TSTP Solution File: SYN592-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SYN592-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n025.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 06:25:02 EDT 2022

% Result   : Unsatisfiable 0.73s 0.91s
% Output   : Refutation 0.73s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SYN592-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.11/0.33  % Computer : n025.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Sat Jul 23 03:48:42 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.73/0.91  GeoParameters:
% 0.73/0.91  
% 0.73/0.91  tptp_input =     1
% 0.73/0.91  tptp_output =    0
% 0.73/0.91  nonempty =       1
% 0.73/0.91  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.73/0.91  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.73/0.91  
% 0.73/0.91  
% 0.73/0.91  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.73/0.91  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.73/0.91  
% 0.73/0.91  RuleSystem INPUT:
% 0.73/0.91  
% 0.73/0.91  Initial Rules:
% 0.73/0.91  #0: input, references = 3, size of lhs = 1:
% 0.73/0.91     P_c14-{F}(V0) | p9-{T}(V0)
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #1: input, references = 3, size of lhs = 2:
% 0.73/0.91     P_c14-{F}(V0), P_c13-{F}(V1) | p8-{T}(V1)
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #2: input, references = 4, size of lhs = 3:
% 0.73/0.91     P_c14-{F}(V0), P_c13-{F}(V1), #-{F} V2 | p7-{T}(V2,V2)
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #3: input, references = 4, size of lhs = 3:
% 0.73/0.91     P_c14-{F}(V0), P_c13-{F}(V1), #-{F} V2 | p2-{T}(V2,V2)
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #4: input, references = 3, size of lhs = 3:
% 0.73/0.91     P_c14-{F}(V0), P_c13-{F}(V1), #-{F} V2 | p3-{T}(V2,V2)
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #5: input, references = 3, size of lhs = 3:
% 0.73/0.91     P_c14-{F}(V0), P_c13-{F}(V1), #-{F} V2 | p10-{T}(V0,V2)
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #6: input, references = 3, size of lhs = 3:
% 0.73/0.91     P_c14-{F}(V0), P_c13-{F}(V1), P_c15-{F}(V2) | p10-{T}(V1,V2)
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #7: input, references = 3, size of lhs = 4:
% 0.73/0.91     P_c14-{F}(V0), P_c13-{F}(V1), P_c15-{F}(V2), P_c17-{F}(V3) | p10-{T}(V1,V3)
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #8: input, references = 3, size of lhs = 5:
% 0.73/0.91     P_c14-{F}(V0), P_c13-{F}(V1), P_c15-{F}(V2), P_c17-{F}(V3), P_c16-{F}(V4) | p10-{T}(V1,V4)
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #9: input, references = 5, size of lhs = 6:
% 0.73/0.91     P_c14-{F}(V0), P_c13-{F}(V1), P_c15-{F}(V2), P_c17-{F}(V3), P_c16-{F}(V4), p2-{F}(V3,V2) | FALSE
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #10: input, references = 12, size of lhs = 7:
% 0.73/0.91     P_c14-{F}(V0), P_c13-{F}(V1), P_c15-{F}(V2), P_c17-{F}(V3), P_c16-{F}(V4), P_c18-{F}(V5), P_f4-{F}(V5,V3,V6) | p12-{T}(V0,V6)
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #11: input, references = 8, size of lhs = 10:
% 0.73/0.91     P_c14-{F}(V0), P_c13-{F}(V1), P_c15-{F}(V2), P_c17-{F}(V3), P_c16-{F}(V4), P_c18-{F}(V5), P_f4-{F}(V5,V3,V6), P_f5-{F}(V5,V7), P_f4-{F}(V3,V7,V8), p11-{F}(V1,V8) | FALSE
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #12: input, references = 8, size of lhs = 11:
% 0.73/0.91     P_c14-{F}(V0), P_c13-{F}(V1), P_c15-{F}(V2), P_c17-{F}(V3), P_c16-{F}(V4), P_c18-{F}(V5), P_f4-{F}(V5,V3,V6), P_f5-{F}(V5,V7), P_f4-{F}(V3,V7,V8), P_f4-{F}(V7,V3,V9), p11-{F}(V1,V9) | FALSE
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #13: input, references = 3, size of lhs = 12:
% 0.73/0.91     P_c14-{F}(V0), P_c13-{F}(V1), P_c15-{F}(V2), P_c17-{F}(V3), P_c16-{F}(V4), P_c18-{F}(V5), P_f4-{F}(V5,V3,V6), P_f5-{F}(V5,V7), P_f4-{F}(V3,V7,V8), P_f4-{F}(V7,V3,V9), p8-{F}(V10), p7-{F}(V10,V11) | p8-{T}(V11)
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #14: input, references = 3, size of lhs = 12:
% 0.73/0.91     P_c14-{F}(V0), P_c13-{F}(V1), P_c15-{F}(V2), P_c17-{F}(V3), P_c16-{F}(V4), P_c18-{F}(V5), P_f4-{F}(V5,V3,V6), P_f5-{F}(V5,V7), P_f4-{F}(V3,V7,V8), P_f4-{F}(V7,V3,V9), p9-{F}(V10), p7-{F}(V10,V11) | p9-{T}(V11)
