TSTP Solution File: SYN560-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SYN560-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n027.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sat Jul 23 06:24:57 EDT 2022

% Result   : Unsatisfiable 1.10s 1.33s
% Output   : Refutation 1.10s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SYN560-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n027.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Sat Jul 23 03:23:32 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.10/1.33  GeoParameters:
% 1.10/1.33  
% 1.10/1.33  tptp_input =     1
% 1.10/1.33  tptp_output =    0
% 1.10/1.33  nonempty =       1
% 1.10/1.33  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.10/1.33  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.10/1.33  
% 1.10/1.33  
% 1.10/1.33  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.10/1.33  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.10/1.33  
% 1.10/1.33  RuleSystem INPUT:
% 1.10/1.33  
% 1.10/1.33  Initial Rules:
% 1.10/1.33  #0: input, references = 11, size of lhs = 1:
% 1.10/1.33     #-{F} V0 | p2-{T}(V0,V0)
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #1: input, references = 4, size of lhs = 4:
% 1.10/1.33     P_c9-{F}(V0), P_c10-{F}(V1), P_f3-{F}(V1,V2), p2-{F}(V0,V2) | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #2: input, references = 5, size of lhs = 8:
% 1.10/1.33     P_c9-{F}(V0), P_c10-{F}(V1), P_f3-{F}(V1,V2), P_c11-{F}(V3), P_c12-{F}(V4), P_c13-{F}(V5), P_f5-{F}(V4,V5,V6), P_f4-{F}(V6,V7) | p2-{T}(V3,V7)
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #3: input, references = 12, size of lhs = 12:
% 1.10/1.33     P_c9-{F}(V0), P_c10-{F}(V1), P_f3-{F}(V1,V2), P_c11-{F}(V3), P_c12-{F}(V4), P_c13-{F}(V5), P_f5-{F}(V4,V5,V6), P_f4-{F}(V6,V7), P_f7-{F}(V1,V8), P_f3-{F}(V8,V9), P_f4-{F}(V10,V11), P_f5-{F}(V10,V9,V12) | p2-{T}(V11,V12)
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #4: input, references = 3, size of lhs = 13:
% 1.10/1.33     P_c9-{F}(V0), P_c10-{F}(V1), P_f3-{F}(V1,V2), P_c11-{F}(V3), P_c12-{F}(V4), P_c13-{F}(V5), P_f5-{F}(V4,V5,V6), P_f4-{F}(V6,V7), P_f7-{F}(V1,V8), P_f3-{F}(V8,V9), P_f7-{F}(V10,V12), P_f7-{F}(V11,V13), p2-{F}(V10,V11) | p2-{T}(V12,V13)
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #5: input, references = 5, size of lhs = 13:
% 1.10/1.33     P_c9-{F}(V0), P_c10-{F}(V1), P_f3-{F}(V1,V2), P_c11-{F}(V3), P_c12-{F}(V4), P_c13-{F}(V5), P_f5-{F}(V4,V5,V6), P_f4-{F}(V6,V7), P_f7-{F}(V1,V8), P_f3-{F}(V8,V9), P_f3-{F}(V10,V12), P_f3-{F}(V11,V13), p2-{F}(V10,V11) | p2-{T}(V12,V13)
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #6: input, references = 5, size of lhs = 13:
% 1.10/1.33     P_c9-{F}(V0), P_c10-{F}(V1), P_f3-{F}(V1,V2), P_c11-{F}(V3), P_c12-{F}(V4), P_c13-{F}(V5), P_f5-{F}(V4,V5,V6), P_f4-{F}(V6,V7), P_f7-{F}(V1,V8), P_f3-{F}(V8,V9), P_f4-{F}(V10,V12), P_f4-{F}(V11,V13), p2-{F}(V10,V11) | p2-{T}(V12,V13)
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #7: input, references = 12, size of lhs = 12:
% 1.10/1.33     P_c9-{F}(V0), P_c10-{F}(V1), P_f3-{F}(V1,V2), P_c11-{F}(V3), P_c12-{F}(V4), P_c13-{F}(V5), P_f5-{F}(V4,V5,V6), P_f4-{F}(V6,V7), P_f7-{F}(V1,V8), P_f3-{F}(V8,V9), p2-{F}(V12,V10), p2-{F}(V12,V11) | p2-{T}(V10,V11)
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #8: input, references = 4, size of lhs = 12:
% 1.10/1.33     P_c9-{F}(V0), P_c10-{F}(V1), P_f3-{F}(V1,V2), P_c11-{F}(V3), P_c12-{F}(V4), P_c13-{F}(V5), P_f5-{F}(V4,V5,V6), P_f4-{F}(V6,V7), P_f7-{F}(V1,V8), P_f3-{F}(V8,V9), p8-{F}(V11,V10), p8-{F}(V12,V11) | p8-{T}(V12,V10)
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #9: input, references = 5, size of lhs = 16:
% 1.10/1.33     P_c9-{F}(V0), P_c10-{F}(V1), P_f3-{F}(V1,V2), P_c11-{F}(V3), P_c12-{F}(V4), P_c13-{F}(V5), P_f5-{F}(V4,V5,V6), P_f4-{F}(V6,V7), P_f7-{F}(V1,V8), P_f3-{F}(V8,V9), P_f4-{F}(V4,V10), P_f6-{F}(V0,V10,V11), P_c14-{F}(V12), P_f5-{F}(V4,V12,V13), P_f4-{F}(V13,V14), P_f6-{F}(V0,V14,V15) | p8-{T}(V11,V15)
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #10: input, references = 5, size of lhs = 19:
% 1.10/1.33     P_c9-{F}(V0), P_c10-{F}(V1), P_f3-{F}(V1,V2), P_c11-{F}(V3), P_c12-{F}(V4), P_c13-{F}(V5), P_f5-{F}(V4,V5,V6), P_f4-{F}(V6,V7), P_f7-{F}(V1,V8), P_f3-{F}(V8,V9), P_f4-{F}(V4,V10), P_f6-{F}(V0,V10,V11), P_c14-{F}(V12), P_f5-{F}(V4,V12,V13), P_f4-{F}(V13,V14), P_f6-{F}(V0,V14,V15), P_f4-{F}(V14,V16), P_f6-{F}(V0,V16,V17), p8-{F}(V11,V17) | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #11: input, references = 5, size of lhs = 21:
% 1.10/1.33     P_c9-{F}(V0), P_c10-{F}(V1), P_f3-{F}(V1,V2), P_c11-{F}(V3), P_c12-{F}(V4), P_c13-{F}(V5), P_f5-{F}(V4,V5,V6), P_f4-{F}(V6,V7), P_f7-{F}(V1,V8), P_f3-{F}(V8,V9), P_f4-{F}(V4,V10), P_f6-{F}(V0,V10,V11), P_c14-{F}(V12), P_f5-{F}(V4,V12,V13), P_f4-{F}(V13,V14), P_f6-{F}(V0,V14,V15), P_f4-{F}(V14,V16), P_f6-{F}(V0,V16,V17), p8-{F}(V19,V18), p2-{F}(V18,V20), p2-{F}(V19,V21) | p8-{T}(V21,V20)
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #12: input, references = 3, size of lhs = 22:
% 1.10/1.33     P_c9-{F}(V0), P_c10-{F}(V1), P_f3-{F}(V1,V2), P_c11-{F}(V3), P_c12-{F}(V4), P_c13-{F}(V5), P_f5-{F}(V4,V5,V6), P_f4-{F}(V6,V7), P_f7-{F}(V1,V8), P_f3-{F}(V8,V9), P_f4-{F}(V4,V10), P_f6-{F}(V0,V10,V11), P_c14-{F}(V12), P_f5-{F}(V4,V12,V13), P_f4-{F}(V13,V14), P_f6-{F}(V0,V14,V15), P_f4-{F}(V14,V16), P_f6-{F}(V0,V16,V17), p2-{F}(V18,V19), P_f5-{F}(V21,V18,V22), P_f5-{F}(V20,V19,V23), p2-{F}(V21,V20) | p2-{T}(V22,V23)
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #13: input, references = 4, size of lhs = 22:
% 1.10/1.33     P_c9-{F}(V0), P_c10-{F}(V1), P_f3-{F}(V1,V2), P_c11-{F}(V3), P_c12-{F}(V4), P_c13-{F}(V5), P_f5-{F}(V4,V5,V6), P_f4-{F}(V6,V7), P_f7-{F}(V1,V8), P_f3-{F}(V8,V9), P_f4-{F}(V4,V10), P_f6-{F}(V0,V10,V11), P_c14-{F}(V12), P_f5-{F}(V4,V12,V13), P_f4-{F}(V13,V14), P_f6-{F}(V0,V14,V15), P_f4-{F}(V14,V16), P_f6-{F}(V0,V16,V17), p2-{F}(V18,V19), P_f6-{F}(V21,V18,V22), P_f6-{F}(V20,V19,V23), p2-{F}(V21,V20) | p2-{T}(V22,V23)
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #14: input, references = 4, size of lhs = 21:
% 1.10/1.33     P_c9-{F}(V0), P_c10-{F}(V1), P_f3-{F}(V1,V2), P_c11-{F}(V3), P_c12-{F}(V4), P_c13-{F}(V5), P_f5-{F}(V4,V5,V6), P_f4-{F}(V6,V7), P_f7-{F}(V1,V8), P_f3-{F}(V8,V9), P_f4-{F}(V4,V10), P_f6-{F}(V0,V10,V11), P_c14-{F}(V12), P_f5-{F}(V4,V12,V13), P_f4-{F}(V13,V14), P_f6-{F}(V0,V14,V15), P_f4-{F}(V14,V16), P_f6-{F}(V0,V16,V17), P_f6-{F}(V18,V19,V20), P_f5-{F}(V19,V9,V21), P_f6-{F}(V18,V21,V22) | p2-{T}(V18,V2), p8-{T}(V20,V22)
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #15: input, references = 4, size of lhs = 0:
% 1.10/1.33     FALSE | EXISTS V0: P_c9-{T}(V0)
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #16: input, references = 10, size of lhs = 1:
% 1.10/1.33     #-{F} V0 | EXISTS V1: P_f3-{T}(V0,V1)
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #17: input, references = 4, size of lhs = 0:
% 1.10/1.33     FALSE | EXISTS V0: P_c10-{T}(V0)
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #18: input, references = 4, size of lhs = 0:
% 1.10/1.33     FALSE | EXISTS V0: P_c11-{T}(V0)
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #19: input, references = 13, size of lhs = 1:
% 1.10/1.33     #-{F} V0 | EXISTS V1: P_f4-{T}(V0,V1)
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #20: input, references = 8, size of lhs = 2:
% 1.10/1.33     #-{F} V0, #-{F} V1 | EXISTS V2: P_f5-{T}(V0,V1,V2)
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #21: input, references = 4, size of lhs = 0:
% 1.10/1.33     FALSE | EXISTS V0: P_c12-{T}(V0)
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #22: input, references = 4, size of lhs = 0:
% 1.10/1.33     FALSE | EXISTS V0: P_c13-{T}(V0)
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #23: input, references = 7, size of lhs = 1:
% 1.10/1.33     #-{F} V0 | EXISTS V1: P_f7-{T}(V0,V1)
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #24: input, references = 9, size of lhs = 2:
% 1.10/1.33     #-{F} V0, #-{F} V1 | EXISTS V2: P_f6-{T}(V0,V1,V2)
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #25: input, references = 4, size of lhs = 0:
% 1.10/1.33     FALSE | EXISTS V0: P_c14-{T}(V0)
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  number of initial rules = 26
% 1.10/1.33  
% 1.10/1.33  Simplifiers:
% 1.10/1.33  #26: unsound, references = 3, size of lhs = 3:
% 1.10/1.33     P_c9-{F}(V0), P_c9-{F}(V1), V0 == V1 | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #27: unsound, references = 3, size of lhs = 3:
% 1.10/1.33     P_f3-{F}(V0,V1), P_f3-{F}(V0,V3), V1 == V3 | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #28: unsound, references = 3, size of lhs = 3:
% 1.10/1.33     P_c10-{F}(V0), P_c10-{F}(V1), V0 == V1 | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #29: unsound, references = 3, size of lhs = 3:
% 1.10/1.33     P_c11-{F}(V0), P_c11-{F}(V1), V0 == V1 | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #30: unsound, references = 3, size of lhs = 3:
% 1.10/1.33     P_f4-{F}(V0,V1), P_f4-{F}(V0,V3), V1 == V3 | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #31: unsound, references = 3, size of lhs = 3:
% 1.10/1.33     P_f5-{F}(V0,V1,V2), P_f5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #32: unsound, references = 3, size of lhs = 3:
% 1.10/1.33     P_c12-{F}(V0), P_c12-{F}(V1), V0 == V1 | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #33: unsound, references = 3, size of lhs = 3:
% 1.10/1.33     P_c13-{F}(V0), P_c13-{F}(V1), V0 == V1 | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #34: unsound, references = 3, size of lhs = 3:
% 1.10/1.33     P_f7-{F}(V0,V1), P_f7-{F}(V0,V3), V1 == V3 | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #35: unsound, references = 3, size of lhs = 3:
% 1.10/1.33     P_f6-{F}(V0,V1,V2), P_f6-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #36: unsound, references = 3, size of lhs = 3:
% 1.10/1.33     P_c14-{F}(V0), P_c14-{F}(V1), V0 == V1 | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  number of simplifiers = 11
% 1.10/1.33  
% 1.10/1.33  Learnt:
% 1.10/1.33  #43: mergings( V2 == V10, V3 == V13, V4 == V12; #39 ), references = 4, size of lhs = 11:
% 1.10/1.33     P_c11-{F}(V0), P_c12-{F}(V1), P_c13-{F}(V2), P_f5-{F}(V1,V2,V3), P_f4-{F}(V3,V4), P_c9-{F}(V5), p2-{F}(V6,V5), p2-{F}(V6,V7), P_c10-{F}(V8), P_f3-{F}(V8,V7), P_f7-{F}(V8,V9) | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #48: mergings( V2 == V9, V0 == V12, V3 == V11; #44 ), references = 4, size of lhs = 10:
% 1.10/1.33     P_c11-{F}(V0), P_c12-{F}(V1), P_c13-{F}(V2), P_f5-{F}(V1,V2,V3), P_f4-{F}(V3,V4), P_c9-{F}(V5), p2-{F}(V6,V5), p2-{F}(V6,V7), P_c10-{F}(V8), P_f3-{F}(V8,V7) | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #64: mergings( V2 == V15, V3 == V16, V4 == V17, V5 == V10, V6 == V11, V7 == V12, V8 == V13, V9 == V14; #54 ), references = 1, size of lhs = 13:
% 1.10/1.33     P_c11-{F}(V0), P_c12-{F}(V1), P_c13-{F}(V2), P_f5-{F}(V1,V2,V3), P_f4-{F}(V3,V4), P_c9-{F}(V5), P_c10-{F}(V6), P_f7-{F}(V6,V7), P_f3-{F}(V6,V8), P_f3-{F}(V9,V8), p2-{F}(V10,V9), P_f3-{F}(V10,V11), p2-{F}(V11,V5) | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #74: mergings( V2 == V15, V3 == V16, V4 == V17, V5 == V10, V6 == V11, V7 == V12, V8 == V13, V9 == V14, V0 == V18; #55 ), references = 1, size of lhs = 13:
% 1.10/1.33     P_c11-{F}(V0), P_c12-{F}(V1), P_c13-{F}(V2), P_f5-{F}(V1,V2,V3), P_f4-{F}(V3,V4), P_c9-{F}(V5), P_c10-{F}(V6), P_f3-{F}(V6,V7), P_f7-{F}(V6,V8), P_f3-{F}(V9,V7), p2-{F}(V10,V9), P_f3-{F}(V10,V11), p2-{F}(V11,V5) | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #84: mergings( V2 == V14, V3 == V15, V4 == V9, V5 == V10, V6 == V11, V7 == V12, V8 == V13; #76 ), references = 2, size of lhs = 12:
% 1.10/1.33     P_c11-{F}(V0), P_c12-{F}(V1), P_c13-{F}(V2), P_f5-{F}(V1,V2,V3), P_f4-{F}(V3,V4), P_c9-{F}(V5), P_c10-{F}(V6), P_f3-{F}(V6,V7), P_f3-{F}(V8,V7), p2-{F}(V9,V8), P_f3-{F}(V9,V10), p2-{F}(V10,V5) | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #93: mergings( V2 == V14, V0 == V15, V3 == V16, V4 == V9, V5 == V10, V6 == V11, V7 == V12, V8 == V13; #75 ), references = 1, size of lhs = 12:
% 1.10/1.33     P_c11-{F}(V0), P_c12-{F}(V1), P_c13-{F}(V2), P_f5-{F}(V1,V2,V3), P_f4-{F}(V3,V4), P_c9-{F}(V5), P_c10-{F}(V6), P_f3-{F}(V6,V7), P_f3-{F}(V8,V7), p2-{F}(V9,V8), P_f3-{F}(V9,V10), p2-{F}(V10,V5) | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #110: mergings( V2 == V0, V0 == V7, V3 == V8, V8 == V13, V4 == V9, V9 == V14, V5 == V10, V6 == V11, V7 == V12, V10 == V15, V11 == V16, V12 == V17; #96 ), references = 1, size of lhs = 8:
% 1.10/1.33     P_c10-{F}(V0), P_c9-{F}(V0), P_c11-{F}(V1), P_f3-{F}(V1,V1), P_c12-{F}(V2), P_c13-{F}(V3), P_f5-{F}(V2,V3,V4), P_f4-{F}(V4,V0) | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #123: mergings( V2 == V0, V0 == V7, V3 == V8, V8 == V13, V4 == V9, V9 == V14, V5 == V10, V6 == V11, V7 == V12, V10 == V15, V11 == V16, V12 == V17; #97 ), references = 1, size of lhs = 8:
% 1.10/1.33     P_c10-{F}(V0), P_c9-{F}(V0), P_c11-{F}(V1), P_f3-{F}(V1,V1), P_c12-{F}(V2), P_c13-{F}(V3), P_f5-{F}(V2,V3,V4), P_f4-{F}(V4,V0) | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #172: mergings( V2 == V10, V10 == V18, V18 == V26, V26 == V37, V3 == V11, V4 == V12, V11 == V19, V12 == V20, V19 == V27, V20 == V28, V27 == V38, V28 == V39, V5 == V13, V13 == V21, V21 == V29, V29 == V34, V6 == V14, V14 == V22, V22 == V30, V30 == V35, V7 == V15, V15 == V23, V23 == V31, V31 == V36, V8 == V16, V9 == V17, V16 == V24, V17 == V25, V24 == V32, V25 == V33; #140 ), references = 1, size of lhs = 15:
% 1.10/1.33     P_c11-{F}(V0), P_c12-{F}(V1), P_c13-{F}(V2), P_f5-{F}(V1,V2,V3), P_c9-{F}(V4), P_c10-{F}(V5), P_f7-{F}(V5,V6), P_f3-{F}(V6,V7), P_f3-{F}(V5,V8), p2-{F}(V9,V4), P_f4-{F}(V10,V9), P_f5-{F}(V10,V7,V11), P_f5-{F}(V12,V7,V11), P_f4-{F}(V12,V13), p2-{F}(V13,V8) | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #204: mergings( V2 == V10, V10 == V18, V18 == V26, V26 == V37, V3 == V11, V4 == V12, V11 == V19, V12 == V20, V19 == V27, V20 == V28, V27 == V38, V28 == V39, V5 == V13, V13 == V21, V21 == V29, V29 == V34, V6 == V14, V14 == V22, V22 == V30, V30 == V35, V7 == V15, V15 == V23, V23 == V31, V31 == V36, V8 == V16, V9 == V17, V16 == V24, V17 == V25, V24 == V32, V25 == V33, V32 == V40; #141 ), references = 1, size of lhs = 15:
% 1.10/1.33     P_c11-{F}(V0), P_c12-{F}(V1), P_c13-{F}(V2), P_f5-{F}(V1,V2,V3), P_c9-{F}(V4), P_c10-{F}(V5), P_f3-{F}(V5,V6), P_f7-{F}(V5,V7), P_f3-{F}(V7,V8), p2-{F}(V9,V4), P_f4-{F}(V10,V9), P_f5-{F}(V10,V8,V11), P_f5-{F}(V12,V8,V11), P_f4-{F}(V12,V13), p2-{F}(V13,V6) | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #217: mergings( V2 == V13, V3 == V17, V4 == V16, V5 == V10, V6 == V11, V7 == V12; #208 ), references = 1, size of lhs = 12:
% 1.10/1.33     P_c11-{F}(V0), P_c12-{F}(V1), P_c13-{F}(V2), P_f5-{F}(V1,V2,V3), P_c9-{F}(V4), P_c10-{F}(V5), P_f7-{F}(V5,V6), P_f3-{F}(V6,V7), P_f5-{F}(V8,V7,V4), P_f4-{F}(V8,V9), p2-{F}(V9,V10), P_f3-{F}(V5,V10) | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #225: mergings( V2 == V13, V3 == V17, V4 == V16, V5 == V10, V6 == V11, V7 == V12, V8 == V18; #209 ), references = 1, size of lhs = 12:
% 1.10/1.33     P_c11-{F}(V0), P_c12-{F}(V1), P_c13-{F}(V2), P_f5-{F}(V1,V2,V3), P_c9-{F}(V4), P_c10-{F}(V5), P_f3-{F}(V5,V6), P_f7-{F}(V5,V7), P_f3-{F}(V7,V8), P_f5-{F}(V9,V8,V4), P_f4-{F}(V9,V10), p2-{F}(V10,V6) | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #232: mergings( V2 == V13, V3 == V16, V4 == V17, V5 == V10, V6 == V11, V7 == V12; #210 ), references = 1, size of lhs = 14:
% 1.10/1.33     P_c11-{F}(V0), P_c12-{F}(V1), P_c13-{F}(V2), P_f5-{F}(V1,V2,V3), P_c9-{F}(V4), P_c10-{F}(V5), P_f7-{F}(V5,V6), P_f3-{F}(V6,V7), P_f5-{F}(V8,V7,V4), P_f4-{F}(V8,V9), P_f3-{F}(V5,V10), P_f3-{F}(V11,V9), p2-{F}(V11,V12), P_f3-{F}(V12,V10) | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #254: mergings( V0 == V28, V1 == V29, V3 == V23, V4 == V24, V5 == V25, V6 == V26, V7 == V27; #245 ), references = 2, size of lhs = 22:
% 1.10/1.33     P_c14-{F}(V0), P_c11-{F}(V1), P_c12-{F}(V2), P_f4-{F}(V2,V3), P_f5-{F}(V2,V0,V4), P_f4-{F}(V4,V5), P_f4-{F}(V5,V6), P_c13-{F}(V7), P_f5-{F}(V2,V7,V8), P_f4-{F}(V8,V9), P_c9-{F}(V10), P_f6-{F}(V10,V3,V11), P_f6-{F}(V10,V5,V12), P_f6-{F}(V10,V6,V13), p2-{F}(V14,V10), P_c10-{F}(V15), P_f7-{F}(V15,V16), P_f3-{F}(V16,V17), P_f3-{F}(V15,V18), P_f6-{F}(V14,V19,V20), P_f5-{F}(V19,V17,V21), P_f6-{F}(V14,V21,V22) | p8-{T}(V20,V22)
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #263: mergings( V0 == V28, V1 == V29, V3 == V23, V4 == V24, V5 == V25, V6 == V26, V7 == V27, V8 == V30; #246 ), references = 1, size of lhs = 22:
% 1.10/1.33     P_c14-{F}(V0), P_c11-{F}(V1), P_c12-{F}(V2), P_f4-{F}(V2,V3), P_f5-{F}(V2,V0,V4), P_f4-{F}(V4,V5), P_f4-{F}(V5,V6), P_c13-{F}(V7), P_f5-{F}(V2,V7,V8), P_f4-{F}(V8,V9), P_c9-{F}(V10), P_f6-{F}(V10,V3,V11), P_f6-{F}(V10,V5,V12), P_f6-{F}(V10,V6,V13), p2-{F}(V14,V10), P_c10-{F}(V15), P_f3-{F}(V15,V16), P_f7-{F}(V15,V17), P_f3-{F}(V17,V18), P_f6-{F}(V14,V19,V20), P_f5-{F}(V19,V18,V21), P_f6-{F}(V14,V21,V22) | p8-{T}(V20,V22)
