TSTP Solution File: MGT022-2 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : MGT022-2 : TPTP v8.1.0. Released v2.4.0.
% 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 06:10:34 EDT 2022

% Result   : Unsatisfiable 0.20s 0.48s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : MGT022-2 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % 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 11:10:36 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.48  GeoParameters:
% 0.20/0.48  
% 0.20/0.48  tptp_input =     1
% 0.20/0.48  tptp_output =    0
% 0.20/0.48  nonempty =       1
% 0.20/0.48  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.20/0.48  
% 0.20/0.48  
% 0.20/0.48  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48  
% 0.20/0.48  RuleSystem INPUT:
% 0.20/0.48  
% 0.20/0.48  Initial Rules:
% 0.20/0.48  #0: input, references = 6, size of lhs = 2:
% 0.20/0.48     constant-{F}(V0), decreases-{F}(V0) | FALSE
% 0.20/0.48        (used 0 times, uses = {})
% 0.20/0.48  
% 0.20/0.48  #1: input, references = 5, size of lhs = 10:
% 0.20/0.48     P_resilience-{F}(V1,V2), P_resilience-{F}(V0,V3), greater-{F}(V2,V3), P_disbanding_rate-{F}(V0,V4,V5), P_disbanding_rate-{F}(V1,V4,V6), P_difference-{F}(V5,V6,V7), P_resources-{F}(V8,V4,V9), environment-{F}(V8), subpopulations-{F}(V0,V1,V8,V4), decreases-{F}(V9) | increases-{T}(V7)
% 0.20/0.48        (used 0 times, uses = {})
% 0.20/0.48  
% 0.20/0.48  #2: input, references = 4, size of lhs = 10:
% 0.20/0.48     P_resilience-{F}(V1,V2), P_resilience-{F}(V0,V3), greater-{F}(V2,V3), P_disbanding_rate-{F}(V0,V4,V5), P_disbanding_rate-{F}(V1,V4,V6), P_difference-{F}(V5,V6,V7), P_resources-{F}(V8,V4,V9), environment-{F}(V8), subpopulations-{F}(V0,V1,V8,V4), constant-{F}(V9) | constant-{T}(V7)
% 0.20/0.48        (used 0 times, uses = {})
% 0.20/0.48  
% 0.20/0.48  #3: input, references = 5, size of lhs = 4:
% 0.20/0.48     P_efficient_producers-{F}(V0), P_resilience-{F}(V0,V1), P_first_movers-{F}(V2), P_resilience-{F}(V2,V3) | greater-{T}(V1,V3)
% 0.20/0.48        (used 0 times, uses = {})
% 0.20/0.48  
% 0.20/0.48  #4: input, references = 5, size of lhs = 5:
% 0.20/0.48     P_efficient_producers-{F}(V0), P_resilience-{F}(V0,V1), P_first_movers-{F}(V2), P_resilience-{F}(V2,V3), P_sk1-{F}(V4) | environment-{T}(V4)
% 0.20/0.48        (used 0 times, uses = {})
% 0.20/0.48  
% 0.20/0.48  #5: input, references = 5, size of lhs = 6:
% 0.20/0.48     P_efficient_producers-{F}(V0), P_resilience-{F}(V0,V1), P_first_movers-{F}(V2), P_resilience-{F}(V2,V3), P_sk1-{F}(V4), P_sk2-{F}(V5) | subpopulations-{T}(V2,V0,V4,V5)
% 0.20/0.48        (used 0 times, uses = {})
% 0.20/0.48  
% 0.20/0.48  #6: input, references = 5, size of lhs = 7:
% 0.20/0.48     P_efficient_producers-{F}(V0), P_resilience-{F}(V0,V1), P_first_movers-{F}(V2), P_resilience-{F}(V2,V3), P_sk1-{F}(V4), P_sk2-{F}(V5), P_resources-{F}(V4,V5,V6) | decreases-{T}(V6), constant-{T}(V6)
% 0.20/0.48        (used 0 times, uses = {})
% 0.20/0.48  
% 0.20/0.48  #7: input, references = 4, size of lhs = 10:
% 0.20/0.48     P_efficient_producers-{F}(V0), P_resilience-{F}(V0,V1), P_first_movers-{F}(V2), P_resilience-{F}(V2,V3), P_sk1-{F}(V4), P_sk2-{F}(V5), P_resources-{F}(V4,V5,V6), P_disbanding_rate-{F}(V2,V5,V7), P_disbanding_rate-{F}(V0,V5,V8), P_difference-{F}(V7,V8,V9) | decreases-{T}(V6), decreases-{T}(V9)
% 0.20/0.48        (used 0 times, uses = {})
% 0.20/0.48  
% 0.20/0.48  #8: input, references = 5, size of lhs = 11:
% 0.20/0.48     P_efficient_producers-{F}(V0), P_resilience-{F}(V0,V1), P_first_movers-{F}(V2), P_resilience-{F}(V2,V3), P_sk1-{F}(V4), P_sk2-{F}(V5), P_resources-{F}(V4,V5,V6), P_disbanding_rate-{F}(V2,V5,V7), P_disbanding_rate-{F}(V0,V5,V8), P_difference-{F}(V7,V8,V9), increases-{F}(V9) | constant-{T}(V6)
% 0.20/0.48        (used 0 times, uses = {})
% 0.20/0.48  
% 0.20/0.48  #9: input, references = 3, size of lhs = 11:
% 0.20/0.48     P_efficient_producers-{F}(V0), P_resilience-{F}(V0,V1), P_first_movers-{F}(V2), P_resilience-{F}(V2,V3), P_sk1-{F}(V4), P_sk2-{F}(V5), P_resources-{F}(V4,V5,V6), P_disbanding_rate-{F}(V2,V5,V7), P_disbanding_rate-{F}(V0,V5,V8), P_difference-{F}(V7,V8,V9), increases-{F}(V9) | decreases-{T}(V9)
% 0.20/0.48        (used 0 times, uses = {})
% 0.20/0.48  
% 0.20/0.48  #10: input, references = 6, size of lhs = 1:
% 0.20/0.48     #-{F} V0 | EXISTS V1: P_resilience-{T}(V0,V1)
% 0.20/0.48        (used 0 times, uses = {})
% 0.20/0.48  
% 0.20/0.48  #11: input, references = 5, size of lhs = 2:
% 0.20/0.48     #-{F} V0, #-{F} V1 | EXISTS V2: P_resources-{T}(V0,V1,V2)
% 0.20/0.48        (used 0 times, uses = {})
% 0.20/0.48  
% 0.20/0.48  #12: input, references = 5, size of lhs = 2:
% 0.20/0.48     #-{F} V0, #-{F} V1 | EXISTS V2: P_difference-{T}(V0,V1,V2)
% 0.20/0.48        (used 0 times, uses = {})
% 0.20/0.48  
% 0.20/0.48  #13: input, references = 6, size of lhs = 2:
% 0.20/0.48     #-{F} V0, #-{F} V1 | EXISTS V2: P_disbanding_rate-{T}(V0,V1,V2)
% 0.20/0.48        (used 0 times, uses = {})
% 0.20/0.48  
% 0.20/0.48  #14: input, references = 4, size of lhs = 0:
% 0.20/0.48     FALSE | EXISTS V0: P_efficient_producers-{T}(V0)
% 0.20/0.48        (used 0 times, uses = {})
% 0.20/0.48  
% 0.20/0.48  #15: input, references = 4, size of lhs = 0:
% 0.20/0.48     FALSE | EXISTS V0: P_first_movers-{T}(V0)
% 0.20/0.48        (used 0 times, uses = {})
% 0.20/0.48  
% 0.20/0.48  #16: input, references = 5, size of lhs = 0:
% 0.20/0.48     FALSE | EXISTS V0: P_sk1-{T}(V0)
% 0.20/0.48        (used 0 times, uses = {})
% 0.20/0.48  
