TSTP Solution File: GRP660-12 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : GRP660-12 : TPTP v8.1.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n023.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   : Unsatisfiable 87.11s 87.28s
% Output   : Refutation 87.11s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : GRP660-12 : TPTP v8.1.0. Released v8.1.0.
% 0.06/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n023.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 14:41:50 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 87.11/87.28  GeoParameters:
% 87.11/87.28  
% 87.11/87.28  tptp_input =     1
% 87.11/87.28  tptp_output =    0
% 87.11/87.28  nonempty =       1
% 87.11/87.28  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 87.11/87.28  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 87.11/87.28  
% 87.11/87.28  
% 87.11/87.28  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 87.11/87.28  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 87.11/87.28  
% 87.11/87.28  RuleSystem INPUT:
% 87.11/87.28  
% 87.11/87.28  Initial Rules:
% 87.11/87.28  #0: input, references = 5, size of lhs = 3:
% 87.11/87.28     P_ld-{F}(V0,V1,V2), P_mult-{F}(V0,V2,V3), V3 == V1 | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #1: input, references = 13, size of lhs = 3:
% 87.11/87.28     P_mult-{F}(V0,V1,V2), P_ld-{F}(V0,V2,V3), V3 == V1 | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #2: input, references = 4, size of lhs = 3:
% 87.11/87.28     P_rd-{F}(V0,V1,V2), P_mult-{F}(V2,V1,V3), V3 == V0 | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #3: input, references = 10, size of lhs = 3:
% 87.11/87.28     P_mult-{F}(V0,V1,V2), P_rd-{F}(V2,V1,V3), V3 == V0 | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #4: input, references = 7, size of lhs = 7:
% 87.11/87.28     P_mult-{F}(V0,V1,V3), P_mult-{F}(V3,V2,V4), P_mult-{F}(V4,V0,V5), P_mult-{F}(V2,V0,V6), P_mult-{F}(V1,V6,V7), P_mult-{F}(V0,V7,V8), V5 == V8 | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #5: input, references = 8, size of lhs = 4:
% 87.11/87.28     P_x1-{F}(V0), P_rd-{F}(V0,V0,V1), P_x0-{F}(V2), P_mult-{F}(V1,V2,V2) | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #6: input, references = 36, size of lhs = 2:
% 87.11/87.28     #-{F} V0, #-{F} V1 | EXISTS V2: P_mult-{T}(V0,V1,V2)
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #7: input, references = 14, size of lhs = 2:
% 87.11/87.28     #-{F} V0, #-{F} V1 | EXISTS V2: P_ld-{T}(V0,V1,V2)
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #8: input, references = 15, size of lhs = 2:
% 87.11/87.28     #-{F} V0, #-{F} V1 | EXISTS V2: P_rd-{T}(V0,V1,V2)
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #9: input, references = 4, size of lhs = 0:
% 87.11/87.28     FALSE | EXISTS V0: P_x1-{T}(V0)
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #10: input, references = 4, size of lhs = 0:
% 87.11/87.28     FALSE | EXISTS V0: P_x0-{T}(V0)
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  number of initial rules = 11
% 87.11/87.28  
% 87.11/87.28  Simplifiers:
% 87.11/87.28  #11: unsound, references = 3, size of lhs = 3:
% 87.11/87.28     P_mult-{F}(V0,V1,V2), P_mult-{F}(V0,V1,V5), V2 == V5 | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #12: unsound, references = 3, size of lhs = 3:
% 87.11/87.28     P_ld-{F}(V0,V1,V2), P_ld-{F}(V0,V1,V5), V2 == V5 | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #13: unsound, references = 3, size of lhs = 3:
% 87.11/87.28     P_rd-{F}(V0,V1,V2), P_rd-{F}(V0,V1,V5), V2 == V5 | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #14: unsound, references = 3, size of lhs = 3:
% 87.11/87.28     P_x1-{F}(V0), P_x1-{F}(V1), V0 == V1 | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #15: unsound, references = 3, size of lhs = 3:
% 87.11/87.28     P_x0-{F}(V0), P_x0-{F}(V1), V0 == V1 | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  number of simplifiers = 5
% 87.11/87.28  
% 87.11/87.28  Learnt:
% 87.11/87.28  #17: exists( #6, #0 ), references = 19, size of lhs = 1:
% 87.11/87.28     P_ld-{F}(V0,V1,V2) | P_mult-{T}(V0,V2,V1)
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #20: exists( #6, #2 ), references = 18, size of lhs = 1:
% 87.11/87.28     P_rd-{F}(V0,V1,V2) | P_mult-{T}(V2,V1,V0)
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #21: exists( #6, #4 ), references = 17, size of lhs = 5:
% 87.11/87.28     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)
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #23: exists( #7, #1 ), references = 15, size of lhs = 1:
% 87.11/87.28     P_mult-{F}(V0,V1,V2) | P_ld-{T}(V0,V2,V1)
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #26: exists( #8, #3 ), references = 32, size of lhs = 1:
% 87.11/87.28     P_mult-{F}(V0,V1,V2) | P_rd-{T}(V2,V1,V0)
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #31: exists( #8, #28 ), references = 1, size of lhs = 2:
% 87.11/87.28     P_x1-{F}(V0), P_x0-{F}(V0) | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #43: exists( #6, #41 ), references = 22, size of lhs = 5:
% 87.11/87.28     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)
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #51: exists( #6, #49 ), references = 9, size of lhs = 9:
% 87.11/87.28     P_mult-{F}(V0,V1,V2), P_mult-{F}(V3,V2,V4), P_mult-{F}(V1,V4,V5), P_rd-{F}(V5,V1,V6), P_mult-{F}(V0,V7,V8), P_mult-{F}(V7,V6,V9), P_mult-{F}(V0,V9,V10), P_rd-{F}(V10,V0,V11), P_ld-{F}(V8,V11,V12) | P_mult-{T}(V1,V3,V12)
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #86: exists( #6, #4 ), references = 21, size of lhs = 5:
% 87.11/87.28     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)
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #93: exists( #6, #91 ), references = 1, size of lhs = 10:
% 87.11/87.28     P_mult-{F}(V0,V1,V1), P_mult-{F}(V2,V1,V3), P_mult-{F}(V4,V3,V5), P_mult-{F}(V1,V5,V6), P_rd-{F}(V6,V1,V7), P_mult-{F}(V2,V8,V7), P_mult-{F}(V9,V7,V8), P_mult-{F}(V2,V9,V10), V10 == V4, P_mult-{F}(V4,V10,V0) | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #96: exists( #6, #94 ), references = 1, size of lhs = 8:
% 87.11/87.28     P_mult-{F}(V0,V1,V1), P_mult-{F}(V2,V1,V3), P_mult-{F}(V4,V3,V1), P_mult-{F}(V2,V5,V1), P_mult-{F}(V6,V1,V5), P_mult-{F}(V2,V6,V7), V7 == V4, P_mult-{F}(V4,V7,V0) | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #190: exists( #6, #188 ), references = 7, size of lhs = 13:
% 87.11/87.28     P_mult-{F}(V0,V1,V2), P_mult-{F}(V3,V2,V4), P_mult-{F}(V1,V4,V5), P_rd-{F}(V5,V1,V6), P_rd-{F}(V7,V1,V6), P_mult-{F}(V1,V8,V7), P_mult-{F}(V3,V9,V8), P_mult-{F}(V1,V10,V11), P_ld-{F}(V10,V0,V12), P_rd-{F}(V13,V10,V9), P_mult-{F}(V10,V14,V13), P_mult-{F}(V15,V11,V14), V12 == V15 | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #196: exists( #6, #194 ), references = 2, size of lhs = 21:
% 87.11/87.28     P_mult-{F}(V0,V1,V2), P_mult-{F}(V0,V3,V4), P_mult-{F}(V4,V2,V5), P_mult-{F}(V6,V4,V7), P_mult-{F}(V7,V0,V8), P_mult-{F}(V1,V8,V9), P_mult-{F}(V0,V9,V10), P_mult-{F}(V3,V10,V11), P_mult-{F}(V5,V6,V12), P_mult-{F}(V12,V4,V13), P_mult-{F}(V13,V0,V14), P_mult-{F}(V11,V15,V14), P_mult-{F}(V16,V14,V15), P_mult-{F}(V11,V17,V14), P_mult-{F}(V16,V18,V17), P_mult-{F}(V11,V19,V20), P_ld-{F}(V19,V0,V21), P_rd-{F}(V22,V19,V18), P_mult-{F}(V19,V23,V22), P_mult-{F}(V24,V20,V23), V21 == V24 | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #201: exists( #6, #199 ), references = 1, size of lhs = 27:
% 87.11/87.28     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}(V7,V2,V8), P_mult-{F}(V4,V3,V9), P_mult-{F}(V8,V10,V11), P_mult-{F}(V8,V12,V13), P_mult-{F}(V13,V11,V14), P_mult-{F}(V15,V13,V16), P_mult-{F}(V16,V8,V17), P_mult-{F}(V10,V17,V18), P_mult-{F}(V8,V18,V19), P_mult-{F}(V12,V19,V20), P_mult-{F}(V14,V15,V21), P_mult-{F}(V21,V13,V22), P_mult-{F}(V22,V8,V23), P_mult-{F}(V20,V2,V24), P_mult-{F}(V20,V25,V23), P_mult-{F}(V26,V23,V25), P_mult-{F}(V20,V27,V23), P_mult-{F}(V26,V28,V27), P_rd-{F}(V29,V2,V28), P_mult-{F}(V2,V30,V29), P_mult-{F}(V31,V24,V30), V9 == V31 | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #206: exists( #8, #204 ), references = 1, size of lhs = 23:
% 87.11/87.28     P_mult-{F}(V0,V0,V1), P_mult-{F}(V2,V0,V3), P_mult-{F}(V4,V0,V5), P_mult-{F}(V1,V4,V6), P_mult-{F}(V6,V0,V5), P_mult-{F}(V7,V2,V5), P_mult-{F}(V7,V0,V5), P_mult-{F}(V7,V3,V8), P_rd-{F}(V8,V7,V9), P_mult-{F}(V7,V9,V7), P_mult-{F}(V9,V9,V10), P_rd-{F}(V10,V9,V9), P_mult-{F}(V9,V7,V11), P_mult-{F}(V7,V12,V5), P_mult-{F}(V12,V11,V13), P_mult-{F}(V7,V13,V0), P_mult-{F}(V14,V15,V9), P_mult-{F}(V14,V9,V16), P_mult-{F}(V14,V17,V5), P_mult-{F}(V15,V18,V17), P_mult-{F}(V19,V14,V18), P_mult-{F}(V19,V16,V20), V20 == V5 | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #241: exists( #6, #239 ), references = 1, size of lhs = 11:
% 87.11/87.28     P_mult-{F}(V0,V0,V1), P_mult-{F}(V2,V0,V3), P_ld-{F}(V0,V2,V4), P_mult-{F}(V5,V3,V6), P_mult-{F}(V5,V6,V6), P_mult-{F}(V7,V1,V6), V4 == V7, P_mult-{F}(V6,V8,V9), P_mult-{F}(V9,V10,V0), P_mult-{F}(V10,V6,V11), P_mult-{F}(V8,V11,V0) | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #243: exists( #7, #240 ), references = 1, size of lhs = 9:
% 87.11/87.28     P_mult-{F}(V0,V0,V1), P_mult-{F}(V2,V0,V3), P_mult-{F}(V4,V3,V5), P_mult-{F}(V4,V5,V5), P_mult-{F}(V6,V1,V5), P_mult-{F}(V5,V7,V8), P_mult-{F}(V8,V9,V0), P_mult-{F}(V9,V5,V10), P_mult-{F}(V7,V10,V0) | P_ld-{T}(V0,V2,V6)
