TSTP Solution File: GRP710-11 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : GRP710-11 : TPTP v8.1.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n019.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 06:04:28 EDT 2022

% Result   : Unsatisfiable 61.25s 61.49s
% Output   : Refutation 61.25s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : GRP710-11 : TPTP v8.1.0. Released v8.1.0.
% 0.12/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n019.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 13:45:37 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 61.25/61.49  GeoParameters:
% 61.25/61.49  
% 61.25/61.49  tptp_input =     1
% 61.25/61.49  tptp_output =    0
% 61.25/61.49  nonempty =       1
% 61.25/61.49  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 61.25/61.49  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 61.25/61.49  
% 61.25/61.49  
% 61.25/61.49  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 61.25/61.49  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 61.25/61.49  
% 61.25/61.49  RuleSystem INPUT:
% 61.25/61.49  
% 61.25/61.49  Initial Rules:
% 61.25/61.49  #0: input, references = 6, size of lhs = 3:
% 61.25/61.49     P_unit-{F}(V0), P_mult-{F}(V1,V0,V2), V2 == V1 | FALSE
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #1: input, references = 5, size of lhs = 3:
% 61.25/61.49     P_unit-{F}(V0), P_mult-{F}(V0,V1,V2), V2 == V1 | FALSE
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #2: input, references = 12, size of lhs = 8:
% 61.25/61.49     P_unit-{F}(V0), P_mult-{F}(V2,V3,V4), P_mult-{F}(V2,V4,V5), P_mult-{F}(V1,V5,V6), P_mult-{F}(V1,V2,V7), P_mult-{F}(V7,V2,V8), P_mult-{F}(V8,V3,V9), V6 == V9 | FALSE
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #3: input, references = 4, size of lhs = 4:
% 61.25/61.49     P_unit-{F}(V0), P_i-{F}(V1,V2), P_mult-{F}(V1,V2,V3), V3 == V0 | FALSE
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #4: input, references = 4, size of lhs = 4:
% 61.25/61.49     P_unit-{F}(V0), P_i-{F}(V1,V2), P_mult-{F}(V2,V1,V3), V3 == V0 | FALSE
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #5: input, references = 7, size of lhs = 4:
% 61.25/61.49     P_unit-{F}(V0), P_x4-{F}(V1), P_x3-{F}(V2), P_mult-{F}(V3,V1,V2) | FALSE
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #6: input, references = 32, size of lhs = 2:
% 61.25/61.49     #-{F} V0, #-{F} V1 | EXISTS V2: P_mult-{T}(V0,V1,V2)
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #7: input, references = 4, size of lhs = 0:
% 61.25/61.49     FALSE | EXISTS V0: P_unit-{T}(V0)
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #8: input, references = 6, size of lhs = 1:
% 61.25/61.49     #-{F} V0 | EXISTS V1: P_i-{T}(V0,V1)
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #9: input, references = 4, size of lhs = 0:
% 61.25/61.49     FALSE | EXISTS V0: P_x4-{T}(V0)
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #10: input, references = 5, size of lhs = 0:
% 61.25/61.49     FALSE | EXISTS V0: P_x3-{T}(V0)
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  number of initial rules = 11
% 61.25/61.49  
% 61.25/61.49  Simplifiers:
% 61.25/61.49  #11: unsound, references = 3, size of lhs = 3:
% 61.25/61.49     P_mult-{F}(V0,V1,V2), P_mult-{F}(V0,V1,V5), V2 == V5 | FALSE
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #12: unsound, references = 3, size of lhs = 3:
% 61.25/61.49     P_unit-{F}(V0), P_unit-{F}(V1), V0 == V1 | FALSE
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #13: unsound, references = 3, size of lhs = 3:
