TSTP Solution File: LAT027-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : LAT027-1 : TPTP v8.1.0. Released v2.2.0.
% 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 06:07:48 EDT 2022

% Result   : Unsatisfiable 8.37s 8.54s
% Output   : Refutation 8.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : LAT027-1 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33  % Computer : n019.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 20:00:22 EDT 2022
% 0.19/0.33  % CPUTime  : 
% 8.37/8.54  GeoParameters:
% 8.37/8.54  
% 8.37/8.54  tptp_input =     1
% 8.37/8.54  tptp_output =    0
% 8.37/8.54  nonempty =       1
% 8.37/8.54  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.37/8.54  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 8.37/8.54  
% 8.37/8.54  
% 8.37/8.54  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.37/8.54  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.37/8.54  
% 8.37/8.54  RuleSystem INPUT:
% 8.37/8.54  
% 8.37/8.54  Initial Rules:
% 8.37/8.54  #0: input, references = 4, size of lhs = 2:
% 8.37/8.54     P_meet-{F}(V0,V0,V1), V1 == V0 | FALSE
% 8.37/8.54        (used 0 times, uses = {})
% 8.37/8.54  
% 8.37/8.54  #1: input, references = 4, size of lhs = 2:
% 8.37/8.54     P_join-{F}(V0,V0,V1), V1 == V0 | FALSE
% 8.37/8.54        (used 0 times, uses = {})
% 8.37/8.54  
% 8.37/8.54  #2: input, references = 4, size of lhs = 3:
% 8.37/8.54     P_meet-{F}(V0,V1,V2), P_meet-{F}(V1,V0,V3), V2 == V3 | FALSE
% 8.37/8.54        (used 0 times, uses = {})
% 8.37/8.54  
% 8.37/8.54  #3: input, references = 6, size of lhs = 3:
% 8.37/8.54     P_join-{F}(V0,V1,V2), P_join-{F}(V1,V0,V3), V2 == V3 | FALSE
% 8.37/8.54        (used 0 times, uses = {})
% 8.37/8.54  
% 8.37/8.54  #4: input, references = 5, size of lhs = 5:
% 8.37/8.54     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
% 8.37/8.54        (used 0 times, uses = {})
% 8.37/8.54  
% 8.37/8.54  #5: input, references = 4, size of lhs = 5:
% 8.37/8.54     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
% 8.37/8.54        (used 0 times, uses = {})
% 8.37/8.54  
% 8.37/8.54  #6: input, references = 4, size of lhs = 4:
% 8.37/8.54     P_join-{F}(V0,V2,V3), P_join-{F}(V1,V3,V4), P_meet-{F}(V0,V4,V5), V5 == V0 | FALSE
% 8.37/8.54        (used 0 times, uses = {})
% 8.37/8.54  
% 8.37/8.54  #7: input, references = 13, size of lhs = 7:
% 8.37/8.54     P_a-{F}(V0), P_b-{F}(V1), P_join-{F}(V0,V1,V2), P_c-{F}(V3), P_join-{F}(V2,V3,V6), P_join-{F}(V1,V3,V5), P_join-{F}(V0,V5,V6) | FALSE
% 8.37/8.54        (used 0 times, uses = {})
% 8.37/8.54  
% 8.37/8.54  #8: input, references = 8, size of lhs = 2:
% 8.37/8.54     #-{F} V0, #-{F} V1 | EXISTS V2: P_meet-{T}(V0,V1,V2)
% 8.37/8.54        (used 0 times, uses = {})
% 8.37/8.54  
% 8.37/8.54  #9: input, references = 22, size of lhs = 2:
% 8.37/8.54     #-{F} V0, #-{F} V1 | EXISTS V2: P_join-{T}(V0,V1,V2)
% 8.37/8.54        (used 0 times, uses = {})
% 8.37/8.54  
% 8.37/8.54  #10: input, references = 4, size of lhs = 0:
% 8.37/8.54     FALSE | EXISTS V0: P_a-{T}(V0)
% 8.37/8.54        (used 0 times, uses = {})
% 8.37/8.54  
% 8.37/8.54  #11: input, references = 4, size of lhs = 0:
% 8.37/8.54     FALSE | EXISTS V0: P_b-{T}(V0)
% 8.37/8.54        (used 0 times, uses = {})
% 8.37/8.54  
% 8.37/8.54  #12: input, references = 5, size of lhs = 0:
% 8.37/8.54     FALSE | EXISTS V0: P_c-{T}(V0)
% 8.37/8.54        (used 0 times, uses = {})
% 8.37/8.54  
% 8.37/8.54  number of initial rules = 13
% 8.37/8.54  
% 8.37/8.54  Simplifiers:
% 8.37/8.54  #13: unsound, references = 3, size of lhs = 3:
% 8.37/8.54     P_meet-{F}(V0,V1,V2), P_meet-{F}(V0,V1,V5), V2 == V5 | FALSE
% 8.37/8.54        (used 0 times, uses = {})
% 8.37/8.54  
% 8.37/8.54  #14: unsound, references = 3, size of lhs = 3:
% 8.37/8.54     P_join-{F}(V0,V1,V2), P_join-{F}(V0,V1,V5), V2 == V5 | FALSE
% 8.37/8.54        (used 0 times, uses = {})
% 8.37/8.54  
% 8.37/8.54  #15: unsound, references = 3, size of lhs = 3:
% 8.37/8.54     P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 8.37/8.54        (used 0 times, uses = {})
% 8.37/8.54  
% 8.37/8.54  #16: unsound, references = 3, size of lhs = 3:
% 8.37/8.54     P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 8.37/8.54        (used 0 times, uses = {})
% 8.37/8.54  
% 8.37/8.54  #17: unsound, references = 3, size of lhs = 3:
% 8.37/8.54     P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 8.37/8.54        (used 0 times, uses = {})
% 8.37/8.54  
% 8.37/8.54  number of simplifiers = 5
% 8.37/8.54  
% 8.37/8.54  Learnt:
% 8.37/8.54  #19: exists( #8, #0 ), references = 8, size of lhs = 1:
% 8.37/8.54     #-{F} V0 | P_meet-{T}(V0,V0,V0)
% 8.37/8.54        (used 0 times, uses = {})
% 8.37/8.54  
% 8.37/8.54  #21: exists( #9, #1 ), references = 9, size of lhs = 1:
% 8.37/8.54     #-{F} V0 | P_join-{T}(V0,V0,V0)
% 8.37/8.54        (used 0 times, uses = {})
% 8.37/8.54  
% 8.37/8.54  #23: exists( #8, #2 ), references = 10, size of lhs = 1:
% 8.37/8.54     P_meet-{F}(V0,V1,V2) | P_meet-{T}(V1,V0,V2)
% 8.37/8.54        (used 0 times, uses = {})
% 8.37/8.54  
% 8.37/8.54  #25: exists( #9, #3 ), references = 30, size of lhs = 1:
% 8.37/8.54     P_join-{F}(V0,V1,V2) | P_join-{T}(V1,V0,V2)
% 8.37/8.54        (used 0 times, uses = {})
% 8.37/8.54  
% 8.37/8.54  #28: exists( #9, #5 ), references = 28, size of lhs = 3:
% 8.37/8.54     P_meet-{F}(V0,V1,V2), P_meet-{F}(V3,V1,V4), P_join-{F}(V2,V4,V5) | P_join-{T}(V5,V1,V1)
% 8.37/8.54        (used 0 times, uses = {})
% 8.37/8.54  
% 8.37/8.54  #32: exists( #8, #4 ), references = 9, size of lhs = 3:
% 8.37/8.54     P_join-{F}(V0,V1,V2), P_join-{F}(V3,V1,V4), P_meet-{F}(V2,V4,V5) | P_meet-{T}(V5,V1,V1)
% 8.37/8.54        (used 0 times, uses = {})
% 8.37/8.54  
% 8.37/8.54  #39: exists( #9, #37 ), references = 1, size of lhs = 5:
% 8.37/8.54     P_a-{F}(V0), P_b-{F}(V1), P_join-{F}(V0,V1,V1), P_join-{F}(V1,V1,V0), P_c-{F}(V2) | FALSE
% 8.37/8.54        (used 0 times, uses = {})
% 8.37/8.54  
% 8.37/8.54  #41: exists( #12, #38 ), references = 1, size of lhs = 4:
% 8.37/8.54     P_a-{F}(V0), P_b-{F}(V1), P_join-{F}(V0,V1,V1), P_join-{F}(V1,V1,V0) | FALSE
% 8.37/8.54        (used 0 times, uses = {})
% 8.37/8.54  
% 8.37/8.54  #44: exists( #8, #6 ), references = 27, size of lhs = 2:
% 8.37/8.54     P_join-{F}(V0,V1,V2), P_join-{F}(V3,V2,V4) | P_meet-{T}(V0,V4,V0)
% 8.37/8.54        (used 0 times, uses = {})
