TSTP Solution File: LCL672+1.001 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : LCL672+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n020.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 06:09:49 EDT 2022

% Result   : Theorem 0.19s 0.44s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : LCL672+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 : n020.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 22:59:54 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.44  GeoParameters:
% 0.19/0.44  
% 0.19/0.44  tptp_input =     1
% 0.19/0.44  tptp_output =    0
% 0.19/0.44  nonempty =       1
% 0.19/0.44  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.19/0.44  
% 0.19/0.44  
% 0.19/0.44  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44  
% 0.19/0.44  RuleSystem INPUT:
% 0.19/0.44  
% 0.19/0.44  Initial Rules:
% 0.19/0.44  #0: input, references = 4, size of lhs = 1:
% 0.19/0.44     #-{F} V0 | r1-{T}(V0,V0)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #1: input, references = 4, size of lhs = 2:
% 0.19/0.44     r1-{F}(V0,V1), r1-{F}(V2,V0) | r1-{T}(V2,V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #2: input, references = 4, size of lhs = 0:
% 0.19/0.44     FALSE | EXISTS V0: pppp11-{T}(V0)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #3: input, references = 4, size of lhs = 1:
% 0.19/0.44     pppp11-{F}(V0) | pppp10-{T}(V0)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #4: input, references = 4, size of lhs = 1:
% 0.19/0.44     pppp10-{F}(V0) | EXISTS V1: pppp9-{T}(V0,V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #5: input, references = 4, size of lhs = 1:
% 0.19/0.44     pppp10-{F}(V0) | EXISTS V1: pppp8-{T}(V0,V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #6: input, references = 5, size of lhs = 1:
% 0.19/0.44     pppp10-{F}(V0) | EXISTS V1: pppp5-{T}(V0,V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #7: input, references = 3, size of lhs = 4:
% 0.19/0.44     pppp10-{F}(V0), r1-{F}(V0,V1), r1-{F}(V0,V2), r1-{F}(V0,V3) | p2-{T}(V1), pppp12-{T}(V2), p1-{T}(V3)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #8: input, references = 3, size of lhs = 1:
% 0.19/0.44     pppp12-{F}(V0) | EXISTS V1: pppp4-{T}(V0,V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #9: input, references = 4, size of lhs = 6:
% 0.19/0.44     pppp10-{F}(V0), r1-{F}(V0,V1), r1-{F}(V0,V2), r1-{F}(V2,V3), r1-{F}(V2,V4), r1-{F}(V0,V5) | p2-{T}(V1), pppp13-{T}(V3), pppp14-{T}(V4), p1-{T}(V5)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #10: input, references = 3, size of lhs = 1:
% 0.19/0.44     pppp13-{F}(V0) | EXISTS V1: pppp2-{T}(V0,V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #11: input, references = 3, size of lhs = 1:
% 0.19/0.44     pppp14-{F}(V0) | EXISTS V1: pppp3-{T}(V0,V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #12: input, references = 4, size of lhs = 7:
% 0.19/0.44     pppp10-{F}(V0), r1-{F}(V0,V1), r1-{F}(V0,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V3,V5), r1-{F}(V0,V6) | p2-{T}(V1), pppp15-{T}(V4), p1-{T}(V5), p1-{T}(V6)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #13: input, references = 4, size of lhs = 1:
% 0.19/0.44     pppp15-{F}(V0) | EXISTS V1: pppp1-{T}(V1,V0)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #14: input, references = 4, size of lhs = 6:
% 0.19/0.44     pppp10-{F}(V0), r1-{F}(V0,V1), r1-{F}(V0,V2), r1-{F}(V2,V3), p1-{F}(V2), r1-{F}(V0,V4) | p2-{T}(V1), pppp16-{T}(V3), p1-{T}(V4)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #15: input, references = 3, size of lhs = 1:
% 0.19/0.44     pppp16-{F}(V0) | EXISTS V1: pppp0-{T}(V0,V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #16: input, references = 3, size of lhs = 2:
% 0.19/0.44     pppp9-{F}(V0,V1), p1-{F}(V1) | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #17: input, references = 4, size of lhs = 1:
% 0.19/0.44     pppp9-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #18: input, references = 3, size of lhs = 1:
% 0.19/0.44     pppp8-{F}(V0,V1) | EXISTS V2: pppp7-{T}(V2,V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #19: input, references = 5, size of lhs = 1:
% 0.19/0.44     pppp8-{F}(V0,V1) | EXISTS V2: pppp6-{T}(V2,V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #20: input, references = 4, size of lhs = 1:
% 0.19/0.44     pppp8-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #21: input, references = 3, size of lhs = 2:
% 0.19/0.44     pppp7-{F}(V0,V1), p1-{F}(V0) | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #22: input, references = 3, size of lhs = 1:
% 0.19/0.44     pppp7-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #23: input, references = 4, size of lhs = 2:
% 0.19/0.44     pppp6-{F}(V0,V1), r1-{F}(V0,V2) | p1-{T}(V2)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #24: input, references = 5, size of lhs = 1:
% 0.19/0.44     pppp6-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #25: input, references = 3, size of lhs = 2:
% 0.19/0.44     pppp5-{F}(V0,V1), p2-{F}(V1) | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #26: input, references = 5, size of lhs = 1:
% 0.19/0.44     pppp5-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #27: input, references = 3, size of lhs = 1:
% 0.19/0.44     pppp4-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #28: input, references = 3, size of lhs = 2:
% 0.19/0.44     pppp3-{F}(V0,V1), p1-{F}(V1) | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #29: input, references = 3, size of lhs = 1:
% 0.19/0.44     pppp3-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #30: input, references = 3, size of lhs = 2:
% 0.19/0.44     pppp2-{F}(V0,V1), r1-{F}(V1,V2) | p1-{T}(V2)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #31: input, references = 3, size of lhs = 1:
% 0.19/0.44     pppp2-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #32: input, references = 4, size of lhs = 2:
% 0.19/0.44     pppp1-{F}(V0,V1), p1-{F}(V0) | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #33: input, references = 4, size of lhs = 1:
% 0.19/0.44     pppp1-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #34: input, references = 3, size of lhs = 1:
% 0.19/0.44     pppp0-{F}(V0,V1) | p1-{T}(V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #35: input, references = 3, size of lhs = 1:
% 0.19/0.44     pppp0-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  number of initial rules = 36
% 0.19/0.44  
% 0.19/0.44  Simplifiers:
% 0.19/0.44  #36: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #37: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp1-{F}(V0,V1), pppp1-{F}(V2,V1), V0 == V2 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #38: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #39: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp3-{F}(V0,V1), pppp3-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #40: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp4-{F}(V0,V1), pppp4-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #41: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #42: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp5-{F}(V0,V1), pppp5-{F}(V2,V3), V0 == V2 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #43: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp6-{F}(V0,V1), pppp6-{F}(V2,V1), V0 == V2 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #44: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp7-{F}(V0,V1), pppp7-{F}(V2,V1), V0 == V2 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #45: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #46: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp8-{F}(V0,V1), pppp8-{F}(V2,V3), V0 == V2 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #47: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp9-{F}(V0,V1), pppp9-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #48: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp9-{F}(V0,V1), pppp9-{F}(V2,V3), V0 == V2 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #49: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #50: unsound, references = 3, size of lhs = 3:
% 0.19/0.44     pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  number of simplifiers = 15
% 0.19/0.44  
% 0.19/0.44  Learnt:
% 0.19/0.44  #54: mergings( V8 == V9, V5 == V6; #51 ), references = 3, size of lhs = 9:
% 0.19/0.44     pppp10-{F}(V0), r1-{F}(V0,V1), r1-{F}(V0,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V3,V5), r1-{F}(V0,V5), pppp5-{F}(V6,V1), pppp9-{F}(V7,V5) | pppp15-{T}(V4)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #61: disj( #14, input, input ), references = 1, size of lhs = 8:
% 0.19/0.44     pppp10-{F}(V0), r1-{F}(V0,V1), r1-{F}(V0,V2), p1-{F}(V2), r1-{F}(V2,V3), r1-{F}(V0,V4), pppp5-{F}(V5,V1), pppp9-{F}(V6,V4) | pppp16-{T}(V3)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #67: exists( #13, #64 ), references = 2, size of lhs = 2:
% 0.19/0.44     pppp15-{F}(V0), pppp6-{F}(V0,V1) | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #71: exists( #19, #69 ), references = 2, size of lhs = 9:
% 0.19/0.44     pppp10-{F}(V0), r1-{F}(V0,V1), r1-{F}(V0,V2), r1-{F}(V2,V3), pppp8-{F}(V4,V3), r1-{F}(V3,V5), r1-{F}(V0,V5), pppp5-{F}(V6,V1), pppp9-{F}(V7,V5) | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #74: exists( #6, #72 ), references = 1, size of lhs = 7:
% 0.19/0.44     pppp10-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), pppp8-{F}(V3,V2), r1-{F}(V2,V4), r1-{F}(V0,V4), pppp9-{F}(V5,V4) | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #76: disj( #9, input, input ), references = 1, size of lhs = 8:
% 0.19/0.44     pppp10-{F}(V0), r1-{F}(V0,V1), r1-{F}(V0,V2), r1-{F}(V2,V3), r1-{F}(V2,V4), r1-{F}(V0,V5), pppp5-{F}(V6,V1), pppp9-{F}(V7,V5) | pppp13-{T}(V3), pppp14-{T}(V4)
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #83: exists( #19, #81 ), references = 2, size of lhs = 10:
% 0.19/0.44     pppp10-{F}(V0), r1-{F}(V0,V1), r1-{F}(V0,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), pppp8-{F}(V5,V4), r1-{F}(V3,V6), r1-{F}(V0,V6), pppp5-{F}(V7,V1), pppp9-{F}(V8,V6) | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #86: exists( #6, #84 ), references = 1, size of lhs = 8:
% 0.19/0.44     pppp10-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), pppp8-{F}(V4,V3), r1-{F}(V2,V5), r1-{F}(V0,V5), pppp9-{F}(V6,V5) | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #90: mergings( V0 == V2; #88 ), references = 2, size of lhs = 5:
% 0.19/0.44     pppp10-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V0), r1-{F}(V0,V2), pppp9-{F}(V3,V2) | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #93: exists( #4, #91 ), references = 1, size of lhs = 3:
% 0.19/0.44     pppp10-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V0) | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  #97: exists( #2, #95 ), references = 1, size of lhs = 0:
% 0.19/0.44     FALSE | FALSE
% 0.19/0.44        (used 0 times, uses = {})
% 0.19/0.44  
% 0.19/0.44  number of learnt formulas = 11
% 0.19/0.44  
% 0.19/0.44  
% 0.19/0.44  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44  
% 0.19/0.44  randbase = 1
%------------------------------------------------------------------------------