% 61.25/61.49     P_i-{F}(V0,V1), P_i-{F}(V0,V3), V1 == V3 | FALSE
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #14: unsound, references = 3, size of lhs = 3:
% 61.25/61.49     P_x4-{F}(V0), P_x4-{F}(V1), V0 == V1 | FALSE
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #15: unsound, references = 3, size of lhs = 3:
% 61.25/61.49     P_x3-{F}(V0), P_x3-{F}(V1), V0 == V1 | FALSE
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  number of simplifiers = 5
% 61.25/61.49  
% 61.25/61.49  Learnt:
% 61.25/61.49  #18: exists( #6, #3 ), references = 1, size of lhs = 2:
% 61.25/61.49     P_unit-{F}(V0), P_i-{F}(V1,V2) | P_mult-{T}(V1,V2,V0)
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #19: exists( #6, #4 ), references = 6, size of lhs = 2:
% 61.25/61.49     P_unit-{F}(V0), P_i-{F}(V1,V2) | P_mult-{T}(V2,V1,V0)
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #29: mergings( V2 == V0; #25 ), references = 1, size of lhs = 1:
% 61.25/61.49     P_unit-{F}(V0) | P_i-{T}(V0,V0)
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #32: mergings( V2 == V3; #27 ), references = 1, size of lhs = 3:
% 61.25/61.49     P_x3-{F}(V0), P_unit-{F}(V0), P_x4-{F}(V1) | FALSE
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #34: exists( #6, #0 ), references = 11, size of lhs = 2:
% 61.25/61.49     P_unit-{F}(V0), #-{F} V1 | P_mult-{T}(V1,V0,V1)
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #38: mergings( V1 == V2; #36 ), references = 1, size of lhs = 2:
% 61.25/61.49     P_x4-{F}(V0), P_unit-{F}(V0) | FALSE
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #42: exists( #6, #1 ), references = 8, size of lhs = 2:
% 61.25/61.49     P_unit-{F}(V0), #-{F} V1 | P_mult-{T}(V0,V1,V1)
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #44: exists( #6, #2 ), references = 21, size of lhs = 6:
% 61.25/61.49     P_unit-{F}(V0), P_mult-{F}(V1,V2,V3), P_mult-{F}(V1,V3,V4), P_mult-{F}(V5,V1,V6), P_mult-{F}(V6,V1,V7), P_mult-{F}(V7,V2,V8) | P_mult-{T}(V5,V4,V8)
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #47: exists( #6, #2 ), references = 18, size of lhs = 6:
% 61.25/61.49     P_unit-{F}(V0), P_mult-{F}(V1,V2,V3), P_mult-{F}(V1,V3,V4), P_mult-{F}(V5,V4,V6), P_mult-{F}(V5,V1,V7), P_mult-{F}(V7,V1,V8) | P_mult-{T}(V8,V2,V6)
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #51: mergings( V3 == V4; #49 ), references = 4, size of lhs = 7:
% 61.25/61.49     P_unit-{F}(V0), P_x4-{F}(V1), P_x3-{F}(V2), P_mult-{F}(V3,V1,V4), P_mult-{F}(V3,V4,V5), P_mult-{F}(V6,V5,V2), P_mult-{F}(V6,V3,V7) | FALSE
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #64: mergings( V3 == V4; #61 ), references = 21, size of lhs = 5:
% 61.25/61.49     P_unit-{F}(V0), P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V1,V3), P_mult-{F}(V1,V4,V5), P_mult-{F}(V3,V4,V6) | P_mult-{T}(V1,V5,V6)
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #67: mergings( V3 == V4, V4 == V5; #62 ), references = 1, size of lhs = 7:
% 61.25/61.49     P_unit-{F}(V0), P_mult-{F}(V0,V0,V1), P_mult-{F}(V1,V0,V2), P_mult-{F}(V2,V3,V4), P_mult-{F}(V4,V3,V5), P_mult-{F}(V3,V6,V7), P_mult-{F}(V5,V6,V8) | P_mult-{T}(V3,V7,V8)
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #77: mergings( V3 == V4; #74 ), references = 16, size of lhs = 5:
% 61.25/61.49     P_unit-{F}(V0), P_mult-{F}(V1,V0,V2), P_mult-{F}(V1,V2,V3), P_mult-{F}(V4,V3,V5), P_mult-{F}(V4,V1,V6) | P_mult-{T}(V6,V1,V5)
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #85: mergings( V3 == V4, V4 == V5; #81 ), references = 2, size of lhs = 6:
