TSTP Solution File: MGT022+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : MGT022+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n003.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 06:10:34 EDT 2022
% Result : Theorem 0.21s 0.46s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT022+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.34 % Computer : n003.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 11:16:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.21/0.46 GeoParameters:
% 0.21/0.46
% 0.21/0.46 tptp_input = 1
% 0.21/0.46 tptp_output = 0
% 0.21/0.46 nonempty = 1
% 0.21/0.46 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.46 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.21/0.46
% 0.21/0.46
% 0.21/0.46 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.46 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.46
% 0.21/0.46 RuleSystem INPUT:
% 0.21/0.46
% 0.21/0.46 Initial Rules:
% 0.21/0.46 #0: input, references = 6, size of lhs = 2:
% 0.21/0.46 constant-{F}(V0), decreases-{F}(V0) | FALSE
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 #1: input, references = 5, size of lhs = 10:
% 0.21/0.46 P_resilience-{F}(V1,V2), P_resilience-{F}(V0,V3), greater-{F}(V2,V3), environment-{F}(V4), P_resources-{F}(V4,V5,V6), P_disbanding_rate-{F}(V0,V5,V7), P_disbanding_rate-{F}(V1,V5,V8), P_difference-{F}(V7,V8,V9), subpopulations-{F}(V0,V1,V4,V5), decreases-{F}(V6) | increases-{T}(V9)
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 #2: input, references = 4, size of lhs = 10:
% 0.21/0.46 P_resilience-{F}(V1,V2), P_resilience-{F}(V0,V3), greater-{F}(V2,V3), environment-{F}(V4), P_resources-{F}(V4,V5,V6), P_disbanding_rate-{F}(V0,V5,V7), P_disbanding_rate-{F}(V1,V5,V8), P_difference-{F}(V7,V8,V9), subpopulations-{F}(V0,V1,V4,V5), constant-{F}(V6) | constant-{T}(V9)
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 #3: input, references = 5, size of lhs = 4:
% 0.21/0.46 P_efficient_producers-{F}(V0), P_resilience-{F}(V0,V1), P_first_movers-{F}(V2), P_resilience-{F}(V2,V3) | greater-{T}(V1,V3)
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 #4: input, references = 5, size of lhs = 4:
% 0.21/0.46 P_efficient_producers-{F}(V0), P_resilience-{F}(V0,V1), P_first_movers-{F}(V2), P_resilience-{F}(V2,V3) | EXISTS V4: pppp2-{T}(V4,V0,V2)
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 #5: input, references = 5, size of lhs = 1:
% 0.21/0.46 pppp2-{F}(V0,V1,V2) | EXISTS V3: pppp1-{T}(V0,V1,V2,V3)
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 #6: input, references = 5, size of lhs = 1:
% 0.21/0.46 pppp2-{F}(V0,V1,V2) | environment-{T}(V0)
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 #7: input, references = 4, size of lhs = 5:
% 0.21/0.46 pppp1-{F}(V0,V1,V2,V3), P_resources-{F}(V0,V3,V4), P_disbanding_rate-{F}(V2,V3,V5), P_disbanding_rate-{F}(V1,V3,V6), P_difference-{F}(V5,V6,V7) | pppp0-{T}(V0,V3,V1,V2,V4,V7)
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 #8: input, references = 3, size of lhs = 2:
% 0.21/0.46 pppp0-{F}(V0,V1,V2,V3,V4,V5), increases-{F}(V5) | decreases-{T}(V5)
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 #9: input, references = 5, size of lhs = 2:
% 0.21/0.46 pppp0-{F}(V0,V1,V2,V3,V4,V5), increases-{F}(V5) | constant-{T}(V4)
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 #10: input, references = 4, size of lhs = 1:
% 0.21/0.46 pppp0-{F}(V0,V1,V2,V3,V4,V5) | decreases-{T}(V4), decreases-{T}(V5)
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 #11: input, references = 4, size of lhs = 1:
% 0.21/0.46 pppp0-{F}(V0,V1,V2,V3,V4,V5) | decreases-{T}(V4), constant-{T}(V4)
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 #12: input, references = 4, size of lhs = 1:
% 0.21/0.46 pppp0-{F}(V0,V1,V2,V3,V4,V5) | subpopulations-{T}(V3,V2,V0,V1)
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 #13: input, references = 6, size of lhs = 1:
% 0.21/0.46 #-{F} V0 | EXISTS V1: P_resilience-{T}(V0,V1)
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 #14: input, references = 5, size of lhs = 2:
% 0.21/0.46 #-{F} V0, #-{F} V1 | EXISTS V2: P_resources-{T}(V0,V1,V2)
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 #15: input, references = 4, size of lhs = 2:
% 0.21/0.46 #-{F} V0, #-{F} V1 | EXISTS V2: P_difference-{T}(V0,V1,V2)
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 #16: input, references = 6, size of lhs = 2:
% 0.21/0.46 #-{F} V0, #-{F} V1 | EXISTS V2: P_disbanding_rate-{T}(V0,V1,V2)
