TSTP Solution File: GRP560-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : GRP560-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n027.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 06:04:06 EDT 2022

% Result   : Unsatisfiable 1.83s 2.05s
% Output   : Refutation 1.83s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem  : GRP560-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.09/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n027.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 14:26:31 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.83/2.05  GeoParameters:
% 1.83/2.05  
% 1.83/2.05  tptp_input =     1
% 1.83/2.05  tptp_output =    0
% 1.83/2.05  nonempty =       1
% 1.83/2.05  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.83/2.05  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.83/2.05  
% 1.83/2.05  
% 1.83/2.05  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.83/2.05  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.83/2.05  
% 1.83/2.05  RuleSystem INPUT:
% 1.83/2.05  
% 1.83/2.05  Initial Rules:
% 1.83/2.05  #0: input, references = 10, size of lhs = 6:
% 1.83/2.05     P_divide-{F}(V1,V2,V3), P_divide-{F}(V0,V2,V4), P_divide-{F}(V3,V4,V5), P_inverse-{F}(V5,V6), P_divide-{F}(V0,V6,V7), V7 == V1 | FALSE
% 1.83/2.05        (used 0 times, uses = {})
% 1.83/2.05  
% 1.83/2.05  #1: input, references = 5, size of lhs = 4:
% 1.83/2.05     P_multiply-{F}(V0,V1,V2), P_inverse-{F}(V1,V3), P_divide-{F}(V0,V3,V4), V2 == V4 | FALSE
% 1.83/2.05        (used 0 times, uses = {})
% 1.83/2.05  
% 1.83/2.05  #2: input, references = 6, size of lhs = 4:
% 1.83/2.05     P_a-{F}(V0), P_b-{F}(V1), P_multiply-{F}(V0,V1,V3), P_multiply-{F}(V1,V0,V3) | FALSE
% 1.83/2.05        (used 0 times, uses = {})
% 1.83/2.05  
% 1.83/2.05  #3: input, references = 14, size of lhs = 2:
% 1.83/2.05     #-{F} V0, #-{F} V1 | EXISTS V2: P_divide-{T}(V0,V1,V2)
% 1.83/2.05        (used 0 times, uses = {})
% 1.83/2.05  
% 1.83/2.05  #4: input, references = 12, size of lhs = 1:
% 1.83/2.05     #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 1.83/2.05        (used 0 times, uses = {})
% 1.83/2.05  
% 1.83/2.05  #5: input, references = 6, size of lhs = 2:
% 1.83/2.05     #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 1.83/2.05        (used 0 times, uses = {})
% 1.83/2.05  
% 1.83/2.05  #6: input, references = 4, size of lhs = 0:
% 1.83/2.05     FALSE | EXISTS V0: P_a-{T}(V0)
% 1.83/2.05        (used 0 times, uses = {})
% 1.83/2.05  
% 1.83/2.05  #7: input, references = 4, size of lhs = 0:
% 1.83/2.05     FALSE | EXISTS V0: P_b-{T}(V0)
% 1.83/2.05        (used 0 times, uses = {})
% 1.83/2.05  