% 61.25/61.49     P_unit-{F}(V0), P_x4-{F}(V1), P_mult-{F}(V1,V0,V2), P_mult-{F}(V1,V2,V3), P_x3-{F}(V4), P_mult-{F}(V5,V3,V4) | FALSE
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #89: mergings( V3 == V4, V4 == V5, V5 == V6; #82 ), references = 2, size of lhs = 8:
% 61.25/61.49     P_unit-{F}(V0), P_x4-{F}(V1), P_x3-{F}(V2), P_mult-{F}(V0,V1,V3), P_mult-{F}(V0,V3,V4), P_mult-{F}(V4,V0,V5), P_mult-{F}(V4,V5,V6), P_mult-{F}(V7,V6,V2) | FALSE
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #98: mergings( V2 == V3, V3 == V4; #95 ), references = 1, size of lhs = 5:
% 61.25/61.49     P_unit-{F}(V0), P_mult-{F}(V0,V1,V2), P_mult-{F}(V1,V3,V0), P_mult-{F}(V1,V4,V3), P_mult-{F}(V2,V4,V5) | P_i-{T}(V1,V5)
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #109: mergings( V3 == V4, V4 == V5; #106 ), references = 7, size of lhs = 9:
% 61.25/61.49     P_unit-{F}(V0), P_mult-{F}(V1,V2,V0), P_mult-{F}(V3,V2,V1), P_mult-{F}(V2,V4,V5), P_mult-{F}(V5,V4,V6), P_mult-{F}(V4,V7,V8), P_mult-{F}(V6,V7,V9), P_mult-{F}(V2,V9,V10), P_mult-{F}(V3,V10,V11) | P_mult-{T}(V4,V8,V11)
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #128: mergings( V3 == V4, V4 == V5, V5 == V6, V9 == V11, V10 == V12, V6 == V7, V7 == V8; #120 ), references = 1, size of lhs = 16:
% 61.25/61.49     P_unit-{F}(V0), P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V1,V3), P_mult-{F}(V0,V3,V4), P_mult-{F}(V4,V3,V5), P_mult-{F}(V5,V1,V6), P_mult-{F}(V6,V1,V7), P_mult-{F}(V1,V8,V9), P_mult-{F}(V7,V8,V10), P_mult-{F}(V1,V11,V9), P_mult-{F}(V5,V11,V12), P_mult-{F}(V11,V0,V13), P_mult-{F}(V11,V13,V12), P_mult-{F}(V11,V14,V11), P_mult-{F}(V11,V15,V14), P_mult-{F}(V10,V15,V16) | P_mult-{T}(V3,V11,V16)
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #188: mergings( V51 == V49, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V24 == V26, V25 == V27, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21; #166 ), references = 2, size of lhs = 55:
% 61.25/61.49     P_unit-{F}(V0), P_x4-{F}(V1), P_x3-{F}(V2), P_mult-{F}(V0,V3,V4), P_mult-{F}(V4,V3,V5), P_mult-{F}(V0,V5,V6), P_mult-{F}(V6,V5,V7), P_mult-{F}(V7,V3,V8), P_mult-{F}(V8,V3,V9), P_mult-{F}(V10,V7,V0), P_mult-{F}(V11,V7,V10), P_mult-{F}(V3,V12,V13), P_mult-{F}(V3,V14,V13), P_mult-{F}(V9,V12,V15), P_mult-{F}(V3,V15,V13), P_mult-{F}(V7,V15,V16), P_mult-{F}(V11,V15,V16), P_mult-{F}(V15,V1,V17), P_mult-{F}(V15,V17,V15), P_mult-{F}(V15,V0,V18), P_mult-{F}(V15,V18,V19), P_mult-{F}(V20,V3,V21), P_mult-{F}(V21,V3,V22), P_mult-{F}(V22,V14,V23), P_mult-{F}(V20,V23,V24), P_mult-{F}(V25,V24,V26), P_mult-{F}(V26,V5,V27), P_mult-{F}(V26,V27,V28), P_mult-{F}(V25,V20,V29), P_mult-{F}(V29,V20,V28), P_mult-{F}(V0,V28,V30), P_mult-{F}(V30,V28,V0), P_mult-{F}(V31,V26,V28), P_mult-{F}(V7,V31,V32), P_mult-{F}(V32,V31,V28), P_mult-{F}(V33,V5,V31), P_mult-{F}(V34,V5,V33), P_mult-{F}(V34,V7,V35), P_mult-{F}(V35,V7,V36), P_mult-{F}(V36,V5,V37), P_mult-{F}(V37,V5,V34), P_mult-{F}(V38,V31,V39), P_mult-{F}(V39,V31,V40), P_mult-{F}(V40,V28,V41), P_mult-{F}(V38,V41,V42), P_mult-{F}(V43,V42,V5), P_mult-{F}(V43,V38,V44), P_mult-{F}(V44,V38,V0), P_mult-{F}(V45,V36,V46), P_mult-{F}(V46,V36,V47), P_mult-{F}(V47,V19,V48), P_mult-{F}(V45,V48,V49), P_mult-{F}(V50,V49,V2), P_mult-{F}(V50,V45,V51), P_mult-{F}(V51,V45,V0) | FALSE
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #235: mergings( V3 == V4, V4 == V5, V5 == V6; #231 ), references = 1, size of lhs = 16:
% 61.25/61.49     P_unit-{F}(V0), P_x4-{F}(V1), P_x3-{F}(V2), P_mult-{F}(V0,V3,V4), P_mult-{F}(V4,V3,V5), P_mult-{F}(V3,V6,V7), P_mult-{F}(V7,V6,V8), P_mult-{F}(V5,V6,V9), P_mult-{F}(V9,V6,V10), P_mult-{F}(V10,V11,V2), P_mult-{F}(V6,V11,V12), P_mult-{F}(V6,V13,V12), P_mult-{F}(V8,V13,V14), P_mult-{F}(V15,V1,V16), P_mult-{F}(V15,V16,V14), P_mult-{F}(V3,V15,V17) | FALSE