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 #17: input, references = 4, size of lhs = 0:
% 0.21/0.46 FALSE | EXISTS V0: P_efficient_producers-{T}(V0)
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 #18: input, references = 4, size of lhs = 0:
% 0.21/0.46 FALSE | EXISTS V0: P_first_movers-{T}(V0)
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 number of initial rules = 19
% 0.21/0.46
% 0.21/0.46 Simplifiers:
% 0.21/0.46 #19: unsound, references = 3, size of lhs = 3:
% 0.21/0.46 subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 #20: unsound, references = 3, size of lhs = 3:
% 0.21/0.46 subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V0,V1,V6,V7), V2 == V6 | FALSE
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 #21: unsound, references = 3, size of lhs = 3:
% 0.21/0.46 subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 #22: unsound, references = 3, size of lhs = 3:
% 0.21/0.46 subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 #23: unsound, references = 3, size of lhs = 3:
% 0.21/0.46 P_resilience-{F}(V0,V1), P_resilience-{F}(V0,V3), V1 == V3 | FALSE
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 #24: unsound, references = 3, size of lhs = 3:
% 0.21/0.46 P_resources-{F}(V0,V1,V2), P_resources-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 #25: unsound, references = 3, size of lhs = 3:
% 0.21/0.46 P_difference-{F}(V0,V1,V2), P_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 #26: unsound, references = 3, size of lhs = 3:
% 0.21/0.46 P_disbanding_rate-{F}(V0,V1,V2), P_disbanding_rate-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 #27: unsound, references = 3, size of lhs = 3:
% 0.21/0.46 P_efficient_producers-{F}(V0), P_efficient_producers-{F}(V1), V0 == V1 | FALSE
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 #28: unsound, references = 3, size of lhs = 3:
% 0.21/0.46 P_first_movers-{F}(V0), P_first_movers-{F}(V1), V0 == V1 | FALSE
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 #29: unsound, references = 3, size of lhs = 3:
% 0.21/0.46 pppp0-{F}(V0,V1,V2,V3,V4,V5), pppp0-{F}(V0,V7,V2,V3,V10,V11), V1 == V7 | FALSE
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 #30: unsound, references = 3, size of lhs = 3:
% 0.21/0.46 pppp0-{F}(V0,V1,V2,V3,V4,V5), pppp0-{F}(V6,V7,V2,V3,V10,V11), V0 == V6 | FALSE
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 #31: unsound, references = 3, size of lhs = 3:
% 0.21/0.46 pppp0-{F}(V0,V1,V2,V3,V4,V5), pppp0-{F}(V6,V7,V8,V9,V10,V11), V2 == V8 | FALSE
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 #32: unsound, references = 3, size of lhs = 3:
% 0.21/0.46 pppp0-{F}(V0,V1,V2,V3,V4,V5), pppp0-{F}(V6,V7,V8,V9,V10,V11), V3 == V9 | FALSE
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 #33: unsound, references = 3, size of lhs = 3:
% 0.21/0.46 pppp0-{F}(V0,V1,V2,V3,V4,V5), pppp0-{F}(V0,V1,V8,V9,V10,V11), V4 == V10 | FALSE
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 #34: unsound, references = 3, size of lhs = 3:
% 0.21/0.46 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 #35: unsound, references = 3, size of lhs = 3:
% 0.21/0.46 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V4,V1,V2,V7), V0 == V4 | FALSE
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 #36: unsound, references = 3, size of lhs = 3:
% 0.21/0.46 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 #37: unsound, references = 3, size of lhs = 3:
% 0.21/0.46 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 #38: unsound, references = 3, size of lhs = 3:
% 0.21/0.46 pppp2-{F}(V0,V1,V2), pppp2-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 #39: unsound, references = 3, size of lhs = 3:
% 0.21/0.46 pppp2-{F}(V0,V1,V2), pppp2-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 #40: unsound, references = 3, size of lhs = 3:
% 0.21/0.46 pppp2-{F}(V0,V1,V2), pppp2-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 number of simplifiers = 22
% 0.21/0.46
% 0.21/0.46 Learnt:
% 0.21/0.46 #48: mergings( V17 == V2, V18 == V3, V15 == V0, V16 == V1; #43 ), references = 2, size of lhs = 11:
% 0.21/0.46 environment-{F}(V0), P_resilience-{F}(V1,V2), greater-{F}(V2,V3), P_resilience-{F}(V4,V3), subpopulations-{F}(V4,V1,V0,V5), P_resources-{F}(V0,V5,V6), P_disbanding_rate-{F}(V4,V5,V7), P_disbanding_rate-{F}(V1,V5,V8), P_difference-{F}(V7,V8,V9), pppp0-{F}(V10,V11,V12,V13,V6,V9), pppp0-{F}(V10,V11,V12,V13,V6,V14) | decreases-{T}(V14)