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #15: input, references = 5, size of lhs = 12:
% 0.73/0.91     P_c14-{F}(V0), P_c13-{F}(V1), P_c15-{F}(V2), P_c17-{F}(V3), P_c16-{F}(V4), P_c18-{F}(V5), P_f4-{F}(V5,V3,V6), P_f5-{F}(V5,V7), P_f4-{F}(V3,V7,V8), P_f4-{F}(V7,V3,V9), P_f4-{F}(V2,V10,V11), p10-{F}(V1,V10) | p11-{T}(V0,V11)
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #16: input, references = 3, size of lhs = 13:
% 0.73/0.91     P_c14-{F}(V0), P_c13-{F}(V1), P_c15-{F}(V2), P_c17-{F}(V3), P_c16-{F}(V4), P_c18-{F}(V5), P_f4-{F}(V5,V3,V6), P_f5-{F}(V5,V7), P_f4-{F}(V3,V7,V8), P_f4-{F}(V7,V3,V9), P_f5-{F}(V10,V12), P_f5-{F}(V11,V13), p2-{F}(V10,V11) | p2-{T}(V12,V13)
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #17: input, references = 6, size of lhs = 13:
% 0.73/0.91     P_c14-{F}(V0), P_c13-{F}(V1), P_c15-{F}(V2), P_c17-{F}(V3), P_c16-{F}(V4), P_c18-{F}(V5), P_f4-{F}(V5,V3,V6), P_f5-{F}(V5,V7), P_f4-{F}(V3,V7,V8), P_f4-{F}(V7,V3,V9), P_f6-{F}(V10,V12), P_f6-{F}(V11,V13), p2-{F}(V10,V11) | p2-{T}(V12,V13)
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #18: input, references = 3, size of lhs = 12:
% 0.73/0.91     P_c14-{F}(V0), P_c13-{F}(V1), P_c15-{F}(V2), P_c17-{F}(V3), P_c16-{F}(V4), P_c18-{F}(V5), P_f4-{F}(V5,V3,V6), P_f5-{F}(V5,V7), P_f4-{F}(V3,V7,V8), P_f4-{F}(V7,V3,V9), p7-{F}(V12,V10), p7-{F}(V12,V11) | p7-{T}(V10,V11)
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #19: input, references = 8, size of lhs = 12:
% 0.73/0.91     P_c14-{F}(V0), P_c13-{F}(V1), P_c15-{F}(V2), P_c17-{F}(V3), P_c16-{F}(V4), P_c18-{F}(V5), P_f4-{F}(V5,V3,V6), P_f5-{F}(V5,V7), P_f4-{F}(V3,V7,V8), P_f4-{F}(V7,V3,V9), p2-{F}(V12,V10), p2-{F}(V12,V11) | p2-{T}(V10,V11)
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #20: input, references = 3, size of lhs = 12:
% 0.73/0.91     P_c14-{F}(V0), P_c13-{F}(V1), P_c15-{F}(V2), P_c17-{F}(V3), P_c16-{F}(V4), P_c18-{F}(V5), P_f4-{F}(V5,V3,V6), P_f5-{F}(V5,V7), P_f4-{F}(V3,V7,V8), P_f4-{F}(V7,V3,V9), p3-{F}(V12,V10), p3-{F}(V12,V11) | p3-{T}(V10,V11)
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #21: input, references = 10, size of lhs = 14:
% 0.73/0.91     P_c14-{F}(V0), P_c13-{F}(V1), P_c15-{F}(V2), P_c17-{F}(V3), P_c16-{F}(V4), P_c18-{F}(V5), P_f4-{F}(V5,V3,V6), P_f5-{F}(V5,V7), P_f4-{F}(V3,V7,V8), P_f4-{F}(V7,V3,V9), P_f6-{F}(V10,V11), P_f5-{F}(V10,V12), P_f4-{F}(V10,V3,V13), p12-{F}(V0,V13) | p2-{T}(V11,V12)
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #22: input, references = 3, size of lhs = 13:
% 0.73/0.91     P_c14-{F}(V0), P_c13-{F}(V1), P_c15-{F}(V2), P_c17-{F}(V3), P_c16-{F}(V4), P_c18-{F}(V5), P_f4-{F}(V5,V3,V6), P_f5-{F}(V5,V7), P_f4-{F}(V3,V7,V8), P_f4-{F}(V7,V3,V9), p10-{F}(V11,V10), p2-{F}(V10,V12), p7-{F}(V11,V13) | p10-{T}(V13,V12)
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #23: input, references = 3, size of lhs = 13:
% 0.73/0.91     P_c14-{F}(V0), P_c13-{F}(V1), P_c15-{F}(V2), P_c17-{F}(V3), P_c16-{F}(V4), P_c18-{F}(V5), P_f4-{F}(V5,V3,V6), P_f5-{F}(V5,V7), P_f4-{F}(V3,V7,V8), P_f4-{F}(V7,V3,V9), p12-{F}(V11,V10), p3-{F}(V10,V12), p7-{F}(V11,V13) | p12-{T}(V13,V12)
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #24: input, references = 9, size of lhs = 13:
% 0.73/0.91     P_c14-{F}(V0), P_c13-{F}(V1), P_c15-{F}(V2), P_c17-{F}(V3), P_c16-{F}(V4), P_c18-{F}(V5), P_f4-{F}(V5,V3,V6), P_f5-{F}(V5,V7), P_f4-{F}(V3,V7,V8), P_f4-{F}(V7,V3,V9), p11-{F}(V11,V10), p3-{F}(V10,V12), p7-{F}(V11,V13) | p11-{T}(V13,V12)
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #25: input, references = 9, size of lhs = 14:
% 0.73/0.91     P_c14-{F}(V0), P_c13-{F}(V1), P_c15-{F}(V2), P_c17-{F}(V3), P_c16-{F}(V4), P_c18-{F}(V5), P_f4-{F}(V5,V3,V6), P_f5-{F}(V5,V7), P_f4-{F}(V3,V7,V8), P_f4-{F}(V7,V3,V9), p2-{F}(V10,V11), P_f4-{F}(V13,V10,V14), P_f4-{F}(V12,V11,V15), p2-{F}(V13,V12) | p3-{T}(V14,V15)
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #26: input, references = 5, size of lhs = 15:
% 0.73/0.91     P_c14-{F}(V0), P_c13-{F}(V1), P_c15-{F}(V2), P_c17-{F}(V3), P_c16-{F}(V4), P_c18-{F}(V5), P_f4-{F}(V5,V3,V6), P_f5-{F}(V5,V7), P_f4-{F}(V3,V7,V8), P_f4-{F}(V7,V3,V9), P_f6-{F}(V10,V11), P_f4-{F}(V3,V11,V12), P_f4-{F}(V11,V3,V13), P_f4-{F}(V10,V3,V14), p12-{F}(V0,V14) | p11-{T}(V1,V12), p11-{T}(V1,V13)