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #240: mergings( V3 == V4, V4 == V5, V5 == V6; #236 ), references = 1, size of lhs = 15:
% 61.25/61.49     P_unit-{F}(V0), P_x4-{F}(V1), P_x3-{F}(V2), P_mult-{F}(V0,V3,V4), P_mult-{F}(V4,V3,V5), P_mult-{F}(V3,V6,V7), P_mult-{F}(V7,V6,V8), P_mult-{F}(V5,V6,V9), P_mult-{F}(V9,V6,V10), P_mult-{F}(V10,V11,V2), P_mult-{F}(V6,V11,V12), P_mult-{F}(V6,V13,V12), P_mult-{F}(V8,V13,V14), P_mult-{F}(V15,V1,V16), P_mult-{F}(V15,V16,V14) | FALSE
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #248: mergings( V11 == V13, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #242 ), references = 3, size of lhs = 16:
% 61.25/61.49     P_unit-{F}(V0), P_x4-{F}(V1), P_x3-{F}(V2), P_mult-{F}(V0,V3,V4), P_mult-{F}(V5,V3,V4), P_mult-{F}(V3,V6,V7), P_mult-{F}(V7,V6,V8), P_mult-{F}(V3,V7,V9), P_mult-{F}(V5,V9,V10), P_mult-{F}(V10,V6,V11), P_mult-{F}(V11,V12,V2), P_mult-{F}(V6,V12,V13), P_mult-{F}(V6,V14,V13), P_mult-{F}(V8,V14,V15), P_mult-{F}(V16,V1,V17), P_mult-{F}(V16,V17,V15) | FALSE
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #257: mergings( V17 == V19, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #250 ), references = 3, size of lhs = 17:
% 61.25/61.49     P_unit-{F}(V0), P_x4-{F}(V1), P_x3-{F}(V2), P_mult-{F}(V0,V3,V4), P_mult-{F}(V4,V3,V5), P_mult-{F}(V5,V1,V6), P_mult-{F}(V0,V7,V8), P_mult-{F}(V9,V7,V8), P_mult-{F}(V7,V10,V11), P_mult-{F}(V11,V10,V12), P_mult-{F}(V7,V11,V13), P_mult-{F}(V9,V13,V14), P_mult-{F}(V14,V10,V15), P_mult-{F}(V15,V16,V2), P_mult-{F}(V10,V16,V17), P_mult-{F}(V10,V18,V17), P_mult-{F}(V12,V18,V6) | FALSE
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #273: mergings( V3 == V4, V4 == V5, V5 == V6, V13 == V15, V14 == V16, V6 == V7, V7 == V8; #265 ), references = 1, size of lhs = 16:
% 61.25/61.49     P_unit-{F}(V0), P_mult-{F}(V1,V0,V2), P_mult-{F}(V1,V2,V3), P_mult-{F}(V3,V0,V4), P_mult-{F}(V3,V4,V5), P_mult-{F}(V1,V5,V6), P_mult-{F}(V1,V6,V7), P_mult-{F}(V8,V1,V9), P_mult-{F}(V8,V7,V10), P_mult-{F}(V11,V1,V9), P_mult-{F}(V11,V5,V12), P_mult-{F}(V0,V11,V13), P_mult-{F}(V13,V11,V12), P_mult-{F}(V14,V11,V11), P_mult-{F}(V15,V11,V14), P_mult-{F}(V15,V10,V16) | P_mult-{T}(V11,V3,V16)
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #320: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #312 ), references = 1, size of lhs = 34:
% 61.25/61.49     P_unit-{F}(V0), P_x4-{F}(V1), P_x3-{F}(V2), P_mult-{F}(V0,V3,V4), P_mult-{F}(V4,V3,V5), P_mult-{F}(V3,V3,V6), P_mult-{F}(V6,V3,V7), P_mult-{F}(V3,V8,V9), P_mult-{F}(V3,V10,V9), P_mult-{F}(V7,V10,V11), P_mult-{F}(V12,V1,V13), P_mult-{F}(V12,V13,V14), P_mult-{F}(V15,V11,V16), P_mult-{F}(V15,V3,V17), P_mult-{F}(V17,V3,V18), P_mult-{F}(V18,V16,V19), P_mult-{F}(V20,V18,V21), P_mult-{F}(V21,V18,V22), P_mult-{F}(V0,V22,V23), P_mult-{F}(V23,V22,V24), P_mult-{F}(V24,V9,V25), P_mult-{F}(V0,V25,V26), P_mult-{F}(V27,V25,V26), P_mult-{F}(V20,V19,V28), P_mult-{F}(V28,V0,V29), P_mult-{F}(V28,V29,V30), P_mult-{F}(V22,V30,V31), P_mult-{F}(V25,V31,V32), P_mult-{F}(V27,V32,V25), P_mult-{F}(V31,V33,V2), P_mult-{F}(V31,V28,V34), P_mult-{F}(V28,V33,V35), P_mult-{F}(V28,V36,V35), P_mult-{F}(V34,V36,V14) | FALSE
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #327: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #313 ), references = 1, size of lhs = 35:
% 61.25/61.49     P_unit-{F}(V0), P_x4-{F}(V1), P_x3-{F}(V2), P_mult-{F}(V0,V3,V4), P_mult-{F}(V4,V3,V5), P_mult-{F}(V3,V3,V6), P_mult-{F}(V6,V3,V7), P_mult-{F}(V3,V8,V9), P_mult-{F}(V3,V10,V9), P_mult-{F}(V7,V10,V11), P_mult-{F}(V0,V12,V13), P_mult-{F}(V13,V12,V14), P_mult-{F}(V14,V1,V15), P_mult-{F}(V16,V11,V17), P_mult-{F}(V16,V3,V18), P_mult-{F}(V18,V3,V19), P_mult-{F}(V19,V17,V20), P_mult-{F}(V21,V19,V22), P_mult-{F}(V22,V19,V23), P_mult-{F}(V0,V23,V24), P_mult-{F}(V24,V23,V25), P_mult-{F}(V25,V9,V26), P_mult-{F}(V0,V26,V27), P_mult-{F}(V28,V26,V27), P_mult-{F}(V21,V20,V29), P_mult-{F}(V29,V0,V30), P_mult-{F}(V29,V30,V31), P_mult-{F}(V23,V31,V32), P_mult-{F}(V26,V32,V33), P_mult-{F}(V28,V33,V26), P_mult-{F}(V32,V34,V2), P_mult-{F}(V32,V29,V35), P_mult-{F}(V29,V34,V36), P_mult-{F}(V29,V37,V36), P_mult-{F}(V35,V37,V15) | FALSE
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #389: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V17 == V19, V18 == V20, V7 == V8, V8 == V9; #378 ), references = 1, size of lhs = 23:
% 61.25/61.49     P_unit-{F}(V0), P_x4-{F}(V1), P_x3-{F}(V2), P_mult-{F}(V0,V3,V2), P_mult-{F}(V4,V0,V5), P_mult-{F}(V4,V5,V6), P_mult-{F}(V6,V0,V7), P_mult-{F}(V6,V7,V8), P_mult-{F}(V4,V8,V9), P_mult-{F}(V4,V9,V10), P_mult-{F}(V11,V4,V12), P_mult-{F}(V13,V4,V12), P_mult-{F}(V11,V8,V14), P_mult-{F}(V13,V10,V15), P_mult-{F}(V15,V16,V0), P_mult-{F}(V6,V16,V17), P_mult-{F}(V6,V17,V18), P_mult-{F}(V0,V18,V19), P_mult-{F}(V18,V3,V20), P_mult-{F}(V18,V21,V20), P_mult-{F}(V19,V21,V22), P_mult-{F}(V23,V1,V24), P_mult-{F}(V23,V24,V22) | FALSE
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #398: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V17 == V19, V18 == V20, V7 == V8, V8 == V9; #379 ), references = 1, size of lhs = 24:
% 61.25/61.49     P_unit-{F}(V0), P_x4-{F}(V1), P_x3-{F}(V2), P_mult-{F}(V0,V3,V2), P_mult-{F}(V4,V0,V5), P_mult-{F}(V4,V5,V6), P_mult-{F}(V6,V0,V7), P_mult-{F}(V6,V7,V8), P_mult-{F}(V4,V8,V9), P_mult-{F}(V4,V9,V10), P_mult-{F}(V11,V4,V12), P_mult-{F}(V13,V4,V12), P_mult-{F}(V11,V8,V14), P_mult-{F}(V13,V10,V15), P_mult-{F}(V15,V16,V0), P_mult-{F}(V6,V16,V17), P_mult-{F}(V6,V17,V18), P_mult-{F}(V0,V18,V19), P_mult-{F}(V18,V3,V20), P_mult-{F}(V18,V21,V20), P_mult-{F}(V19,V21,V22), P_mult-{F}(V23,V1,V22), P_mult-{F}(V0,V24,V25), P_mult-{F}(V25,V24,V23) | FALSE
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #409: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V15 == V16, V1 == V17, V7 == V8, V8 == V9; #399 ), references = 1, size of lhs = 20:
% 61.25/61.49     P_unit-{F}(V0), P_x4-{F}(V1), P_x3-{F}(V2), P_mult-{F}(V0,V3,V2), P_mult-{F}(V4,V1,V5), P_mult-{F}(V4,V5,V6), P_mult-{F}(V7,V0,V8), P_mult-{F}(V7,V8,V9), P_mult-{F}(V9,V0,V10), P_mult-{F}(V9,V10,V7), P_mult-{F}(V7,V7,V11), P_mult-{F}(V7,V11,V12), P_mult-{F}(V13,V12,V14), P_mult-{F}(V14,V15,V0), P_mult-{F}(V9,V15,V16), P_mult-{F}(V9,V16,V17), P_mult-{F}(V0,V17,V18), P_mult-{F}(V17,V3,V19), P_mult-{F}(V17,V20,V19), P_mult-{F}(V18,V20,V6) | FALSE
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #418: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V15 == V16, V1 == V17, V7 == V8, V8 == V9; #400 ), references = 1, size of lhs = 21:
% 61.25/61.49     P_unit-{F}(V0), P_x4-{F}(V1), P_x3-{F}(V2), P_mult-{F}(V0,V3,V2), P_mult-{F}(V0,V4,V5), P_mult-{F}(V5,V4,V6), P_mult-{F}(V6,V1,V7), P_mult-{F}(V8,V0,V9), P_mult-{F}(V8,V9,V10), P_mult-{F}(V10,V0,V11), P_mult-{F}(V10,V11,V8), P_mult-{F}(V8,V8,V12), P_mult-{F}(V8,V12,V13), P_mult-{F}(V14,V13,V15), P_mult-{F}(V15,V16,V0), P_mult-{F}(V10,V16,V17), P_mult-{F}(V10,V17,V18), P_mult-{F}(V0,V18,V19), P_mult-{F}(V18,V3,V20), P_mult-{F}(V18,V21,V20), P_mult-{F}(V19,V21,V7) | FALSE