% 8.37/8.54  
% 8.37/8.54  #57: exists( #9, #55 ), references = 1, size of lhs = 5:
% 8.37/8.54     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_join-{F}(V1,V2,V1), P_join-{F}(V1,V1,V2) | FALSE
% 8.37/8.54        (used 0 times, uses = {})
% 8.37/8.54  
% 8.37/8.54  #73: exists( #9, #71 ), references = 1, size of lhs = 5:
% 8.37/8.54     P_a-{F}(V0), P_c-{F}(V0), P_b-{F}(V1), P_join-{F}(V2,V2,V0), P_join-{F}(V2,V3,V0) | FALSE
% 8.37/8.54        (used 0 times, uses = {})
% 8.37/8.54  
% 8.37/8.54  #83: exists( #9, #81 ), references = 1, size of lhs = 8:
% 8.37/8.54     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_join-{F}(V1,V2,V1), P_join-{F}(V3,V3,V2), P_join-{F}(V4,V4,V5), P_join-{F}(V3,V6,V5), P_join-{F}(V4,V7,V0) | FALSE
% 8.37/8.54        (used 0 times, uses = {})
% 8.37/8.54  
% 8.37/8.54  #120: exists( #8, #118 ), references = 1, size of lhs = 4:
% 8.37/8.54     P_join-{F}(V0,V1,V2), P_meet-{F}(V3,V2,V4), P_join-{F}(V5,V4,V3), P_join-{F}(V6,V4,V1) | P_meet-{T}(V3,V1,V4)
% 8.37/8.54        (used 0 times, uses = {})
% 8.37/8.54  
% 8.37/8.54  #136: exists( #9, #131 ), references = 4, size of lhs = 5:
% 8.37/8.54     P_join-{F}(V0,V1,V2), P_join-{F}(V0,V3,V4), P_meet-{F}(V5,V4,V2), P_join-{F}(V3,V6,V7), P_meet-{F}(V8,V4,V7) | P_join-{T}(V2,V7,V4)
% 8.37/8.54        (used 0 times, uses = {})
% 8.37/8.54  
% 8.37/8.54  #141: exists( #9, #139 ), references = 3, size of lhs = 11:
% 8.37/8.54     P_a-{F}(V0), P_b-{F}(V1), P_join-{F}(V0,V1,V2), P_c-{F}(V3), P_join-{F}(V2,V3,V4), P_meet-{F}(V5,V4,V0), P_join-{F}(V6,V1,V4), P_join-{F}(V6,V7,V0), P_join-{F}(V8,V9,V4), P_meet-{F}(V10,V9,V1), P_meet-{F}(V11,V9,V3) | FALSE
% 8.37/8.54        (used 0 times, uses = {})
% 8.37/8.54  
% 8.37/8.54  #153: exists( #9, #151 ), references = 1, size of lhs = 8:
% 8.37/8.54     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_join-{F}(V2,V2,V2), P_join-{F}(V0,V3,V0), P_join-{F}(V0,V0,V4), P_join-{F}(V2,V5,V4), P_join-{F}(V0,V6,V0) | FALSE
% 8.37/8.54        (used 0 times, uses = {})
% 8.37/8.54  
% 8.37/8.54  #171: exists( #9, #169 ), references = 2, size of lhs = 11:
% 8.37/8.54     P_a-{F}(V0), P_b-{F}(V1), P_join-{F}(V0,V1,V2), P_c-{F}(V3), P_join-{F}(V2,V3,V4), P_meet-{F}(V5,V4,V0), P_join-{F}(V6,V3,V4), P_join-{F}(V6,V7,V0), P_join-{F}(V8,V9,V4), P_meet-{F}(V10,V9,V1), P_meet-{F}(V11,V9,V3) | FALSE
% 8.37/8.54        (used 0 times, uses = {})
% 8.37/8.54  
% 8.37/8.54  #182: exists( #9, #180 ), references = 1, size of lhs = 9:
% 8.37/8.54     P_a-{F}(V0), P_b-{F}(V1), P_join-{F}(V0,V1,V2), P_c-{F}(V3), P_join-{F}(V2,V4,V0), P_join-{F}(V3,V3,V5), P_join-{F}(V0,V0,V6), P_join-{F}(V1,V7,V6), P_join-{F}(V0,V8,V2) | FALSE
% 8.37/8.54        (used 0 times, uses = {})
% 8.37/8.54  
% 8.37/8.54  #198: exists( #9, #196 ), references = 1, size of lhs = 8:
% 8.37/8.54     P_a-{F}(V0), P_b-{F}(V1), P_join-{F}(V0,V1,V1), P_c-{F}(V2), P_join-{F}(V3,V3,V0), P_join-{F}(V4,V4,V5), P_join-{F}(V3,V6,V5), P_join-{F}(V4,V7,V1) | FALSE
% 8.37/8.54        (used 0 times, uses = {})
% 8.37/8.54  
% 8.37/8.54  #224: exists( #9, #214 ), references = 1, size of lhs = 6:
% 8.37/8.54     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_join-{F}(V1,V2,V1), P_join-{F}(V3,V3,V2), P_join-{F}(V3,V4,V1) | FALSE