% 1.83/2.05  number of initial rules = 8
% 1.83/2.05  
% 1.83/2.05  Simplifiers:
% 1.83/2.05  #8: unsound, references = 3, size of lhs = 3:
% 1.83/2.05     P_divide-{F}(V0,V1,V2), P_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.83/2.05        (used 0 times, uses = {})
% 1.83/2.05  
% 1.83/2.05  #9: unsound, references = 3, size of lhs = 3:
% 1.83/2.05     P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 1.83/2.05        (used 0 times, uses = {})
% 1.83/2.05  
% 1.83/2.05  #10: unsound, references = 3, size of lhs = 3:
% 1.83/2.05     P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.83/2.05        (used 0 times, uses = {})
% 1.83/2.05  
% 1.83/2.05  #11: unsound, references = 3, size of lhs = 3:
% 1.83/2.05     P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 1.83/2.05        (used 0 times, uses = {})
% 1.83/2.05  
% 1.83/2.05  #12: unsound, references = 3, size of lhs = 3:
% 1.83/2.05     P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 1.83/2.05        (used 0 times, uses = {})
% 1.83/2.05  
% 1.83/2.05  number of simplifiers = 5
% 1.83/2.05  
% 1.83/2.05  Learnt:
% 1.83/2.05  #14: exists( #3, #1 ), references = 8, size of lhs = 2:
% 1.83/2.05     P_inverse-{F}(V0,V1), P_multiply-{F}(V2,V0,V3) | P_divide-{T}(V2,V1,V3)
% 1.83/2.05        (used 0 times, uses = {})
% 1.83/2.05  
% 1.83/2.05  #17: exists( #5, #15 ), references = 7, size of lhs = 5:
% 1.83/2.05     P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_divide-{F}(V3,V4,V2), P_divide-{F}(V5,V6,V4), P_divide-{F}(V7,V6,V3) | P_multiply-{T}(V5,V0,V7)
% 1.83/2.05        (used 0 times, uses = {})
% 1.83/2.05  
% 1.83/2.05  #19: exists( #5, #2 ), references = 1, size of lhs = 2:
% 1.83/2.05     P_a-{F}(V0), P_b-{F}(V0) | FALSE
% 1.83/2.05        (used 0 times, uses = {})
% 1.83/2.05  
% 1.83/2.05  #21: exists( #5, #1 ), references = 5, size of lhs = 2:
% 1.83/2.05     P_inverse-{F}(V0,V1), P_divide-{F}(V2,V1,V3) | P_multiply-{T}(V2,V0,V3)
% 1.83/2.05        (used 0 times, uses = {})
% 1.83/2.05  
% 1.83/2.05  #30: exists( #4, #28 ), references = 1, size of lhs = 7:
% 1.83/2.05     P_divide-{F}(V0,V0,V1), P_inverse-{F}(V1,V2), P_divide-{F}(V0,V3,V4), P_divide-{F}(V5,V3,V6), P_divide-{F}(V4,V6,V7), P_divide-{F}(V5,V2,V8), V8 == V5 | FALSE
% 1.83/2.05        (used 0 times, uses = {})
% 1.83/2.05  
% 1.83/2.05  #32: exists( #3, #29 ), references = 2, size of lhs = 6:
% 1.83/2.05     P_divide-{F}(V0,V0,V1), P_inverse-{F}(V1,V2), P_divide-{F}(V0,V3,V4), P_divide-{F}(V5,V3,V6), P_divide-{F}(V5,V2,V7), V7 == V5 | FALSE
% 1.83/2.05        (used 0 times, uses = {})
% 1.83/2.05  
% 1.83/2.05  #35: mergings( V5 == V3; #33 ), references = 20, size of lhs = 4:
% 1.83/2.05     P_divide-{F}(V0,V0,V1), P_inverse-{F}(V1,V2), P_divide-{F}(V0,V2,V0), #-{F} V3 | P_divide-{T}(V3,V2,V3)
% 1.83/2.05        (used 0 times, uses = {})
% 1.83/2.05  
% 1.83/2.05  #46: exists( #4, #44 ), references = 6, size of lhs = 10:
% 1.83/2.05     P_inverse-{F}(V0,V1), P_divide-{F}(V2,V3,V0), P_divide-{F}(V2,V4,V5), P_divide-{F}(V6,V4,V7), P_divide-{F}(V5,V7,V8), P_divide-{F}(V3,V9,V10), P_divide-{F}(V10,V11,V8), P_divide-{F}(V12,V9,V11), P_divide-{F}(V12,V1,V13), V13 == V6 | FALSE
% 1.83/2.05        (used 0 times, uses = {})
% 1.83/2.05  
% 1.83/2.05  #53: mergings( V4 == V5; #51 ), references = 2, size of lhs = 3:
% 1.83/2.05     P_divide-{F}(V0,V0,V1), P_divide-{F}(V2,V2,V1), P_divide-{F}(V0,V3,V2) | P_inverse-{T}(V1,V1)
% 1.83/2.05        (used 0 times, uses = {})
% 1.83/2.05  
% 1.83/2.05  #67: exists( #4, #65 ), references = 2, size of lhs = 11:
% 1.83/2.05     P_divide-{F}(V0,V0,V1), P_divide-{F}(V0,V2,V3), P_divide-{F}(V4,V2,V5), P_divide-{F}(V3,V5,V6), P_divide-{F}(V7,V4,V8), P_inverse-{F}(V8,V9), P_divide-{F}(V4,V9,V10), P_divide-{F}(V7,V11,V12), P_divide-{F}(V12,V13,V1), P_divide-{F}(V14,V11,V13), V10 == V14 | FALSE
% 1.83/2.05        (used 0 times, uses = {})
% 1.83/2.05  
% 1.83/2.05  #71: exists( #3, #32 ), references = 4, size of lhs = 4:
% 1.83/2.05     P_divide-{F}(V0,V0,V1), P_inverse-{F}(V1,V2), P_divide-{F}(V0,V3,V4), P_divide-{F}(V5,V3,V6) | P_divide-{T}(V5,V2,V5)
% 1.83/2.05        (used 0 times, uses = {})
% 1.83/2.05  
% 1.83/2.05  #72: exists( #3, #46 ), references = 1, size of lhs = 8:
% 1.83/2.05     P_inverse-{F}(V0,V1), P_divide-{F}(V2,V3,V0), P_divide-{F}(V2,V4,V5), P_divide-{F}(V6,V4,V7), P_divide-{F}(V5,V7,V8), P_divide-{F}(V3,V9,V10), P_divide-{F}(V10,V11,V8), P_divide-{F}(V12,V9,V11) | P_divide-{T}(V12,V1,V6)
% 1.83/2.05        (used 0 times, uses = {})
% 1.83/2.05  
% 1.83/2.05  #82: exists( #4, #76 ), references = 1, size of lhs = 8:
% 1.83/2.05     P_divide-{F}(V0,V0,V1), P_divide-{F}(V2,V2,V1), P_divide-{F}(V0,V3,V4), P_divide-{F}(V2,V3,V5), P_divide-{F}(V2,V6,V7), P_inverse-{F}(V7,V8), P_divide-{F}(V6,V8,V9), V9 == V2 | FALSE
% 1.83/2.05        (used 0 times, uses = {})
% 1.83/2.05  
% 1.83/2.05  #83: exists( #4, #77 ), references = 1, size of lhs = 12:
% 1.83/2.05     P_divide-{F}(V0,V0,V1), P_divide-{F}(V2,V2,V1), P_divide-{F}(V0,V3,V4), P_divide-{F}(V2,V3,V5), P_divide-{F}(V6,V6,V7), P_divide-{F}(V8,V6,V9), P_inverse-{F}(V9,V10), P_divide-{F}(V6,V10,V11), P_divide-{F}(V8,V12,V13), P_divide-{F}(V13,V14,V7), P_divide-{F}(V15,V12,V14), V11 == V15 | FALSE
% 1.83/2.05        (used 0 times, uses = {})
% 1.83/2.05  