% 0.20/0.48  #17: input, references = 5, size of lhs = 0:
% 0.20/0.48     FALSE | EXISTS V0: P_sk2-{T}(V0)
% 0.20/0.48        (used 0 times, uses = {})
% 0.20/0.48  
% 0.20/0.48  number of initial rules = 18
% 0.20/0.48  
% 0.20/0.48  Simplifiers:
% 0.20/0.48  #18: unsound, references = 3, size of lhs = 3:
% 0.20/0.48     environment-{F}(V0), environment-{F}(V1), V0 == V1 | FALSE
% 0.20/0.48        (used 0 times, uses = {})
% 0.20/0.48  
% 0.20/0.48  #19: unsound, references = 3, size of lhs = 3:
% 0.20/0.48     subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.20/0.48        (used 0 times, uses = {})
% 0.20/0.48  
% 0.20/0.48  #20: unsound, references = 3, size of lhs = 3:
% 0.20/0.48     subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.20/0.48        (used 0 times, uses = {})
% 0.20/0.48  
% 0.20/0.48  #21: unsound, references = 3, size of lhs = 3:
% 0.20/0.48     subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.20/0.48        (used 0 times, uses = {})
% 0.20/0.48  
% 0.20/0.48  #22: unsound, references = 3, size of lhs = 3:
% 0.20/0.48     subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.20/0.48        (used 0 times, uses = {})
% 0.20/0.48  
% 0.20/0.48  #23: unsound, references = 3, size of lhs = 3:
% 0.20/0.48     P_resilience-{F}(V0,V1), P_resilience-{F}(V0,V3), V1 == V3 | FALSE
% 0.20/0.48        (used 0 times, uses = {})
% 0.20/0.48  
% 0.20/0.48  #24: unsound, references = 3, size of lhs = 3:
% 0.20/0.48     P_difference-{F}(V0,V1,V2), P_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.20/0.48        (used 0 times, uses = {})
% 0.20/0.48  
% 0.20/0.48  #25: unsound, references = 3, size of lhs = 3:
% 0.20/0.48     P_disbanding_rate-{F}(V0,V1,V2), P_disbanding_rate-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.20/0.48        (used 0 times, uses = {})
% 0.20/0.48  
% 0.20/0.48  #26: unsound, references = 3, size of lhs = 3:
% 0.20/0.48     P_resources-{F}(V0,V1,V2), P_resources-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.20/0.48        (used 0 times, uses = {})
% 0.20/0.48  
% 0.20/0.48  #27: unsound, references = 3, size of lhs = 3:
% 0.20/0.48     P_efficient_producers-{F}(V0), P_efficient_producers-{F}(V1), V0 == V1 | FALSE
% 0.20/0.48        (used 0 times, uses = {})
% 0.20/0.48  
% 0.20/0.48  #28: unsound, references = 3, size of lhs = 3:
% 0.20/0.48     P_first_movers-{F}(V0), P_first_movers-{F}(V1), V0 == V1 | FALSE
% 0.20/0.48        (used 0 times, uses = {})
% 0.20/0.48  
% 0.20/0.48  #29: unsound, references = 3, size of lhs = 3:
% 0.20/0.48     P_sk1-{F}(V0), P_sk1-{F}(V1), V0 == V1 | FALSE
% 0.20/0.48        (used 0 times, uses = {})
% 0.20/0.48  
% 0.20/0.48  #30: unsound, references = 3, size of lhs = 3:
% 0.20/0.48     P_sk2-{F}(V0), P_sk2-{F}(V1), V0 == V1 | FALSE