% 8.37/8.54        (used 0 times, uses = {})
% 8.37/8.54  
% 8.37/8.54  #225: exists( #9, #221 ), references = 1, size of lhs = 8:
% 8.37/8.54     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_join-{F}(V2,V2,V2), P_join-{F}(V0,V3,V0), P_join-{F}(V1,V1,V4), P_join-{F}(V0,V5,V0), P_join-{F}(V2,V6,V1) | FALSE
% 8.37/8.54        (used 0 times, uses = {})
% 8.37/8.54  
% 8.37/8.54  #261: exists( #9, #259 ), references = 1, size of lhs = 11:
% 8.37/8.54     P_a-{F}(V0), P_b-{F}(V1), P_join-{F}(V0,V1,V2), P_c-{F}(V3), P_join-{F}(V4,V4,V0), P_join-{F}(V3,V3,V5), P_join-{F}(V4,V6,V5), P_join-{F}(V4,V7,V2), P_join-{F}(V7,V8,V1), P_join-{F}(V3,V9,V3), P_join-{F}(V1,V10,V2) | FALSE
% 8.37/8.54        (used 0 times, uses = {})
% 8.37/8.54  
% 8.37/8.54  #296: exists( #9, #294 ), references = 4, size of lhs = 6:
% 8.37/8.54     P_join-{F}(V0,V1,V0), P_join-{F}(V2,V3,V0), P_join-{F}(V2,V4,V5), P_join-{F}(V0,V5,V6), P_join-{F}(V4,V7,V8), P_join-{F}(V8,V9,V5) | P_join-{T}(V8,V0,V6)
% 8.37/8.54        (used 0 times, uses = {})
% 8.37/8.54  
% 8.37/8.54  #316: exists( #9, #314 ), references = 1, size of lhs = 17:
% 8.37/8.54     P_a-{F}(V0), P_b-{F}(V1), P_join-{F}(V0,V1,V2), P_c-{F}(V3), P_join-{F}(V1,V3,V4), P_join-{F}(V4,V5,V4), P_join-{F}(V2,V6,V2), P_join-{F}(V0,V7,V2), P_join-{F}(V3,V8,V4), P_join-{F}(V2,V9,V2), P_join-{F}(V2,V10,V2), P_join-{F}(V11,V12,V4), P_join-{F}(V12,V13,V2), P_join-{F}(V11,V14,V3), P_join-{F}(V15,V16,V4), P_join-{F}(V15,V17,V2), P_join-{F}(V17,V18,V0) | FALSE
% 8.37/8.54        (used 0 times, uses = {})
% 8.37/8.54  
% 8.37/8.54  #322: exists( #9, #320 ), references = 1, size of lhs = 14:
% 8.37/8.54     P_a-{F}(V0), P_b-{F}(V1), P_join-{F}(V0,V1,V2), P_c-{F}(V3), P_join-{F}(V2,V4,V2), P_join-{F}(V0,V5,V2), P_join-{F}(V2,V6,V2), P_join-{F}(V2,V7,V2), P_join-{F}(V3,V8,V3), P_join-{F}(V1,V9,V2), P_join-{F}(V10,V10,V11), P_join-{F}(V11,V12,V2), P_join-{F}(V12,V13,V0), P_join-{F}(V10,V14,V1) | FALSE
% 8.37/8.54        (used 0 times, uses = {})
% 8.37/8.54  
% 8.37/8.54  #326: exists( #9, #324 ), references = 1, size of lhs = 7:
% 8.37/8.54     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_join-{F}(V2,V3,V2), P_join-{F}(V4,V4,V1), P_join-{F}(V0,V5,V0), P_join-{F}(V4,V6,V1) | FALSE
% 8.37/8.54        (used 0 times, uses = {})
% 8.37/8.54  
% 8.37/8.54  #329: exists( #12, #327 ), references = 1, size of lhs = 5:
% 8.37/8.54     P_a-{F}(V0), P_b-{F}(V1), P_join-{F}(V2,V2,V1), P_join-{F}(V0,V3,V0), P_join-{F}(V2,V4,V1) | FALSE
% 8.37/8.54        (used 0 times, uses = {})
% 8.37/8.54  
% 8.37/8.54  #332: exists( #11, #330 ), references = 1, size of lhs = 2:
% 8.37/8.54     P_a-{F}(V0), P_join-{F}(V0,V1,V0) | FALSE
% 8.37/8.54        (used 0 times, uses = {})
% 8.37/8.54  
% 8.37/8.54  #335: exists( #10, #333 ), references = 1, size of lhs = 0:
% 8.37/8.54     FALSE | FALSE
% 8.37/8.54        (used 0 times, uses = {})
% 8.37/8.54  
% 8.37/8.54  number of learnt formulas = 29
% 8.37/8.54  
% 8.37/8.54  
% 8.37/8.54  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.37/8.54  
% 8.37/8.54  randbase = 1
%------------------------------------------------------------------------------