}(V0)
% 0.22/0.54 (used 0 times, uses = {})
% 0.22/0.54
% 0.22/0.54 #16: input, references = 4, size of lhs = 2:
% 0.22/0.54 #-{F} V0, #-{F} V1 | EXISTS V2: P_difference-{T}(V0,V1,V2)
% 0.22/0.54 (used 0 times, uses = {})
% 0.22/0.54
% 0.22/0.54 #17: input, references = 11, size of lhs = 2:
% 0.22/0.54 #-{F} V0, #-{F} V1 | EXISTS V2: P_disbanding_rate-{T}(V0,V1,V2)
% 0.22/0.54 (used 0 times, uses = {})
% 0.22/0.54
% 0.22/0.54 #18: input, references = 5, size of lhs = 1:
% 0.22/0.54 #-{F} V0 | EXISTS V1: P_initial_FM_EP-{T}(V0,V1)
% 0.22/0.54 (used 0 times, uses = {})
% 0.22/0.54
% 0.22/0.54 #19: input, references = 5, size of lhs = 1:
% 0.22/0.54 #-{F} V0 | EXISTS V1: P_start_time-{T}(V0,V1)
% 0.22/0.54 (used 0 times, uses = {})
% 0.22/0.54
% 0.22/0.54 #20: input, references = 5, size of lhs = 0:
% 0.22/0.54 FALSE | EXISTS V0: P_sk1-{T}(V0)
% 0.22/0.54 (used 0 times, uses = {})
% 0.22/0.54
% 0.22/0.54 #21: input, references = 5, size of lhs = 0:
% 0.22/0.54 FALSE | EXISTS V0: P_sk2-{T}(V0)
% 0.22/0.54 (used 0 times, uses = {})
% 0.22/0.54
% 0.22/0.54 number of initial rules = 22
% 0.22/0.54
% 0.22/0.54 Simplifiers:
% 0.22/0.54 #22: unsound, references = 3, size of lhs = 3:
% 0.22/0.54 environment-{F}(V0), environment-{F}(V1), V0 == V1 | FALSE
% 0.22/0.54 (used 0 times, uses = {})
% 0.22/0.54
% 0.22/0.54 #23: unsound, references = 3, size of lhs = 3:
% 0.22/0.54 subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.22/0.54 (used 0 times, uses = {})
% 0.22/0.54
% 0.22/0.54 #24: unsound, references = 3, size of lhs = 3:
% 0.22/0.54 subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.22/0.54 (used 0 times, uses = {})
% 0.22/0.54
% 0.22/0.54 #25: unsound, references = 3, size of lhs = 3:
% 0.22/0.54 subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.22/0.54 (used 0 times, uses = {})
% 0.22/0.54
% 0.22/0.54 #26: unsound, references = 3, size of lhs = 3:
% 0.22/0.54 in_environment-{F}(V0,V1), in_environment-{F}(V2,V3), V0 == V2 | FALSE
% 0.22/0.54 (used 0 times, uses = {})
% 0.22/0.54
% 0.22/0.54 #27: unsound, references = 3, size of lhs = 3:
% 0.22/0.54 P_difference-{F}(V0,V1,V2), P_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.22/0.54 (used 0 times, uses = {})
% 0.22/0.54
% 0.22/0.54 #28: unsound, references = 3, size of lhs = 3:
% 0.22/0.54 P_disbanding_rate-{F}(V0,V1,V2), P_disbanding_rate-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.22/0.54 (used 0 times, uses = {})
% 0.22/0.54
% 0.22/0.54 #29: unsound, references = 3, size of lhs = 3:
% 0.22/0.54 P_first_movers-{F}(V0), P_first_movers-{F}(V1), V0 == V1 | FALSE
% 0.22/0.54 (used 0 times, uses = {})
% 0.22/0.54
% 0.22/0.54 #30: unsound, references = 3, size of lhs = 3:
% 0.22/0.54 P_efficient_producers-{F}(V0), P_efficient_producers-{F}(V1), V0 == V1 | FALSE
% 0.22/0.54 (used 0 times, uses = {})
% 0.22/0.54
% 0.22/0.54 #31: unsound, references = 3, size of lhs = 3:
% 0.22/0.54 P_initial_FM_EP-{F}(V0,V1), P_initial_FM_EP-{F}(V0,V3), V1 == V3 | FALSE
% 0.22/0.54 (used 0 times, uses = {})
% 0.22/0.54
% 0.22/0.54 #32: unsound, references = 3, size of lhs = 3:
% 0.22/0.54 P_start_time-{F}(V0,V1), P_start_time-{F}(V0,V3), V1 == V3 | FALSE
% 0.22/0.54 (used 0 times, uses = {})
% 0.22/0.54
% 0.22/0.54 #33: unsound, references = 3, size of lhs = 3:
% 0.22/0.54 P_sk1-{F}(V0), P_sk1-{F}(V1), V0 == V1 | FALSE
% 0.22/0.54 (used 0 times, uses = {})
% 0.22/0.54
% 0.22/0.54 #34: unsound, references = 3, size of lhs = 3:
% 0.22/0.54 P_sk2-{F}(V0), P_sk2-{F}(V1), V0 == V1 | FALSE
% 0.22/0.54 (used 0 times, uses = {})
% 0.22/0.54
% 0.22/0.54 number of simplifiers = 13
% 0.22/0.54
% 0.22/0.54 Learnt:
% 0.22/0.54 #37: exists( #17, #35 ), references = 2, size of lhs = 6:
% 0.22/0.54 environment-{F}(V0), P_initial_FM_EP-{F}(V0,V1), P_sk2-{F}(V1), P_first_movers-{F}(V2), P_efficient_producers-{F}(V2), P_sk1-{F}(V3) | FALSE
% 0.22/0.54 (used 0 times, uses = {})
% 0.22/0.54
% 0.22/0.54 #42: mergings( V5 == V18, V0 == V13, V1 == V14; #38 ), references = 2, size of lhs = 18:
% 0.22/0.54 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), environment-{F}(V2), subpopulations-{F}(V0,V1,V2,V3), P_disbanding_rate-{F}(V0,V3,V4), P_disbanding_rate-{F}(V1,V3,V5), greater_or_equal-{F}(V3,V6), P_disbanding_rate-{F}(V0,V6,V7), P_disbanding_rate-{F}(V1,V6,V8), P_difference-{F}(V7,V8,V9), greater_or_equal-{F}(V6,V10), P_disbanding_rate-{F}(V0,V10,V11), P_disbanding_rate-{F}(V1,V10,V12), greater-{F}(V11,V12), subpopulations-{F}(V0,V1,V2,V13), P_disbanding_rate-{F}(V0,V13,V14), P_disbanding_rate-{F}(V1,V13,V15), P_difference-{F}(V14,V15,V9) | greater-{T}(V4,V5)
% 0.22/0.54 (used 0 times, uses = {})
% 0.22/0.54
% 0.22/0.54 #50: mergings( V3 == V14, V4 == V15; #47 ), references = 3, size of lhs = 20:
% 0.22/0.54 environment-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), subpopulations-{F}(V1,V2,V0,V3), P_disbanding_rate-{F}(V1,V3,V4), P_disbanding_rate-{F}(V2,V3,V5), greater_or_equal-{F}(V3,V6), P_disbanding_rate-{F}(V1,V6,V7), P_disbanding_rate-{F}(V2,V6,V8), greater_or_equal-{F}(V6,V9), P_disbanding_rate-{F}(V1,V9,V10), P_disbanding_rate-{F}(V2,V9,V11), greater-{F}(V10,V11), subpopulations-{F}(V1,V2,V0,V12), P_disbanding_rate-{F}(V1,V12,V7), P_disbanding_rate-{F}(V2,V12,V8), P_sk1-{F}(V13), P_sk2-{F}(V14), P_disbanding_rate-{F}(V1,V14,V4), P_disbanding_rate-{F}(V2,V14,V5) | FALSE
% 0.22/0.54 (used 0 times, uses = {})
% 0.22/0.54
% 0.22/0.54 #55: mergings( V3 == V4, V6 == V7; #52 ), references = 1, size of lhs = 12:
% 0.22/0.54 environment-{F}(V0), P_initial_FM_EP-{F}(V0,V1), greater_or_equal-{F}(V1,V1), P_first_movers-{F}(V2), P_efficient_producers-{F}(V2), subpopulations-{F}(V2,V2,V0,V1), subpopulations-{F}(V2,V2,V0,V3), greater_or_equal-{F}(V3,V1), P_disbanding_rate-{F}(V2,V3,V4), P_sk1-{F}(V5), P_sk2-{F}(V6), P_disbanding_rate-{F}(V2,V6,V4) | FALSE
% 0.22/0.54 (used 0 times, uses = {})
% 0.22/0.54
% 0.22/0.54 #58: mergings( V3 == V5; #56 ), references = 2, size of lhs = 10:
% 0.22/0.54 environment-{F}(V0), P_initial_FM_EP-{F}(V0,V1), greater_or_equal-{F}(V1,V1), P_first_movers-{F}(V2), P_efficient_producers-{F}(V2), subpopulations-{F}(V2,V2,V0,V1), subpopulations-{F}(V2,V2,V0,V3), greater_or_equal-{F}(V3,V1), P_sk2-{F}(V3), P_sk1-{F}(V4) | FALSE