% 0.20/0.48        (used 0 times, uses = {})
% 0.20/0.48  
% 0.20/0.48  number of simplifiers = 13
% 0.20/0.48  
% 0.20/0.48  Learnt:
% 0.20/0.48  #32: disj( #7, input ), references = 1, size of lhs = 11:
% 0.20/0.48     P_efficient_producers-{F}(V0), P_resilience-{F}(V0,V1), P_first_movers-{F}(V2), P_resilience-{F}(V2,V3), P_sk1-{F}(V4), P_sk2-{F}(V5), P_resources-{F}(V4,V5,V6), constant-{F}(V6), P_disbanding_rate-{F}(V2,V5,V7), P_disbanding_rate-{F}(V0,V5,V8), P_difference-{F}(V7,V8,V9) | decreases-{T}(V9)
% 0.20/0.48        (used 0 times, uses = {})
% 0.20/0.48  
% 0.20/0.48  #42: mergings( V0 == V7, V1 == V8, V2 == V9, V3 == V10, V4 == V11, V5 == V12; #35 ), references = 2, size of lhs = 19:
% 0.20/0.48     P_efficient_producers-{F}(V0), P_resilience-{F}(V0,V1), P_first_movers-{F}(V2), P_resilience-{F}(V2,V3), P_sk1-{F}(V4), P_sk2-{F}(V5), P_resources-{F}(V4,V5,V6), P_disbanding_rate-{F}(V2,V5,V7), P_disbanding_rate-{F}(V0,V5,V8), P_difference-{F}(V7,V8,V9), environment-{F}(V10), P_resources-{F}(V10,V11,V6), P_resilience-{F}(V12,V13), greater-{F}(V13,V14), P_resilience-{F}(V15,V14), subpopulations-{F}(V15,V12,V10,V11), P_disbanding_rate-{F}(V15,V11,V16), P_disbanding_rate-{F}(V12,V11,V17), P_difference-{F}(V16,V17,V9) | decreases-{T}(V6)
% 0.20/0.48        (used 0 times, uses = {})
% 0.20/0.48  
% 0.20/0.48  #48: exists( #12, #46 ), references = 2, size of lhs = 18:
% 0.20/0.48     P_efficient_producers-{F}(V0), P_resilience-{F}(V0,V1), P_first_movers-{F}(V2), P_resilience-{F}(V2,V3), P_sk1-{F}(V4), P_sk2-{F}(V5), P_resources-{F}(V4,V5,V6), constant-{F}(V6), P_disbanding_rate-{F}(V2,V5,V7), P_disbanding_rate-{F}(V0,V5,V8), environment-{F}(V9), P_resources-{F}(V9,V10,V6), P_disbanding_rate-{F}(V11,V10,V7), P_resilience-{F}(V11,V12), subpopulations-{F}(V11,V13,V9,V10), P_disbanding_rate-{F}(V13,V10,V8), P_resilience-{F}(V13,V14), greater-{F}(V14,V12) | FALSE
% 0.20/0.48        (used 0 times, uses = {})
% 0.20/0.48  
% 0.20/0.48  #56: mergings( V0 == V7, V1 == V8, V2 == V9, V3 == V10, V4 == V11, V5 == V12; #49 ), references = 3, size of lhs = 17:
% 0.20/0.48     P_efficient_producers-{F}(V0), P_resilience-{F}(V0,V1), P_first_movers-{F}(V2), P_resilience-{F}(V2,V3), P_sk1-{F}(V4), P_sk2-{F}(V5), P_resources-{F}(V4,V5,V6), P_disbanding_rate-{F}(V2,V5,V7), P_disbanding_rate-{F}(V0,V5,V8), environment-{F}(V9), P_resources-{F}(V9,V10,V6), P_disbanding_rate-{F}(V11,V10,V7), P_resilience-{F}(V11,V12), subpopulations-{F}(V11,V13,V9,V10), P_disbanding_rate-{F}(V13,V10,V8), P_resilience-{F}(V13,V14), greater-{F}(V14,V12) | decreases-{T}(V6)
% 0.20/0.48        (used 0 times, uses = {})
% 0.20/0.48  
% 0.20/0.48  #63: exists( #12, #59 ), references = 2, size of lhs = 19:
% 0.20/0.48     environment-{F}(V0), decreases-{F}(V1), P_efficient_producers-{F}(V2), P_resilience-{F}(V2,V3), P_first_movers-{F}(V4), P_resilience-{F}(V4,V5), P_sk1-{F}(V6), P_sk2-{F}(V7), P_resources-{F}(V6,V7,V8), decreases-{F}(V8), P_disbanding_rate-{F}(V4,V7,V9), P_disbanding_rate-{F}(V2,V7,V10), P_resources-{F}(V0,V11,V1), P_disbanding_rate-{F}(V12,V11,V9), P_resilience-{F}(V12,V13), subpopulations-{F}(V12,V14,V0,V11), P_disbanding_rate-{F}(V14,V11,V10), P_resilience-{F}(V14,V15), greater-{F}(V15,V13) | FALSE
% 0.20/0.48        (used 0 times, uses = {})
% 0.20/0.48  
% 0.20/0.48  #79: mergings( V3 == V20, V27 == V25, V30 == V23, V21 == V22, V29 == V24, V28 == V26, V0 == V18, V1 == V19, V4 == V11, V5 == V12, V6 == V13, V7 == V14, V8 == V15, V9 == V16, V10 == V17; #62 ), references = 2, size of lhs = 18:
% 0.20/0.48     decreases-{F}(V0), P_efficient_producers-{F}(V1), P_resilience-{F}(V1,V2), P_first_movers-{F}(V3), P_resilience-{F}(V3,V4), P_sk1-{F}(V5), P_sk2-{F}(V6), P_resources-{F}(V5,V6,V0), P_disbanding_rate-{F}(V3,V6,V7), P_disbanding_rate-{F}(V1,V6,V8), environment-{F}(V9), P_resources-{F}(V9,V10,V0), P_disbanding_rate-{F}(V11,V10,V7), P_resilience-{F}(V11,V12), subpopulations-{F}(V11,V13,V9,V10), P_disbanding_rate-{F}(V13,V10,V8), P_resilience-{F}(V13,V14), greater-{F}(V14,V12) | FALSE
% 0.20/0.48        (used 0 times, uses = {})
% 0.20/0.48  
% 0.20/0.48  #99: mergings( V13 == V14, V10 == V11, V11 == V15, V15 == V16, V16 == V18, V18 == V19, V19 == V20, V20 == V21, V3 == V0, V4 == V21, V5 == V0, V6 == V21, V7 == V12, V12 == V17, V8 == V1; #82 ), references = 1, size of lhs = 10:
% 0.20/0.48     environment-{F}(V0), P_efficient_producers-{F}(V1), P_first_movers-{F}(V1), P_sk1-{F}(V2), P_sk2-{F}(V3), subpopulations-{F}(V1,V1,V0,V3), P_resources-{F}(V2,V3,V4), P_resources-{F}(V0,V3,V4), P_resilience-{F}(V1,V5), greater-{F}(V5,V5) | FALSE
% 0.20/0.48        (used 0 times, uses = {})
% 0.20/0.48  
% 0.20/0.48  #122: mergings( V13 == V14, V14 == V22, V10 == V11, V11 == V15, V15 == V16, V16 == V19, V19 == V20, V20 == V23, V23 == V24, V24 == V25, V25 == V26, V26 == V27, V27 == V28, V9 == V18, V3 == V0, V4 == V28, V5 == V0, V6 == V28, V7 == V12, V12 == V17, V17 == V21, V8 == V1; #83 ), references = 1, size of lhs = 10:
% 0.20/0.48     P_efficient_producers-{F}(V0), P_first_movers-{F}(V0), P_sk1-{F}(V1), P_sk2-{F}(V2), P_resources-{F}(V1,V2,V3), environment-{F}(V4), P_resources-{F}(V4,V2,V3), subpopulations-{F}(V0,V0,V4,V2), P_resilience-{F}(V0,V5), greater-{F}(V5,V5) | FALSE
% 0.20/0.48        (used 0 times, uses = {})
% 0.20/0.48  
% 0.20/0.48  #136: mergings( V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V3 == V7, V4 == V15, V5 == V7, V6 == V15; #123 ), references = 1, size of lhs = 8:
% 0.20/0.48     environment-{F}(V0), P_sk1-{F}(V0), P_efficient_producers-{F}(V1), P_first_movers-{F}(V1), P_sk2-{F}(V2), subpopulations-{F}(V1,V1,V0,V2), P_resilience-{F}(V1,V3), greater-{F}(V3,V3) | FALSE
