TSTP Solution File: MGT036-3 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : MGT036-3 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n018.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 : Unsatisfiable 0.13s 0.36s
% Output : Refutation 0.13s
% 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 v2.4.0.
% 0.07/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n018.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 11:18:41 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.36 GeoParameters:
% 0.13/0.36
% 0.13/0.36 tptp_input = 1
% 0.13/0.36 tptp_output = 0
% 0.13/0.36 nonempty = 1
% 0.13/0.36 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.13/0.36
% 0.13/0.36
% 0.13/0.36 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36
% 0.13/0.36 RuleSystem INPUT:
% 0.13/0.36
% 0.13/0.36 Initial Rules:
% 0.13/0.36 #0: input, references = 4, size of lhs = 2:
% 0.13/0.36 environment-{F}(V0), subpopulations-{F}(V3,V2,V0,V1) | subpopulations-{T}(V2,V3,V0,V1)
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #1: input, references = 4, size of lhs = 7:
% 0.13/0.36 P_zero-{F}(V0), P_growth_rate-{F}(V1,V2,V3), greater_or_equal-{F}(V3,V0), P_growth_rate-{F}(V4,V2,V5), greater-{F}(V0,V5), environment-{F}(V6), subpopulations-{F}(V4,V1,V6,V2) | outcompetes-{T}(V1,V4,V2)
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #2: input, references = 3, size of lhs = 5:
% 0.13/0.36 P_zero-{F}(V0), P_growth_rate-{F}(V1,V2,V3), outcompetes-{F}(V1,V4,V2), environment-{F}(V5), subpopulations-{F}(V4,V1,V5,V2) | greater_or_equal-{T}(V3,V0)
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #3: input, references = 3, size of lhs = 5:
% 0.13/0.36 P_zero-{F}(V0), P_growth_rate-{F}(V1,V2,V3), outcompetes-{F}(V4,V1,V2), environment-{F}(V5), subpopulations-{F}(V1,V4,V5,V2) | greater-{T}(V0,V3)
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #4: input, references = 4, size of lhs = 2:
% 0.13/0.36 P_zero-{F}(V0), P_sk1-{F}(V1) | environment-{T}(V1)
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #5: input, references = 4, size of lhs = 5:
% 0.13/0.36 P_zero-{F}(V0), P_sk1-{F}(V1), P_first_movers-{F}(V2), P_efficient_producers-{F}(V3), P_sk2-{F}(V4) | subpopulations-{T}(V2,V3,V1,V4)
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #6: input, references = 4, size of lhs = 6:
% 0.13/0.36 P_zero-{F}(V0), P_sk1-{F}(V1), P_first_movers-{F}(V2), P_efficient_producers-{F}(V3), P_sk2-{F}(V4), P_growth_rate-{F}(V2,V4,V5) | greater_or_equal-{T}(V5,V0)
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #7: input, references = 4, size of lhs = 7:
% 0.13/0.36 P_zero-{F}(V0), P_sk1-{F}(V1), P_first_movers-{F}(V2), P_efficient_producers-{F}(V3), P_sk2-{F}(V4), P_growth_rate-{F}(V2,V4,V5), P_growth_rate-{F}(V3,V4,V6) | greater-{T}(V0,V6)
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #8: input, references = 4, size of lhs = 10:
% 0.13/0.36 P_zero-{F}(V0), P_sk1-{F}(V1), P_first_movers-{F}(V2), P_efficient_producers-{F}(V3), P_sk2-{F}(V4), P_growth_rate-{F}(V2,V4,V5), P_growth_rate-{F}(V3,V4,V6), outcompetes-{F}(V2,V3,V7), environment-{F}(V8), subpopulations-{F}(V2,V3,V8,V7) | FALSE
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #9: input, references = 5, size of lhs = 2:
% 0.13/0.36 #-{F} V0, #-{F} V1 | EXISTS V2: P_growth_rate-{T}(V0,V1,V2)
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #10: input, references = 4, size of lhs = 0:
% 0.13/0.36 FALSE | EXISTS V0: P_zero-{T}(V0)
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #11: input, references = 4, size of lhs = 0:
% 0.13/0.36 FALSE | EXISTS V0: P_sk1-{T}(V0)
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #12: input, references = 4, size of lhs = 0:
% 0.13/0.36 FALSE | EXISTS V0: P_first_movers-{T}(V0)
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #13: input, references = 4, size of lhs = 0:
% 0.13/0.36 FALSE | EXISTS V0: P_efficient_producers-{T}(V0)
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #14: input, references = 4, size of lhs = 0:
% 0.13/0.36 FALSE | EXISTS V0: P_sk2-{T}(V0)
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 number of initial rules = 15