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #27: input, references = 4, size of lhs = 0:
% 0.73/0.91     FALSE | EXISTS V0: P_c14-{T}(V0)
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #28: input, references = 4, size of lhs = 0:
% 0.73/0.91     FALSE | EXISTS V0: P_c13-{T}(V0)
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #29: input, references = 4, size of lhs = 0:
% 0.73/0.91     FALSE | EXISTS V0: P_c15-{T}(V0)
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #30: input, references = 4, size of lhs = 0:
% 0.73/0.91     FALSE | EXISTS V0: P_c17-{T}(V0)
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #31: input, references = 5, size of lhs = 0:
% 0.73/0.91     FALSE | EXISTS V0: P_c16-{T}(V0)
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #32: input, references = 17, size of lhs = 2:
% 0.73/0.91     #-{F} V0, #-{F} V1 | EXISTS V2: P_f4-{T}(V0,V1,V2)
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #33: input, references = 4, size of lhs = 0:
% 0.73/0.91     FALSE | EXISTS V0: P_c18-{T}(V0)
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #34: input, references = 4, size of lhs = 1:
% 0.73/0.91     #-{F} V0 | EXISTS V1: P_f5-{T}(V0,V1)
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #35: input, references = 5, size of lhs = 1:
% 0.73/0.91     #-{F} V0 | EXISTS V1: P_f6-{T}(V0,V1)
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  number of initial rules = 36
% 0.73/0.91  
% 0.73/0.91  Simplifiers:
% 0.73/0.91  #36: unsound, references = 3, size of lhs = 3:
% 0.73/0.91     p9-{F}(V0), p9-{F}(V1), V0 == V1 | FALSE
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #37: unsound, references = 3, size of lhs = 3:
% 0.73/0.91     p8-{F}(V0), p8-{F}(V1), V0 == V1 | FALSE
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #38: unsound, references = 3, size of lhs = 2:
% 0.73/0.91     p7-{F}(V0,V1), V1 == V0 | FALSE
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #39: unsound, references = 3, size of lhs = 3:
% 0.73/0.91     p12-{F}(V0,V1), p12-{F}(V2,V3), V0 == V2 | FALSE
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #40: unsound, references = 3, size of lhs = 3:
% 0.73/0.91     P_c14-{F}(V0), P_c14-{F}(V1), V0 == V1 | FALSE
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #41: unsound, references = 3, size of lhs = 3:
% 0.73/0.91     P_c13-{F}(V0), P_c13-{F}(V1), V0 == V1 | FALSE
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #42: unsound, references = 3, size of lhs = 3:
% 0.73/0.91     P_c15-{F}(V0), P_c15-{F}(V1), V0 == V1 | FALSE
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #43: unsound, references = 3, size of lhs = 3:
% 0.73/0.91     P_c17-{F}(V0), P_c17-{F}(V1), V0 == V1 | FALSE
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #44: unsound, references = 3, size of lhs = 3:
% 0.73/0.91     P_c16-{F}(V0), P_c16-{F}(V1), V0 == V1 | FALSE
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #45: unsound, references = 3, size of lhs = 3:
% 0.73/0.91     P_f4-{F}(V0,V1,V2), P_f4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #46: unsound, references = 3, size of lhs = 3:
% 0.73/0.91     P_c18-{F}(V0), P_c18-{F}(V1), V0 == V1 | FALSE
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #47: unsound, references = 3, size of lhs = 3:
% 0.73/0.91     P_f5-{F}(V0,V1), P_f5-{F}(V0,V3), V1 == V3 | FALSE
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #48: unsound, references = 3, size of lhs = 3:
% 0.73/0.91     P_f6-{F}(V0,V1), P_f6-{F}(V0,V3), V1 == V3 | FALSE
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  number of simplifiers = 13
% 0.73/0.91  
% 0.73/0.91  Learnt:
% 0.73/0.91  #50: exists( #31, #9 ), references = 2, size of lhs = 5:
% 0.73/0.91     P_c14-{F}(V0), P_c13-{F}(V1), P_c15-{F}(V2), P_c17-{F}(V3), p2-{F}(V3,V2) | FALSE
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #61: mergings( V3 == V12, V12 == V4, V5 == V13, V6 == V14, V7 == V15, V8 == V11; #53 ), references = 1, size of lhs = 11:
% 0.73/0.91     P_c13-{F}(V0), P_c14-{F}(V0), p10-{F}(V0,V1), P_c15-{F}(V2), P_f4-{F}(V2,V1,V3), P_c17-{F}(V4), P_c16-{F}(V5), P_c18-{F}(V6), P_f5-{F}(V6,V7), P_f4-{F}(V4,V7,V3), P_f4-{F}(V7,V4,V8) | FALSE