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #261: exists( #6, #259 ), references = 13, size of lhs = 5:
% 87.11/87.28     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)
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #330: exists( #7, #190 ), references = 2, size of lhs = 11:
% 87.11/87.28     P_mult-{F}(V0,V1,V2), P_mult-{F}(V3,V2,V4), P_mult-{F}(V1,V4,V5), P_rd-{F}(V5,V1,V6), P_rd-{F}(V7,V1,V6), P_mult-{F}(V1,V8,V7), P_mult-{F}(V3,V9,V8), P_mult-{F}(V1,V10,V11), P_rd-{F}(V12,V10,V9), P_mult-{F}(V10,V13,V12), P_mult-{F}(V14,V11,V13) | P_ld-{T}(V10,V0,V14)
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #349: exists( #8, #343 ), references = 1, size of lhs = 19:
% 87.11/87.28     P_mult-{F}(V0,V1,V2), P_mult-{F}(V1,V3,V4), P_mult-{F}(V4,V5,V6), P_mult-{F}(V6,V1,V7), P_mult-{F}(V7,V0,V8), P_mult-{F}(V5,V1,V9), P_mult-{F}(V10,V8,V11), P_mult-{F}(V0,V11,V12), P_rd-{F}(V12,V0,V13), P_rd-{F}(V14,V0,V13), P_mult-{F}(V0,V15,V14), P_mult-{F}(V10,V16,V15), P_rd-{F}(V17,V1,V16), P_mult-{F}(V1,V18,V17), P_rd-{F}(V19,V3,V18), P_mult-{F}(V3,V20,V19), P_mult-{F}(V9,V21,V20), P_mult-{F}(V22,V3,V21), V2 == V22 | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #350: exists( #8, #344 ), references = 2, size of lhs = 29:
% 87.11/87.28     P_mult-{F}(V0,V1,V2), P_mult-{F}(V1,V3,V4), P_rd-{F}(V4,V1,V5), P_mult-{F}(V6,V5,V7), P_mult-{F}(V0,V7,V8), P_rd-{F}(V8,V0,V9), P_rd-{F}(V10,V0,V9), P_mult-{F}(V0,V11,V10), P_mult-{F}(V6,V12,V11), P_mult-{F}(V13,V0,V12), P_mult-{F}(V14,V1,V13), P_mult-{F}(V1,V15,V16), P_mult-{F}(V16,V17,V14), P_mult-{F}(V17,V1,V18), P_mult-{F}(V19,V3,V20), P_rd-{F}(V20,V19,V21), P_rd-{F}(V22,V19,V21), P_mult-{F}(V19,V23,V22), P_rd-{F}(V24,V15,V23), P_mult-{F}(V15,V25,V24), P_mult-{F}(V18,V26,V25), P_mult-{F}(V27,V15,V26), P_mult-{F}(V28,V19,V27), P_mult-{F}(V19,V29,V30), P_ld-{F}(V29,V28,V31), P_rd-{F}(V32,V29,V2), P_mult-{F}(V29,V33,V32), P_mult-{F}(V34,V30,V33), V31 == V34 | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #402: exists( #8, #400 ), references = 1, size of lhs = 17:
% 87.11/87.28     P_mult-{F}(V0,V1,V2), P_mult-{F}(V1,V3,V4), P_rd-{F}(V4,V1,V5), P_mult-{F}(V0,V6,V7), P_mult-{F}(V6,V5,V8), P_mult-{F}(V0,V8,V9), P_rd-{F}(V9,V0,V10), P_ld-{F}(V7,V10,V11), P_mult-{F}(V11,V12,V13), P_mult-{F}(V13,V1,V14), P_mult-{F}(V12,V1,V15), P_ld-{F}(V1,V14,V16), P_mult-{F}(V15,V17,V18), P_mult-{F}(V17,V16,V19), P_mult-{F}(V15,V19,V20), P_rd-{F}(V20,V15,V21), P_ld-{F}(V18,V21,V22) | P_rd-{T}(V3,V2,V22)
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #424: exists( #7, #418 ), references = 2, size of lhs = 29:
% 87.11/87.28     P_mult-{F}(V0,V1,V2), P_mult-{F}(V0,V3,V4), P_mult-{F}(V5,V1,V6), P_mult-{F}(V6,V7,V8), P_mult-{F}(V9,V8,V10), P_mult-{F}(V11,V8,V12), P_mult-{F}(V8,V12,V13), P_rd-{F}(V13,V8,V14), P_rd-{F}(V15,V8,V14), P_mult-{F}(V8,V16,V15), P_mult-{F}(V11,V17,V16), P_mult-{F}(V18,V8,V17), P_ld-{F}(V8,V19,V18), P_mult-{F}(V20,V8,V19), P_mult-{F}(V21,V9,V20), P_mult-{F}(V1,V21,V22), P_rd-{F}(V22,V1,V23), P_mult-{F}(V24,V21,V2), V10 == V24, P_mult-{F}(V3,V23,V25), P_mult-{F}(V0,V25,V26), P_rd-{F}(V26,V0,V27), P_ld-{F}(V4,V27,V28), P_mult-{F}(V28,V5,V29), P_mult-{F}(V29,V1,V30), P_ld-{F}(V1,V30,V31), P_mult-{F}(V7,V31,V32), P_mult-{F}(V6,V32,V33), P_rd-{F}(V33,V6,V21) | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #425: exists( #7, #419 ), references = 1, size of lhs = 37:
% 87.11/87.28     P_mult-{F}(V0,V1,V2), P_mult-{F}(V0,V3,V4), P_mult-{F}(V5,V1,V6), P_mult-{F}(V6,V7,V8), P_mult-{F}(V9,V8,V10), P_mult-{F}(V11,V8,V12), P_mult-{F}(V8,V12,V13), P_mult-{F}(V11,V13,V14), P_mult-{F}(V8,V14,V13), P_mult-{F}(V15,V9,V16), P_mult-{F}(V1,V15,V17), P_rd-{F}(V17,V1,V18), P_mult-{F}(V19,V15,V2), V10 == V19, P_mult-{F}(V3,V18,V20), P_mult-{F}(V0,V20,V21), P_rd-{F}(V21,V0,V22), P_ld-{F}(V4,V22,V23), P_mult-{F}(V23,V5,V24), P_mult-{F}(V24,V1,V25), P_ld-{F}(V1,V25,V26), P_mult-{F}(V7,V26,V27), P_mult-{F}(V6,V27,V28), P_rd-{F}(V28,V6,V15), P_mult-{F}(V16,V8,V29), P_ld-{F}(V8,V29,V30), P_mult-{F}(V31,V30,V13), P_mult-{F}(V30,V32,V33), P_mult-{F}(V30,V34,V35), P_mult-{F}(V35,V33,V36), P_mult-{F}(V34,V37,V8), P_mult-{F}(V30,V38,V37), P_mult-{F}(V32,V39,V38), P_mult-{F}(V40,V30,V39), P_mult-{F}(V41,V35,V40), P_mult-{F}(V36,V41,V42), P_mult-{F}(V42,V35,V31) | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #426: exists( #7, #420 ), references = 1, size of lhs = 45:
% 87.11/87.28     P_mult-{F}(V0,V1,V2), P_mult-{F}(V0,V3,V4), P_mult-{F}(V5,V1,V6), P_mult-{F}(V6,V7,V8), P_mult-{F}(V9,V8,V10), P_mult-{F}(V8,V11,V12), P_rd-{F}(V12,V8,V13), P_rd-{F}(V14,V8,V13), P_mult-{F}(V8,V15,V14), P_mult-{F}(V16,V11,V17), P_rd-{F}(V17,V16,V18), P_mult-{F}(V19,V16,V8), P_mult-{F}(V20,V18,V21), P_mult-{F}(V19,V21,V22), P_rd-{F}(V22,V19,V23), P_rd-{F}(V24,V19,V23), P_mult-{F}(V19,V25,V24), P_mult-{F}(V20,V26,V25), P_mult-{F}(V27,V19,V26), P_mult-{F}(V28,V16,V27), P_mult-{F}(V16,V29,V30), P_mult-{F}(V30,V31,V28), P_mult-{F}(V31,V16,V32), P_rd-{F}(V33,V29,V15), P_mult-{F}(V29,V34,V33), P_mult-{F}(V32,V35,V34), P_mult-{F}(V36,V29,V35), P_mult-{F}(V37,V8,V36), P_ld-{F}(V8,V38,V37), P_mult-{F}(V39,V8,V38), P_mult-{F}(V40,V9,V39), P_mult-{F}(V1,V40,V41), P_rd-{F}(V41,V1,V42), P_mult-{F}(V43,V40,V2), V10 == V43, P_mult-{F}(V3,V42,V44), P_mult-{F}(V0,V44,V45), P_rd-{F}(V45,V0,V46), P_ld-{F}(V4,V46,V47), P_mult-{F}(V47,V5,V48), P_mult-{F}(V48,V1,V49), P_ld-{F}(V1,V49,V50), P_mult-{F}(V7,V50,V51), P_mult-{F}(V6,V51,V52), P_rd-{F}(V52,V6,V40) | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #430: exists( #6, #421 ), references = 1, size of lhs = 27:
% 87.11/87.28     P_mult-{F}(V0,V1,V2), P_mult-{F}(V0,V3,V4), P_mult-{F}(V5,V1,V6), P_mult-{F}(V6,V7,V8), P_mult-{F}(V9,V8,V10), P_mult-{F}(V8,V10,V11), P_rd-{F}(V11,V8,V12), P_rd-{F}(V13,V8,V12), P_mult-{F}(V8,V14,V13), P_mult-{F}(V9,V15,V14), P_mult-{F}(V16,V8,V15), P_ld-{F}(V8,V17,V16), P_mult-{F}(V18,V8,V17), P_mult-{F}(V19,V20,V18), P_mult-{F}(V1,V19,V21), P_rd-{F}(V21,V1,V22), P_mult-{F}(V23,V19,V2), P_mult-{F}(V3,V22,V24), P_mult-{F}(V0,V24,V25), P_rd-{F}(V25,V0,V26), P_ld-{F}(V4,V26,V27), P_mult-{F}(V27,V5,V28), P_mult-{F}(V28,V1,V29), P_ld-{F}(V1,V29,V30), P_mult-{F}(V7,V30,V31), P_mult-{F}(V6,V31,V32), P_rd-{F}(V32,V6,V19) | P_mult-{T}(V20,V8,V23)
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #431: exists( #6, #422 ), references = 1, size of lhs = 35:
% 87.11/87.28     P_mult-{F}(V0,V1,V2), P_mult-{F}(V0,V3,V4), P_mult-{F}(V5,V1,V6), P_mult-{F}(V6,V7,V8), P_mult-{F}(V9,V8,V10), P_mult-{F}(V8,V10,V11), P_mult-{F}(V9,V11,V12), P_mult-{F}(V8,V12,V11), P_mult-{F}(V1,V13,V14), P_rd-{F}(V14,V1,V15), P_mult-{F}(V16,V13,V2), P_mult-{F}(V3,V15,V17), P_mult-{F}(V0,V17,V18), P_rd-{F}(V18,V0,V19), P_ld-{F}(V4,V19,V20), P_mult-{F}(V20,V5,V21), P_mult-{F}(V21,V1,V22), P_ld-{F}(V1,V22,V23), P_mult-{F}(V7,V23,V24), P_mult-{F}(V6,V24,V25), P_rd-{F}(V25,V6,V13), P_mult-{F}(V13,V26,V27), P_mult-{F}(V27,V8,V28), P_ld-{F}(V8,V28,V29), P_mult-{F}(V30,V29,V11), P_mult-{F}(V29,V31,V32), P_mult-{F}(V29,V33,V34), P_mult-{F}(V34,V32,V35), P_mult-{F}(V33,V36,V8), P_mult-{F}(V29,V37,V36), P_mult-{F}(V31,V38,V37), P_mult-{F}(V39,V29,V38), P_mult-{F}(V40,V34,V39), P_mult-{F}(V35,V40,V41), P_mult-{F}(V41,V34,V30) | P_mult-{T}(V26,V8,V16)
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #432: exists( #6, #423 ), references = 1, size of lhs = 43:
% 87.11/87.28     P_mult-{F}(V0,V1,V2), P_mult-{F}(V0,V3,V4), P_mult-{F}(V5,V1,V6), P_mult-{F}(V6,V7,V8), P_mult-{F}(V8,V9,V10), P_rd-{F}(V10,V8,V11), P_rd-{F}(V12,V8,V11), P_mult-{F}(V8,V13,V12), P_mult-{F}(V14,V9,V15), P_rd-{F}(V15,V14,V16), P_mult-{F}(V17,V14,V8), P_mult-{F}(V18,V16,V19), P_mult-{F}(V17,V19,V20), P_rd-{F}(V20,V17,V21), P_rd-{F}(V22,V17,V21), P_mult-{F}(V17,V23,V22), P_mult-{F}(V18,V24,V23), P_mult-{F}(V25,V17,V24), P_mult-{F}(V26,V14,V25), P_mult-{F}(V14,V27,V28), P_mult-{F}(V28,V29,V26), P_mult-{F}(V29,V14,V30), P_rd-{F}(V31,V27,V13), P_mult-{F}(V27,V32,V31), P_mult-{F}(V30,V33,V32), P_mult-{F}(V34,V27,V33), P_mult-{F}(V35,V8,V34), P_ld-{F}(V8,V36,V35), P_mult-{F}(V37,V8,V36), P_mult-{F}(V38,V39,V37), P_mult-{F}(V1,V38,V40), P_rd-{F}(V40,V1,V41), P_mult-{F}(V42,V38,V2), P_mult-{F}(V3,V41,V43), P_mult-{F}(V0,V43,V44), P_rd-{F}(V44,V0,V45), P_ld-{F}(V4,V45,V46), P_mult-{F}(V46,V5,V47), P_mult-{F}(V47,V1,V48), P_ld-{F}(V1,V48,V49), P_mult-{F}(V7,V49,V50), P_mult-{F}(V6,V50,V51), P_rd-{F}(V51,V6,V38) | P_mult-{T}(V39,V8,V42)
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #492: exists( #6, #490 ), references = 1, size of lhs = 19:
% 87.11/87.28     P_mult-{F}(V0,V1,V2), P_mult-{F}(V0,V2,V3), P_mult-{F}(V0,V4,V5), P_mult-{F}(V5,V2,V6), P_mult-{F}(V7,V3,V8), P_mult-{F}(V2,V8,V9), P_rd-{F}(V9,V2,V10), P_mult-{F}(V11,V10,V12), P_mult-{F}(V4,V13,V12), P_mult-{F}(V11,V13,V12), P_mult-{F}(V0,V14,V13), P_mult-{F}(V1,V15,V14), P_mult-{F}(V16,V0,V15), V16 == V7, P_mult-{F}(V17,V5,V16), P_mult-{F}(V6,V17,V18), P_mult-{F}(V18,V5,V19), P_mult-{F}(V19,V0,V20), P_rd-{F}(V20,V0,V21) | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #551: exists( #6, #549 ), references = 1, size of lhs = 13:
% 87.11/87.28     P_mult-{F}(V0,V1,V2), P_mult-{F}(V0,V3,V4), P_mult-{F}(V4,V2,V5), P_mult-{F}(V6,V4,V7), P_mult-{F}(V7,V0,V8), P_mult-{F}(V1,V8,V9), P_mult-{F}(V0,V9,V10), P_mult-{F}(V3,V10,V11), P_mult-{F}(V5,V6,V12), P_mult-{F}(V12,V4,V13), P_mult-{F}(V13,V0,V14), P_rd-{F}(V14,V11,V15), V15 == V0 | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #555: exists( #6, #553 ), references = 1, size of lhs = 15:
% 87.11/87.28     P_mult-{F}(V0,V1,V2), P_mult-{F}(V0,V3,V4), P_mult-{F}(V2,V4,V5), P_mult-{F}(V5,V6,V7), P_mult-{F}(V7,V2,V8), P_mult-{F}(V8,V0,V9), P_mult-{F}(V6,V2,V10), P_mult-{F}(V10,V0,V11), P_mult-{F}(V3,V11,V12), P_mult-{F}(V0,V12,V13), P_mult-{F}(V1,V13,V14), P_mult-{F}(V14,V15,V16), P_rd-{F}(V17,V15,V9), P_mult-{F}(V15,V18,V17), P_mult-{F}(V19,V16,V18) | P_mult-{T}(V15,V19,V0)
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #666: exists( #6, #660 ), references = 2, size of lhs = 9:
% 87.11/87.28     P_mult-{F}(V0,V1,V2), P_mult-{F}(V0,V3,V4), P_mult-{F}(V5,V4,V3), P_mult-{F}(V1,V3,V6), P_mult-{F}(V0,V6,V7), P_rd-{F}(V7,V0,V8), P_ld-{F}(V2,V8,V9), P_rd-{F}(V9,V5,V10), V10 == V3 | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #667: exists( #6, #661 ), references = 2, size of lhs = 19:
% 87.11/87.28     P_mult-{F}(V0,V1,V2), P_mult-{F}(V0,V3,V4), P_mult-{F}(V5,V4,V3), P_mult-{F}(V1,V3,V6), P_mult-{F}(V0,V6,V7), P_rd-{F}(V7,V0,V8), P_ld-{F}(V2,V8,V9), P_mult-{F}(V10,V9,V11), P_mult-{F}(V5,V11,V12), P_rd-{F}(V12,V5,V13), P_rd-{F}(V14,V5,V13), P_mult-{F}(V5,V15,V14), P_mult-{F}(V10,V16,V15), P_mult-{F}(V5,V17,V18), P_ld-{F}(V17,V3,V19), P_rd-{F}(V20,V17,V16), P_mult-{F}(V17,V21,V20), P_mult-{F}(V22,V18,V21), V19 == V22 | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #668: exists( #6, #662 ), references = 1, size of lhs = 35:
% 87.11/87.28     P_mult-{F}(V0,V1,V2), P_mult-{F}(V0,V3,V4), P_rd-{F}(V4,V0,V5), P_ld-{F}(V2,V5,V6), P_mult-{F}(V1,V7,V3), P_mult-{F}(V0,V7,V8), P_mult-{F}(V9,V8,V7), P_mult-{F}(V10,V6,V11), P_mult-{F}(V12,V6,V13), P_mult-{F}(V6,V13,V14), P_rd-{F}(V14,V6,V15), P_rd-{F}(V16,V6,V15), P_mult-{F}(V6,V17,V16), P_mult-{F}(V12,V18,V17), P_mult-{F}(V19,V6,V18), P_ld-{F}(V6,V20,V19), P_mult-{F}(V21,V6,V20), P_mult-{F}(V22,V10,V21), P_rd-{F}(V23,V7,V22), P_mult-{F}(V7,V24,V23), P_mult-{F}(V9,V25,V24), P_mult-{F}(V26,V22,V27), P_rd-{F}(V27,V26,V28), P_mult-{F}(V29,V26,V7), P_ld-{F}(V26,V30,V25), P_mult-{F}(V31,V26,V30), P_mult-{F}(V32,V29,V31), P_mult-{F}(V33,V26,V34), P_mult-{F}(V35,V22,V34), V11 == V35, P_mult-{F}(V33,V36,V37), P_mult-{F}(V36,V28,V38), P_mult-{F}(V33,V38,V39), P_rd-{F}(V39,V33,V40), P_ld-{F}(V37,V40,V32) | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #679: mergings( V3 == V6; #677 ), references = 1, size of lhs = 8:
% 87.11/87.28     P_mult-{F}(V0,V0,V1), P_mult-{F}(V1,V2,V3), P_mult-{F}(V3,V0,V4), P_mult-{F}(V2,V0,V4), P_rd-{F}(V4,V0,V5), P_ld-{F}(V1,V5,V6), P_rd-{F}(V6,V0,V7), V7 == V4 | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #682: mergings( V3 == V4; #680 ), references = 1, size of lhs = 6:
% 87.11/87.28     P_mult-{F}(V0,V0,V1), P_mult-{F}(V1,V2,V3), P_mult-{F}(V3,V0,V4), P_mult-{F}(V2,V0,V4), P_rd-{F}(V4,V0,V5), P_ld-{F}(V1,V5,V6) | P_rd-{T}(V6,V0,V4)
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #730: exists( #6, #728 ), references = 7, size of lhs = 5:
% 87.11/87.28     P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V3,V4), P_mult-{F}(V4,V0,V5), P_ld-{F}(V0,V5,V6), P_ld-{F}(V1,V6,V7) | P_mult-{T}(V3,V0,V7)
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #737: exists( #6, #735 ), references = 1, size of lhs = 17:
% 87.11/87.28     P_x1-{F}(V0), P_x0-{F}(V1), P_mult-{F}(V2,V1,V1), P_mult-{F}(V0,V3,V2), P_mult-{F}(V3,V0,V4), P_mult-{F}(V5,V4,V5), P_mult-{F}(V6,V7,V5), P_mult-{F}(V8,V6,V9), P_mult-{F}(V9,V6,V10), P_mult-{F}(V10,V7,V11), P_mult-{F}(V11,V9,V12), P_ld-{F}(V9,V12,V13), P_rd-{F}(V13,V6,V14), P_mult-{F}(V14,V0,V15), P_mult-{F}(V15,V5,V16), P_ld-{F}(V5,V16,V17), P_ld-{F}(V8,V17,V0) | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #835: exists( #6, #833 ), references = 1, size of lhs = 17:
% 87.11/87.28     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}(V7,V2,V8), P_mult-{F}(V4,V3,V9), P_mult-{F}(V10,V2,V8), P_mult-{F}(V2,V11,V12), P_mult-{F}(V12,V13,V10), P_mult-{F}(V13,V2,V14), P_rd-{F}(V9,V11,V15), P_mult-{F}(V11,V16,V17), P_mult-{F}(V16,V18,V14), P_mult-{F}(V19,V11,V18), P_rd-{F}(V15,V19,V20), V20 == V17 | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #837: exists( #6, #834 ), references = 3, size of lhs = 15:
% 87.11/87.28     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}(V7,V2,V8), P_mult-{F}(V4,V3,V9), P_mult-{F}(V10,V2,V8), P_mult-{F}(V2,V11,V12), P_mult-{F}(V12,V13,V10), P_rd-{F}(V9,V11,V14), P_mult-{F}(V11,V13,V15), P_mult-{F}(V16,V11,V2), P_rd-{F}(V14,V16,V17), V17 == V15 | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #840: exists( #8, #838 ), references = 1, size of lhs = 15:
% 87.11/87.28     P_mult-{F}(V0,V1,V2), P_mult-{F}(V0,V3,V4), P_mult-{F}(V4,V0,V5), P_mult-{F}(V1,V5,V6), P_mult-{F}(V0,V6,V7), P_mult-{F}(V4,V3,V8), P_mult-{F}(V8,V9,V2), P_mult-{F}(V3,V9,V10), P_rd-{F}(V11,V3,V7), P_mult-{F}(V12,V13,V4), P_mult-{F}(V12,V4,V14), P_mult-{F}(V15,V14,V11), P_mult-{F}(V15,V12,V16), P_mult-{F}(V13,V16,V17), P_mult-{F}(V12,V17,V2) | P_rd-{T}(V7,V0,V10)
