TSTP Solution File: MGT027+1 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : MGT027+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n014.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 06:10:36 EDT 2022
% Result : Theorem 0.60s 0.80s
% Output : Refutation 0.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT027+1 : TPTP v8.1.0. Released v2.0.0.
% 0.00/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n014.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 11:17:12 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.60/0.80 GeoParameters:
% 0.60/0.80
% 0.60/0.80 tptp_input = 1
% 0.60/0.80 tptp_output = 0
% 0.60/0.80 nonempty = 1
% 0.60/0.80 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.60/0.80 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.60/0.80
% 0.60/0.80
% 0.60/0.80 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.60/0.80 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.60/0.80
% 0.60/0.80 RuleSystem INPUT:
% 0.60/0.80
% 0.60/0.80 Initial Rules:
% 0.60/0.80 #0: input, references = 4, size of lhs = 5:
% 0.60/0.80 P_first_movers-{F}(V0), P_zero-{F}(V1), environment-{F}(V3), stable-{F}(V3), in_environment-{F}(V3,V2) | pppp4-{T}(V2,V0,V1), contracts_from-{T}(V2,V0)
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #1: input, references = 5, size of lhs = 1:
% 0.60/0.80 pppp4-{F}(V0,V1,V2) | EXISTS V3: pppp1-{T}(V0,V3,V1,V2)
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #2: input, references = 6, size of lhs = 4:
% 0.60/0.80 pppp1-{F}(V0,V1,V2,V3), P_cardinality_at_time-{F}(V2,V1,V4), P_growth_rate-{F}(V2,V1,V5), greater-{F}(V3,V5) | FALSE
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #3: input, references = 11, size of lhs = 3:
% 0.60/0.80 pppp1-{F}(V0,V1,V2,V3), P_cardinality_at_time-{F}(V2,V1,V4), P_growth_rate-{F}(V2,V1,V5) | greater_or_equal-{T}(V1,V0)
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #4: input, references = 10, size of lhs = 3:
% 0.60/0.80 pppp1-{F}(V0,V1,V2,V3), P_cardinality_at_time-{F}(V2,V1,V4), P_growth_rate-{F}(V2,V1,V5) | greater-{T}(V4,V3)
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #5: input, references = 9, size of lhs = 9:
% 0.60/0.80 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), P_cardinality_at_time-{F}(V0,V3,V4), P_cardinality_at_time-{F}(V2,V3,V5), greater-{F}(V4,V1), greater-{F}(V5,V1), environment-{F}(V6), in_environment-{F}(V6,V3) | subpopulations-{T}(V0,V2,V6,V3)
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #6: input, references = 12, size of lhs = 7:
% 0.60/0.80 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), environment-{F}(V3), stable-{F}(V3), in_environment-{F}(V3,V5), greater-{F}(V4,V5) | in_environment-{T}(V3,V4)
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #7: input, references = 5, size of lhs = 6:
% 0.60/0.80 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), P_appear-{F}(V2,V3,V4), environment-{F}(V3), stable-{F}(V3) | in_environment-{T}(V3,V4)
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #8: input, references = 8, size of lhs = 5:
% 0.60/0.80 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), greater-{F}(V3,V4), greater-{F}(V5,V3) | greater-{T}(V5,V4)
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #9: input, references = 8, size of lhs = 4:
% 0.60/0.80 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), greater_or_equal-{F}(V3,V4) | pppp0-{T}(V3,V4)