% 1.83/2.05  #85: mergings( V8 == V9; #81 ), references = 1, size of lhs = 12:
% 1.83/2.05     P_divide-{F}(V0,V0,V1), P_divide-{F}(V2,V2,V1), P_divide-{F}(V0,V3,V4), P_divide-{F}(V2,V3,V5), P_divide-{F}(V6,V6,V7), P_divide-{F}(V8,V6,V9), P_inverse-{F}(V9,V10), P_divide-{F}(V6,V10,V11), P_divide-{F}(V8,V12,V13), P_divide-{F}(V13,V14,V7), P_divide-{F}(V15,V12,V14), V11 == V15 | FALSE
% 1.83/2.05        (used 0 times, uses = {})
% 1.83/2.05  
% 1.83/2.05  #89: exists( #3, #80 ), references = 1, size of lhs = 4:
% 1.83/2.05     P_inverse-{F}(V0,V1), P_divide-{F}(V2,V1,V0), P_divide-{F}(V2,V3,V1), P_divide-{F}(V4,V3,V1) | P_divide-{T}(V1,V1,V4)
% 1.83/2.05        (used 0 times, uses = {})
% 1.83/2.05  
% 1.83/2.05  #90: exists( #3, #79 ), references = 6, size of lhs = 6:
% 1.83/2.05     P_divide-{F}(V0,V0,V1), P_divide-{F}(V2,V2,V1), P_divide-{F}(V0,V3,V4), P_divide-{F}(V2,V3,V5), P_divide-{F}(V2,V6,V7), P_inverse-{F}(V7,V8) | P_divide-{T}(V6,V8,V2)
% 1.83/2.05        (used 0 times, uses = {})
% 1.83/2.05  
% 1.83/2.05  #119: exists( #4, #113 ), references = 3, size of lhs = 4:
% 1.83/2.05     P_divide-{F}(V0,V0,V1), P_divide-{F}(V2,V2,V1), P_divide-{F}(V0,V3,V4), P_divide-{F}(V2,V3,V5) | P_inverse-{T}(V1,V1)
% 1.83/2.05        (used 0 times, uses = {})
% 1.83/2.05  
% 1.83/2.05  #127: exists( #3, #0 ), references = 20, size of lhs = 4:
% 1.83/2.05     P_inverse-{F}(V0,V1), P_divide-{F}(V2,V3,V0), P_divide-{F}(V4,V5,V2), P_divide-{F}(V6,V5,V3) | P_divide-{T}(V6,V1,V4)
% 1.83/2.05        (used 0 times, uses = {})
% 1.83/2.05  
% 1.83/2.05  #128: exists( #3, #46 ), references = 1, size of lhs = 8:
% 1.83/2.05     P_inverse-{F}(V0,V1), P_divide-{F}(V2,V3,V0), P_divide-{F}(V2,V4,V5), P_divide-{F}(V6,V4,V7), P_divide-{F}(V5,V7,V8), P_divide-{F}(V3,V9,V10), P_divide-{F}(V10,V11,V8), P_divide-{F}(V12,V9,V11) | P_divide-{T}(V12,V1,V6)
% 1.83/2.05        (used 0 times, uses = {})
% 1.83/2.05  
% 1.83/2.05  #131: exists( #4, #129 ), references = 2, size of lhs = 6:
% 1.83/2.05     P_a-{F}(V0), P_b-{F}(V1), P_multiply-{F}(V0,V1,V2), P_divide-{F}(V1,V3,V4), P_divide-{F}(V2,V3,V5), P_divide-{F}(V5,V4,V0) | FALSE
% 1.83/2.05        (used 0 times, uses = {})
% 1.83/2.05  
% 1.83/2.05  #145: mergings( V6 == V5; #143 ), references = 10, size of lhs = 13:
% 1.83/2.05     P_divide-{F}(V0,V0,V1), P_inverse-{F}(V1,V2), P_divide-{F}(V0,V2,V0), P_divide-{F}(V3,V2,V3), P_divide-{F}(V3,V4,V5), P_divide-{F}(V3,V6,V7), P_inverse-{F}(V7,V8), P_divide-{F}(V6,V9,V10), P_divide-{F}(V11,V9,V12), P_divide-{F}(V10,V12,V13), P_divide-{F}(V13,V4,V14), P_divide-{F}(V14,V5,V15), P_divide-{F}(V11,V8,V16) | P_inverse-{T}(V15,V16)
% 1.83/2.05        (used 0 times, uses = {})
% 1.83/2.05  