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #380: mergings( V13 == V21, V21 == V39, V39 == V49, V49 == V59, V59 == V69, V69 == V87, V87 == V105, V17 == V22, V20 == V23, V22 == V40, V23 == V41, V40 == V50, V41 == V51, V50 == V60, V51 == V61, V60 == V70, V61 == V71, V70 == V88, V71 == V89, V88 == V106, V89 == V107, V4 == V24, V24 == V42, V42 == V52, V52 == V62, V62 == V72, V72 == V90, V90 == V108, V5 == V25, V6 == V31, V25 == V43, V43 == V53, V53 == V63, V63 == V73, V31 == V79, V73 == V91, V79 == V97, V91 == V109, V97 == V115, V10 == V26, V11 == V27, V12 == V28, V26 == V44, V27 == V45, V28 == V46, V44 == V54, V45 == V55, V46 == V56, V54 == V64, V55 == V65, V56 == V66, V64 == V74, V65 == V75, V66 == V76, V74 == V92, V75 == V93, V76 == V94, V92 == V110, V93 == V111, V94 == V112, V18 == V29, V19 == V30, V29 == V47, V30 == V48, V47 == V57, V48 == V58, V57 == V67, V58 == V68, V67 == V77, V68 == V78, V77 == V95, V78 == V96, V95 == V113, V96 == V114, V14 == V32, V32 == V80, V80 == V98, V98 == V116, V3 == V33, V7 == V34, V8 == V35, V9 == V37, V15 == V36, V16 == V38, V33 == V81, V34 == V82, V35 == V83, V37 == V85, V36 == V84, V38 == V86, V81 == V99, V82 == V100, V83 == V101, V85 == V103, V84 == V102, V86 == V104, V99 == V117, V100 == V118, V101 == V119, V103 == V121, V102 == V120, V104 == V122; #277 ), references = 1, size of lhs = 29:
% 1.10/1.33     P_c9-{F}(V0), p2-{F}(V1,V0), P_c10-{F}(V2), P_f3-{F}(V2,V3), P_c11-{F}(V4), P_c12-{F}(V5), P_c13-{F}(V6), P_f5-{F}(V5,V6,V7), P_f4-{F}(V7,V8), P_f7-{F}(V2,V9), P_f3-{F}(V9,V10), P_f4-{F}(V5,V11), P_f6-{F}(V0,V11,V12), P_c14-{F}(V13), P_f5-{F}(V5,V13,V14), P_f4-{F}(V14,V15), P_f6-{F}(V0,V15,V16), P_f4-{F}(V15,V17), P_f6-{F}(V0,V17,V18), p2-{F}(V1,V19), p2-{F}(V20,V12), p2-{F}(V21,V20), p8-{F}(V21,V22), P_f6-{F}(V1,V23,V22), P_f5-{F}(V23,V10,V24), p2-{F}(V24,V25), P_f6-{F}(V19,V25,V26), p2-{F}(V26,V27), p2-{F}(V27,V18) | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #484: mergings( V13 == V22, V22 == V40, V40 == V50, V50 == V60, V60 == V70, V70 == V88, V88 == V106, V18 == V23, V21 == V24, V23 == V41, V24 == V42, V41 == V51, V42 == V52, V51 == V61, V52 == V62, V61 == V71, V62 == V72, V71 == V89, V72 == V90, V89 == V107, V90 == V108, V4 == V25, V25 == V43, V43 == V53, V53 == V63, V63 == V73, V73 == V91, V91 == V109, V5 == V26, V6 == V32, V26 == V44, V44 == V54, V54 == V64, V64 == V74, V32 == V80, V74 == V92, V80 == V98, V92 == V110, V98 == V116, V10 == V27, V11 == V28, V12 == V29, V27 == V45, V28 == V46, V29 == V47, V45 == V55, V46 == V56, V47 == V57, V55 == V65, V56 == V66, V57 == V67, V65 == V75, V66 == V76, V67 == V77, V75 == V93, V76 == V94, V77 == V95, V93 == V111, V94 == V112, V95 == V113, V19 == V30, V20 == V31, V30 == V48, V31 == V49, V48 == V58, V49 == V59, V58 == V68, V59 == V69, V68 == V78, V69 == V79, V78 == V96, V79 == V97, V96 == V114, V97 == V115, V14 == V33, V33 == V81, V81 == V99, V99 == V117, V3 == V34, V7 == V35, V8 == V36, V9 == V38, V15 == V37, V16 == V39, V34 == V82, V35 == V83, V36 == V84, V38 == V86, V37 == V85, V39 == V87, V82 == V100, V83 == V101, V84 == V102, V86 == V104, V85 == V103, V87 == V105, V100 == V118, V101 == V119, V102 == V120, V104 == V122, V103 == V121, V105 == V123; #381 ), references = 1, size of lhs = 29:
% 1.10/1.33     P_c9-{F}(V0), p2-{F}(V1,V0), P_c10-{F}(V2), P_f3-{F}(V2,V3), P_c11-{F}(V4), P_c12-{F}(V5), P_c13-{F}(V6), P_f5-{F}(V5,V6,V7), P_f4-{F}(V7,V8), P_f7-{F}(V2,V9), P_f3-{F}(V9,V10), P_f4-{F}(V5,V11), P_f6-{F}(V0,V11,V12), P_c14-{F}(V13), P_f5-{F}(V5,V13,V14), P_f4-{F}(V14,V15), P_f6-{F}(V0,V15,V16), P_f4-{F}(V15,V17), P_f6-{F}(V0,V17,V18), p2-{F}(V1,V19), p2-{F}(V20,V12), p2-{F}(V21,V20), p8-{F}(V21,V22), P_f6-{F}(V1,V23,V22), P_f5-{F}(V23,V10,V24), p2-{F}(V24,V25), P_f6-{F}(V19,V25,V26), p2-{F}(V26,V27), p2-{F}(V27,V18) | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #590: mergings( V46 == V56, V56 == V66, V66 == V0, V3 == V27, V4 == V30, V27 == V31, V30 == V32, V31 == V47, V32 == V48, V47 == V57, V48 == V58, V57 == V67, V58 == V68, V67 == V76, V68 == V77, V76 == V91, V77 == V92, V91 == V106, V92 == V107, V5 == V17, V17 == V33, V33 == V49, V49 == V59, V59 == V69, V69 == V78, V78 == V93, V93 == V108, V21 == V44, V44 == V89, V89 == V104, V104 == V119, V6 == V18, V12 == V19, V18 == V34, V19 == V40, V34 == V50, V50 == V60, V60 == V70, V70 == V79, V40 == V85, V79 == V94, V85 == V100, V94 == V109, V100 == V115, V7 == V22, V8 == V23, V9 == V24, V22 == V35, V23 == V36, V24 == V37, V35 == V51, V36 == V52, V37 == V53, V51 == V61, V52 == V62, V53 == V63, V61 == V71, V62 == V72, V63 == V73, V71 == V80, V72 == V81, V73 == V82, V80 == V95, V81 == V96, V82 == V97, V95 == V110, V96 == V111, V97 == V112, V10 == V28, V11 == V29, V28 == V38, V29 == V39, V38 == V54, V39 == V55, V54 == V64, V55 == V65, V64 == V74, V65 == V75, V74 == V83, V75 == V84, V83 == V98, V84 == V99, V98 == V113, V99 == V114, V13 == V25, V25 == V41, V26 == V45, V41 == V86, V45 == V90, V86 == V101, V90 == V105, V101 == V116, V105 == V120, V14 == V16, V15 == V20, V16 == V42, V20 == V43, V42 == V87, V43 == V88, V87 == V102, V88 == V103, V102 == V117, V103 == V118; #486 ), references = 3, size of lhs = 26:
% 1.10/1.33     P_c9-{F}(V0), p2-{F}(V0,V0), P_c10-{F}(V1), P_f3-{F}(V1,V2), P_c11-{F}(V3), P_c12-{F}(V4), P_c13-{F}(V5), P_f5-{F}(V4,V5,V6), P_f4-{F}(V6,V7), P_f7-{F}(V1,V8), P_f3-{F}(V8,V9), P_f4-{F}(V4,V10), P_f6-{F}(V0,V10,V11), P_c14-{F}(V12), P_f5-{F}(V4,V12,V13), P_f4-{F}(V13,V14), P_f4-{F}(V14,V15), P_f6-{F}(V0,V15,V16), p2-{F}(V0,V17), p2-{F}(V11,V18), p2-{F}(V18,V11), P_f5-{F}(V14,V9,V19), p2-{F}(V19,V20), P_f6-{F}(V17,V20,V21), p2-{F}(V21,V22), p2-{F}(V22,V16) | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #622: mergings( V3 == V12, V12 == V22, V4 == V13, V5 == V14, V13 == V23, V14 == V24, V6 == V15, V15 == V25, V32 == V35, V7 == V16, V16 == V26, V8 == V17, V9 == V18, V10 == V19, V17 == V27, V18 == V28, V19 == V29, V11 == V20, V1 == V21, V20 == V30; #601 ), references = 1, size of lhs = 23:
% 1.10/1.33     P_c9-{F}(V0), p2-{F}(V0,V0), P_c10-{F}(V1), P_f3-{F}(V1,V2), P_c11-{F}(V3), P_c12-{F}(V4), P_c13-{F}(V5), P_f5-{F}(V4,V5,V6), P_f4-{F}(V6,V7), P_f7-{F}(V1,V8), P_f3-{F}(V8,V9), P_f4-{F}(V4,V10), P_f6-{F}(V0,V10,V11), p2-{F}(V11,V11), P_c14-{F}(V12), P_f5-{F}(V4,V12,V13), P_f4-{F}(V13,V14), P_f4-{F}(V14,V11), P_f6-{F}(V0,V11,V15), p2-{F}(V0,V16), P_f6-{F}(V16,V11,V17), p2-{F}(V17,V18), p2-{F}(V18,V15) | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #638: exists( #24, #632 ), references = 2, size of lhs = 21:
% 1.10/1.33     P_c9-{F}(V0), p2-{F}(V0,V0), P_c10-{F}(V1), P_f3-{F}(V1,V2), P_c11-{F}(V3), P_c12-{F}(V4), P_c13-{F}(V5), P_f5-{F}(V4,V5,V6), P_f4-{F}(V6,V7), P_f7-{F}(V1,V8), P_f3-{F}(V8,V9), P_f4-{F}(V4,V10), P_f6-{F}(V0,V10,V11), P_c14-{F}(V12), P_f5-{F}(V4,V12,V13), P_f4-{F}(V13,V14), P_f4-{F}(V14,V15), p2-{F}(V11,V16), p2-{F}(V16,V11), P_f5-{F}(V14,V9,V17), p2-{F}(V17,V15) | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #662: mergings( V3 == V12, V12 == V22, V4 == V13, V5 == V14, V13 == V23, V14 == V24, V6 == V15, V15 == V25, V35 == V36, V7 == V16, V16 == V26, V8 == V17, V9 == V18, V10 == V19, V17 == V27, V18 == V28, V19 == V29, V11 == V20, V1 == V21, V20 == V30; #641 ), references = 3, size of lhs = 20:
% 1.10/1.33     P_c9-{F}(V0), p2-{F}(V0,V0), P_c10-{F}(V1), P_f3-{F}(V1,V2), P_c11-{F}(V3), P_c12-{F}(V4), P_c13-{F}(V5), P_f5-{F}(V4,V5,V6), P_f4-{F}(V6,V7), P_f7-{F}(V1,V8), P_f3-{F}(V8,V9), P_f4-{F}(V4,V10), P_f6-{F}(V0,V10,V11), P_c14-{F}(V12), P_f5-{F}(V4,V12,V13), P_f4-{F}(V13,V14), P_f4-{F}(V14,V15), p2-{F}(V15,V15), p2-{F}(V11,V16), p2-{F}(V16,V11) | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #706: mergings( V2 == V12, V12 == V22, V22 == V32, V32 == V42, V3 == V13, V4 == V14, V13 == V23, V14 == V24, V23 == V33, V24 == V34, V33 == V43, V34 == V44, V5 == V15, V15 == V25, V25 == V35, V35 == V45, V6 == V16, V16 == V26, V26 == V36, V36 == V46, V7 == V17, V8 == V18, V9 == V19, V17 == V27, V18 == V28, V19 == V29, V27 == V37, V28 == V38, V29 == V39, V37 == V47, V38 == V48, V39 == V49, V10 == V20, V11 == V21, V20 == V30, V21 == V31, V30 == V40, V31 == V41, V40 == V50; #666 ), references = 1, size of lhs = 22:
% 1.10/1.33     P_c9-{F}(V0), p2-{F}(V0,V0), P_c10-{F}(V1), P_f3-{F}(V1,V2), P_c11-{F}(V3), P_c12-{F}(V4), P_c13-{F}(V5), P_f5-{F}(V4,V5,V6), P_f4-{F}(V6,V7), P_f7-{F}(V1,V8), P_f3-{F}(V8,V9), P_f4-{F}(V4,V10), P_f6-{F}(V0,V10,V11), P_f4-{F}(V12,V11), p2-{F}(V12,V13), P_f4-{F}(V13,V14), P_c14-{F}(V15), P_f5-{F}(V4,V15,V16), P_f4-{F}(V16,V17), P_f4-{F}(V18,V14), p2-{F}(V18,V19), P_f4-{F}(V19,V11) | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #739: mergings( V2 == V10, V10 == V18, V18 == V26, V26 == V34, V3 == V11, V4 == V12, V11 == V19, V12 == V20, V19 == V27, V20 == V28, V27 == V35, V28 == V36, V5 == V13, V13 == V21, V21 == V29, V29 == V37, V6 == V14, V14 == V22, V22 == V30, V30 == V38, V7 == V15, V15 == V23, V23 == V31, V31 == V39, V8 == V16, V9 == V17, V16 == V24, V17 == V25, V24 == V32, V25 == V33, V32 == V40; #707 ), references = 1, size of lhs = 20:
% 1.10/1.33     P_c9-{F}(V0), p2-{F}(V0,V0), P_c10-{F}(V1), P_f3-{F}(V1,V2), P_c11-{F}(V3), P_c12-{F}(V4), P_c13-{F}(V5), P_f5-{F}(V4,V5,V6), P_f7-{F}(V1,V7), P_f3-{F}(V7,V8), P_f4-{F}(V4,V9), P_f6-{F}(V0,V9,V10), P_f4-{F}(V11,V10), p2-{F}(V11,V12), P_f4-{F}(V12,V13), P_c14-{F}(V14), P_f5-{F}(V4,V14,V6), P_f4-{F}(V15,V13), p2-{F}(V15,V16), P_f4-{F}(V16,V10) | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #745: exists( #19, #743 ), references = 2, size of lhs = 18:
% 1.10/1.33     P_c9-{F}(V0), p2-{F}(V0,V0), P_c10-{F}(V1), P_f3-{F}(V1,V2), P_c11-{F}(V3), P_c12-{F}(V4), P_c13-{F}(V5), P_f5-{F}(V4,V5,V6), P_f4-{F}(V6,V7), P_f7-{F}(V1,V8), P_f3-{F}(V8,V9), P_f4-{F}(V4,V10), P_f6-{F}(V0,V10,V11), P_c14-{F}(V12), P_f5-{F}(V4,V12,V13), P_f4-{F}(V13,V14), p2-{F}(V11,V15), p2-{F}(V15,V11) | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #747: exists( #19, #744 ), references = 2, size of lhs = 16:
% 1.10/1.33     P_c9-{F}(V0), p2-{F}(V0,V0), P_c10-{F}(V1), P_f3-{F}(V1,V2), P_c11-{F}(V3), P_c12-{F}(V4), P_c13-{F}(V5), P_f5-{F}(V4,V5,V6), P_f7-{F}(V1,V7), P_f3-{F}(V7,V8), P_f4-{F}(V4,V9), P_f6-{F}(V0,V9,V10), P_c14-{F}(V11), P_f5-{F}(V4,V11,V6), p2-{F}(V10,V12), p2-{F}(V12,V10) | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #750: exists( #24, #748 ), references = 2, size of lhs = 13:
% 1.10/1.33     P_c9-{F}(V0), p2-{F}(V0,V0), P_c10-{F}(V1), P_f3-{F}(V1,V2), P_c11-{F}(V3), P_c12-{F}(V4), P_c13-{F}(V5), P_f5-{F}(V4,V5,V6), P_f7-{F}(V1,V7), P_f3-{F}(V7,V8), P_f4-{F}(V4,V9), P_c14-{F}(V10), P_f5-{F}(V4,V10,V6) | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #752: exists( #16, #750 ), references = 1, size of lhs = 12:
% 1.10/1.33     P_c9-{F}(V0), p2-{F}(V0,V0), P_c10-{F}(V1), P_f3-{F}(V1,V2), P_c11-{F}(V3), P_c12-{F}(V4), P_c13-{F}(V5), P_f5-{F}(V4,V5,V6), P_f7-{F}(V1,V7), P_f4-{F}(V4,V8), P_c14-{F}(V9), P_f5-{F}(V4,V9,V6) | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #754: exists( #23, #751 ), references = 1, size of lhs = 11:
% 1.10/1.33     P_c9-{F}(V0), p2-{F}(V0,V0), P_c10-{F}(V1), P_f3-{F}(V1,V2), P_c11-{F}(V3), P_c12-{F}(V4), P_c13-{F}(V5), P_f5-{F}(V4,V5,V6), P_f4-{F}(V4,V7), P_c14-{F}(V8), P_f5-{F}(V4,V8,V6) | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #756: exists( #16, #753 ), references = 1, size of lhs = 10:
% 1.10/1.33     P_c9-{F}(V0), p2-{F}(V0,V0), P_c10-{F}(V1), P_c11-{F}(V2), P_c12-{F}(V3), P_c13-{F}(V4), P_f5-{F}(V3,V4,V5), P_f4-{F}(V3,V6), P_c14-{F}(V7), P_f5-{F}(V3,V7,V5) | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #758: exists( #20, #755 ), references = 1, size of lhs = 8:
% 1.10/1.33     P_c9-{F}(V0), p2-{F}(V0,V0), P_c10-{F}(V1), P_c11-{F}(V2), P_c12-{F}(V3), P_c13-{F}(V4), P_c14-{F}(V4), P_f4-{F}(V3,V5) | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #760: exists( #19, #757 ), references = 1, size of lhs = 7:
% 1.10/1.33     P_c9-{F}(V0), p2-{F}(V0,V0), P_c10-{F}(V1), P_c11-{F}(V2), P_c12-{F}(V3), P_c13-{F}(V4), P_c14-{F}(V4) | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #776: exists( #24, #771 ), references = 1, size of lhs = 15:
% 1.10/1.33     P_c9-{F}(V0), p2-{F}(V0,V0), P_c10-{F}(V1), P_f3-{F}(V1,V2), P_c11-{F}(V3), P_c12-{F}(V4), P_c13-{F}(V5), P_f5-{F}(V4,V5,V6), P_f4-{F}(V6,V7), P_f7-{F}(V1,V8), P_f3-{F}(V8,V9), P_f4-{F}(V4,V10), P_c14-{F}(V11), P_f5-{F}(V4,V11,V12), P_f4-{F}(V12,V13) | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #777: exists( #24, #772 ), references = 1, size of lhs = 17:
% 1.10/1.33     P_c9-{F}(V0), p2-{F}(V0,V0), P_c10-{F}(V1), P_f3-{F}(V1,V2), P_c11-{F}(V3), P_c12-{F}(V4), P_c13-{F}(V5), P_f5-{F}(V4,V5,V6), P_f4-{F}(V6,V7), P_f7-{F}(V1,V8), P_f3-{F}(V8,V9), P_f4-{F}(V4,V10), P_c14-{F}(V11), P_f5-{F}(V4,V11,V12), P_f4-{F}(V12,V13), P_f4-{F}(V13,V14), p2-{F}(V14,V14) | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #789: mergings( V3 == V14, V4 == V15, V5 == V16, V6 == V17, V7 == V18, V8 == V19, V9 == V20, V10 == V21, V11 == V22, V12 == V23, V13 == V24; #775 ), references = 1, size of lhs = 15:
% 1.10/1.33     P_c9-{F}(V0), P_c10-{F}(V1), P_f3-{F}(V1,V2), P_c11-{F}(V3), P_c12-{F}(V4), P_f4-{F}(V4,V5), P_f4-{F}(V5,V5), P_c13-{F}(V6), P_f5-{F}(V4,V6,V7), P_f4-{F}(V7,V8), P_f7-{F}(V1,V9), P_f3-{F}(V9,V10), P_c14-{F}(V11), P_f5-{F}(V4,V11,V12), P_f4-{F}(V12,V5) | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #791: exists( #19, #773 ), references = 1, size of lhs = 14:
% 1.10/1.33     P_c9-{F}(V0), p2-{F}(V0,V0), P_c10-{F}(V1), P_f3-{F}(V1,V2), P_c11-{F}(V3), P_c12-{F}(V4), P_c13-{F}(V5), P_f5-{F}(V4,V5,V6), P_f4-{F}(V6,V7), P_f7-{F}(V1,V8), P_f3-{F}(V8,V9), P_f4-{F}(V4,V10), P_c14-{F}(V11), P_f5-{F}(V4,V11,V12) | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #793: exists( #20, #790 ), references = 2, size of lhs = 13:
% 1.10/1.33     P_c9-{F}(V0), p2-{F}(V0,V0), P_c10-{F}(V1), P_f3-{F}(V1,V2), P_c11-{F}(V3), P_c12-{F}(V4), P_c13-{F}(V5), P_f5-{F}(V4,V5,V6), P_f4-{F}(V6,V7), P_f7-{F}(V1,V8), P_f3-{F}(V8,V9), P_f4-{F}(V4,V10), P_c14-{F}(V11) | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #796: exists( #16, #793 ), references = 1, size of lhs = 12:
% 1.10/1.33     P_c9-{F}(V0), p2-{F}(V0,V0), P_c10-{F}(V1), P_f3-{F}(V1,V2), P_c11-{F}(V3), P_c12-{F}(V4), P_c13-{F}(V5), P_f5-{F}(V4,V5,V6), P_f4-{F}(V6,V7), P_f7-{F}(V1,V8), P_f4-{F}(V4,V9), P_c14-{F}(V10) | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #798: exists( #23, #794 ), references = 1, size of lhs = 11:
% 1.10/1.33     P_c9-{F}(V0), p2-{F}(V0,V0), P_c10-{F}(V1), P_f3-{F}(V1,V2), P_c11-{F}(V3), P_c12-{F}(V4), P_c13-{F}(V5), P_f5-{F}(V4,V5,V6), P_f4-{F}(V6,V7), P_f4-{F}(V4,V8), P_c14-{F}(V9) | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #800: exists( #16, #797 ), references = 2, size of lhs = 10:
% 1.10/1.33     P_c9-{F}(V0), p2-{F}(V0,V0), P_c10-{F}(V1), P_c11-{F}(V2), P_c12-{F}(V3), P_c13-{F}(V4), P_f5-{F}(V3,V4,V5), P_f4-{F}(V5,V6), P_f4-{F}(V3,V7), P_c14-{F}(V8) | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #804: exists( #19, #800 ), references = 1, size of lhs = 9:
% 1.10/1.33     P_c9-{F}(V0), p2-{F}(V0,V0), P_c10-{F}(V1), P_c11-{F}(V2), P_c12-{F}(V3), P_c13-{F}(V4), P_f5-{F}(V3,V4,V5), P_f4-{F}(V3,V6), P_c14-{F}(V7) | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #806: exists( #20, #801 ), references = 1, size of lhs = 8:
% 1.10/1.33     P_c9-{F}(V0), p2-{F}(V0,V0), P_c10-{F}(V1), P_c11-{F}(V2), P_c12-{F}(V3), P_c13-{F}(V4), P_f4-{F}(V3,V5), P_c14-{F}(V6) | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #808: exists( #19, #805 ), references = 1, size of lhs = 7:
% 1.10/1.33     P_c9-{F}(V0), p2-{F}(V0,V0), P_c10-{F}(V1), P_c11-{F}(V2), P_c12-{F}(V3), P_c13-{F}(V4), P_c14-{F}(V5) | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #810: exists( #25, #807 ), references = 1, size of lhs = 6:
% 1.10/1.33     P_c9-{F}(V0), p2-{F}(V0,V0), P_c10-{F}(V1), P_c11-{F}(V2), P_c12-{F}(V3), P_c13-{F}(V4) | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #812: exists( #22, #809 ), references = 1, size of lhs = 5:
% 1.10/1.33     P_c9-{F}(V0), p2-{F}(V0,V0), P_c10-{F}(V1), P_c11-{F}(V2), P_c12-{F}(V3) | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #814: exists( #21, #811 ), references = 1, size of lhs = 4:
% 1.10/1.33     P_c9-{F}(V0), p2-{F}(V0,V0), P_c10-{F}(V1), P_c11-{F}(V2) | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #816: exists( #18, #813 ), references = 1, size of lhs = 3:
% 1.10/1.33     P_c9-{F}(V0), p2-{F}(V0,V0), P_c10-{F}(V1) | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #818: exists( #17, #815 ), references = 1, size of lhs = 2:
% 1.10/1.33     P_c9-{F}(V0), p2-{F}(V0,V0) | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  #821: exists( #15, #819 ), references = 1, size of lhs = 0:
% 1.10/1.33     FALSE | FALSE
% 1.10/1.33        (used 0 times, uses = {})
% 1.10/1.33  
% 1.10/1.33  number of learnt formulas = 48
% 1.10/1.33  
% 1.10/1.33  
% 1.10/1.33  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.10/1.33  
% 1.10/1.33  randbase = 1
%------------------------------------------------------------------------------