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #10: input, references = 9, size of lhs = 4:
% 0.60/0.80 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), pppp0-{F}(V3,V4) | greater_or_equal-{T}(V3,V4)
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #11: input, references = 8, size of lhs = 5:
% 0.60/0.80 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), pppp0-{F}(V3,V4), V3 == V4 | greater-{T}(V3,V4)
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #12: input, references = 7, size of lhs = 4:
% 0.60/0.80 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), greater-{F}(V3,V4) | pppp0-{T}(V3,V4)
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #13: input, references = 5, size of lhs = 4:
% 0.60/0.80 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), #-{F} V4 | pppp0-{T}(V4,V4)
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #14: input, references = 5, size of lhs = 8:
% 0.60/0.80 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), P_cardinality_at_time-{F}(V2,V3,V4), P_appear-{F}(V2,V5,V6), environment-{F}(V5), in_environment-{F}(V5,V3), greater_or_equal-{F}(V3,V6) | greater-{T}(V4,V1)
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #15: input, references = 5, size of lhs = 6:
% 0.60/0.80 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), P_appear-{F}(V2,V3,V4), environment-{F}(V3), stable-{F}(V3) | EXISTS V5: pppp2-{T}(V3,V5,V0,V1,V2,V4)
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #16: input, references = 6, size of lhs = 4:
% 0.60/0.80 pppp2-{F}(V0,V1,V2,V3,V4,V5), P_growth_rate-{F}(V2,V6,V7), subpopulations-{F}(V2,V4,V0,V6), greater_or_equal-{F}(V6,V1) | greater-{T}(V3,V7)
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #17: input, references = 5, size of lhs = 1:
% 0.60/0.80 pppp2-{F}(V0,V1,V2,V3,V4,V5) | greater-{T}(V1,V5)
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #18: input, references = 5, size of lhs = 3:
% 0.60/0.80 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2) | EXISTS V3: pppp3-{T}(V3,V0,V2)
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #19: input, references = 4, size of lhs = 4:
% 0.60/0.80 pppp3-{F}(V0,V1,V2), P_appear-{F}(V2,V0,V3), greater-{F}(V4,V3), contracts_from-{F}(V4,V1) | FALSE
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #20: input, references = 5, size of lhs = 2:
% 0.60/0.80 pppp3-{F}(V0,V1,V2), P_appear-{F}(V2,V0,V3) | stable-{T}(V0)
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #21: input, references = 5, size of lhs = 2:
% 0.60/0.80 pppp3-{F}(V0,V1,V2), P_appear-{F}(V2,V0,V3) | environment-{T}(V0)
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #22: input, references = 9, size of lhs = 2:
% 0.60/0.80 #-{F} V0, #-{F} V1 | EXISTS V2: P_cardinality_at_time-{T}(V0,V1,V2)
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #23: input, references = 4, size of lhs = 0:
% 0.60/0.80 FALSE | EXISTS V0: P_first_movers-{T}(V0)
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #24: input, references = 4, size of lhs = 0:
% 0.60/0.80 FALSE | EXISTS V0: P_zero-{T}(V0)
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #25: input, references = 15, size of lhs = 2:
% 0.60/0.80 #-{F} V0, #-{F} V1 | EXISTS V2: P_growth_rate-{T}(V0,V1,V2)
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #26: input, references = 4, size of lhs = 0:
% 0.60/0.80 FALSE | EXISTS V0: P_efficient_producers-{T}(V0)