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #69: mergings( V3 == V12, V12 == V4, V5 == V13, V6 == V14, V7 == V15, V8 == V16, V9 == V11; #54 ), references = 1, size of lhs = 11:
% 0.73/0.91     P_c13-{F}(V0), P_c14-{F}(V0), p10-{F}(V0,V1), P_c15-{F}(V2), P_f4-{F}(V2,V1,V3), P_c17-{F}(V4), P_c16-{F}(V5), P_c18-{F}(V6), P_f5-{F}(V6,V7), P_f4-{F}(V7,V4,V3), P_f4-{F}(V4,V7,V8) | FALSE
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #94: mergings( V6 == V15, V15 == V22, V3 == V7, V7 == V16, V16 == V23, V4 == V8, V8 == V17, V17 == V24, V14 == V1, V5 == V9, V9 == V18, V1 == V10, V11 == V12, V10 == V19, V12 == V20, V20 == V21; #76 ), references = 2, size of lhs = 10:
% 0.73/0.91     P_c17-{F}(V0), P_c16-{F}(V1), P_c18-{F}(V2), P_f5-{F}(V2,V0), P_f6-{F}(V2,V3), P_f4-{F}(V0,V0,V4), P_c14-{F}(V5), P_c13-{F}(V6), P_c15-{F}(V7), p2-{F}(V3,V7) | FALSE
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #112: mergings( V6 == V15, V15 == V22, V3 == V7, V7 == V16, V16 == V23, V4 == V8, V8 == V17, V17 == V24, V14 == V1, V5 == V9, V9 == V18, V18 == V25, V1 == V10, V11 == V12, V10 == V19, V12 == V20, V20 == V21; #77 ), references = 1, size of lhs = 10:
% 0.73/0.91     P_c17-{F}(V0), P_c18-{F}(V1), P_f5-{F}(V1,V0), P_f6-{F}(V1,V2), P_f4-{F}(V0,V0,V3), P_c14-{F}(V4), P_c13-{F}(V5), P_c15-{F}(V6), p2-{F}(V2,V6), P_c16-{F}(V7) | FALSE
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #126: mergings( V5 == V10, V10 == V16, V2 == V6, V6 == V11, V11 == V17, V3 == V7, V7 == V12, V12 == V18, V9 == V0, V4 == V8, V8 == V13; #113 ), references = 2, size of lhs = 9:
% 0.73/0.91     P_c17-{F}(V0), P_c16-{F}(V1), P_c18-{F}(V2), P_f5-{F}(V2,V0), P_f6-{F}(V2,V3), P_c14-{F}(V4), P_c13-{F}(V5), P_c15-{F}(V6), p2-{F}(V3,V6) | FALSE
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #139: mergings( V5 == V10, V10 == V16, V2 == V6, V6 == V11, V11 == V17, V3 == V7, V7 == V12, V12 == V18, V9 == V0, V4 == V8, V8 == V13, V13 == V19; #114 ), references = 2, size of lhs = 9:
% 0.73/0.91     P_c17-{F}(V0), P_c18-{F}(V1), P_f5-{F}(V1,V0), P_f6-{F}(V1,V2), P_c14-{F}(V3), P_c13-{F}(V4), P_c15-{F}(V5), p2-{F}(V2,V5), P_c16-{F}(V6) | FALSE
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #150: mergings( V0 == V15, V2 == V16, V3 == V17, V4 == V18, V5 == V19, V6 == V20, V7 == V21, V8 == V12; #140 ), references = 3, size of lhs = 15:
% 0.73/0.91     P_c14-{F}(V0), p12-{F}(V0,V1), P_c13-{F}(V2), P_c15-{F}(V3), P_c17-{F}(V4), P_f4-{F}(V5,V4,V1), P_f6-{F}(V5,V6), P_f4-{F}(V4,V6,V7), P_f4-{F}(V6,V4,V8), P_c16-{F}(V9), P_c18-{F}(V10), P_f4-{F}(V10,V4,V11), P_f5-{F}(V10,V12), P_f4-{F}(V4,V12,V7), P_f4-{F}(V12,V4,V13) | p11-{T}(V2,V8)
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #160: mergings( V0 == V15, V2 == V16, V3 == V17, V4 == V18, V5 == V19, V6 == V20, V7 == V21, V8 == V22, V9 == V12; #141 ), references = 1, size of lhs = 15:
% 0.73/0.91     P_c14-{F}(V0), p12-{F}(V0,V1), P_c13-{F}(V2), P_c15-{F}(V3), P_c17-{F}(V4), P_f4-{F}(V5,V4,V1), P_f6-{F}(V5,V6), P_f4-{F}(V4,V6,V7), P_f4-{F}(V6,V4,V8), P_c16-{F}(V9), P_c18-{F}(V10), P_f4-{F}(V10,V4,V11), P_f5-{F}(V10,V12), P_f4-{F}(V12,V4,V7), P_f4-{F}(V4,V12,V13) | p11-{T}(V2,V8)
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #180: mergings( V6 == V15, V15 == V19, V3 == V20, V4 == V7, V7 == V16, V16 == V21, V5 == V8, V8 == V17, V17 == V22, V9 == V18, V10 == V13, V18 == V23, V13 == V14; #165 ), references = 1, size of lhs = 12:
% 0.73/0.91     P_c14-{F}(V0), P_c13-{F}(V1), P_c15-{F}(V2), P_c17-{F}(V3), P_c16-{F}(V4), P_c18-{F}(V5), P_f6-{F}(V5,V6), P_f4-{F}(V3,V6,V7), P_f4-{F}(V6,V3,V7), P_f5-{F}(V5,V8), P_f4-{F}(V3,V8,V7), P_f4-{F}(V8,V3,V9) | FALSE
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #195: mergings( V6 == V15, V15 == V19, V3 == V20, V4 == V7, V7 == V16, V16 == V21, V5 == V8, V8 == V17, V17 == V22, V9 == V18, V10 == V13, V18 == V23, V11 == V14, V13 == V24; #166 ), references = 1, size of lhs = 12:
% 0.73/0.91     P_c14-{F}(V0), P_c13-{F}(V1), P_c15-{F}(V2), P_c17-{F}(V3), P_c16-{F}(V4), P_c18-{F}(V5), P_f6-{F}(V5,V6), P_f4-{F}(V3,V6,V7), P_f4-{F}(V6,V3,V8), P_f5-{F}(V5,V9), P_f4-{F}(V9,V3,V8), P_f4-{F}(V3,V9,V7) | FALSE
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #207: mergings( V5 == V8, V8 == V11, V2 == V12, V3 == V6, V6 == V9, V9 == V13, V4 == V7, V7 == V10, V10 == V14; #196 ), references = 1, size of lhs = 8:
% 0.73/0.91     P_c14-{F}(V0), P_c13-{F}(V1), P_c15-{F}(V2), P_c17-{F}(V3), P_c16-{F}(V4), P_c18-{F}(V5), P_f6-{F}(V5,V3), P_f5-{F}(V5,V3) | FALSE
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #217: mergings( V5 == V8, V8 == V11, V2 == V12, V3 == V6, V6 == V9, V9 == V13, V4 == V7, V7 == V10, V10 == V14; #197 ), references = 1, size of lhs = 8:
% 0.73/0.91     P_c14-{F}(V0), P_c13-{F}(V1), P_c15-{F}(V2), P_c17-{F}(V3), P_c16-{F}(V4), P_c18-{F}(V5), P_f6-{F}(V5,V3), P_f5-{F}(V5,V3) | FALSE
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #260: mergings( V6 == V15, V15 == V22, V22 == V34, V3 == V7, V7 == V16, V16 == V23, V23 == V35, V4 == V8, V8 == V17, V17 == V24, V24 == V33, V1 == V29, V5 == V9, V9 == V18, V18 == V25, V25 == V30, V0 == V31, V10 == V14, V14 == V19, V11 == V20, V12 == V21, V19 == V26, V20 == V27, V21 == V28, V26 == V29, V27 == V28, V13 == V32; #230 ), references = 1, size of lhs = 12:
% 0.73/0.91     P_c17-{F}(V0), P_f4-{F}(V0,V0,V1), P_c16-{F}(V2), P_c18-{F}(V3), P_f5-{F}(V3,V0), P_f6-{F}(V3,V4), P_f6-{F}(V0,V4), P_c15-{F}(V5), P_c14-{F}(V6), P_c13-{F}(V7), p2-{F}(V4,V8), P_f6-{F}(V8,V5) | FALSE
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #288: mergings( V6 == V15, V15 == V22, V22 == V33, V3 == V7, V7 == V16, V16 == V23, V23 == V34, V4 == V8, V8 == V17, V17 == V24, V24 == V32, V1 == V29, V5 == V9, V9 == V18, V18 == V25, V25 == V35, V0 == V30, V10 == V14, V14 == V19, V11 == V20, V12 == V21, V19 == V26, V20 == V27, V21 == V28, V26 == V29, V27 == V28, V13 == V31; #231 ), references = 1, size of lhs = 12:
% 0.73/0.91     P_c17-{F}(V0), P_f4-{F}(V0,V0,V1), P_c18-{F}(V2), P_f5-{F}(V2,V0), P_f6-{F}(V2,V3), P_f6-{F}(V0,V3), P_c15-{F}(V4), P_c14-{F}(V5), P_c13-{F}(V6), P_c16-{F}(V7), p2-{F}(V3,V8), P_f6-{F}(V8,V4) | FALSE
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #317: mergings( V6 == V15, V15 == V22, V22 == V35, V3 == V7, V7 == V16, V16 == V23, V23 == V36, V4 == V8, V8 == V17, V17 == V24, V24 == V33, V1 == V29, V5 == V9, V9 == V18, V18 == V25, V25 == V30, V0 == V31, V10 == V14, V14 == V19, V11 == V20, V12 == V21, V19 == V26, V20 == V27, V21 == V28, V26 == V29, V27 == V28, V28 == V34, V13 == V32; #232 ), references = 1, size of lhs = 12:
% 0.73/0.91     P_c17-{F}(V0), P_c16-{F}(V1), P_c18-{F}(V2), P_f5-{F}(V2,V0), P_f6-{F}(V2,V3), P_f6-{F}(V0,V3), P_c15-{F}(V4), P_f4-{F}(V0,V0,V5), P_c14-{F}(V6), P_c13-{F}(V7), p2-{F}(V3,V8), P_f6-{F}(V8,V4) | FALSE
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #339: mergings( V5 == V9, V9 == V13, V13 == V24, V2 == V6, V6 == V10, V10 == V14, V14 == V25, V3 == V7, V7 == V11, V11 == V15, V15 == V23, V4 == V8, V8 == V12, V12 == V16, V16 == V20, V17 == V21, V19 == V0, V18 == V22; #320 ), references = 1, size of lhs = 11:
% 0.73/0.91     P_c17-{F}(V0), P_c16-{F}(V1), P_c18-{F}(V2), P_f5-{F}(V2,V0), P_f6-{F}(V2,V3), P_f6-{F}(V0,V3), P_c15-{F}(V4), P_c14-{F}(V5), P_c13-{F}(V6), p2-{F}(V3,V7), P_f6-{F}(V7,V4) | FALSE
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #359: mergings( V5 == V9, V9 == V13, V13 == V25, V2 == V6, V6 == V10, V10 == V14, V14 == V26, V3 == V7, V7 == V11, V11 == V15, V15 == V24, V0 == V20, V4 == V8, V8 == V12, V12 == V16, V16 == V21, V17 == V22, V19 == V20, V18 == V23; #318 ), references = 1, size of lhs = 11:
% 0.73/0.91     P_c17-{F}(V0), P_c16-{F}(V1), P_c18-{F}(V2), P_f5-{F}(V2,V0), P_f6-{F}(V2,V3), P_f6-{F}(V0,V3), P_c15-{F}(V4), P_c14-{F}(V5), P_c13-{F}(V6), p2-{F}(V3,V7), P_f6-{F}(V7,V4) | FALSE
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #379: mergings( V5 == V9, V9 == V13, V13 == V24, V2 == V6, V6 == V10, V10 == V14, V14 == V25, V3 == V7, V7 == V11, V11 == V15, V15 == V23, V0 == V20, V4 == V8, V8 == V12, V12 == V16, V16 == V26, V17 == V21, V19 == V20, V18 == V22; #319 ), references = 1, size of lhs = 11:
% 0.73/0.91     P_c17-{F}(V0), P_c18-{F}(V1), P_f5-{F}(V1,V0), P_f6-{F}(V1,V2), P_f6-{F}(V0,V2), P_c15-{F}(V3), P_c14-{F}(V4), P_c13-{F}(V5), P_c16-{F}(V6), p2-{F}(V2,V7), P_f6-{F}(V7,V3) | FALSE
