TSTP Solution File: MGT020+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : MGT020+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n020.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 06:10:33 EDT 2022
% Result : Theorem 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT020+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n020.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 11:18:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.51 GeoParameters:
% 0.18/0.51
% 0.18/0.51 tptp_input = 1
% 0.18/0.51 tptp_output = 0
% 0.18/0.51 nonempty = 1
% 0.18/0.51 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.51 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.18/0.51
% 0.18/0.51
% 0.18/0.51 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.51 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.51
% 0.18/0.51 RuleSystem INPUT:
% 0.18/0.51
% 0.18/0.51 Initial Rules:
% 0.18/0.51 #0: input, references = 4, size of lhs = 8:
% 0.18/0.51 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
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #1: input, references = 6, size of lhs = 5:
% 0.18/0.51 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)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #2: input, references = 10, size of lhs = 5:
% 0.18/0.51 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)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #3: input, references = 4, size of lhs = 14:
% 0.18/0.51 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)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #4: input, references = 5, size of lhs = 4:
% 0.18/0.51 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), environment-{F}(V2), subpopulations-{F}(V0,V1,V2,V3) | in_environment-{T}(V2,V3)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #5: input, references = 6, size of lhs = 5:
% 0.18/0.51 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)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #6: input, references = 6, size of lhs = 7:
% 0.18/0.51 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)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #7: input, references = 3, size of lhs = 4:
% 0.18/0.51 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), greater-{F}(V2,V3), greater-{F}(V4,V2) | greater-{T}(V4,V3)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #8: input, references = 5, size of lhs = 4:
% 0.18/0.51 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), greater_or_equal-{F}(V2,V3), V2 == V3 | greater-{T}(V2,V3)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #9: input, references = 5, size of lhs = 6:
% 0.18/0.51 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)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #10: input, references = 3, size of lhs = 7:
% 0.18/0.51 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)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #11: input, references = 5, size of lhs = 2:
% 0.18/0.51 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1) | EXISTS V2: pppp1-{T}(V2,V0,V1)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #12: input, references = 5, size of lhs = 3:
% 0.18/0.51 pppp1-{F}(V0,V1,V2), P_disbanding_rate-{F}(V1,V0,V3), P_disbanding_rate-{F}(V2,V0,V4) | EXISTS V5: pppp0-{T}(V5,V0,V1,V2)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #13: input, references = 3, size of lhs = 4:
% 0.18/0.51 pppp1-{F}(V0,V1,V2), P_disbanding_rate-{F}(V1,V0,V3), P_disbanding_rate-{F}(V2,V0,V4), greater-{F}(V3,V4) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #14: input, references = 5, size of lhs = 1:
% 0.18/0.51 pppp0-{F}(V0,V1,V2,V3) | subpopulations-{T}(V2,V3,V0,V1)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #15: input, references = 5, size of lhs = 1:
% 0.18/0.51 pppp0-{F}(V0,V1,V2,V3) | environment-{T}(V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #16: input, references = 4, size of lhs = 0:
% 0.18/0.51 FALSE | EXISTS V0: P_first_movers-{T}(V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #17: input, references = 4, size of lhs = 0:
% 0.18/0.51 FALSE | EXISTS V0: P_efficient_producers-{T}(V0)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #18: input, references = 4, size of lhs = 2:
% 0.18/0.51 #-{F} V0, #-{F} V1 | EXISTS V2: P_difference-{T}(V0,V1,V2)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #19: input, references = 9, size of lhs = 2:
% 0.18/0.51 #-{F} V0, #-{F} V1 | EXISTS V2: P_disbanding_rate-{T}(V0,V1,V2)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #20: input, references = 5, size of lhs = 1:
% 0.18/0.51 #-{F} V0 | EXISTS V1: P_initial_FM_EP-{T}(V0,V1)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #21: input, references = 5, size of lhs = 1:
% 0.18/0.51 #-{F} V0 | EXISTS V1: P_start_time-{T}(V0,V1)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 number of initial rules = 22
