TSTP Solution File: PUZ008-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : PUZ008-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n012.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 06:14:15 EDT 2022

% Result   : Unsatisfiable 3.05s 3.25s
% Output   : Refutation 3.05s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : PUZ008-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n012.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 07:04:30 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 3.05/3.25  GeoParameters:
% 3.05/3.25  
% 3.05/3.25  tptp_input =     1
% 3.05/3.25  tptp_output =    0
% 3.05/3.25  nonempty =       1
% 3.05/3.25  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.05/3.25  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 3.05/3.25  
% 3.05/3.25  
% 3.05/3.25  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.05/3.25  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.05/3.25  
% 3.05/3.25  RuleSystem INPUT:
% 3.05/3.25  
% 3.05/3.25  Initial Rules:
% 3.05/3.25  #0: input, references = 3, size of lhs = 15:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V1), P_m-{F}(V2,V6), P_s-{F}(V3,V7), P_c-{F}(V7,V8), P_west-{F}(V6,V8,V9), P_m-{F}(V4,V10), P_c-{F}(V5,V11), P_east-{F}(V10,V11,V12), P_c-{F}(V3,V13), P_west-{F}(V6,V13,V14), P_s-{F}(V5,V15), P_c-{F}(V15,V16), P_east-{F}(V10,V16,V17), achievable-{F}(V9,V0,V12) | achievable-{T}(V14,V1,V17)
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #1: input, references = 3, size of lhs = 15:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V1), P_m-{F}(V2,V6), P_c-{F}(V3,V7), P_west-{F}(V6,V7,V8), P_m-{F}(V4,V9), P_s-{F}(V5,V10), P_c-{F}(V10,V11), P_east-{F}(V9,V11,V12), P_s-{F}(V3,V13), P_c-{F}(V13,V14), P_west-{F}(V6,V14,V15), P_c-{F}(V5,V16), P_east-{F}(V9,V16,V17), achievable-{F}(V8,V1,V12) | achievable-{T}(V15,V0,V17)
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #2: input, references = 4, size of lhs = 17:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V1), P_m-{F}(V2,V6), P_s-{F}(V3,V7), P_s-{F}(V7,V8), P_c-{F}(V8,V9), P_west-{F}(V6,V9,V10), P_m-{F}(V4,V11), P_c-{F}(V5,V12), P_east-{F}(V11,V12,V13), P_c-{F}(V3,V14), P_west-{F}(V6,V14,V15), P_s-{F}(V5,V16), P_s-{F}(V16,V17), P_c-{F}(V17,V18), P_east-{F}(V11,V18,V19), achievable-{F}(V10,V0,V13) | achievable-{T}(V15,V1,V19)
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #3: input, references = 3, size of lhs = 17:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V1), P_m-{F}(V2,V6), P_c-{F}(V3,V7), P_west-{F}(V6,V7,V8), P_m-{F}(V4,V9), P_s-{F}(V5,V10), P_s-{F}(V10,V11), P_c-{F}(V11,V12), P_east-{F}(V9,V12,V13), P_s-{F}(V3,V14), P_s-{F}(V14,V15), P_c-{F}(V15,V16), P_west-{F}(V6,V16,V17), P_c-{F}(V5,V18), P_east-{F}(V9,V18,V19), achievable-{F}(V8,V1,V13) | achievable-{T}(V17,V0,V19)
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #4: input, references = 4, size of lhs = 15:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V1), P_s-{F}(V2,V6), P_m-{F}(V6,V7), P_c-{F}(V3,V8), P_west-{F}(V7,V8,V9), P_m-{F}(V4,V10), P_c-{F}(V5,V11), P_east-{F}(V10,V11,V12), P_m-{F}(V2,V13), P_west-{F}(V13,V8,V14), P_s-{F}(V4,V15), P_m-{F}(V15,V16), P_east-{F}(V16,V11,V17), achievable-{F}(V9,V0,V12) | achievable-{T}(V14,V1,V17)
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #5: input, references = 3, size of lhs = 15:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V1), P_m-{F}(V2,V6), P_c-{F}(V3,V7), P_west-{F}(V6,V7,V8), P_s-{F}(V4,V9), P_m-{F}(V9,V10), P_c-{F}(V5,V11), P_east-{F}(V10,V11,V12), P_s-{F}(V2,V13), P_m-{F}(V13,V14), P_west-{F}(V14,V7,V15), P_m-{F}(V4,V16), P_east-{F}(V16,V11,V17), achievable-{F}(V8,V1,V12) | achievable-{T}(V15,V0,V17)
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #6: input, references = 3, size of lhs = 17:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V1), P_s-{F}(V2,V6), P_s-{F}(V6,V7), P_m-{F}(V7,V8), P_c-{F}(V3,V9), P_west-{F}(V8,V9,V10), P_m-{F}(V4,V11), P_c-{F}(V5,V12), P_east-{F}(V11,V12,V13), P_m-{F}(V2,V14), P_west-{F}(V14,V9,V15), P_s-{F}(V4,V16), P_s-{F}(V16,V17), P_m-{F}(V17,V18), P_east-{F}(V18,V12,V19), achievable-{F}(V10,V0,V13) | achievable-{T}(V15,V1,V19)
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #7: input, references = 3, size of lhs = 17:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V1), P_m-{F}(V2,V6), P_c-{F}(V3,V7), P_west-{F}(V6,V7,V8), P_s-{F}(V4,V9), P_s-{F}(V9,V10), P_m-{F}(V10,V11), P_c-{F}(V5,V12), P_east-{F}(V11,V12,V13), P_s-{F}(V2,V14), P_s-{F}(V14,V15), P_m-{F}(V15,V16), P_west-{F}(V16,V7,V17), P_m-{F}(V4,V18), P_east-{F}(V18,V12,V19), achievable-{F}(V8,V1,V13) | achievable-{T}(V17,V0,V19)
