TSTP Solution File: MGT036+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : MGT036+3 : 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 06:10:39 EDT 2022
% Result : Theorem 0.12s 0.37s
% Output : Refutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT036+3 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jul 22 11:11:06 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.37 GeoParameters:
% 0.12/0.37
% 0.12/0.37 tptp_input = 1
% 0.12/0.37 tptp_output = 0
% 0.12/0.37 nonempty = 1
% 0.12/0.37 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.12/0.37
% 0.12/0.37
% 0.12/0.37 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37
% 0.12/0.37 RuleSystem INPUT:
% 0.12/0.37
% 0.12/0.37 Initial Rules:
% 0.12/0.37 #0: input, references = 4, size of lhs = 2:
% 0.12/0.37 environment-{F}(V0), subpopulations-{F}(V3,V2,V0,V1) | subpopulations-{T}(V2,V3,V0,V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #1: input, references = 5, size of lhs = 3:
% 0.12/0.37 pppp0-{F}(V0,V1,V2), environment-{F}(V3), subpopulations-{F}(V0,V1,V3,V2) | outcompetes-{T}(V1,V0,V2)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #2: input, references = 3, size of lhs = 3:
% 0.12/0.37 outcompetes-{F}(V1,V0,V2), environment-{F}(V3), subpopulations-{F}(V0,V1,V3,V2) | pppp0-{T}(V0,V1,V2)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #3: input, references = 3, size of lhs = 4:
% 0.12/0.37 P_zero-{F}(V0), P_growth_rate-{F}(V2,V3,V4), P_growth_rate-{F}(V1,V3,V5), pppp0-{F}(V1,V2,V3) | greater_or_equal-{T}(V4,V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #4: input, references = 3, size of lhs = 4:
% 0.12/0.37 P_zero-{F}(V0), P_growth_rate-{F}(V2,V3,V4), P_growth_rate-{F}(V1,V3,V5), pppp0-{F}(V1,V2,V3) | greater-{T}(V0,V5)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #5: input, references = 5, size of lhs = 5:
% 0.12/0.37 P_zero-{F}(V0), P_growth_rate-{F}(V2,V3,V4), P_growth_rate-{F}(V1,V3,V5), greater_or_equal-{F}(V4,V0), greater-{F}(V0,V5) | pppp0-{T}(V1,V2,V3)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #6: input, references = 5, size of lhs = 3:
% 0.12/0.37 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2) | EXISTS V3: pppp2-{T}(V3,V0,V1,V2)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #7: input, references = 5, size of lhs = 3:
% 0.12/0.37 pppp2-{F}(V0,V1,V2,V3), P_growth_rate-{F}(V2,V0,V4), P_growth_rate-{F}(V3,V0,V5) | EXISTS V6: pppp1-{T}(V6,V0,V2,V3)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #8: input, references = 5, size of lhs = 3:
% 0.12/0.37 pppp2-{F}(V0,V1,V2,V3), P_growth_rate-{F}(V2,V0,V4), P_growth_rate-{F}(V3,V0,V5) | greater-{T}(V1,V5)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #9: input, references = 5, size of lhs = 3:
% 0.12/0.37 pppp2-{F}(V0,V1,V2,V3), P_growth_rate-{F}(V2,V0,V4), P_growth_rate-{F}(V3,V0,V5) | greater_or_equal-{T}(V4,V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #10: input, references = 5, size of lhs = 1:
% 0.12/0.37 pppp1-{F}(V0,V1,V2,V3) | subpopulations-{T}(V2,V3,V0,V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #11: input, references = 5, size of lhs = 1:
% 0.12/0.37 pppp1-{F}(V0,V1,V2,V3) | environment-{T}(V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #12: input, references = 5, size of lhs = 6:
% 0.12/0.37 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), outcompetes-{F}(V1,V2,V3), environment-{F}(V4), subpopulations-{F}(V1,V2,V4,V3) | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #13: input, references = 6, size of lhs = 2:
% 0.12/0.37 #-{F} V0, #-{F} V1 | EXISTS V2: P_growth_rate-{T}(V0,V1,V2)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #14: input, references = 4, size of lhs = 0:
% 0.12/0.37 FALSE | EXISTS V0: P_zero-{T}(V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #15: input, references = 4, size of lhs = 0:
% 0.12/0.37 FALSE | EXISTS V0: P_first_movers-{T}(V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #16: input, references = 4, size of lhs = 0:
% 0.12/0.37 FALSE | EXISTS V0: P_efficient_producers-{T}(V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 number of initial rules = 17
% 0.12/0.37
% 0.12/0.37 Simplifiers:
% 0.12/0.37 #17: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 greater_or_equal-{F}(V0,V1), greater_or_equal-{F}(V2,V3), V1 == V3 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #18: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 greater-{F}(V0,V1), greater-{F}(V2,V3), V0 == V2 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #19: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 P_growth_rate-{F}(V0,V1,V2), P_growth_rate-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #20: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #21: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 P_first_movers-{F}(V0), P_first_movers-{F}(V1), V0 == V1 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #22: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 P_efficient_producers-{F}(V0), P_efficient_producers-{F}(V1), V0 == V1 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #23: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #24: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #25: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #26: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #27: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #28: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #29: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 number of simplifiers = 13
% 0.12/0.37
% 0.12/0.37 Learnt:
% 0.12/0.37 #35: mergings( V3 == V4; #33 ), references = 1, size of lhs = 6:
% 0.12/0.37 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V1), pppp0-{F}(V1,V1,V2), pppp2-{F}(V2,V3,V1,V1), P_growth_rate-{F}(V1,V2,V4) | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #42: mergings( V3 == V4, V4 == V5; #39 ), references = 1, size of lhs = 4:
% 0.12/0.37 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V1), pppp2-{F}(V2,V0,V1,V1) | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #45: mergings( V0 == V3; #43 ), references = 1, size of lhs = 3:
% 0.12/0.37 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V1) | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #51: exists( #7, #49 ), references = 1, size of lhs = 7:
% 0.12/0.37 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), pppp0-{F}(V2,V1,V3), pppp2-{F}(V3,V4,V1,V2), P_growth_rate-{F}(V1,V3,V5), P_growth_rate-{F}(V2,V3,V6) | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #62: mergings( V6 == V8, V3 == V4, V7 == V4, V5 == V9, V9 == V10, V8 == V11; #55 ), references = 1, size of lhs = 5:
% 0.12/0.37 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), pppp2-{F}(V3,V0,V1,V2), P_growth_rate-{F}(V1,V3,V4) | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #66: mergings( V3 == V4, V4 == V6; #63 ), references = 1, size of lhs = 4:
% 0.12/0.37 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), pppp2-{F}(V3,V0,V1,V2) | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #69: mergings( V0 == V4; #67 ), references = 1, size of lhs = 3:
% 0.12/0.37 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2) | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #72: mergings( V1 == V2; #70 ), references = 1, size of lhs = 2:
% 0.12/0.37 P_zero-{F}(V0), P_first_movers-{F}(V1) | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #75: mergings( V1 == V2; #73 ), references = 1, size of lhs = 1:
% 0.12/0.37 P_zero-{F}(V0) | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #77: exists( #14, #73 ), references = 1, size of lhs = 0:
% 0.12/0.37 FALSE | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 number of learnt formulas = 10
% 0.12/0.37
% 0.12/0.37
% 0.12/0.37 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37
% 0.12/0.37 randbase = 1
%------------------------------------------------------------------------------