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Geo-III---2018C.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : GRP660+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n017.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 06:04:22 EDT 2022

% Result   : Theorem 78.67s 78.83s
% Output   : Refutation 78.67s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : GRP660+2 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n017.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 13:29:13 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 78.67/78.83  GeoParameters:
% 78.67/78.83  
% 78.67/78.83  tptp_input =     1
% 78.67/78.83  tptp_output =    0
% 78.67/78.83  nonempty =       1
% 78.67/78.83  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 78.67/78.83  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 78.67/78.83  
% 78.67/78.83  
% 78.67/78.83  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 78.67/78.83  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 78.67/78.83  
% 78.67/78.83  RuleSystem INPUT:
% 78.67/78.83  
% 78.67/78.83  Initial Rules:
% 78.67/78.83  #0: input, references = 5, size of lhs = 3:
% 78.67/78.83     P_ld-{F}(V1,V0,V2), P_mult-{F}(V1,V2,V3), V3 == V0 | FALSE
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #1: input, references = 10, size of lhs = 3:
% 78.67/78.83     P_mult-{F}(V1,V0,V2), P_ld-{F}(V1,V2,V3), V3 == V0 | FALSE
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #2: input, references = 5, size of lhs = 3:
% 78.67/78.83     P_rd-{F}(V1,V0,V2), P_mult-{F}(V2,V0,V3), V3 == V1 | FALSE
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #3: input, references = 10, size of lhs = 3:
% 78.67/78.83     P_mult-{F}(V1,V0,V2), P_rd-{F}(V2,V0,V3), V3 == V1 | FALSE
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #4: input, references = 16, size of lhs = 7:
% 78.67/78.83     P_mult-{F}(V2,V1,V3), P_mult-{F}(V3,V0,V4), P_mult-{F}(V4,V2,V5), P_mult-{F}(V0,V2,V6), P_mult-{F}(V1,V6,V7), P_mult-{F}(V2,V7,V8), V5 == V8 | FALSE
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #5: input, references = 4, size of lhs = 0:
% 78.67/78.83     FALSE | EXISTS V0: pppp1-{T}(V0)
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #6: input, references = 4, size of lhs = 1:
% 78.67/78.83     pppp1-{F}(V0) | EXISTS V1: pppp0-{T}(V0,V1)
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #7: input, references = 4, size of lhs = 4:
% 78.67/78.83     pppp0-{F}(V0,V1), P_rd-{F}(V1,V1,V2), P_mult-{F}(V0,V2,V0), P_mult-{F}(V2,V0,V0) | FALSE
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #8: input, references = 33, size of lhs = 2:
% 78.67/78.83     #-{F} V0, #-{F} V1 | EXISTS V2: P_mult-{T}(V0,V1,V2)
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #9: input, references = 16, size of lhs = 2:
% 78.67/78.83     #-{F} V0, #-{F} V1 | EXISTS V2: P_ld-{T}(V0,V1,V2)
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #10: input, references = 16, size of lhs = 2:
% 78.67/78.83     #-{F} V0, #-{F} V1 | EXISTS V2: P_rd-{T}(V0,V1,V2)
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  number of initial rules = 11
% 78.67/78.83  
% 78.67/78.83  Simplifiers:
% 78.67/78.83  #11: unsound, references = 3, size of lhs = 3:
% 78.67/78.83     P_mult-{F}(V0,V1,V2), P_mult-{F}(V0,V1,V5), V2 == V5 | FALSE
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #12: unsound, references = 3, size of lhs = 3:
% 78.67/78.83     P_ld-{F}(V0,V1,V2), P_ld-{F}(V0,V1,V5), V2 == V5 | FALSE
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #13: unsound, references = 3, size of lhs = 3:
% 78.67/78.83     P_rd-{F}(V0,V1,V2), P_rd-{F}(V0,V1,V5), V2 == V5 | FALSE
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #14: unsound, references = 3, size of lhs = 3:
% 78.67/78.83     pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #15: unsound, references = 3, size of lhs = 3:
% 78.67/78.83     pppp0-{F}(V0,V1), pppp0-{F}(V2,V3), V0 == V2 | FALSE
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #16: unsound, references = 3, size of lhs = 3:
% 78.67/78.83     pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  number of simplifiers = 6
% 78.67/78.83  
% 78.67/78.83  Learnt:
% 78.67/78.83  #18: exists( #10, #3 ), references = 6, size of lhs = 1:
% 78.67/78.83     P_mult-{F}(V0,V1,V2) | P_rd-{T}(V2,V1,V0)
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #20: exists( #8, #0 ), references = 20, size of lhs = 1:
% 78.67/78.83     P_ld-{F}(V0,V1,V2) | P_mult-{T}(V0,V2,V1)
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #23: exists( #8, #2 ), references = 17, size of lhs = 1:
% 78.67/78.83     P_rd-{F}(V0,V1,V2) | P_mult-{T}(V2,V1,V0)
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #25: exists( #9, #1 ), references = 21, size of lhs = 1:
% 78.67/78.83     P_mult-{F}(V0,V1,V2) | P_ld-{T}(V0,V2,V1)
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #30: exists( #8, #4 ), references = 10, size of lhs = 5:
% 78.67/78.83     P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V3,V4), P_mult-{F}(V4,V0,V5), P_mult-{F}(V3,V0,V6), P_mult-{F}(V1,V6,V7) | P_mult-{T}(V0,V7,V5)