% 1.83/2.05  #171: exists( #3, #167 ), references = 2, size of lhs = 36:
% 1.83/2.05     P_a-{F}(V0), P_inverse-{F}(V0,V1), P_b-{F}(V2), P_inverse-{F}(V3,V1), P_divide-{F}(V3,V4,V5), P_divide-{F}(V6,V4,V7), P_divide-{F}(V6,V6,V8), P_divide-{F}(V9,V9,V8), P_divide-{F}(V6,V10,V2), P_divide-{F}(V11,V1,V10), P_divide-{F}(V11,V12,V11), P_divide-{F}(V13,V12,V13), P_divide-{F}(V13,V13,V14), P_inverse-{F}(V14,V12), P_inverse-{F}(V15,V7), P_divide-{F}(V11,V16,V15), P_divide-{F}(V9,V17,V18), P_divide-{F}(V6,V17,V19), P_divide-{F}(V6,V20,V21), P_divide-{F}(V0,V20,V22), P_divide-{F}(V21,V22,V2), P_divide-{F}(V16,V23,V24), P_divide-{F}(V5,V23,V25), P_divide-{F}(V24,V25,V2), P_divide-{F}(V26,V26,V27), P_inverse-{F}(V27,V28), P_divide-{F}(V26,V28,V26), P_divide-{F}(V29,V28,V29), P_divide-{F}(V29,V30,V7), P_divide-{F}(V31,V30,V5), P_divide-{F}(V29,V32,V33), P_inverse-{F}(V33,V34), P_divide-{F}(V35,V34,V2), P_divide-{F}(V32,V36,V37), P_divide-{F}(V35,V36,V38), P_divide-{F}(V37,V38,V31) | FALSE
% 1.83/2.05        (used 0 times, uses = {})
% 1.83/2.05  
% 1.83/2.05  #172: exists( #3, #168 ), references = 2, size of lhs = 37:
% 1.83/2.05     P_a-{F}(V0), P_b-{F}(V1), P_divide-{F}(V2,V2,V3), P_divide-{F}(V4,V4,V3), P_divide-{F}(V4,V5,V4), P_divide-{F}(V4,V6,V1), P_inverse-{F}(V7,V4), P_divide-{F}(V8,V5,V9), P_inverse-{F}(V8,V10), P_divide-{F}(V8,V11,V0), P_divide-{F}(V11,V10,V9), P_divide-{F}(V12,V10,V6), P_divide-{F}(V12,V13,V7), P_divide-{F}(V12,V14,V12), P_divide-{F}(V15,V14,V15), P_divide-{F}(V15,V15,V16), P_inverse-{F}(V16,V14), P_divide-{F}(V2,V17,V18), P_divide-{F}(V4,V17,V19), P_divide-{F}(V0,V20,V21), P_divide-{F}(V4,V20,V22), P_divide-{F}(V22,V21,V1), P_divide-{F}(V13,V23,V24), P_divide-{F}(V9,V23,V25), P_divide-{F}(V24,V25,V1), P_divide-{F}(V26,V26,V27), P_inverse-{F}(V27,V28), P_divide-{F}(V26,V28,V26), P_divide-{F}(V29,V28,V29), P_divide-{F}(V29,V30,V4), P_divide-{F}(V31,V30,V9), P_divide-{F}(V29,V32,V33), P_inverse-{F}(V33,V34), P_divide-{F}(V35,V34,V1), P_divide-{F}(V32,V36,V37), P_divide-{F}(V35,V36,V38), P_divide-{F}(V37,V38,V31) | FALSE
% 1.83/2.05        (used 0 times, uses = {})
% 1.83/2.05  
% 1.83/2.05  #211: mergings( V10 == V3, V14 == V6, V6 == V3, V0 == V5, V19 == V23, V25 == V24; #203 ), references = 1, size of lhs = 42:
% 1.83/2.05     P_a-{F}(V0), P_b-{F}(V1), P_inverse-{F}(V0,V2), P_inverse-{F}(V3,V0), P_divide-{F}(V3,V3,V4), P_divide-{F}(V5,V5,V4), P_divide-{F}(V3,V1,V6), P_divide-{F}(V0,V7,V0), P_divide-{F}(V1,V7,V1), P_divide-{F}(V8,V7,V8), P_divide-{F}(V8,V8,V9), P_inverse-{F}(V9,V7), P_divide-{F}(V10,V7,V10), P_divide-{F}(V10,V10,V11), P_divide-{F}(V11,V2,V0), P_divide-{F}(V11,V7,V11), P_divide-{F}(V1,V12,V1), P_divide-{F}(V13,