% 0.22/0.54 (used 0 times, uses = {})
% 0.22/0.54
% 0.22/0.54 #71: mergings( V2 == V5, V5 == V8, V3 == V6, V6 == V8; #66 ), references = 1, size of lhs = 10:
% 0.22/0.54 environment-{F}(V0), P_initial_FM_EP-{F}(V0,V1), in_environment-{F}(V0,V2), greater-{F}(V2,V1), P_first_movers-{F}(V3), P_efficient_producers-{F}(V3), subpopulations-{F}(V3,V3,V0,V4), greater_or_equal-{F}(V4,V1), P_sk2-{F}(V4), P_sk1-{F}(V5) | FALSE
% 0.22/0.54 (used 0 times, uses = {})
% 0.22/0.54
% 0.22/0.54 #83: mergings( V2 == V11, V3 == V11, V5 == V7, V7 == V9, V9 == V11, V6 == V8, V8 == V10, V10 == V11; #74 ), references = 1, size of lhs = 7:
% 0.22/0.54 P_sk2-{F}(V0), environment-{F}(V1), in_environment-{F}(V1,V0), P_first_movers-{F}(V2), P_efficient_producers-{F}(V2), subpopulations-{F}(V2,V2,V1,V0), P_sk1-{F}(V3) | P_initial_FM_EP-{T}(V1,V0)
% 0.22/0.54 (used 0 times, uses = {})
% 0.22/0.54
% 0.22/0.54 #97: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V10, V3 == V5, V5 == V7, V7 == V10, V1 == V9, V9 == V11; #87 ), references = 1, size of lhs = 4:
% 0.22/0.54 environment-{F}(V0), P_sk1-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V1) | FALSE
% 0.22/0.54 (used 0 times, uses = {})
% 0.22/0.54
% 0.22/0.54 #109: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V10, V2 == V4, V4 == V6, V6 == V8, V8 == V10; #99 ), references = 1, size of lhs = 2:
% 0.22/0.54 P_first_movers-{F}(V0), P_efficient_producers-{F}(V0) | FALSE
% 0.22/0.54 (used 0 times, uses = {})
% 0.22/0.54
% 0.22/0.54 #115: mergings( V4 == V6, V5 == V11, V3 == V7; #111 ), references = 1, size of lhs = 15:
% 0.22/0.54 environment-{F}(V0), P_initial_FM_EP-{F}(V0,V1), greater_or_equal-{F}(V1,V1), P_first_movers-{F}(V2), P_efficient_producers-{F}(V3), subpopulations-{F}(V2,V3,V0,V1), subpopulations-{F}(V2,V3,V0,V4), greater_or_equal-{F}(V4,V1), P_disbanding_rate-{F}(V2,V4,V5), P_disbanding_rate-{F}(V3,V4,V6), P_disbanding_rate-{F}(V2,V1,V7), P_sk1-{F}(V8), P_sk2-{F}(V9), P_disbanding_rate-{F}(V2,V9,V5), P_disbanding_rate-{F}(V3,V9,V6) | FALSE
% 0.22/0.54 (used 0 times, uses = {})
% 0.22/0.54
% 0.22/0.54 #120: mergings( V4 == V7, V6 == V10, V3 == V8; #116 ), references = 2, size of lhs = 12:
% 0.22/0.54 environment-{F}(V0), P_initial_FM_EP-{F}(V0,V1), greater_or_equal-{F}(V1,V1), P_first_movers-{F}(V2), P_efficient_producers-{F}(V3), subpopulations-{F}(V2,V3,V0,V1), subpopulations-{F}(V2,V3,V0,V4), greater_or_equal-{F}(V4,V1), P_sk2-{F}(V4), P_disbanding_rate-{F}(V2,V1,V5), P_sk1-{F}(V6), P_disbanding_rate-{F}(V2,V4,V7) | FALSE
% 0.22/0.54 (used 0 times, uses = {})
% 0.22/0.54
% 0.22/0.54 #125: mergings( V4 == V7, V6 == V9, V3 == V0; #121 ), references = 3, size of lhs = 11:
% 0.22/0.54 environment-{F}(V0), P_initial_FM_EP-{F}(V0,V1), greater_or_equal-{F}(V1,V1), P_first_movers-{F}(V2), P_efficient_producers-{F}(V3), subpopulations-{F}(V2,V3,V0,V1), subpopulations-{F}(V2,V3,V0,V4), greater_or_equal-{F}(V4,V1), P_sk2-{F}(V4), P_disbanding_rate-{F}(V2,V1,V5), P_sk1-{F}(V6) | FALSE
% 0.22/0.54 (used 0 times, uses = {})
% 0.22/0.54
% 0.22/0.54 #138: mergings( V2 == V5, V5 == V8, V3 == V6, V6 == V9; #133 ), references = 1, size of lhs = 11:
% 0.22/0.54 environment-{F}(V0), P_initial_FM_EP-{F}(V0,V1), in_environment-{F}(V0,V2), greater-{F}(V2,V1), P_first_movers-{F}(V3), P_efficient_producers-{F}(V4), subpopulations-{F}(V3,V4,V0,V5), greater_or_equal-{F}(V5,V1), P_sk2-{F}(V5), P_disbanding_rate-{F}(V3,V1,V6), P_sk1-{F}(V7) | FALSE
% 0.22/0.54 (used 0 times, uses = {})
% 0.22/0.54
% 0.22/0.54 #144: mergings( V3 == V5, V5 == V0, V4 == V6, V6 == V9; #139 ), references = 1, size of lhs = 10:
% 0.22/0.54 environment-{F}(V0), P_initial_FM_EP-{F}(V0,V1), in_environment-{F}(V0,V2), greater-{F}(V2,V1), P_first_movers-{F}(V3), P_efficient_producers-{F}(V4), subpopulations-{F}(V3,V4,V0,V5), greater_or_equal-{F}(V5,V1), P_sk2-{F}(V5), P_sk1-{F}(V6) | FALSE
% 0.22/0.54 (used 0 times, uses = {})
% 0.22/0.54
% 0.22/0.54 #156: mergings( V2 == V11, V3 == V12, V5 == V7, V7 == V9, V9 == V11, V6 == V8, V8 == V10, V10 == V12; #147 ), references = 1, size of lhs = 7:
% 0.22/0.54 P_sk2-{F}(V0), environment-{F}(V1), in_environment-{F}(V1,V0), P_first_movers-{F}(V2), P_efficient_producers-{F}(V3), subpopulations-{F}(V2,V3,V1,V0), P_sk1-{F}(V4) | P_initial_FM_EP-{T}(V1,V0)
% 0.22/0.54 (used 0 times, uses = {})
% 0.22/0.54
% 0.22/0.54 #159: exists( #17, #120 ), references = 1, size of lhs = 8:
% 0.22/0.54 environment-{F}(V0), P_initial_FM_EP-{F}(V0,V1), greater_or_equal-{F}(V1,V1), P_sk2-{F}(V1), P_first_movers-{F}(V2), P_efficient_producers-{F}(V3), subpopulations-{F}(V2,V3,V0,V1), P_sk1-{F}(V4) | FALSE
% 0.22/0.54 (used 0 times, uses = {})
% 0.22/0.54
% 0.22/0.54 #160: exists( #17, #125 ), references = 1, size of lhs = 10:
% 0.22/0.54 environment-{F}(V0), P_initial_FM_EP-{F}(V0,V1), greater_or_equal-{F}(V1,V1), P_first_movers-{F}(V2), P_efficient_producers-{F}(V3), subpopulations-{F}(V2,V3,V0,V1), subpopulations-{F}(V2,V3,V0,V4), greater_or_equal-{F}(V4,V1), P_sk2-{F}(V4), P_sk1-{F}(V5) | FALSE
% 0.22/0.54 (used 0 times, uses = {})
% 0.22/0.54
% 0.22/0.54 #179: mergings( V2 == V4, V4 == V6, V6 == V9, V3 == V5, V5 == V7, V7 == V10, V1 == V8, V8 == V11; #169 ), references = 1, size of lhs = 4:
% 0.22/0.54 environment-{F}(V0), P_sk1-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2) | FALSE
% 0.22/0.54 (used 0 times, uses = {})
% 0.22/0.54
% 0.22/0.54 #192: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V9, V2 == V4, V4 == V6, V6 == V8, V8 == V10; #182 ), references = 1, size of lhs = 2:
% 0.22/0.54 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1) | FALSE
% 0.22/0.54 (used 0 times, uses = {})
% 0.22/0.54
% 0.22/0.54 #199: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5; #193 ), references = 1, size of lhs = 1:
% 0.22/0.54 P_first_movers-{F}(V0) | FALSE
% 0.22/0.54 (used 0 times, uses = {})
% 0.22/0.54
% 0.22/0.54 #202: exists( #14, #193 ), references = 1, size of lhs = 0:
% 0.22/0.54 FALSE | FALSE
% 0.22/0.54 (used 0 times, uses = {})
% 0.22/0.54
% 0.22/0.54 number of learnt formulas = 21
% 0.22/0.54
% 0.22/0.54
% 0.22/0.54 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.54
% 0.22/0.54 randbase = 1
%------------------------------------------------------------------------------