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #431: mergings( V35 == V15, V3 == V13, V13 == V24, V24 == V34, V4 == V25, V25 == V15, V5 == V16, V16 == V26, V26 == V36, V6 == V1, V1 == V27, V27 == V37, V7 == V19, V19 == V28, V28 == V38, V8 == V20, V9 == V21, V20 == V29, V21 == V30, V29 == V39, V30 == V40, V10 == V22, V11 == V18, V12 == V23, V22 == V31, V18 == V32, V23 == V33, V31 == V41, V32 == V42; #400 ), references = 1, size of lhs = 18:
% 0.73/0.91     P_c14-{F}(V0), p12-{F}(V0,V1), P_c13-{F}(V2), p7-{F}(V2,V2), P_c15-{F}(V3), P_c17-{F}(V4), P_f4-{F}(V5,V4,V1), P_f6-{F}(V5,V6), P_f4-{F}(V4,V6,V7), P_c16-{F}(V8), P_c18-{F}(V9), P_f4-{F}(V9,V4,V10), P_f5-{F}(V9,V11), P_f4-{F}(V4,V11,V7), P_f4-{F}(V11,V4,V12), p2-{F}(V4,V13), p2-{F}(V6,V14), P_f4-{F}(V14,V13,V7) | FALSE
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #462: mergings( V35 == V15, V3 == V13, V13 == V24, V24 == V34, V4 == V25, V25 == V15, V5 == V16, V16 == V26, V26 == V36, V6 == V1, V1 == V27, V27 == V37, V7 == V19, V19 == V28, V28 == V38, V8 == V20, V9 == V21, V20 == V29, V21 == V30, V29 == V39, V30 == V40, V10 == V22, V11 == V18, V12 == V23, V22 == V31, V18 == V32, V23 == V33, V31 == V41, V32 == V43, V33 == V42; #401 ), references = 1, size of lhs = 18:
% 0.73/0.91     P_c14-{F}(V0), p12-{F}(V0,V1), P_c13-{F}(V2), p7-{F}(V2,V2), P_c15-{F}(V3), P_c17-{F}(V4), P_f4-{F}(V5,V4,V1), P_f6-{F}(V5,V6), P_f4-{F}(V4,V6,V7), P_c16-{F}(V8), P_c18-{F}(V9), P_f4-{F}(V9,V4,V10), P_f5-{F}(V9,V11), P_f4-{F}(V4,V11,V7), P_f4-{F}(V11,V4,V12), p2-{F}(V4,V13), p2-{F}(V6,V14), P_f4-{F}(V14,V13,V12) | FALSE
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #490: mergings( V26 == V1, V0 == V15, V15 == V25, V16 == V1, V2 == V17, V17 == V28, V3 == V18, V18 == V29, V4 == V19, V19 == V30, V5 == V20, V6 == V21, V20 == V31, V21 == V32, V7 == V22, V8 == V23, V9 == V24, V22 == V33, V23 == V27; #469 ), references = 3, size of lhs = 17:
% 0.73/0.91     P_c14-{F}(V0), p12-{F}(V0,V1), P_c13-{F}(V2), p7-{F}(V2,V2), P_c15-{F}(V3), P_c17-{F}(V4), P_f4-{F}(V5,V4,V1), P_f6-{F}(V5,V6), P_f4-{F}(V4,V6,V7), P_f4-{F}(V6,V4,V8), p3-{F}(V7,V9), P_c16-{F}(V10), P_c18-{F}(V11), P_f4-{F}(V11,V4,V12), P_f5-{F}(V11,V13), P_f4-{F}(V4,V13,V9), P_f4-{F}(V13,V4,V14) | p11-{T}(V2,V8)
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #511: mergings( V26 == V1, V0 == V15, V15 == V25, V16 == V1, V2 == V17, V17 == V28, V3 == V18, V18 == V29, V4 == V19, V19 == V30, V5 == V20, V6 == V21, V20 == V31, V21 == V32, V7 == V22, V8 == V23, V9 == V24, V22 == V33, V23 == V34, V24 == V27; #470 ), references = 1, size of lhs = 17:
% 0.73/0.91     P_c14-{F}(V0), p12-{F}(V0,V1), P_c13-{F}(V2), p7-{F}(V2,V2), P_c15-{F}(V3), P_c17-{F}(V4), P_f4-{F}(V5,V4,V1), P_f6-{F}(V5,V6), P_f4-{F}(V4,V6,V7), P_f4-{F}(V6,V4,V8), p3-{F}(V7,V9), P_c16-{F}(V10), P_c18-{F}(V11), P_f4-{F}(V11,V4,V12), P_f5-{F}(V11,V13), P_f4-{F}(V13,V4,V9), P_f4-{F}(V4,V13,V14) | p11-{T}(V2,V8)
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #557: mergings( V36 == V15, V3 == V13, V13 == V25, V25 == V35, V4 == V26, V26 == V15, V5 == V16, V16 == V27, V27 == V37, V6 == V1, V1 == V28, V28 == V38, V7 == V20, V20 == V29, V29 == V39, V8 == V21, V9 == V22, V21 == V30, V22 == V31, V30 == V40, V31 == V41, V10 == V23, V11 == V19, V12 == V24, V23 == V32, V19 == V33, V24 == V34, V32 == V42, V33 == V43; #526 ), references = 1, size of lhs = 19:
% 0.73/0.91     P_c14-{F}(V0), p12-{F}(V0,V1), P_c13-{F}(V2), p7-{F}(V2,V2), P_c15-{F}(V3), P_c17-{F}(V4), P_f4-{F}(V5,V4,V1), P_f6-{F}(V5,V6), P_f4-{F}(V4,V6,V7), p3-{F}(V7,V8), P_c16-{F}(V9), P_c18-{F}(V10), P_f4-{F}(V10,V4,V11), P_f5-{F}(V10,V12), P_f4-{F}(V4,V12,V8), P_f4-{F}(V12,V4,V13), p2-{F}(V4,V14), p2-{F}(V6,V15), P_f4-{F}(V15,V14,V8) | FALSE
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #588: mergings( V36 == V15, V3 == V13, V13 == V25, V25 == V35, V4 == V26, V26 == V15, V5 == V16, V16 == V27, V27 == V37, V6 == V1, V1 == V28, V28 == V38, V7 == V20, V20 == V29, V29 == V39, V8 == V21, V9 == V22, V21 == V30, V22 == V31, V30 == V40, V31 == V41, V10 == V23, V11 == V19, V12 == V24, V23 == V32, V19 == V33, V24 == V34, V32 == V42, V33 == V44, V34 == V43; #527 ), references = 1, size of lhs = 19:
% 0.73/0.91     P_c14-{F}(V0), p12-{F}(V0,V1), P_c13-{F}(V2), p7-{F}(V2,V2), P_c15-{F}(V3), P_c17-{F}(V4), P_f4-{F}(V5,V4,V1), P_f6-{F}(V5,V6), P_f4-{F}(V4,V6,V7), p3-{F}(V7,V8), P_c16-{F}(V9), P_c18-{F}(V10), P_f4-{F}(V10,V4,V11), P_f5-{F}(V10,V12), P_f4-{F}(V4,V12,V8), P_f4-{F}(V12,V4,V13), p2-{F}(V4,V14), p2-{F}(V6,V15), P_f4-{F}(V15,V14,V13) | FALSE