V12,V13), P_divide-{F}(V13,V13,V14), P_inverse-{F}(V14,V12), P_divide-{F}(V11,V15,V11), P_divide-{F}(V16,V15,V16), P_divide-{F}(V16,V16,V17), P_inverse-{F}(V17,V15), P_divide-{F}(V11,V18,V0), P_inverse-{F}(V19,V18), P_divide-{F}(V6,V20,V21), P_divide-{F}(V11,V20,V22), P_divide-{F}(V21,V22,V6), P_divide-{F}(V5,V23,V24), P_divide-{F}(V3,V23,V25), P_divide-{F}(V1,V26,V27), P_divide-{F}(V28,V26,V29), P_divide-{F}(V29,V27,V30), P_divide-{F}(V31,V28,V19), P_divide-{F}(V31,V32,V31), P_divide-{F}(V33,V32,V33), P_divide-{F}(V33,V33,V34), P_inverse-{F}(V34,V32), P_divide-{F}(V31,V35,V36), P_divide-{F}(V30,V35,V37), P_divide-{F}(V37,V36,V6) | FALSE
% 1.83/2.05        (used 0 times, uses = {})
% 1.83/2.05  
% 1.83/2.05  #218: mergings( V8 == V3, V0 == V4, V3 == V16, V16 == V17, V20 == V21, V23 == V22; #204 ), references = 1, size of lhs = 44:
% 1.83/2.05     P_a-{F}(V0), P_b-{F}(V1), P_inverse-{F}(V2,V0), P_divide-{F}(V2,V2,V3), P_divide-{F}(V4,V4,V3), P_divide-{F}(V2,V1,V5), P_inverse-{F}(V0,V6), P_divide-{F}(V0,V7,V0), P_divide-{F}(V7,V6,V0), P_divide-{F}(V1,V8,V1), P_divide-{F}(V0,V8,V0), P_divide-{F}(V9,V8,V9), P_divide-{F}(V9,V9,V10), P_inverse-{F}(V10,V8), P_divide-{F}(V11,V8,V11), P_divide-{F}(V11,V11,V12), P_divide-{F}(V12,V6,V0), P_divide-{F}(V12,V8,V12), P_divide-{F}(V1,V13,V1), P_divide-{F}(V14,V13,V14), P_divide-{F}(V14,V14,V15), P_inverse-{F}(V15,V13), P_divide-{F}(V12,V16,V0), P_divide-{F}(V12,V17,V12), P_divide-{F}(V18,V17,V18), P_divide-{F}(V18,V18,V19), P_inverse-{F}(V19,V17), P_inverse-{F}(V20,V16), P_divide-{F}(V5,V21,V22), P_divide-{F}(V12,V21,V23), P_divide-{F}(V22,V23,V5), P_divide-{F}(V4,V24,V25), P_divide-{F}(V2,V24,V26), P_divide-{F}(V1,V27,V28), P_divide-{F}(V29,V27,V30), P_divide-{F}(V30,V28,V31), P_divide-{F}(V32,V29,V20), P_divide-{F}(V32,V33,V32), P_divide-{F}(V34,V33,V34), P_divide-{F}(V34,V34,V35), P_inverse-{F}(V35,V33), P_divide-{F}(V32,V36,V37), P_divide-{F}(V31,V36,V38), P_divide-{F}(V38,V37,V5) | FALSE
% 1.83/2.05        (used 0 times, uses = {})
% 1.83/2.05  
% 1.83/2.05  #231: mergings( V26 == V17, V17 == V29, V9 == V3, V13 == V6, V6 == V3, V1 == V5, V29 == V21, V23 == V22; #221 ), references = 2, size of lhs = 38:
% 1.83/2.05     P_a-{F}(V0), P_b-{F}(V1), P_inverse-{F}(V0,V2), P_divide-{F}(V1,V3,V1), P_inverse-{F}(V4,V0), P_divide-{F}(V4,V4,V5), P_divide-{F}(V6,V6,V5), P_divide-{F}(V7,V3,V4), P_divide-{F}(V0,V8,V0), P_divide-{F}(V1,V8,V1), P_divide-{F}(V9,V8,V9), P_divide-{F}(V9,V9,V10), P_inverse-{F}(V10,V8), P_divide-{F}(V11,V8,V11), P_divide-{F}(V11,V11,V12), P_divide-{F}(V12,V2,V0), P_divide-{F}(V12,V8,V12), P_divide-{F}(V12,V12,V12), P_divide-{F}(V12,V7,V13), P_inverse-{F}(V13,V14), P_divide-