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #27: input, references = 5, size of lhs = 2:
% 0.60/0.80 #-{F} V0, #-{F} V1 | EXISTS V2: P_appear-{T}(V0,V1,V2)
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 number of initial rules = 28
% 0.60/0.80
% 0.60/0.80 Simplifiers:
% 0.60/0.80 #28: unsound, references = 3, size of lhs = 3:
% 0.60/0.80 contracts_from-{F}(V0,V1), contracts_from-{F}(V2,V3), V1 == V3 | FALSE
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #29: unsound, references = 3, size of lhs = 3:
% 0.60/0.80 subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #30: unsound, references = 3, size of lhs = 3:
% 0.60/0.80 subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #31: unsound, references = 3, size of lhs = 3:
% 0.60/0.80 P_cardinality_at_time-{F}(V0,V1,V2), P_cardinality_at_time-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #32: unsound, references = 3, size of lhs = 3:
% 0.60/0.80 P_first_movers-{F}(V0), P_first_movers-{F}(V1), V0 == V1 | FALSE
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #33: unsound, references = 3, size of lhs = 3:
% 0.60/0.80 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #34: unsound, references = 3, size of lhs = 3:
% 0.60/0.80 P_growth_rate-{F}(V0,V1,V2), P_growth_rate-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #35: unsound, references = 3, size of lhs = 3:
% 0.60/0.80 P_efficient_producers-{F}(V0), P_efficient_producers-{F}(V1), V0 == V1 | FALSE
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #36: unsound, references = 3, size of lhs = 3:
% 0.60/0.80 P_appear-{F}(V0,V1,V2), P_appear-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #37: unsound, references = 3, size of lhs = 3:
% 0.60/0.80 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #38: unsound, references = 3, size of lhs = 3:
% 0.60/0.80 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #39: unsound, references = 3, size of lhs = 3:
% 0.60/0.80 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #40: unsound, references = 3, size of lhs = 3:
% 0.60/0.80 pppp2-{F}(V0,V1,V2,V3,V4,V5), pppp2-{F}(V0,V7,V2,V3,V4,V5), V1 == V7 | FALSE
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #41: unsound, references = 3, size of lhs = 3:
% 0.60/0.80 pppp2-{F}(V0,V1,V2,V3,V4,V5), pppp2-{F}(V6,V7,V8,V9,V10,V11), V2 == V8 | FALSE
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #42: unsound, references = 3, size of lhs = 3:
% 0.60/0.80 pppp2-{F}(V0,V1,V2,V3,V4,V5), pppp2-{F}(V6,V7,V8,V9,V10,V11), V3 == V9 | FALSE
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #43: unsound, references = 3, size of lhs = 3:
% 0.60/0.80 pppp2-{F}(V0,V1,V2,V3,V4,V5), pppp2-{F}(V6,V7,V8,V9,V10,V11), V4 == V10 | FALSE
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #44: unsound, references = 3, size of lhs = 3:
% 0.60/0.80 pppp2-{F}(V0,V1,V2,V3,V4,V5), pppp2-{F}(V0,V7,V8,V9,V4,V11), V5 == V11 | FALSE
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #45: unsound, references = 3, size of lhs = 3:
% 0.60/0.80 pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #46: unsound, references = 3, size of lhs = 3:
% 0.60/0.80 pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #47: unsound, references = 3, size of lhs = 3:
% 0.60/0.80 pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #48: unsound, references = 3, size of lhs = 3:
% 0.60/0.80 pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #49: unsound, references = 3, size of lhs = 3:
% 0.60/0.80 pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 number of simplifiers = 22
% 0.60/0.80
% 0.60/0.80 Learnt:
% 0.60/0.80 #51: disj( #0, input ), references = 3, size of lhs = 8:
% 0.60/0.80 P_first_movers-{F}(V0), P_zero-{F}(V1), environment-{F}(V2), stable-{F}(V2), in_environment-{F}(V2,V3), greater-{F}(V3,V4), pppp3-{F}(V5,V0,V6), P_appear-{F}(V6,V5,V4) | pppp4-{T}(V3,V0,V1)
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #55: exists( #25, #53 ), references = 1, size of lhs = 9:
% 0.60/0.80 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), greater-{F}(V3,V4), contracts_from-{F}(V5,V6), P_cardinality_at_time-{F}(V7,V8,V5), pppp1-{F}(V9,V8,V7,V3), pppp3-{F}(V10,V6,V11), P_appear-{F}(V11,V10,V4) | FALSE
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #73: mergings( V1 == V13, V13 == V17, V3 == V6, V6 == V0, V4 == V7, V7 == V11, V5 == V8, V8 == V12, V11 == V15, V15 == V19; #62 ), references = 1, size of lhs = 13:
% 0.60/0.80 stable-{F}(V0), environment-{F}(V0), in_environment-{F}(V0,V1), P_first_movers-{F}(V2), P_zero-{F}(V3), greater-{F}(V3,V1), P_efficient_producers-{F}(V4), P_cardinality_at_time-{F}(V4,V5,V5), P_cardinality_at_time-{F}(V2,V5,V5), pppp1-{F}(V6,V5,V2,V3), pppp1-{F}(V7,V5,V2,V3), pppp1-{F}(V8,V5,V2,V3), pppp2-{F}(V0,V7,V2,V3,V4,V9) | FALSE
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #99: mergings( V20 == V22, V22 == V24, V3 == V6, V6 == V9, V9 == V12, V12 == V0, V4 == V7, V7 == V10, V10 == V13, V13 == V17, V5 == V8, V8 == V11, V11 == V14, V14 == V18, V21 == V17, V17 == V26; #82 ), references = 1, size of lhs = 14:
% 0.60/0.80 stable-{F}(V0), environment-{F}(V0), in_environment-{F}(V0,V1), P_first_movers-{F}(V2), P_zero-{F}(V3), P_efficient_producers-{F}(V4), greater-{F}(V5,V1), pppp1-{F}(V5,V6,V2,V3), V6 == V5, P_cardinality_at_time-{F}(V4,V6,V7), P_cardinality_at_time-{F}(V2,V6,V7), pppp1-{F}(V8,V6,V2,V3), pppp1-{F}(V9,V6,V2,V3), pppp2-{F}(V0,V5,V2,V3,V4,V10) | FALSE
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #115: mergings( V3 == V6, V6 == V9, V9 == V12, V12 == V0, V4 == V7, V7 == V10, V10 == V13, V13 == V17, V5 == V8, V8 == V11, V11 == V14, V14 == V0, V19 == V17, V17 == V22; #100 ), references = 1, size of lhs = 12:
% 0.60/0.80 stable-{F}(V0), environment-{F}(V0), in_environment-{F}(V0,V1), P_first_movers-{F}(V2), P_efficient_producers-{F}(V2), P_zero-{F}(V3), greater-{F}(V4,V1), pppp1-{F}(V4,V5,V2,V3), V5 == V4, pppp1-{F}(V6,V5,V2,V3), pppp1-{F}(V7,V5,V2,V3), pppp2-{F}(V0,V4,V2,V3,V2,V8) | FALSE
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #129: mergings( V4 == V7, V7 == V10, V10 == V13, V13 == V1, V5 == V8, V8 == V11, V11 == V14, V14 == V2, V6 == V9, V9 == V12, V12 == V15, V15 == V1; #116 ), references = 2, size of lhs = 9:
% 0.60/0.80 stable-{F}(V0), environment-{F}(V0), in_environment-{F}(V0,V1), P_first_movers-{F}(V2), P_efficient_producers-{F}(V2), P_zero-{F}(V3), pppp4-{F}(V4,V2,V3), greater-{F}(V4,V1), pppp2-{F}(V0,V4,V2,V3,V2,V5) | pppp1-{T}(V4,V4,V2,V3)
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #141: exists( #25, #138 ), references = 4, size of lhs = 5:
% 0.60/0.80 greater_or_equal-{F}(V0,V1), P_cardinality_at_time-{F}(V2,V0,V3), subpopulations-{F}(V2,V4,V5,V0), pppp1-{F}(V6,V0,V2,V7), pppp2-{F}(V5,V1,V2,V7,V4,V8) | FALSE
