TSTP Solution File: LCL668+1.001 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : LCL668+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n023.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 06:09:47 EDT 2022

% Result   : Theorem 0.13s 0.37s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : LCL668+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33  % Computer : n023.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Fri Jul 22 22:19:20 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.13/0.37  GeoParameters:
% 0.13/0.37  
% 0.13/0.37  tptp_input =     1
% 0.13/0.37  tptp_output =    0
% 0.13/0.37  nonempty =       1
% 0.13/0.37  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.13/0.37  
% 0.13/0.37  
% 0.13/0.37  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37  
% 0.13/0.37  RuleSystem INPUT:
% 0.13/0.37  
% 0.13/0.37  Initial Rules:
% 0.13/0.37  #0: input, references = 5, size of lhs = 1:
% 0.13/0.37     #-{F} V0 | r1-{T}(V0,V0)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #1: input, references = 4, size of lhs = 0:
% 0.13/0.37     FALSE | EXISTS V0: pppp20-{T}(V0)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #2: input, references = 4, size of lhs = 1:
% 0.13/0.37     pppp20-{F}(V0) | pppp19-{T}(V0)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #3: input, references = 3, size of lhs = 1:
% 0.13/0.37     pppp19-{F}(V0) | EXISTS V1: pppp18-{T}(V0,V1)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #4: input, references = 4, size of lhs = 3:
% 0.13/0.37     pppp19-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2) | pppp12-{T}(V2)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #5: input, references = 3, size of lhs = 2:
% 0.13/0.37     pppp19-{F}(V0), r1-{F}(V0,V1) | EXISTS V2: pppp7-{T}(V2,V1)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #6: input, references = 4, size of lhs = 11:
% 0.13/0.37     pppp19-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V4,V5), r1-{F}(V5,V6), r1-{F}(V6,V7), r1-{F}(V7,V8), p1-{F}(V8), p5-{F}(V8) | FALSE
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #7: input, references = 3, size of lhs = 9:
% 0.13/0.37     pppp19-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V4,V5), r1-{F}(V5,V6), r1-{F}(V6,V7), r1-{F}(V7,V8) | p5-{T}(V8), p1-{T}(V8)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #8: input, references = 3, size of lhs = 1:
% 0.13/0.37     pppp19-{F}(V0) | EXISTS V1: pppp6-{T}(V0,V1)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #9: input, references = 3, size of lhs = 1:
% 0.13/0.37     pppp19-{F}(V0) | EXISTS V1: pppp5-{T}(V0,V1)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #10: input, references = 3, size of lhs = 1:
% 0.13/0.37     pppp18-{F}(V0,V1) | EXISTS V2: pppp17-{T}(V2,V1)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #11: input, references = 3, size of lhs = 1:
% 0.13/0.37     pppp18-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #12: input, references = 3, size of lhs = 1:
% 0.13/0.37     pppp17-{F}(V0,V1) | EXISTS V2: pppp16-{T}(V0,V2)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #13: input, references = 3, size of lhs = 1:
% 0.13/0.37     pppp17-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #14: input, references = 3, size of lhs = 1:
% 0.13/0.37     pppp16-{F}(V0,V1) | EXISTS V2: pppp15-{T}(V2,V1)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #15: input, references = 3, size of lhs = 1:
% 0.13/0.37     pppp16-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #16: input, references = 3, size of lhs = 1:
% 0.13/0.37     pppp15-{F}(V0,V1) | EXISTS V2: pppp14-{T}(V0,V2)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #17: input, references = 3, size of lhs = 1:
% 0.13/0.37     pppp15-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #18: input, references = 3, size of lhs = 1:
% 0.13/0.37     pppp14-{F}(V0,V1) | EXISTS V2: pppp13-{T}(V2,V1)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #19: input, references = 3, size of lhs = 1:
% 0.13/0.37     pppp14-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #20: input, references = 3, size of lhs = 7:
% 0.13/0.37     pppp13-{F}(V0,V1), p6-{F}(V0), p5-{F}(V0), p4-{F}(V0), p3-{F}(V0), p2-{F}(V0), p1-{F}(V0) | FALSE
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #21: input, references = 3, size of lhs = 1:
% 0.13/0.37     pppp13-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #22: input, references = 4, size of lhs = 3:
% 0.13/0.37     pppp12-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2) | pppp11-{T}(V2)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #23: input, references = 4, size of lhs = 2:
% 0.13/0.37     pppp12-{F}(V0), r1-{F}(V0,V1) | EXISTS V2: pppp9-{T}(V2,V1)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #24: input, references = 3, size of lhs = 9:
% 0.13/0.37     pppp12-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V4,V5), r1-{F}(V5,V6), p4-{F}(V6), p3-{F}(V6) | FALSE
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #25: input, references = 4, size of lhs = 7:
% 0.13/0.37     pppp12-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V4,V5), r1-{F}(V5,V6) | p3-{T}(V6), p4-{T}(V6)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #26: input, references = 3, size of lhs = 1:
% 0.13/0.37     pppp12-{F}(V0) | EXISTS V1: pppp8-{T}(V0,V1)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #27: input, references = 3, size of lhs = 9:
% 0.13/0.37     pppp12-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V4,V5), r1-{F}(V5,V6), p5-{F}(V6), p4-{F}(V6) | FALSE
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #28: input, references = 4, size of lhs = 7:
% 0.13/0.37     pppp12-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V4,V5), r1-{F}(V5,V6) | p4-{T}(V6), p5-{T}(V6)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #29: input, references = 3, size of lhs = 7:
% 0.13/0.37     pppp11-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), p2-{F}(V4), p1-{F}(V4) | FALSE
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #30: input, references = 4, size of lhs = 5:
% 0.13/0.37     pppp11-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4) | p1-{T}(V4), p2-{T}(V4)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #31: input, references = 3, size of lhs = 1:
% 0.13/0.37     pppp11-{F}(V0) | EXISTS V1: pppp10-{T}(V0,V1)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #32: input, references = 3, size of lhs = 7:
% 0.13/0.37     pppp11-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), p3-{F}(V4), p2-{F}(V4) | FALSE
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #33: input, references = 3, size of lhs = 5:
% 0.13/0.37     pppp11-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4) | p2-{T}(V4), p3-{T}(V4)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #34: input, references = 3, size of lhs = 2:
% 0.13/0.37     pppp10-{F}(V0,V1), p3-{F}(V1) | FALSE
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #35: input, references = 3, size of lhs = 1:
% 0.13/0.37     pppp10-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #36: input, references = 4, size of lhs = 2:
% 0.13/0.37     pppp9-{F}(V0,V1), p4-{F}(V0) | FALSE
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #37: input, references = 4, size of lhs = 1:
% 0.13/0.37     pppp9-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #38: input, references = 3, size of lhs = 2:
% 0.13/0.37     pppp8-{F}(V0,V1), p5-{F}(V1) | FALSE
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #39: input, references = 3, size of lhs = 1:
% 0.13/0.37     pppp8-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #40: input, references = 3, size of lhs = 2:
% 0.13/0.37     pppp7-{F}(V0,V1), p6-{F}(V0) | FALSE
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #41: input, references = 3, size of lhs = 1:
% 0.13/0.37     pppp7-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #42: input, references = 3, size of lhs = 2:
% 0.13/0.37     pppp6-{F}(V0,V1), p7-{F}(V1) | FALSE
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #43: input, references = 3, size of lhs = 1:
% 0.13/0.37     pppp6-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #44: input, references = 3, size of lhs = 1:
% 0.13/0.37     pppp5-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V2,V1)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #45: input, references = 3, size of lhs = 1:
% 0.13/0.37     pppp5-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #46: input, references = 3, size of lhs = 1:
% 0.13/0.37     pppp4-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V0,V2)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #47: input, references = 3, size of lhs = 1:
% 0.13/0.37     pppp4-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #48: input, references = 3, size of lhs = 1:
% 0.13/0.37     pppp3-{F}(V0,V1) | EXISTS V2: pppp2-{T}(V2,V1)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #49: input, references = 3, size of lhs = 1:
% 0.13/0.37     pppp3-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #50: input, references = 3, size of lhs = 1:
% 0.13/0.37     pppp2-{F}(V0,V1) | EXISTS V2: pppp1-{T}(V0,V2)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #51: input, references = 3, size of lhs = 1:
% 0.13/0.37     pppp2-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #52: input, references = 3, size of lhs = 1:
% 0.13/0.37     pppp1-{F}(V0,V1) | EXISTS V2: pppp0-{T}(V2,V1)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #53: input, references = 3, size of lhs = 1:
% 0.13/0.37     pppp1-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #54: input, references = 3, size of lhs = 1:
% 0.13/0.37     pppp0-{F}(V0,V1) | p12-{T}(V0), p10-{T}(V0), p8-{T}(V0), p6-{T}(V0), p4-{T}(V0), p2-{T}(V0)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #55: input, references = 3, size of lhs = 1:
% 0.13/0.37     pppp0-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  number of initial rules = 56
% 0.13/0.37  
% 0.13/0.37  Simplifiers:
% 0.13/0.37  #56: unsound, references = 3, size of lhs = 3:
% 0.13/0.37     pppp0-{F}(V0,V1), pppp0-{F}(V2,V1), V0 == V2 | FALSE