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 #51: disj( #11, #2+#0 ), references = 2, size of lhs = 11:
% 0.21/0.46 environment-{F}(V0), decreases-{F}(V1), P_resilience-{F}(V2,V3), greater-{F}(V3,V4), P_resilience-{F}(V5,V4), subpopulations-{F}(V5,V2,V0,V6), P_resources-{F}(V0,V6,V7), P_disbanding_rate-{F}(V5,V6,V8), P_disbanding_rate-{F}(V2,V6,V9), P_difference-{F}(V8,V9,V1), pppp0-{F}(V10,V11,V12,V13,V7,V14) | decreases-{T}(V7)
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 #80: mergings( V5 == V9, V6 == V10, V9 == V11, V10 == V12; #75 ), references = 2, size of lhs = 8:
% 0.21/0.46 environment-{F}(V0), P_resilience-{F}(V1,V2), greater-{F}(V2,V3), P_resilience-{F}(V4,V3), pppp1-{F}(V0,V1,V4,V5), P_resources-{F}(V0,V5,V6), P_disbanding_rate-{F}(V4,V5,V7), P_disbanding_rate-{F}(V1,V5,V8) | FALSE
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 #87: mergings( V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #81 ), references = 1, size of lhs = 5:
% 0.21/0.46 environment-{F}(V0), greater-{F}(V1,V1), P_resilience-{F}(V2,V1), pppp1-{F}(V0,V2,V2,V3), P_resources-{F}(V0,V3,V4) | FALSE
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 #94: mergings( V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #88 ), references = 1, size of lhs = 4:
% 0.21/0.46 environment-{F}(V0), greater-{F}(V1,V1), P_resilience-{F}(V2,V1), pppp1-{F}(V0,V2,V2,V3) | FALSE
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 #101: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #95 ), references = 1, size of lhs = 4:
% 0.21/0.46 environment-{F}(V0), pppp2-{F}(V0,V1,V1), P_resilience-{F}(V1,V2), greater-{F}(V2,V2) | FALSE
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 #111: mergings( V1 == V2, V2 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #103 ), references = 1, size of lhs = 4:
% 0.21/0.46 P_efficient_producers-{F}(V0), P_first_movers-{F}(V0), P_resilience-{F}(V0,V1), greater-{F}(V1,V1) | FALSE
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 #114: exists( #13, #112 ), references = 1, size of lhs = 2:
% 0.21/0.46 P_efficient_producers-{F}(V0), P_first_movers-{F}(V0) | FALSE
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 #116: exists( #16, #80 ), references = 1, size of lhs = 7:
% 0.21/0.46 environment-{F}(V0), P_resilience-{F}(V1,V2), greater-{F}(V2,V3), P_resilience-{F}(V4,V3), pppp1-{F}(V0,V1,V4,V5), P_resources-{F}(V0,V5,V6), P_disbanding_rate-{F}(V1,V5,V7) | FALSE
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 #118: exists( #16, #115 ), references = 1, size of lhs = 6:
% 0.21/0.46 environment-{F}(V0), P_resilience-{F}(V1,V2), greater-{F}(V2,V3), P_resilience-{F}(V4,V3), pppp1-{F}(V0,V1,V4,V5), P_resources-{F}(V0,V5,V6) | FALSE
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 #120: exists( #14, #117 ), references = 1, size of lhs = 5:
% 0.21/0.46 environment-{F}(V0), P_resilience-{F}(V1,V2), greater-{F}(V2,V3), P_resilience-{F}(V4,V3), pppp1-{F}(V0,V1,V4,V5) | FALSE
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 #122: exists( #5, #119 ), references = 1, size of lhs = 5:
% 0.21/0.46 environment-{F}(V0), pppp2-{F}(V0,V1,V2), P_resilience-{F}(V1,V3), greater-{F}(V3,V4), P_resilience-{F}(V2,V4) | FALSE
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 #127: mergings( V1 == V5, V3 == V6; #124 ), references = 1, size of lhs = 5:
% 0.21/0.46 P_efficient_producers-{F}(V0), P_first_movers-{F}(V1), P_resilience-{F}(V0,V2), greater-{F}(V2,V3), P_resilience-{F}(V1,V3) | FALSE
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 #132: mergings( V3 == V5, V2 == V4; #129 ), references = 1, size of lhs = 3:
% 0.21/0.46 P_efficient_producers-{F}(V0), P_resilience-{F}(V0,V1), P_first_movers-{F}(V2) | FALSE
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 #134: exists( #13, #129 ), references = 1, size of lhs = 2:
% 0.21/0.46 P_efficient_producers-{F}(V0), P_first_movers-{F}(V1) | FALSE
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 #136: exists( #18, #133 ), references = 1, size of lhs = 1:
% 0.21/0.46 P_efficient_producers-{F}(V0) | FALSE
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 #138: exists( #17, #135 ), references = 1, size of lhs = 0:
% 0.21/0.46 FALSE | FALSE
% 0.21/0.46 (used 0 times, uses = {})
% 0.21/0.46
% 0.21/0.46 number of learnt formulas = 17
% 0.21/0.46
% 0.21/0.46
% 0.21/0.46 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.46
% 0.21/0.46 randbase = 1
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