% 0.20/0.48        (used 0 times, uses = {})
% 0.20/0.48  
% 0.20/0.48  #152: mergings( V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V3 == V7, V4 == V19, V5 == V7, V6 == V19; #124 ), references = 1, size of lhs = 8:
% 0.20/0.48     P_efficient_producers-{F}(V0), P_first_movers-{F}(V0), P_sk1-{F}(V1), environment-{F}(V1), P_sk2-{F}(V2), subpopulations-{F}(V0,V0,V1,V2), P_resilience-{F}(V0,V3), greater-{F}(V3,V3) | FALSE
% 0.20/0.48        (used 0 times, uses = {})
% 0.20/0.48  
% 0.20/0.48  #161: exists( #10, #157 ), references = 1, size of lhs = 4:
% 0.20/0.48     P_sk1-{F}(V0), P_efficient_producers-{F}(V1), P_first_movers-{F}(V1), P_sk2-{F}(V2) | FALSE
% 0.20/0.48        (used 0 times, uses = {})
% 0.20/0.48  
% 0.20/0.48  #164: exists( #17, #159 ), references = 1, size of lhs = 3:
% 0.20/0.48     P_sk1-{F}(V0), P_efficient_producers-{F}(V1), P_first_movers-{F}(V1) | FALSE
% 0.20/0.48        (used 0 times, uses = {})
% 0.20/0.48  
% 0.20/0.48  #167: exists( #16, #162 ), references = 1, size of lhs = 2:
% 0.20/0.48     P_efficient_producers-{F}(V0), P_first_movers-{F}(V0) | FALSE
% 0.20/0.48        (used 0 times, uses = {})
% 0.20/0.48  
% 0.20/0.48  #182: mergings( V9 == V15, V17 == V20, V5 == V12, V12 == V16, V16 == V19, V18 == V21, V8 == V14, V3 == V10, V4 == V11, V6 == V13; #170 ), references = 1, size of lhs = 14:
% 0.20/0.48     P_efficient_producers-{F}(V0), P_resilience-{F}(V0,V1), P_first_movers-{F}(V2), P_sk1-{F}(V3), P_sk2-{F}(V4), P_resources-{F}(V3,V4,V5), P_disbanding_rate-{F}(V0,V4,V6), environment-{F}(V7), P_resources-{F}(V7,V4,V5), P_resilience-{F}(V2,V8), subpopulations-{F}(V2,V9,V7,V4), P_disbanding_rate-{F}(V9,V4,V6), P_resilience-{F}(V9,V10), greater-{F}(V10,V8) | FALSE
% 0.20/0.48        (used 0 times, uses = {})
% 0.20/0.48  
% 0.20/0.48  #193: mergings( V9 == V10, V17 == V20, V5 == V13, V13 == V16, V16 == V19, V18 == V21, V8 == V15, V3 == V11, V4 == V12, V6 == V14; #171 ), references = 1, size of lhs = 14:
% 0.20/0.48     environment-{F}(V0), P_efficient_producers-{F}(V1), P_resilience-{F}(V1,V2), P_first_movers-{F}(V3), P_sk1-{F}(V4), P_sk2-{F}(V5), P_resources-{F}(V4,V5,V6), P_resources-{F}(V0,V5,V6), P_disbanding_rate-{F}(V1,V5,V7), P_resilience-{F}(V3,V8), subpopulations-{F}(V3,V9,V0,V5), P_disbanding_rate-{F}(V9,V5,V7), P_resilience-{F}(V9,V10), greater-{F}(V10,V8) | FALSE
% 0.20/0.48        (used 0 times, uses = {})
% 0.20/0.48  
% 0.20/0.48  #204: mergings( V13 == V16, V8 == V9, V9 == V12, V12 == V15, V14 == V17, V10 == V11, V3 == V5, V4 == V6; #194 ), references = 1, size of lhs = 12:
% 0.20/0.48     P_efficient_producers-{F}(V0), P_resilience-{F}(V0,V1), P_first_movers-{F}(V2), P_sk1-{F}(V3), environment-{F}(V3), P_sk2-{F}(V4), P_disbanding_rate-{F}(V0,V4,V5), P_resilience-{F}(V2,V6), subpopulations-{F}(V2,V7,V3,V4), P_disbanding_rate-{F}(V7,V4,V5), P_resilience-{F}(V7,V8), greater-{F}(V8,V6) | FALSE
% 0.20/0.48        (used 0 times, uses = {})
% 0.20/0.48  
% 0.20/0.48  #213: mergings( V13 == V16, V8 == V9, V9 == V12, V12 == V15, V14 == V17, V10 == V11, V3 == V5, V4 == V6; #195 ), references = 1, size of lhs = 12:
% 0.20/0.48     environment-{F}(V0), P_sk1-{F}(V0), P_efficient_producers-{F}(V1), P_resilience-{F}(V1,V2), P_first_movers-{F}(V3), P_sk2-{F}(V4), P_disbanding_rate-{F}(V1,V4,V5), P_resilience-{F}(V3,V6), subpopulations-{F}(V3,V7,V0,V4), P_disbanding_rate-{F}(V7,V4,V5), P_resilience-{F}(V7,V8), greater-{F}(V8,V6) | FALSE
% 0.20/0.48        (used 0 times, uses = {})
% 0.20/0.48  
% 0.20/0.48  #231: mergings( V3 == V7, V14 == V15, V2 == V4, V7 == V5, V4 == V6, V6 == V8, V5 == V9, V8 == V10, V9 == V11; #220 ), references = 1, size of lhs = 6:
% 0.20/0.48     P_efficient_producers-{F}(V0), P_resilience-{F}(V0,V1), P_first_movers-{F}(V2), P_sk1-{F}(V3), P_sk2-{F}(V4), P_disbanding_rate-{F}(V0,V4,V5) | FALSE
% 0.20/0.48        (used 0 times, uses = {})
% 0.20/0.48  
% 0.20/0.48  #240: mergings( V4 == V7, V7 == V8, V8 == V9, V3 == V5, V9 == V6, V5 == V0; #232 ), references = 1, size of lhs = 5:
% 0.20/0.48     P_efficient_producers-{F}(V0), P_resilience-{F}(V0,V1), P_first_movers-{F}(V2), P_sk1-{F}(V3), P_sk2-{F}(V4) | FALSE
% 0.20/0.48        (used 0 times, uses = {})
% 0.20/0.48  
% 0.20/0.48  #243: exists( #10, #232 ), references = 1, size of lhs = 4:
% 0.20/0.48     P_efficient_producers-{F}(V0), P_first_movers-{F}(V1), P_sk1-{F}(V2), P_sk2-{F}(V3) | FALSE
% 0.20/0.48        (used 0 times, uses = {})
% 0.20/0.48  
% 0.20/0.48  #246: exists( #17, #241 ), references = 1, size of lhs = 3:
% 0.20/0.48     P_efficient_producers-{F}(V0), P_first_movers-{F}(V1), P_sk1-{F}(V2) | FALSE
% 0.20/0.48        (used 0 times, uses = {})
% 0.20/0.48  
% 0.20/0.48  #249: exists( #16, #244 ), references = 1, size of lhs = 2:
% 0.20/0.48     P_efficient_producers-{F}(V0), P_first_movers-{F}(V1) | FALSE
% 0.20/0.48        (used 0 times, uses = {})
% 0.20/0.48  
% 0.20/0.48  #252: exists( #15, #247 ), references = 1, size of lhs = 1:
% 0.20/0.48     P_efficient_producers-{F}(V0) | FALSE
% 0.20/0.48        (used 0 times, uses = {})
% 0.20/0.48  
% 0.20/0.48  #255: exists( #14, #250 ), references = 1, size of lhs = 0:
% 0.20/0.48     FALSE | FALSE
% 0.20/0.48        (used 0 times, uses = {})
% 0.20/0.48  
% 0.20/0.48  number of learnt formulas = 24
% 0.20/0.48  
% 0.20/0.48  
% 0.20/0.48  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48  
% 0.20/0.48  randbase = 1
%------------------------------------------------------------------------------