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

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%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SYN602-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n018.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 06:25:03 EDT 2022

% Result   : Unsatisfiable 0.61s 0.85s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN602-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n018.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 : Sat Jul 23 03:27:11 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.61/0.85  GeoParameters:
% 0.61/0.85  
% 0.61/0.85  tptp_input =     1
% 0.61/0.85  tptp_output =    0
% 0.61/0.85  nonempty =       1
% 0.61/0.85  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.85  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.61/0.85  
% 0.61/0.85  
% 0.61/0.85  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.85  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.85  
% 0.61/0.85  RuleSystem INPUT:
% 0.61/0.85  
% 0.61/0.85  Initial Rules:
% 0.61/0.85  #0: input, references = 3, size of lhs = 1:
% 0.61/0.85     P_c20-{F}(V0) | p14-{T}(V0)
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #1: input, references = 7, size of lhs = 2:
% 0.61/0.85     P_c20-{F}(V0), #-{F} V1 | p2-{T}(V1,V1)
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #2: input, references = 4, size of lhs = 3:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2) | p15-{T}(V1,V2)
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #3: input, references = 4, size of lhs = 6:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), P_c18-{F}(V3), P_f3-{F}(V3,V4), P_c19-{F}(V5) | p2-{T}(V4,V5)
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #4: input, references = 7, size of lhs = 8:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), P_c18-{F}(V3), P_f3-{F}(V3,V4), P_c19-{F}(V5), P_c23-{F}(V6), P_f9-{F}(V0,V6,V7) | p2-{T}(V1,V7)
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #5: input, references = 5, size of lhs = 12:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), P_c18-{F}(V3), P_f3-{F}(V3,V4), P_c19-{F}(V5), P_c23-{F}(V6), P_f9-{F}(V0,V6,V7), P_c16-{F}(V8), P_f4-{F}(V8,V9), P_f3-{F}(V9,V10), P_c17-{F}(V11) | p2-{T}(V10,V11)
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #6: input, references = 3, size of lhs = 14:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), P_c18-{F}(V3), P_f3-{F}(V3,V4), P_c19-{F}(V5), P_c23-{F}(V6), P_f9-{F}(V0,V6,V7), P_c16-{F}(V8), P_f4-{F}(V8,V9), P_f3-{F}(V9,V10), P_c17-{F}(V11), p14-{F}(V12), p2-{F}(V12,V13) | p14-{T}(V13)
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #7: input, references = 3, size of lhs = 15:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), P_c18-{F}(V3), P_f3-{F}(V3,V4), P_c19-{F}(V5), P_c23-{F}(V6), P_f9-{F}(V0,V6,V7), P_c16-{F}(V8), P_f4-{F}(V8,V9), P_f3-{F}(V9,V10), P_c17-{F}(V11), P_f5-{F}(V3,V12), P_f10-{F}(V13,V14), p13-{F}(V13,V12) | p15-{T}(V14,V2)
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #8: input, references = 3, size of lhs = 16:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), P_c18-{F}(V3), P_f3-{F}(V3,V4), P_c19-{F}(V5), P_c23-{F}(V6), P_f9-{F}(V0,V6,V7), P_c16-{F}(V8), P_f4-{F}(V8,V9), P_f3-{F}(V9,V10), P_c17-{F}(V11), P_f5-{F}(V3,V12), P_f5-{F}(V13,V15), P_f5-{F}(V14,V16), p2-{F}(V13,V14) | p2-{T}(V15,V16)
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #9: input, references = 3, size of lhs = 16:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), P_c18-{F}(V3), P_f3-{F}(V3,V4), P_c19-{F}(V5), P_c23-{F}(V6), P_f9-{F}(V0,V6,V7), P_c16-{F}(V8), P_f4-{F}(V8,V9), P_f3-{F}(V9,V10), P_c17-{F}(V11), P_f5-{F}(V3,V12), P_f10-{F}(V13,V15), P_f10-{F}(V14,V16), p2-{F}(V13,V14) | p2-{T}(V15,V16)
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #10: input, references = 3, size of lhs = 16:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), P_c18-{F}(V3), P_f3-{F}(V3,V4), P_c19-{F}(V5), P_c23-{F}(V6), P_f9-{F}(V0,V6,V7), P_c16-{F}(V8), P_f4-{F}(V8,V9), P_f3-{F}(V9,V10), P_c17-{F}(V11), P_f5-{F}(V3,V12), P_f11-{F}(V13,V15), P_f11-{F}(V14,V16), p2-{F}(V13,V14) | p2-{T}(V15,V16)
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #11: input, references = 3, size of lhs = 16:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), P_c18-{F}(V3), P_f3-{F}(V3,V4), P_c19-{F}(V5), P_c23-{F}(V6), P_f9-{F}(V0,V6,V7), P_c16-{F}(V8), P_f4-{F}(V8,V9), P_f3-{F}(V9,V10), P_c17-{F}(V11), P_f5-{F}(V3,V12), P_f3-{F}(V13,V15), P_f3-{F}(V14,V16), p2-{F}(V13,V14) | p2-{T}(V15,V16)
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #12: input, references = 3, size of lhs = 16:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), P_c18-{F}(V3), P_f3-{F}(V3,V4), P_c19-{F}(V5), P_c23-{F}(V6), P_f9-{F}(V0,V6,V7), P_c16-{F}(V8), P_f4-{F}(V8,V9), P_f3-{F}(V9,V10), P_c17-{F}(V11), P_f5-{F}(V3,V12), P_f4-{F}(V13,V15), P_f4-{F}(V14,V16), p2-{F}(V13,V14) | p2-{T}(V15,V16)