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #8: input, references = 3, size of lhs = 19:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V1), P_s-{F}(V2,V6), P_m-{F}(V6,V7), P_s-{F}(V3,V8), P_c-{F}(V8,V9), P_west-{F}(V7,V9,V10), P_m-{F}(V4,V11), P_c-{F}(V5,V12), P_east-{F}(V11,V12,V13), P_m-{F}(V2,V14), P_c-{F}(V3,V15), P_west-{F}(V14,V15,V16), P_s-{F}(V4,V17), P_m-{F}(V17,V18), P_s-{F}(V5,V19), P_c-{F}(V19,V20), P_east-{F}(V18,V20,V21), achievable-{F}(V10,V0,V13) | achievable-{T}(V16,V1,V21)
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #9: input, references = 3, size of lhs = 19:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V1), P_m-{F}(V2,V6), P_c-{F}(V3,V7), P_west-{F}(V6,V7,V8), P_s-{F}(V4,V9), P_m-{F}(V9,V10), P_s-{F}(V5,V11), P_c-{F}(V11,V12), P_east-{F}(V10,V12,V13), P_s-{F}(V2,V14), P_m-{F}(V14,V15), P_s-{F}(V3,V16), P_c-{F}(V16,V17), P_west-{F}(V15,V17,V18), P_m-{F}(V4,V19), P_c-{F}(V5,V20), P_east-{F}(V19,V20,V21), achievable-{F}(V8,V1,V13) | achievable-{T}(V18,V0,V21)
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #10: input, references = 6, size of lhs = 9:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V1), #-{F} V3, P_s-{F}(V2,V6), P_m-{F}(V6,V7), P_s-{F}(V6,V8), P_c-{F}(V8,V9), P_west-{F}(V7,V9,V10), P_east-{F}(V4,V5,V11) | achievable-{T}(V10,V3,V11)
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #11: input, references = 3, size of lhs = 10:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V1), #-{F} V3, P_s-{F}(V2,V6), P_m-{F}(V6,V7), P_s-{F}(V6,V8), P_s-{F}(V8,V9), P_c-{F}(V9,V10), P_west-{F}(V7,V10,V11), P_east-{F}(V4,V5,V12) | achievable-{T}(V11,V3,V12)
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #12: input, references = 6, size of lhs = 9:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V1), #-{F} V4, P_west-{F}(V2,V3,V6), P_s-{F}(V5,V7), P_m-{F}(V7,V8), P_s-{F}(V7,V9), P_c-{F}(V9,V10), P_east-{F}(V8,V10,V11) | achievable-{T}(V6,V4,V11)
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #13: input, references = 3, size of lhs = 10:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V1), #-{F} V4, P_west-{F}(V2,V3,V6), P_s-{F}(V5,V7), P_m-{F}(V7,V8), P_s-{F}(V7,V9), P_s-{F}(V9,V10), P_c-{F}(V10,V11), P_east-{F}(V8,V11,V12) | achievable-{T}(V6,V4,V12)
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #14: input, references = 3, size of lhs = 12:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V1), P_n0-{F}(V2), P_s-{F}(V2,V3), P_s-{F}(V3,V4), P_s-{F}(V4,V5), P_m-{F}(V5,V6), P_c-{F}(V5,V7), P_west-{F}(V6,V7,V8), P_m-{F}(V2,V9), P_c-{F}(V2,V10), P_east-{F}(V9,V10,V11) | achievable-{T}(V8,V0,V11)
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #15: input, references = 5, size of lhs = 15:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V1), P_n0-{F}(V2), P_s-{F}(V2,V3), P_s-{F}(V3,V4), P_s-{F}(V4,V5), P_m-{F}(V5,V6), P_c-{F}(V5,V7), P_west-{F}(V6,V7,V8), P_m-{F}(V2,V9), P_c-{F}(V2,V10), P_east-{F}(V9,V10,V11), P_west-{F}(V9,V10,V12), P_east-{F}(V6,V7,V13), achievable-{F}(V12,V14,V13) | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #16: input, references = 16, size of lhs = 2:
% 3.05/3.25     #-{F} V0, #-{F} V1 | EXISTS V2: P_west-{T}(V0,V1,V2)
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #17: input, references = 12, size of lhs = 1:
% 3.05/3.25     #-{F} V0 | EXISTS V1: P_m-{T}(V0,V1)
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #18: input, references = 10, size of lhs = 1:
% 3.05/3.25     #-{F} V0 | EXISTS V1: P_c-{T}(V0,V1)
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #19: input, references = 10, size of lhs = 1:
% 3.05/3.25     #-{F} V0 | EXISTS V1: P_s-{T}(V0,V1)
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #20: input, references = 4, size of lhs = 0:
% 3.05/3.25     FALSE | EXISTS V0: P_boatonwest-{T}(V0)
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #21: input, references = 13, size of lhs = 2:
% 3.05/3.25     #-{F} V0, #-{F} V1 | EXISTS V2: P_east-{T}(V0,V1,V2)
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #22: input, references = 4, size of lhs = 0:
% 3.05/3.25     FALSE | EXISTS V0: P_boatoneast-{T}(V0)
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #23: input, references = 5, size of lhs = 0:
% 3.05/3.25     FALSE | EXISTS V0: P_n0-{T}(V0)
