TSTP Solution File: LAT039-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : LAT039-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n019.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 06:07:50 EDT 2022

% Result   : Unsatisfiable 1.99s 2.16s
% Output   : Refutation 1.99s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LAT039-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n019.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 20:40:52 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.99/2.16  GeoParameters:
% 1.99/2.16  
% 1.99/2.16  tptp_input =     1
% 1.99/2.16  tptp_output =    0
% 1.99/2.16  nonempty =       1
% 1.99/2.16  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.99/2.16  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.99/2.16  
% 1.99/2.16  
% 1.99/2.16  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.99/2.16  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.99/2.16  
% 1.99/2.16  RuleSystem INPUT:
% 1.99/2.16  
% 1.99/2.16  Initial Rules:
% 1.99/2.16  #0: input, references = 4, size of lhs = 2:
% 1.99/2.16     P_meet-{F}(V0,V0,V1), V1 == V0 | FALSE
% 1.99/2.16        (used 0 times, uses = {})
% 1.99/2.16  
% 1.99/2.16  #1: input, references = 4, size of lhs = 2:
% 1.99/2.16     P_join-{F}(V0,V0,V1), V1 == V0 | FALSE
% 1.99/2.16        (used 0 times, uses = {})
% 1.99/2.16  
% 1.99/2.16  #2: input, references = 4, size of lhs = 3:
% 1.99/2.16     P_join-{F}(V0,V1,V2), P_meet-{F}(V0,V2,V3), V3 == V0 | FALSE
% 1.99/2.16        (used 0 times, uses = {})
% 1.99/2.16  
% 1.99/2.16  #3: input, references = 4, size of lhs = 3:
% 1.99/2.16     P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V2,V3), V3 == V0 | FALSE
% 1.99/2.16        (used 0 times, uses = {})
% 1.99/2.16  
% 1.99/2.16  #4: input, references = 4, size of lhs = 3:
% 1.99/2.16     P_meet-{F}(V0,V1,V2), P_meet-{F}(V1,V0,V3), V2 == V3 | FALSE
% 1.99/2.16        (used 0 times, uses = {})
% 1.99/2.16  
% 1.99/2.16  #5: input, references = 4, size of lhs = 3:
% 1.99/2.16     P_join-{F}(V0,V1,V2), P_join-{F}(V1,V0,V3), V2 == V3 | FALSE
% 1.99/2.16        (used 0 times, uses = {})
% 1.99/2.16  
% 1.99/2.16  #6: input, references = 4, size of lhs = 5:
% 1.99/2.16     P_meet-{F}(V0,V1,V3), P_meet-{F}(V3,V2,V4), P_meet-{F}(V1,V2,V5), P_meet-{F}(V0,V5,V6), V4 == V6 | FALSE
% 1.99/2.16        (used 0 times, uses = {})
% 1.99/2.16  
% 1.99/2.16  #7: input, references = 3, size of lhs = 5:
% 1.99/2.16     P_join-{F}(V0,V1,V3), P_join-{F}(V3,V2,V4), P_join-{F}(V1,V2,V5), P_join-{F}(V0,V5,V6), V4 == V6 | FALSE
% 1.99/2.16        (used 0 times, uses = {})
% 1.99/2.16  
% 1.99/2.16  #8: input, references = 5, size of lhs = 6:
% 1.99/2.16     P_meet-{F}(V1,V2,V3), P_join-{F}(V0,V3,V4), P_join-{F}(V0,V1,V5), P_join-{F}(V0,V2,V6), P_meet-{F}(V5,V6,V7), V4 == V7 | FALSE
% 1.99/2.16        (used 0 times, uses = {})
% 1.99/2.16  
% 1.99/2.16  #9: input, references = 5, size of lhs = 6:
% 1.99/2.16     P_join-{F}(V1,V2,V3), P_meet-{F}(V0,V3,V4), P_meet-{F}(V0,V1,V5), P_meet-{F}(V0,V2,V6), P_join-{F}(V5,V6,V7), V4 == V7 | FALSE
% 1.99/2.16        (used 0 times, uses = {})
% 1.99/2.16  
% 1.99/2.16  #10: input, references = 4, size of lhs = 4:
% 1.99/2.16     P_xx-{F}(V0), P_yy-{F}(V1), P_join-{F}(V0,V1,V2), V2 == V1 | FALSE
% 1.99/2.16        (used 0 times, uses = {})
% 1.99/2.16  
% 1.99/2.16  #11: input, references = 6, size of lhs = 8:
% 1.99/2.16     P_xx-{F}(V0), P_yy-{F}(V1), P_join-{F}(V0,V1,V2), P_zz-{F}(V3), P_meet-{F}(V1,V3,V4), P_join-{F}(V0,V4,V7), P_join-{F}(V0,V3,V6), P_meet-{F}(V1,V6,V7) | FALSE
% 1.99/2.16        (used 0 times, uses = {})
% 1.99/2.16  
% 1.99/2.16  #12: input, references = 12, size of lhs = 2:
% 1.99/2.16     #-{F} V0, #-{F} V1 | EXISTS V2: P_meet-{T}(V0,V1,V2)
% 1.99/2.16        (used 0 times, uses = {})
% 1.99/2.16  
% 1.99/2.16  #13: input, references = 9, size of lhs = 2:
% 1.99/2.16     #-{F} V0, #-{F} V1 | EXISTS V2: P_join-{T}(V0,V1,V2)
% 1.99/2.16        (used 0 times, uses = {})
% 1.99/2.16  
% 1.99/2.16  #14: input, references = 4, size of lhs = 0:
% 1.99/2.16     FALSE | EXISTS V0: P_xx-{T}(V0)
% 1.99/2.16        (used 0 times, uses = {})
% 1.99/2.16  
% 1.99/2.16  #15: input, references = 4, size of lhs = 0:
% 1.99/2.16     FALSE | EXISTS V0: P_yy-{T}(V0)
% 1.99/2.16        (used 0 times, uses = {})
% 1.99/2.16  
% 1.99/2.16  #16: input, references = 5, size of lhs = 0:
% 1.99/2.16     FALSE | EXISTS V0: P_zz-{T}(V0)
% 1.99/2.16        (used 0 times, uses = {})
% 1.99/2.16  
% 1.99/2.16  number of initial rules = 17
% 1.99/2.16  
% 1.99/2.16  Simplifiers:
% 1.99/2.16  #17: unsound, references = 3, size of lhs = 3:
% 1.99/2.16     P_meet-{F}(V0,V1,V2), P_meet-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.99/2.16        (used 0 times, uses = {})
% 1.99/2.16  
% 1.99/2.16  #18: unsound, references = 3, size of lhs = 3:
% 1.99/2.16     P_join-{F}(V0,V1,V2), P_join-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.99/2.16        (used 0 times, uses = {})
% 1.99/2.16  
% 1.99/2.16  #19: unsound, references = 3, size of lhs = 3:
% 1.99/2.16     P_xx-{F}(V0), P_xx-{F}(V1), V0 == V1 | FALSE
% 1.99/2.16        (used 0 times, uses = {})
% 1.99/2.16  
% 1.99/2.16  #20: unsound, references = 3, size of lhs = 3:
% 1.99/2.16     P_yy-{F}(V0), P_yy-{F}(V1), V0 == V1 | FALSE
% 1.99/2.16        (used 0 times, uses = {})
% 1.99/2.16  
% 1.99/2.16  #21: unsound, references = 3, size of lhs = 3:
% 1.99/2.16     P_zz-{F}(V0), P_zz-{F}(V1), V0 == V1 | FALSE
% 1.99/2.16        (used 0 times, uses = {})
% 1.99/2.16  
% 1.99/2.16  number of simplifiers = 5
% 1.99/2.16  
% 1.99/2.16  Learnt:
% 1.99/2.16  #23: exists( #12, #0 ), references = 1, size of lhs = 1:
% 1.99/2.16     #-{F} V0 | P_meet-{T}(V0,V0,V0)
% 1.99/2.16        (used 0 times, uses = {})
% 1.99/2.16  
% 1.99/2.16  #26: exists( #13, #1 ), references = 1, size of lhs = 1:
% 1.99/2.16     #-{F} V0 | P_join-{T}(V0,V0,V0)
% 1.99/2.16        (used 0 times, uses = {})
% 1.99/2.16  
% 1.99/2.16  #27: exists( #13, #3 ), references = 3, size of lhs = 1:
% 1.99/2.16     P_meet-{F}(V0,V1,V2) | P_join-{T}(V0,V2,V0)
% 1.99/2.16        (used 0 times, uses = {})
% 1.99/2.16  
% 1.99/2.16  #29: exists( #12, #4 ), references = 6, size of lhs = 1:
% 1.99/2.16     P_meet-{F}(V0,V1,V2) | P_meet-{T}(V1,V0,V2)
% 1.99/2.16        (used 0 times, uses = {})
% 1.99/2.16  
% 1.99/2.16  #33: exists( #13, #5 ), references = 5, size of lhs = 1:
% 1.99/2.16     P_join-{F}(V0,V1,V2) | P_join-{T}(V1,V0,V2)
% 1.99/2.16        (used 0 times, uses = {})
% 1.99/2.16  
% 1.99/2.16  #38: exists( #12, #6 ), references = 2, size of lhs = 3:
% 1.99/2.16     P_meet-{F}(V0,V1,V2), P_meet-{F}(V2,V3,V4), P_meet-{F}(V1,V3,V5) | P_meet-{T}(V0,V5,V4)
% 1.99/2.16        (used 0 times, uses = {})
% 1.99/2.16  
% 1.99/2.16  #40: exists( #12, #2 ), references = 3, size of lhs = 1:
% 1.99/2.16     P_join-{F}(V0,V1,V2) | P_meet-{T}(V0,V2,V0)
% 1.99/2.16        (used 0 times, uses = {})
% 1.99/2.16  
% 1.99/2.16  #44: exists( #13, #42 ), references = 1, size of lhs = 6:
% 1.99/2.16     P_xx-{F}(V0), P_yy-{F}(V0), P_join-{F}(V0,V0,V1), P_zz-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V0,V3,V0) | FALSE
% 1.99/2.16        (used 0 times, uses = {})
% 1.99/2.16  
% 1.99/2.16  #48: exists( #12, #46 ), references = 1, size of lhs = 4:
% 1.99/2.16     P_xx-{F}(V0), P_yy-{F}(V0), P_join-{F}(V0,V0,V1), P_zz-{F}(V2) | FALSE
% 1.99/2.16        (used 0 times, uses = {})
% 1.99/2.16  
% 1.99/2.16  #50: exists( #16, #47 ), references = 1, size of lhs = 3:
% 1.99/2.16     P_xx-{F}(V0), P_yy-{F}(V0), P_join-{F}(V0,V0,V1) | FALSE
% 1.99/2.16        (used 0 times, uses = {})
% 1.99/2.16  
% 1.99/2.16  #68: exists( #13, #10 ), references = 1, size of lhs = 2:
% 1.99/2.16     P_xx-{F}(V0), P_yy-{F}(V1) | P_join-{T}(V0,V1,V1)
% 1.99/2.16        (used 0 times, uses = {})
% 1.99/2.16  
% 1.99/2.16  #77: exists( #12, #75 ), references = 1, size of lhs = 7:
% 1.99/2.16     P_xx-{F}(V0), P_yy-{F}(V1), P_join-{F}(V0,V1,V2), P_zz-{F}(V3), P_join-{F}(V0,V3,V3), P_meet-{F}(V4,V3,V0), P_meet-{F}(V5,V1,V4) | FALSE
% 1.99/2.16        (used 0 times, uses = {})