% 0.18/0.51
% 0.18/0.51 Simplifiers:
% 0.18/0.51 #22: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #23: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #24: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 P_difference-{F}(V0,V1,V2), P_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #25: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 P_disbanding_rate-{F}(V0,V1,V2), P_disbanding_rate-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #26: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 P_first_movers-{F}(V0), P_first_movers-{F}(V1), V0 == V1 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #27: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 P_efficient_producers-{F}(V0), P_efficient_producers-{F}(V1), V0 == V1 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #28: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 P_initial_FM_EP-{F}(V0,V1), P_initial_FM_EP-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #29: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 P_start_time-{F}(V0,V1), P_start_time-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #30: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #31: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V4,V5,V2,V3), V1 == V5 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #32: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #33: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #34: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 pppp1-{F}(V0,V1,V2), pppp1-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #35: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 pppp1-{F}(V0,V1,V2), pppp1-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #36: unsound, references = 3, size of lhs = 3:
% 0.18/0.51 pppp1-{F}(V0,V1,V2), pppp1-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 number of simplifiers = 15
% 0.18/0.51
% 0.18/0.51 Learnt:
% 0.18/0.51 #40: disj( #3, input ), references = 2, size of lhs = 17:
% 0.18/0.51 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), P_disbanding_rate-{F}(V13,V14,V4), pppp1-{F}(V14,V13,V15), P_disbanding_rate-{F}(V15,V14,V5) | decreases-{T}(V9)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #47: mergings( V3 == V13, V4 == V14; #44 ), references = 3, size of lhs = 20:
% 0.18/0.51 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), environment-{F}(V12), subpopulations-{F}(V1,V2,V12,V13), P_disbanding_rate-{F}(V1,V13,V7), P_disbanding_rate-{F}(V2,V13,V8), P_disbanding_rate-{F}(V14,V15,V4), pppp1-{F}(V15,V14,V16), P_disbanding_rate-{F}(V16,V15,V5) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #51: mergings( V6 == V7; #49 ), references = 2, size of lhs = 14:
% 0.18/0.51 environment-{F}(V0), P_initial_FM_EP-{F}(V0,V1), greater_or_equal-{F}(V1,V1), environment-{F}(V2), P_first_movers-{F}(V3), P_efficient_producers-{F}(V3), subpopulations-{F}(V3,V3,V2,V4), greater_or_equal-{F}(V4,V1), P_disbanding_rate-{F}(V3,V4,V5), environment-{F}(V6), subpopulations-{F}(V3,V3,V6,V1), P_disbanding_rate-{F}(V7,V8,V5), pppp1-{F}(V8,V7,V9), P_disbanding_rate-{F}(V9,V8,V5) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #62: mergings( V11 == V12, V2 == V5, V5 == V9, V3 == V6, V6 == V9; #56 ), references = 1, size of lhs = 15:
% 0.18/0.51 environment-{F}(V0), P_initial_FM_EP-{F}(V0,V1), environment-{F}(V2), P_first_movers-{F}(V3), P_efficient_producers-{F}(V3), subpopulations-{F}(V3,V3,V2,V4), greater_or_equal-{F}(V4,V1), P_disbanding_rate-{F}(V3,V4,V5), environment-{F}(V6), P_initial_FM_EP-{F}(V6,V1), in_environment-{F}(V6,V7), greater-{F}(V7,V1), P_disbanding_rate-{F}(V8,V9,V5), pppp1-{F}(V9,V8,V10), P_disbanding_rate-{F}(V10,V9,V5) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #75: mergings( V12 == V2, V2 == V3, V13 == V14, V5 == V7, V7 == V9, V9 == V3, V6 == V8, V8 == V10, V10 == V3; #65 ), references = 1, size of lhs = 11:
% 0.18/0.51 environment-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V1), subpopulations-{F}(V1,V1,V0,V2), P_disbanding_rate-{F}(V1,V2,V3), environment-{F}(V4), subpopulations-{F}(V1,V1,V4,V2), in_environment-{F}(V4,V2), P_disbanding_rate-{F}(V5,V6,V3), pppp1-{F}(V6,V5,V7), P_disbanding_rate-{F}(V7,V6,V3) | P_initial_FM_EP-{T}(V4,V2)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #111: mergings( V2 == V3, V3 == V11, V11 == V12, V12 == V13, V5 == V7, V7 == V9, V9 == V1, V6 == V8, V8 == V10, V10 == V1, V1 == V14, V14 == V17, V17 == V16, V0 == V15, V16 == V19, V15 == V18; #92 ), references = 1, size of lhs = 4:
% 0.18/0.51 P_first_movers-{F}(V0), P_efficient_producers-{F}(V0), pppp1-{F}(V1,V0,V0), P_disbanding_rate-{F}(V0,V1,V2) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #120: mergings( V3 == V5, V5 == V7, V7 == V0, V4 == V6, V6 == V8, V8 == V0; #112 ), references = 1, size of lhs = 3:
% 0.18/0.51 P_first_movers-{F}(V0), P_efficient_producers-{F}(V0), pppp1-{F}(V1,V0,V0) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #129: mergings( V2 == V4, V4 == V6, V6 == V0, V3 == V5, V5 == V7, V7 == V0; #121 ), references = 1, size of lhs = 2:
% 0.18/0.51 P_first_movers-{F}(V0), P_efficient_producers-{F}(V0) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #140: mergings( V5 == V11, V3 == V7; #137 ), references = 3, size of lhs = 16:
% 0.18/0.51 environment-{F}(V0), P_initial_FM_EP-{F}(V0,V1), greater_or_equal-{F}(V1,V1), environment-{F}(V2), P_first_movers-{F}(V3), P_efficient_producers-{F}(V4), subpopulations-{F}(V3,V4,V2,V5), greater_or_equal-{F}(V5,V1), P_disbanding_rate-{F}(V3,V5,V6), P_disbanding_rate-{F}(V4,V5,V7), environment-{F}(V8), subpopulations-{F}(V3,V4,V8,V1), P_disbanding_rate-{F}(V4,V1,V9), P_disbanding_rate-{F}(V10,V11,V6), pppp1-{F}(V11,V10,V12), P_disbanding_rate-{F}(V12,V11,V7) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #163: mergings( V2 == V5, V5 == V9, V3 == V6, V6 == V10; #157 ), references = 2, size of lhs = 17:
% 0.18/0.51 environment-{F}(V0), P_initial_FM_EP-{F}(V0,V1), environment-{F}(V2), P_first_movers-{F}(V3), P_efficient_producers-{F}(V4), subpopulations-{F}(V3,V4,V2,V5), greater_or_equal-{F}(V5,V1), P_disbanding_rate-{F}(V3,V5,V6), P_disbanding_rate-{F}(V4,V5,V7), environment-{F}(V8), P_initial_FM_EP-{F}(V8,V1), in_environment-{F}(V8,V9), greater-{F}(V9,V1), P_disbanding_rate-{F}(V4,V1,V10), P_disbanding_rate-{F}(V11,V12,V6), pppp1-{F}(V12,V11,V13), P_disbanding_rate-{F}(V13,V12,V7) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #171: mergings( V2 == V5, V5 == V8, V3 == V6, V6 == V9, V4 == V14, V15 == V17, V16 == V18; #158 ), references = 1, size of lhs = 17:
% 0.18/0.51 environment-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), subpopulations-{F}(V1,V2,V0,V3), greater_or_equal-{F}(V3,V4), P_disbanding_rate-{F}(V1,V3,V5), P_disbanding_rate-{F}(V2,V3,V6), environment-{F}(V7), P_initial_FM_EP-{F}(V7,V4), in_environment-{F}(V7,V8), greater-{F}(V8,V4), P_disbanding_rate-{F}(V1,V4,V9), greater-{F}(V9,V10), P_disbanding_rate-{F}(V2,V4,V10), P_disbanding_rate-{F}(V11,V12,V5), pppp1-{F}(V12,V11,V13), P_disbanding_rate-{F}(V13,V12,V6) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #178: exists( #19, #163 ), references = 1, size of lhs = 16:
% 0.18/0.51 environment-{F}(V0), P_initial_FM_EP-{F}(V0,V1), environment-{F}(V2), P_first_movers-{F}(V3), P_efficient_producers-{F}(V4), subpopulations-{F}(V3,V4,V2,V5), greater_or_equal-{F}(V5,V1), P_disbanding_rate-{F}(V3,V5,V6), P_disbanding_rate-{F}(V4,V5,V7), environment-{F}(V8), P_initial_FM_EP-{F}(V8,V1), in_environment-{F}(V8,V9), greater-{F}(V9,V1), P_disbanding_rate-{F}(V10,V11,V6), pppp1-{F}(V11,V10,V12), P_disbanding_rate-{F}(V12,V11,V7) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #186: mergings( V8 == V2, V9 == V3, V5 == V2, V6 == V3; #181 ), references = 1, size of lhs = 12:
% 0.18/0.51 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), environment-{F}(V6), subpopulations-{F}(V1,V2,V6,V3), in_environment-{F}(V6,V3), P_disbanding_rate-{F}(V7,V8,V4), pppp1-{F}(V8,V7,V9), P_disbanding_rate-{F}(V9,V8,V5) | P_initial_FM_EP-{T}(V6,V3)
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #219: mergings( V3 == V8, V4 == V9, V8 == V10, V9 == V11, V11 == V12, V6 == V1, V7 == V2, V1 == V13, V13 == V16, V2 == V15, V0 == V14, V15 == V18, V14 == V17; #203 ), references = 1, size of lhs = 5:
% 0.18/0.51 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), pppp1-{F}(V2,V0,V1), P_disbanding_rate-{F}(V0,V2,V3), P_disbanding_rate-{F}(V1,V2,V4) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #229: mergings( V6 == V7, V7 == V8, V3 == V5, V4 == V0, V5 == V9, V9 == V10; #220 ), references = 2, size of lhs = 4:
% 0.18/0.51 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), pppp1-{F}(V2,V0,V1), P_disbanding_rate-{F}(V0,V2,V3) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #232: exists( #19, #229 ), references = 1, size of lhs = 3:
% 0.18/0.51 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), pppp1-{F}(V2,V0,V1) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #234: exists( #11, #230 ), references = 1, size of lhs = 2:
% 0.18/0.51 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #236: exists( #17, #233 ), references = 1, size of lhs = 1:
% 0.18/0.51 P_first_movers-{F}(V0) | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 #238: exists( #16, #235 ), references = 1, size of lhs = 0:
% 0.18/0.51 FALSE | FALSE
% 0.18/0.51 (used 0 times, uses = {})
% 0.18/0.51
% 0.18/0.51 number of learnt formulas = 19
% 0.18/0.51
% 0.18/0.51
% 0.18/0.51 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.51
% 0.18/0.51 randbase = 1
%------------------------------------------------------------------------------