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #146: mergings( V3 == V0; #144 ), references = 1, size of lhs = 12:
% 0.60/0.80 environment-{F}(V0), in_environment-{F}(V0,V1), greater_or_equal-{F}(V1,V2), P_first_movers-{F}(V3), P_appear-{F}(V3,V0,V2), P_efficient_producers-{F}(V3), P_zero-{F}(V4), environment-{F}(V5), in_environment-{F}(V5,V1), greater_or_equal-{F}(V1,V6), pppp1-{F}(V7,V1,V3,V8), pppp2-{F}(V5,V6,V3,V8,V3,V9) | FALSE
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #173: mergings( V5 == V8, V8 == V11, V11 == V14, V14 == V17, V17 == V20, V20 == V0, V6 == V9, V9 == V12, V12 == V15, V15 == V18, V18 == V1, V1 == V21, V7 == V10, V10 == V13, V13 == V16, V16 == V19, V19 == V0; #155 ), references = 2, size of lhs = 9:
% 0.60/0.80 stable-{F}(V0), environment-{F}(V0), in_environment-{F}(V0,V1), P_first_movers-{F}(V2), P_appear-{F}(V2,V0,V1), P_efficient_producers-{F}(V2), P_zero-{F}(V3), pppp3-{F}(V4,V2,V5), P_appear-{F}(V5,V4,V1) | FALSE
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #185: mergings( V3 == V0, V4 == V5, V0 == V6, V6 == V7; #180 ), references = 1, size of lhs = 4:
% 0.60/0.80 P_first_movers-{F}(V0), P_efficient_producers-{F}(V0), P_zero-{F}(V1), pppp3-{F}(V2,V0,V0) | FALSE
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #190: mergings( V3 == V0, V1 == V4, V4 == V5; #186 ), references = 1, size of lhs = 3:
% 0.60/0.80 P_first_movers-{F}(V0), P_efficient_producers-{F}(V0), P_zero-{F}(V1) | FALSE
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #204: mergings( V9 == V11, V3 == V6; #201 ), references = 4, size of lhs = 14:
% 0.60/0.80 environment-{F}(V0), in_environment-{F}(V0,V1), greater_or_equal-{F}(V1,V2), P_first_movers-{F}(V3), P_zero-{F}(V4), P_efficient_producers-{F}(V5), P_appear-{F}(V5,V0,V2), environment-{F}(V6), in_environment-{F}(V6,V1), greater_or_equal-{F}(V1,V7), P_cardinality_at_time-{F}(V3,V1,V8), greater-{F}(V8,V4), pppp1-{F}(V9,V1,V3,V10), pppp2-{F}(V6,V7,V3,V10,V5,V11) | FALSE
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #227: mergings( V18 == V19, V21 == V22, V3 == V6, V6 == V9, V9 == V14, V14 == V15, V4 == V7, V7 == V10, V10 == V16, V5 == V8, V8 == V11, V11 == V17, V0 == V15, V19 == V22, V20 == V24, V24 == V26; #210 ), references = 2, size of lhs = 14:
% 0.60/0.80 stable-{F}(V0), environment-{F}(V0), in_environment-{F}(V0,V1), P_first_movers-{F}(V2), P_zero-{F}(V3), P_efficient_producers-{F}(V4), P_appear-{F}(V4,V0,V1), greater-{F}(V5,V3), P_cardinality_at_time-{F}(V2,V6,V5), V6 == V1, pppp1-{F}(V1,V6,V2,V7), pppp1-{F}(V8,V6,V2,V7), pppp1-{F}(V9,V6,V2,V7), pppp2-{F}(V0,V8,V2,V7,V4,V10) | FALSE
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #232: mergings( V5 == V0, V10 == V6; #229 ), references = 1, size of lhs = 15:
% 0.60/0.80 stable-{F}(V0), environment-{F}(V0), in_environment-{F}(V0,V1), P_first_movers-{F}(V2), P_zero-{F}(V3), P_efficient_producers-{F}(V4), P_appear-{F}(V4,V0,V1), pppp1-{F}(V1,V5,V2,V3), V5 == V1, P_cardinality_at_time-{F}(V2,V5,V6), pppp1-{F}(V7,V5,V2,V3), pppp1-{F}(V8,V5,V2,V3), pppp2-{F}(V0,V7,V2,V3,V4,V9), P_cardinality_at_time-{F}(V2,V10,V6), pppp1-{F}(V11,V10,V2,V3) | FALSE
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #235: mergings( V7 == V5; #233 ), references = 1, size of lhs = 13:
% 0.60/0.80 stable-{F}(V0), environment-{F}(V0), in_environment-{F}(V0,V1), P_first_movers-{F}(V2), P_zero-{F}(V3), P_efficient_producers-{F}(V4), P_appear-{F}(V4,V0,V1), pppp1-{F}(V1,V5,V2,V3), V5 == V1, pppp1-{F}(V6,V5,V2,V3), pppp1-{F}(V7,V5,V2,V3), pppp2-{F}(V0,V6,V2,V3,V4,V8), pppp1-{F}(V9,V5,V2,V3) | FALSE