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #33: exists( #8, #31 ), references = 49, size of lhs = 5:
% 78.67/78.83     P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V3,V4), P_mult-{F}(V4,V0,V5), P_mult-{F}(V3,V0,V6), P_ld-{F}(V0,V5,V7) | P_mult-{T}(V1,V6,V7)
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #87: exists( #8, #85 ), references = 4, size of lhs = 13:
% 78.67/78.83     P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V3,V4), P_mult-{F}(V4,V0,V5), P_mult-{F}(V3,V0,V6), P_mult-{F}(V7,V0,V5), P_mult-{F}(V0,V8,V9), P_mult-{F}(V9,V10,V7), P_mult-{F}(V10,V0,V11), P_ld-{F}(V11,V12,V5), P_mult-{F}(V13,V11,V12), P_mult-{F}(V14,V8,V13), P_mult-{F}(V11,V15,V14), V0 == V15 | FALSE
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #102: exists( #8, #100 ), references = 2, size of lhs = 17:
% 78.67/78.83     P_mult-{F}(V0,V1,V2), P_mult-{F}(V1,V3,V4), P_mult-{F}(V4,V0,V5), P_mult-{F}(V5,V1,V6), P_mult-{F}(V7,V8,V2), P_mult-{F}(V8,V9,V10), P_mult-{F}(V11,V8,V12), P_mult-{F}(V12,V1,V13), P_mult-{F}(V13,V9,V14), P_mult-{F}(V14,V12,V15), P_ld-{F}(V12,V15,V6), P_mult-{F}(V10,V11,V16), P_mult-{F}(V16,V8,V17), P_mult-{F}(V18,V8,V17), P_mult-{F}(V19,V7,V18), P_mult-{F}(V8,V20,V19), V3 == V20 | FALSE
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #108: exists( #8, #106 ), references = 2, size of lhs = 27:
% 78.67/78.83     P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V3,V4), P_mult-{F}(V4,V0,V5), P_mult-{F}(V3,V0,V6), P_mult-{F}(V7,V0,V5), P_mult-{F}(V8,V0,V5), P_mult-{F}(V0,V9,V10), P_mult-{F}(V10,V11,V7), P_mult-{F}(V11,V0,V12), P_mult-{F}(V12,V13,V14), P_mult-{F}(V14,V9,V15), P_mult-{F}(V15,V12,V16), P_mult-{F}(V0,V17,V18), P_mult-{F}(V18,V19,V8), P_mult-{F}(V19,V0,V20), P_mult-{F}(V20,V21,V22), P_mult-{F}(V23,V20,V24), P_mult-{F}(V24,V12,V25), P_mult-{F}(V25,V21,V26), P_mult-{F}(V26,V24,V27), P_ld-{F}(V24,V27,V16), P_mult-{F}(V22,V23,V28), P_mult-{F}(V28,V20,V29), P_mult-{F}(V30,V20,V29), P_mult-{F}(V31,V17,V30), P_mult-{F}(V20,V32,V31), V13 == V32 | FALSE
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #112: exists( #8, #110 ), references = 2, size of lhs = 11:
% 78.67/78.83     P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V3,V4), P_mult-{F}(V4,V0,V5), P_mult-{F}(V3,V0,V6), P_mult-{F}(V7,V0,V5), P_mult-{F}(V8,V0,V5), P_mult-{F}(V9,V7,V8), P_mult-{F}(V0,V10,V9), P_mult-{F}(V11,V10,V5), P_mult-{F}(V5,V12,V11), V0 == V12 | FALSE
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #188: exists( #9, #182 ), references = 4, size of lhs = 17:
% 78.67/78.83     P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V3,V4), P_mult-{F}(V1,V3,V5), P_ld-{F}(V3,V4,V6), P_mult-{F}(V5,V7,V3), P_mult-{F}(V0,V5,V8), P_ld-{F}(V5,V8,V9), P_mult-{F}(V9,V10,V11), P_mult-{F}(V11,V12,V13), P_mult-{F}(V6,V13,V14), P_mult-{F}(V14,V7,V15), P_mult-{F}(V15,V6,V16), P_ld-{F}(V6,V16,V17), P_mult-{F}(V12,V9,V18), P_ld-{F}(V9,V17,V19), P_rd-{F}(V19,V18,V20), V20 == V10 | FALSE
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #189: exists( #9, #183 ), references = 1, size of lhs = 21:
% 78.67/78.83     P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V3,V4), P_mult-{F}(V1,V3,V5), P_ld-{F}(V3,V4,V6), P_mult-{F}(V5,V7,V3), P_mult-{F}(V0,V5,V8), P_ld-{F}(V5,V8,V9), P_mult-{F}(V10,V9,V11), P_mult-{F}(V11,V12,V13), P_mult-{F}(V12,V14,V15), P_mult-{F}(V9,V15,V16), P_mult-{F}(V16,V10,V17), P_mult-{F}(V6,V17,V18), P_mult-{F}(V18,V7,V19), P_mult-{F}(V19,V6,V20), P_ld-{F}(V6,V20,V21), P_ld-{F}(V9,V21,V22), P_mult-{F}(V22,V12,V23), P_mult-{F}(V14,V13,V24), P_mult-{F}(V12,V24,V25), V23 == V25 | FALSE
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #190: exists( #9, #184 ), references = 1, size of lhs = 37:
% 78.67/78.83     P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V3,V4), P_mult-{F}(V1,V3,V5), P_ld-{F}(V3,V4,V6), P_mult-{F}(V5,V7,V3), P_mult-{F}(V0,V5,V8), P_ld-{F}(V5,V8,V9), P_mult-{F}(V10,V9,V11), P_mult-{F}(V9,V11,V12), P_mult-{F}(V11,V13,V14), P_mult-{F}(V14,V9,V15), P_mult-{F}(V9,V15,V16), P_mult-{F}(V16,V10,V17), P_mult-{F}(V6,V17,V18), P_mult-{F}(V18,V7,V19), P_mult-{F}(V19,V6,V20), P_ld-{F}(V6,V20,V21), P_mult-{F}(V22,V17,V11), P_mult-{F}(V21,V22,V23), P_mult-{F}(V23,V17,V24), P_mult-{F}(V12,V25,V17), P_ld-{F}(V9,V21,V26), P_mult-{F}(V27,V17,V24), P_mult-{F}(V21,V28,V27), P_mult-{F}(V28,V17,V29), P_mult-{F}(V30,V17,V24), P_mult-{F}(V17,V31,V32), P_mult-{F}(V32,V33,V30), P_mult-{F}(V33,V17,V34), P_mult-{F}(V34,V25,V35), P_mult-{F}(V36,V34,V9), P_mult-{F}(V35,V36,V37), P_mult-{F}(V37,V34,V38), P_mult-{F}(V39,V34,V38), P_mult-{F}(V40,V31,V39), P_mult-{F}(V34,V41,V40), V13 == V41 | FALSE
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #196: exists( #9, #192 ), references = 2, size of lhs = 19:
% 78.67/78.83     P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V3,V4), P_mult-{F}(V1,V3,V5), P_ld-{F}(V3,V4,V6), P_mult-{F}(V0,V5,V7), P_ld-{F}(V5,V7,V8), P_mult-{F}(V3,V6,V9), P_ld-{F}(V6,V9,V10), P_ld-{F}(V8,V10,V11), P_mult-{F}(V6,V12,V5), P_mult-{F}(V13,V8,V14), P_mult-{F}(V15,V13,V12), P_mult-{F}(V8,V16,V15), P_mult-{F}(V14,V17,V18), P_mult-{F}(V17,V19,V16), P_mult-{F}(V11,V17,V20), P_mult-{F}(V19,V18,V21), P_mult-{F}(V17,V21,V22), V20 == V22 | FALSE
