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

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%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : NUN062+1 : TPTP v8.1.0. Bugfixed v7.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n029.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 06:13:41 EDT 2022

% Result   : Theorem 24.79s 25.01s
% Output   : Refutation 24.79s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUN062+1 : TPTP v8.1.0. Bugfixed v7.4.0.
% 0.03/0.13  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34  % Computer : n029.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Fri Jul 22 08:56:10 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 24.79/25.01  GeoParameters:
% 24.79/25.01  
% 24.79/25.01  tptp_input =     1
% 24.79/25.01  tptp_output =    0
% 24.79/25.01  nonempty =       1
% 24.79/25.01  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 24.79/25.01  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 24.79/25.01  
% 24.79/25.01  
% 24.79/25.01  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 24.79/25.01  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 24.79/25.01  
% 24.79/25.01  RuleSystem INPUT:
% 24.79/25.01  
% 24.79/25.01  Initial Rules:
% 24.79/25.01  #0: input, references = 3, size of lhs = 0:
% 24.79/25.01     FALSE | EXISTS V0: pppp0-{T}(V0)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #1: input, references = 3, size of lhs = 2:
% 24.79/25.01     pppp0-{F}(V0), id-{F}(V1,V0) | r1-{T}(V1)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #2: input, references = 29, size of lhs = 2:
% 24.79/25.01     pppp0-{F}(V0), r1-{F}(V1) | id-{T}(V1,V0)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #3: input, references = 4, size of lhs = 1:
% 24.79/25.01     #-{F} V0 | EXISTS V1: pppp1-{T}(V1,V0)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #4: input, references = 9, size of lhs = 2:
% 24.79/25.01     pppp1-{F}(V0,V1), id-{F}(V2,V0) | r2-{T}(V1,V2)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #5: input, references = 3, size of lhs = 2:
% 24.79/25.01     pppp1-{F}(V0,V1), r2-{F}(V1,V2) | id-{T}(V2,V0)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #6: input, references = 5, size of lhs = 2:
% 24.79/25.01     #-{F} V0, #-{F} V1 | EXISTS V2: pppp2-{T}(V2,V0,V1)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #7: input, references = 5, size of lhs = 2:
% 24.79/25.01     pppp2-{F}(V0,V1,V2), id-{F}(V3,V0) | r3-{T}(V1,V2,V3)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #8: input, references = 14, size of lhs = 2:
% 24.79/25.01     pppp2-{F}(V0,V1,V2), r3-{F}(V1,V2,V3) | id-{T}(V3,V0)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #9: input, references = 5, size of lhs = 2:
% 24.79/25.01     #-{F} V0, #-{F} V1 | EXISTS V2: pppp3-{T}(V2,V0,V1)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #10: input, references = 7, size of lhs = 2:
% 24.79/25.01     pppp3-{F}(V0,V1,V2), id-{F}(V3,V0) | r4-{T}(V1,V2,V3)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #11: input, references = 14, size of lhs = 2:
% 24.79/25.01     pppp3-{F}(V0,V1,V2), r4-{F}(V1,V2,V3) | id-{T}(V3,V0)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #12: input, references = 10, size of lhs = 1:
% 24.79/25.01     #-{F} V0 | id-{T}(V0,V0)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #13: input, references = 20, size of lhs = 1:
% 24.79/25.01     id-{F}(V0,V1) | id-{T}(V1,V0)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #14: input, references = 7, size of lhs = 2:
% 24.79/25.01     id-{F}(V0,V1), id-{F}(V2,V0) | id-{T}(V2,V1)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #15: input, references = 3, size of lhs = 2:
% 24.79/25.01     id-{F}(V0,V1), r1-{F}(V0) | r1-{T}(V1)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #16: input, references = 17, size of lhs = 2:
% 24.79/25.01     id-{F}(V0,V1), r1-{F}(V1) | r1-{T}(V0)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #17: input, references = 12, size of lhs = 3:
% 24.79/25.01     id-{F}(V0,V1), id-{F}(V3,V2), r2-{F}(V3,V0) | r2-{T}(V2,V1)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #18: input, references = 3, size of lhs = 3:
% 24.79/25.01     id-{F}(V0,V1), id-{F}(V3,V2), r2-{F}(V2,V1) | r2-{T}(V3,V0)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #19: input, references = 21, size of lhs = 4:
% 24.79/25.01     id-{F}(V0,V1), id-{F}(V3,V2), id-{F}(V5,V4), r3-{F}(V5,V3,V0) | r3-{T}(V4,V2,V1)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #20: input, references = 5, size of lhs = 4:
% 24.79/25.01     id-{F}(V0,V1), id-{F}(V3,V2), id-{F}(V5,V4), r3-{F}(V4,V2,V1) | r3-{T}(V5,V3,V0)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #21: input, references = 13, size of lhs = 4:
% 24.79/25.01     id-{F}(V0,V1), id-{F}(V3,V2), id-{F}(V5,V4), r4-{F}(V5,V3,V0) | r4-{T}(V4,V2,V1)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #22: input, references = 3, size of lhs = 4:
% 24.79/25.01     id-{F}(V0,V1), id-{F}(V3,V2), id-{F}(V5,V4), r4-{F}(V4,V2,V1) | r4-{T}(V5,V3,V0)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #23: input, references = 3, size of lhs = 2:
% 24.79/25.01     #-{F} V0, #-{F} V1 | EXISTS V2: pppp7-{T}(V2,V1,V0)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #24: input, references = 4, size of lhs = 1:
% 24.79/25.01     pppp7-{F}(V0,V1,V2) | EXISTS V3: pppp6-{T}(V0,V1,V2,V3)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #25: input, references = 3, size of lhs = 1:
% 24.79/25.01     pppp7-{F}(V0,V1,V2) | EXISTS V3: pppp5-{T}(V3,V0,V1,V2)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #26: input, references = 3, size of lhs = 1:
% 24.79/25.01     pppp6-{F}(V0,V1,V2,V3) | r3-{T}(V2,V1,V3)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #27: input, references = 6, size of lhs = 1:
% 24.79/25.01     pppp6-{F}(V0,V1,V2,V3) | r2-{T}(V3,V0)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #28: input, references = 3, size of lhs = 1:
% 24.79/25.01     pppp5-{F}(V0,V1,V2,V3) | EXISTS V4: pppp4-{T}(V0,V2,V4,V3)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #29: input, references = 3, size of lhs = 1:
% 24.79/25.01     pppp5-{F}(V0,V1,V2,V3) | id-{T}(V0,V1)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #30: input, references = 3, size of lhs = 1:
% 24.79/25.01     pppp4-{F}(V0,V1,V2,V3) | r3-{T}(V3,V2,V0)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #31: input, references = 3, size of lhs = 1:
% 24.79/25.01     pppp4-{F}(V0,V1,V2,V3) | r2-{T}(V1,V2)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #32: input, references = 3, size of lhs = 2:
% 24.79/25.01     #-{F} V0, #-{F} V1 | EXISTS V2: pppp11-{T}(V2,V1,V0)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #33: input, references = 4, size of lhs = 1:
% 24.79/25.01     pppp11-{F}(V0,V1,V2) | EXISTS V3: pppp10-{T}(V0,V1,V2,V3)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #34: input, references = 3, size of lhs = 1:
% 24.79/25.01     pppp11-{F}(V0,V1,V2) | EXISTS V3: pppp9-{T}(V3,V0,V1,V2)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #35: input, references = 4, size of lhs = 1:
% 24.79/25.01     pppp10-{F}(V0,V1,V2,V3) | r4-{T}(V2,V1,V3)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #36: input, references = 4, size of lhs = 1:
% 24.79/25.01     pppp10-{F}(V0,V1,V2,V3) | r3-{T}(V3,V2,V0)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #37: input, references = 3, size of lhs = 1:
% 24.79/25.01     pppp9-{F}(V0,V1,V2,V3) | EXISTS V4: pppp8-{T}(V0,V2,V4,V3)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #38: input, references = 3, size of lhs = 1:
% 24.79/25.01     pppp9-{F}(V0,V1,V2,V3) | id-{T}(V0,V1)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #39: input, references = 3, size of lhs = 1:
% 24.79/25.01     pppp8-{F}(V0,V1,V2,V3) | r4-{T}(V3,V2,V0)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #40: input, references = 3, size of lhs = 1:
% 24.79/25.01     pppp8-{F}(V0,V1,V2,V3) | r2-{T}(V1,V2)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #41: input, references = 6, size of lhs = 3:
% 24.79/25.01     id-{F}(V3,V2), r2-{F}(V0,V3), r2-{F}(V1,V2) | id-{T}(V0,V1)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #42: input, references = 3, size of lhs = 1:
% 24.79/25.01     #-{F} V0 | EXISTS V1: pppp13-{T}(V1,V0)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #43: input, references = 7, size of lhs = 1:
% 24.79/25.01     pppp13-{F}(V0,V1) | EXISTS V2: pppp12-{T}(V0,V1,V2)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #44: input, references = 3, size of lhs = 1:
% 24.79/25.01     pppp13-{F}(V0,V1) | id-{T}(V0,V1)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #45: input, references = 13, size of lhs = 1:
% 24.79/25.01     pppp12-{F}(V0,V1,V2) | r3-{T}(V1,V2,V0)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #46: input, references = 13, size of lhs = 1:
% 24.79/25.01     pppp12-{F}(V0,V1,V2) | r1-{T}(V2)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #47: input, references = 3, size of lhs = 1:
% 24.79/25.01     #-{F} V0 | EXISTS V1: pppp16-{T}(V0,V1)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #48: input, references = 4, size of lhs = 1:
% 24.79/25.01     pppp16-{F}(V0,V1) | EXISTS V2: pppp15-{T}(V1,V2)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #49: input, references = 4, size of lhs = 1:
% 24.79/25.01     pppp16-{F}(V0,V1) | EXISTS V2: pppp14-{T}(V2,V0,V1)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #50: input, references = 5, size of lhs = 1:
% 24.79/25.01     pppp15-{F}(V0,V1) | r1-{T}(V1)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #51: input, references = 5, size of lhs = 1:
% 24.79/25.01     pppp15-{F}(V0,V1) | id-{T}(V0,V1)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #52: input, references = 4, size of lhs = 1:
% 24.79/25.01     pppp14-{F}(V0,V1,V2) | r4-{T}(V1,V0,V2)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #53: input, references = 4, size of lhs = 1:
% 24.79/25.01     pppp14-{F}(V0,V1,V2) | r1-{T}(V0)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #54: input, references = 4, size of lhs = 1:
% 24.79/25.01     #-{F} V0 | pppp22-{T}(V0), pppp23-{T}(V0)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #55: input, references = 12, size of lhs = 1:
% 24.79/25.01     pppp22-{F}(V0) | EXISTS V1: pppp17-{T}(V0,V1)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #56: input, references = 3, size of lhs = 1:
% 24.79/25.01     pppp23-{F}(V0) | EXISTS V1: pppp19-{T}(V0,V1)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #57: input, references = 3, size of lhs = 1:
% 24.79/25.01     pppp19-{F}(V0,V1) | EXISTS V2: pppp18-{T}(V1,V2)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #58: input, references = 3, size of lhs = 1:
% 24.79/25.01     pppp19-{F}(V0,V1) | id-{T}(V0,V1)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #59: input, references = 3, size of lhs = 1:
% 24.79/25.01     pppp18-{F}(V0,V1) | r2-{T}(V1,V0)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #60: input, references = 16, size of lhs = 1:
% 24.79/25.01     pppp17-{F}(V0,V1) | r1-{T}(V1)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #61: input, references = 16, size of lhs = 1:
% 24.79/25.01     pppp17-{F}(V0,V1) | id-{T}(V0,V1)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #62: input, references = 11, size of lhs = 3:
% 24.79/25.01     id-{F}(V1,V0), r1-{F}(V1), r2-{F}(V2,V0) | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #63: input, references = 4, size of lhs = 0:
% 24.79/25.01     FALSE | EXISTS V0: pppp21-{T}(V0)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #64: input, references = 4, size of lhs = 3:
% 24.79/25.01     pppp21-{F}(V0), r3-{F}(V0,V1,V3), id-{F}(V3,V4) | EXISTS V2: pppp20-{T}(V2,V1)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #65: input, references = 5, size of lhs = 1:
% 24.79/25.01     pppp20-{F}(V0,V1) | r1-{T}(V0)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #66: input, references = 5, size of lhs = 1:
% 24.79/25.01     pppp20-{F}(V0,V1) | id-{T}(V1,V0)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  number of initial rules = 67
% 24.79/25.01  
% 24.79/25.01  Simplifiers:
% 24.79/25.01  #67: unsound, references = 3, size of lhs = 3:
% 24.79/25.01     pppp0-{F}(V0), pppp0-{F}(V1), V0 == V1 | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #68: unsound, references = 3, size of lhs = 3:
% 24.79/25.01     pppp1-{F}(V0,V1), pppp1-{F}(V2,V1), V0 == V2 | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #69: unsound, references = 3, size of lhs = 3:
% 24.79/25.01     pppp2-{F}(V0,V1,V2), pppp2-{F}(V3,V1,V2), V0 == V3 | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #70: unsound, references = 3, size of lhs = 3:
% 24.79/25.01     pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V1,V2), V0 == V3 | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #71: unsound, references = 3, size of lhs = 3:
% 24.79/25.01     pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #72: unsound, references = 3, size of lhs = 3:
% 24.79/25.01     pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #73: unsound, references = 3, size of lhs = 3:
% 24.79/25.01     pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V4,V5,V2,V3), V1 == V5 | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #74: unsound, references = 3, size of lhs = 3:
% 24.79/25.01     pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #75: unsound, references = 3, size of lhs = 3:
% 24.79/25.01     pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V4,V1,V2,V7), V0 == V4 | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #76: unsound, references = 3, size of lhs = 3:
% 24.79/25.01     pppp7-{F}(V0,V1,V2), pppp7-{F}(V3,V1,V2), V0 == V3 | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #77: unsound, references = 3, size of lhs = 3:
% 24.79/25.01     pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #78: unsound, references = 3, size of lhs = 3:
% 24.79/25.01     pppp9-{F}(V0,V1,V2,V3), pppp9-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #79: unsound, references = 3, size of lhs = 3:
% 24.79/25.01     pppp9-{F}(V0,V1,V2,V3), pppp9-{F}(V4,V5,V2,V3), V1 == V5 | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #80: unsound, references = 3, size of lhs = 3:
% 24.79/25.01     pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #81: unsound, references = 3, size of lhs = 3:
% 24.79/25.01     pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V4,V1,V2,V7), V0 == V4 | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #82: unsound, references = 3, size of lhs = 3:
% 24.79/25.01     pppp11-{F}(V0,V1,V2), pppp11-{F}(V3,V1,V2), V0 == V3 | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #83: unsound, references = 3, size of lhs = 3:
% 24.79/25.01     pppp12-{F}(V0,V1,V2), pppp12-{F}(V0,V1,V5), V2 == V5 | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #84: unsound, references = 3, size of lhs = 3:
% 24.79/25.01     pppp12-{F}(V0,V1,V2), pppp12-{F}(V3,V1,V5), V0 == V3 | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #85: unsound, references = 3, size of lhs = 3:
% 24.79/25.01     pppp13-{F}(V0,V1), pppp13-{F}(V2,V1), V0 == V2 | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #86: unsound, references = 3, size of lhs = 3:
% 24.79/25.01     pppp14-{F}(V0,V1,V2), pppp14-{F}(V3,V1,V2), V0 == V3 | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #87: unsound, references = 3, size of lhs = 3:
% 24.79/25.01     pppp14-{F}(V0,V1,V2), pppp14-{F}(V3,V1,V5), V2 == V5 | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #88: unsound, references = 3, size of lhs = 3:
% 24.79/25.01     pppp15-{F}(V0,V1), pppp15-{F}(V0,V3), V1 == V3 | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #89: unsound, references = 3, size of lhs = 3:
% 24.79/25.01     pppp16-{F}(V0,V1), pppp16-{F}(V0,V3), V1 == V3 | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #90: unsound, references = 3, size of lhs = 3:
% 24.79/25.01     pppp17-{F}(V0,V1), pppp17-{F}(V0,V3), V1 == V3 | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #91: unsound, references = 3, size of lhs = 3:
% 24.79/25.01     pppp18-{F}(V0,V1), pppp18-{F}(V0,V3), V1 == V3 | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #92: unsound, references = 3, size of lhs = 3:
% 24.79/25.01     pppp19-{F}(V0,V1), pppp19-{F}(V0,V3), V1 == V3 | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #93: unsound, references = 3, size of lhs = 3:
% 24.79/25.01     pppp20-{F}(V0,V1), pppp20-{F}(V2,V1), V0 == V2 | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #94: unsound, references = 3, size of lhs = 3:
% 24.79/25.01     pppp21-{F}(V0), pppp21-{F}(V1), V0 == V1 | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  number of simplifiers = 28
% 24.79/25.01  
% 24.79/25.01  Learnt:
% 24.79/25.01  #103: exists( #55, #101 ), references = 5, size of lhs = 3:
% 24.79/25.01     pppp22-{F}(V0), id-{F}(V0,V1), r2-{F}(V2,V1) | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #143: exists( #55, #139 ), references = 1, size of lhs = 7:
% 24.79/25.01     pppp22-{F}(V0), pppp0-{F}(V1), r1-{F}(V2), pppp3-{F}(V2,V1,V1), r4-{F}(V0,V0,V3), id-{F}(V3,V4), r2-{F}(V5,V4) | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #144: exists( #55, #140 ), references = 1, size of lhs = 7:
% 24.79/25.01     pppp22-{F}(V0), pppp0-{F}(V1), pppp22-{F}(V2), pppp3-{F}(V2,V1,V1), r4-{F}(V0,V0,V3), id-{F}(V3,V4), r2-{F}(V5,V4) | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #179: mergings( V2 == V3; #176 ), references = 1, size of lhs = 7:
% 24.79/25.01     pppp22-{F}(V0), r1-{F}(V1), pppp0-{F}(V1), pppp3-{F}(V1,V1,V2), id-{F}(V2,V3), pppp3-{F}(V4,V0,V3), r2-{F}(V5,V4) | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #181: mergings( V2 == V3; #177 ), references = 1, size of lhs = 7:
% 24.79/25.01     pppp22-{F}(V0), pppp22-{F}(V1), pppp0-{F}(V1), pppp3-{F}(V1,V1,V2), id-{F}(V2,V3), pppp3-{F}(V4,V0,V3), r2-{F}(V5,V4) | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #221: exists( #55, #217 ), references = 1, size of lhs = 6:
% 24.79/25.01     pppp22-{F}(V0), pppp0-{F}(V1), pppp3-{F}(V0,V1,V2), id-{F}(V2,V3), pppp3-{F}(V4,V0,V3), r2-{F}(V5,V4) | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #277: exists( #49, #273 ), references = 5, size of lhs = 8:
% 24.79/25.01     pppp0-{F}(V0), pppp22-{F}(V1), r2-{F}(V0,V2), id-{F}(V2,V3), id-{F}(V4,V1), pppp16-{F}(V5,V4), id-{F}(V5,V6), pppp3-{F}(V3,V6,V0) | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #288: exists( #55, #286 ), references = 4, size of lhs = 10:
% 24.79/25.01     pppp22-{F}(V0), pppp0-{F}(V1), pppp22-{F}(V2), r2-{F}(V0,V3), id-{F}(V3,V4), id-{F}(V4,V5), id-{F}(V6,V2), pppp16-{F}(V7,V6), id-{F}(V7,V8), pppp3-{F}(V5,V8,V1) | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #333: mergings( V2 == V3; #330 ), references = 1, size of lhs = 15:
% 24.79/25.01     pppp22-{F}(V0), pppp0-{F}(V1), pppp22-{F}(V2), pppp3-{F}(V3,V0,V1), r2-{F}(V0,V4), id-{F}(V4,V5), id-{F}(V5,V6), id-{F}(V7,V0), r4-{F}(V0,V7,V8), id-{F}(V8,V9), id-{F}(V9,V6), id-{F}(V10,V2), pppp16-{F}(V11,V10), id-{F}(V11,V12), pppp3-{F}(V3,V12,V1) | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #335: mergings( V2 == V4; #331 ), references = 1, size of lhs = 15:
% 24.79/25.01     pppp22-{F}(V0), pppp22-{F}(V1), pppp0-{F}(V2), pppp22-{F}(V3), r2-{F}(V1,V4), pppp3-{F}(V5,V0,V2), id-{F}(V5,V6), id-{F}(V7,V0), r4-{F}(V0,V7,V8), id-{F}(V8,V9), id-{F}(V9,V4), id-{F}(V10,V3), pppp16-{F}(V11,V10), id-{F}(V11,V12), pppp3-{F}(V6,V12,V2) | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #337: exists( #9, #330 ), references = 4, size of lhs = 13:
% 24.79/25.01     pppp22-{F}(V0), pppp0-{F}(V1), pppp22-{F}(V2), r2-{F}(V0,V3), id-{F}(V3,V4), id-{F}(V4,V5), id-{F}(V6,V0), r4-{F}(V0,V6,V7), id-{F}(V7,V8), id-{F}(V8,V5), id-{F}(V9,V0), pppp16-{F}(V9,V10), id-{F}(V10,V2) | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #400: exists( #55, #394 ), references = 3, size of lhs = 9:
% 24.79/25.01     pppp22-{F}(V0), pppp0-{F}(V1), r1-{F}(V1), id-{F}(V1,V2), r3-{F}(V0,V3,V1), id-{F}(V4,V3), id-{F}(V4,V5), pppp2-{F}(V6,V2,V5), r2-{F}(V7,V6) | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #402: mergings( V2 == V4; #398 ), references = 5, size of lhs = 18:
% 24.79/25.01     pppp22-{F}(V0), pppp22-{F}(V1), pppp0-{F}(V2), pppp22-{F}(V3), r2-{F}(V1,V4), id-{F}(V4,V5), id-{F}(V5,V6), id-{F}(V7,V1), r4-{F}(V1,V7,V8), id-{F}(V8,V2), id-{F}(V9,V1), pppp16-{F}(V9,V10), id-{F}(V10,V3), id-{F}(V2,V11), pppp2-{F}(V6,V11,V12), id-{F}(V13,V12), id-{F}(V13,V14), r3-{F}(V0,V14,V2) | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #414: mergings( V2 == V3; #412 ), references = 1, size of lhs = 8:
% 24.79/25.01     pppp22-{F}(V0), pppp0-{F}(V1), pppp22-{F}(V2), r2-{F}(V1,V3), id-{F}(V3,V4), pppp3-{F}(V4,V1,V1), pppp16-{F}(V0,V5), id-{F}(V5,V2) | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #424: mergings( V2 == V4; #422 ), references = 1, size of lhs = 10:
% 24.79/25.01     pppp22-{F}(V0), pppp22-{F}(V1), pppp0-{F}(V2), pppp22-{F}(V3), r2-{F}(V1,V4), id-{F}(V4,V5), id-{F}(V5,V6), pppp3-{F}(V6,V2,V2), pppp16-{F}(V0,V7), id-{F}(V7,V3) | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #426: disj( #54, exists( #55, #101 ) ), references = 1, size of lhs = 2:
% 24.79/25.01     id-{F}(V0,V1), r2-{F}(V2,V1) | pppp23-{T}(V0)
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #490: mergings( V3 == V0; #487 ), references = 2, size of lhs = 7:
% 24.79/25.01     pppp22-{F}(V0), pppp0-{F}(V1), pppp13-{F}(V1,V0), r1-{F}(V1), id-{F}(V1,V2), pppp2-{F}(V3,V2,V1), r2-{F}(V4,V3) | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #492: mergings( V3 == V0; #488 ), references = 2, size of lhs = 16:
% 24.79/25.01     pppp22-{F}(V0), pppp22-{F}(V1), pppp0-{F}(V2), pppp13-{F}(V2,V0), pppp22-{F}(V3), r2-{F}(V1,V4), id-{F}(V4,V5), id-{F}(V5,V6), id-{F}(V7,V1), r4-{F}(V1,V7,V8), id-{F}(V8,V2), id-{F}(V9,V1), pppp16-{F}(V9,V10), id-{F}(V10,V3), id-{F}(V2,V11), pppp2-{F}(V6,V11,V2) | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #499: mergings( V1 == V4; #496 ), references = 2, size of lhs = 8:
% 24.79/25.01     pppp22-{F}(V0), pppp0-{F}(V1), pppp13-{F}(V1,V0), r1-{F}(V1), id-{F}(V1,V2), r3-{F}(V2,V1,V3), r2-{F}(V4,V3), id-{F}(V4,V5) | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #557: exists( #24, #551 ), references = 1, size of lhs = 3:
% 24.79/25.01     pppp22-{F}(V0), id-{F}(V0,V1), pppp7-{F}(V1,V2,V3) | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #558: exists( #24, #552 ), references = 3, size of lhs = 3:
% 24.79/25.01     r1-{F}(V0), id-{F}(V0,V1), pppp7-{F}(V1,V2,V3) | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #559: exists( #24, #553 ), references = 1, size of lhs = 7:
% 24.79/25.01     pppp22-{F}(V0), pppp0-{F}(V1), pppp13-{F}(V1,V0), r1-{F}(V1), id-{F}(V1,V2), pppp2-{F}(V3,V2,V1), pppp7-{F}(V3,V4,V5) | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #730: exists( #33, #726 ), references = 1, size of lhs = 11:
% 24.79/25.01     pppp22-{F}(V0), pppp0-{F}(V1), pppp13-{F}(V1,V0), r1-{F}(V1), id-{F}(V1,V2), id-{F}(V3,V1), pppp3-{F}(V2,V3,V4), pppp11-{F}(V5,V4,V3), id-{F}(V5,V6), r2-{F}(V7,V6), id-{F}(V7,V8) | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #1072: mergings( V3 == V5; #1069 ), references = 1, size of lhs = 15:
% 24.79/25.01     pppp22-{F}(V0), pppp0-{F}(V1), r1-{F}(V1), id-{F}(V1,V2), id-{F}(V1,V3), r3-{F}(V0,V4,V1), id-{F}(V5,V4), id-{F}(V6,V5), id-{F}(V7,V6), pppp13-{F}(V7,V8), id-{F}(V8,V9), id-{F}(V9,V10), pppp2-{F}(V11,V10,V3), pppp2-{F}(V12,V2,V11), r2-{F}(V13,V12) | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #1074: mergings( V3 == V6; #1070 ), references = 1, size of lhs = 24:
% 24.79/25.01     pppp22-{F}(V0), pppp22-{F}(V1), pppp0-{F}(V2), pppp22-{F}(V3), r2-{F}(V1,V4), id-{F}(V4,V5), id-{F}(V5,V6), id-{F}(V7,V1), r4-{F}(V1,V7,V8), id-{F}(V8,V2), id-{F}(V9,V1), pppp16-{F}(V9,V10), id-{F}(V10,V3), id-{F}(V2,V11), pppp2-{F}(V6,V11,V12), id-{F}(V2,V13), r3-{F}(V0,V14,V2), id-{F}(V15,V14), id-{F}(V16,V15), id-{F}(V17,V16), pppp13-{F}(V17,V18), id-{F}(V18,V19), id-{F}(V19,V20), pppp2-{F}(V12,V20,V13) | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #1230: mergings( V3 == V5; #1226 ), references = 1, size of lhs = 20:
% 24.79/25.01     pppp22-{F}(V0), pppp0-{F}(V1), pppp22-{F}(V2), r2-{F}(V0,V3), id-{F}(V4,V0), pppp16-{F}(V4,V5), id-{F}(V5,V2), pppp1-{F}(V6,V3), pppp3-{F}(V1,V0,V7), id-{F}(V7,V0), id-{F}(V1,V8), id-{F}(V8,V9), r2-{F}(V9,V3), id-{F}(V1,V10), id-{F}(V11,V3), id-{F}(V12,V11), pppp13-{F}(V12,V13), id-{F}(V13,V14), id-{F}(V14,V15), pppp2-{F}(V6,V15,V10) | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #1232: mergings( V3 == V6; #1227 ), references = 1, size of lhs = 26:
% 24.79/25.01     pppp22-{F}(V0), pppp22-{F}(V1), pppp0-{F}(V2), pppp22-{F}(V3), id-{F}(V4,V1), r4-{F}(V1,V4,V5), id-{F}(V5,V2), id-{F}(V6,V1), pppp16-{F}(V6,V7), id-{F}(V7,V3), id-{F}(V2,V8), id-{F}(V2,V9), r3-{F}(V0,V10,V2), id-{F}(V11,V10), id-{F}(V11,V12), pppp2-{F}(V13,V8,V12), id-{F}(V14,V13), r2-{F}(V14,V15), pppp1-{F}(V15,V1), pppp1-{F}(V16,V15), id-{F}(V17,V15), id-{F}(V18,V17), pppp13-{F}(V18,V19), id-{F}(V19,V20), id-{F}(V20,V21), pppp2-{F}(V16,V21,V9) | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #1234: mergings( V3 == V6; #1228 ), references = 1, size of lhs = 24:
% 24.79/25.01     pppp22-{F}(V0), pppp22-{F}(V1), pppp0-{F}(V2), pppp13-{F}(V2,V0), pppp22-{F}(V3), id-{F}(V4,V1), r4-{F}(V1,V4,V5), id-{F}(V5,V2), id-{F}(V6,V1), pppp16-{F}(V6,V7), id-{F}(V7,V3), id-{F}(V2,V8), id-{F}(V2,V9), pppp2-{F}(V10,V8,V2), id-{F}(V11,V10), r2-{F}(V11,V12), pppp1-{F}(V12,V1), pppp1-{F}(V13,V12), id-{F}(V14,V12), id-{F}(V15,V14), pppp13-{F}(V15,V16), id-{F}(V16,V17), id-{F}(V17,V18), pppp2-{F}(V13,V18,V9) | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #1478: exists( #48, #1474 ), references = 1, size of lhs = 2:
% 24.79/25.01     pppp16-{F}(V0,V1), r2-{F}(V2,V1) | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #1479: exists( #48, #1475 ), references = 1, size of lhs = 2:
% 24.79/25.01     pppp16-{F}(V0,V1), pppp7-{F}(V1,V2,V3) | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #1678: exists( #9, #1674 ), references = 1, size of lhs = 7:
% 24.79/25.01     pppp0-{F}(V0), pppp22-{F}(V1), r2-{F}(V0,V2), id-{F}(V3,V1), pppp16-{F}(V4,V3), id-{F}(V4,V5), r4-{F}(V5,V0,V2) | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #1679: exists( #9, #1675 ), references = 2, size of lhs = 9:
% 24.79/25.01     pppp22-{F}(V0), pppp0-{F}(V1), pppp22-{F}(V2), r2-{F}(V0,V3), id-{F}(V3,V4), id-{F}(V5,V2), pppp16-{F}(V6,V5), id-{F}(V6,V7), r4-{F}(V7,V1,V4) | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #1751: mergings( V3 == V5; #1747 ), references = 1, size of lhs = 13:
% 24.79/25.01     pppp22-{F}(V0), pppp0-{F}(V1), pppp22-{F}(V2), r2-{F}(V0,V3), id-{F}(V1,V4), id-{F}(V5,V3), pppp13-{F}(V5,V6), id-{F}(V6,V7), id-{F}(V8,V2), pppp16-{F}(V9,V8), id-{F}(V9,V10), r4-{F}(V10,V1,V11), pppp2-{F}(V11,V7,V4) | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #1753: mergings( V3 == V5; #1748 ), references = 1, size of lhs = 15:
% 24.79/25.01     pppp22-{F}(V0), pppp0-{F}(V1), pppp22-{F}(V2), r2-{F}(V0,V3), id-{F}(V4,V0), r4-{F}(V0,V4,V1), id-{F}(V1,V5), id-{F}(V6,V5), id-{F}(V7,V0), pppp16-{F}(V7,V8), id-{F}(V8,V2), id-{F}(V9,V3), pppp13-{F}(V9,V10), id-{F}(V10,V11), pppp2-{F}(V6,V11,V5) | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #1755: mergings( V3 == V6; #1749 ), references = 1, size of lhs = 22:
% 24.79/25.01     pppp22-{F}(V0), pppp22-{F}(V1), pppp0-{F}(V2), pppp22-{F}(V3), r2-{F}(V1,V4), id-{F}(V4,V5), id-{F}(V6,V1), r4-{F}(V1,V6,V7), id-{F}(V7,V2), id-{F}(V8,V1), pppp16-{F}(V8,V9), id-{F}(V9,V3), id-{F}(V2,V10), id-{F}(V2,V11), id-{F}(V12,V5), pppp13-{F}(V12,V13), id-{F}(V13,V14), pppp2-{F}(V15,V14,V11), pppp2-{F}(V15,V10,V16), id-{F}(V17,V16), id-{F}(V17,V18), r3-{F}(V0,V18,V2) | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #2160: exists( #64, #2156 ), references = 2, size of lhs = 5:
% 24.79/25.01     pppp21-{F}(V0), r2-{F}(V1,V2), r3-{F}(V0,V2,V3), id-{F}(V3,V4), id-{F}(V1,V5) | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #2161: exists( #64, #2157 ), references = 2, size of lhs = 4:
% 24.79/25.01     pppp21-{F}(V0), r3-{F}(V0,V1,V2), id-{F}(V2,V3), pppp7-{F}(V1,V4,V5) | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #2174: exists( #6, #2170 ), references = 2, size of lhs = 5:
% 24.79/25.01     pppp21-{F}(V0), id-{F}(V1,V0), id-{F}(V2,V3), r2-{F}(V4,V3), id-{F}(V4,V5) | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #2175: exists( #6, #2171 ), references = 1, size of lhs = 4:
% 24.79/25.01     pppp21-{F}(V0), id-{F}(V1,V0), id-{F}(V2,V3), pppp7-{F}(V3,V4,V5) | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #2181: exists( #3, #2179 ), references = 2, size of lhs = 3:
% 24.79/25.01     pppp21-{F}(V0), id-{F}(V1,V0), id-{F}(V2,V3) | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #2184: exists( #63, #2182 ), references = 1, size of lhs = 1:
% 24.79/25.01     id-{F}(V0,V1) | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  #2186: #12+#2183, references = 1, size of lhs = 1:
% 24.79/25.01     #-{F} V0 | FALSE
% 24.79/25.01        (used 0 times, uses = {})
% 24.79/25.01  
% 24.79/25.01  number of learnt formulas = 42
% 24.79/25.01  
% 24.79/25.01  
% 24.79/25.01  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 24.79/25.01  
% 24.79/25.01  randbase = 1
%------------------------------------------------------------------------------