TSTP Solution File: LCL656+1.005 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : LCL656+1.005 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n017.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 06:09:40 EDT 2022

% Result   : Theorem 0.18s 0.40s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : LCL656+1.005 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n017.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Fri Jul 22 22:12:44 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.40  GeoParameters:
% 0.18/0.40  
% 0.18/0.40  tptp_input =     1
% 0.18/0.40  tptp_output =    0
% 0.18/0.40  nonempty =       1
% 0.18/0.40  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.40  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.18/0.40  
% 0.18/0.40  
% 0.18/0.40  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.40  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.40  
% 0.18/0.40  RuleSystem INPUT:
% 0.18/0.40  
% 0.18/0.40  Initial Rules:
% 0.18/0.40  #0: input, references = 5, size of lhs = 1:
% 0.18/0.40     #-{F} V0 | r1-{T}(V0,V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #1: input, references = 4, size of lhs = 0:
% 0.18/0.40     FALSE | EXISTS V0: pppp11-{T}(V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #2: input, references = 4, size of lhs = 1:
% 0.18/0.40     pppp11-{F}(V0) | p100-{T}(V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #3: input, references = 3, size of lhs = 2:
% 0.18/0.40     pppp11-{F}(V0), p101-{F}(V0) | FALSE
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #4: input, references = 5, size of lhs = 6:
% 0.18/0.40     pppp11-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V4,V5) | pppp10-{T}(V5)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #5: input, references = 4, size of lhs = 6:
% 0.18/0.40     pppp11-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V4,V5) | p3-{T}(V5)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #6: input, references = 3, size of lhs = 2:
% 0.18/0.40     pppp10-{F}(V0), p101-{F}(V0) | p100-{T}(V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #7: input, references = 3, size of lhs = 2:
% 0.18/0.40     pppp10-{F}(V0), p102-{F}(V0) | p101-{T}(V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #8: input, references = 3, size of lhs = 2:
% 0.18/0.40     pppp10-{F}(V0), p103-{F}(V0) | p102-{T}(V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #9: input, references = 3, size of lhs = 2:
% 0.18/0.40     pppp10-{F}(V0), p104-{F}(V0) | p103-{T}(V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #10: input, references = 3, size of lhs = 2:
% 0.18/0.40     pppp10-{F}(V0), p105-{F}(V0) | p104-{T}(V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #11: input, references = 3, size of lhs = 2:
% 0.18/0.40     pppp10-{F}(V0), p106-{F}(V0) | p105-{T}(V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #12: input, references = 3, size of lhs = 5:
% 0.18/0.40     pppp10-{F}(V0), r1-{F}(V0,V1), p100-{F}(V1), p1-{F}(V0), p100-{F}(V0) | p1-{T}(V1)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #13: input, references = 3, size of lhs = 5:
% 0.18/0.40     pppp10-{F}(V0), r1-{F}(V0,V1), p1-{F}(V1), p100-{F}(V1), p100-{F}(V0) | p1-{T}(V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #14: input, references = 3, size of lhs = 5:
% 0.18/0.40     pppp10-{F}(V0), r1-{F}(V0,V1), p101-{F}(V1), p2-{F}(V0), p101-{F}(V0) | p2-{T}(V1)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #15: input, references = 3, size of lhs = 5:
% 0.18/0.40     pppp10-{F}(V0), r1-{F}(V0,V1), p2-{F}(V1), p101-{F}(V1), p101-{F}(V0) | p2-{T}(V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #16: input, references = 3, size of lhs = 5:
% 0.18/0.40     pppp10-{F}(V0), r1-{F}(V0,V1), p102-{F}(V1), p3-{F}(V0), p102-{F}(V0) | p3-{T}(V1)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #17: input, references = 3, size of lhs = 5:
% 0.18/0.40     pppp10-{F}(V0), r1-{F}(V0,V1), p3-{F}(V1), p102-{F}(V1), p102-{F}(V0) | p3-{T}(V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #18: input, references = 3, size of lhs = 5:
% 0.18/0.40     pppp10-{F}(V0), r1-{F}(V0,V1), p103-{F}(V1), p4-{F}(V0), p103-{F}(V0) | p4-{T}(V1)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #19: input, references = 3, size of lhs = 5:
% 0.18/0.40     pppp10-{F}(V0), r1-{F}(V0,V1), p4-{F}(V1), p103-{F}(V1), p103-{F}(V0) | p4-{T}(V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #20: input, references = 3, size of lhs = 5:
% 0.18/0.40     pppp10-{F}(V0), r1-{F}(V0,V1), p104-{F}(V1), p5-{F}(V0), p104-{F}(V0) | p5-{T}(V1)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #21: input, references = 3, size of lhs = 5:
% 0.18/0.40     pppp10-{F}(V0), r1-{F}(V0,V1), p5-{F}(V1), p104-{F}(V1), p104-{F}(V0) | p5-{T}(V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #22: input, references = 3, size of lhs = 5:
% 0.18/0.40     pppp10-{F}(V0), r1-{F}(V0,V1), p105-{F}(V1), p6-{F}(V0), p105-{F}(V0) | p6-{T}(V1)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #23: input, references = 3, size of lhs = 5:
% 0.18/0.40     pppp10-{F}(V0), r1-{F}(V0,V1), p6-{F}(V1), p105-{F}(V1), p105-{F}(V0) | p6-{T}(V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #24: input, references = 4, size of lhs = 2:
% 0.18/0.40     pppp10-{F}(V0), p100-{F}(V0) | pppp12-{T}(V0), p101-{T}(V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #25: input, references = 4, size of lhs = 1:
% 0.18/0.40     pppp12-{F}(V0) | EXISTS V1: pppp9-{T}(V1,V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #26: input, references = 4, size of lhs = 2:
% 0.18/0.40     pppp10-{F}(V0), p100-{F}(V0) | pppp13-{T}(V0), p101-{T}(V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #27: input, references = 3, size of lhs = 1:
% 0.18/0.40     pppp13-{F}(V0) | EXISTS V1: pppp8-{T}(V1,V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #28: input, references = 4, size of lhs = 2:
% 0.18/0.40     pppp10-{F}(V0), p101-{F}(V0) | pppp14-{T}(V0), p102-{T}(V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #29: input, references = 3, size of lhs = 1:
% 0.18/0.40     pppp14-{F}(V0) | EXISTS V1: pppp7-{T}(V1,V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #30: input, references = 4, size of lhs = 2:
% 0.18/0.40     pppp10-{F}(V0), p101-{F}(V0) | pppp15-{T}(V0), p102-{T}(V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #31: input, references = 4, size of lhs = 1:
% 0.18/0.40     pppp15-{F}(V0) | EXISTS V1: pppp6-{T}(V1,V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #32: input, references = 3, size of lhs = 2:
% 0.18/0.40     pppp10-{F}(V0), p102-{F}(V0) | pppp16-{T}(V0), p103-{T}(V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #33: input, references = 3, size of lhs = 1:
% 0.18/0.40     pppp16-{F}(V0) | EXISTS V1: pppp5-{T}(V1,V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #34: input, references = 3, size of lhs = 2:
% 0.18/0.40     pppp10-{F}(V0), p102-{F}(V0) | pppp17-{T}(V0), p103-{T}(V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #35: input, references = 3, size of lhs = 1:
% 0.18/0.40     pppp17-{F}(V0) | EXISTS V1: pppp4-{T}(V1,V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #36: input, references = 3, size of lhs = 2:
% 0.18/0.40     pppp10-{F}(V0), p103-{F}(V0) | pppp18-{T}(V0), p104-{T}(V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #37: input, references = 3, size of lhs = 1:
% 0.18/0.40     pppp18-{F}(V0) | EXISTS V1: pppp3-{T}(V1,V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #38: input, references = 3, size of lhs = 2:
% 0.18/0.40     pppp10-{F}(V0), p103-{F}(V0) | pppp19-{T}(V0), p104-{T}(V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #39: input, references = 3, size of lhs = 1:
% 0.18/0.40     pppp19-{F}(V0) | EXISTS V1: pppp2-{T}(V1,V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #40: input, references = 3, size of lhs = 2:
% 0.18/0.40     pppp10-{F}(V0), p104-{F}(V0) | pppp20-{T}(V0), p105-{T}(V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #41: input, references = 3, size of lhs = 1:
% 0.18/0.40     pppp20-{F}(V0) | EXISTS V1: pppp1-{T}(V1,V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #42: input, references = 3, size of lhs = 2:
% 0.18/0.40     pppp10-{F}(V0), p104-{F}(V0) | pppp21-{T}(V0), p105-{T}(V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #43: input, references = 3, size of lhs = 1:
% 0.18/0.40     pppp21-{F}(V0) | EXISTS V1: pppp0-{T}(V1,V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #44: input, references = 4, size of lhs = 1:
% 0.18/0.40     pppp9-{F}(V0,V1) | p101-{T}(V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #45: input, references = 3, size of lhs = 2:
% 0.18/0.40     pppp9-{F}(V0,V1), p102-{F}(V0) | FALSE
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #46: input, references = 3, size of lhs = 1:
% 0.18/0.40     pppp9-{F}(V0,V1) | p2-{T}(V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #47: input, references = 4, size of lhs = 1:
% 0.18/0.40     pppp9-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #48: input, references = 3, size of lhs = 1:
% 0.18/0.40     pppp8-{F}(V0,V1) | p101-{T}(V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #49: input, references = 3, size of lhs = 2:
% 0.18/0.40     pppp8-{F}(V0,V1), p102-{F}(V0) | FALSE
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #50: input, references = 3, size of lhs = 2:
% 0.18/0.40     pppp8-{F}(V0,V1), p2-{F}(V0) | FALSE
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #51: input, references = 3, size of lhs = 1:
% 0.18/0.40     pppp8-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #52: input, references = 3, size of lhs = 1:
% 0.18/0.40     pppp7-{F}(V0,V1) | p102-{T}(V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #53: input, references = 3, size of lhs = 2:
% 0.18/0.40     pppp7-{F}(V0,V1), p103-{F}(V0) | FALSE
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #54: input, references = 3, size of lhs = 1:
% 0.18/0.40     pppp7-{F}(V0,V1) | p3-{T}(V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #55: input, references = 3, size of lhs = 1:
% 0.18/0.40     pppp7-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #56: input, references = 3, size of lhs = 1:
% 0.18/0.40     pppp6-{F}(V0,V1) | p102-{T}(V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #57: input, references = 3, size of lhs = 2:
% 0.18/0.40     pppp6-{F}(V0,V1), p103-{F}(V0) | FALSE
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #58: input, references = 4, size of lhs = 2:
% 0.18/0.40     pppp6-{F}(V0,V1), p3-{F}(V0) | FALSE
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #59: input, references = 4, size of lhs = 1:
% 0.18/0.40     pppp6-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #60: input, references = 3, size of lhs = 1:
% 0.18/0.40     pppp5-{F}(V0,V1) | p103-{T}(V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #61: input, references = 3, size of lhs = 2:
% 0.18/0.40     pppp5-{F}(V0,V1), p104-{F}(V0) | FALSE
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #62: input, references = 3, size of lhs = 1:
% 0.18/0.40     pppp5-{F}(V0,V1) | p4-{T}(V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #63: input, references = 3, size of lhs = 1:
% 0.18/0.40     pppp5-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #64: input, references = 3, size of lhs = 1:
% 0.18/0.40     pppp4-{F}(V0,V1) | p103-{T}(V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #65: input, references = 3, size of lhs = 2:
% 0.18/0.40     pppp4-{F}(V0,V1), p104-{F}(V0) | FALSE
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #66: input, references = 3, size of lhs = 2:
% 0.18/0.40     pppp4-{F}(V0,V1), p4-{F}(V0) | FALSE
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #67: input, references = 3, size of lhs = 1:
% 0.18/0.40     pppp4-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #68: input, references = 3, size of lhs = 1:
% 0.18/0.40     pppp3-{F}(V0,V1) | p104-{T}(V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #69: input, references = 3, size of lhs = 2:
% 0.18/0.40     pppp3-{F}(V0,V1), p105-{F}(V0) | FALSE
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #70: input, references = 3, size of lhs = 1:
% 0.18/0.40     pppp3-{F}(V0,V1) | p5-{T}(V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #71: input, references = 3, size of lhs = 1:
% 0.18/0.40     pppp3-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #72: input, references = 3, size of lhs = 1:
% 0.18/0.40     pppp2-{F}(V0,V1) | p104-{T}(V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #73: input, references = 3, size of lhs = 2:
% 0.18/0.40     pppp2-{F}(V0,V1), p105-{F}(V0) | FALSE
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #74: input, references = 3, size of lhs = 2:
% 0.18/0.40     pppp2-{F}(V0,V1), p5-{F}(V0) | FALSE
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #75: input, references = 3, size of lhs = 1:
% 0.18/0.40     pppp2-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #76: input, references = 3, size of lhs = 1:
% 0.18/0.40     pppp1-{F}(V0,V1) | p105-{T}(V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #77: input, references = 3, size of lhs = 2:
% 0.18/0.40     pppp1-{F}(V0,V1), p106-{F}(V0) | FALSE