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #199: exists( #8, #197 ), references = 2, size of lhs = 15:
% 78.67/78.83     P_mult-{F}(V0,V1,V2), P_mult-{F}(V1,V2,V3), P_mult-{F}(V0,V3,V4), P_ld-{F}(V3,V4,V5), P_ld-{F}(V5,V2,V6), P_mult-{F}(V2,V7,V3), P_mult-{F}(V8,V5,V9), P_mult-{F}(V10,V8,V7), P_mult-{F}(V5,V11,V10), P_mult-{F}(V9,V12,V13), P_mult-{F}(V12,V14,V11), P_mult-{F}(V6,V12,V15), P_mult-{F}(V14,V13,V16), P_mult-{F}(V12,V16,V17), V15 == V17 | FALSE
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #236: exists( #8, #234 ), references = 1, size of lhs = 19:
% 78.67/78.83     P_mult-{F}(V0,V1,V2), P_mult-{F}(V1,V3,V4), P_mult-{F}(V4,V5,V3), P_mult-{F}(V2,V3,V6), P_ld-{F}(V3,V6,V7), P_mult-{F}(V0,V4,V8), P_ld-{F}(V4,V8,V9), P_mult-{F}(V10,V9,V11), P_mult-{F}(V11,V9,V12), P_mult-{F}(V12,V13,V14), P_mult-{F}(V14,V11,V15), P_ld-{F}(V11,V15,V16), P_ld-{F}(V7,V17,V16), P_mult-{F}(V18,V7,V17), P_mult-{F}(V19,V5,V18), P_mult-{F}(V7,V20,V19), P_mult-{F}(V21,V10,V20), P_mult-{F}(V9,V22,V21), V13 == V22 | FALSE
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #239: exists( #10, #237 ), references = 3, size of lhs = 17:
% 78.67/78.83     P_mult-{F}(V0,V1,V0), P_mult-{F}(V0,V2,V1), P_mult-{F}(V3,V1,V4), P_ld-{F}(V1,V4,V5), P_ld-{F}(V0,V3,V6), P_mult-{F}(V7,V6,V8), P_mult-{F}(V8,V6,V9), P_mult-{F}(V9,V10,V11), P_mult-{F}(V11,V8,V12), P_ld-{F}(V8,V12,V13), P_ld-{F}(V5,V14,V13), P_mult-{F}(V15,V5,V14), P_mult-{F}(V16,V2,V15), P_mult-{F}(V5,V17,V16), P_mult-{F}(V18,V7,V17), P_mult-{F}(V6,V19,V18), V10 == V19 | FALSE
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #292: exists( #8, #288 ), references = 3, size of lhs = 19:
% 78.67/78.83     P_mult-{F}(V0,V1,V0), P_mult-{F}(V0,V2,V1), P_mult-{F}(V3,V1,V4), P_ld-{F}(V1,V4,V5), P_ld-{F}(V0,V3,V6), P_mult-{F}(V7,V6,V8), P_mult-{F}(V8,V9,V10), P_mult-{F}(V10,V7,V11), P_ld-{F}(V7,V11,V12), P_mult-{F}(V13,V6,V14), P_mult-{F}(V14,V6,V15), P_mult-{F}(V12,V13,V16), P_mult-{F}(V5,V16,V17), P_mult-{F}(V17,V2,V18), P_mult-{F}(V18,V5,V19), P_ld-{F}(V5,V19,V20), P_ld-{F}(V14,V21,V20), P_mult-{F}(V22,V14,V21), P_mult-{F}(V15,V23,V22) | P_mult-{T}(V9,V7,V23)
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #301: exists( #9, #297 ), references = 1, size of lhs = 26:
% 78.67/78.83     P_mult-{F}(V0,V0,V1), P_mult-{F}(V0,V2,V3), P_mult-{F}(V2,V1,V4), P_mult-{F}(V0,V4,V5), V3 == V5, P_mult-{F}(V6,V7,V6), P_mult-{F}(V6,V8,V7), P_mult-{F}(V9,V7,V10), P_ld-{F}(V7,V10,V11), P_ld-{F}(V6,V9,V12), P_mult-{F}(V0,V12,V13), P_mult-{F}(V13,V3,V14), P_mult-{F}(V14,V0,V15), P_ld-{F}(V0,V15,V16), P_mult-{F}(V17,V16,V12), P_mult-{F}(V18,V17,V19), P_mult-{F}(V19,V16,V20), P_ld-{F}(V16,V20,V21), P_mult-{F}(V21,V12,V22), P_mult-{F}(V11,V18,V23), P_mult-{F}(V23,V8,V24), P_mult-{F}(V24,V11,V25), P_ld-{F}(V11,V25,V26), P_mult-{F}(V22,V3,V27), P_mult-{F}(V27,V21,V28), P_ld-{F}(V21,V28,V26) | FALSE
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #302: exists( #9, #298 ), references = 2, size of lhs = 37:
% 78.67/78.83     P_mult-{F}(V0,V1,V0), P_mult-{F}(V0,V2,V1), P_mult-{F}(V3,V1,V4), P_ld-{F}(V1,V4,V5), P_ld-{F}(V0,V3,V6), P_mult-{F}(V5,V7,V8), P_mult-{F}(V8,V2,V9), P_mult-{F}(V9,V5,V10), P_ld-{F}(V5,V10,V11), P_mult-{F}(V7,V12,V13), P_mult-{F}(V12,V14,V6), P_mult-{F}(V13,V14,V15), P_ld-{F}(V14,V15,V16), P_mult-{F}(V16,V6,V17), P_ld-{F}(V16,V18,V11), P_mult-{F}(V19,V16,V18), P_mult-{F}(V17,V20,V19), P_mult-{F}(V21,V6,V22), P_ld-{F}(V21,V23,V14), P_mult-{F}(V24,V21,V23), P_mult-{F}(V22,V25,V24), P_mult-{F}(V21,V26,V27), P_mult-{F}(V27,V25,V28), P_mult-{F}(V29,V28,V30), P_mult-{F}(V30,V31,V32), P_mult-{F}(V32,V29,V33), P_ld-{F}(V29,V33,V34), P_ld-{F}(V21,V34,V35), P_rd-{F}(V35,V20,V36), V36 == V26, P_mult-{F}(V37,V31,V38), P_mult-{F}(V39,V38,V37), P_ld-{F}(V38,V40,V29), P_mult-{F}(V41,V38,V40), P_mult-{F}(V42,V39,V41), P_mult-{F}(V42,V37,V43), P_ld-{F}(V37,V43,V21) | FALSE
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #357: exists( #8, #353 ), references = 6, size of lhs = 23:
% 78.67/78.83     P_mult-{F}(V0,V1,V0), P_mult-{F}(V0,V2,V1), P_mult-{F}(V3,V1,V4), P_ld-{F}(V1,V4,V5), P_ld-{F}(V0,V3,V6), P_mult-{F}(V7,V6,V8), P_mult-{F}(V9,V8,V10), P_mult-{F}(V10,V11,V12), P_mult-{F}(V12,V9,V13), P_ld-{F}(V9,V13,V14), P_mult-{F}(V14,V7,V15), P_ld-{F}(V7,V15,V16), P_mult-{F}(V17,V6,V18), P_mult-{F}(V18,V6,V19), P_mult-{F}(V16,V17,V20), P_mult-{F}(V5,V20,V21), P_mult-{F}(V21,V2,V22), P_mult-{F}(V22,V5,V23), P_ld-{F}(V5,V23,V24), P_ld-{F}(V18,V25,V24), P_mult-{F}(V26,V18,V25), P_mult-{F}(V19,V27,V26), P_rd-{F}(V27,V7,V28) | P_mult-{T}(V11,V9,V28)
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #457: exists( #8, #452 ), references = 1, size of lhs = 21:
% 78.67/78.83     P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V3,V4), P_mult-{F}(V4,V0,V5), P_mult-{F}(V3,V0,V6), P_mult-{F}(V7,V0,V5), P_mult-{F}(V0,V8,V9), P_mult-{F}(V9,V10,V7), P_mult-{F}(V10,V0,V11), P_mult-{F}(V8,V12,V13), P_mult-{F}(V12,V14,V11), P_mult-{F}(V15,V8,V14), P_mult-{F}(V16,V17,V15), P_mult-{F}(V17,V13,V18), P_mult-{F}(V18,V16,V19), P_ld-{F}(V17,V20,V21), P_mult-{F}(V20,V19,V22), P_mult-{F}(V23,V20,V22), P_mult-{F}(V24,V23,V20), P_mult-{F}(V24,V22,V25), P_ld-{F}(V22,V25,V17), P_mult-{F}(V21,V8,V26) | P_mult-{T}(V1,V6,V26)