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #432: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V19 == V22, V20 == V23, V8 == V9, V9 == V10; #421 ), references = 1, size of lhs = 21:
% 61.25/61.49     P_unit-{F}(V0), P_x4-{F}(V1), P_x3-{F}(V2), P_mult-{F}(V0,V3,V2), P_mult-{F}(V4,V1,V5), P_mult-{F}(V4,V5,V6), P_mult-{F}(V0,V7,V8), P_mult-{F}(V8,V7,V9), P_mult-{F}(V7,V0,V10), P_mult-{F}(V7,V10,V11), P_mult-{F}(V11,V0,V12), P_mult-{F}(V11,V12,V7), P_mult-{F}(V11,V11,V13), P_mult-{F}(V11,V13,V14), P_mult-{F}(V9,V15,V16), P_mult-{F}(V0,V16,V17), P_mult-{F}(V16,V3,V18), P_mult-{F}(V16,V19,V18), P_mult-{F}(V17,V19,V6), P_mult-{F}(V20,V15,V0), P_mult-{F}(V21,V14,V20) | FALSE
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #442: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V20 == V23, V21 == V24, V8 == V9, V9 == V10; #422 ), references = 1, size of lhs = 22:
% 61.25/61.49     P_unit-{F}(V0), P_x4-{F}(V1), P_x3-{F}(V2), P_mult-{F}(V0,V3,V2), P_mult-{F}(V0,V4,V5), P_mult-{F}(V5,V4,V6), P_mult-{F}(V6,V1,V7), P_mult-{F}(V0,V8,V9), P_mult-{F}(V9,V8,V10), P_mult-{F}(V8,V0,V11), P_mult-{F}(V8,V11,V12), P_mult-{F}(V12,V0,V13), P_mult-{F}(V12,V13,V8), P_mult-{F}(V12,V12,V14), P_mult-{F}(V12,V14,V15), P_mult-{F}(V10,V16,V17), P_mult-{F}(V0,V17,V18), P_mult-{F}(V17,V3,V19), P_mult-{F}(V17,V20,V19), P_mult-{F}(V18,V20,V7), P_mult-{F}(V21,V16,V0), P_mult-{F}(V22,V15,V21) | FALSE
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #485: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #478 ), references = 1, size of lhs = 17:
% 61.25/61.49     P_unit-{F}(V0), P_mult-{F}(V0,V0,V1), P_mult-{F}(V0,V2,V3), P_mult-{F}(V3,V2,V4), P_mult-{F}(V0,V4,V5), P_mult-{F}(V5,V4,V6), P_mult-{F}(V4,V1,V7), P_mult-{F}(V8,V4,V0), P_mult-{F}(V9,V4,V8), P_mult-{F}(V9,V7,V10), P_mult-{F}(V2,V11,V12), P_mult-{F}(V2,V13,V12), P_mult-{F}(V6,V11,V14), P_mult-{F}(V14,V2,V15), P_mult-{F}(V15,V2,V16), P_mult-{F}(V16,V13,V0), P_mult-{F}(V14,V10,V17) | P_mult-{T}(V4,V11,V17)
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #508: mergings( V3 == V4, V4 == V5; #504 ), references = 2, size of lhs = 16:
% 61.25/61.49     P_unit-{F}(V0), P_mult-{F}(V1,V0,V2), P_mult-{F}(V1,V2,V3), P_mult-{F}(V4,V3,V5), P_mult-{F}(V6,V4,V0), P_mult-{F}(V7,V4,V6), P_mult-{F}(V1,V8,V9), P_mult-{F}(V5,V8,V10), P_mult-{F}(V4,V10,V11), P_mult-{F}(V7,V11,V12), P_mult-{F}(V1,V13,V14), P_mult-{F}(V14,V13,V15), P_mult-{F}(V13,V16,V9), P_mult-{F}(V13,V17,V16), P_mult-{F}(V15,V17,V18), V12 == V18 | FALSE
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #511: mergings( V3 == V4, V4 == V5; #505 ), references = 1, size of lhs = 63:
% 61.25/61.49     P_unit-{F}(V0), P_x4-{F}(V1), P_x3-{F}(V2), P_mult-{F}(V3,V0,V4), P_mult-{F}(V3,V4,V5), P_mult-{F}(V6,V3,V0), P_mult-{F}(V7,V3,V6), P_mult-{F}(V7,V8,V2), P_mult-{F}(V3,V9,V8), P_mult-{F}(V10,V5,V11), P_mult-{F}(V12,V10,V0), P_mult-{F}(V13,V10,V12), P_mult-{F}(V0,V14,V15), P_mult-{F}(V15,V14,V16), P_mult-{F}(V0,V16,V17), P_mult-{F}(V17,V16,V18), P_mult-{F}(V18,V14,V19), P_mult-{F}(V19,V14,V20), P_mult-{F}(V21,V18,V0), P_mult-{F}(V22,V18,V21), P_mult-{F}(V14,V23,V24), P_mult-{F}(V14,V25,V24), P_mult-{F}(V20,V23,V26), P_mult-{F}(V14,V26,V24), P_mult-{F}(V18,V26,V27), P_mult-{F}(V22,V26,V27), P_mult-{F}(V26,V1,V28), P_mult-{F}(V26,V28,V26), P_mult-{F}(V26,V0,V29), P_mult-{F}(V26,V29,V30), P_mult-{F}(V31,V30,V9), P_mult-{F}(V32,V14,V33), P_mult-{F}(V33,V14,V34), P_mult-{F}(V34,V25,V35), P_mult-{F}(V32,V35,V36), P_mult-{F}(V37,V36,V38), P_mult-{F}(V38,V16,V39), P_mult-{F}(V38,V39,V40), P_mult-{F}(V37