TSTP Solution File: MGT039+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : MGT039+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n011.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 06:10:41 EDT 2022
% Result : Theorem 0.19s 0.47s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT039+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jul 22 11:10:51 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.47 GeoParameters:
% 0.19/0.47
% 0.19/0.47 tptp_input = 1
% 0.19/0.47 tptp_output = 0
% 0.19/0.47 nonempty = 1
% 0.19/0.47 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.19/0.47
% 0.19/0.47
% 0.19/0.47 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47
% 0.19/0.47 RuleSystem INPUT:
% 0.19/0.47
% 0.19/0.47 Initial Rules:
% 0.19/0.47 #0: input, references = 4, size of lhs = 5:
% 0.19/0.47 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), propagation_strategy-{F}(V0), propagation_strategy-{F}(V1), observational_period-{F}(V2) | pppp4-{T}(V2,V0,V1), selection_favors-{T}(V1,V0,V2)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #1: input, references = 4, size of lhs = 1:
% 0.19/0.47 pppp4-{F}(V0,V1,V2) | EXISTS V3: pppp1-{T}(V0,V3,V1,V2)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #2: input, references = 7, size of lhs = 3:
% 0.19/0.47 pppp1-{F}(V0,V1,V2,V3), P_end_time-{F}(V1,V4), selection_favors-{F}(V3,V2,V4) | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #3: input, references = 4, size of lhs = 2:
% 0.19/0.47 pppp1-{F}(V0,V1,V2,V3), P_end_time-{F}(V1,V4) | in_environment-{T}(V0,V1)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #4: input, references = 4, size of lhs = 2:
% 0.19/0.47 pppp1-{F}(V0,V1,V2,V3), P_end_time-{F}(V1,V4) | environment-{T}(V1)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #5: input, references = 5, size of lhs = 7:
% 0.19/0.47 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), observational_period-{F}(V2), slow_change-{F}(V2), P_critical_point-{F}(V3,V4), environment-{F}(V3), in_environment-{F}(V2,V3) | EXISTS V5: pppp2-{T}(V3,V5,V4)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #6: input, references = 8, size of lhs = 1:
% 0.19/0.47 pppp2-{F}(V0,V1,V2) | greater-{T}(V1,V2)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #7: input, references = 8, size of lhs = 1:
% 0.19/0.47 pppp2-{F}(V0,V1,V2) | in_environment-{T}(V0,V1)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #8: input, references = 4, size of lhs = 2:
% 0.19/0.47 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1) | propagation_strategy-{T}(V0)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #9: input, references = 4, size of lhs = 2:
% 0.19/0.47 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1) | propagation_strategy-{T}(V1)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #10: input, references = 6, size of lhs = 7:
% 0.19/0.47 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_start_time-{F}(V2,V3), P_end_time-{F}(V2,V4), environment-{F}(V2), greater_or_equal-{F}(V5,V3), greater_or_equal-{F}(V4,V5) | in_environment-{T}(V2,V5)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #11: input, references = 6, size of lhs = 5:
% 0.19/0.47 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_end_time-{F}(V2,V3), environment-{F}(V2), in_environment-{F}(V2,V4) | greater_or_equal-{T}(V3,V4)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #12: input, references = 4, size of lhs = 5:
% 0.19/0.47 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_critical_point-{F}(V2,V3), P_start_time-{F}(V2,V4), environment-{F}(V2) | greater_or_equal-{T}(V3,V4)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #13: input, references = 7, size of lhs = 4:
% 0.19/0.47 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), greater-{F}(V2,V3), greater-{F}(V4,V2) | greater-{T}(V4,V3)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #14: input, references = 7, size of lhs = 3:
% 0.19/0.47 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), greater_or_equal-{F}(V2,V3) | pppp0-{T}(V2,V3)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #15: input, references = 7, size of lhs = 3:
% 0.19/0.47 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), pppp0-{F}(V2,V3) | greater_or_equal-{T}(V2,V3)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #16: input, references = 7, size of lhs = 4:
% 0.19/0.47 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), pppp0-{F}(V2,V3), V2 == V3 | greater-{T}(V2,V3)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #17: input, references = 6, size of lhs = 3:
% 0.19/0.47 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), greater-{F}(V2,V3) | pppp0-{T}(V2,V3)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #18: input, references = 4, size of lhs = 3:
% 0.19/0.47 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), #-{F} V3 | pppp0-{T}(V3,V3)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #19: input, references = 3, size of lhs = 6:
% 0.19/0.47 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_start_time-{F}(V2,V3), P_end_time-{F}(V2,V4), environment-{F}(V2), greater-{F}(V5,V3) | greater-{T}(V5,V4), greater_or_equal-{T}(V4,V5)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #20: input, references = 8, size of lhs = 6:
% 0.19/0.47 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_critical_point-{F}(V3,V4), environment-{F}(V3), in_environment-{F}(V3,V2), greater-{F}(V2,V4) | selection_favors-{T}(V1,V0,V2)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #21: input, references = 4, size of lhs = 2:
% 0.19/0.47 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1) | EXISTS V2: pppp3-{T}(V2,V0,V1)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #22: input, references = 4, size of lhs = 2:
% 0.19/0.47 pppp3-{F}(V0,V1,V2), selection_favors-{F}(V2,V1,V0) | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #23: input, references = 4, size of lhs = 1:
% 0.19/0.47 pppp3-{F}(V0,V1,V2) | slow_change-{T}(V0)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #24: input, references = 4, size of lhs = 1:
% 0.19/0.47 pppp3-{F}(V0,V1,V2) | observational_period-{T}(V0)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #25: input, references = 4, size of lhs = 0:
% 0.19/0.47 FALSE | EXISTS V0: P_first_movers-{T}(V0)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #26: input, references = 4, size of lhs = 0:
% 0.19/0.47 FALSE | EXISTS V0: P_efficient_producers-{T}(V0)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #27: input, references = 4, size of lhs = 1:
% 0.19/0.47 #-{F} V0 | EXISTS V1: P_end_time-{T}(V0,V1)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #28: input, references = 4, size of lhs = 1:
% 0.19/0.47 #-{F} V0 | EXISTS V1: P_critical_point-{T}(V0,V1)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #29: input, references = 4, size of lhs = 1:
% 0.19/0.47 #-{F} V0 | EXISTS V1: P_start_time-{T}(V0,V1)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 number of initial rules = 30
% 0.19/0.47
% 0.19/0.47 Simplifiers:
% 0.19/0.47 #30: unsound, references = 3, size of lhs = 3:
% 0.19/0.47 selection_favors-{F}(V0,V1,V2), selection_favors-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #31: unsound, references = 3, size of lhs = 3:
% 0.19/0.47 selection_favors-{F}(V0,V1,V2), selection_favors-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #32: unsound, references = 3, size of lhs = 3:
% 0.19/0.47 P_first_movers-{F}(V0), P_first_movers-{F}(V1), V0 == V1 | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #33: unsound, references = 3, size of lhs = 3:
% 0.19/0.47 P_efficient_producers-{F}(V0), P_efficient_producers-{F}(V1), V0 == V1 | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #34: unsound, references = 3, size of lhs = 3:
% 0.19/0.47 P_end_time-{F}(V0,V1), P_end_time-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #35: unsound, references = 3, size of lhs = 3:
% 0.19/0.47 P_critical_point-{F}(V0,V1), P_critical_point-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #36: unsound, references = 3, size of lhs = 3:
% 0.19/0.47 P_start_time-{F}(V0,V1), P_start_time-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #37: unsound, references = 3, size of lhs = 3:
% 0.19/0.47 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #38: unsound, references = 3, size of lhs = 3:
% 0.19/0.47 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #39: unsound, references = 3, size of lhs = 3:
% 0.19/0.47 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #40: unsound, references = 3, size of lhs = 3:
% 0.19/0.47 pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #41: unsound, references = 3, size of lhs = 3:
% 0.19/0.47 pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V4,V5), V2 == V5 | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #42: unsound, references = 3, size of lhs = 3:
% 0.19/0.47 pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #43: unsound, references = 3, size of lhs = 3:
% 0.19/0.47 pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #44: unsound, references = 3, size of lhs = 3:
% 0.19/0.47 pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #45: unsound, references = 3, size of lhs = 3:
% 0.19/0.47 pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #46: unsound, references = 3, size of lhs = 3:
% 0.19/0.47 pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 number of simplifiers = 17
% 0.19/0.47
% 0.19/0.47 Learnt:
% 0.19/0.47 #48: disj( #0, input ), references = 1, size of lhs = 6:
% 0.19/0.47 P_first_movers-{F}(V0), propagation_strategy-{F}(V0), P_efficient_producers-{F}(V1), propagation_strategy-{F}(V1), observational_period-{F}(V2), pppp3-{F}(V2,V0,V1) | pppp4-{T}(V2,V0,V1)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #93: mergings( V0 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V1 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22; #75 ), references = 1, size of lhs = 14:
% 0.19/0.47 observational_period-{F}(V0), slow_change-{F}(V0), in_environment-{F}(V0,V1), environment-{F}(V1), P_critical_point-{F}(V1,V2), P_end_time-{F}(V1,V3), P_first_movers-{F}(V4), P_efficient_producers-{F}(V5), pppp3-{F}(V3,V4,V5), environment-{F}(V6), P_start_time-{F}(V6,V2), P_critical_point-{F}(V6,V2), P_end_time-{F}(V6,V7), greater_or_equal-{F}(V7,V3) | pppp2-{T}(V1,V3,V2)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #110: mergings( V0 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V1 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22; #76 ), references = 2, size of lhs = 15:
% 0.19/0.47 observational_period-{F}(V0), slow_change-{F}(V0), in_environment-{F}(V0,V1), environment-{F}(V1), P_critical_point-{F}(V1,V2), P_end_time-{F}(V1,V3), P_first_movers-{F}(V4), P_efficient_producers-{F}(V5), environment-{F}(V6), P_start_time-{F}(V6,V2), P_critical_point-{F}(V6,V2), P_end_time-{F}(V6,V7), greater_or_equal-{F}(V7,V3), P_end_time-{F}(V8,V3), pppp1-{F}(V9,V8,V4,V5) | pppp2-{T}(V1,V3,V2)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #159: mergings( V0 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V1 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24; #140 ), references = 1, size of lhs = 16:
% 0.19/0.47 observational_period-{F}(V0), slow_change-{F}(V0), in_environment-{F}(V0,V1), environment-{F}(V1), P_critical_point-{F}(V1,V2), P_end_time-{F}(V1,V3), P_first_movers-{F}(V4), P_efficient_producers-{F}(V5), environment-{F}(V6), P_critical_point-{F}(V6,V2), P_start_time-{F}(V6,V7), greater-{F}(V2,V7), P_end_time-{F}(V6,V8), greater_or_equal-{F}(V8,V3), P_end_time-{F}(V9,V3), pppp1-{F}(V10,V9,V4,V5) | pppp2-{T}(V1,V3,V2)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #194: mergings( V2 == V5, V5 == V7, V7 == V9, V9 == V13, V13 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V35, V3 == V6, V6 == V8, V8 == V10, V10 == V14, V14 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V36; #167 ), references = 1, size of lhs = 16:
% 0.19/0.47 observational_period-{F}(V0), slow_change-{F}(V0), in_environment-{F}(V0,V1), environment-{F}(V1), P_critical_point-{F}(V1,V2), P_end_time-{F}(V1,V3), environment-{F}(V4), P_critical_point-{F}(V4,V2), P_end_time-{F}(V4,V5), greater_or_equal-{F}(V5,V3), P_end_time-{F}(V6,V3), P_first_movers-{F}(V7), P_efficient_producers-{F}(V8), pppp1-{F}(V9,V6,V7,V8), P_end_time-{F}(V10,V3), pppp1-{F}(V11,V10,V7,V8) | P_start_time-{T}(V4,V2)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #234: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V11, V11 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V32, V32 == V38, V38 == V44, V3 == V5, V5 == V7, V7 == V9, V9 == V12, V12 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V33, V33 == V39, V39 == V45, V13 == V37, V37 == V40, V40 == V41; #200 ), references = 2, size of lhs = 19:
% 0.19/0.47 observational_period-{F}(V0), slow_change-{F}(V0), in_environment-{F}(V0,V1), environment-{F}(V1), observational_period-{F}(V2), slow_change-{F}(V2), in_environment-{F}(V2,V1), P_end_time-{F}(V1,V3), greater_or_equal-{F}(V3,V3), P_end_time-{F}(V4,V3), P_end_time-{F}(V5,V3), P_end_time-{F}(V6,V3), P_first_movers-{F}(V7), P_efficient_producers-{F}(V8), pppp1-{F}(V9,V4,V7,V8), pppp1-{F}(V10,V5,V7,V8), pppp1-{F}(V11,V6,V7,V8), P_end_time-{F}(V12,V3), pppp1-{F}(V13,V12,V7,V8) | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #250: mergings( V2 == V4, V4 == V7, V3 == V5, V5 == V8, V7 == V13, V13 == V16, V8 == V14, V14 == V17; #241 ), references = 1, size of lhs = 10:
% 0.19/0.47 observational_period-{F}(V0), slow_change-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), pppp1-{F}(V0,V3,V1,V2), pppp1-{F}(V4,V3,V1,V2), pppp1-{F}(V5,V3,V1,V2), pppp1-{F}(V6,V3,V1,V2), pppp1-{F}(V7,V3,V1,V2), pppp1-{F}(V8,V3,V1,V2) | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #256: mergings( V4 == V6, V6 == V1, V5 == V7, V7 == V2; #251 ), references = 1, size of lhs = 5:
% 0.19/0.47 observational_period-{F}(V0), slow_change-{F}(V0), P_first_movers-{F}(V1), pppp4-{F}(V0,V1,V2), P_efficient_producers-{F}(V2) | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #265: mergings( V0 == V3, V3 == V5, V1 == V4, V4 == V6; #260 ), references = 2, size of lhs = 4:
% 0.19/0.47 propagation_strategy-{F}(V0), P_first_movers-{F}(V0), propagation_strategy-{F}(V1), P_efficient_producers-{F}(V1) | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #271: mergings( V1 == V2; #269 ), references = 1, size of lhs = 1:
% 0.19/0.47 P_first_movers-{F}(V0) | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #273: exists( #25, #269 ), references = 1, size of lhs = 0:
% 0.19/0.47 FALSE | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 number of learnt formulas = 11
% 0.19/0.47
% 0.19/0.47
% 0.19/0.47 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47
% 0.19/0.47 randbase = 1
%------------------------------------------------------------------------------