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #632: mergings( V45 == V25, V3 == V13, V13 == V23, V23 == V34, V34 == V44, V4 == V14, V14 == V35, V35 == V25, V5 == V15, V15 == V26, V26 == V36, V36 == V46, V6 == V16, V16 == V0, V0 == V37, V37 == V47, V7 == V17, V17 == V28, V28 == V38, V38 == V48, V8 == V18, V9 == V19, V18 == V29, V19 == V30, V29 == V39, V30 == V40, V39 == V49, V40 == V50, V10 == V20, V11 == V21, V12 == V22, V20 == V31, V21 == V32, V22 == V33, V31 == V41, V32 == V42, V33 == V43, V41 == V51, V42 == V52; #591 ), references = 1, size of lhs = 20:
% 0.73/0.91     P_c14-{F}(V0), p12-{F}(V0,V1), P_c13-{F}(V2), p7-{F}(V2,V2), P_c15-{F}(V3), P_c17-{F}(V4), P_f4-{F}(V5,V4,V1), P_f6-{F}(V5,V6), P_c16-{F}(V7), P_c18-{F}(V8), P_f4-{F}(V8,V4,V9), P_f5-{F}(V8,V10), P_f4-{F}(V10,V4,V11), P_f4-{F}(V4,V10,V12), p2-{F}(V4,V13), p2-{F}(V6,V14), P_f4-{F}(V14,V13,V12), p2-{F}(V6,V15), p2-{F}(V4,V16), P_f4-{F}(V16,V15,V12) | FALSE
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #673: mergings( V45 == V25, V3 == V13, V13 == V23, V23 == V34, V34 == V44, V4 == V14, V14 == V35, V35 == V25, V5 == V15, V15 == V26, V26 == V36, V36 == V46, V6 == V16, V16 == V0, V0 == V37, V37 == V47, V7 == V17, V17 == V28, V28 == V38, V38 == V48, V8 == V18, V9 == V19, V18 == V29, V19 == V30, V29 == V39, V30 == V40, V39 == V49, V40 == V50, V10 == V20, V11 == V21, V12 == V22, V20 == V31, V21 == V32, V22 == V33, V31 == V41, V32 == V42, V33 == V43, V41 == V51, V42 == V53, V43 == V52; #592 ), references = 1, size of lhs = 20:
% 0.73/0.91     P_c14-{F}(V0), p12-{F}(V0,V1), P_c13-{F}(V2), p7-{F}(V2,V2), P_c15-{F}(V3), P_c17-{F}(V4), P_f4-{F}(V5,V4,V1), P_f6-{F}(V5,V6), P_c16-{F}(V7), P_c18-{F}(V8), P_f4-{F}(V8,V4,V9), P_f5-{F}(V8,V10), P_f4-{F}(V10,V4,V11), P_f4-{F}(V4,V10,V12), p2-{F}(V4,V13), p2-{F}(V6,V14), P_f4-{F}(V14,V13,V11), p2-{F}(V6,V15), p2-{F}(V4,V16), P_f4-{F}(V16,V15,V12) | FALSE
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #717: mergings( V43 == V29, V14 == V21, V21 == V28, V28 == V35, V35 == V42, V3 == V6, V6 == V15, V15 == V22, V22 == V36, V36 == V29, V4 == V7, V7 == V16, V16 == V23, V23 == V30, V30 == V37, V37 == V44, V5 == V8, V8 == V17, V17 == V24, V24 == V31, V31 == V38, V38 == V45, V9 == V13, V13 == V18, V10 == V19, V11 == V20, V18 == V25, V19 == V26, V20 == V27, V25 == V32, V26 == V33, V27 == V34, V32 == V39, V33 == V40, V34 == V41, V39 == V46, V40 == V47; #678 ), references = 1, size of lhs = 15:
% 0.73/0.91     P_c14-{F}(V0), P_c13-{F}(V1), p7-{F}(V1,V1), P_c15-{F}(V2), P_c17-{F}(V3), P_c16-{F}(V4), P_c18-{F}(V5), P_f6-{F}(V5,V6), P_f5-{F}(V5,V7), P_f4-{F}(V7,V3,V8), P_f4-{F}(V3,V7,V9), p2-{F}(V3,V10), P_f4-{F}(V7,V10,V9), p2-{F}(V3,V11), P_f4-{F}(V11,V7,V9) | FALSE
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #756: mergings( V43 == V29, V14 == V21, V21 == V28, V28 == V35, V35 == V42, V3 == V6, V6 == V15, V15 == V22, V22 == V36, V36 == V29, V4 == V7, V7 == V16, V16 == V23, V23 == V30, V30 == V37, V37 == V44, V5 == V8, V8 == V17, V17 == V24, V24 == V31, V31 == V38, V38 == V45, V9 == V13, V13 == V18, V10 == V19, V11 == V20, V18 == V25, V19 == V26, V20 == V27, V25 == V32, V26 == V33, V27 == V34, V32 == V39, V33 == V40, V34 == V41, V39 == V46, V40 == V48, V41 == V47; #679 ), references = 2, size of lhs = 15:
% 0.73/0.91     P_c14-{F}(V0), P_c13-{F}(V1), p7-{F}(V1,V1), P_c15-{F}(V2), P_c17-{F}(V3), P_c16-{F}(V4), P_c18-{F}(V5), P_f6-{F}(V5,V6), P_f5-{F}(V5,V7), P_f4-{F}(V7,V3,V8), P_f4-{F}(V3,V7,V9), p2-{F}(V3,V10), P_f4-{F}(V7,V10,V8), p2-{F}(V3,V11), P_f4-{F}(V11,V7,V9) | FALSE
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #781: mergings( V25 == V17, V8 == V12, V12 == V16, V16 == V20, V20 == V24, V2 == V5, V5 == V9, V9 == V13, V13 == V21, V21 == V17, V3 == V6, V6 == V10, V10 == V14, V14 == V18, V18 == V22, V22 == V26, V4 == V7, V7 == V11, V11 == V15, V15 == V19, V19 == V23, V23 == V27; #757 ), references = 1, size of lhs = 10:
% 0.73/0.91     P_c14-{F}(V0), P_c13-{F}(V1), p7-{F}(V1,V1), P_c15-{F}(V2), P_c17-{F}(V3), p2-{F}(V3,V3), P_c16-{F}(V4), P_c18-{F}(V5), P_f5-{F}(V5,V3), P_f6-{F}(V5,V6) | FALSE