% 0.13/0.36
% 0.13/0.36 Simplifiers:
% 0.13/0.36 #15: unsound, references = 3, size of lhs = 3:
% 0.13/0.36 environment-{F}(V0), environment-{F}(V1), V0 == V1 | FALSE
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #16: unsound, references = 3, size of lhs = 3:
% 0.13/0.36 subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #17: unsound, references = 3, size of lhs = 3:
% 0.13/0.36 subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #18: unsound, references = 3, size of lhs = 3:
% 0.13/0.36 greater_or_equal-{F}(V0,V1), greater_or_equal-{F}(V2,V3), V1 == V3 | FALSE
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #19: unsound, references = 3, size of lhs = 3:
% 0.13/0.36 greater-{F}(V0,V1), greater-{F}(V2,V3), V0 == V2 | FALSE
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #20: unsound, references = 3, size of lhs = 3:
% 0.13/0.36 outcompetes-{F}(V0,V1,V2), outcompetes-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #21: unsound, references = 3, size of lhs = 3:
% 0.13/0.36 P_growth_rate-{F}(V0,V1,V2), P_growth_rate-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #22: unsound, references = 3, size of lhs = 3:
% 0.13/0.36 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #23: unsound, references = 3, size of lhs = 3:
% 0.13/0.36 P_sk1-{F}(V0), P_sk1-{F}(V1), V0 == V1 | FALSE
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #24: unsound, references = 3, size of lhs = 3:
% 0.13/0.36 P_first_movers-{F}(V0), P_first_movers-{F}(V1), V0 == V1 | FALSE
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #25: unsound, references = 3, size of lhs = 3:
% 0.13/0.36 P_efficient_producers-{F}(V0), P_efficient_producers-{F}(V1), V0 == V1 | FALSE
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #26: unsound, references = 3, size of lhs = 3:
% 0.13/0.36 P_sk2-{F}(V0), P_sk2-{F}(V1), V0 == V1 | FALSE
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 number of simplifiers = 12
% 0.13/0.36
% 0.13/0.36 Learnt:
% 0.13/0.36 #38: mergings( V9 == V14, V7 == V13, V8 == V10, V3 == V5, V5 == V11, V4 == V6, V6 == V12; #30 ), references = 1, size of lhs = 9:
% 0.13/0.36 P_zero-{F}(V0), P_sk1-{F}(V1), P_first_movers-{F}(V2), P_efficient_producers-{F}(V3), P_sk2-{F}(V4), P_growth_rate-{F}(V3,V4,V5), environment-{F}(V6), subpopulations-{F}(V3,V2,V6,V4), subpopulations-{F}(V2,V3,V6,V4) | FALSE
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #45: mergings( V7 == V11, V6 == V8, V3 == V5, V5 == V9, V4 == V0; #39 ), references = 1, size of lhs = 8:
% 0.13/0.36 P_zero-{F}(V0), P_sk1-{F}(V1), P_first_movers-{F}(V2), P_efficient_producers-{F}(V3), P_sk2-{F}(V4), environment-{F}(V5), subpopulations-{F}(V3,V2,V5,V4), subpopulations-{F}(V2,V3,V5,V4) | FALSE
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #55: mergings( V1 == V6, V6 == V7, V2 == V3, V3 == V5, V5 == V8, V4 == V10; #48 ), references = 1, size of lhs = 5:
% 0.13/0.36 environment-{F}(V0), P_sk1-{F}(V0), P_zero-{F}(V1), P_first_movers-{F}(V2), P_efficient_producers-{F}(V3) | FALSE
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #62: mergings( V1 == V5, V5 == V6, V2 == V3, V3 == V4, V4 == V7; #56 ), references = 1, size of lhs = 4:
% 0.13/0.36 environment-{F}(V0), P_sk1-{F}(V0), P_zero-{F}(V1), P_first_movers-{F}(V2) | FALSE
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #69: mergings( V1 == V5, V5 == V6, V2 == V3, V3 == V4, V4 == V7; #63 ), references = 1, size of lhs = 3:
% 0.13/0.36 environment-{F}(V0), P_sk1-{F}(V0), P_zero-{F}(V1) | FALSE
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #75: mergings( V1 == V2, V2 == V3, V3 == V4; #71 ), references = 1, size of lhs = 1:
% 0.13/0.36 P_zero-{F}(V0) | FALSE
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 #77: exists( #10, #71 ), references = 1, size of lhs = 0:
% 0.13/0.36 FALSE | FALSE
% 0.13/0.36 (used 0 times, uses = {})
% 0.13/0.36
% 0.13/0.36 number of learnt formulas = 7
% 0.13/0.36
% 0.13/0.36
% 0.13/0.36 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36
% 0.13/0.36 randbase = 1
%------------------------------------------------------------------------------