TSTP Solution File: LCL650+1.001 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : LCL650+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n010.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 06:09:37 EDT 2022

% Result   : Theorem 0.19s 0.48s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL650+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n010.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 21:54:41 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.48  GeoParameters:
% 0.19/0.48  
% 0.19/0.48  tptp_input =     1
% 0.19/0.48  tptp_output =    0
% 0.19/0.48  nonempty =       1
% 0.19/0.48  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.48  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.19/0.48  
% 0.19/0.48  
% 0.19/0.48  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.48  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.48  
% 0.19/0.48  RuleSystem INPUT:
% 0.19/0.48  
% 0.19/0.48  Initial Rules:
% 0.19/0.48  #0: input, references = 4, size of lhs = 0:
% 0.19/0.48     FALSE | EXISTS V0: pppp13-{T}(V0)
% 0.19/0.48        (used 0 times, uses = {})
% 0.19/0.48  
% 0.19/0.48  #1: input, references = 4, size of lhs = 1:
% 0.19/0.48     pppp13-{F}(V0) | pppp12-{T}(V0)
% 0.19/0.48        (used 0 times, uses = {})
% 0.19/0.48  
% 0.19/0.48  #2: input, references = 4, size of lhs = 1:
% 0.19/0.48     pppp12-{F}(V0) | EXISTS V1: pppp11-{T}(V0,V1)
% 0.19/0.48        (used 0 times, uses = {})
% 0.19/0.48  
% 0.19/0.48  #3: input, references = 5, size of lhs = 3:
% 0.19/0.48     pppp12-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2) | pppp7-{T}(V2)
% 0.19/0.48        (used 0 times, uses = {})
% 0.19/0.48  
% 0.19/0.48  #4: input, references = 3, size of lhs = 2:
% 0.19/0.48     pppp12-{F}(V0), r1-{F}(V0,V1) | EXISTS V2: pppp5-{T}(V2,V1)
% 0.19/0.48        (used 0 times, uses = {})
% 0.19/0.48  
% 0.19/0.48  #5: input, references = 3, size of lhs = 7:
% 0.19/0.48     pppp12-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), p1-{F}(V4), p3-{F}(V4) | FALSE
% 0.19/0.48        (used 0 times, uses = {})
% 0.19/0.48  
% 0.19/0.48  #6: input, references = 4, size of lhs = 5:
% 0.19/0.48     pppp12-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4) | p3-{T}(V4), p1-{T}(V4)
% 0.19/0.48        (used 0 times, uses = {})
% 0.19/0.48  
% 0.19/0.48  #7: input, references = 3, size of lhs = 1:
% 0.19/0.48     pppp12-{F}(V0) | EXISTS V1: pppp4-{T}(V0,V1)
% 0.19/0.48        (used 0 times, uses = {})
% 0.19/0.48  
% 0.19/0.48  #8: input, references = 3, size of lhs = 1:
% 0.19/0.48     pppp12-{F}(V0) | EXISTS V1: pppp3-{T}(V0,V1)
% 0.19/0.48        (used 0 times, uses = {})
% 0.19/0.48  
% 0.19/0.48  #9: input, references = 4, size of lhs = 1:
% 0.19/0.48     pppp11-{F}(V0,V1) | EXISTS V2: pppp10-{T}(V2,V1)
% 0.19/0.48        (used 0 times, uses = {})
% 0.19/0.48  
% 0.19/0.48  #10: input, references = 4, size of lhs = 1:
% 0.19/0.48     pppp11-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.19/0.48        (used 0 times, uses = {})
% 0.19/0.48  
% 0.19/0.48  #11: input, references = 4, size of lhs = 1:
% 0.19/0.48     pppp10-{F}(V0,V1) | EXISTS V2: pppp9-{T}(V0,V2)
% 0.19/0.48        (used 0 times, uses = {})
% 0.19/0.48  
% 0.19/0.48  #12: input, references = 4, size of lhs = 1:
% 0.19/0.48     pppp10-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.19/0.48        (used 0 times, uses = {})
% 0.19/0.48  
% 0.19/0.48  #13: input, references = 4, size of lhs = 1:
% 0.19/0.48     pppp9-{F}(V0,V1) | EXISTS V2: pppp8-{T}(V2,V1)
% 0.19/0.48        (used 0 times, uses = {})
% 0.19/0.48  
% 0.19/0.48  #14: input, references = 4, size of lhs = 1:
% 0.19/0.48     pppp9-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.19/0.48        (used 0 times, uses = {})
% 0.19/0.48  
% 0.19/0.48  #15: input, references = 3, size of lhs = 5:
% 0.19/0.48     pppp8-{F}(V0,V1), p4-{F}(V0), p3-{F}(V0), p2-{F}(V0), p1-{F}(V0) | FALSE
% 0.19/0.48        (used 0 times, uses = {})
% 0.19/0.48  
% 0.19/0.48  #16: input, references = 4, size of lhs = 1:
% 0.19/0.48     pppp8-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.19/0.48        (used 0 times, uses = {})
% 0.19/0.48  
% 0.19/0.48  #17: input, references = 6, size of lhs = 5:
% 0.19/0.48     pppp7-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), p2-{F}(V2), p1-{F}(V2) | FALSE
% 0.19/0.48        (used 0 times, uses = {})
% 0.19/0.48  
% 0.19/0.48  #18: input, references = 4, size of lhs = 3:
% 0.19/0.48     pppp7-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2) | p1-{T}(V2), p2-{T}(V2)
% 0.19/0.48        (used 0 times, uses = {})
% 0.19/0.48  
% 0.19/0.48  #19: input, references = 4, size of lhs = 1:
% 0.19/0.48     pppp7-{F}(V0) | EXISTS V1: pppp6-{T}(V0,V1)
% 0.19/0.48        (used 0 times, uses = {})
% 0.19/0.48  
% 0.19/0.48  #20: input, references = 3, size of lhs = 5:
% 0.19/0.48     pppp7-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), p3-{F}(V2), p2-{F}(V2) | FALSE
% 0.19/0.48        (used 0 times, uses = {})
% 0.19/0.48  
% 0.19/0.48  #21: input, references = 5, size of lhs = 3:
% 0.19/0.48     pppp7-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2) | p2-{T}(V2), p3-{T}(V2)
% 0.19/0.48        (used 0 times, uses = {})
% 0.19/0.48  
% 0.19/0.48  #22: input, references = 3, size of lhs = 2:
% 0.19/0.48     pppp6-{F}(V0,V1), p3-{F}(V1) | FALSE
% 0.19/0.48        (used 0 times, uses = {})
% 0.19/0.48  
% 0.19/0.48  #23: input, references = 4, size of lhs = 1:
% 0.19/0.48     pppp6-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.19/0.48        (used 0 times, uses = {})
% 0.19/0.48  
% 0.19/0.48  #24: input, references = 3, size of lhs = 2:
% 0.19/0.48     pppp5-{F}(V0,V1), p4-{F}(V0) | FALSE
% 0.19/0.48        (used 0 times, uses = {})
% 0.19/0.48  