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #78: input, references = 3, size of lhs = 1:
% 0.18/0.40     pppp1-{F}(V0,V1) | p6-{T}(V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #79: input, references = 3, size of lhs = 1:
% 0.18/0.40     pppp1-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #80: input, references = 3, size of lhs = 1:
% 0.18/0.40     pppp0-{F}(V0,V1) | p105-{T}(V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #81: input, references = 3, size of lhs = 2:
% 0.18/0.40     pppp0-{F}(V0,V1), p106-{F}(V0) | FALSE
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #82: input, references = 3, size of lhs = 2:
% 0.18/0.40     pppp0-{F}(V0,V1), p6-{F}(V0) | FALSE
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #83: input, references = 3, size of lhs = 1:
% 0.18/0.40     pppp0-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  number of initial rules = 84
% 0.18/0.40  
% 0.18/0.40  Simplifiers:
% 0.18/0.40  #84: unsound, references = 3, size of lhs = 3:
% 0.18/0.40     pppp0-{F}(V0,V1), pppp0-{F}(V2,V1), V0 == V2 | FALSE
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #85: unsound, references = 3, size of lhs = 3:
% 0.18/0.40     pppp1-{F}(V0,V1), pppp1-{F}(V2,V1), V0 == V2 | FALSE
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #86: unsound, references = 3, size of lhs = 3:
% 0.18/0.40     pppp2-{F}(V0,V1), pppp2-{F}(V2,V1), V0 == V2 | FALSE
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #87: unsound, references = 3, size of lhs = 3:
% 0.18/0.40     pppp3-{F}(V0,V1), pppp3-{F}(V2,V1), V0 == V2 | FALSE
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #88: unsound, references = 3, size of lhs = 3:
% 0.18/0.40     pppp4-{F}(V0,V1), pppp4-{F}(V2,V1), V0 == V2 | FALSE
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #89: unsound, references = 3, size of lhs = 3:
% 0.18/0.40     pppp5-{F}(V0,V1), pppp5-{F}(V2,V1), V0 == V2 | FALSE
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #90: unsound, references = 3, size of lhs = 3:
% 0.18/0.40     pppp6-{F}(V0,V1), pppp6-{F}(V2,V1), V0 == V2 | FALSE
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #91: unsound, references = 3, size of lhs = 3:
% 0.18/0.40     pppp7-{F}(V0,V1), pppp7-{F}(V2,V1), V0 == V2 | FALSE
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #92: unsound, references = 3, size of lhs = 3:
% 0.18/0.40     pppp8-{F}(V0,V1), pppp8-{F}(V2,V1), V0 == V2 | FALSE
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #93: unsound, references = 3, size of lhs = 3:
% 0.18/0.40     pppp9-{F}(V0,V1), pppp9-{F}(V2,V1), V0 == V2 | FALSE
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #94: unsound, references = 3, size of lhs = 3:
% 0.18/0.40     pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  number of simplifiers = 11
% 0.18/0.40  
% 0.18/0.40  Learnt:
% 0.18/0.40  #96: disj( #24, input ), references = 1, size of lhs = 3:
% 0.18/0.40     pppp10-{F}(V0), p100-{F}(V0), pppp11-{F}(V0) | pppp12-{T}(V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #98: disj( #26, input ), references = 1, size of lhs = 3:
% 0.18/0.40     pppp10-{F}(V0), p100-{F}(V0), pppp11-{F}(V0) | pppp13-{T}(V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #100: disj( #28, input ), references = 1, size of lhs = 3:
% 0.18/0.40     pppp10-{F}(V0), p101-{F}(V0), pppp9-{F}(V0,V1) | pppp14-{T}(V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #102: disj( #30, input ), references = 2, size of lhs = 3:
% 0.18/0.40     pppp10-{F}(V0), p101-{F}(V0), pppp9-{F}(V0,V1) | pppp15-{T}(V0)
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #109: exists( #31, #107 ), references = 2, size of lhs = 6:
% 0.18/0.40     pppp15-{F}(V0), pppp11-{F}(V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V4,V0) | FALSE
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #120: exists( #25, #118 ), references = 1, size of lhs = 2:
% 0.18/0.40     pppp12-{F}(V0), pppp11-{F}(V0) | FALSE
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  #126: exists( #1, #124 ), references = 1, size of lhs = 0:
% 0.18/0.40     FALSE | FALSE
% 0.18/0.40        (used 0 times, uses = {})
% 0.18/0.40  
% 0.18/0.40  number of learnt formulas = 7
% 0.18/0.40  
% 0.18/0.40  
% 0.18/0.40  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.40  
% 0.18/0.40  randbase = 1
%------------------------------------------------------------------------------