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  number of initial rules = 24
% 3.05/3.25  
% 3.05/3.25  Simplifiers:
% 3.05/3.25  #24: unsound, references = 3, size of lhs = 3:
% 3.05/3.25     P_west-{F}(V0,V1,V2), P_west-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #25: unsound, references = 3, size of lhs = 3:
% 3.05/3.25     P_m-{F}(V0,V1), P_m-{F}(V0,V3), V1 == V3 | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #26: unsound, references = 3, size of lhs = 3:
% 3.05/3.25     P_c-{F}(V0,V1), P_c-{F}(V0,V3), V1 == V3 | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #27: unsound, references = 3, size of lhs = 3:
% 3.05/3.25     P_s-{F}(V0,V1), P_s-{F}(V0,V3), V1 == V3 | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #28: unsound, references = 3, size of lhs = 3:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatonwest-{F}(V1), V0 == V1 | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #29: unsound, references = 3, size of lhs = 3:
% 3.05/3.25     P_east-{F}(V0,V1,V2), P_east-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #30: unsound, references = 3, size of lhs = 3:
% 3.05/3.25     P_boatoneast-{F}(V0), P_boatoneast-{F}(V1), V0 == V1 | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #31: unsound, references = 3, size of lhs = 3:
% 3.05/3.25     P_n0-{F}(V0), P_n0-{F}(V1), V0 == V1 | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  number of simplifiers = 8
% 3.05/3.25  
% 3.05/3.25  Learnt:
% 3.05/3.25  #37: mergings( V11 == V12, V3 == V5, V4 == V6; #33 ), references = 1, size of lhs = 16:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V1), P_n0-{F}(V2), P_s-{F}(V2,V3), P_s-{F}(V3,V4), P_s-{F}(V4,V5), P_m-{F}(V5,V6), P_m-{F}(V2,V6), P_c-{F}(V5,V7), P_c-{F}(V2,V7), P_west-{F}(V6,V7,V8), P_m-{F}(V9,V6), P_s-{F}(V10,V9), P_s-{F}(V9,V11), P_c-{F}(V11,V7), P_west-{F}(V12,V13,V8) | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #41: mergings( V3 == V5, V4 == V6; #38 ), references = 1, size of lhs = 14:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V1), P_n0-{F}(V2), P_s-{F}(V2,V3), P_s-{F}(V3,V4), P_s-{F}(V4,V5), P_m-{F}(V5,V6), P_m-{F}(V2,V6), P_c-{F}(V5,V7), P_c-{F}(V2,V7), P_m-{F}(V8,V6), P_s-{F}(V9,V8), P_s-{F}(V8,V10), P_c-{F}(V10,V7) | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #46: mergings( V3 == V5, V4 == V6; #43 ), references = 5, size of lhs = 25:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V1), P_n0-{F}(V2), P_s-{F}(V2,V3), P_s-{F}(V3,V4), P_s-{F}(V4,V5), P_m-{F}(V5,V6), P_c-{F}(V5,V7), P_west-{F}(V6,V7,V8), P_m-{F}(V2,V9), P_c-{F}(V2,V10), P_east-{F}(V9,V10,V11), P_west-{F}(V9,V10,V12), P_c-{F}(V13,V7), P_m-{F}(V14,V6), P_s-{F}(V15,V14), P_m-{F}(V15,V16), P_east-{F}(V16,V7,V17), achievable-{F}(V18,V0,V17), P_s-{F}(V19,V20), P_m-{F}(V20,V21), P_m-{F}(V19,V22), P_west-{F}(V22,V23,V12), P_west-{F}(V21,V23,V18), P_c-{F}(V24,V23) | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #51: mergings( V3 == V5, V4 == V6; #48 ), references = 2, size of lhs = 27:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V1), P_n0-{F}(V2), P_s-{F}(V2,V3), P_s-{F}(V3,V4), P_s-{F}(V4,V5), P_m-{F}(V5,V6), P_c-{F}(V5,V7), P_m-{F}(V2,V8), P_c-{F}(V2,V9), P_east-{F}(V8,V9,V10), P_west-{F}(V8,V9,V11), P_c-{F}(V12,V7), P_c-{F}(V13,V7), P_m-{F}(V14,V6), P_s-{F}(V15,V14), P_m-{F}(V15,V16), P_east-{F}(V16,V7,V17), P_m-{F}(V18,V6), P_s-{F}(V19,V18), P_m-{F}(V19,V20), P_west-{F}(V20,V7,V11), P_s-{F}(V21,V22), P_m-{F}(V22,V23), P_s-{F}(V22,V24), P_c-{F}(V24,V25), P_east-{F}(V23,V25,V17) | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #53: exists( #21, #51 ), references = 1, size of lhs = 25:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V1), P_n0-{F}(V2), P_s-{F}(V2,V3), P_s-{F}(V3,V4), P_s-{F}(V4,V5), P_m-{F}(V5,V6), P_c-{F}(V5,V7), P_m-{F}(V2,V8), P_c-{F}(V2,V9), P_east-{F}(V8,V9,V10), P_west-{F}(V8,V9,V11), P_c-{F}(V12,V7), P_c-{F}(V13,V7), P_m-{F}(V14,V6), P_s-{F}(V15,V14), P_m-{F}(V15,V16), P_m-{F}(V17,V6), P_s-{F}(V18,V17), P_m-{F}(V18,V19), P_west-{F}(V19,V7,V11), P_m-{F}(V20,V16), P_s-{F}(V21,V20), P_s-{F}(V20,V22), P_c-{F}(V22,V7) | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #58: mergings( V3 == V5, V4 == V6; #55 ), references = 1, size of lhs = 28:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V1), P_n0-{F}(V2), P_s-{F}(V2,V3), P_s-{F}(V3,V4), P_s-{F}(V4,V5), P_m-{F}(V5,V6), P_c-{F}(V5,V7), P_west-{F}(V6,V7,V8), P_m-{F}(V2,V9), P_c-{F}(V2,V10), P_east-{F}(V9,V10,V11), P_west-{F}(V9,V10,V12), P_c-{F}(V13,V7), P_m-{F}(V14,V6), P_s-{F}(V15,V14), P_m-{F}(V15,V16), P_s-{F}(V17,V18), P_m-{F}(V18,V19), P_s-{F}(V18,V20), P_c-{F}(V20,V21), P_west-{F}(V19,V21,V22), P_s-{F}(V23,V24), P_m-{F}(V24,V25), P_m-{F}(V23,V26), P_west-{F}(V26,V27,V12), P_west-{F}(V25,V27,V22), P_c-{F}(V28,V27) | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #62: mergings( V3 == V5, V4 == V6; #59 ), references = 2, size of lhs = 27:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V1), P_n0-{F}(V2), P_s-{F}(V2,V3), P_s-{F}(V3,V4), P_s-{F}(V4,V5), P_m-{F}(V5,V6), P_c-{F}(V5,V7), P_m-{F}(V2,V8), P_c-{F}(V2,V9), P_east-{F}(V8,V9,V10), P_west-{F}(V8,V9,V11), P_c-{F}(V12,V7), P_m-{F}(V13,V6), P_s-{F}(V14,V13), P_m-{F}(V14,V15), P_s-{F}(V16,V17), P_m-{F}(V17,V18), P_s-{F}(V17,V19), P_c-{F}(V19,V20), P_west-{F}(V18,V20,V21), P_s-{F}(V22,V23), P_m-{F}(V23,V24), P_m-{F}(V22,V25), P_west-{F}(V25,V26,V11), P_west-{F}(V24,V26,V21), P_c-{F}(V27,V26) | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #64: exists( #18, #62 ), references = 2, size of lhs = 25:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V1), P_n0-{F}(V2), P_s-{F}(V2,V3), P_s-{F}(V3,V4), P_s-{F}(V4,V5), P_m-{F}(V5,V6), P_m-{F}(V2,V7), P_c-{F}(V2,V8), P_east-{F}(V7,V8,V9), P_west-{F}(V7,V8,V10), P_m-{F}(V11,V6), P_s-{F}(V12,V11), P_m-{F}(V12,V13), P_s-{F}(V14,V15), P_m-{F}(V15,V16), P_s-{F}(V15,V17), P_c-{F}(V17,V18), P_west-{F}(V16,V18,V19), P_s-{F}(V20,V21), P_m-{F}(V21,V22), P_m-{F}(V20,V23), P_west-{F}(V23,V24,V10), P_west-{F}(V22,V24,V19), P_c-{F}(V25,V24) | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #66: exists( #17, #63 ), references = 2, size of lhs = 23:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V1), P_n0-{F}(V2), P_s-{F}(V2,V3), P_s-{F}(V3,V4), P_s-{F}(V4,V5), P_m-{F}(V2,V6), P_c-{F}(V2,V7), P_east-{F}(V6,V7,V8), P_west-{F}(V6,V7,V9), P_s-{F}(V10,V5), P_m-{F}(V10,V11), P_s-{F}(V12,V13), P_m-{F}(V13,V14), P_s-{F}(V13,V15), P_c-{F}(V15,V16), P_west-{F}(V14,V16,V17), P_s-{F}(V18,V19), P_m-{F}(V19,V20), P_m-{F}(V18,V21), P_west-{F}(V21,V22,V9), P_west-{F}(V20,V22,V17), P_c-{F}(V23,V22) | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #68: exists( #19, #65 ), references = 2, size of lhs = 21:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V1), P_n0-{F}(V2), P_s-{F}(V2,V3), P_s-{F}(V3,V4), P_m-{F}(V2,V5), P_c-{F}(V2,V6), P_east-{F}(V5,V6,V7), P_west-{F}(V5,V6,V8), P_m-{F}(V4,V9), P_s-{F}(V10,V11), P_m-{F}(V11,V12), P_s-{F}(V11,V13), P_c-{F}(V13,V14), P_west-{F}(V12,V14,V15), P_s-{F}(V16,V17), P_m-{F}(V17,V18), P_m-{F}(V16,V19), P_west-{F}(V19,V20,V8), P_west-{F}(V18,V20,V15), P_c-{F}(V21,V20) | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #73: mergings( V3 == V4, V4 == V5; #70 ), references = 1, size of lhs = 37:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V0), P_n0-{F}(V1), P_s-{F}(V1,V2), P_s-{F}(V2,V3), P_s-{F}(V3,V4), P_m-{F}(V4,V5), P_c-{F}(V4,V6), P_west-{F}(V5,V6,V7), P_m-{F}(V1,V8), P_c-{F}(V1,V9), P_east-{F}(V8,V9,V10), P_west-{F}(V8,V9,V11), P_c-{F}(V12,V6), P_m-{F}(V13,V5), P_s-{F}(V14,V13), P_m-{F}(V14,V15), P_m-{F}(V16,V15), P_c-{F}(V17,V6), P_s-{F}(V18,V17), P_s-{F}(V19,V18), P_c-{F}(V19,V20), P_east-{F}(V15,V20,V21), achievable-{F}(V22,V0,V21), P_m-{F}(V23,V24), P_west-{F}(V24,V25,V22), P_c-{F}(V26,V25), P_s-{F}(V27,V26), P_s-{F}(V28,V27), P_c-{F}(V28,V29), P_west-{F}(V24,V29,V30), P_s-{F}(V31,V32), P_m-{F}(V32,V33), P_m-{F}(V31,V34), P_west-{F}(V34,V35,V11), P_west-{F}(V33,V35,V30), P_c-{F}(V36,V35) | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #77: mergings( V3 == V4, V4 == V5; #74 ), references = 1, size of lhs = 36:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V0), P_n0-{F}(V1), P_s-{F}(V1,V2), P_s-{F}(V2,V3), P_s-{F}(V3,V4), P_m-{F}(V4,V5), P_c-{F}(V4,V6), P_m-{F}(V1,V7), P_c-{F}(V1,V8), P_east-{F}(V7,V8,V9), P_west-{F}(V7,V8,V10), P_c-{F}(V11,V6), P_m-{F}(V12,V5), P_s-{F}(V13,V12), P_m-{F}(V13,V14), P_m-{F}(V15,V14), P_c-{F}(V16,V6), P_s-{F}(V17,V16), P_s-{F}(V18,V17), P_c-{F}(V18,V19), P_east-{F}(V14,V19,V20), achievable-{F}(V21,V0,V20), P_m-{F}(V22,V23), P_west-{F}(V23,V24,V21), P_c-{F}(V25,V24), P_s-{F}(V26,V25), P_s-{F}(V27,V26), P_c-{F}(V27,V28), P_west-{F}(V23,V28,V29), P_s-{F}(V30,V31), P_m-{F}(V31,V32), P_m-{F}(V30,V33), P_west-{F}(V33,V34,V10), P_west-{F}(V32,V34,V29), P_c-{F}(V35,V34) | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #81: mergings( V2 == V3, V3 == V4; #78 ), references = 1, size of lhs = 33:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V0), P_n0-{F}(V1), P_s-{F}(V1,V2), P_s-{F}(V2,V3), P_s-{F}(V3,V4), P_m-{F}(V4,V5), P_m-{F}(V1,V6), P_c-{F}(V1,V7), P_east-{F}(V6,V7,V8), P_west-{F}(V6,V7,V9), P_m-{F}(V10,V5), P_s-{F}(V11,V10), P_m-{F}(V11,V12), P_m-{F}(V13,V12), P_s-{F}(V14,V4), P_s-{F}(V15,V14), P_c-{F}(V15,V16), P_east-{F}(V12,V16,V17), achievable-{F}(V18,V0,V17), P_m-{F}(V19,V20), P_west-{F}(V20,V21,V18), P_c-{F}(V22,V21), P_s-{F}(V23,V22), P_s-{F}(V24,V23), P_c-{F}(V24,V25), P_west-{F}(V20,V25,V26), P_s-{F}(V27,V28), P_m-{F}(V28,V29), P_m-{F}(V27,V30), P_west-{F}(V30,V31,V9), P_west-{F}(V29,V31,V26), P_c-{F}(V32,V31) | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #85: mergings( V2 == V3, V3 == V4; #82 ), references = 1, size of lhs = 31:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V0), P_n0-{F}(V1), P_s-{F}(V1,V2), P_s-{F}(V2,V3), P_s-{F}(V3,V4), P_m-{F}(V1,V5), P_c-{F}(V1,V6), P_east-{F}(V5,V6,V7), P_west-{F}(V5,V6,V8), P_s-{F}(V9,V4), P_m-{F}(V9,V10), P_m-{F}(V11,V10), P_s-{F}(V12,V4), P_s-{F}(V13,V12), P_c-{F}(V13,V14), P_east-{F}(V10,V14,V15), achievable-{F}(V16,V0,V15), P_m-{F}(V17,V18), P_west-{F}(V18,V19,V16), P_c-{F}(V20,V19), P_s-{F}(V21,V20), P_s-{F}(V22,V21), P_c-{F}(V22,V23), P_west-{F}(V18,V23,V24), P_s-{F}(V25,V26), P_m-{F}(V26,V27), P_m-{F}(V25,V28), P_west-{F}(V28,V29,V8), P_west-{F}(V27,V29,V24), P_c-{F}(V30,V29) | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #89: mergings( V2 == V3, V3 == V4; #86 ), references = 2, size of lhs = 28:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V0), P_n0-{F}(V1), P_s-{F}(V1,V2), P_s-{F}(V2,V3), P_m-{F}(V1,V4), P_c-{F}(V1,V5), P_east-{F}(V4,V5,V6), P_west-{F}(V4,V5,V7), P_m-{F}(V3,V8), P_m-{F}(V9,V8), P_s-{F}(V10,V3), P_c-{F}(V10,V11), P_east-{F}(V8,V11,V12), achievable-{F}(V13,V0,V12), P_m-{F}(V14,V15), P_west-{F}(V15,V16,V13), P_c-{F}(V17,V16), P_s-{F}(V18,V17), P_s-{F}(V19,V18), P_c-{F}(V19,V20), P_west-{F}(V15,V20,V21), P_s-{F}(V22,V23), P_m-{F}(V23,V24), P_m-{F}(V22,V25), P_west-{F}(V25,V26,V7), P_west-{F}(V24,V26,V21), P_c-{F}(V27,V26) | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #93: exists( #16, #68 ), references = 1, size of lhs = 19:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V1), P_n0-{F}(V2), P_s-{F}(V2,V3), P_s-{F}(V3,V4), P_m-{F}(V2,V5), P_c-{F}(V2,V6), P_east-{F}(V5,V6,V7), P_west-{F}(V5,V6,V8), P_m-{F}(V4,V9), P_s-{F}(V10,V11), P_m-{F}(V11,V12), P_s-{F}(V11,V13), P_c-{F}(V13,V14), P_c-{F}(V15,V14), P_m-{F}(V16,V12), P_s-{F}(V17,V16), P_m-{F}(V17,V18), P_west-{F}(V18,V14,V8) | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #94: exists( #16, #66 ), references = 1, size of lhs = 21:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V1), P_n0-{F}(V2), P_s-{F}(V2,V3), P_s-{F}(V3,V4), P_s-{F}(V4,V5), P_m-{F}(V2,V6), P_c-{F}(V2,V7), P_east-{F}(V6,V7,V8), P_west-{F}(V6,V7,V9), P_s-{F}(V10,V5), P_m-{F}(V10,V11), P_s-{F}(V12,V13), P_m-{F}(V13,V14), P_s-{F}(V13,V15), P_c-{F}(V15,V16), P_c-{F}(V17,V16), P_m-{F}(V18,V14), P_s-{F}(V19,V18), P_m-{F}(V19,V20), P_west-{F}(V20,V16,V9) | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #95: exists( #16, #64 ), references = 1, size of lhs = 23:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V1), P_n0-{F}(V2), P_s-{F}(V2,V3), P_s-{F}(V3,V4), P_s-{F}(V4,V5), P_m-{F}(V5,V6), P_m-{F}(V2,V7), P_c-{F}(V2,V8), P_east-{F}(V7,V8,V9), P_west-{F}(V7,V8,V10), P_m-{F}(V11,V6), P_s-{F}(V12,V11), P_m-{F}(V12,V13), P_s-{F}(V14,V15), P_m-{F}(V15,V16), P_s-{F}(V15,V17), P_c-{F}(V17,V18), P_c-{F}(V19,V18), P_m-{F}(V20,V16), P_s-{F}(V21,V20), P_m-{F}(V21,V22), P_west-{F}(V22,V18,V10) | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #104: mergings( V3 == V5, V4 == V5; #99 ), references = 1, size of lhs = 31:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V0), P_n0-{F}(V1), P_s-{F}(V1,V2), P_s-{F}(V2,V3), P_m-{F}(V1,V4), P_c-{F}(V1,V5), P_east-{F}(V4,V5,V6), P_west-{F}(V4,V5,V7), P_m-{F}(V3,V8), P_m-{F}(V9,V8), P_s-{F}(V10,V3), P_c-{F}(V10,V11), P_east-{F}(V8,V11,V12), P_s-{F}(V13,V14), P_m-{F}(V14,V15), P_s-{F}(V14,V16), P_c-{F}(V16,V17), P_m-{F}(V18,V15), P_c-{F}(V19,V17), P_s-{F}(V20,V19), P_s-{F}(V21,V20), P_c-{F}(V21,V22), P_west-{F}(V15,V22,V23), P_east-{F}(V24,V25,V12), P_s-{F}(V26,V27), P_m-{F}(V27,V28), P_m-{F}(V26,V29), P_west-{F}(V29,V30,V7), P_west-{F}(V28,V30,V23), P_c-{F}(V31,V30) | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #108: mergings( V2 == V4, V3 == V4; #105 ), references = 