,V32,V41), P_mult-{F}(V41,V32,V40), P_mult-{F}(V0,V40,V42), P_mult-{F}(V42,V40,V0), P_mult-{F}(V43,V38,V40), P_mult-{F}(V18,V43,V44), P_mult-{F}(V44,V43,V40), P_mult-{F}(V45,V16,V43), P_mult-{F}(V46,V16,V45), P_mult-{F}(V46,V18,V47), P_mult-{F}(V47,V18,V48), P_mult-{F}(V48,V16,V49), P_mult-{F}(V49,V16,V46), P_mult-{F}(V3,V50,V48), P_mult-{F}(V11,V50,V51), P_mult-{F}(V10,V51,V52), P_mult-{F}(V13,V52,V53), P_mult-{F}(V53,V48,V31), P_mult-{F}(V54,V43,V55), P_mult-{F}(V55,V43,V56), P_mult-{F}(V56,V40,V57), P_mult-{F}(V54,V57,V58), P_mult-{F}(V59,V58,V16), P_mult-{F}(V59,V54,V60), P_mult-{F}(V60,V54,V0) | FALSE
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #560: mergings( V3 == V4, V4 == V5; #557 ), references = 1, size of lhs = 19:
% 61.25/61.49     P_unit-{F}(V0), P_mult-{F}(V1,V0,V2), P_mult-{F}(V1,V2,V3), P_mult-{F}(V1,V1,V4), P_mult-{F}(V4,V1,V5), P_mult-{F}(V1,V6,V7), P_mult-{F}(V5,V6,V8), P_mult-{F}(V9,V3,V10), P_mult-{F}(V10,V7,V11), P_mult-{F}(V9,V11,V12), P_mult-{F}(V13,V9,V0), P_mult-{F}(V14,V9,V13), P_mult-{F}(V14,V12,V15), V15 == V8, P_mult-{F}(V0,V16,V17), P_mult-{F}(V17,V16,V18), P_mult-{F}(V18,V19,V7), P_mult-{F}(V1,V16,V20), P_mult-{F}(V20,V16,V16) | FALSE
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #572: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #565 ), references = 1, size of lhs = 30:
% 61.25/61.49     P_unit-{F}(V0), P_mult-{F}(V1,V0,V2), P_mult-{F}(V1,V2,V3), P_mult-{F}(V4,V3,V5), P_mult-{F}(V6,V0,V7), P_mult-{F}(V6,V7,V8), P_mult-{F}(V6,V6,V9), P_mult-{F}(V9,V6,V10), P_mult-{F}(V6,V11,V12), P_mult-{F}(V10,V11,V13), P_mult-{F}(V14,V12,V12), P_mult-{F}(V15,V8,V14), P_mult-{F}(V0,V15,V16), P_mult-{F}(V16,V15,V17), P_mult-{F}(V18,V15,V0), P_mult-{F}(V19,V15,V18), P_mult-{F}(V4,V20,V15), P_mult-{F}(V1,V21,V20), P_mult-{F}(V1,V22,V21), P_mult-{F}(V23,V22,V5), P_mult-{F}(V23,V24,V12), P_mult-{F}(V22,V25,V24), P_mult-{F}(V22,V26,V25), P_mult-{F}(V17,V26,V27), P_mult-{F}(V19,V27,V28), V28 == V13, P_mult-{F}(V0,V29,V30), P_mult-{F}(V30,V29,V15), P_mult-{F}(V6,V29,V31), P_mult-{F}(V31,V29,V29) | FALSE
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #609: mergings( V3 == V4; #606 ), references = 1, size of lhs = 9:
% 61.25/61.49     P_unit-{F}(V0), P_x4-{F}(V1), P_mult-{F}(V1,V0,V2), P_mult-{F}(V1,V2,V3), P_x3-{F}(V4), P_mult-{F}(V5,V3,V6), P_mult-{F}(V5,V6,V7), P_mult-{F}(V8,V7,V4), P_mult-{F}(V8,V5,V9) | FALSE
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #611: mergings( V3 == V4; #607 ), references = 1, size of lhs = 11:
% 61.25/61.49     P_unit-{F}(V0), P_x4-{F}(V1), P_x3-{F}(V2), P_mult-{F}(V0,V1,V3), P_mult-{F}(V0,V3,V4), P_mult-{F}(V4,V0,V5), P_mult-{F}(V4,V5,V6), P_mult-{F}(V7,V6,V8), P_mult-{F}(V7,V8,V9), P_mult-{F}(V10,V9,V2), P_mult-{F}(V10,V7,V11) | FALSE
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #618: mergings( V3 == V4, V4 == V5; #614 ), references = 1, size of lhs = 13:
% 61.25/61.49     P_unit-{F}(V0), P_x4-{F}(V1), P_mult-{F}(V1,V0,V2), P_mult-{F}(V1,V2,V3), P_x3-{F}(V4), P_mult-{F}(V5,V6,V3), P_mult-{F}(V5,V7,V6), P_mult-{F}(V8,V5,V9), P_mult-{F}(V9,V5,V10), P_mult-{F}(V10,V7,V11), P_mult-{F}(V8,V11,V12), P_mult-{F}(V13,V12,V4), P_mult-{F}(V13,V8,V14) | FALSE
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #621: mergings( V3 == V4, V4 == V5; #615 ), references = 1, size of lhs = 15:
% 61.25/61.49     P_unit-{F}(V0), P_x4-{F}(V1), P_x3-{F}(V2), P_mult-{F}(V0,V1,V3), P_mult-{F}(V0,V3,V4), P_mult-{F}(V4,V0,V5), P_mult-{F}(V4,V5,V6), P_mult-{F}(V7,V8,V6), P_mult-{F}(V7,V9,V8), P_mult-{F}(V10,V7,V11), P_mult-{F}(V11,V7,V12), P_mult-{F}(V12,V9,V13), P_mult-{F}(V10,V13,V14), P_mult-{F}(V15,V14,V2), P_mult-{F}(V15,V10,V16) | FALSE