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #57: unsound, references = 3, size of lhs = 3:
% 0.13/0.37     pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #58: unsound, references = 3, size of lhs = 3:
% 0.13/0.37     pppp2-{F}(V0,V1), pppp2-{F}(V2,V1), V0 == V2 | FALSE
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #59: unsound, references = 3, size of lhs = 3:
% 0.13/0.37     pppp3-{F}(V0,V1), pppp3-{F}(V0,V3), V1 == V3 | FALSE
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #60: unsound, references = 3, size of lhs = 3:
% 0.13/0.37     pppp4-{F}(V0,V1), pppp4-{F}(V2,V1), V0 == V2 | FALSE
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #61: unsound, references = 3, size of lhs = 3:
% 0.13/0.37     pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #62: unsound, references = 3, size of lhs = 3:
% 0.13/0.37     pppp5-{F}(V0,V1), pppp5-{F}(V2,V3), V0 == V2 | FALSE
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #63: unsound, references = 3, size of lhs = 3:
% 0.13/0.37     pppp6-{F}(V0,V1), pppp6-{F}(V0,V3), V1 == V3 | FALSE
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #64: unsound, references = 3, size of lhs = 3:
% 0.13/0.37     pppp6-{F}(V0,V1), pppp6-{F}(V2,V3), V0 == V2 | FALSE
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #65: unsound, references = 3, size of lhs = 3:
% 0.13/0.37     pppp7-{F}(V0,V1), pppp7-{F}(V2,V1), V0 == V2 | FALSE
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #66: unsound, references = 3, size of lhs = 3:
% 0.13/0.37     pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #67: unsound, references = 3, size of lhs = 3:
% 0.13/0.37     pppp9-{F}(V0,V1), pppp9-{F}(V2,V1), V0 == V2 | FALSE
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #68: unsound, references = 3, size of lhs = 3:
% 0.13/0.37     pppp10-{F}(V0,V1), pppp10-{F}(V0,V3), V1 == V3 | FALSE
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #69: unsound, references = 3, size of lhs = 3:
% 0.13/0.37     pppp13-{F}(V0,V1), pppp13-{F}(V2,V1), V0 == V2 | FALSE
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #70: unsound, references = 3, size of lhs = 3:
% 0.13/0.37     pppp14-{F}(V0,V1), pppp14-{F}(V0,V3), V1 == V3 | FALSE
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #71: unsound, references = 3, size of lhs = 3:
% 0.13/0.37     pppp15-{F}(V0,V1), pppp15-{F}(V2,V1), V0 == V2 | FALSE
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #72: unsound, references = 3, size of lhs = 3:
% 0.13/0.37     pppp16-{F}(V0,V1), pppp16-{F}(V0,V3), V1 == V3 | FALSE
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #73: unsound, references = 3, size of lhs = 3:
% 0.13/0.37     pppp17-{F}(V0,V1), pppp17-{F}(V2,V1), V0 == V2 | FALSE
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #74: unsound, references = 3, size of lhs = 3:
% 0.13/0.37     pppp18-{F}(V0,V1), pppp18-{F}(V0,V3), V1 == V3 | FALSE
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #75: unsound, references = 3, size of lhs = 3:
% 0.13/0.37     pppp18-{F}(V0,V1), pppp18-{F}(V2,V3), V0 == V2 | FALSE
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #76: unsound, references = 3, size of lhs = 3:
% 0.13/0.37     pppp19-{F}(V0), pppp19-{F}(V1), V0 == V1 | FALSE
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #77: unsound, references = 3, size of lhs = 3:
% 0.13/0.37     pppp20-{F}(V0), pppp20-{F}(V1), V0 == V1 | FALSE
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  number of simplifiers = 22
% 0.13/0.37  
% 0.13/0.37  Learnt:
% 0.13/0.37  #79: disj( #25, input ), references = 1, size of lhs = 13:
% 0.13/0.37     pppp12-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V4,V5), r1-{F}(V5,V6), p2-{F}(V6), pppp11-{F}(V7), r1-{F}(V7,V8), r1-{F}(V8,V9), r1-{F}(V9,V10), r1-{F}(V10,V6) | p4-{T}(V6)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #82: disj( #30, #78+#36 ), references = 2, size of lhs = 18:
% 0.13/0.37     pppp11-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), pppp12-{F}(V5), r1-{F}(V5,V6), r1-{F}(V6,V7), r1-{F}(V7,V8), r1-{F}(V8,V9), r1-{F}(V9,V10), r1-{F}(V10,V4), pppp11-{F}(V11), r1-{F}(V11,V12), r1-{F}(V12,V13), r1-{F}(V13,V14), r1-{F}(V14,V4), pppp9-{F}(V4,V15) | p1-{T}(V4)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #85: disj( #28, input ), references = 2, size of lhs = 8:
% 0.13/0.37     pppp12-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V4,V5), r1-{F}(V5,V6), pppp9-{F}(V6,V7) | p5-{T}(V6)
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #93: exists( #23, #91 ), references = 1, size of lhs = 5:
% 0.13/0.37     pppp12-{F}(V0), r1-{F}(V0,V1), pppp12-{F}(V1), pppp11-{F}(V1), pppp19-{F}(V1) | FALSE
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  #99: exists( #1, #97 ), references = 1, size of lhs = 0:
% 0.13/0.37     FALSE | FALSE
% 0.13/0.37        (used 0 times, uses = {})
% 0.13/0.37  
% 0.13/0.37  number of learnt formulas = 5
% 0.13/0.37  
% 0.13/0.37  
% 0.13/0.37  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37  
% 0.13/0.37  randbase = 1
%------------------------------------------------------------------------------