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #804: mergings( V25 == V17, V8 == V12, V12 == V16, V16 == V20, V20 == V24, V2 == V5, V5 == V9, V9 == V13, V13 == V21, V21 == V17, V3 == V6, V6 == V10, V10 == V14, V14 == V18, V18 == V22, V22 == V26, V4 == V7, V7 == V11, V11 == V15, V15 == V19, V19 == V23, V23 == V27; #758 ), references = 1, size of lhs = 10:
% 0.73/0.91     P_c14-{F}(V0), P_c13-{F}(V1), p7-{F}(V1,V1), P_c15-{F}(V2), P_c17-{F}(V3), p2-{F}(V3,V3), P_c16-{F}(V4), P_c18-{F}(V5), P_f5-{F}(V5,V3), P_f6-{F}(V5,V6) | FALSE
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #829: mergings( V25 == V17, V8 == V12, V12 == V16, V16 == V20, V20 == V24, V2 == V5, V5 == V9, V9 == V13, V13 == V21, V21 == V17, V3 == V6, V6 == V10, V10 == V14, V14 == V18, V18 == V22, V22 == V26, V4 == V7, V7 == V11, V11 == V15, V15 == V19, V19 == V23, V23 == V28; #805 ), references = 1, size of lhs = 9:
% 0.73/0.91     P_c14-{F}(V0), P_c13-{F}(V1), p7-{F}(V1,V1), P_c15-{F}(V2), P_c17-{F}(V3), p2-{F}(V3,V3), P_c16-{F}(V4), P_c18-{F}(V5), P_f5-{F}(V5,V3) | FALSE
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #852: mergings( V25 == V17, V8 == V12, V12 == V16, V16 == V20, V20 == V24, V2 == V5, V5 == V9, V9 == V13, V13 == V21, V21 == V17, V3 == V6, V6 == V10, V10 == V14, V14 == V18, V18 == V22, V22 == V26, V4 == V7, V7 == V11, V11 == V15, V15 == V19, V19 == V23, V23 == V28; #806 ), references = 1, size of lhs = 9:
% 0.73/0.91     P_c14-{F}(V0), P_c13-{F}(V1), p7-{F}(V1,V1), P_c15-{F}(V2), P_c17-{F}(V3), p2-{F}(V3,V3), P_c16-{F}(V4), P_c18-{F}(V5), P_f5-{F}(V5,V3) | FALSE
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #854: exists( #32, #756 ), references = 1, size of lhs = 13:
% 0.73/0.91     P_c14-{F}(V0), P_c13-{F}(V1), p7-{F}(V1,V1), P_c15-{F}(V2), P_c17-{F}(V3), p2-{F}(V3,V3), P_c16-{F}(V4), P_c18-{F}(V5), P_f6-{F}(V5,V6), P_f5-{F}(V5,V7), P_f4-{F}(V7,V3,V8), p2-{F}(V3,V9), P_f4-{F}(V7,V9,V8) | FALSE
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #856: exists( #32, #853 ), references = 1, size of lhs = 10:
% 0.73/0.91     P_c14-{F}(V0), P_c13-{F}(V1), p7-{F}(V1,V1), P_c15-{F}(V2), P_c17-{F}(V3), p2-{F}(V3,V3), P_c16-{F}(V4), P_c18-{F}(V5), P_f6-{F}(V5,V6), P_f5-{F}(V5,V7) | FALSE
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #858: exists( #35, #855 ), references = 1, size of lhs = 9:
% 0.73/0.91     P_c14-{F}(V0), P_c13-{F}(V1), p7-{F}(V1,V1), P_c15-{F}(V2), P_c17-{F}(V3), p2-{F}(V3,V3), P_c16-{F}(V4), P_c18-{F}(V5), P_f5-{F}(V5,V6) | FALSE
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #860: exists( #34, #857 ), references = 1, size of lhs = 8:
% 0.73/0.91     P_c14-{F}(V0), P_c13-{F}(V1), p7-{F}(V1,V1), P_c15-{F}(V2), P_c17-{F}(V3), p2-{F}(V3,V3), P_c16-{F}(V4), P_c18-{F}(V5) | FALSE
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #862: exists( #33, #859 ), references = 1, size of lhs = 7:
% 0.73/0.91     P_c14-{F}(V0), P_c13-{F}(V1), p7-{F}(V1,V1), P_c15-{F}(V2), P_c17-{F}(V3), p2-{F}(V3,V3), P_c16-{F}(V4) | FALSE
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #864: exists( #31, #861 ), references = 1, size of lhs = 6:
% 0.73/0.91     P_c14-{F}(V0), P_c13-{F}(V1), p7-{F}(V1,V1), P_c15-{F}(V2), P_c17-{F}(V3), p2-{F}(V3,V3) | FALSE
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #869: mergings( V1 == V3, V2 == V4; #866 ), references = 1, size of lhs = 4:
% 0.73/0.91     P_c14-{F}(V0), P_c13-{F}(V1), p7-{F}(V1,V1), P_c15-{F}(V2) | FALSE
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #873: mergings( V1 == V3, V2 == V4; #870 ), references = 1, size of lhs = 3:
% 0.73/0.91     P_c14-{F}(V0), P_c13-{F}(V1), p7-{F}(V1,V1) | FALSE
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #878: mergings( V1 == V2, V2 == V3; #875 ), references = 1, size of lhs = 1:
% 0.73/0.91     P_c14-{F}(V0) | FALSE
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  #880: exists( #27, #875 ), references = 1, size of lhs = 0:
% 0.73/0.91     FALSE | FALSE
% 0.73/0.91        (used 0 times, uses = {})
% 0.73/0.91  
% 0.73/0.91  number of learnt formulas = 43
% 0.73/0.91  
% 0.73/0.91  
% 0.73/0.91  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.73/0.91  
% 0.73/0.91  randbase = 1
%------------------------------------------------------------------------------