% 0.19/0.48  #25: input, references = 3, size of lhs = 1:
% 0.19/0.48     pppp5-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.19/0.48        (used 0 times, uses = {})
% 0.19/0.48  
% 0.19/0.48  #26: input, references = 3, size of lhs = 2:
% 0.19/0.48     pppp4-{F}(V0,V1), p5-{F}(V1) | FALSE
% 0.19/0.48        (used 0 times, uses = {})
% 0.19/0.48  
% 0.19/0.48  #27: input, references = 3, size of lhs = 1:
% 0.19/0.48     pppp4-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.19/0.48        (used 0 times, uses = {})
% 0.19/0.48  
% 0.19/0.48  #28: input, references = 4, size of lhs = 1:
% 0.19/0.48     pppp3-{F}(V0,V1) | EXISTS V2: pppp2-{T}(V2,V1)
% 0.19/0.48        (used 0 times, uses = {})
% 0.19/0.48  
% 0.19/0.48  #29: input, references = 3, size of lhs = 1:
% 0.19/0.48     pppp3-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.19/0.48        (used 0 times, uses = {})
% 0.19/0.48  
% 0.19/0.48  #30: input, references = 3, size of lhs = 1:
% 0.19/0.48     pppp2-{F}(V0,V1) | EXISTS V2: pppp1-{T}(V0,V2)
% 0.19/0.48        (used 0 times, uses = {})
% 0.19/0.48  
% 0.19/0.48  #31: input, references = 4, size of lhs = 1:
% 0.19/0.48     pppp2-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.19/0.48        (used 0 times, uses = {})
% 0.19/0.48  
% 0.19/0.48  #32: input, references = 3, size of lhs = 1:
% 0.19/0.48     pppp1-{F}(V0,V1) | EXISTS V2: pppp0-{T}(V2,V1)
% 0.19/0.48        (used 0 times, uses = {})
% 0.19/0.48  
% 0.19/0.48  #33: input, references = 3, size of lhs = 1:
% 0.19/0.48     pppp1-{F}(V0,V1) | r1-{T}(V0,V1)
% 0.19/0.48        (used 0 times, uses = {})
% 0.19/0.48  
% 0.19/0.48  #34: input, references = 3, size of lhs = 1:
% 0.19/0.48     pppp0-{F}(V0,V1) | p8-{T}(V0), p6-{T}(V0), p4-{T}(V0), p2-{T}(V0)
% 0.19/0.48        (used 0 times, uses = {})
% 0.19/0.48  
% 0.19/0.48  #35: input, references = 3, size of lhs = 1:
% 0.19/0.48     pppp0-{F}(V0,V1) | r1-{T}(V1,V0)
% 0.19/0.48        (used 0 times, uses = {})
% 0.19/0.48  
% 0.19/0.48  number of initial rules = 36
% 0.19/0.48  
% 0.19/0.48  Simplifiers:
% 0.19/0.48  #36: unsound, references = 3, size of lhs = 3:
% 0.19/0.48     pppp0-{F}(V0,V1), pppp0-{F}(V2,V1), V0 == V2 | FALSE
% 0.19/0.48        (used 0 times, uses = {})
% 0.19/0.48  
% 0.19/0.48  #37: unsound, references = 3, size of lhs = 3:
% 0.19/0.48     pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.48        (used 0 times, uses = {})
% 0.19/0.48  
% 0.19/0.48  #38: unsound, references = 3, size of lhs = 3:
% 0.19/0.48     pppp2-{F}(V0,V1), pppp2-{F}(V2,V1), V0 == V2 | FALSE
% 0.19/0.48        (used 0 times, uses = {})
% 0.19/0.48  
% 0.19/0.48  #39: unsound, references = 3, size of lhs = 3:
% 0.19/0.48     pppp3-{F}(V0,V1), pppp3-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.48        (used 0 times, uses = {})
% 0.19/0.48  
% 0.19/0.48  #40: unsound, references = 3, size of lhs = 3:
% 0.19/0.48     pppp3-{F}(V0,V1), pppp3-{F}(V2,V3), V0 == V2 | FALSE
% 0.19/0.48        (used 0 times, uses = {})
% 0.19/0.48  
% 0.19/0.48  #41: unsound, references = 3, size of lhs = 3:
% 0.19/0.48     pppp4-{F}(V0,V1), pppp4-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.48        (used 0 times, uses = {})
% 0.19/0.48  
% 0.19/0.48  #42: unsound, references = 3, size of lhs = 3:
% 0.19/0.48     pppp4-{F}(V0,V1), pppp4-{F}(V2,V3), V0 == V2 | FALSE
% 0.19/0.48        (used 0 times, uses = {})
% 0.19/0.48  
% 0.19/0.48  #43: unsound, references = 3, size of lhs = 3:
% 0.19/0.48     pppp5-{F}(V0,V1), pppp5-{F}(V2,V1), V0 == V2 | FALSE
% 0.19/0.48        (used 0 times, uses = {})
% 0.19/0.48  
% 0.19/0.48  #44: unsound, references = 3, size of lhs = 3:
% 0.19/0.48     pppp6-{F}(V0,V1), pppp6-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.48        (used 0 times, uses = {})
% 0.19/0.48  
% 0.19/0.48  #45: unsound, references = 3, size of lhs = 3:
% 0.19/0.48     pppp8-{F}(V0,V1), pppp8-{F}(V2,V1), V0 == V2 | FALSE
% 0.19/0.48        (used 0 times, uses = {})
% 0.19/0.48  
% 0.19/0.48  #46: unsound, references = 3, size of lhs = 3:
% 0.19/0.48     pppp9-{F}(V0,V1), pppp9-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.48        (used 0 times, uses = {})
% 0.19/0.48  
% 0.19/0.48  #47: unsound, references = 3, size of lhs = 3:
% 0.19/0.48     pppp10-{F}(V0,V1), pppp10-{F}(V2,V1), V0 == V2 | FALSE
% 0.19/0.48        (used 0 times, uses = {})
% 0.19/0.48  
% 0.19/0.48  #48: unsound, references = 3, size of lhs = 3:
% 0.19/0.48     pppp11-{F}(V0,V1), pppp11-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.48        (used 0 times, uses = {})
% 0.19/0.48  
% 0.19/0.48  #49: unsound, references = 3, size of lhs = 3:
% 0.19/0.48     pppp11-{F}(V0,V1), pppp11-{F}(V2,V3), V0 == V2 | FALSE
% 0.19/0.48        (used 0 times, uses = {})
% 0.19/0.48  
% 0.19/0.48  #50: unsound, references = 3, size of lhs = 3:
% 0.19/0.48     pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 0.19/0.48        (used 0 times, uses = {})
% 0.19/0.48  
% 0.19/0.48  #51: unsound, references = 3, size of lhs = 3:
% 0.19/0.49     pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 0.19/0.49        (used 0 times, uses = {})
% 0.19/0.49  
% 0.19/0.49  number of simplifiers = 16
% 0.19/0.49  
% 0.19/0.49  Learnt:
% 0.19/0.49  #54: disj( #21, input ), references = 2, size of lhs = 4:
% 0.19/0.49     pppp7-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), pppp6-{F}(V3,V2) | p2-{T}(V2)
% 0.19/0.49        (used 0 times, uses = {})
% 0.19/0.49  
% 0.19/0.49  #57: disj( #6, input ), references = 2, size of lhs = 6:
% 0.19/0.49     pppp12-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), pppp6-{F}(V5,V4) | p1-{T}(V4)
% 0.19/0.49        (used 0 times, uses = {})
% 0.19/0.49  
% 0.19/0.49  #58: disj( #6, input ), references = 2, size of lhs = 9:
% 0.19/0.49     pppp12-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), r1-{F}(V2,V3), r1-{F}(V3,V4), p2-{F}(V4), pppp7-{F}(V5), r1-{F}(V5,V6), r1-{F}(V6,V4) | p1-{T}(V4)
% 0.19/0.49        (used 0 times, uses = {})
% 0.19/0.49  
% 0.19/0.49  #65: exists( #19, #63 ), references = 2, size of lhs = 9:
% 0.19/0.49     pppp7-{F}(V0), pppp7-{F}(V1), r1-{F}(V1,V0), pppp12-{F}(V2), r1-{F}(V2,V3), r1-{F}(V3,V4), r1-{F}(V4,V0), pppp7-{F}(V5), r1-{F}(V5,V0) | FALSE
% 0.19/0.49        (used 0 times, uses = {})
% 0.19/0.49  
% 0.19/0.49  #78: disj( #18, #58+#17 ), references = 2, size of lhs = 14:
% 0.19/0.49     pppp7-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), pppp12-{F}(V3), r1-{F}(V3,V4), r1-{F}(V4,V5), r1-{F}(V5,V6), r1-{F}(V6,V2), pppp7-{F}(V7), r1-{F}(V7,V8), r1-{F}(V8,V2), pppp7-{F}(V9), r1-{F}(V9,V10), r1-{F}(V10,V2) | p1-{T}(V2)
% 0.19/0.49        (used 0 times, uses = {})
% 0.19/0.49  
% 0.19/0.49  #82: disj( #21, input ), references = 2, size of lhs = 9:
% 0.19/0.49     pppp7-{F}(V0), r1-{F}(V0,V1), r1-{F}(V1,V2), p1-{F}(V2), pppp12-{F}(V3), r1-{F}(V3,V4), r1-{F}(V4,V5), r1-{F}(V5,V6), r1-{F}(V6,V2) | p2-{T}(V2)
% 0.19/0.49        (used 0 times, uses = {})
% 0.19/0.49  
% 0.19/0.49  #94: mergings( V3 == V4; #92 ), references = 1, size of lhs = 6:
% 0.19/0.49     pppp7-{F}(V0), pppp3-{F}(V1,V0), pppp12-{F}(V2), r1-{F}(V2,V0), r1-{F}(V2,V3), r1-{F}(V3,V0) | FALSE
% 0.19/0.49        (used 0 times, uses = {})
% 0.19/0.49  
% 0.19/0.49  #134: mergings( V4 == V10; #132 ), references = 1, size of lhs = 18:
% 0.19/0.49     pppp7-{F}(V0), r1-{F}(V0,V1), pppp9-{F}(V2,V1), pppp7-{F}(V3), r1-{F}(V3,V1), pppp7-{F}(V4), r1-{F}(V4,V1), pppp7-{F}(V5), r1-{F}(V5,V1), pppp12-{F}(V6), r1-{F}(V6,V7), r1-{F}(V7,V8), r1-{F}(V8,V1), r1-{F}(V6,V9), r1-{F}(V9,V10), r1-{F}(V10,V1), pppp7-{F}(V11), r1-{F}(V11,V1) | FALSE
% 0.19/0.49        (used 0 times, uses = {})
% 0.19/0.49  
% 0.19/0.49  #138: mergings( V3 == V5; #136 ), references = 1, size of lhs = 7:
% 0.19/0.49     pppp7-{F}(V0), pppp10-{F}(V0,V1), pppp12-{F}(V2), r1-{F}(V2,V3), r1-{F}(V3,V0), r1-{F}(V2,V4), r1-{F}(V4,V0) | FALSE
% 0.19/0.49        (used 0 times, uses = {})
% 0.19/0.49  
% 0.19/0.49  #144: mergings( V3 == V4, V4 == V5; #141 ), references = 1, size of lhs = 3:
% 0.19/0.49     pppp12-{F}(V0), r1-{F}(V0,V1), pppp11-{F}(V2,V1) | FALSE
% 0.19/0.49        (used 0 times, uses = {})
% 0.19/0.49  
% 0.19/0.49  #147: exists( #2, #145 ), references = 1, size of lhs = 1:
% 0.19/0.49     pppp12-{F}(V0) | FALSE
% 0.19/0.49        (used 0 times, uses = {})
% 0.19/0.49  
% 0.19/0.49  #150: exists( #0, #148 ), references = 1, size of lhs = 0:
% 0.19/0.49     FALSE | FALSE
% 0.19/0.49        (used 0 times, uses = {})
% 0.19/0.49  
% 0.19/0.49  number of learnt formulas = 12
% 0.19/0.49  
% 0.19/0.49  
% 0.19/0.49  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.49  
% 0.19/0.49  randbase = 1
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