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #458: exists( #8, #454 ), references = 1, size of lhs = 21:
% 78.67/78.83     P_mult-{F}(V0,V1,V2), P_mult-{F}(V1,V2,V3), P_mult-{F}(V0,V3,V4), P_ld-{F}(V3,V4,V5), P_ld-{F}(V5,V2,V6), P_mult-{F}(V2,V7,V3), P_mult-{F}(V8,V5,V9), P_mult-{F}(V10,V8,V7), P_mult-{F}(V5,V11,V10), P_mult-{F}(V12,V13,V11), P_mult-{F}(V9,V12,V14), P_mult-{F}(V13,V14,V15), P_mult-{F}(V6,V12,V16), P_mult-{F}(V17,V12,V18), P_mult-{F}(V19,V17,V15), P_mult-{F}(V18,V19,V20), P_mult-{F}(V20,V17,V21), P_mult-{F}(V17,V2,V22), P_mult-{F}(V23,V17,V2), P_mult-{F}(V22,V23,V24), P_mult-{F}(V24,V17,V21) | P_mult-{T}(V2,V2,V16)
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #547: exists( #9, #542 ), references = 1, size of lhs = 15:
% 78.67/78.83     P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V3,V4), P_mult-{F}(V1,V3,V5), P_ld-{F}(V3,V4,V6), P_mult-{F}(V0,V5,V7), P_ld-{F}(V5,V7,V8), P_mult-{F}(V3,V6,V9), P_ld-{F}(V6,V9,V10), P_ld-{F}(V8,V10,V11), P_mult-{F}(V6,V12,V5), P_mult-{F}(V8,V13,V14), P_mult-{F}(V14,V15,V12), P_mult-{F}(V15,V8,V16), P_rd-{F}(V11,V16,V17), V17 == V13 | FALSE
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #548: exists( #9, #543 ), references = 1, size of lhs = 35:
% 78.67/78.83     P_mult-{F}(V0,V1,V0), P_mult-{F}(V0,V2,V1), P_mult-{F}(V3,V1,V4), P_ld-{F}(V1,V4,V5), P_ld-{F}(V0,V3,V6), P_mult-{F}(V5,V7,V8), P_mult-{F}(V8,V2,V9), P_mult-{F}(V9,V5,V10), P_ld-{F}(V5,V10,V11), P_mult-{F}(V7,V12,V13), P_mult-{F}(V12,V14,V6), P_mult-{F}(V13,V14,V15), P_ld-{F}(V14,V15,V16), P_mult-{F}(V16,V6,V17), P_ld-{F}(V16,V18,V11), P_mult-{F}(V19,V16,V18), P_mult-{F}(V17,V20,V19), P_mult-{F}(V21,V6,V22), P_ld-{F}(V21,V23,V14), P_mult-{F}(V24,V21,V23), P_mult-{F}(V22,V25,V24), P_mult-{F}(V21,V26,V27), P_mult-{F}(V27,V25,V28), P_mult-{F}(V29,V28,V30), P_ld-{F}(V30,V31,V21), P_mult-{F}(V32,V30,V31), P_mult-{F}(V33,V29,V34), P_ld-{F}(V29,V34,V35), P_ld-{F}(V21,V35,V36), P_rd-{F}(V36,V20,V37), V37 == V26, P_mult-{F}(V38,V33,V30), P_mult-{F}(V32,V38,V39), P_mult-{F}(V39,V33,V40), P_ld-{F}(V33,V40,V29) | FALSE
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #553: exists( #8, #549 ), references = 1, size of lhs = 11:
% 78.67/78.83     P_mult-{F}(V0,V1,V2), P_mult-{F}(V1,V2,V3), P_mult-{F}(V0,V3,V4), P_ld-{F}(V3,V4,V5), P_ld-{F}(V5,V2,V6), P_mult-{F}(V2,V7,V3), P_mult-{F}(V5,V8,V9), P_mult-{F}(V9,V10,V7), P_mult-{F}(V10,V5,V11), P_rd-{F}(V6,V11,V12), V12 == V8 | FALSE
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #554: exists( #8, #550 ), references = 1, size of lhs = 31:
% 78.67/78.83     P_mult-{F}(V0,V1,V0), P_mult-{F}(V0,V2,V1), P_mult-{F}(V3,V1,V4), P_ld-{F}(V1,V4,V5), P_ld-{F}(V0,V3,V6), P_mult-{F}(V5,V7,V8), P_mult-{F}(V8,V2,V9), P_mult-{F}(V9,V5,V10), P_ld-{F}(V5,V10,V11), P_mult-{F}(V7,V12,V13), P_mult-{F}(V12,V14,V6), P_mult-{F}(V13,V14,V15), P_ld-{F}(V14,V15,V16), P_mult-{F}(V16,V6,V17), P_ld-{F}(V16,V18,V11), P_mult-{F}(V19,V16,V18), P_mult-{F}(V17,V20,V19), P_rd-{F}(V21,V20,V22), P_mult-{F}(V23,V6,V24), P_ld-{F}(V23,V25,V21), P_ld-{F}(V23,V26,V14), P_mult-{F}(V27,V23,V26), P_mult-{F}(V24,V28,V27), P_mult-{F}(V29,V25,V30), P_mult-{F}(V31,V29,V25), P_mult-{F}(V31,V30,V32), P_ld-{F}(V30,V32,V23), P_mult-{F}(V25,V33,V30), P_mult-{F}(V34,V28,V33), P_mult-{F}(V23,V35,V34), V22 == V35 | FALSE
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #557: exists( #10, #551 ), references = 3, size of lhs = 9:
% 78.67/78.83     P_mult-{F}(V0,V1,V2), P_mult-{F}(V1,V2,V3), P_mult-{F}(V0,V3,V4), P_ld-{F}(V3,V4,V5), P_ld-{F}(V5,V2,V6), P_mult-{F}(V2,V7,V3), P_mult-{F}(V5,V8,V9), P_mult-{F}(V9,V10,V7), P_mult-{F}(V10,V5,V11) | P_rd-{T}(V6,V11,V8)
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #558: exists( #10, #552 ), references = 1, size of lhs = 29:
% 78.67/78.83     P_mult-{F}(V0,V1,V0), P_mult-{F}(V0,V2,V1), P_mult-{F}(V3,V1,V4), P_ld-{F}(V1,V4,V5), P_ld-{F}(V0,V3,V6), P_mult-{F}(V5,V7,V8), P_mult-{F}(V8,V2,V9), P_mult-{F}(V9,V5,V10), P_ld-{F}(V5,V10,V11), P_mult-{F}(V7,V12,V13), P_mult-{F}(V12,V14,V6), P_mult-{F}(V13,V14,V15), P_ld-{F}(V14,V15,V16), P_mult-{F}(V16,V6,V17), P_ld-{F}(V16,V18,V11), P_mult-{F}(V19,V16,V18), P_mult-{F}(V17,V20,V19), P_mult-{F}(V21,V6,V22), P_ld-{F}(V21,V23,V14), P_mult-{F}(V24,V21,V23), P_mult-{F}(V22,V25,V24), P_mult-{F}(V21,V26,V27), P_mult-{F}(V27,V25,V28), P_ld-{F}(V21,V29,V30), P_mult-{F}(V29,V28,V31), P_mult-{F}(V32,V29,V31), P_mult-{F}(V33,V32,V29), P_mult-{F}(V33,V31,V34), P_ld-{F}(V31,V34,V21) | P_rd-{T}(V30,V20,V26)
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #564: exists( #8, #562 ), references = 1, size of lhs = 22:
% 78.67/78.83     P_mult-{F}(V0,V1,V0), P_mult-{F}(V0,V2,V1), P_mult-{F}(V0,V0,V3), P_ld-{F}(V0,V4,V0), P_mult-{F}(V5,V0,V4), P_mult-{F}(V3,V6,V7), P_mult-{F}(V8,V6,V5), P_mult-{F}(V8,V1,V9), P_ld-{F}(V1,V9,V10), P_mult-{F}(V10,V8,V11), P_mult-{F}(V11,V2,V12), P_mult-{F}(V12,V10,V13), P_ld-{F}(V10,V13,V14), P_ld-{F}(V0,V15,V14), P_mult-{F}(V16,V0,V15), P_mult-{F}(V8,V17,V16), P_ld-{F}(V0,V18,V8), P_mult-{F}(V18,V7,V19), P_mult-{F}(V20,V18,V19), P_mult-{F}(V21,V20,V18), P_mult-{F}(V21,V19,V22), P_ld-{F}(V19,V22,V0) | P_mult-{T}(V6,V0,V17)
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #708: exists( #8, #704 ), references = 2, size of lhs = 11:
% 78.67/78.83     P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V3,V4), P_mult-{F}(V3,V0,V5), P_mult-{F}(V1,V5,V6), P_mult-{F}(V0,V7,V8), P_mult-{F}(V8,V9,V4), P_mult-{F}(V9,V0,V10), P_mult-{F}(V10,V0,V11), P_mult-{F}(V11,V7,V12), P_mult-{F}(V12,V10,V13), P_ld-{F}(V10,V13,V14) | P_mult-{T}(V4,V0,V14)
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #716: mergings( V4 == V17; #714 ), references = 2, size of lhs = 13:
% 78.67/78.83     P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V3,V4), P_mult-{F}(V3,V0,V5), P_mult-{F}(V1,V6,V4), P_mult-{F}(V6,V2,V5), P_mult-{F}(V0,V7,V8), P_mult-{F}(V8,V9,V4), P_mult-{F}(V9,V0,V10), P_mult-{F}(V10,V0,V11), P_mult-{F}(V11,V7,V12), P_mult-{F}(V12,V10,V13), P_ld-{F}(V10,V13,V14), P_mult-{F}(V14,V1,V15) | P_mult-{T}(V1,V5,V15)
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #721: mergings( V12 == V13; #719 ), references = 1, size of lhs = 14:
% 78.67/78.83     P_mult-{F}(V0,V1,V1), P_mult-{F}(V2,V1,V0), P_ld-{F}(V1,V3,V4), P_mult-{F}(V3,V2,V5), P_mult-{F}(V3,V0,V6), P_ld-{F}(V0,V6,V7), P_mult-{F}(V1,V8,V9), P_mult-{F}(V9,V10,V5), P_mult-{F}(V10,V1,V11), P_mult-{F}(V8,V12,V5), P_mult-{F}(V12,V9,V11), P_mult-{F}(V7,V8,V13), P_ld-{F}(V8,V13,V14), V14 == V11 | FALSE
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #724: mergings( V9 == V10; #722 ), references = 3, size of lhs = 13:
% 78.67/78.83     P_mult-{F}(V0,V1,V1), P_mult-{F}(V2,V1,V0), P_mult-{F}(V3,V2,V4), P_mult-{F}(V3,V0,V5), P_ld-{F}(V0,V5,V6), P_mult-{F}(V1,V7,V8), P_mult-{F}(V8,V9,V4), P_mult-{F}(V9,V1,V10), P_mult-{F}(V7,V11,V4), P_mult-{F}(V11,V8,V10), P_mult-{F}(V6,V7,V12), P_ld-{F}(V7,V12,V13), V13 == V10 | FALSE
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #739: exists( #8, #737 ), references = 1, size of lhs = 27:
% 78.67/78.83     P_mult-{F}(V0,V1,V0), P_mult-{F}(V0,V2,V1), P_mult-{F}(V3,V1,V4), P_ld-{F}(V1,V4,V5), P_ld-{F}(V0,V3,V6), P_mult-{F}(V7,V6,V8), P_mult-{F}(V9,V8,V10), P_mult-{F}(V10,V11,V12), P_mult-{F}(V12,V9,V13), P_ld-{F}(V9,V13,V14), P_mult-{F}(V14,V7,V15), P_ld-{F}(V7,V15,V16), P_mult-{F}(V7,V11,V17), P_mult-{F}(V9,V17,V18), P_mult-{F}(V11,V18,V19), P_mult-{F}(V20,V6,V21), P_mult-{F}(V21,V6,V22), P_mult-{F}(V16,V20,V23), P_mult-{F}(V5,V23,V24), P_mult-{F}(V24,V2,V25), P_mult-{F}(V25,V5,V26), P_ld-{F}(V5,V26,V27), P_ld-{F}(V21,V28,V27), P_mult-{F}(V29,V21,V28), P_mult-{F}(V22,V30,V29), P_mult-{F}(V30,V11,V31), V31 == V19 | FALSE
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #756: mergings( V3 == V4, V4 == V5; #753 ), references = 2, size of lhs = 21:
% 78.67/78.83     P_mult-{F}(V0,V0,V1), P_mult-{F}(V2,V0,V0), P_mult-{F}(V3,V0,V2), P_mult-{F}(V4,V0,V0), P_mult-{F}(V5,V0,V4), P_mult-{F}(V6,V3,V7), P_mult-{F}(V1,V8,V7), P_mult-{F}(V8,V0,V9), P_mult-{F}(V0,V10,V7), P_mult-{F}(V10,V1,V9), P_mult-{F}(V11,V0,V9), P_mult-{F}(V1,V11,V12), P_mult-{F}(V6,V5,V12), P_mult-{F}(V1,V13,V12), P_mult-{F}(V13,V0,V9), P_mult-{F}(V6,V2,V14), P_ld-{F}(V2,V14,V15), P_mult-{F}(V15,V0,V9), P_mult-{F}(V6,V4,V16), P_ld-{F}(V4,V16,V17), V17 == V9 | FALSE
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #785: exists( #10, #783 ), references = 1, size of lhs = 27:
% 78.67/78.83     P_mult-{F}(V0,V1,V0), P_mult-{F}(V0,V2,V1), P_mult-{F}(V3,V1,V4), P_ld-{F}(V1,V4,V5), P_ld-{F}(V0,V3,V6), P_mult-{F}(V7,V6,V8), P_mult-{F}(V9,V8,V10), P_mult-{F}(V9,V7,V11), P_mult-{F}(V12,V6,V13), P_mult-{F}(V13,V6,V14), P_mult-{F}(V14,V15,V16), P_mult-{F}(V16,V13,V17), P_ld-{F}(V13,V17,V18), P_ld-{F}(V5,V19,V18), P_mult-{F}(V20,V5,V19), P_mult-{F}(V21,V2,V20), P_mult-{F}(V5,V22,V21), P_mult-{F}(V23,V12,V22), P_ld-{F}(V7,V24,V23), P_mult-{F}(V25,V7,V24), P_ld-{F}(V9,V26,V25), P_mult-{F}(V27,V9,V26), P_mult-{F}(V10,V28,V27), P_mult-{F}(V7,V29,V28), P_mult-{F}(V29,V11,V30), P_mult-{F}(V7,V30,V31), V15 == V31 | FALSE
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #800: exists( #10, #798 ), references = 1, size of lhs = 27:
% 78.67/78.83     P_mult-{F}(V0,V1,V0), P_mult-{F}(V0,V2,V1), P_mult-{F}(V3,V1,V4), P_ld-{F}(V1,V4,V5), P_ld-{F}(V0,V3,V6), P_mult-{F}(V7,V6,V8), P_mult-{F}(V9,V8,V10), P_mult-{F}(V9,V7,V11), P_mult-{F}(V12,V6,V13), P_mult-{F}(V13,V6,V14), P_mult-{F}(V14,V15,V16), P_mult-{F}(V16,V13,V17), P_ld-{F}(V13,V17,V18), P_ld-{F}(V7,V15,V19), P_ld-{F}(V5,V20,V18), P_mult-{F}(V21,V5,V20), P_mult-{F}(V22,V2,V21), P_mult-{F}(V5,V23,V22), P_mult-{F}(V24,V12,V23), P_ld-{F}(V7,V25,V24), P_mult-{F}(V26,V7,V25), P_ld-{F}(V9,V27,V26), P_mult-{F}(V28,V9,V27), P_mult-{F}(V10,V29,V28), P_mult-{F}(V7,V30,V29), P_ld-{F}(V30,V19,V31), V31 == V11 | FALSE
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #806: exists( #9, #802 ), references = 4, size of lhs = 9:
% 78.67/78.83     P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V3,V4), P_mult-{F}(V4,V0,V5), P_mult-{F}(V3,V0,V6), P_mult-{F}(V7,V0,V5), P_mult-{F}(V8,V0,V5), P_mult-{F}(V9,V7,V8), P_mult-{F}(V0,V10,V9), P_mult-{F}(V11,V10,V5) | P_ld-{T}(V5,V11,V0)
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #807: exists( #9, #803 ), references = 1, size of lhs = 11:
% 78.67/78.83     P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V3,V4), P_mult-{F}(V4,V0,V5), P_mult-{F}(V3,V0,V6), P_mult-{F}(V7,V0,V5), P_mult-{F}(V0,V8,V9), P_mult-{F}(V9,V10,V7), P_mult-{F}(V10,V0,V11), P_ld-{F}(V11,V12,V5), P_mult-{F}(V13,V11,V12), P_mult-{F}(V14,V8,V13) | P_ld-{T}(V11,V14,V0)
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #840: mergings( V4 == V6; #836 ), references = 1, size of lhs = 31:
% 78.67/78.83     P_mult-{F}(V0,V0,V1), P_mult-{F}(V0,V2,V1), P_mult-{F}(V0,V3,V4), P_mult-{F}(V3,V1,V4), P_ld-{F}(V0,V4,V5), P_mult-{F}(V0,V6,V4), P_ld-{F}(V6,V7,V1), V5 == V7, P_ld-{F}(V3,V8,V4), P_mult-{F}(V9,V10,V9), P_mult-{F}(V9,V11,V10), P_mult-{F}(V12,V10,V13), P_ld-{F}(V10,V13,V14), P_ld-{F}(V9,V12,V15), P_mult-{F}(V3,V15,V16), P_mult-{F}(V0,V16,V17), P_mult-{F}(V17,V4,V18), P_mult-{F}(V18,V0,V19), P_ld-{F}(V0,V19,V20), P_mult-{F}(V20,V3,V21), P_ld-{F}(V3,V21,V22), P_mult-{F}(V23,V15,V24), P_mult-{F}(V24,V15,V25), P_mult-{F}(V22,V23,V26), P_mult-{F}(V14,V26,V27), P_mult-{F}(V27,V11,V28), P_mult-{F}(V28,V14,V29), P_ld-{F}(V14,V29,V30), P_mult-{F}(V25,V8,V31), P_mult-{F}(V31,V24,V32), P_ld-{F}(V24,V32,V30) | FALSE
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #842: mergings( V4 == V6; #837 ), references = 1, size of lhs = 31:
% 78.67/78.83     P_mult-{F}(V0,V0,V1), P_mult-{F}(V0,V2,V1), P_mult-{F}(V0,V3,V4), P_mult-{F}(V3,V1,V4), P_ld-{F}(V0,V4,V5), P_mult-{F}(V0,V6,V4), P_mult-{F}(V6,V1,V7), V5 == V7, P_ld-{F}(V3,V8,V4), P_mult-{F}(V9,V10,V9), P_mult-{F}(V9,V11,V10), P_mult-{F}(V12,V10,V13), P_ld-{F}(V10,V13,V14), P_ld-{F}(V9,V12,V15), P_mult-{F}(V3,V15,V16), P_mult-{F}(V0,V16,V17), P_mult-{F}(V17,V4,V18), P_mult-{F}(V18,V0,V19), P_ld-{F}(V0,V19,V20), P_mult-{F}(V20,V3,V21), P_ld-{F}(V3,V21,V22), P_mult-{F}(V23,V15,V24), P_mult-{F}(V24,V15,V25), P_mult-{F}(V22,V23,V26), P_mult-{F}(V14,V26,V27), P_mult-{F}(V27,V11,V28), P_mult-{F}(V28,V14,V29), P_ld-{F}(V14,V29,V30), P_mult-{F}(V25,V8,V31), P_mult-{F}(V31,V24,V32), P_ld-{F}(V24,V32,V30) | FALSE
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #844: mergings( V4 == V6; #838 ), references = 1, size of lhs = 31:
% 78.67/78.83     P_mult-{F}(V0,V0,V1), P_mult-{F}(V0,V2,V1), P_mult-{F}(V0,V3,V4), P_mult-{F}(V3,V1,V4), P_ld-{F}(V0,V4,V5), P_ld-{F}(V3,V6,V4), P_mult-{F}(V0,V7,V4), P_rd-{F}(V8,V1,V7), V5 == V8, P_mult-{F}(V9,V10,V9), P_mult-{F}(V9,V11,V10), P_mult-{F}(V12,V10,V13), P_ld-{F}(V10,V13,V14), P_ld-{F}(V9,V12,V15), P_mult-{F}(V3,V15,V16), P_mult-{F}(V0,V16,V17), P_mult-{F}(V17,V4,V18), P_mult-{F}(V18,V0,V19), P_ld-{F}(V0,V19,V20), P_mult-{F}(V20,V3,V21), P_ld-{F}(V3,V21,V22), P_mult-{F}(V23,V15,V24), P_mult-{F}(V24,V15,V25), P_mult-{F}(V22,V23,V26), P_mult-{F}(V14,V26,V27), P_mult-{F}(V27,V11,V28), P_mult-{F}(V28,V14,V29), P_ld-{F}(V14,V29,V30), P_mult-{F}(V25,V6,V31), P_mult-{F}(V31,V24,V32), P_ld-{F}(V24,V32,V30) | FALSE
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #883: mergings( V16 == V18; #881 ), references = 2, size of lhs = 20:
% 78.67/78.83     P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V0,V0), P_mult-{F}(V2,V0,V1), P_mult-{F}(V3,V0,V0), P_mult-{F}(V4,V0,V3), P_mult-{F}(V5,V6,V0), P_mult-{F}(V6,V7,V8), P_mult-{F}(V8,V9,V10), P_mult-{F}(V9,V6,V11), P_mult-{F}(V7,V11,V12), P_mult-{F}(V13,V5,V10), P_mult-{F}(V6,V14,V13), P_mult-{F}(V0,V14,V15), P_mult-{F}(V16,V2,V15), P_mult-{F}(V16,V4,V15), P_mult-{F}(V16,V1,V17), P_ld-{F}(V1,V17,V14), P_mult-{F}(V16,V3,V18), P_ld-{F}(V3,V18,V19), V19 == V12 | FALSE
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #886: mergings( V15 == V17; #884 ), references = 4, size of lhs = 18:
% 78.67/78.83     P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V0,V0), P_mult-{F}(V2,V0,V1), P_mult-{F}(V3,V0,V0), P_mult-{F}(V4,V0,V3), P_mult-{F}(V5,V6,V0), P_mult-{F}(V6,V7,V8), P_mult-{F}(V8,V9,V10), P_mult-{F}(V9,V6,V11), P_mult-{F}(V12,V5,V10), P_mult-{F}(V6,V13,V12), P_mult-{F}(V0,V13,V14), P_mult-{F}(V15,V2,V14), P_mult-{F}(V15,V4,V14), P_mult-{F}(V15,V1,V16), P_ld-{F}(V1,V16,V13), P_mult-{F}(V15,V3,V17), P_ld-{F}(V3,V17,V18) | P_mult-{T}(V7,V11,V18)
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #898: mergings( V1 == V3, V12 == V13; #893 ), references = 1, size of lhs = 15:
% 78.67/78.83     P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V2,V0), P_mult-{F}(V2,V3,V4), P_mult-{F}(V4,V5,V6), P_mult-{F}(V5,V2,V7), P_mult-{F}(V8,V1,V6), P_mult-{F}(V2,V9,V8), P_mult-{F}(V0,V9,V10), P_ld-{F}(V0,V10,V9), P_mult-{F}(V7,V11,V12), P_mult-{F}(V12,V3,V13), P_mult-{F}(V13,V7,V14), P_mult-{F}(V11,V9,V15), P_mult-{F}(V7,V15,V16), V14 == V16 | FALSE
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #904: mergings( V1 == V3, V4 == V3, V8 == V11, V11 == V13, V9 == V14; #894 ), references = 1, size of lhs = 10:
% 78.67/78.83     P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V2,V0), P_mult-{F}(V3,V2,V0), P_mult-{F}(V4,V1,V5), P_mult-{F}(V4,V3,V5), P_mult-{F}(V2,V6,V4), P_ld-{F}(V0,V6,V7), V7 == V6, P_mult-{F}(V0,V6,V8), P_ld-{F}(V0,V8,V6) | FALSE
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #910: mergings( V4 == V3, V3 == V6, V1 == V7, V17 == V18, V19 == V20; #895 ), references = 1, size of lhs = 17:
% 78.67/78.83     P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V1,V1), P_mult-{F}(V1,V2,V1), P_mult-{F}(V3,V4,V0), P_mult-{F}(V5,V4,V1), P_mult-{F}(V2,V6,V7), P_mult-{F}(V4,V7,V8), P_mult-{F}(V8,V5,V9), P_mult-{F}(V6,V1,V10), P_mult-{F}(V11,V3,V9), P_mult-{F}(V2,V12,V7), V12 == V10, P_mult-{F}(V1,V12,V13), P_mult-{F}(V4,V13,V11), P_ld-{F}(V1,V13,V12), P_mult-{F}(V0,V13,V14), P_ld-{F}(V0,V14,V13) | FALSE
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #915: exists( #9, #911 ), references = 1, size of lhs = 9:
% 78.67/78.83     P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V0,V0), P_mult-{F}(V2,V0,V0), P_mult-{F}(V3,V0,V2), P_mult-{F}(V4,V3,V5), P_mult-{F}(V4,V1,V5), P_mult-{F}(V4,V2,V6), P_mult-{F}(V2,V4,V7), V6 == V7 | FALSE
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #918: mergings( V1 == V3; #916 ), references = 2, size of lhs = 2:
% 78.67/78.83     P_mult-{F}(V0,V0,V0), P_mult-{F}(V0,V1,V2) | P_mult-{T}(V1,V0,V2)
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #926: mergings( V0 == V3; #923 ), references = 2, size of lhs = 2:
% 78.67/78.83     P_mult-{F}(V0,V0,V0), #-{F} V1 | P_mult-{T}(V0,V1,V1)
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #931: mergings( V3 == V2; #929 ), references = 2, size of lhs = 4:
% 78.67/78.83     pppp1-{F}(V0), P_mult-{F}(V1,V1,V1), P_mult-{F}(V0,V1,V0), P_mult-{F}(V1,V0,V0) | FALSE
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #937: exists( #8, #935 ), references = 1, size of lhs = 12:
% 78.67/78.83     P_mult-{F}(V0,V1,V2), P_mult-{F}(V3,V0,V4), P_mult-{F}(V0,V4,V5), P_mult-{F}(V2,V3,V6), P_mult-{F}(V5,V6,V7), P_mult-{F}(V7,V0,V8), P_ld-{F}(V0,V8,V9), P_mult-{F}(V9,V1,V10), P_mult-{F}(V10,V4,V9), P_mult-{F}(V0,V11,V12), P_mult-{F}(V12,V13,V6), P_mult-{F}(V13,V0,V14) | P_mult-{T}(V6,V0,V0)
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #965: exists( #8, #4 ), references = 5, size of lhs = 5:
% 78.67/78.83     P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V3,V4), P_mult-{F}(V3,V0,V5), P_mult-{F}(V1,V5,V6), P_mult-{F}(V0,V6,V7) | P_mult-{T}(V4,V0,V7)
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #983: exists( #8, #979 ), references = 1, size of lhs = 7:
% 78.67/78.83     P_mult-{F}(V0,V1,V0), P_mult-{F}(V0,V2,V3), P_mult-{F}(V2,V4,V1), P_mult-{F}(V2,V5,V4), P_mult-{F}(V5,V3,V6), P_mult-{F}(V2,V6,V7), P_mult-{F}(V7,V4,V8) | P_mult-{T}(V4,V0,V8)
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #984: exists( #8, #980 ), references = 7, size of lhs = 5:
% 78.67/78.83     P_mult-{F}(V0,V1,V2), P_mult-{F}(V3,V0,V4), P_mult-{F}(V1,V4,V5), P_mult-{F}(V0,V5,V6), P_rd-{F}(V6,V0,V7) | P_mult-{T}(V2,V3,V7)
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #1016: exists( #8, #1012 ), references = 2, size of lhs = 9:
% 78.67/78.83     P_mult-{F}(V0,V1,V2), P_mult-{F}(V3,V0,V4), P_mult-{F}(V4,V0,V5), P_mult-{F}(V5,V1,V6), P_mult-{F}(V6,V4,V7), P_ld-{F}(V4,V7,V8), P_rd-{F}(V8,V0,V9), P_rd-{F}(V9,V3,V10), V10 == V2 | FALSE
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #1017: exists( #8, #1013 ), references = 1, size of lhs = 13:
% 78.67/78.83     P_mult-{F}(V0,V1,V2), P_mult-{F}(V3,V0,V4), P_mult-{F}(V4,V0,V5), P_mult-{F}(V5,V1,V6), P_mult-{F}(V6,V4,V7), P_ld-{F}(V4,V7,V8), P_rd-{F}(V8,V0,V9), P_mult-{F}(V3,V10,V11), P_mult-{F}(V11,V2,V12), P_mult-{F}(V12,V3,V13), P_mult-{F}(V10,V9,V14), P_mult-{F}(V3,V14,V15), V13 == V15 | FALSE
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #1019: exists( #8, #1014 ), references = 6, size of lhs = 7:
% 78.67/78.83     P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V1,V3), P_mult-{F}(V3,V4,V5), P_mult-{F}(V5,V2,V6), P_ld-{F}(V2,V6,V7), P_rd-{F}(V7,V1,V8), P_rd-{F}(V8,V0,V9) | P_mult-{T}(V1,V4,V9)
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #1053: exists( #8, #1051 ), references = 1, size of lhs = 23:
% 78.67/78.83     P_mult-{F}(V0,V1,V0), P_mult-{F}(V0,V0,V2), P_ld-{F}(V0,V3,V1), P_mult-{F}(V4,V0,V3), P_mult-{F}(V5,V0,V6), P_mult-{F}(V0,V7,V6), P_mult-{F}(V7,V2,V8), P_mult-{F}(V9,V6,V4), P_mult-{F}(V0,V10,V9), P_mult-{F}(V11,V10,V10), V1 == V11, P_rd-{F}(V12,V5,V11), P_rd-{F}(V13,V0,V12), P_ld-{F}(V6,V14,V13), P_mult-{F}(V15,V6,V14), P_mult-{F}(V0,V16,V17), P_mult-{F}(V17,V6,V18), P_mult-{F}(V18,V0,V19), P_ld-{F}(V0,V19,V20), P_mult-{F}(V21,V16,V8), P_mult-{F}(V20,V21,V22), P_mult-{F}(V22,V16,V23), P_ld-{F}(V16,V23,V15) | FALSE
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #1100: exists( #10, #1016 ), references = 1, size of lhs = 7:
% 78.67/78.83     P_mult-{F}(V0,V1,V2), P_mult-{F}(V3,V0,V4), P_mult-{F}(V4,V0,V5), P_mult-{F}(V5,V1,V6), P_mult-{F}(V6,V4,V7), P_ld-{F}(V4,V7,V8), P_rd-{F}(V8,V0,V9) | P_rd-{T}(V9,V3,V2)
