TSTP Solution File: LAT040-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : LAT040-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n022.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 0.77s 0.96s
% Output   : Refutation 0.77s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : LAT040-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.13  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n022.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 20:15:36 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.77/0.96  GeoParameters:
% 0.77/0.96  
% 0.77/0.96  tptp_input =     1
% 0.77/0.96  tptp_output =    0
% 0.77/0.96  nonempty =       1
% 0.77/0.96  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.77/0.96  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.77/0.96  
% 0.77/0.96  
% 0.77/0.96  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.77/0.96  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.77/0.96  
% 0.77/0.96  RuleSystem INPUT:
% 0.77/0.96  
% 0.77/0.96  Initial Rules:
% 0.77/0.96  #0: input, references = 4, size of lhs = 2:
% 0.77/0.96     P_meet-{F}(V0,V0,V1), V1 == V0 | FALSE
% 0.77/0.96        (used 0 times, uses = {})
% 0.77/0.96  
% 0.77/0.96  #1: input, references = 4, size of lhs = 2:
% 0.77/0.96     P_join-{F}(V0,V0,V1), V1 == V0 | FALSE
% 0.77/0.96        (used 0 times, uses = {})
% 0.77/0.96  
% 0.77/0.96  #2: input, references = 4, size of lhs = 3:
% 0.77/0.96     P_join-{F}(V0,V1,V2), P_meet-{F}(V0,V2,V3), V3 == V0 | FALSE
% 0.77/0.96        (used 0 times, uses = {})
% 0.77/0.96  
% 0.77/0.96  #3: input, references = 4, size of lhs = 3:
% 0.77/0.96     P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V2,V3), V3 == V0 | FALSE
% 0.77/0.96        (used 0 times, uses = {})
% 0.77/0.96  
% 0.77/0.96  #4: input, references = 4, size of lhs = 3:
% 0.77/0.96     P_meet-{F}(V0,V1,V2), P_meet-{F}(V1,V0,V3), V2 == V3 | FALSE
% 0.77/0.96        (used 0 times, uses = {})
% 0.77/0.96  
% 0.77/0.96  #5: input, references = 4, size of lhs = 3:
% 0.77/0.96     P_join-{F}(V0,V1,V2), P_join-{F}(V1,V0,V3), V2 == V3 | FALSE
% 0.77/0.96        (used 0 times, uses = {})
% 0.77/0.96  
% 0.77/0.96  #6: input, references = 4, size of lhs = 5:
% 0.77/0.96     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
% 0.77/0.96        (used 0 times, uses = {})
% 0.77/0.96  
% 0.77/0.96  #7: input, references = 3, size of lhs = 5:
% 0.77/0.96     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
% 0.77/0.96        (used 0 times, uses = {})
% 0.77/0.96  
% 0.77/0.96  #8: input, references = 3, size of lhs = 6:
% 0.77/0.96     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
% 0.77/0.96        (used 0 times, uses = {})
% 0.77/0.96  
% 0.77/0.96  #9: input, references = 5, size of lhs = 6:
% 0.77/0.96     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
% 0.77/0.96        (used 0 times, uses = {})
% 0.77/0.96  
% 0.77/0.96  #10: input, references = 5, size of lhs = 6:
% 0.77/0.96     P_xx-{F}(V0), P_yy-{F}(V1), P_join-{F}(V0,V1,V2), P_zz-{F}(V3), P_join-{F}(V0,V3,V4), V2 == V4 | FALSE
% 0.77/0.96        (used 0 times, uses = {})
% 0.77/0.96  
% 0.77/0.96  #11: input, references = 4, size of lhs = 8:
% 0.77/0.96     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}(V0,V1,V5), P_meet-{F}(V0,V3,V6), V5 == V6 | FALSE
% 0.77/0.96        (used 0 times, uses = {})
% 0.77/0.96  