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #874: exists( #6, #870 ), references = 2, size of lhs = 9:
% 87.11/87.28     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}(V6,V0,V7), P_mult-{F}(V7,V1,V8), P_mult-{F}(V8,V6,V9), P_mult-{F}(V6,V5,V10), V9 == V10 | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #875: exists( #6, #871 ), references = 2, size of lhs = 13:
% 87.11/87.28     P_rd-{F}(V0,V1,V2), P_mult-{F}(V0,V3,V4), P_mult-{F}(V3,V5,V6), P_mult-{F}(V3,V6,V7), P_mult-{F}(V1,V7,V6), P_mult-{F}(V6,V7,V8), P_mult-{F}(V5,V4,V9), P_mult-{F}(V3,V9,V10), P_mult-{F}(V10,V6,V11), P_mult-{F}(V12,V6,V11), P_mult-{F}(V8,V13,V12), P_mult-{F}(V7,V13,V14), V2 == V14 | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #997: exists( #6, #991 ), references = 2, size of lhs = 9:
% 87.11/87.28     P_mult-{F}(V0,V1,V2), P_mult-{F}(V0,V2,V3), P_mult-{F}(V4,V3,V5), P_mult-{F}(V2,V5,V6), P_rd-{F}(V6,V2,V7), P_ld-{F}(V0,V7,V8), P_mult-{F}(V4,V0,V9), P_ld-{F}(V1,V8,V10), V10 == V9 | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #998: exists( #6, #992 ), references = 1, size of lhs = 19:
% 87.11/87.28     P_mult-{F}(V0,V1,V2), P_mult-{F}(V1,V3,V4), P_mult-{F}(V0,V4,V5), P_mult-{F}(V3,V5,V6), P_rd-{F}(V6,V3,V7), P_ld-{F}(V1,V7,V8), P_mult-{F}(V1,V9,V3), P_mult-{F}(V10,V2,V11), P_mult-{F}(V12,V10,V9), P_mult-{F}(V13,V12,V10), P_mult-{F}(V13,V14,V12), P_mult-{F}(V15,V10,V12), P_mult-{F}(V8,V12,V16), P_mult-{F}(V17,V12,V16), P_mult-{F}(V13,V18,V17), P_mult-{F}(V14,V19,V18), P_mult-{F}(V20,V13,V19), P_rd-{F}(V20,V15,V21), V21 == V11 | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #999: exists( #6, #993 ), references = 1, size of lhs = 21:
% 87.11/87.28     P_mult-{F}(V0,V1,V2), P_mult-{F}(V3,V2,V4), P_mult-{F}(V5,V3,V6), P_mult-{F}(V6,V3,V7), P_mult-{F}(V1,V7,V8), P_mult-{F}(V1,V8,V9), P_mult-{F}(V0,V9,V10), P_mult-{F}(V8,V10,V11), P_rd-{F}(V11,V8,V12), P_ld-{F}(V1,V12,V13), P_mult-{F}(V13,V6,V14), P_mult-{F}(V15,V6,V14), P_mult-{F}(V16,V17,V6), P_mult-{F}(V16,V6,V18), P_mult-{F}(V16,V19,V15), P_mult-{F}(V17,V20,V19), P_mult-{F}(V21,V16,V20), P_mult-{F}(V21,V18,V22), P_rd-{F}(V22,V3,V23), P_rd-{F}(V23,V5,V24), V24 == V4 | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #1013: exists( #6, #1006 ), references = 2, size of lhs = 15:
% 87.11/87.28     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}(V6,V0,V7), P_mult-{F}(V7,V1,V8), P_mult-{F}(V6,V5,V9), P_mult-{F}(V6,V10,V9), P_mult-{F}(V11,V12,V6), P_mult-{F}(V11,V6,V13), P_ld-{F}(V11,V8,V14), P_ld-{F}(V12,V14,V15), P_mult-{F}(V16,V13,V10), P_mult-{F}(V16,V11,V17), V15 == V17 | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #1014: exists( #6, #1007 ), references = 1, size of lhs = 25:
% 87.11/87.28     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}(V6,V0,V7), P_mult-{F}(V7,V1,V8), P_mult-{F}(V6,V5,V9), P_mult-{F}(V6,V10,V9), P_ld-{F}(V11,V8,V12), P_mult-{F}(V11,V6,V13), P_mult-{F}(V14,V13,V10), P_mult-{F}(V14,V11,V15), P_mult-{F}(V11,V16,V6), P_mult-{F}(V17,V15,V18), P_mult-{F}(V19,V17,V16), P_mult-{F}(V20,V19,V17), P_mult-{F}(V20,V21,V19), P_mult-{F}(V22,V17,V19), P_mult-{F}(V12,V19,V23), P_mult-{F}(V24,V19,V23), P_mult-{F}(V20,V25,V24), P_mult-{F}(V21,V26,V25), P_mult-{F}(V27,V20,V26), P_rd-{F}(V27,V22,V28), V28 == V18 | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #1015: exists( #6, #1009 ), references = 1, size of lhs = 25:
% 87.11/87.28     P_rd-{F}(V0,V1,V2), P_mult-{F}(V3,V0,V4), P_mult-{F}(V4,V5,V6), P_mult-{F}(V6,V3,V7), P_mult-{F}(V5,V3,V8), P_mult-{F}(V1,V8,V9), P_mult-{F}(V9,V8,V10), P_mult-{F}(V11,V10,V8), P_mult-{F}(V11,V8,V12), P_mult-{F}(V8,V3,V13), P_mult-{F}(V8,V7,V14), P_mult-{F}(V13,V0,V15), P_ld-{F}(V11,V15,V16), P_mult-{F}(V16,V9,V17), P_mult-{F}(V18,V9,V8), P_mult-{F}(V18,V19,V9), P_mult-{F}(V0,V18,V20), P_mult-{F}(V19,V20,V21), P_mult-{F}(V18,V21,V22), P_mult-{F}(V22,V9,V17), P_mult-{F}(V8,V23,V14), P_mult-{F}(V24,V12,V23), P_mult-{F}(V24,V11,V25), P_mult-{F}(V8,V25,V26), V2 == V26 | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #1045: exists( #6, #1038 ), references = 5, size of lhs = 9:
% 87.11/87.28     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}(V6,V0,V7), P_mult-{F}(V7,V1,V8), P_mult-{F}(V8,V6,V9), P_ld-{F}(V6,V9,V10), V10 == V5 | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #1053: exists( #6, #1013 ), references = 3, size of lhs = 13:
% 87.11/87.28     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}(V6,V0,V7), P_mult-{F}(V7,V1,V8), P_mult-{F}(V9,V10,V6), P_mult-{F}(V9,V6,V11), P_ld-{F}(V9,V8,V12), P_ld-{F}(V10,V12,V13), P_mult-{F}(V14,V11,V5), P_mult-{F}(V14,V9,V15), V13 == V15 | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #1095: mergings( V0 == V4; #1091 ), references = 1, size of lhs = 13:
% 87.11/87.28     P_mult-{F}(V0,V1,V0), P_mult-{F}(V2,V0,V3), P_mult-{F}(V3,V4,V0), P_mult-{F}(V5,V2,V6), P_mult-{F}(V1,V7,V6), P_mult-{F}(V0,V7,V6), P_mult-{F}(V5,V3,V8), P_ld-{F}(V3,V8,V9), P_ld-{F}(V4,V9,V10), P_mult-{F}(V0,V10,V11), P_mult-{F}(V11,V1,V12), P_ld-{F}(V0,V11,V13), V13 == V12 | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #1096: exists( #7, #1089 ), references = 1, size of lhs = 19:
% 87.11/87.28     P_mult-{F}(V0,V1,V2), P_mult-{F}(V3,V4,V2), P_mult-{F}(V1,V5,V6), P_mult-{F}(V6,V7,V5), P_mult-{F}(V0,V6,V8), P_ld-{F}(V6,V8,V9), P_ld-{F}(V7,V9,V10), P_mult-{F}(V5,V10,V11), P_mult-{F}(V11,V3,V12), P_mult-{F}(V5,V3,V13), P_mult-{F}(V13,V3,V14), P_mult-{F}(V14,V4,V15), P_mult-{F}(V16,V17,V13), P_mult-{F}(V16,V13,V18), P_ld-{F}(V16,V15,V19), P_ld-{F}(V17,V19,V20), P_mult-{F}(V21,V18,V12), P_mult-{F}(V21,V16,V22), V20 == V22 | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #1097: exists( #7, #1090 ), references = 1, size of lhs = 9:
% 87.11/87.28     P_mult-{F}(V0,V1,V2), P_mult-{F}(V1,V3,V4), P_mult-{F}(V4,V5,V3), P_mult-{F}(V0,V4,V6), P_ld-{F}(V4,V6,V7), P_ld-{F}(V5,V7,V8), P_mult-{F}(V3,V8,V9), P_rd-{F}(V9,V3,V10), V10 == V2 | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #1162: exists( #7, #1045 ), references = 2, size of lhs = 7:
% 87.11/87.28     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}(V6,V0,V7), P_mult-{F}(V7,V1,V8), P_mult-{F}(V8,V6,V9) | P_ld-{T}(V6,V9,V5)
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #1188: exists( #6, #1186 ), references = 1, size of lhs = 17:
% 87.11/87.28     P_mult-{F}(V0,V1,V2), P_mult-{F}(V3,V2,V4), P_mult-{F}(V1,V4,V5), P_rd-{F}(V5,V1,V6), P_rd-{F}(V7,V1,V6), P_mult-{F}(V1,V8,V7), P_mult-{F}(V3,V9,V8), P_mult-{F}(V1,V10,V11), P_mult-{F}(V12,V11,V10), P_mult-{F}(V10,V11,V13), P_rd-{F}(V14,V10,V9), P_mult-{F}(V15,V10,V14), P_mult-{F}(V13,V16,V15), P_mult-{F}(V11,V16,V17), P_mult-{F}(V17,V12,V18), P_mult-{F}(V10,V18,V19), V19 == V0 | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #1190: exists( #6, #1187 ), references = 1, size of lhs = 15:
% 87.11/87.28     P_mult-{F}(V0,V1,V2), P_mult-{F}(V3,V2,V4), P_mult-{F}(V1,V4,V5), P_rd-{F}(V5,V1,V6), P_rd-{F}(V7,V1,V6), P_mult-{F}(V1,V8,V7), P_mult-{F}(V3,V9,V8), P_mult-{F}(V1,V10,V11), P_mult-{F}(V12,V11,V10), P_mult-{F}(V10,V11,V13), P_rd-{F}(V14,V10,V9), P_mult-{F}(V15,V10,V14), P_mult-{F}(V13,V16,V15), P_mult-{F}(V11,V16,V17), P_mult-{F}(V17,V12,V18) | P_mult-{T}(V10,V18,V0)
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #1198: mergings( V17 == V19; #1195 ), references = 1, size of lhs = 17:
% 87.11/87.28     P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V0,V0), P_mult-{F}(V2,V0,V3), P_mult-{F}(V4,V3,V0), P_mult-{F}(V0,V3,V5), P_mult-{F}(V6,V2,V7), P_mult-{F}(V6,V1,V8), P_mult-{F}(V8,V0,V9), P_mult-{F}(V6,V0,V10), V10 == V6, P_mult-{F}(V11,V4,V9), P_mult-{F}(V3,V12,V11), P_mult-{F}(V5,V12,V13), P_mult-{F}(V13,V0,V14), P_rd-{F}(V14,V0,V7), P_mult-{F}(V2,V15,V16), P_rd-{F}(V16,V2,V17) | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #1200: mergings( V20 == V22; #1196 ), references = 1, size of lhs = 18:
% 87.11/87.28     P_mult-{F}(V0,V1,V1), P_mult-{F}(V2,V1,V0), P_mult-{F}(V3,V1,V4), P_mult-{F}(V5,V4,V1), P_mult-{F}(V1,V4,V6), P_mult-{F}(V7,V3,V8), P_mult-{F}(V7,V2,V9), P_mult-{F}(V9,V1,V10), P_mult-{F}(V7,V0,V11), P_ld-{F}(V0,V11,V12), V12 == V10, P_rd-{F}(V13,V1,V8), P_mult-{F}(V14,V1,V13), P_mult-{F}(V6,V15,V14), P_mult-{F}(V4,V15,V16), P_mult-{F}(V16,V5,V17), P_mult-{F}(V3,V18,V19), P_rd-{F}(V19,V3,V20) | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #1209: mergings( V3 == V1, V1 == V4, V4 == V6, V8 == V12; #1204 ), references = 1, size of lhs = 10:
% 87.11/87.28     P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V0,V0), P_mult-{F}(V0,V2,V3), P_mult-{F}(V3,V0,V4), P_rd-{F}(V4,V0,V5), P_mult-{F}(V5,V0,V6), P_ld-{F}(V0,V5,V7), V7 == V6, P_mult-{F}(V3,V1,V8), P_mult-{F}(V0,V9,V5) | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #1214: mergings( V3 == V0, V5 == V6; #1211 ), references = 6, size of lhs = 5:
% 87.11/87.28     P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V0,V0), P_rd-{F}(V2,V0,V3), P_mult-{F}(V3,V0,V2), P_mult-{F}(V3,V1,V4) | P_ld-{T}(V0,V3,V2)
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #1223: exists( #6, #1218 ), references = 2, size of lhs = 4:
% 87.11/87.28     P_mult-{F}(V0,V0,V0), P_mult-{F}(V0,V1,V0), P_mult-{F}(V2,V0,V3), P_mult-{F}(V1,V3,V2) | P_mult-{T}(V0,V2,V2)
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #1224: exists( #6, #1215 ), references = 1, size of lhs = 6:
% 87.11/87.28     P_mult-{F}(V0,V1,V0), P_mult-{F}(V0,V0,V2), P_mult-{F}(V3,V0,V4), P_mult-{F}(V1,V4,V3), P_mult-{F}(V3,V2,V5), P_mult-{F}(V0,V5,V6) | P_mult-{T}(V0,V3,V6)
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #1225: exists( #6, #1219 ), references = 1, size of lhs = 8:
% 87.11/87.28     P_mult-{F}(V0,V1,V0), P_mult-{F}(V0,V0,V2), P_mult-{F}(V0,V2,V0), P_mult-{F}(V2,V0,V0), P_mult-{F}(V0,V3,V2), P_ld-{F}(V3,V4,V5), P_mult-{F}(V4,V0,V6), P_mult-{F}(V1,V6,V4) | P_mult-{T}(V0,V4,V5)
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #1301: exists( #8, #1298 ), references = 1, size of lhs = 11:
% 87.11/87.28     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_mult-{F}(V3,V7,V8), P_mult-{F}(V3,V8,V9), P_mult-{F}(V2,V9,V10), P_mult-{F}(V8,V10,V11), P_rd-{F}(V11,V8,V12), P_ld-{F}(V3,V12,V13), P_ld-{F}(V7,V13,V14) | P_rd-{T}(V6,V0,V14)
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #1340: exists( #6, #1334 ), references = 7, size of lhs = 2:
% 87.11/87.28     P_mult-{F}(V0,V0,V0), #-{F} V1 | P_mult-{T}(V1,V0,V1)
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #1386: exists( #8, #1382 ), references = 1, size of lhs = 9:
% 87.11/87.28     P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V0,V3), P_mult-{F}(V4,V3,V0), P_rd-{F}(V0,V4,V5), V5 == V0, P_mult-{F}(V0,V6,V7), P_mult-{F}(V1,V7,V6), P_mult-{F}(V2,V7,V8), P_rd-{F}(V8,V2,V7) | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #1388: mergings( V15 == V17; #1385 ), references = 1, size of lhs = 15:
% 87.11/87.28     P_mult-{F}(V0,V1,V2), P_mult-{F}(V3,V2,V4), P_mult-{F}(V1,V4,V5), P_rd-{F}(V5,V1,V6), P_ld-{F}(V1,V6,V7), V7 == V3, P_mult-{F}(V0,V8,V6), P_mult-{F}(V9,V6,V8), P_mult-{F}(V6,V10,V9), P_mult-{F}(V6,V11,V12), P_mult-{F}(V10,V12,V11), P_mult-{F}(V9,V12,V13), P_rd-{F}(V13,V9,V12), P_mult-{F}(V0,V12,V14), P_rd-{F}(V14,V0,V15) | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #1397: mergings( V3 == V4, V0 == V5; #1393 ), references = 1, size of lhs = 7:
% 87.11/87.28     P_mult-{F}(V0,V1,V1), P_rd-{F}(V1,V0,V2), V2 == V1, P_mult-{F}(V3,V1,V1), P_mult-{F}(V3,V3,V4), P_ld-{F}(V3,V4,V3), P_rd-{F}(V4,V3,V3) | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #1401: mergings( V3 == V4, V0 == V5, V7 == V9; #1394 ), references = 1, size of lhs = 13:
% 87.11/87.28     P_ld-{F}(V0,V1,V0), P_mult-{F}(V0,V0,V1), P_rd-{F}(V1,V0,V0), P_mult-{F}(V0,V2,V2), P_mult-{F}(V3,V2,V2), P_mult-{F}(V3,V0,V4), P_rd-{F}(V4,V3,V5), P_mult-{F}(V3,V6,V7), P_ld-{F}(V6,V2,V8), P_rd-{F}(V9,V6,V2), P_mult-{F}(V6,V10,V9), P_mult-{F}(V11,V7,V10), V8 == V11 | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #1414: mergings( V3 == V4; #1412 ), references = 1, size of lhs = 14:
% 87.11/87.28     P_mult-{F}(V0,V1,V1), P_mult-{F}(V0,V2,V3), P_mult-{F}(V0,V3,V4), P_mult-{F}(V0,V4,V5), P_mult-{F}(V3,V5,V6), P_rd-{F}(V6,V3,V7), P_ld-{F}(V0,V7,V8), P_ld-{F}(V2,V8,V9), P_mult-{F}(V0,V10,V11), P_ld-{F}(V10,V1,V12), P_rd-{F}(V13,V10,V1), P_mult-{F}(V10,V14,V13), P_mult-{F}(V15,V11,V14), V12 == V15 | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #1420: mergings( V2 == V5, V3 == V4; #1417 ), references = 3, size of lhs = 3:
% 87.11/87.28     P_ld-{F}(V0,V0,V1), P_mult-{F}(V0,V0,V2), P_rd-{F}(V2,V0,V0) | P_rd-{T}(V0,V0,V1)
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #1437: mergings( V3 == V4, V4 == V5, V5 == V6; #1433 ), references = 1, size of lhs = 4:
% 87.11/87.28     P_x1-{F}(V0), P_x0-{F}(V1), P_rd-{F}(V1,V2,V2), P_mult-{F}(V2,V2,V1) | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #1460: mergings( V2 == V4, V4 == V5; #1457 ), references = 1, size of lhs = 4:
% 87.11/87.28     P_x1-{F}(V0), P_x0-{F}(V1), P_rd-{F}(V0,V2,V2), P_mult-{F}(V2,V2,V0) | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #1490: mergings( V4 == V5; #1488 ), references = 1, size of lhs = 4:
% 87.11/87.28     P_x1-{F}(V0), P_x0-{F}(V1), P_mult-{F}(V2,V2,V3), P_rd-{F}(V3,V2,V2) | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #1493: exists( #6, #1491 ), references = 1, size of lhs = 2:
% 87.11/87.28     P_x1-{F}(V0), P_x0-{F}(V1) | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #1495: exists( #10, #1492 ), references = 1, size of lhs = 1:
% 87.11/87.28     P_x1-{F}(V0) | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  #1497: exists( #9, #1494 ), references = 1, size of lhs = 0:
% 87.11/87.28     FALSE | FALSE
% 87.11/87.28        (used 0 times, uses = {})
% 87.11/87.28  
% 87.11/87.28  number of learnt formulas = 78
% 87.11/87.28  
% 87.11/87.28  
% 87.11/87.28  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 87.11/87.28  
% 87.11/87.28  randbase = 1
%------------------------------------------------------------------------------