1, size of lhs = 29:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V0), P_n0-{F}(V1), P_s-{F}(V1,V2), P_s-{F}(V2,V3), P_m-{F}(V1,V4), P_c-{F}(V1,V5), P_east-{F}(V4,V5,V6), P_west-{F}(V4,V5,V7), P_m-{F}(V3,V8), P_m-{F}(V9,V8), P_s-{F}(V10,V3), P_c-{F}(V10,V11), P_east-{F}(V8,V11,V12), P_s-{F}(V13,V14), P_m-{F}(V14,V15), P_s-{F}(V14,V16), P_m-{F}(V17,V15), P_s-{F}(V18,V16), P_s-{F}(V19,V18), P_c-{F}(V19,V20), P_west-{F}(V15,V20,V21), P_east-{F}(V22,V23,V12), P_s-{F}(V24,V25), P_m-{F}(V25,V26), P_m-{F}(V24,V27), P_west-{F}(V27,V28,V7), P_west-{F}(V26,V28,V21), P_c-{F}(V29,V28) | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #112: mergings( V3 == V5, V4 == V5; #109 ), references = 2, size of lhs = 27:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V0), P_n0-{F}(V1), P_s-{F}(V1,V2), P_s-{F}(V2,V3), P_m-{F}(V1,V4), P_c-{F}(V1,V5), P_east-{F}(V4,V5,V6), P_west-{F}(V4,V5,V7), P_m-{F}(V3,V8), P_m-{F}(V9,V8), P_s-{F}(V10,V3), P_c-{F}(V10,V11), P_east-{F}(V8,V11,V12), P_s-{F}(V13,V14), P_m-{F}(V14,V15), P_s-{F}(V14,V16), P_m-{F}(V17,V15), P_s-{F}(V18,V16), P_s-{F}(V19,V18), P_c-{F}(V19,V20), P_c-{F}(V21,V20), P_m-{F}(V22,V15), P_s-{F}(V23,V22), P_m-{F}(V23,V24), P_west-{F}(V24,V20,V7), P_east-{F}(V25,V26,V12) | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #115: exists( #21, #112 ), references = 1, size of lhs = 25:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V0), P_n0-{F}(V1), P_s-{F}(V1,V2), P_s-{F}(V2,V3), P_m-{F}(V1,V4), P_c-{F}(V1,V5), P_east-{F}(V4,V5,V6), P_west-{F}(V4,V5,V7), P_m-{F}(V3,V8), P_m-{F}(V9,V8), P_s-{F}(V10,V3), P_c-{F}(V10,V11), P_s-{F}(V12,V13), P_m-{F}(V13,V14), P_s-{F}(V13,V15), P_m-{F}(V16,V14), P_s-{F}(V17,V15), P_s-{F}(V18,V17), P_c-{F}(V18,V19), P_c-{F}(V20,V19), P_m-{F}(V21,V14), P_s-{F}(V22,V21), P_m-{F}(V22,V23), P_west-{F}(V23,V19,V7) | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #117: exists( #17, #113 ), references = 1, size of lhs = 23:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V0), P_n0-{F}(V1), P_s-{F}(V1,V2), P_s-{F}(V2,V3), P_m-{F}(V1,V4), P_c-{F}(V1,V5), P_east-{F}(V4,V5,V6), P_west-{F}(V4,V5,V7), P_s-{F}(V8,V3), P_c-{F}(V8,V9), P_s-{F}(V10,V11), P_m-{F}(V11,V12), P_s-{F}(V11,V13), P_m-{F}(V14,V12), P_s-{F}(V15,V13), P_s-{F}(V16,V15), P_c-{F}(V16,V17), P_c-{F}(V18,V17), P_m-{F}(V19,V12), P_s-{F}(V20,V19), P_m-{F}(V20,V21), P_west-{F}(V21,V17,V7) | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #119: exists( #19, #116 ), references = 1, size of lhs = 19:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V0), P_n0-{F}(V1), P_s-{F}(V1,V2), P_m-{F}(V1,V3), P_c-{F}(V1,V4), P_east-{F}(V3,V4,V5), P_west-{F}(V3,V4,V6), P_c-{F}(V2,V7), P_s-{F}(V8,V2), P_m-{F}(V2,V9), P_m-{F}(V10,V9), P_s-{F}(V11,V2), P_c-{F}(V11,V12), P_c-{F}(V13,V12), P_m-{F}(V14,V9), P_s-{F}(V15,V14), P_m-{F}(V15,V16), P_west-{F}(V16,V12,V6) | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #121: exists( #18, #118 ), references = 1, size of lhs = 18:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V0), P_n0-{F}(V1), P_s-{F}(V1,V2), P_m-{F}(V1,V3), P_c-{F}(V1,V4), P_east-{F}(V3,V4,V5), P_west-{F}(V3,V4,V6), P_s-{F}(V7,V2), P_m-{F}(V2,V8), P_m-{F}(V9,V8), P_s-{F}(V10,V2), P_c-{F}(V10,V11), P_c-{F}(V12,V11), P_m-{F}(V13,V8), P_s-{F}(V14,V13), P_m-{F}(V14,V15), P_west-{F}(V15,V11,V6) | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #123: exists( #17, #120 ), references = 1, size of lhs = 15:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V0), P_n0-{F}(V1), P_s-{F}(V1,V2), P_m-{F}(V1,V3), P_c-{F}(V1,V4), P_east-{F}(V3,V4,V5), P_west-{F}(V3,V4,V6), P_s-{F}(V7,V2), P_s-{F}(V8,V2), P_c-{F}(V8,V9), P_c-{F}(V10,V9), P_s-{F}(V11,V2), P_m-{F}(V11,V12), P_west-{F}(V12,V9,V6) | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #125: exists( #21, #122 ), references = 1, size of lhs = 14:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V0), P_n0-{F}(V1), P_s-{F}(V1,V2), P_m-{F}(V1,V3), P_c-{F}(V1,V4), P_west-{F}(V3,V4,V5), P_s-{F}(V6,V2), P_s-{F}(V7,V2), P_c-{F}(V7,V8), P_c-{F}(V9,V8), P_s-{F}(V10,V2), P_m-{F}(V10,V11), P_west-{F}(V11,V8,V5) | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #127: exists( #16, #124 ), references = 1, size of lhs = 12:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V0), P_n0-{F}(V1), P_s-{F}(V1,V2), P_m-{F}(V1,V3), P_c-{F}(V1,V4), P_s-{F}(V5,V2), P_s-{F}(V6,V2), P_c-{F}(V6,V4), P_c-{F}(V7,V4), P_s-{F}(V8,V2), P_m-{F}(V8,V3) | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #129: exists( #19, #126 ), references = 1, size of lhs = 6:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V0), P_n0-{F}(V1), P_c-{F}(V1,V2), P_c-{F}(V3,V2), P_m-{F}(V1,V4) | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #131: exists( #18, #128 ), references = 1, size of lhs = 4:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V0), P_n0-{F}(V1), P_m-{F}(V1,V2) | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #133: exists( #17, #130 ), references = 1, size of lhs = 3:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V0), P_n0-{F}(V1) | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #135: exists( #23, #132 ), references = 1, size of lhs = 2:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V0) | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #137: exists( #21, #46 ), references = 3, size of lhs = 24:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V1), P_n0-{F}(V2), P_s-{F}(V2,V3), P_s-{F}(V3,V4), P_s-{F}(V4,V5), P_m-{F}(V5,V6), P_c-{F}(V5,V7), P_west-{F}(V6,V7,V8), P_m-{F}(V2,V9), P_c-{F}(V2,V10), P_west-{F}(V9,V10,V11), P_c-{F}(V12,V7), P_m-{F}(V13,V6), P_s-{F}(V14,V13), P_m-{F}(V14,V15), P_east-{F}(V15,V7,V16), achievable-{F}(V17,V0,V16), P_s-{F}(V18,V19), P_m-{F}(V19,V20), P_m-{F}(V18,V21), P_west-{F}(V21,V22,V11), P_west-{F}(V20,V22,V17), P_c-{F}(V23,V22) | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #139: exists( #16, #136 ), references = 1, size of lhs = 21:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V1), P_n0-{F}(V2), P_s-{F}(V2,V3), P_s-{F}(V3,V4), P_s-{F}(V4,V5), P_m-{F}(V5,V6), P_m-{F}(V2,V6), P_c-{F}(V5,V7), P_c-{F}(V2,V7), P_c-{F}(V8,V7), P_m-{F}(V9,V6), P_s-{F}(V9,V10), P_m-{F}(V10,V11), P_west-{F}(V11,V7,V12), achievable-{F}(V12,V0,V13), P_c-{F}(V14,V7), P_m-{F}(V15,V6), P_s-{F}(V16,V15), P_m-{F}(V16,V17), P_east-{F}(V17,V7,V13) | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #145: mergings( V3 == V5, V4 == V6; #142 ), references = 1, size of lhs = 27:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V1), P_n0-{F}(V2), P_s-{F}(V2,V3), P_s-{F}(V3,V4), P_s-{F}(V4,V5), P_m-{F}(V5,V6), P_c-{F}(V5,V7), P_west-{F}(V6,V7,V8), P_m-{F}(V2,V9), P_c-{F}(V2,V10), P_west-{F}(V9,V10,V11), P_c-{F}(V12,V7), P_m-{F}(V13,V6), P_s-{F}(V14,V13), P_m-{F}(V14,V15), P_s-{F}(V16,V17), P_m-{F}(V17,V18), P_s-{F}(V17,V19), P_c-{F}(V19,V20), P_west-{F}(V18,V20,V21), P_s-{F}(V22,V23), P_m-{F}(V23,V24), P_m-{F}(V22,V25), P_west-{F}(V25,V26,V11), P_west-{F}(V24,V26,V21), P_c-{F}(V27,V26) | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #149: mergings( V3 == V5, V4 == V6; #146 ), references = 1, size of lhs = 25:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V1), P_n0-{F}(V2), P_s-{F}(V2,V3), P_s-{F}(V3,V4), P_s-{F}(V4,V5), P_m-{F}(V5,V6), P_c-{F}(V5,V7), P_west-{F}(V6,V7,V8), P_m-{F}(V2,V9), P_c-{F}(V2,V10), P_c-{F}(V11,V7), P_m-{F}(V12,V9), P_s-{F}(V12,V13), P_m-{F}(V13,V14), P_west-{F}(V14,V10,V15), P_c-{F}(V16,V10), P_m-{F}(V17,V6), P_s-{F}(V18,V17), P_m-{F}(V18,V19), P_s-{F}(V20,V21), P_m-{F}(V21,V22), P_s-{F}(V21,V23), P_c-{F}(V23,V24), P_west-{F}(V22,V24,V15) | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #154: mergings( V3 == V5, V4 == V6; #151 ), references = 1, size of lhs = 27:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V1), P_n0-{F}(V2), P_s-{F}(V2,V3), P_s-{F}(V3,V4), P_s-{F}(V4,V5), P_m-{F}(V5,V6), P_c-{F}(V5,V7), P_west-{F}(V6,V7,V8), P_m-{F}(V2,V9), P_c-{F}(V2,V10), P_west-{F}(V9,V10,V11), P_c-{F}(V12,V7), P_m-{F}(V13,V6), P_s-{F}(V14,V13), P_m-{F}(V14,V15), P_m-{F}(V16,V15), P_s-{F}(V17,V16), P_s-{F}(V16,V18), P_c-{F}(V18,V7), P_s-{F}(V19,V20), P_m-{F}(V20,V21), P_m-{F}(V19,V22), P_west-{F}(V22,V23,V11), P_west-{F}(V21,V23,V24), P_c-{F}(V25,V23), P_west-{F}(V26,V27,V24) | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #158: mergings( V3 == V5, V4 == V6; #155 ), references = 1, size of lhs = 25:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V1), P_n0-{F}(V2), P_s-{F}(V2,V3), P_s-{F}(V3,V4), P_s-{F}(V4,V5), P_m-{F}(V5,V6), P_c-{F}(V5,V7), P_west-{F}(V6,V7,V8), P_m-{F}(V2,V9), P_c-{F}(V2,V10), P_c-{F}(V11,V7), P_m-{F}(V12,V9), P_s-{F}(V12,V13), P_m-{F}(V13,V14), P_west-{F}(V14,V10,V15), P_c-{F}(V16,V10), P_m-{F}(V17,V6), P_s-{F}(V18,V17), P_m-{F}(V18,V19), P_m-{F}(V20,V19), P_s-{F}(V21,V20), P_s-{F}(V20,V22), P_c-{F}(V22,V7), P_west-{F}(V23,V24,V15) | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #162: mergings( V3 == V5, V4 == V6; #159 ), references = 2, size of lhs = 24:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V1), P_n0-{F}(V2), P_s-{F}(V2,V3), P_s-{F}(V3,V4), P_s-{F}(V4,V5), P_m-{F}(V5,V6), P_c-{F}(V5,V7), P_m-{F}(V2,V8), P_c-{F}(V2,V9), P_c-{F}(V10,V7), P_m-{F}(V11,V8), P_s-{F}(V11,V12), P_m-{F}(V12,V13), P_west-{F}(V13,V9,V14), P_c-{F}(V15,V9), P_m-{F}(V16,V6), P_s-{F}(V17,V16), P_m-{F}(V17,V18), P_m-{F}(V19,V18), P_s-{F}(V20,V19), P_s-{F}(V19,V21), P_c-{F}(V21,V7), P_west-{F}(V22,V23,V14) | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #164: exists( #18, #162 ), references = 1, size of lhs = 21:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V1), P_n0-{F}(V2), P_s-{F}(V2,V3), P_s-{F}(V3,V4), P_s-{F}(V4,V5), P_m-{F}(V5,V6), P_m-{F}(V2,V7), P_c-{F}(V2,V8), P_m-{F}(V9,V7), P_s-{F}(V9,V10), P_m-{F}(V10,V11), P_west-{F}(V11,V8,V12), P_c-{F}(V13,V8), P_m-{F}(V14,V6), P_s-{F}(V15,V14), P_m-{F}(V15,V16), P_m-{F}(V17,V16), P_s-{F}(V17,V5), P_s-{F}(V18,V17), P_west-{F}(V19,V20,V12) | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #166: exists( #17, #163 ), references = 1, size of lhs = 19:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V1), P_n0-{F}(V2), P_s-{F}(V2,V3), P_s-{F}(V3,V4), P_s-{F}(V4,V5), P_m-{F}(V2,V6), P_c-{F}(V2,V7), P_m-{F}(V8,V6), P_s-{F}(V8,V9), P_m-{F}(V9,V10), P_west-{F}(V10,V7,V11), P_c-{F}(V12,V7), P_s-{F}(V13,V5), P_m-{F}(V13,V14), P_m-{F}(V15,V14), P_s-{F}(V15,V5), P_s-{F}(V16,V15), P_west-{F}(V17,V18,V11) | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #168: exists( #19, #165 ), references = 1, size of lhs = 15:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V1), P_n0-{F}(V2), P_s-{F}(V2,V3), P_s-{F}(V3,V4), P_m-{F}(V2,V5), P_c-{F}(V2,V6), P_m-{F}(V7,V5), P_s-{F}(V7,V8), P_m-{F}(V8,V9), P_west-{F}(V9,V6,V10), P_c-{F}(V11,V6), P_m-{F}(V4,V12), P_s-{F}(V13,V4), P_west-{F}(V14,V15,V10) | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #170: exists( #16, #167 ), references = 1, size of lhs = 13:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V1), P_n0-{F}(V2), P_s-{F}(V2,V3), P_s-{F}(V3,V4), P_m-{F}(V2,V5), P_c-{F}(V2,V6), P_m-{F}(V7,V5), P_s-{F}(V7,V8), P_m-{F}(V8,V9), P_c-{F}(V10,V6), P_m-{F}(V4,V11), P_s-{F}(V12,V4) | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #172: exists( #17, #169 ), references = 1, size of lhs = 12:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V1), P_n0-{F}(V2), P_s-{F}(V2,V3), P_s-{F}(V3,V4), P_m-{F}(V2,V5), P_c-{F}(V2,V6), P_m-{F}(V7,V5), P_s-{F}(V7,V8), P_m-{F}(V8,V9), P_c-{F}(V10,V6), P_s-{F}(V11,V4) | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #174: exists( #19, #171 ), references = 1, size of lhs = 10:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V1), P_n0-{F}(V2), P_s-{F}(V2,V3), P_m-{F}(V2,V4), P_c-{F}(V2,V5), P_m-{F}(V6,V4), P_s-{F}(V6,V7), P_m-{F}(V7,V8), P_c-{F}(V9,V5) | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #176: exists( #17, #173 ), references = 1, size of lhs = 9:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V1), P_n0-{F}(V2), P_s-{F}(V2,V3), P_m-{F}(V2,V4), P_c-{F}(V2,V5), P_m-{F}(V6,V4), P_s-{F}(V6,V7), P_c-{F}(V8,V5) | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #178: exists( #19, #175 ), references = 1, size of lhs = 6:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V1), P_n0-{F}(V2), P_c-{F}(V2,V3), P_m-{F}(V2,V4), P_c-{F}(V5,V3) | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #180: exists( #18, #177 ), references = 1, size of lhs = 4:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V1), P_n0-{F}(V2), P_m-{F}(V2,V3) | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #182: exists( #17, #179 ), references = 1, size of lhs = 3:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V1), P_n0-{F}(V2) | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #184: exists( #23, #181 ), references = 1, size of lhs = 2:
% 3.05/3.25     P_boatonwest-{F}(V0), P_boatoneast-{F}(V1) | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #186: exists( #22, #183 ), references = 1, size of lhs = 1:
% 3.05/3.25     P_boatonwest-{F}(V0) | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  #188: exists( #20, #185 ), references = 1, size of lhs = 0:
% 3.05/3.25     FALSE | FALSE
% 3.05/3.25        (used 0 times, uses = {})
% 3.05/3.25  
% 3.05/3.25  number of learnt formulas = 52
% 3.05/3.25  
% 3.05/3.25  
% 3.05/3.25  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.05/3.25  
% 3.05/3.25  randbase = 1
%------------------------------------------------------------------------------