% 0.77/0.96  #12: input, references = 4, size of lhs = 7:
% 0.77/0.96     P_xx-{F}(V0), P_yy-{F}(V3), P_join-{F}(V0,V3,V2), P_zz-{F}(V3), P_join-{F}(V0,V3,V4), P_meet-{F}(V0,V3,V5), P_meet-{F}(V0,V3,V6) | FALSE
% 0.77/0.96        (used 0 times, uses = {})
% 0.77/0.96  
% 0.77/0.96  #13: input, references = 12, size of lhs = 2:
% 0.77/0.96     #-{F} V0, #-{F} V1 | EXISTS V2: P_meet-{T}(V0,V1,V2)
% 0.77/0.96        (used 0 times, uses = {})
% 0.77/0.96  
% 0.77/0.96  #14: input, references = 8, size of lhs = 2:
% 0.77/0.96     #-{F} V0, #-{F} V1 | EXISTS V2: P_join-{T}(V0,V1,V2)
% 0.77/0.96        (used 0 times, uses = {})
% 0.77/0.96  
% 0.77/0.96  #15: input, references = 4, size of lhs = 0:
% 0.77/0.96     FALSE | EXISTS V0: P_xx-{T}(V0)
% 0.77/0.96        (used 0 times, uses = {})
% 0.77/0.96  
% 0.77/0.96  #16: input, references = 4, size of lhs = 0:
% 0.77/0.96     FALSE | EXISTS V0: P_yy-{T}(V0)
% 0.77/0.96        (used 0 times, uses = {})
% 0.77/0.96  
% 0.77/0.96  #17: input, references = 5, size of lhs = 0:
% 0.77/0.96     FALSE | EXISTS V0: P_zz-{T}(V0)
% 0.77/0.96        (used 0 times, uses = {})
% 0.77/0.96  
% 0.77/0.96  number of initial rules = 18
% 0.77/0.96  
% 0.77/0.96  Simplifiers:
% 0.77/0.96  #18: unsound, references = 3, size of lhs = 3:
% 0.77/0.96     P_meet-{F}(V0,V1,V2), P_meet-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.77/0.96        (used 0 times, uses = {})
% 0.77/0.96  
% 0.77/0.96  #19: unsound, references = 3, size of lhs = 3:
% 0.77/0.96     P_join-{F}(V0,V1,V2), P_join-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.77/0.96        (used 0 times, uses = {})
% 0.77/0.96  
% 0.77/0.96  #20: unsound, references = 3, size of lhs = 3:
% 0.77/0.96     P_xx-{F}(V0), P_xx-{F}(V1), V0 == V1 | FALSE
% 0.77/0.96        (used 0 times, uses = {})
% 0.77/0.96  
% 0.77/0.96  #21: unsound, references = 3, size of lhs = 3:
% 0.77/0.96     P_yy-{F}(V0), P_yy-{F}(V1), V0 == V1 | FALSE
% 0.77/0.96        (used 0 times, uses = {})
% 0.77/0.96  
% 0.77/0.96  #22: unsound, references = 3, size of lhs = 3:
% 0.77/0.96     P_zz-{F}(V0), P_zz-{F}(V1), V0 == V1 | FALSE
% 0.77/0.96        (used 0 times, uses = {})
% 0.77/0.96  
% 0.77/0.96  number of simplifiers = 5
% 0.77/0.96  
% 0.77/0.96  Learnt:
% 0.77/0.96  #24: exists( #13, #0 ), references = 1, size of lhs = 1:
% 0.77/0.96     #-{F} V0 | P_meet-{T}(V0,V0,V0)
% 0.77/0.96        (used 0 times, uses = {})
% 0.77/0.96  
% 0.77/0.96  #27: exists( #14, #1 ), references = 1, size of lhs = 1:
% 0.77/0.96     #-{F} V0 | P_join-{T}(V0,V0,V0)
% 0.77/0.96        (used 0 times, uses = {})
% 0.77/0.96  
% 0.77/0.96  #28: exists( #14, #3 ), references = 5, size of lhs = 1:
% 0.77/0.96     P_meet-{F}(V0,V1,V2) | P_join-{T}(V0,V2,V0)
% 0.77/0.96        (used 0 times, uses = {})
% 0.77/0.96  
% 0.77/0.96  #30: exists( #13, #4 ), references = 8, size of lhs = 1:
% 0.77/0.96     P_meet-{F}(V0,V1,V2) | P_meet-{T}(V1,V0,V2)
% 0.77/0.96        (used 0 times, uses = {})
% 0.77/0.96  
% 0.77/0.96  #35: exists( #14, #11 ), references = 2, size of lhs = 7:
% 0.77/0.96     P_xx-{F}(V0), P_yy-{F}(V1), P_join-{F}(V0,V1,V2), P_zz-{F}(V3), P_meet-{F}(V0,V1,V4), P_meet-{F}(V0,V3,V5), V4 == V5 | FALSE
% 0.77/0.96        (used 0 times, uses = {})
% 0.77/0.96  
% 0.77/0.96  #36: exists( #14, #5 ), references = 6, size of lhs = 1:
% 0.77/0.96     P_join-{F}(V0,V1,V2) | P_join-{T}(V1,V0,V2)
% 0.77/0.96        (used 0 times, uses = {})