{F}(V12,V14,V0), P_divide-{F}(V15,V12,V15), P_divide-{F}(V15,V15,V16), P_inverse-{F}(V16,V12), P_divide-{F}(V1,V17,V1), P_divide-{F}(V18,V17,V18), P_divide-{F}(V18,V18,V19), P_inverse-{F}(V19,V17), P_divide-{F}(V12,V20,V12), P_divide-{F}(V21,V20,V21), P_divide-{F}(V21,V21,V22), P_inverse-{F}(V22,V20), P_divide-{F}(V12,V23,V12), P_divide-{F}(V24,V23,V24), P_divide-{F}(V24,V24,V25), P_inverse-{F}(V25,V23), P_divide-{F}(V6,V26,V27), P_divide-{F}(V4,V26,V28) | FALSE
% 1.83/2.05        (used 0 times, uses = {})
% 1.83/2.05  
% 1.83/2.05  #240: mergings( V27 == V18, V18 == V30, V7 == V3, V1 == V4, V3 == V14, V14 == V15, V30 == V19, V21 == V20; #222 ), references = 2, size of lhs = 40:
% 1.83/2.05     P_a-{F}(V0), P_b-{F}(V1), P_divide-{F}(V1,V2,V1), P_inverse-{F}(V0,V3), P_divide-{F}(V0,V4,V0), P_divide-{F}(V4,V3,V0), P_inverse-{F}(V5,V0), P_divide-{F}(V5,V5,V6), P_divide-{F}(V7,V7,V6), P_divide-{F}(V8,V2,V5), P_divide-{F}(V1,V9,V1), P_divide-{F}(V0,V9,V0), P_divide-{F}(V10,V9,V10), P_divide-{F}(V10,V10,V11), P_inverse-{F}(V11,V9), P_divide-{F}(V12,V9,V12), P_divide-{F}(V12,V12,V13), P_divide-{F}(V13,V3,V0), P_divide-{F}(V13,V9,V13), P_divide-{F}(V13,V13,V13), P_divide-{F}(V13,V8,V14), P_inverse-{F}(V14,V15), P_divide-{F}(V13,V15,V0), P_divide-{F}(V16,V13,V16), P_divide-{F}(V16,V16,V17), P_inverse-{F}(V17,V13), P_divide-{F}(V1,V18,V1), P_divide-{F}(V19,V18,V19), P_divide-{F}(V19,V19,V20), P_inverse-{F}(V20,V18), P_divide-{F}(V13,V21,V13), P_divide-{F}(V22,V21,V22), P_divide-{F}(V22,V22,V23), P_inverse-{F}(V23,V21), P_divide-{F}(V13,V24,V13), P_divide-{F}(V25,V24,V25), P_divide-{F}(V25,V25,V26), P_inverse-{F}(V26,V24), P_divide-{F}(V7,V27,V28), P_divide-{F}(V5,V27,V29) | FALSE
% 1.83/2.05        (used 0 times, uses = {})
% 1.83/2.05  
% 1.83/2.05  #259: exists( #3, #255 ), references = 2, size of lhs = 3:
% 1.83/2.05     P_a-{F}(V0), P_b-{F}(V1), P_inverse-{F}(V2,V0) | FALSE
% 1.83/2.05        (used 0 times, uses = {})
% 1.83/2.05  
% 1.83/2.05  #290: mergings( V10 == V6; #286 ), references = 1, size of lhs = 13:
% 1.83/2.05     P_a-{F}(V0), P_b-{F}(V1), P_divide-{F}(V2,V2,V2), P_divide-{F}(V3,V2,V3), P_divide-{F}(V3,V3,V4), P_inverse-{F}(V4,V2), P_divide-{F}(V2,V5,V2), P_divide-{F}(V6,V5,V6), P_divide-{F}(V6,V6,V7), P_inverse-{F}(V7,V5), P_divide-{F}(V0,V8,V9), P_divide-{F}(V2,V8,V10), P_divide-{F}(V9,V10,V0) | FALSE
% 1.83/2.05        (used 0 times, uses = {})
% 1.83/2.05  
% 1.83/2.05  #293: mergings( V7 == V10, V23 == V10; #287 ), references = 1, size of lhs = 37:
% 1.83/2.05     P_a-{F}(V0), P_b-{F}(V1), P_divide-{F}(V0,V2,V0), P_divide-{F}(V1,V2,V1), P_divide-{F}(V3,V2,V3), P_divide-{F}(V3,V3,V4), P_inverse-{F}(V4,V2), P_divide-{F}(V5,V2,V5), P_divide-{F}(V5,V5,V6), P_divide-{F}(V6,V2,V6), P_divide-{F}(V1,V6,V1), P_divide-{F}(V6,V6,V6), P_divide-{F}(V7,V6,V7), P_divide-{F}(V7,V7,V8), P_inverse-{F}(V8,V6), P_divide-{F}(V9,V6,V9), P_divide-{F}(V9,V9,V10), P_inverse-{F}(V10,V6), P_divide-{F}(V1,V11,V1), P_divide-{F}(V12,V11,V12), P_divide-{F}(V12,V12,V13), P_inverse-{F}(V13,V11), P_divide-{F}(V6,V14,V6), P_divide-{F}(V15,V14,V15), P_divide-{F}(V15,V15,V16), P_inverse-{F}(V16,V14), P_divide-{F}(V6,V17,V6), P_divide-{F}(V18,V17,V18), P_divide-{F}(V18,V18,V19), P_inverse-{F}(V19,V17), P_divide-{F}(V6,V20,V6), P_divide-{F}(V21,V20,V21), P_divide-{F}(V21,V21,V22), P_inverse-{F}(V22,V20), P_divide-{F}(V0,V23,V24), P_divide-{F}(V6,V23,V25), P_divide-{F}(V24,V25,V0) | FALSE
% 1.83/2.05        (used 0 times, uses = {})
% 1.83/2.05  
% 1.83/2.05  #296: mergings( V7 == V10, V23 == V10; #288 ), references = 1, size of lhs = 38:
% 1.83/2.05     P_a-{F}(V0), P_b-{F}(V1), P_divide-{F}(V1,V2,V1), P_divide-{F}(V0,V2,V0), P_divide-{F}(V3,V2,V3), P_divide-{F}(V3,V3,V4), P_inverse-{F}(V4,V2), P_divide-{F}(V5,V2,V5), P_divide-{F}(V5,V5,V6), P_divide-{F}(V0,V6,V0), P_divide-{F}(V6,V2,V6), P_divide-{F}(V1,V6,V1), P_divide-{F}(V6,V6,V6), P_divide-{F}(V7,V6,V7), P_divide-{F}(V7,V7,V8), P_inverse-{F}(V8,V6), P_divide-{F}(V9,V6,V9), P_divide-{F}(V9,V9,V10), P_inverse-{F}(V10,V6), P_divide-{F}(V1,V11,V1), P_divide-{F}(V12,V11,V12), P_divide-{F}(V12,V12,V13), P_inverse-{F}(V13,V11), P_divide-{F}(V6,V14,V6), P_divide-{F}(V15,V14,V15), P_divide-{F}(V15,V15,V16), P_inverse-{F}(V16,V14), P_divide-{F}(V6,V17,V6), P_divide-{F}(V18,V17,V18), P_divide-{F}(V18,V18,V19), P_inverse-{F}(V19,V17), P_divide-{F}(V6,V20,V6), P_divide-{F}(V21,V20,V21), P_divide-{F}(V21,V21,V22), P_inverse-{F}(V22,V20), P_divide-{F}(V0,V23,V24), P_divide-{F}(V6,V23,V25), P_divide-{F}(V24,V25,V0) | FALSE
% 1.83/2.05        (used 0 times, uses = {})
% 1.83/2.05  
% 1.83/2.05  #314: exists( #3, #308 ), references = 1, size of lhs = 2:
% 1.83/2.05     P_a-{F}(V0), P_b-{F}(V1) | FALSE
% 1.83/2.05        (used 0 times, uses = {})
% 1.83/2.05  
% 1.83/2.05  #318: exists( #7, #311 ), references = 1, size of lhs = 1:
% 1.83/2.05     P_a-{F}(V0) | FALSE
% 1.83/2.05        (used 0 times, uses = {})
% 1.83/2.05  
% 1.83/2.05  #322: exists( #6, #315 ), references = 1, size of lhs = 0:
% 1.83/2.05     FALSE | FALSE
% 1.83/2.05        (used 0 times, uses = {})
% 1.83/2.05  
% 1.83/2.05  number of learnt formulas = 35
% 1.83/2.05  
% 1.83/2.05  
% 1.83/2.05  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.83/2.05  
% 1.83/2.05  randbase = 1
%------------------------------------------------------------------------------