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #626: mergings( V3 == V4, V4 == V5; #622 ), references = 1, size of lhs = 12:
% 61.25/61.49     P_unit-{F}(V0), P_x4-{F}(V1), P_mult-{F}(V1,V0,V2), P_mult-{F}(V1,V2,V3), P_x3-{F}(V4), P_mult-{F}(V5,V6,V3), P_mult-{F}(V5,V7,V6), P_mult-{F}(V8,V5,V9), P_mult-{F}(V9,V5,V10), P_mult-{F}(V10,V7,V11), P_mult-{F}(V8,V11,V12), P_mult-{F}(V13,V12,V4) | FALSE
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #629: mergings( V3 == V4, V4 == V5; #623 ), references = 1, size of lhs = 14:
% 61.25/61.49     P_unit-{F}(V0), P_x4-{F}(V1), P_x3-{F}(V2), P_mult-{F}(V0,V1,V3), P_mult-{F}(V0,V3,V4), P_mult-{F}(V4,V0,V5), P_mult-{F}(V4,V5,V6), P_mult-{F}(V7,V8,V6), P_mult-{F}(V7,V9,V8), P_mult-{F}(V10,V7,V11), P_mult-{F}(V11,V7,V12), P_mult-{F}(V12,V9,V13), P_mult-{F}(V10,V13,V14), P_mult-{F}(V15,V14,V2) | FALSE
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #634: mergings( V3 == V4, V4 == V5; #630 ), references = 1, size of lhs = 10:
% 61.25/61.49     P_unit-{F}(V0), P_x4-{F}(V1), P_mult-{F}(V1,V0,V2), P_x3-{F}(V3), P_mult-{F}(V1,V4,V2), P_mult-{F}(V5,V1,V6), P_mult-{F}(V6,V1,V7), P_mult-{F}(V7,V4,V8), P_mult-{F}(V5,V8,V9), P_mult-{F}(V10,V9,V3) | FALSE
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #637: mergings( V3 == V4, V4 == V5; #631 ), references = 1, size of lhs = 12:
% 61.25/61.49     P_unit-{F}(V0), P_x4-{F}(V1), P_x3-{F}(V2), P_mult-{F}(V0,V1,V3), P_mult-{F}(V0,V3,V4), P_mult-{F}(V4,V0,V5), P_mult-{F}(V4,V6,V5), P_mult-{F}(V7,V4,V8), P_mult-{F}(V8,V4,V9), P_mult-{F}(V9,V6,V10), P_mult-{F}(V7,V10,V11), P_mult-{F}(V12,V11,V2) | FALSE
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #645: mergings( V2 == V3, V3 == V4, V4 == V5; #640 ), references = 2, size of lhs = 8:
% 61.25/61.49     P_unit-{F}(V0), P_x4-{F}(V1), P_mult-{F}(V1,V0,V2), P_x3-{F}(V3), P_mult-{F}(V1,V4,V2), P_mult-{F}(V0,V1,V5), P_mult-{F}(V5,V4,V1), P_mult-{F}(V6,V0,V3) | FALSE
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #649: mergings( V2 == V3, V3 == V4, V4 == V5; #641 ), references = 2, size of lhs = 10:
% 61.25/61.49     P_unit-{F}(V0), P_x4-{F}(V1), P_x3-{F}(V2), P_mult-{F}(V0,V1,V3), P_mult-{F}(V0,V3,V4), P_mult-{F}(V4,V0,V5), P_mult-{F}(V4,V6,V5), P_mult-{F}(V0,V4,V7), P_mult-{F}(V7,V6,V4), P_mult-{F}(V8,V0,V2) | FALSE
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #654: exists( #10, #650 ), references = 1, size of lhs = 6:
% 61.25/61.49     P_unit-{F}(V0), P_x4-{F}(V1), P_mult-{F}(V1,V0,V2), P_mult-{F}(V1,V3,V2), P_mult-{F}(V0,V1,V4), P_mult-{F}(V4,V3,V1) | FALSE
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #655: exists( #10, #651 ), references = 1, size of lhs = 8:
% 61.25/61.49     P_unit-{F}(V0), P_x4-{F}(V1), P_mult-{F}(V0,V1,V2), P_mult-{F}(V0,V2,V3), P_mult-{F}(V3,V0,V4), P_mult-{F}(V3,V5,V4), P_mult-{F}(V0,V3,V6), P_mult-{F}(V6,V5,V3) | FALSE
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #662: exists( #9, #658 ), references = 1, size of lhs = 1:
% 61.25/61.49     P_unit-{F}(V0) | FALSE
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  #665: exists( #7, #660 ), references = 1, size of lhs = 0:
% 61.25/61.49     FALSE | FALSE
% 61.25/61.49        (used 0 times, uses = {})
% 61.25/61.49  
% 61.25/61.49  number of learnt formulas = 51
% 61.25/61.49  
% 61.25/61.49  
% 61.25/61.49  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 61.25/61.49  
% 61.25/61.49  randbase = 1
%------------------------------------------------------------------------------