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #13: input, references = 12, size of lhs = 15:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), P_c18-{F}(V3), P_f3-{F}(V3,V4), P_c19-{F}(V5), P_c23-{F}(V6), P_f9-{F}(V0,V6,V7), P_c16-{F}(V8), P_f4-{F}(V8,V9), P_f3-{F}(V9,V10), P_c17-{F}(V11), P_f5-{F}(V3,V12), p2-{F}(V15,V13), p2-{F}(V15,V14) | p2-{T}(V13,V14)
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #14: input, references = 3, size of lhs = 17:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), P_c18-{F}(V3), P_f3-{F}(V3,V4), P_c19-{F}(V5), P_c23-{F}(V6), P_f9-{F}(V0,V6,V7), P_c16-{F}(V8), P_f4-{F}(V8,V9), P_f3-{F}(V9,V10), P_c17-{F}(V11), P_f5-{F}(V3,V12), P_f3-{F}(V13,V14), P_f5-{F}(V13,V15), P_f3-{F}(V15,V16), p13-{F}(V13,V3) | p12-{T}(V13,V14,V16)
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #15: input, references = 7, size of lhs = 16:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), P_c18-{F}(V3), P_f3-{F}(V3,V4), P_c19-{F}(V5), P_c23-{F}(V6), P_f9-{F}(V0,V6,V7), P_c16-{F}(V8), P_f4-{F}(V8,V9), P_f3-{F}(V9,V10), P_c17-{F}(V11), P_f5-{F}(V3,V12), P_f8-{F}(V2,V1,V13), P_f7-{F}(V13,V0,V14), P_f6-{F}(V12,V4,V15) | p2-{T}(V14,V15)
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #16: input, references = 3, size of lhs = 20:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), P_c18-{F}(V3), P_f3-{F}(V3,V4), P_c19-{F}(V5), P_c23-{F}(V6), P_f9-{F}(V0,V6,V7), P_c16-{F}(V8), P_f4-{F}(V8,V9), P_f3-{F}(V9,V10), P_c17-{F}(V11), P_f5-{F}(V3,V12), P_f8-{F}(V2,V1,V13), P_f7-{F}(V13,V0,V14), P_f6-{F}(V12,V4,V15), P_f10-{F}(V16,V17), P_f11-{F}(V16,V18), P_f9-{F}(V0,V18,V19), p13-{F}(V16,V12) | p2-{T}(V17,V19)
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #17: input, references = 3, size of lhs = 19:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), P_c18-{F}(V3), P_f3-{F}(V3,V4), P_c19-{F}(V5), P_c23-{F}(V6), P_f9-{F}(V0,V6,V7), P_c16-{F}(V8), P_f4-{F}(V8,V9), P_f3-{F}(V9,V10), P_c17-{F}(V11), P_f5-{F}(V3,V12), P_f8-{F}(V2,V1,V13), P_f7-{F}(V13,V0,V14), P_f6-{F}(V12,V4,V15), p13-{F}(V16,V17), p2-{F}(V17,V18), p2-{F}(V16,V19) | p13-{T}(V19,V18)
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #18: input, references = 3, size of lhs = 19:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), P_c18-{F}(V3), P_f3-{F}(V3,V4), P_c19-{F}(V5), P_c23-{F}(V6), P_f9-{F}(V0,V6,V7), P_c16-{F}(V8), P_f4-{F}(V8,V9), P_f3-{F}(V9,V10), P_c17-{F}(V11), P_f5-{F}(V3,V12), P_f8-{F}(V2,V1,V13), P_f7-{F}(V13,V0,V14), P_f6-{F}(V12,V4,V15), p15-{F}(V16,V17), p2-{F}(V17,V18), p2-{F}(V16,V19) | p15-{T}(V19,V18)
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #19: input, references = 3, size of lhs = 20:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), P_c18-{F}(V3), P_f3-{F}(V3,V4), P_c19-{F}(V5), P_c23-{F}(V6), P_f9-{F}(V0,V6,V7), P_c16-{F}(V8), P_f4-{F}(V8,V9), P_f3-{F}(V9,V10), P_c17-{F}(V11), P_f5-{F}(V3,V12), P_f8-{F}(V2,V1,V13), P_f7-{F}(V13,V0,V14), P_f6-{F}(V12,V4,V15), p2-{F}(V16,V17), P_f9-{F}(V19,V16,V20), P_f9-{F}(V18,V17,V21), p2-{F}(V19,V18) | p2-{T}(V20,V21)
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #20: input, references = 5, size of lhs = 20:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), P_c18-{F}(V3), P_f3-{F}(V3,V4), P_c19-{F}(V5), P_c23-{F}(V6), P_f9-{F}(V0,V6,V7), P_c16-{F}(V8), P_f4-{F}(V8,V9), P_f3-{F}(V9,V10), P_c17-{F}(V11), P_f5-{F}(V3,V12), P_f8-{F}(V2,V1,V13), P_f7-{F}(V13,V0,V14), P_f6-{F}(V12,V4,V15), p2-{F}(V16,V17), P_f6-{F}(V19,V16,V20), P_f6-{F}(V18,V17,V21), p2-{F}(V19,V18) | p2-{T}(V20,V21)
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #21: input, references = 3, size of lhs = 20:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), P_c18-{F}(V3), P_f3-{F}(V3,V4), P_c19-{F}(V5), P_c23-{F}(V6), P_f9-{F}(V0,V6,V7), P_c16-{F}(V8), P_f4-{F}(V8,V9), P_f3-{F}(V9,V10), P_c17-{F}(V11), P_f5-{F}(V3,V12), P_f8-{F}(V2,V1,V13), P_f7-{F}(V13,V0,V14), P_f6-{F}(V12,V4,V15), p2-{F}(V16,V17), P_f7-{F}(V19,V16,V20), P_f7-{F}(V18,V17,V21), p2-{F}(V19,V18) | p2-{T}(V20,V21)
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #22: input, references = 3, size of lhs = 20:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), P_c18-{F}(V3), P_f3-{F}(V3,V4), P_c19-{F}(V5), P_c23-{F}(V6), P_f9-{F}(V0,V6,V7), P_c16-{F}(V8), P_f4-{F}(V8,V9), P_f3-{F}(V9,V10), P_c17-{F}(V11), P_f5-{F}(V3,V12), P_f8-{F}(V2,V1,V13), P_f7-{F}(V13,V0,V14), P_f6-{F}(V12,V4,V15), p2-{F}(V16,V17), P_f8-{F}(V19,V16,V20), P_f8-{F}(V18,V17,V21), p2-{F}(V19,V18) | p2-{T}(V20,V21)
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #23: input, references = 3, size of lhs = 23:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), P_c18-{F}(V3), P_f3-{F}(V3,V4), P_c19-{F}(V5), P_c23-{F}(V6), P_f9-{F}(V0,V6,V7), P_c16-{F}(V8), P_f4-{F}(V8,V9), P_f3-{F}(V9,V10), P_c17-{F}(V11), P_f5-{F}(V3,V12), P_f8-{F}(V2,V1,V13), P_f7-{F}(V13,V0,V14), P_f6-{F}(V12,V4,V15), P_f10-{F}(V16,V17), P_f8-{F}(V2,V17,V18), P_f7-{F}(V18,V0,V19), P_f5-{F}(V16,V20), P_f3-{F}(V16,V21), P_f6-{F}(V20,V21,V22), p13-{F}(V16,V12) | p2-{T}(V19,V22)
