TSTP Solution File: LAT013-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : LAT013-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n006.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 06:07:47 EDT 2022

% Result   : Unsatisfiable 5.93s 6.18s
% Output   : Refutation 5.93s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : LAT013-1 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34  % Computer : n006.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Fri Jul 22 19:45:48 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 5.93/6.18  GeoParameters:
% 5.93/6.18  
% 5.93/6.18  tptp_input =     1
% 5.93/6.18  tptp_output =    0
% 5.93/6.18  nonempty =       1
% 5.93/6.18  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.93/6.18  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 5.93/6.18  
% 5.93/6.18  
% 5.93/6.18  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.93/6.18  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.93/6.18  
% 5.93/6.18  RuleSystem INPUT:
% 5.93/6.18  
% 5.93/6.18  Initial Rules:
% 5.93/6.18  #0: input, references = 5, size of lhs = 4:
% 5.93/6.18     P_meet-{F}(V0,V2,V3), P_meet-{F}(V1,V3,V4), P_join-{F}(V0,V4,V5), V5 == V0 | FALSE
% 5.93/6.18        (used 0 times, uses = {})
% 5.93/6.18  
% 5.93/6.18  #1: input, references = 6, size of lhs = 4:
% 5.93/6.18     P_join-{F}(V0,V2,V3), P_join-{F}(V1,V3,V4), P_meet-{F}(V0,V4,V5), V5 == V0 | FALSE
% 5.93/6.18        (used 0 times, uses = {})
% 5.93/6.18  
% 5.93/6.18  #2: input, references = 6, size of lhs = 5:
% 5.93/6.18     P_meet-{F}(V0,V1,V3), P_meet-{F}(V1,V2,V4), P_join-{F}(V3,V4,V5), P_join-{F}(V5,V1,V6), V6 == V1 | FALSE
% 5.93/6.18        (used 0 times, uses = {})
% 5.93/6.18  
% 5.93/6.18  #3: input, references = 6, size of lhs = 5:
% 5.93/6.18     P_join-{F}(V0,V1,V3), P_join-{F}(V1,V2,V4), P_meet-{F}(V3,V4,V5), P_meet-{F}(V5,V1,V6), V6 == V1 | FALSE
% 5.93/6.18        (used 0 times, uses = {})
% 5.93/6.18  
% 5.93/6.18  #4: input, references = 8, size of lhs = 7:
% 5.93/6.18     P_a-{F}(V0), P_b-{F}(V1), P_meet-{F}(V0,V1,V2), P_c-{F}(V3), P_meet-{F}(V2,V3,V6), P_meet-{F}(V1,V3,V5), P_meet-{F}(V0,V5,V6) | FALSE
% 5.93/6.18        (used 0 times, uses = {})
% 5.93/6.18  
% 5.93/6.18  #5: input, references = 8, size of lhs = 2:
% 5.93/6.18     #-{F} V0, #-{F} V1 | EXISTS V2: P_join-{T}(V0,V1,V2)
% 5.93/6.18        (used 0 times, uses = {})
% 5.93/6.18  
% 5.93/6.18  #6: input, references = 17, size of lhs = 2:
% 5.93/6.18     #-{F} V0, #-{F} V1 | EXISTS V2: P_meet-{T}(V0,V1,V2)
% 5.93/6.18        (used 0 times, uses = {})
% 5.93/6.18  
% 5.93/6.18  #7: input, references = 4, size of lhs = 0:
% 5.93/6.18     FALSE | EXISTS V0: P_a-{T}(V0)
% 5.93/6.18        (used 0 times, uses = {})
% 5.93/6.18  
% 5.93/6.18  #8: input, references = 4, size of lhs = 0:
% 5.93/6.18     FALSE | EXISTS V0: P_b-{T}(V0)