% 0.77/0.96  
% 0.77/0.96  #39: exists( #13, #37 ), references = 1, size of lhs = 5:
% 0.77/0.96     P_xx-{F}(V0), P_yy-{F}(V1), P_join-{F}(V0,V1,V2), P_zz-{F}(V3), P_meet-{F}(V0,V1,V4) | P_meet-{T}(V3,V0,V4)
% 0.77/0.96        (used 0 times, uses = {})
% 0.77/0.96  
% 0.77/0.96  #47: mergings( V1 == V4, V2 == V5, V3 == V6; #43 ), references = 1, size of lhs = 4:
% 0.77/0.96     P_xx-{F}(V0), P_yy-{F}(V1), P_meet-{F}(V0,V1,V0), P_join-{F}(V0,V1,V2) | P_zz-{T}(V2)
% 0.77/0.96        (used 0 times, uses = {})
% 0.77/0.96  
% 0.77/0.96  #54: exists( #14, #10 ), references = 2, size of lhs = 4:
% 0.77/0.96     P_xx-{F}(V0), P_yy-{F}(V1), P_zz-{F}(V2), P_join-{F}(V0,V2,V3) | P_join-{T}(V0,V1,V3)
% 0.77/0.96        (used 0 times, uses = {})
% 0.77/0.96  
% 0.77/0.96  #57: exists( #13, #55 ), references = 4, size of lhs = 1:
% 0.77/0.96     P_join-{F}(V0,V1,V2) | P_meet-{T}(V2,V0,V0)
% 0.77/0.96        (used 0 times, uses = {})
% 0.77/0.96  
% 0.77/0.96  #60: exists( #13, #35 ), references = 2, size of lhs = 5:
% 0.77/0.96     P_xx-{F}(V0), P_yy-{F}(V1), P_join-{F}(V0,V1,V2), P_zz-{F}(V3), P_meet-{F}(V0,V3,V4) | P_meet-{T}(V0,V1,V4)
% 0.77/0.96        (used 0 times, uses = {})
% 0.77/0.96  
% 0.77/0.96  #99: exists( #13, #6 ), references = 2, size of lhs = 3:
% 0.77/0.96     P_meet-{F}(V0,V1,V2), P_meet-{F}(V1,V3,V4), P_meet-{F}(V0,V4,V5) | P_meet-{T}(V2,V3,V5)
% 0.77/0.96        (used 0 times, uses = {})
% 0.77/0.96  
% 0.77/0.96  #104: exists( #13, #102 ), references = 1, size of lhs = 5:
% 0.77/0.96     P_meet-{F}(V0,V1,V2), P_meet-{F}(V3,V2,V4), P_meet-{F}(V0,V5,V4), P_join-{F}(V3,V5,V6), P_meet-{F}(V0,V6,V7) | P_meet-{T}(V3,V0,V7)
% 0.77/0.96        (used 0 times, uses = {})
% 0.77/0.96  
% 0.77/0.96  #119: mergings( V0 == V4; #117 ), references = 1, size of lhs = 7:
% 0.77/0.96     P_xx-{F}(V0), P_yy-{F}(V1), P_zz-{F}(V2), V2 == V1, P_meet-{F}(V0,V2,V3), P_meet-{F}(V2,V3,V3), P_meet-{F}(V2,V0,V3) | FALSE
% 0.77/0.96        (used 0 times, uses = {})
% 0.77/0.96  
% 0.77/0.96  #125: exists( #13, #123 ), references = 1, size of lhs = 4:
% 0.77/0.96     P_xx-{F}(V0), P_yy-{F}(V1), P_zz-{F}(V2), V2 == V1 | FALSE
% 0.77/0.96        (used 0 times, uses = {})
% 0.77/0.96  
% 0.77/0.96  #127: exists( #17, #124 ), references = 1, size of lhs = 2:
% 0.77/0.96     P_xx-{F}(V0), P_yy-{F}(V1) | P_zz-{T}(V1)
% 0.77/0.96        (used 0 times, uses = {})
% 0.77/0.96  
% 0.77/0.96  #131: mergings( V3 == V4; #129 ), references = 1, size of lhs = 4:
% 0.77/0.96     P_xx-{F}(V0), P_yy-{F}(V1), P_zz-{F}(V1), P_meet-{F}(V0,V1,V2) | FALSE
% 0.77/0.96        (used 0 times, uses = {})
% 0.77/0.96  
% 0.77/0.96  #133: exists( #13, #129 ), references = 1, size of lhs = 3:
% 0.77/0.96     P_xx-{F}(V0), P_yy-{F}(V1), P_zz-{F}(V1) | FALSE
% 0.77/0.96        (used 0 times, uses = {})
% 0.77/0.96  
% 0.77/0.96  #137: mergings( V1 == V2; #135 ), references = 1, size of lhs = 1:
% 0.77/0.96     P_xx-{F}(V0) | FALSE
% 0.77/0.96        (used 0 times, uses = {})
% 0.77/0.96  
% 0.77/0.96  #139: exists( #15, #135 ), references = 1, size of lhs = 0:
% 0.77/0.96     FALSE | FALSE
% 0.77/0.96        (used 0 times, uses = {})
% 0.77/0.96  
% 0.77/0.96  number of learnt formulas = 20
% 0.77/0.96  
% 0.77/0.96  
% 0.77/0.96  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.77/0.96  
% 0.77/0.96  randbase = 1
%------------------------------------------------------------------------------