TSTP Solution File: LAT028-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : LAT028-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n015.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 06:07:48 EDT 2022

% Result   : Unsatisfiable 0.49s 0.71s
% Output   : Refutation 0.49s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LAT028-1 : TPTP v8.1.0. Released v2.2.0.
% 0.00/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33  % Computer : n015.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 20:34:51 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.49/0.71  GeoParameters:
% 0.49/0.71  
% 0.49/0.71  tptp_input =     1
% 0.49/0.71  tptp_output =    0
% 0.49/0.71  nonempty =       1
% 0.49/0.71  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.49/0.71  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.49/0.71  
% 0.49/0.71  
% 0.49/0.71  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.49/0.71  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.49/0.71  
% 0.49/0.71  RuleSystem INPUT:
% 0.49/0.71  
% 0.49/0.71  Initial Rules:
% 0.49/0.71  #0: input, references = 4, size of lhs = 2:
% 0.49/0.71     P_meet-{F}(V0,V0,V1), V1 == V0 | FALSE
% 0.49/0.71        (used 0 times, uses = {})
% 0.49/0.71  
% 0.49/0.71  #1: input, references = 4, size of lhs = 2:
% 0.49/0.71     P_join-{F}(V0,V0,V1), V1 == V0 | FALSE
% 0.49/0.71        (used 0 times, uses = {})
% 0.49/0.71  
% 0.49/0.71  #2: input, references = 4, size of lhs = 3:
% 0.49/0.71     P_meet-{F}(V0,V1,V2), P_meet-{F}(V1,V0,V3), V2 == V3 | FALSE
% 0.49/0.71        (used 0 times, uses = {})
% 0.49/0.71  
% 0.49/0.71  #3: input, references = 4, size of lhs = 3:
% 0.49/0.71     P_join-{F}(V0,V1,V2), P_join-{F}(V1,V0,V3), V2 == V3 | FALSE
% 0.49/0.71        (used 0 times, uses = {})
% 0.49/0.71  
% 0.49/0.71  #4: input, references = 5, size of lhs = 5:
% 0.49/0.71     P_join-{F}(V0,V1,V3), P_join-{F}(V2,V1,V4), P_meet-{F}(V3,V4,V5), P_meet-{F}(V5,V1,V6), V6 == V1 | FALSE
% 0.49/0.71        (used 0 times, uses = {})
% 0.49/0.71  
% 0.49/0.71  #5: input, references = 5, size of lhs = 5:
% 0.49/0.71     P_meet-{F}(V0,V1,V3), P_meet-{F}(V2,V1,V4), P_join-{F}(V3,V4,V5), P_join-{F}(V5,V1,V6), V6 == V1 | FALSE
% 0.49/0.71        (used 0 times, uses = {})
% 0.49/0.71  
% 0.49/0.71  #6: input, references = 4, size of lhs = 2:
% 0.49/0.71     P_meet2-{F}(V0,V0,V1), V1 == V0 | FALSE
% 0.49/0.71        (used 0 times, uses = {})
% 0.49/0.71  
% 0.49/0.71  #7: input, references = 4, size of lhs = 3:
% 0.49/0.71     P_meet2-{F}(V0,V1,V2), P_meet2-{F}(V1,V0,V3), V2 == V3 | FALSE
% 0.49/0.71        (used 0 times, uses = {})
% 0.49/0.71  
% 0.49/0.71  #8: input, references = 4, size of lhs = 5:
% 0.49/0.71     P_join-{F}(V0,V1,V3), P_join-{F}(V2,V1,V4), P_meet2-{F}(V3,V4,V5), P_meet2-{F}(V5,V1,V6), V6 == V1 | FALSE
% 0.49/0.71        (used 0 times, uses = {})
% 0.49/0.71  
