TSTP Solution File: LCL688+1.001 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : LCL688+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n013.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 06:09:58 EDT 2022

% Result   : Theorem 0.18s 0.50s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : LCL688+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n013.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 21:55:15 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.50  GeoParameters:
% 0.18/0.50  
% 0.18/0.50  tptp_input =     1
% 0.18/0.50  tptp_output =    0
% 0.18/0.50  nonempty =       1
% 0.18/0.50  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.50  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.18/0.50  
% 0.18/0.50  
% 0.18/0.50  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.50  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.50  
% 0.18/0.50  RuleSystem INPUT:
% 0.18/0.50  
% 0.18/0.50  Initial Rules:
% 0.18/0.50  #0: input, references = 7, size of lhs = 1:
% 0.18/0.50     #-{F} V0 | r1-{T}(V0,V0)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #1: input, references = 5, size of lhs = 2:
% 0.18/0.50     r1-{F}(V0,V1), r1-{F}(V2,V0) | r1-{T}(V2,V1)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #2: input, references = 4, size of lhs = 0:
% 0.18/0.50     FALSE | EXISTS V0: pppp13-{T}(V0)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #3: input, references = 4, size of lhs = 1:
% 0.18/0.50     pppp13-{F}(V0) | pppp12-{T}(V0)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #4: input, references = 3, size of lhs = 5:
% 0.18/0.50     pppp12-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), p1-{F}(V3) | EXISTS V4: pppp11-{T}(V4,V1)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #5: input, references = 4, size of lhs = 1:
% 0.18/0.50     pppp12-{F}(V0) | EXISTS V1: pppp10-{T}(V0,V1)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #6: input, references = 3, size of lhs = 1:
% 0.18/0.50     pppp12-{F}(V0) | EXISTS V1: pppp8-{T}(V0,V1)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #7: input, references = 3, size of lhs = 2:
% 0.18/0.50     pppp12-{F}(V0), r1-{F}(V0,V1) | p1-{T}(V0), pppp14-{T}(V1), pppp15-{T}(V0)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #8: input, references = 3, size of lhs = 1:
% 0.18/0.50     pppp14-{F}(V0) | EXISTS V1: pppp4-{T}(V1,V0)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #9: input, references = 3, size of lhs = 1:
% 0.18/0.50     pppp15-{F}(V0) | EXISTS V1: pppp5-{T}(V0,V1)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #10: input, references = 4, size of lhs = 6:
% 0.18/0.50     pppp12-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), p2-{F}(V2), r1-{F}(V2,V4) | p2-{T}(V3), pppp16-{T}(V4)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #11: input, references = 4, size of lhs = 1:
% 0.18/0.50     pppp16-{F}(V0) | EXISTS V1: pppp3-{T}(V1,V0)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #12: input, references = 3, size of lhs = 6:
% 0.18/0.50     pppp12-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), p2-{F}(V2), r1-{F}(V2,V4) | pppp17-{T}(V3), pppp18-{T}(V4)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #13: input, references = 3, size of lhs = 1:
% 0.18/0.50     pppp17-{F}(V0) | EXISTS V1: pppp2-{T}(V1,V0)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #14: input, references = 3, size of lhs = 1:
% 0.18/0.50     pppp18-{F}(V0) | EXISTS V1: pppp3-{T}(V1,V0)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #15: input, references = 6, size of lhs = 3:
% 0.18/0.50     pppp12-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2) | EXISTS V3: pppp1-{T}(V2,V3)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #16: input, references = 3, size of lhs = 3:
% 0.18/0.50     pppp12-{F}(V0), r1-{F}(V0,V1), p4-{F}(V1) | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #17: input, references = 3, size of lhs = 1:
% 0.18/0.50     pppp11-{F}(V0,V1) | p1-{T}(V0)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #18: input, references = 3, size of lhs = 1:
% 0.18/0.50     pppp11-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #19: input, references = 4, size of lhs = 2:
% 0.18/0.50     pppp10-{F}(V0,V1), r1-{F}(V1,V2) | EXISTS V3: pppp9-{T}(V2,V3)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #20: input, references = 4, size of lhs = 1:
% 0.18/0.50     pppp10-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #21: input, references = 3, size of lhs = 2:
% 0.18/0.50     pppp9-{F}(V0,V1), p2-{F}(V1) | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #22: input, references = 4, size of lhs = 1:
% 0.18/0.50     pppp9-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #23: input, references = 3, size of lhs = 1:
% 0.18/0.50     pppp8-{F}(V0,V1) | EXISTS V2: pppp7-{T}(V2,V1)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #24: input, references = 3, size of lhs = 1:
% 0.18/0.50     pppp8-{F}(V0,V1) | EXISTS V2: pppp6-{T}(V2,V1)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #25: input, references = 3, size of lhs = 1:
% 0.18/0.50     pppp8-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #26: input, references = 3, size of lhs = 2:
% 0.18/0.50     pppp7-{F}(V0,V1), p1-{F}(V0) | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #27: input, references = 3, size of lhs = 1:
% 0.18/0.50     pppp7-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #28: input, references = 3, size of lhs = 2:
% 0.18/0.50     pppp6-{F}(V0,V1), r1-{F}(V0,V2) | p1-{T}(V2)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #29: input, references = 3, size of lhs = 1:
% 0.18/0.50     pppp6-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #30: input, references = 3, size of lhs = 4:
% 0.18/0.50     pppp5-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), p1-{F}(V2) | p1-{T}(V3)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #31: input, references = 3, size of lhs = 2:
% 0.18/0.50     pppp5-{F}(V0,V1), p1-{F}(V1) | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #32: input, references = 3, size of lhs = 1:
% 0.18/0.50     pppp5-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #33: input, references = 3, size of lhs = 2:
% 0.18/0.50     pppp4-{F}(V0,V1), p1-{F}(V0) | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #34: input, references = 3, size of lhs = 1:
% 0.18/0.50     pppp4-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #35: input, references = 4, size of lhs = 3:
% 0.18/0.50     pppp3-{F}(V0,V1), r1-{F}(V0,V2), p2-{F}(V2) | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #36: input, references = 4, size of lhs = 1:
% 0.18/0.50     pppp3-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #37: input, references = 3, size of lhs = 2:
% 0.18/0.50     pppp2-{F}(V0,V1), p3-{F}(V0) | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #38: input, references = 3, size of lhs = 1:
% 0.18/0.50     pppp2-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #39: input, references = 6, size of lhs = 1:
% 0.18/0.50     pppp1-{F}(V0,V1) | p2-{T}(V1)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #40: input, references = 3, size of lhs = 1:
% 0.18/0.50     pppp1-{F}(V0,V1) | EXISTS V2: pppp0-{T}(V2,V1)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #41: input, references = 6, size of lhs = 1:
% 0.18/0.50     pppp1-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #42: input, references = 3, size of lhs = 2:
% 0.18/0.50     pppp0-{F}(V0,V1), p3-{F}(V0) | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #43: input, references = 3, size of lhs = 1:
% 0.18/0.50     pppp0-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  number of initial rules = 44
% 0.18/0.50  
% 0.18/0.50  Simplifiers:
% 0.18/0.50  #44: unsound, references = 3, size of lhs = 3:
% 0.18/0.50     pppp0-{F}(V0,V1), pppp0-{F}(V2,V1), V0 == V2 | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #45: unsound, references = 3, size of lhs = 3:
% 0.18/0.50     pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #46: unsound, references = 3, size of lhs = 3:
% 0.18/0.50     pppp2-{F}(V0,V1), pppp2-{F}(V2,V1), V0 == V2 | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #47: unsound, references = 3, size of lhs = 3:
% 0.18/0.50     pppp3-{F}(V0,V1), pppp3-{F}(V2,V1), V0 == V2 | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #48: unsound, references = 3, size of lhs = 3:
% 0.18/0.50     pppp4-{F}(V0,V1), pppp4-{F}(V2,V1), V0 == V2 | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #49: unsound, references = 3, size of lhs = 3:
% 0.18/0.50     pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #50: unsound, references = 3, size of lhs = 3:
% 0.18/0.50     pppp5-{F}(V0,V1), pppp5-{F}(V2,V3), V0 == V2 | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #51: unsound, references = 3, size of lhs = 3:
% 0.18/0.50     pppp6-{F}(V0,V1), pppp6-{F}(V2,V1), V0 == V2 | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #52: unsound, references = 3, size of lhs = 3:
% 0.18/0.50     pppp7-{F}(V0,V1), pppp7-{F}(V2,V1), V0 == V2 | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #53: unsound, references = 3, size of lhs = 3:
% 0.18/0.50     pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #54: unsound, references = 3, size of lhs = 3:
% 0.18/0.50     pppp8-{F}(V0,V1), pppp8-{F}(V2,V3), V0 == V2 | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #55: unsound, references = 3, size of lhs = 3:
% 0.18/0.50     pppp9-{F}(V0,V1), pppp9-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #56: unsound, references = 3, size of lhs = 3:
% 0.18/0.50     pppp10-{F}(V0,V1), pppp10-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #57: unsound, references = 3, size of lhs = 3:
% 0.18/0.50     pppp10-{F}(V0,V1), pppp10-{F}(V2,V3), V0 == V2 | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #58: unsound, references = 3, size of lhs = 3:
% 0.18/0.50     pppp11-{F}(V0,V1), pppp11-{F}(V2,V1), V0 == V2 | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #59: unsound, references = 3, size of lhs = 3:
% 0.18/0.50     pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #60: unsound, references = 3, size of lhs = 3:
% 0.18/0.50     pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #61: unsound, references = 3, size of lhs = 3:
% 0.18/0.50     pppp15-{F}(V0), pppp15-{F}(V1), V0 == V1 | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  number of simplifiers = 18
% 0.18/0.50  
% 0.18/0.50  Learnt:
% 0.18/0.50  #70: disj( #10, input ), references = 2, size of lhs = 7:
% 0.18/0.50     pppp12-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), p2-{F}(V2), r1-{F}(V2,V3), r1-{F}(V2,V4), pppp9-{F}(V5,V3) | pppp16-{T}(V4)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #83: exists( #15, #81 ), references = 1, size of lhs = 4:
% 0.18/0.50     pppp12-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), pppp3-{F}(V2,V3) | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #88: exists( #11, #86 ), references = 2, size of lhs = 3:
% 0.18/0.50     pppp16-{F}(V0), pppp12-{F}(V1), r1-{F}(V1,V0) | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #96: mergings( V4 == V7; #94 ), references = 3, size of lhs = 8:
% 0.18/0.50     p2-{F}(V0), r1-{F}(V0,V1), pppp12-{F}(V2), r1-{F}(V2,V1), r1-{F}(V2,V3), r1-{F}(V3,V0), r1-{F}(V4,V0), pppp10-{F}(V5,V4) | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #104: mergings( V0 == V2; #102 ), references = 1, size of lhs = 4:
% 0.18/0.50     pppp12-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V0), pppp10-{F}(V2,V0) | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #114: mergings( V0 == V4; #112 ), references = 1, size of lhs = 5:
% 0.18/0.50     pppp12-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V0,V2), pppp10-{F}(V3,V2) | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #118: exists( #5, #116 ), references = 1, size of lhs = 1:
% 0.18/0.50     pppp12-{F}(V0) | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #121: exists( #2, #119 ), references = 1, size of lhs = 0:
% 0.18/0.50     FALSE | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  number of learnt formulas = 8
% 0.18/0.50  
% 0.18/0.50  
% 0.18/0.50  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.50  
% 0.18/0.50  randbase = 1
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