% 1.99/2.16  
% 1.99/2.16  #86: exists( #12, #8 ), references = 1, size of lhs = 4:
% 1.99/2.16     P_meet-{F}(V0,V1,V2), P_join-{F}(V3,V2,V4), P_join-{F}(V3,V0,V5), P_join-{F}(V3,V1,V6) | P_meet-{T}(V5,V6,V4)
% 1.99/2.16        (used 0 times, uses = {})
% 1.99/2.16  
% 1.99/2.16  #87: exists( #12, #9 ), references = 1, size of lhs = 4:
% 1.99/2.16     P_join-{F}(V0,V1,V2), P_meet-{F}(V3,V0,V4), P_meet-{F}(V3,V1,V5), P_join-{F}(V4,V5,V6) | P_meet-{T}(V3,V2,V6)
% 1.99/2.16        (used 0 times, uses = {})
% 1.99/2.16  
% 1.99/2.16  #92: exists( #13, #9 ), references = 2, size of lhs = 4:
% 1.99/2.16     P_join-{F}(V0,V1,V2), P_meet-{F}(V3,V2,V4), P_meet-{F}(V3,V0,V5), P_meet-{F}(V3,V1,V6) | P_join-{T}(V5,V6,V4)
% 1.99/2.16        (used 0 times, uses = {})
% 1.99/2.16  
% 1.99/2.16  #93: exists( #13, #8 ), references = 1, size of lhs = 4:
% 1.99/2.16     P_meet-{F}(V0,V1,V2), P_join-{F}(V3,V0,V4), P_join-{F}(V3,V1,V5), P_meet-{F}(V4,V5,V6) | P_join-{T}(V3,V2,V6)
% 1.99/2.16        (used 0 times, uses = {})
% 1.99/2.16  
% 1.99/2.16  #99: exists( #12, #97 ), references = 1, size of lhs = 9:
% 1.99/2.16     P_xx-{F}(V0), P_yy-{F}(V1), P_join-{F}(V0,V1,V2), P_zz-{F}(V3), P_meet-{F}(V1,V3,V4), P_join-{F}(V0,V3,V5), P_meet-{F}(V1,V6,V4), P_meet-{F}(V1,V7,V0), P_join-{F}(V6,V7,V5) | FALSE
% 1.99/2.16        (used 0 times, uses = {})
% 1.99/2.16  
% 1.99/2.16  #102: exists( #12, #100 ), references = 1, size of lhs = 7:
% 1.99/2.16     P_xx-{F}(V0), P_yy-{F}(V1), P_join-{F}(V0,V1,V2), P_zz-{F}(V3), P_join-{F}(V0,V3,V4), P_meet-{F}(V1,V5,V0), P_join-{F}(V3,V5,V4) | FALSE
% 1.99/2.16        (used 0 times, uses = {})
% 1.99/2.16  
% 1.99/2.16  #105: exists( #13, #103 ), references = 1, size of lhs = 5:
% 1.99/2.16     P_xx-{F}(V0), P_yy-{F}(V1), P_meet-{F}(V1,V0,V0), P_join-{F}(V0,V1,V2), P_zz-{F}(V3) | FALSE
% 1.99/2.16        (used 0 times, uses = {})
% 1.99/2.16  
% 1.99/2.16  #107: exists( #16, #104 ), references = 1, size of lhs = 4:
% 1.99/2.16     P_xx-{F}(V0), P_yy-{F}(V1), P_meet-{F}(V1,V0,V0), P_join-{F}(V0,V1,V2) | FALSE
% 1.99/2.16        (used 0 times, uses = {})
% 1.99/2.16  
% 1.99/2.16  #112: exists( #15, #110 ), references = 1, size of lhs = 1:
% 1.99/2.16     P_xx-{F}(V0) | FALSE
% 1.99/2.16        (used 0 times, uses = {})
% 1.99/2.16  
% 1.99/2.16  #114: exists( #14, #111 ), references = 1, size of lhs = 0:
% 1.99/2.16     FALSE | FALSE
% 1.99/2.16        (used 0 times, uses = {})
% 1.99/2.16  
% 1.99/2.16  number of learnt formulas = 22
% 1.99/2.16  
% 1.99/2.16  
% 1.99/2.16  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.99/2.16  
% 1.99/2.16  randbase = 1
%------------------------------------------------------------------------------