% 5.93/6.18        (used 0 times, uses = {})
% 5.93/6.18  
% 5.93/6.18  #9: input, references = 4, size of lhs = 0:
% 5.93/6.18     FALSE | EXISTS V0: P_c-{T}(V0)
% 5.93/6.18        (used 0 times, uses = {})
% 5.93/6.18  
% 5.93/6.18  number of initial rules = 10
% 5.93/6.18  
% 5.93/6.18  Simplifiers:
% 5.93/6.18  #10: unsound, references = 3, size of lhs = 3:
% 5.93/6.18     P_join-{F}(V0,V1,V2), P_join-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.93/6.18        (used 0 times, uses = {})
% 5.93/6.18  
% 5.93/6.18  #11: unsound, references = 3, size of lhs = 3:
% 5.93/6.18     P_meet-{F}(V0,V1,V2), P_meet-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.93/6.18        (used 0 times, uses = {})
% 5.93/6.18  
% 5.93/6.18  #12: unsound, references = 3, size of lhs = 3:
% 5.93/6.18     P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 5.93/6.18        (used 0 times, uses = {})
% 5.93/6.18  
% 5.93/6.18  #13: unsound, references = 3, size of lhs = 3:
% 5.93/6.18     P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 5.93/6.18        (used 0 times, uses = {})
% 5.93/6.18  
% 5.93/6.18  #14: unsound, references = 3, size of lhs = 3:
% 5.93/6.18     P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 5.93/6.18        (used 0 times, uses = {})
% 5.93/6.18  
% 5.93/6.18  number of simplifiers = 5
% 5.93/6.18  
% 5.93/6.18  Learnt:
% 5.93/6.18  #16: exists( #6, #1 ), references = 43, size of lhs = 2:
% 5.93/6.18     P_join-{F}(V0,V1,V2), P_join-{F}(V3,V2,V4) | P_meet-{T}(V0,V4,V0)
% 5.93/6.18        (used 0 times, uses = {})
% 5.93/6.18  
% 5.93/6.18  #19: exists( #5, #0 ), references = 41, size of lhs = 2:
% 5.93/6.18     P_meet-{F}(V0,V1,V2), P_meet-{F}(V3,V2,V4) | P_join-{T}(V0,V4,V0)
% 5.93/6.18        (used 0 times, uses = {})
% 5.93/6.18  
% 5.93/6.18  #22: exists( #6, #3 ), references = 17, size of lhs = 3:
% 5.93/6.18     P_join-{F}(V0,V1,V2), P_join-{F}(V1,V3,V4), P_meet-{F}(V2,V4,V5) | P_meet-{T}(V5,V1,V1)
% 5.93/6.18        (used 0 times, uses = {})
% 5.93/6.18  
% 5.93/6.18  #27: exists( #6, #23 ), references = 1, size of lhs = 5:
% 5.93/6.18     P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V2,V3), V3 == V0, P_join-{F}(V4,V2,V5), P_join-{F}(V2,V6,V7) | FALSE
% 5.93/6.18        (used 0 times, uses = {})
% 5.93/6.18  
% 5.93/6.18  #28: exists( #6, #24 ), references = 1, size of lhs = 6:
% 5.93/6.18     P_join-{F}(V0,V1,V2), P_join-{F}(V1,V3,V4), P_meet-{F}(V1,V5,V6), P_join-{F}(V1,V6,V7), P_join-{F}(V7,V1,V8), V8 == V1 | FALSE
% 5.93/6.18        (used 0 times, uses = {})
% 5.93/6.18  
% 5.93/6.18  #34: exists( #5, #30 ), references = 1, size of lhs = 5:
% 5.93/6.18     P_join-{F}(V0,V0,V1), V1 == V0, P_join-{F}(V0,V2,V3), P_join-{F}(V4,V0,V5), P_join-{F}(V0,V6,V7) | FALSE
% 5.93/6.18        (used 0 times, uses = {})
% 5.93/6.18  
% 5.93/6.18  #36: exists( #5, #32 ), references = 17, size of lhs = 1:
% 5.93/6.18     #-{F} V0 | P_join-{T}(V0,V0,V0)
% 5.93/6.18        (used 0 times, uses = {})
% 5.93/6.18  
% 5.93/6.18  #50: exists( #6, #48 ), references = 16, size of lhs = 3:
% 5.93/6.18     P_join-{F}(V0,V1,V2), P_join-{F}(V1,V3,V4), P_meet-{F}(V1,V5,V4) | P_meet-{T}(V2,V4,V1)
% 5.93/6.18        (used 0 times, uses = {})
% 5.93/6.18  
% 5.93/6.18  #52: exists( #5, #2 ), references = 20, size of lhs = 3:
% 5.93/6.18     P_meet-{F}(V0,V1,V2), P_meet-{F}(V1,V3,V4), P_join-{F}(V2,V4,V5) | P_join-{T}(V5,V1,V1)
% 5.93/6.18        (used 0 times, uses = {})
% 5.93/6.18  
% 5.93/6.18  #68: exists( #6, #66 ), references = 18, size of lhs = 5:
% 5.93/6.18     P_meet-{F}(V0,V1,V2), P_meet-{F}(V0,V3,V4), P_join-{F}(V4,V5,V6), P_join-{F}(V7,V6,V3), P_join-{F}(V6,V8,V2) | P_meet-{T}(V3,V2,V4)
% 5.93/6.18        (used 0 times, uses = {})
% 5.93/6.18  
% 5.93/6.18  #80: exists( #6, #78 ), references = 1, size of lhs = 5:
% 5.93/6.18     P_a-{F}(V0), P_c-{F}(V0), P_b-{F}(V1), P_meet-{F}(V1,V2,V1), P_meet-{F}(V0,V3,V0) | FALSE
% 5.93/6.18        (used 0 times, uses = {})
% 5.93/6.18  
% 5.93/6.18  #111: exists( #6, #109 ), references = 1, size of lhs = 10:
% 5.93/6.18     P_a-{F}(V0), P_b-{F}(V1), P_meet-{F}(V0,V1,V0), P_c-{F}(V2), P_meet-{F}(V1,V2,V3), P_meet-{F}(V0,V4,V0), P_meet-{F}(V2,V5,V3), P_meet-{F}(V2,V6,V3), P_meet-{F}(V6,V7,V0), P_meet-{F}(V2,V8,V2) | FALSE
% 5.93/6.18        (used 0 times, uses = {})
% 5.93/6.18  
% 5.93/6.18  #122: exists( #6, #120 ), references = 1, size of lhs = 9:
% 5.93/6.18     P_a-{F}(V0), P_b-{F}(V1), P_meet-{F}(V0,V1,V0), P_c-{F}(V2), P_meet-{F}(V0,V3,V0), P_meet-{F}(V2,V4,V2), P_meet-{F}(V2,V5,V2), P_meet-{F}(V1,V6,V1), P_meet-{F}(V1,V7,V0) | FALSE
% 5.93/6.18        (used 0 times, uses = {})
% 5.93/6.18  
% 5.93/6.18  #142: exists( #5, #140 ), references = 3, size of lhs = 9:
% 5.93/6.18     P_join-{F}(V0,V1,V2), P_join-{F}(V0,V2,V3), P_join-{F}(V2,V4,V5), P_meet-{F}(V2,V6,V5), P_meet-{F}(V7,V8,V2), P_join-{F}(V9,V7,V10), P_meet-{F}(V11,V7,V12), P_join-{F}(V0,V12,V13), P_meet-{F}(V13,V14,V10) | P_join-{T}(V12,V2,V13)
% 5.93/6.18        (used 0 times, uses = {})
% 5.93/6.18  
% 5.93/6.18  #156: exists( #6, #154 ), references = 1, size of lhs = 7:
% 5.93/6.18     P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V1,V2,V1), P_meet-{F}(V2,V3,V0), P_meet-{F}(V0,V4,V0), P_meet-{F}(V1,V5,V1) | FALSE
% 5.93/6.18        (used 0 times, uses = {})
% 5.93/6.18  
% 5.93/6.18  #191: mergings( V6 == V1, V20 == V15; #188 ), references = 1, size of lhs = 23:
% 5.93/6.18     P_a-{F}(V0), P_b-{F}(V1), P_meet-{F}(V0,V1,V2), P_c-{F}(V3), P_meet-{F}(V1,V3,V3), P_join-{F}(V3,V3,V3), P_join-{F}(V3,V4,V3), P_meet-{F}(V3,V5,V3), P_meet-{F}(V0,V6,V2), P_meet-{F}(V3,V7,V3), P_meet-{F}(V3,V8,V3), P_meet-{F}(V3,V9,V3), P_meet-{F}(V0,V10,V2), P_meet-{F}(V10,V11,V3), P_join-{F}(V10,V12,V10), P_meet-{F}(V10,V13,V12), P_join-{F}(V10,V14,V12), P_meet-{F}(V3,V15,V16), P_join-{F}(V17,V3,V16), P_join-{F}(V12,V18,V19), P_meet-{F}(V12,V20,V19), P_join-{F}(V21,V10,V22), P_meet-{F}(V10,V23,V22) | FALSE