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #261: mergings( V1 == V16, V3 == V6, V6 == V11, V11 == V14, V4 == V7, V7 == V10, V10 == V12, V5 == V8, V8 == V13, V13 == V15, V0 == V14, V12 == V18, V18 == V21; #247 ), references = 1, size of lhs = 12:
% 0.60/0.80 stable-{F}(V0), environment-{F}(V0), in_environment-{F}(V0,V1), P_zero-{F}(V1), P_first_movers-{F}(V2), P_efficient_producers-{F}(V3), P_appear-{F}(V3,V0,V1), P_cardinality_at_time-{F}(V2,V4,V4), pppp1-{F}(V5,V4,V2,V1), pppp1-{F}(V6,V4,V2,V1), pppp1-{F}(V7,V4,V2,V1), pppp2-{F}(V0,V6,V2,V1,V3,V8) | FALSE
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #285: mergings( V20 == V21, V3 == V6, V6 == V9, V9 == V12, V12 == V17, V4 == V7, V7 == V10, V10 == V13, V13 == V18, V5 == V8, V8 == V11, V11 == V14, V14 == V19, V0 == V17, V21 == V23, V22 == V25; #268 ), references = 1, size of lhs = 14:
% 0.60/0.80 stable-{F}(V0), environment-{F}(V0), in_environment-{F}(V0,V1), P_first_movers-{F}(V2), P_zero-{F}(V3), greater-{F}(V1,V3), P_efficient_producers-{F}(V4), P_cardinality_at_time-{F}(V4,V5,V5), V5 == V1, pppp1-{F}(V1,V5,V2,V6), P_cardinality_at_time-{F}(V2,V5,V7), greater-{F}(V7,V3), pppp1-{F}(V8,V5,V2,V6), pppp2-{F}(V0,V1,V2,V6,V4,V9) | FALSE
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #305: mergings( V17 == V19, V3 == V6, V6 == V9, V9 == V14, V4 == V7, V7 == V10, V10 == V15, V5 == V8, V8 == V11, V11 == V16, V0 == V14, V19 == V21, V20 == V23; #291 ), references = 1, size of lhs = 14:
% 0.60/0.80 stable-{F}(V0), environment-{F}(V0), in_environment-{F}(V0,V1), P_first_movers-{F}(V2), P_zero-{F}(V3), P_efficient_producers-{F}(V4), greater-{F}(V5,V3), P_cardinality_at_time-{F}(V2,V6,V5), V6 == V1, P_cardinality_at_time-{F}(V4,V6,V7), greater-{F}(V7,V3), pppp1-{F}(V1,V6,V2,V8), pppp1-{F}(V9,V6,V2,V8), pppp2-{F}(V0,V1,V2,V8,V4,V10) | FALSE
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #335: mergings( V3 == V6, V6 == V9, V9 == V12, V12 == V18, V18 == V21, V21 == V24, V4 == V7, V7 == V10, V10 == V13, V13 == V19, V19 == V22, V22 == V25, V5 == V8, V8 == V11, V11 == V14, V14 == V20, V20 == V23, V23 == V26, V0 == V24, V27 == V29, V28 == V31; #313 ), references = 2, size of lhs = 14:
% 0.60/0.80 stable-{F}(V0), environment-{F}(V0), in_environment-{F}(V0,V1), greater-{F}(V1,V2), P_first_movers-{F}(V3), P_zero-{F}(V4), P_efficient_producers-{F}(V5), P_appear-{F}(V5,V0,V2), greater-{F}(V6,V4), P_cardinality_at_time-{F}(V3,V7,V6), V7 == V1, pppp1-{F}(V1,V7,V3,V8), pppp1-{F}(V9,V7,V3,V8), pppp2-{F}(V0,V1,V3,V8,V5,V10) | FALSE
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #340: mergings( V6 == V0, V11 == V7; #337 ), references = 1, size of lhs = 15:
% 0.60/0.80 stable-{F}(V0), environment-{F}(V0), in_environment-{F}(V0,V1), greater-{F}(V1,V2), P_first_movers-{F}(V3), P_zero-{F}(V4), P_efficient_producers-{F}(V5), P_appear-{F}(V5,V0,V2), pppp1-{F}(V1,V6,V3,V4), V6 == V1, P_cardinality_at_time-{F}(V3,V6,V7), pppp1-{F}(V8,V6,V3,V4), pppp2-{F}(V0,V1,V3,V4,V5,V9), P_cardinality_at_time-{F}(V3,V10,V7), pppp1-{F}(V11,V10,V3,V4) | FALSE
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #343: mergings( V8 == V6; #341 ), references = 1, size of lhs = 13:
% 0.60/0.80 stable-{F}(V0), environment-{F}(V0), in_environment-{F}(V0,V1), greater-{F}(V1,V2), P_first_movers-{F}(V3), P_zero-{F}(V4), P_efficient_producers-{F}(V5), P_appear-{F}(V5,V0,V2), pppp1-{F}(V1,V6,V3,V4), V6 == V1, pppp1-{F}(V7,V6,V3,V4), pppp2-{F}(V0,V1,V3,V4,V5,V8), pppp1-{F}(V9,V6,V3,V4) | FALSE
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #345: exists( #1, #341 ), references = 2, size of lhs = 10:
% 0.60/0.80 stable-{F}(V0), environment-{F}(V0), in_environment-{F}(V0,V1), greater-{F}(V1,V2), P_first_movers-{F}(V3), pppp4-{F}(V1,V3,V4), P_zero-{F}(V4), P_efficient_producers-{F}(V5), P_appear-{F}(V5,V0,V2), pppp2-{F}(V0,V1,V3,V4,V5,V6) | pppp1-{T}(V1,V1,V3,V4)
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #357: mergings( V0 == V6, V7 == V14; #354 ), references = 1, size of lhs = 15:
% 0.60/0.80 environment-{F}(V0), in_environment-{F}(V0,V1), greater_or_equal-{F}(V1,V2), P_first_movers-{F}(V3), P_zero-{F}(V4), P_efficient_producers-{F}(V5), P_appear-{F}(V5,V0,V2), environment-{F}(V6), in_environment-{F}(V6,V1), greater_or_equal-{F}(V1,V7), P_cardinality_at_time-{F}(V3,V1,V8), P_cardinality_at_time-{F}(V3,V9,V8), pppp1-{F}(V10,V9,V3,V4), pppp1-{F}(V11,V1,V3,V4), pppp2-{F}(V6,V7,V3,V4,V5,V12) | FALSE
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #360: mergings( V5 == V11; #358 ), references = 1, size of lhs = 13:
% 0.60/0.80 environment-{F}(V0), in_environment-{F}(V0,V1), greater_or_equal-{F}(V1,V2), P_first_movers-{F}(V3), P_zero-{F}(V4), P_efficient_producers-{F}(V5), P_appear-{F}(V5,V0,V2), environment-{F}(V6), in_environment-{F}(V6,V1), greater_or_equal-{F}(V1,V7), pppp1-{F}(V8,V1,V3,V4), pppp1-{F}(V9,V1,V3,V4), pppp2-{F}(V6,V7,V3,V4,V5,V10) | FALSE
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #385: mergings( V6 == V9, V9 == V12, V12 == V15, V15 == V18, V18 == V0, V7 == V10, V10 == V13, V13 == V16, V16 == V19, V19 == V1, V8 == V11, V11 == V14, V14 == V17, V17 == V20, V20 == V2; #369 ), references = 2, size of lhs = 9:
% 0.60/0.80 stable-{F}(V0), environment-{F}(V0), in_environment-{F}(V0,V1), P_first_movers-{F}(V2), P_zero-{F}(V3), P_efficient_producers-{F}(V4), P_appear-{F}(V4,V0,V1), pppp3-{F}(V5,V2,V6), P_appear-{F}(V6,V5,V1) | FALSE
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #397: mergings( V3 == V5, V4 == V6, V5 == V7, V7 == V8; #392 ), references = 1, size of lhs = 4:
% 0.60/0.80 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), pppp3-{F}(V3,V0,V2) | FALSE
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #402: mergings( V4 == V0, V1 == V5, V5 == V6; #398 ), references = 1, size of lhs = 3:
% 0.60/0.80 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2) | FALSE
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #407: mergings( V2 == V4, V1 == V3, V3 == V5; #403 ), references = 1, size of lhs = 2:
% 0.60/0.80 P_first_movers-{F}(V0), P_zero-{F}(V1) | FALSE
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #410: mergings( V1 == V2; #408 ), references = 1, size of lhs = 1:
% 0.60/0.80 P_first_movers-{F}(V0) | FALSE
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 #412: exists( #23, #408 ), references = 1, size of lhs = 0:
% 0.60/0.80 FALSE | FALSE
% 0.60/0.80 (used 0 times, uses = {})
% 0.60/0.80
% 0.60/0.80 number of learnt formulas = 30
% 0.60/0.80
% 0.60/0.80
% 0.60/0.80 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.60/0.80
% 0.60/0.80 randbase = 1
%------------------------------------------------------------------------------