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #24: input, references = 3, size of lhs = 20:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), P_c18-{F}(V3), P_f3-{F}(V3,V4), P_c19-{F}(V5), P_c23-{F}(V6), P_f9-{F}(V0,V6,V7), P_c16-{F}(V8), P_f4-{F}(V8,V9), P_f3-{F}(V9,V10), P_c17-{F}(V11), P_f5-{F}(V3,V12), P_f8-{F}(V2,V1,V13), P_f7-{F}(V13,V0,V14), P_f6-{F}(V12,V4,V15), p12-{F}(V18,V17,V16), p2-{F}(V16,V19), p2-{F}(V17,V20), p2-{F}(V18,V21) | p12-{T}(V21,V20,V19)
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #25: input, references = 6, size of lhs = 23:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), P_c18-{F}(V3), P_f3-{F}(V3,V4), P_c19-{F}(V5), P_c23-{F}(V6), P_f9-{F}(V0,V6,V7), P_c16-{F}(V8), P_f4-{F}(V8,V9), P_f3-{F}(V9,V10), P_c17-{F}(V11), P_f5-{F}(V3,V12), P_f8-{F}(V2,V1,V13), P_f7-{F}(V13,V0,V14), P_f6-{F}(V12,V4,V15), P_f6-{F}(V12,V5,V16), P_f8-{F}(V2,V17,V18), P_f7-{F}(V18,V0,V19), p15-{F}(V17,V2), p2-{F}(V19,V16), P_f9-{F}(V0,V20,V21), p2-{F}(V17,V21) | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #26: input, references = 3, size of lhs = 24:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), P_c18-{F}(V3), P_f3-{F}(V3,V4), P_c19-{F}(V5), P_c23-{F}(V6), P_f9-{F}(V0,V6,V7), P_c16-{F}(V8), P_f4-{F}(V8,V9), P_f3-{F}(V9,V10), P_c17-{F}(V11), P_f5-{F}(V3,V12), P_f8-{F}(V2,V1,V13), P_f7-{F}(V13,V0,V14), P_f6-{F}(V12,V4,V15), P_f6-{F}(V12,V5,V16), P_f8-{F}(V2,V17,V18), P_f7-{F}(V18,V0,V19), p15-{F}(V17,V2), P_f9-{F}(V0,V20,V21), p2-{F}(V17,V21), P_f6-{F}(V12,V22,V23), p2-{F}(V19,V23) | p2-{T}(V17,V1)
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #27: input, references = 3, size of lhs = 24:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), P_c18-{F}(V3), P_f3-{F}(V3,V4), P_c19-{F}(V5), P_c23-{F}(V6), P_f9-{F}(V0,V6,V7), P_c16-{F}(V8), P_f4-{F}(V8,V9), P_f3-{F}(V9,V10), P_c17-{F}(V11), P_f5-{F}(V3,V12), P_f8-{F}(V2,V1,V13), P_f7-{F}(V13,V0,V14), P_f6-{F}(V12,V4,V15), P_f6-{F}(V12,V5,V16), P_f8-{F}(V2,V17,V18), P_f7-{F}(V18,V0,V19), p15-{F}(V17,V2), P_f9-{F}(V0,V20,V21), p2-{F}(V17,V21), P_f6-{F}(V12,V22,V23), p2-{F}(V19,V23) | p2-{T}(V22,V4)
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #28: input, references = 3, size of lhs = 27:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), P_c18-{F}(V3), P_f3-{F}(V3,V4), P_c19-{F}(V5), P_c23-{F}(V6), P_f9-{F}(V0,V6,V7), P_c16-{F}(V8), P_f4-{F}(V8,V9), P_f3-{F}(V9,V10), P_c17-{F}(V11), P_f5-{F}(V3,V12), P_f8-{F}(V2,V1,V13), P_f7-{F}(V13,V0,V14), P_f6-{F}(V12,V4,V15), P_f6-{F}(V12,V5,V16), P_f8-{F}(V2,V17,V18), P_f7-{F}(V18,V0,V19), p15-{F}(V17,V2), P_f9-{F}(V0,V20,V21), p2-{F}(V17,V21), P_f3-{F}(V22,V23), P_f5-{F}(V22,V24), p13-{F}(V22,V12), P_f6-{F}(V24,V25,V26), p2-{F}(V19,V26) | p2-{T}(V25,V23)
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #29: input, references = 3, size of lhs = 27:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), P_c18-{F}(V3), P_f3-{F}(V3,V4), P_c19-{F}(V5), P_c23-{F}(V6), P_f9-{F}(V0,V6,V7), P_c16-{F}(V8), P_f4-{F}(V8,V9), P_f3-{F}(V9,V10), P_c17-{F}(V11), P_f5-{F}(V3,V12), P_f8-{F}(V2,V1,V13), P_f7-{F}(V13,V0,V14), P_f6-{F}(V12,V4,V15), P_f6-{F}(V12,V5,V16), P_f8-{F}(V2,V17,V18), P_f7-{F}(V18,V0,V19), p15-{F}(V17,V2), P_f9-{F}(V0,V20,V21), p2-{F}(V17,V21), P_f10-{F}(V22,V23), P_f5-{F}(V22,V24), p13-{F}(V22,V12), P_f6-{F}(V24,V25,V26), p2-{F}(V19,V26) | p2-{T}(V17,V23)
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #30: input, references = 4, size of lhs = 0:
% 0.61/0.85     FALSE | EXISTS V0: P_c20-{T}(V0)
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #31: input, references = 4, size of lhs = 0:
% 0.61/0.85     FALSE | EXISTS V0: P_c22-{T}(V0)
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #32: input, references = 4, size of lhs = 0:
% 0.61/0.85     FALSE | EXISTS V0: P_c21-{T}(V0)
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #33: input, references = 6, size of lhs = 1:
% 0.61/0.85     #-{F} V0 | EXISTS V1: P_f3-{T}(V0,V1)
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #34: input, references = 4, size of lhs = 0:
% 0.61/0.85     FALSE | EXISTS V0: P_c18-{T}(V0)
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #35: input, references = 4, size of lhs = 0:
% 0.61/0.85     FALSE | EXISTS V0: P_c19-{T}(V0)
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #36: input, references = 8, size of lhs = 2:
% 0.61/0.85     #-{F} V0, #-{F} V1 | EXISTS V2: P_f9-{T}(V0,V1,V2)
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #37: input, references = 4, size of lhs = 0:
% 0.61/0.85     FALSE | EXISTS V0: P_c23-{T}(V0)
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #38: input, references = 5, size of lhs = 1:
% 0.61/0.85     #-{F} V0 | EXISTS V1: P_f4-{T}(V0,V1)
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #39: input, references = 4, size of lhs = 0:
% 0.61/0.85     FALSE | EXISTS V0: P_c16-{T}(V0)
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #40: input, references = 4, size of lhs = 0:
% 0.61/0.85     FALSE | EXISTS V0: P_c17-{T}(V0)
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #41: input, references = 3, size of lhs = 1:
% 0.61/0.85     #-{F} V0 | EXISTS V1: P_f10-{T}(V0,V1)
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #42: input, references = 5, size of lhs = 1:
% 0.61/0.85     #-{F} V0 | EXISTS V1: P_f5-{T}(V0,V1)
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #43: input, references = 3, size of lhs = 1:
% 0.61/0.85     #-{F} V0 | EXISTS V1: P_f11-{T}(V0,V1)
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #44: input, references = 5, size of lhs = 2:
% 0.61/0.85     #-{F} V0, #-{F} V1 | EXISTS V2: P_f7-{T}(V0,V1,V2)
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #45: input, references = 6, size of lhs = 2:
% 0.61/0.85     #-{F} V0, #-{F} V1 | EXISTS V2: P_f8-{T}(V0,V1,V2)
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #46: input, references = 8, size of lhs = 2:
% 0.61/0.85     #-{F} V0, #-{F} V1 | EXISTS V2: P_f6-{T}(V0,V1,V2)
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  number of initial rules = 47
% 0.61/0.85  
% 0.61/0.85  Simplifiers:
% 0.61/0.85  #47: unsound, references = 3, size of lhs = 3:
% 0.61/0.85     P_c20-{F}(V0), P_c20-{F}(V1), V0 == V1 | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #48: unsound, references = 3, size of lhs = 3:
% 0.61/0.85     P_c22-{F}(V0), P_c22-{F}(V1), V0 == V1 | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #49: unsound, references = 3, size of lhs = 3:
% 0.61/0.85     P_c21-{F}(V0), P_c21-{F}(V1), V0 == V1 | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #50: unsound, references = 3, size of lhs = 3:
% 0.61/0.85     P_f3-{F}(V0,V1), P_f3-{F}(V0,V3), V1 == V3 | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #51: unsound, references = 3, size of lhs = 3:
% 0.61/0.85     P_c18-{F}(V0), P_c18-{F}(V1), V0 == V1 | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #52: unsound, references = 3, size of lhs = 3:
% 0.61/0.85     P_c19-{F}(V0), P_c19-{F}(V1), V0 == V1 | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #53: unsound, references = 3, size of lhs = 3:
% 0.61/0.85     P_f9-{F}(V0,V1,V2), P_f9-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #54: unsound, references = 3, size of lhs = 3:
% 0.61/0.85     P_c23-{F}(V0), P_c23-{F}(V1), V0 == V1 | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #55: unsound, references = 3, size of lhs = 3:
% 0.61/0.85     P_f4-{F}(V0,V1), P_f4-{F}(V0,V3), V1 == V3 | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #56: unsound, references = 3, size of lhs = 3:
% 0.61/0.85     P_c16-{F}(V0), P_c16-{F}(V1), V0 == V1 | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #57: unsound, references = 3, size of lhs = 3:
% 0.61/0.85     P_c17-{F}(V0), P_c17-{F}(V1), V0 == V1 | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #58: unsound, references = 3, size of lhs = 3:
% 0.61/0.85     P_f10-{F}(V0,V1), P_f10-{F}(V0,V3), V1 == V3 | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #59: unsound, references = 3, size of lhs = 3:
% 0.61/0.85     P_f5-{F}(V0,V1), P_f5-{F}(V0,V3), V1 == V3 | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #60: unsound, references = 3, size of lhs = 3:
% 0.61/0.85     P_f11-{F}(V0,V1), P_f11-{F}(V0,V3), V1 == V3 | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #61: unsound, references = 3, size of lhs = 3:
% 0.61/0.85     P_f7-{F}(V0,V1,V2), P_f7-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #62: unsound, references = 3, size of lhs = 3:
% 0.61/0.85     P_f8-{F}(V0,V1,V2), P_f8-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #63: unsound, references = 3, size of lhs = 3:
% 0.61/0.85     P_f6-{F}(V0,V1,V2), P_f6-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  number of simplifiers = 17
% 0.61/0.85  
% 0.61/0.85  Learnt:
% 0.61/0.85  #79: mergings( V3 == V16, V4 == V17, V5 == V18, V6 == V19, V7 == V20, V8 == V21, V9 == V22, V10 == V23, V11 == V24, V12 == V25, V13 == V26, V14 == V27, V15 == V28; #65 ), references = 2, size of lhs = 21:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), P_c18-{F}(V3), P_f3-{F}(V3,V4), P_c19-{F}(V5), P_c23-{F}(V6), P_c16-{F}(V7), P_f4-{F}(V7,V8), P_f3-{F}(V8,V9), P_c17-{F}(V10), P_f5-{F}(V3,V11), P_f6-{F}(V11,V5,V12), P_f6-{F}(V11,V4,V12), P_f8-{F}(V2,V1,V13), P_f7-{F}(V13,V0,V14), p15-{F}(V15,V2), P_f8-{F}(V2,V15,V16), P_f7-{F}(V16,V0,V14), p2-{F}(V15,V17), P_f9-{F}(V0,V18,V17) | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #81: exists( #44, #79 ), references = 1, size of lhs = 19:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), P_c18-{F}(V3), P_f3-{F}(V3,V4), P_c19-{F}(V5), P_c23-{F}(V6), P_c16-{F}(V7), P_f4-{F}(V7,V8), P_f3-{F}(V8,V9), P_c17-{F}(V10), P_f5-{F}(V3,V11), P_f6-{F}(V11,V5,V12), P_f6-{F}(V11,V4,V12), P_f8-{F}(V2,V1,V13), p15-{F}(V14,V2), P_f8-{F}(V2,V14,V13), p2-{F}(V14,V15), P_f9-{F}(V0,V16,V15) | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #83: exists( #45, #80 ), references = 2, size of lhs = 17:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), p15-{F}(V1,V2), P_c18-{F}(V3), P_f3-{F}(V3,V4), P_c19-{F}(V5), P_c23-{F}(V6), P_c16-{F}(V7), P_f4-{F}(V7,V8), P_f3-{F}(V8,V9), P_c17-{F}(V10), P_f5-{F}(V3,V11), P_f6-{F}(V11,V5,V12), P_f6-{F}(V11,V4,V12), p2-{F}(V1,V13), P_f9-{F}(V0,V14,V13) | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #91: mergings( V3 == V8, V4 == V9, V5 == V10, V6 == V11, V1 == V12; #85 ), references = 2, size of lhs = 15:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), p15-{F}(V1,V2), P_c18-{F}(V3), P_f3-{F}(V3,V4), P_c19-{F}(V5), P_c23-{F}(V6), P_c16-{F}(V7), P_f4-{F}(V7,V8), P_f3-{F}(V8,V9), P_c17-{F}(V10), P_f5-{F}(V3,V11), P_f6-{F}(V11,V5,V12), P_f6-{F}(V11,V4,V12) | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #95: exists( #33, #91 ), references = 1, size of lhs = 14:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), p15-{F}(V1,V2), P_c18-{F}(V3), P_f3-{F}(V3,V4), P_c19-{F}(V5), P_c23-{F}(V6), P_c16-{F}(V7), P_f4-{F}(V7,V8), P_c17-{F}(V9), P_f5-{F}(V3,V10), P_f6-{F}(V10,V5,V11), P_f6-{F}(V10,V4,V11) | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #97: exists( #38, #92 ), references = 1, size of lhs = 13:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), p15-{F}(V1,V2), P_c18-{F}(V3), P_f3-{F}(V3,V4), P_c19-{F}(V5), P_c23-{F}(V6), P_c16-{F}(V7), P_c17-{F}(V8), P_f5-{F}(V3,V9), P_f6-{F}(V9,V5,V10), P_f6-{F}(V9,V4,V10) | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #99: exists( #46, #96 ), references = 1, size of lhs = 11:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), p15-{F}(V1,V2), P_c18-{F}(V3), P_f3-{F}(V3,V4), P_c19-{F}(V4), P_c23-{F}(V5), P_c16-{F}(V6), P_c17-{F}(V7), P_f5-{F}(V3,V8) | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #101: exists( #42, #98 ), references = 1, size of lhs = 10:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), p15-{F}(V1,V2), P_c18-{F}(V3), P_f3-{F}(V3,V4), P_c19-{F}(V4), P_c23-{F}(V5), P_c16-{F}(V6), P_c17-{F}(V7) | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #103: exists( #46, #25 ), references = 2, size of lhs = 22:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), P_c18-{F}(V3), P_f3-{F}(V3,V4), P_c19-{F}(V5), P_c23-{F}(V6), P_f9-{F}(V0,V6,V7), P_c16-{F}(V8), P_f4-{F}(V8,V9), P_f3-{F}(V9,V10), P_c17-{F}(V11), P_f5-{F}(V3,V12), P_f8-{F}(V2,V1,V13), P_f7-{F}(V13,V0,V14), P_f6-{F}(V12,V5,V15), p15-{F}(V16,V2), P_f8-{F}(V2,V16,V17), P_f7-{F}(V17,V0,V18), p2-{F}(V18,V15), p2-{F}(V16,V19), P_f9-{F}(V0,V20,V19) | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #138: mergings( V3 == V16, V16 == V29, V4 == V17, V17 == V30, V5 == V18, V18 == V31, V6 == V19, V1 == V20, V19 == V32, V20 == V33, V7 == V21, V21 == V34, V8 == V22, V9 == V23, V22 == V35, V23 == V36, V10 == V24, V11 == V25, V12 == V26, V24 == V37, V25 == V38, V26 == V39, V13 == V27, V27 == V40, V0 == V28, V28 == V41, V14 == V42, V15 == V43; #108 ), references = 1, size of lhs = 26:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), P_c18-{F}(V3), P_f3-{F}(V3,V4), P_c19-{F}(V5), P_c23-{F}(V6), P_f9-{F}(V0,V6,V7), P_c16-{F}(V8), P_f4-{F}(V8,V9), P_f3-{F}(V9,V10), P_c17-{F}(V11), P_f5-{F}(V3,V12), P_f8-{F}(V2,V1,V13), P_f7-{F}(V13,V0,V14), P_f6-{F}(V12,V5,V15), p15-{F}(V16,V2), P_f8-{F}(V2,V16,V17), P_f7-{F}(V17,V0,V18), p2-{F}(V16,V19), P_f9-{F}(V0,V20,V19), p2-{F}(V21,V18), p2-{F}(V22,V23), P_f6-{F}(V24,V22,V21), p2-{F}(V24,V25), P_f6-{F}(V25,V23,V15) | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #165: mergings( V3 == V16, V16 == V29, V4 == V17, V17 == V30, V5 == V18, V18 == V31, V6 == V19, V1 == V20, V19 == V32, V7 == V21, V21 == V33, V8 == V22, V9 == V23, V22 == V34, V23 == V35, V10 == V24, V11 == V25, V12 == V26, V24 == V36, V25 == V37, V26 == V38, V13 == V27, V27 == V39, V28 == V0, V14 == V40, V15 == V41; #109 ), references = 1, size of lhs = 26:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), P_c18-{F}(V3), P_f3-{F}(V3,V4), P_f5-{F}(V3,V5), P_c19-{F}(V6), P_c23-{F}(V7), P_f9-{F}(V0,V7,V8), P_c16-{F}(V9), P_f4-{F}(V9,V10), P_f3-{F}(V10,V11), P_c17-{F}(V12), P_f8-{F}(V2,V1,V13), P_f7-{F}(V13,V0,V14), P_f6-{F}(V5,V6,V15), p15-{F}(V16,V2), P_f8-{F}(V2,V16,V17), P_f7-{F}(V17,V0,V18), p2-{F}(V16,V19), P_f9-{F}(V0,V20,V19), p2-{F}(V21,V18), p2-{F}(V22,V23), P_f6-{F}(V24,V22,V21), p2-{F}(V24,V25), P_f6-{F}(V25,V23,V15) | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #196: mergings( V3 == V18, V18 == V31, V4 == V19, V19 == V32, V5 == V20, V20 == V33, V6 == V21, V7 == V22, V21 == V34, V22 == V35, V8 == V23, V23 == V1, V9 == V24, V10 == V25, V24 == V36, V25 == V37, V11 == V26, V12 == V27, V13 == V28, V26 == V38, V27 == V39, V28 == V40, V14 == V29, V29 == V41, V15 == V30, V30 == V0, V16 == V42, V17 == V43; #166 ), references = 2, size of lhs = 24:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), P_c18-{F}(V3), P_f3-{F}(V3,V4), P_c19-{F}(V5), P_c23-{F}(V6), P_f9-{F}(V0,V6,V7), P_c16-{F}(V8), P_f4-{F}(V8,V9), P_f3-{F}(V9,V10), P_c17-{F}(V11), P_f5-{F}(V3,V12), P_f8-{F}(V2,V1,V13), P_f7-{F}(V13,V0,V14), p15-{F}(V15,V2), P_f8-{F}(V2,V15,V16), P_f7-{F}(V16,V0,V17), p2-{F}(V15,V18), P_f9-{F}(V0,V19,V18), p2-{F}(V20,V5), p2-{F}(V21,V12), P_f6-{F}(V21,V20,V22), p2-{F}(V22,V17) | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #223: mergings( V3 == V17, V17 == V30, V4 == V18, V18 == V31, V5 == V19, V19 == V32, V6 == V20, V7 == V21, V20 == V33, V8 == V22, V22 == V1, V9 == V23, V10 == V24, V23 == V34, V24 == V35, V11 == V25, V12 == V26, V13 == V27, V25 == V36, V26 == V37, V27 == V38, V14 == V28, V28 == V39, V29 == V0, V15 == V40, V16 == V41; #167 ), references = 1, size of lhs = 24:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), P_c18-{F}(V3), P_f3-{F}(V3,V4), P_f5-{F}(V3,V5), P_c19-{F}(V6), P_c23-{F}(V7), P_f9-{F}(V0,V7,V8), P_c16-{F}(V9), P_f4-{F}(V9,V10), P_f3-{F}(V10,V11), P_c17-{F}(V12), P_f8-{F}(V2,V1,V13), P_f7-{F}(V13,V0,V14), p15-{F}(V15,V2), P_f8-{F}(V2,V15,V16), P_f7-{F}(V16,V0,V17), p2-{F}(V15,V18), P_f9-{F}(V0,V19,V18), p2-{F}(V20,V6), p2-{F}(V21,V5), P_f6-{F}(V21,V20,V22), p2-{F}(V22,V17) | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #269: mergings( V3 == V8, V8 == V18, V18 == V30, V30 == V40, V4 == V9, V9 == V19, V19 == V31, V31 == V41, V5 == V10, V6 == V11, V10 == V20, V11 == V21, V20 == V32, V21 == V33, V32 == V42, V33 == V43, V7 == V12, V12 == V22, V22 == V34, V34 == V44, V13 == V23, V14 == V24, V15 == V25, V23 == V35, V24 == V36, V25 == V37, V35 == V45, V36 == V46, V37 == V47, V16 == V26, V26 == V38, V38 == V48, V17 == V27, V27 == V39, V39 == V49, V28 == V52, V29 == V53, V52 == V54, V53 == V55; #228 ), references = 2, size of lhs = 20:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), p15-{F}(V1,V2), P_c18-{F}(V3), P_f3-{F}(V3,V4), P_c19-{F}(V5), P_c23-{F}(V6), P_c16-{F}(V7), P_f4-{F}(V7,V8), P_f3-{F}(V8,V9), P_c17-{F}(V10), P_f5-{F}(V3,V11), p2-{F}(V12,V11), p2-{F}(V12,V13), P_f8-{F}(V2,V1,V14), P_f7-{F}(V14,V0,V15), p2-{F}(V16,V5), P_f6-{F}(V13,V16,V17), p2-{F}(V17,V15) | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #307: mergings( V3 == V8, V8 == V18, V18 == V32, V32 == V42, V4 == V9, V9 == V19, V19 == V33, V33 == V43, V5 == V10, V6 == V11, V10 == V20, V11 == V21, V20 == V34, V21 == V35, V34 == V44, V7 == V12, V12 == V22, V22 == V36, V36 == V45, V13 == V23, V14 == V24, V15 == V25, V23 == V37, V24 == V38, V25 == V39, V37 == V46, V38 == V47, V39 == V48, V16 == V26, V26 == V40, V40 == V49, V17 == V41, V41 == V27, V30 == V50, V31 == V51, V50 == V52, V51 == V53; #229 ), references = 2, size of lhs = 20:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), p15-{F}(V1,V2), P_c18-{F}(V3), P_f3-{F}(V3,V4), P_f5-{F}(V3,V5), p2-{F}(V6,V5), p2-{F}(V6,V7), P_c19-{F}(V8), P_c23-{F}(V9), P_c16-{F}(V10), P_f4-{F}(V10,V11), P_f3-{F}(V11,V12), P_c17-{F}(V13), P_f8-{F}(V2,V1,V14), P_f7-{F}(V14,V0,V15), p2-{F}(V16,V8), P_f6-{F}(V7,V16,V17), p2-{F}(V17,V15) | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #345: mergings( V3 == V17, V17 == V1, V4 == V18, V18 == V30, V5 == V19, V19 == V31, V6 == V20, V7 == V21, V20 == V32, V21 == V33, V8 == V22, V22 == V34, V9 == V23, V24 == V10, V23 == V35, V11 == V25, V12 == V26, V13 == V27, V25 == V36, V26 == V37, V27 == V38, V14 == V28, V28 == V39, V15 == V29, V29 == V40; #317 ), references = 1, size of lhs = 20:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), p15-{F}(V1,V2), P_f8-{F}(V2,V1,V3), P_c18-{F}(V4), P_f3-{F}(V4,V5), P_c19-{F}(V6), P_c23-{F}(V7), P_f9-{F}(V0,V7,V8), P_c16-{F}(V9), P_f4-{F}(V9,V10), P_f3-{F}(V10,V11), P_c17-{F}(V12), P_f5-{F}(V4,V13), P_f6-{F}(V13,V5,V14), p2-{F}(V15,V13), p2-{F}(V15,V16), p2-{F}(V17,V6), P_f6-{F}(V16,V17,V14) | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #371: mergings( V3 == V17, V17 == V1, V4 == V18, V18 == V30, V5 == V19, V19 == V31, V6 == V20, V7 == V21, V20 == V32, V21 == V33, V8 == V22, V22 == V37, V9 == V23, V24 == V10, V23 == V38, V11 == V25, V12 == V26, V13 == V27, V25 == V39, V26 == V40, V27 == V41, V14 == V28, V28 == V42, V15 == V29, V29 == V34; #318 ), references = 1, size of lhs = 20:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), p15-{F}(V1,V2), P_f8-{F}(V2,V1,V3), P_c18-{F}(V4), P_f3-{F}(V4,V5), P_f5-{F}(V4,V6), P_f6-{F}(V6,V5,V7), p2-{F}(V8,V6), p2-{F}(V8,V9), P_c19-{F}(V10), P_c23-{F}(V11), P_f9-{F}(V0,V11,V12), P_c16-{F}(V13), P_f4-{F}(V13,V14), P_f3-{F}(V14,V15), P_c17-{F}(V16), p2-{F}(V17,V10), P_f6-{F}(V9,V17,V7) | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #398: mergings( V3 == V17, V17 == V1, V4 == V18, V18 == V30, V5 == V19, V19 == V31, V6 == V20, V7 == V21, V20 == V32, V21 == V33, V8 == V22, V22 == V34, V9 == V23, V24 == V10, V23 == V35, V10 == V36, V11 == V25, V12 == V26, V13 == V27, V25 == V37, V26 == V38, V27 == V39, V14 == V28, V28 == V40, V15 == V29, V29 == V41; #319 ), references = 1, size of lhs = 22:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), P_f8-{F}(V2,V1,V3), P_c18-{F}(V4), P_f3-{F}(V4,V5), P_c19-{F}(V6), P_c23-{F}(V7), P_f9-{F}(V0,V7,V8), P_c16-{F}(V9), P_f4-{F}(V9,V10), P_f3-{F}(V10,V11), P_c17-{F}(V12), P_f5-{F}(V4,V13), P_f6-{F}(V13,V5,V14), p15-{F}(V15,V2), P_f8-{F}(V2,V15,V3), p2-{F}(V15,V16), P_f9-{F}(V0,V17,V16), p2-{F}(V18,V6), p2-{F}(V19,V13), P_f6-{F}(V19,V18,V14) | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #427: mergings( V3 == V14, V14 == V27, V4 == V15, V15 == V29, V5 == V16, V16 == V30, V6 == V17, V1 == V18, V17 == V31, V18 == V32, V7 == V19, V19 == V33, V8 == V20, V21 == V28, V20 == V34, V9 == V22, V10 == V23, V11 == V24, V22 == V35, V23 == V36, V24 == V37, V12 == V25, V25 == V38, V0 == V26, V26 == V39; #399 ), references = 2, size of lhs = 17:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), p15-{F}(V1,V2), P_f8-{F}(V2,V1,V3), P_c18-{F}(V4), P_f3-{F}(V4,V5), P_c19-{F}(V6), p2-{F}(V5,V6), P_c23-{F}(V7), P_f9-{F}(V0,V7,V8), P_c16-{F}(V9), P_f4-{F}(V9,V10), P_f3-{F}(V10,V11), P_c17-{F}(V12), P_f5-{F}(V4,V13), p2-{F}(V14,V13) | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #453: mergings( V3 == V14, V14 == V27, V4 == V15, V15 == V29, V5 == V16, V16 == V30, V6 == V17, V1 == V18, V17 == V31, V18 == V32, V7 == V19, V19 == V35, V8 == V20, V21 == V28, V20 == V36, V9 == V22, V10 == V23, V11 == V24, V22 == V37, V23 == V38, V24 == V39, V12 == V25, V25 == V40, V0 == V26, V26 == V33; #400 ), references = 2, size of lhs = 17:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), p15-{F}(V1,V2), P_f8-{F}(V2,V1,V3), P_c18-{F}(V4), P_f3-{F}(V4,V5), P_f5-{F}(V4,V6), p2-{F}(V7,V6), P_c19-{F}(V8), p2-{F}(V5,V8), P_c23-{F}(V9), P_f9-{F}(V0,V9,V10), P_c16-{F}(V11), P_f4-{F}(V11,V12), P_f3-{F}(V12,V13), P_c17-{F}(V14) | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #480: mergings( V3 == V14, V14 == V27, V4 == V15, V15 == V29, V5 == V16, V16 == V30, V6 == V17, V1 == V18, V17 == V31, V18 == V32, V7 == V19, V19 == V33, V8 == V20, V21 == V28, V20 == V34, V28 == V35, V9 == V22, V10 == V23, V11 == V24, V22 == V36, V23 == V37, V24 == V38, V12 == V25, V25 == V39, V0 == V26, V26 == V40; #401 ), references = 2, size of lhs = 20:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), P_f8-{F}(V2,V1,V3), P_c18-{F}(V4), P_f3-{F}(V4,V5), P_c19-{F}(V6), p2-{F}(V5,V6), P_c23-{F}(V7), P_f9-{F}(V0,V7,V8), P_c16-{F}(V9), P_f4-{F}(V9,V10), P_f3-{F}(V10,V11), P_c17-{F}(V12), P_f5-{F}(V4,V13), p2-{F}(V13,V13), p15-{F}(V14,V2), P_f8-{F}(V2,V14,V3), p2-{F}(V14,V15), P_f9-{F}(V0,V16,V15) | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #527: mergings( V22 == V0, V3 == V12, V12 == V23, V23 == V34, V34 == V44, V4 == V13, V13 == V24, V24 == V35, V35 == V45, V5 == V14, V6 == V15, V14 == V25, V15 == V26, V25 == V36, V26 == V37, V36 == V46, V37 == V47, V7 == V16, V16 == V27, V27 == V38, V38 == V48, V1 == V49, V8 == V17, V9 == V18, V10 == V19, V17 == V28, V18 == V29, V19 == V30, V28 == V39, V29 == V40, V30 == V41, V39 == V50, V40 == V51, V41 == V52, V11 == V20, V20 == V31, V31 == V42, V42 == V53, V21 == V43, V43 == V32; #485 ), references = 1, size of lhs = 16:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), p15-{F}(V1,V2), P_f8-{F}(V2,V1,V3), P_c18-{F}(V4), P_f5-{F}(V4,V5), P_f3-{F}(V4,V6), P_c19-{F}(V7), p2-{F}(V6,V7), P_c23-{F}(V8), P_c16-{F}(V9), P_f4-{F}(V9,V10), P_f3-{F}(V10,V11), p2-{F}(V11,V5), P_c17-{F}(V12) | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #568: mergings( V22 == V0, V3 == V12, V12 == V23, V23 == V34, V34 == V44, V4 == V13, V13 == V24, V24 == V35, V35 == V45, V5 == V14, V6 == V15, V14 == V25, V15 == V26, V25 == V36, V26 == V37, V36 == V46, V37 == V47, V7 == V16, V16 == V27, V27 == V38, V38 == V48, V1 == V49, V8 == V17, V9 == V18, V10 == V19, V17 == V28, V18 == V29, V19 == V30, V28 == V39, V29 == V40, V30 == V41, V39 == V50, V40 == V51, V41 == V52, V11 == V20, V20 == V31, V31 == V42, V42 == V53, V21 == V43, V43 == V32; #486 ), references = 1, size of lhs = 16:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), p15-{F}(V1,V2), P_f8-{F}(V2,V1,V3), P_c18-{F}(V4), P_f5-{F}(V4,V5), P_f3-{F}(V4,V6), P_c19-{F}(V7), p2-{F}(V6,V7), P_c23-{F}(V8), P_c16-{F}(V9), P_f4-{F}(V9,V10), P_f3-{F}(V10,V11), p2-{F}(V11,V5), P_c17-{F}(V12) | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #609: mergings( V22 == V42, V3 == V12, V12 == V31, V31 == V1, V4 == V13, V13 == V32, V32 == V0, V5 == V14, V6 == V15, V14 == V23, V15 == V24, V23 == V33, V24 == V34, V33 == V43, V34 == V44, V7 == V16, V16 == V25, V25 == V35, V35 == V45, V36 == V46, V8 == V17, V9 == V18, V10 == V19, V17 == V26, V18 == V27, V19 == V28, V26 == V37, V27 == V38, V28 == V39, V37 == V47, V38 == V48, V39 == V49, V11 == V20, V20 == V29, V29 == V40, V40 == V50, V21 == V41, V41 == V30; #569 ), references = 1, size of lhs = 15:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), p15-{F}(V1,V2), P_c18-{F}(V3), P_f5-{F}(V3,V4), P_f3-{F}(V3,V5), P_c19-{F}(V6), p2-{F}(V5,V6), P_c23-{F}(V7), P_c16-{F}(V8), P_f4-{F}(V8,V9), P_f3-{F}(V9,V10), p2-{F}(V10,V4), P_c17-{F}(V11) | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #648: mergings( V22 == V42, V3 == V12, V12 == V31, V31 == V1, V4 == V13, V13 == V32, V32 == V0, V5 == V14, V6 == V15, V14 == V23, V15 == V24, V23 == V33, V24 == V34, V33 == V43, V34 == V44, V7 == V16, V16 == V25, V25 == V35, V35 == V45, V36 == V46, V8 == V17, V9 == V18, V10 == V19, V17 == V26, V18 == V27, V19 == V28, V26 == V37, V27 == V38, V28 == V39, V37 == V47, V38 == V48, V39 == V49, V11 == V20, V20 == V29, V29 == V40, V40 == V50, V21 == V41, V41 == V30; #570 ), references = 1, size of lhs = 15:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), p15-{F}(V1,V2), P_c18-{F}(V3), P_f5-{F}(V3,V4), P_f3-{F}(V3,V5), P_c19-{F}(V6), p2-{F}(V5,V6), P_c23-{F}(V7), P_c16-{F}(V8), P_f4-{F}(V8,V9), P_f3-{F}(V9,V10), p2-{F}(V10,V4), P_c17-{F}(V11) | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #652: exists( #33, #427 ), references = 1, size of lhs = 16:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), p15-{F}(V1,V2), P_f8-{F}(V2,V1,V3), P_c18-{F}(V4), P_f3-{F}(V4,V5), P_c19-{F}(V6), p2-{F}(V5,V6), P_c23-{F}(V7), P_f9-{F}(V0,V7,V8), P_c16-{F}(V9), P_f4-{F}(V9,V10), P_c17-{F}(V11), P_f5-{F}(V4,V12), p2-{F}(V13,V12) | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #653: exists( #33, #453 ), references = 1, size of lhs = 16:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), p15-{F}(V1,V2), P_f8-{F}(V2,V1,V3), P_c18-{F}(V4), P_f3-{F}(V4,V5), P_f5-{F}(V4,V6), p2-{F}(V7,V6), P_c19-{F}(V8), p2-{F}(V5,V8), P_c23-{F}(V9), P_f9-{F}(V0,V9,V10), P_c16-{F}(V11), P_f4-{F}(V11,V12), P_c17-{F}(V13) | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #654: exists( #33, #480 ), references = 1, size of lhs = 19:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), P_f8-{F}(V2,V1,V3), P_c18-{F}(V4), P_f3-{F}(V4,V5), P_c19-{F}(V6), p2-{F}(V5,V6), P_c23-{F}(V7), P_f9-{F}(V0,V7,V8), P_c16-{F}(V9), P_f4-{F}(V9,V10), P_c17-{F}(V11), P_f5-{F}(V4,V12), p2-{F}(V12,V12), p15-{F}(V13,V2), P_f8-{F}(V2,V13,V3), p2-{F}(V13,V14), P_f9-{F}(V0,V15,V14) | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #664: mergings( V3 == V8, V4 == V9, V5 == V11, V6 == V12, V7 == V13; #658 ), references = 1, size of lhs = 15:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), p15-{F}(V1,V2), P_f8-{F}(V2,V1,V3), P_c18-{F}(V4), P_f3-{F}(V4,V5), P_c19-{F}(V6), p2-{F}(V5,V6), P_c23-{F}(V7), P_c16-{F}(V8), P_f4-{F}(V8,V9), P_c17-{F}(V10), P_f5-{F}(V4,V11), p2-{F}(V11,V11) | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #670: mergings( V3 == V0, V4 == V8, V5 == V9, V6 == V10; #665 ), references = 1, size of lhs = 14:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), p15-{F}(V1,V2), P_c18-{F}(V3), P_f3-{F}(V3,V4), P_c19-{F}(V5), p2-{F}(V4,V5), P_c23-{F}(V6), P_c16-{F}(V7), P_f4-{F}(V7,V8), P_c17-{F}(V9), P_f5-{F}(V3,V10), p2-{F}(V10,V10) | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #676: mergings( V2 == V8, V3 == V9, V4 == V10, V5 == V11; #671 ), references = 2, size of lhs = 13:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), p15-{F}(V1,V2), P_c18-{F}(V3), P_f3-{F}(V3,V4), P_c19-{F}(V5), p2-{F}(V4,V5), P_c23-{F}(V6), P_c16-{F}(V7), P_c17-{F}(V8), P_f5-{F}(V3,V9), p2-{F}(V9,V9) | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #680: mergings( V2 == V3; #678 ), references = 1, size of lhs = 11:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), p15-{F}(V1,V2), P_c18-{F}(V3), P_f3-{F}(V3,V4), P_c19-{F}(V5), p2-{F}(V4,V5), P_c23-{F}(V6), P_c16-{F}(V7), P_c17-{F}(V8) | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #687: mergings( V2 == V5, V5 == V6, V3 == V7, V4 == V8; #682 ), references = 1, size of lhs = 9:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), p15-{F}(V1,V2), P_c18-{F}(V3), P_c19-{F}(V4), P_c23-{F}(V5), P_c16-{F}(V6), P_c17-{F}(V7) | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #693: mergings( V1 == V4, V4 == V5, V2 == V6, V3 == V7; #688 ), references = 1, size of lhs = 8:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), p15-{F}(V1,V2), P_c18-{F}(V3), P_c19-{F}(V4), P_c23-{F}(V5), P_c16-{F}(V6) | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #699: mergings( V1 == V4, V4 == V5, V2 == V6, V3 == V7; #694 ), references = 1, size of lhs = 7:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), p15-{F}(V1,V2), P_c18-{F}(V3), P_c19-{F}(V4), P_c23-{F}(V5) | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #705: mergings( V1 == V4, V4 == V5, V2 == V6, V3 == V7; #700 ), references = 1, size of lhs = 6:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), p15-{F}(V1,V2), P_c18-{F}(V3), P_c19-{F}(V4) | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #711: mergings( V1 == V4, V4 == V5, V2 == V6, V3 == V7; #706 ), references = 1, size of lhs = 5:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), p15-{F}(V1,V2), P_c18-{F}(V3) | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #717: mergings( V1 == V4, V4 == V5, V2 == V6, V3 == V7; #712 ), references = 1, size of lhs = 4:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1), P_c21-{F}(V2), p15-{F}(V1,V2) | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #724: mergings( V1 == V2, V2 == V4, V4 == V5, V3 == V6; #719 ), references = 1, size of lhs = 2:
% 0.61/0.85     P_c20-{F}(V0), P_c22-{F}(V1) | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #729: mergings( V1 == V2, V2 == V3, V3 == V4; #725 ), references = 1, size of lhs = 1:
% 0.61/0.85     P_c20-{F}(V0) | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  #731: exists( #30, #725 ), references = 1, size of lhs = 0:
% 0.61/0.85     FALSE | FALSE
% 0.61/0.85        (used 0 times, uses = {})
% 0.61/0.85  
% 0.61/0.85  number of learnt formulas = 41
% 0.61/0.85  
% 0.61/0.85  
% 0.61/0.85  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.85  
% 0.61/0.85  randbase = 1
%------------------------------------------------------------------------------