% 5.93/6.18        (used 0 times, uses = {})
% 5.93/6.18  
% 5.93/6.18  #299: exists( #6, #295 ), references = 1, size of lhs = 7:
% 5.93/6.18     P_meet-{F}(V0,V1,V2), P_meet-{F}(V3,V4,V2), P_meet-{F}(V0,V5,V6), P_meet-{F}(V3,V6,V7), P_join-{F}(V7,V8,V9), P_join-{F}(V10,V9,V5), P_join-{F}(V9,V11,V2) | P_meet-{T}(V5,V2,V7)
% 5.93/6.18        (used 0 times, uses = {})
% 5.93/6.18  
% 5.93/6.18  #300: exists( #6, #296 ), references = 1, size of lhs = 7:
% 5.93/6.18     P_meet-{F}(V0,V1,V2), P_meet-{F}(V3,V4,V2), P_meet-{F}(V0,V5,V6), P_meet-{F}(V3,V6,V7), P_join-{F}(V7,V8,V9), P_join-{F}(V10,V9,V5), P_join-{F}(V9,V11,V2) | P_meet-{T}(V5,V2,V7)
% 5.93/6.18        (used 0 times, uses = {})
% 5.93/6.18  
% 5.93/6.18  #323: exists( #6, #321 ), references = 1, size of lhs = 15:
% 5.93/6.18     P_a-{F}(V0), P_b-{F}(V1), P_meet-{F}(V0,V1,V2), P_c-{F}(V3), P_meet-{F}(V1,V3,V4), P_meet-{F}(V4,V5,V4), P_meet-{F}(V6,V0,V2), P_meet-{F}(V6,V7,V4), P_meet-{F}(V2,V8,V2), P_meet-{F}(V9,V3,V4), P_meet-{F}(V9,V10,V2), P_meet-{F}(V3,V11,V3), P_meet-{F}(V3,V12,V4), P_meet-{F}(V2,V13,V2), P_meet-{F}(V0,V14,V2) | FALSE
% 5.93/6.18        (used 0 times, uses = {})
% 5.93/6.18  
% 5.93/6.18  #335: exists( #6, #333 ), references = 1, size of lhs = 12:
% 5.93/6.18     P_a-{F}(V0), P_b-{F}(V1), P_meet-{F}(V0,V1,V2), P_meet-{F}(V1,V0,V2), P_c-{F}(V3), P_meet-{F}(V2,V4,V2), P_meet-{F}(V1,V5,V2), P_meet-{F}(V3,V6,V3), P_meet-{F}(V2,V7,V2), P_meet-{F}(V0,V8,V2), P_meet-{F}(V1,V9,V1), P_meet-{F}(V3,V10,V3) | FALSE
% 5.93/6.18        (used 0 times, uses = {})
% 5.93/6.18  
% 5.93/6.18  #347: exists( #6, #345 ), references = 1, size of lhs = 8:
% 5.93/6.18     P_a-{F}(V0), P_b-{F}(V1), P_meet-{F}(V1,V2,V1), P_c-{F}(V3), P_meet-{F}(V3,V4,V3), P_meet-{F}(V1,V5,V1), P_meet-{F}(V3,V6,V3), P_meet-{F}(V0,V7,V0) | FALSE
% 5.93/6.18        (used 0 times, uses = {})
% 5.93/6.18  
% 5.93/6.18  #351: exists( #9, #349 ), references = 2, size of lhs = 5:
% 5.93/6.18     P_a-{F}(V0), P_b-{F}(V1), P_meet-{F}(V1,V2,V1), P_meet-{F}(V1,V3,V1), P_meet-{F}(V0,V4,V0) | FALSE
% 5.93/6.18        (used 0 times, uses = {})
% 5.93/6.18  
% 5.93/6.18  #355: exists( #8, #353 ), references = 1, size of lhs = 2:
% 5.93/6.18     P_a-{F}(V0), P_meet-{F}(V0,V1,V0) | FALSE
% 5.93/6.18        (used 0 times, uses = {})
% 5.93/6.18  
% 5.93/6.18  #359: exists( #7, #357 ), references = 1, size of lhs = 0:
% 5.93/6.18     FALSE | FALSE
% 5.93/6.18        (used 0 times, uses = {})
% 5.93/6.18  
% 5.93/6.18  number of learnt formulas = 24
% 5.93/6.18  
% 5.93/6.18  
% 5.93/6.18  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.93/6.18  
% 5.93/6.18  randbase = 1
%------------------------------------------------------------------------------