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #1125: exists( #10, #1123 ), references = 1, size of lhs = 19:
% 78.67/78.83     P_mult-{F}(V0,V1,V2), P_mult-{F}(V1,V3,V4), P_mult-{F}(V0,V4,V5), P_rd-{F}(V5,V0,V6), P_mult-{F}(V0,V7,V8), P_mult-{F}(V9,V8,V2), P_mult-{F}(V10,V8,V9), P_mult-{F}(V6,V9,V11), P_ld-{F}(V9,V11,V12), P_rd-{F}(V12,V8,V13), P_rd-{F}(V13,V10,V14), P_mult-{F}(V14,V0,V15), P_ld-{F}(V0,V15,V16), P_mult-{F}(V3,V17,V18), P_mult-{F}(V18,V7,V19), P_mult-{F}(V19,V3,V20), P_mult-{F}(V17,V16,V21), P_mult-{F}(V3,V21,V22), V20 == V22 | FALSE
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #1142: mergings( V8 == V9, V9 == V10; #1139 ), references = 1, size of lhs = 30:
% 78.67/78.83     P_mult-{F}(V0,V1,V2), P_mult-{F}(V0,V2,V3), P_mult-{F}(V4,V0,V5), P_mult-{F}(V1,V5,V6), P_mult-{F}(V0,V6,V7), P_mult-{F}(V4,V3,V7), P_mult-{F}(V0,V8,V9), P_mult-{F}(V8,V7,V10), P_mult-{F}(V0,V10,V11), P_rd-{F}(V11,V0,V12), P_mult-{F}(V13,V3,V9), P_mult-{F}(V14,V3,V13), P_mult-{F}(V12,V13,V15), P_ld-{F}(V13,V15,V16), P_rd-{F}(V16,V3,V17), P_rd-{F}(V17,V14,V18), P_mult-{F}(V18,V0,V19), P_ld-{F}(V0,V19,V20), P_ld-{F}(V7,V21,V20), P_mult-{F}(V22,V7,V21), P_mult-{F}(V20,V23,V22), P_mult-{F}(V24,V25,V3), P_mult-{F}(V25,V23,V26), P_mult-{F}(V27,V25,V7), P_mult-{F}(V26,V27,V28), P_mult-{F}(V28,V25,V29), P_mult-{F}(V30,V25,V29), P_mult-{F}(V31,V24,V30), P_mult-{F}(V25,V32,V31), V4 == V32 | FALSE
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #1256: exists( #9, #1254 ), references = 1, size of lhs = 11:
% 78.67/78.83     P_ld-{F}(V0,V0,V1), P_mult-{F}(V2,V3,V0), P_mult-{F}(V4,V3,V5), V1 == V5, P_mult-{F}(V5,V2,V6), P_mult-{F}(V6,V3,V7), P_ld-{F}(V3,V7,V8), P_mult-{F}(V8,V3,V9), P_mult-{F}(V8,V9,V3), P_mult-{F}(V10,V8,V3), P_mult-{F}(V4,V10,V8) | FALSE
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #1262: exists( #8, #1260 ), references = 2, size of lhs = 14:
% 78.67/78.83     P_ld-{F}(V0,V1,V0), P_mult-{F}(V2,V0,V1), P_mult-{F}(V3,V0,V4), P_mult-{F}(V3,V5,V6), P_mult-{F}(V5,V6,V0), P_mult-{F}(V0,V6,V7), P_mult-{F}(V7,V6,V2), P_mult-{F}(V4,V6,V8), P_mult-{F}(V8,V0,V9), P_ld-{F}(V0,V9,V6), P_mult-{F}(V10,V6,V0), P_mult-{F}(V0,V11,V10), P_mult-{F}(V11,V6,V12), V12 == V4 | FALSE
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #1270: mergings( V0 == V5, V5 == V6; #1267 ), references = 1, size of lhs = 23:
% 78.67/78.83     P_mult-{F}(V0,V0,V1), P_mult-{F}(V2,V0,V2), P_mult-{F}(V2,V2,V3), P_ld-{F}(V2,V3,V2), P_mult-{F}(V1,V2,V4), P_ld-{F}(V2,V4,V0), P_mult-{F}(V5,V0,V2), P_mult-{F}(V2,V6,V5), P_mult-{F}(V6,V0,V7), V7 == V0, P_mult-{F}(V8,V2,V9), P_mult-{F}(V10,V8,V11), P_mult-{F}(V10,V9,V12), P_rd-{F}(V12,V10,V13), P_ld-{F}(V10,V14,V0), P_mult-{F}(V15,V10,V14), P_mult-{F}(V10,V16,V17), P_mult-{F}(V18,V17,V11), P_mult-{F}(V19,V17,V18), P_mult-{F}(V13,V18,V20), P_ld-{F}(V18,V20,V21), P_rd-{F}(V21,V17,V22), P_rd-{F}(V22,V19,V15) | FALSE
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #1275: mergings( V5 == V6, V6 == V7; #1272 ), references = 1, size of lhs = 22:
% 78.67/78.83     P_mult-{F}(V0,V0,V1), P_mult-{F}(V2,V0,V2), P_mult-{F}(V2,V2,V3), P_ld-{F}(V2,V3,V2), P_mult-{F}(V1,V2,V4), P_ld-{F}(V2,V4,V0), P_mult-{F}(V5,V0,V2), P_mult-{F}(V2,V6,V5), P_mult-{F}(V6,V0,V7), V7 == V0, P_mult-{F}(V8,V2,V9), P_mult-{F}(V10,V8,V11), P_mult-{F}(V10,V9,V12), P_rd-{F}(V12,V10,V13), P_ld-{F}(V10,V14,V0), P_mult-{F}(V15,V10,V14), P_mult-{F}(V16,V17,V11), P_mult-{F}(V18,V17,V16), P_mult-{F}(V13,V16,V19), P_ld-{F}(V16,V19,V20), P_rd-{F}(V20,V17,V21), P_rd-{F}(V21,V18,V15) | FALSE
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #1352: mergings( V1 == V4, V4 == V5; #1348 ), references = 1, size of lhs = 10:
% 78.67/78.83     P_mult-{F}(V0,V0,V1), P_mult-{F}(V2,V0,V2), P_mult-{F}(V2,V2,V3), P_ld-{F}(V2,V3,V2), P_mult-{F}(V1,V2,V4), P_ld-{F}(V2,V4,V0), P_mult-{F}(V5,V0,V2), P_mult-{F}(V2,V6,V5), P_mult-{F}(V6,V0,V7), V7 == V0 | FALSE
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #1364: mergings( V1 == V4, V4 == V5, V5 == V7, V7 == V8, V8 == V9, V9 == V10, V6 == V11, V10 == V12; #1355 ), references = 1, size of lhs = 5:
% 78.67/78.83     P_mult-{F}(V0,V1,V0), P_mult-{F}(V0,V0,V2), P_ld-{F}(V0,V2,V0), P_rd-{F}(V0,V1,V3), P_ld-{F}(V0,V3,V1) | P_rd-{T}(V3,V0,V1)
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #1374: mergings( V3 == V4, V4 == V5; #1371 ), references = 1, size of lhs = 3:
% 78.67/78.83     pppp1-{F}(V0), P_mult-{F}(V1,V1,V2), P_ld-{F}(V1,V2,V1) | FALSE
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #1377: exists( #8, #1375 ), references = 1, size of lhs = 1:
% 78.67/78.83     pppp1-{F}(V0) | FALSE
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  #1379: exists( #5, #1376 ), references = 1, size of lhs = 0:
% 78.67/78.83     FALSE | FALSE
% 78.67/78.83        (used 0 times, uses = {})
% 78.67/78.83  
% 78.67/78.83  number of learnt formulas = 72
% 78.67/78.83  
% 78.67/78.83  
% 78.67/78.83  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 78.67/78.83  
% 78.67/78.83  randbase = 1
%------------------------------------------------------------------------------