% 0.49/0.71  #9: input, references = 4, size of lhs = 5:
% 0.49/0.71     P_meet2-{F}(V0,V1,V3), P_meet2-{F}(V2,V1,V4), P_join-{F}(V3,V4,V5), P_join-{F}(V5,V1,V6), V6 == V1 | FALSE
% 0.49/0.71        (used 0 times, uses = {})
% 0.49/0.71  
% 0.49/0.71  #10: input, references = 4, size of lhs = 4:
% 0.49/0.71     P_a-{F}(V0), P_b-{F}(V1), P_meet-{F}(V0,V1,V3), P_meet2-{F}(V0,V1,V3) | FALSE
% 0.49/0.71        (used 0 times, uses = {})
% 0.49/0.71  
% 0.49/0.71  #11: input, references = 7, size of lhs = 2:
% 0.49/0.71     #-{F} V0, #-{F} V1 | EXISTS V2: P_meet-{T}(V0,V1,V2)
% 0.49/0.71        (used 0 times, uses = {})
% 0.49/0.71  
% 0.49/0.71  #12: input, references = 6, size of lhs = 2:
% 0.49/0.71     #-{F} V0, #-{F} V1 | EXISTS V2: P_join-{T}(V0,V1,V2)
% 0.49/0.71        (used 0 times, uses = {})
% 0.49/0.71  
% 0.49/0.71  #13: input, references = 7, size of lhs = 2:
% 0.49/0.71     #-{F} V0, #-{F} V1 | EXISTS V2: P_meet2-{T}(V0,V1,V2)
% 0.49/0.71        (used 0 times, uses = {})
% 0.49/0.71  
% 0.49/0.71  #14: input, references = 4, size of lhs = 0:
% 0.49/0.71     FALSE | EXISTS V0: P_a-{T}(V0)
% 0.49/0.71        (used 0 times, uses = {})
% 0.49/0.71  
% 0.49/0.71  #15: input, references = 4, size of lhs = 0:
% 0.49/0.71     FALSE | EXISTS V0: P_b-{T}(V0)
% 0.49/0.71        (used 0 times, uses = {})
% 0.49/0.71  
% 0.49/0.71  number of initial rules = 16
% 0.49/0.71  
% 0.49/0.71  Simplifiers:
% 0.49/0.71  #16: unsound, references = 3, size of lhs = 3:
% 0.49/0.71     P_meet-{F}(V0,V1,V2), P_meet-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.49/0.71        (used 0 times, uses = {})
% 0.49/0.71  
% 0.49/0.71  #17: unsound, references = 3, size of lhs = 3:
% 0.49/0.71     P_join-{F}(V0,V1,V2), P_join-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.49/0.71        (used 0 times, uses = {})
% 0.49/0.71  
% 0.49/0.71  #18: unsound, references = 3, size of lhs = 3:
% 0.49/0.71     P_meet2-{F}(V0,V1,V2), P_meet2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.49/0.71        (used 0 times, uses = {})
% 0.49/0.71  
% 0.49/0.71  #19: unsound, references = 3, size of lhs = 3:
% 0.49/0.71     P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.49/0.71        (used 0 times, uses = {})
% 0.49/0.71  
% 0.49/0.71  #20: unsound, references = 3, size of lhs = 3:
% 0.49/0.71     P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 0.49/0.71        (used 0 times, uses = {})
% 0.49/0.71  
% 0.49/0.71  number of simplifiers = 5
% 0.49/0.71  
% 0.49/0.71  Learnt:
% 0.49/0.71  #22: exists( #11, #0 ), references = 1, size of lhs = 1:
% 0.49/0.71     #-{F} V0 | P_meet-{T}(V0,V0,V0)
% 0.49/0.71        (used 0 times, uses = {})
% 0.49/0.71  
% 0.49/0.71  #24: exists( #13, #6 ), references = 1, size of lhs = 1:
% 0.49/0.71     #-{F} V0 | P_meet2-{T}(V0,V0,V0)
% 0.49/0.71        (used 0 times, uses = {})
% 0.49/0.71  
% 0.49/0.71  #26: exists( #12, #1 ), references = 4, size of lhs = 1:
% 0.49/0.71     #-{F} V0 | P_join-{T}(V0,V0,V0)
% 0.49/0.71        (used 0 times, uses = {})
% 0.49/0.71  
% 0.49/0.71  #28: exists( #11, #2 ), references = 4, size of lhs = 1:
% 0.49/0.71     P_meet-{F}(V0,V1,V2) | P_meet-{T}(V1,V0,V2)
% 0.49/0.71        (used 0 times, uses = {})
% 0.49/0.71  
% 0.49/0.71  #30: exists( #13, #8 ), references = 3, size of lhs = 3:
% 0.49/0.71     P_join-{F}(V0,V1,V2), P_join-{F}(V3,V1,V4), P_meet2-{F}(V2,V4,V5) | P_meet2-{T}(V5,V1,V1)
% 0.49/0.71        (used 0 times, uses = {})
% 0.49/0.71  
% 0.49/0.71  #33: exists( #12, #5 ), references = 3, size of lhs = 3:
% 0.49/0.71     P_meet-{F}(V0,V1,V2), P_meet-{F}(V3,V1,V4), P_join-{F}(V2,V4,V5) | P_join-{T}(V5,V1,V1)
% 0.49/0.71        (used 0 times, uses = {})
% 0.49/0.71  
% 0.49/0.71  #34: exists( #12, #3 ), references = 4, size of lhs = 1:
% 0.49/0.71     P_join-{F}(V0,V1,V2) | P_join-{T}(V1,V0,V2)
% 0.49/0.71        (used 0 times, uses = {})
% 0.49/0.71  
% 0.49/0.71  #36: exists( #13, #7 ), references = 5, size of lhs = 1:
% 0.49/0.71     P_meet2-{F}(V0,V1,V2) | P_meet2-{T}(V1,V0,V2)
% 0.49/0.71        (used 0 times, uses = {})
% 0.49/0.71  
% 0.49/0.71  #46: exists( #11, #4 ), references = 3, size of lhs = 3:
% 0.49/0.71     P_join-{F}(V0,V1,V2), P_join-{F}(V3,V1,V4), P_meet-{F}(V2,V4,V5) | P_meet-{T}(V5,V1,V1)
% 0.49/0.71        (used 0 times, uses = {})
% 0.49/0.71  
% 0.49/0.71  #58: exists( #12, #55 ), references = 5, size of lhs = 3:
% 0.49/0.71     P_meet2-{F}(V0,V1,V2), P_meet2-{F}(V3,V1,V4), P_join-{F}(V2,V4,V5) | P_join-{T}(V1,V5,V1)
% 0.49/0.71        (used 0 times, uses = {})
% 0.49/0.71  
% 0.49/0.71  #79: exists( #13, #75 ), references = 1, size of lhs = 5:
% 0.49/0.71     P_join-{F}(V0,V0,V1), P_join-{F}(V2,V1,V1), P_join-{F}(V3,V0,V4), P_meet-{F}(V4,V5,V1), P_join-{F}(V6,V0,V5) | P_meet2-{T}(V4,V5,V1)
% 0.49/0.71        (used 0 times, uses = {})
% 0.49/0.71  
% 0.49/0.71  #80: exists( #13, #76 ), references = 1, size of lhs = 5:
% 0.49/0.71     P_join-{F}(V0,V0,V1), P_meet-{F}(V2,V1,V1), P_join-{F}(V3,V0,V4), P_meet-{F}(V4,V5,V1), P_join-{F}(V6,V0,V5) | P_meet2-{T}(V4,V5,V1)
% 0.49/0.71        (used 0 times, uses = {})
% 0.49/0.71  
% 0.49/0.71  #89: exists( #11, #87 ), references = 1, size of lhs = 2:
% 0.49/0.71     P_a-{F}(V0), P_b-{F}(V1) | FALSE
% 0.49/0.71        (used 0 times, uses = {})
% 0.49/0.71  
% 0.49/0.71  #91: exists( #15, #88 ), references = 1, size of lhs = 1:
% 0.49/0.71     P_a-{F}(V0) | FALSE
% 0.49/0.71        (used 0 times, uses = {})
% 0.49/0.71  
% 0.49/0.71  #93: exists( #14, #90 ), references = 1, size of lhs = 0:
% 0.49/0.71     FALSE | FALSE
% 0.49/0.71        (used 0 times, uses = {})
% 0.49/0.71  
% 0.49/0.71  number of learnt formulas = 15
% 0.49/0.71  
% 0.49/0.71  
% 0.49/0.71  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.49/0.71  
% 0.49/0.71  randbase = 1
%------------------------------------------------------------------------------