TSTP Solution File: GRP522-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : GRP522-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n009.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 06:04:01 EDT 2022

% Result   : Unsatisfiable 0.58s 0.76s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GRP522-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n009.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 14:28:51 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.58/0.76  GeoParameters:
% 0.58/0.76  
% 0.58/0.76  tptp_input =     1
% 0.58/0.76  tptp_output =    0
% 0.58/0.76  nonempty =       1
% 0.58/0.76  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.58/0.76  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.58/0.76  
% 0.58/0.76  
% 0.58/0.76  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.58/0.76  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.58/0.76  
% 0.58/0.76  RuleSystem INPUT:
% 0.58/0.76  
% 0.58/0.76  Initial Rules:
% 0.58/0.76  #0: input, references = 6, size of lhs = 5:
% 0.58/0.76     P_divide-{F}(V0,V1,V3), P_divide-{F}(V2,V3,V4), P_divide-{F}(V1,V4,V5), P_divide-{F}(V0,V5,V6), V6 == V2 | FALSE
% 0.58/0.76        (used 0 times, uses = {})
% 0.58/0.76  
% 0.58/0.76  #1: input, references = 5, size of lhs = 5:
% 0.58/0.76     P_multiply-{F}(V0,V1,V3), P_divide-{F}(V2,V2,V4), P_divide-{F}(V4,V1,V5), P_divide-{F}(V0,V5,V6), V3 == V6 | FALSE
% 0.58/0.76        (used 0 times, uses = {})
% 0.58/0.76  
% 0.58/0.76  #2: input, references = 6, size of lhs = 4:
% 0.58/0.76     P_inverse-{F}(V0,V2), P_divide-{F}(V1,V1,V3), P_divide-{F}(V3,V0,V4), V2 == V4 | FALSE
% 0.58/0.76        (used 0 times, uses = {})
% 0.58/0.76  
% 0.58/0.76  #3: input, references = 5, size of lhs = 5:
% 0.58/0.76     P_b2-{F}(V0), P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V0,V2), P_a2-{F}(V3), P_multiply-{F}(V2,V3,V3) | FALSE
% 0.58/0.76        (used 0 times, uses = {})
% 0.58/0.76  
% 0.58/0.76  #4: input, references = 14, size of lhs = 2:
% 0.58/0.76     #-{F} V0, #-{F} V1 | EXISTS V2: P_divide-{T}(V0,V1,V2)
% 0.58/0.76        (used 0 times, uses = {})
% 0.58/0.76  
% 0.58/0.76  #5: input, references = 6, size of lhs = 2:
% 0.58/0.76     #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 0.58/0.76        (used 0 times, uses = {})
% 0.58/0.76  
% 0.58/0.76  #6: input, references = 8, size of lhs = 1:
% 0.58/0.76     #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 0.58/0.76        (used 0 times, uses = {})
% 0.58/0.76  
% 0.58/0.76  #7: input, references = 4, size of lhs = 0:
% 0.58/0.76     FALSE | EXISTS V0: P_b2-{T}(V0)
% 0.58/0.76        (used 0 times, uses = {})
% 0.58/0.76  
% 0.58/0.76  #8: input, references = 4, size of lhs = 0:
% 0.58/0.76     FALSE | EXISTS V0: P_a2-{T}(V0)
% 0.58/0.76        (used 0 times, uses = {})
% 0.58/0.76  
% 0.58/0.76  number of initial rules = 9
% 0.58/0.76  
% 0.58/0.76  Simplifiers:
% 0.58/0.76  #9: unsound, references = 3, size of lhs = 3:
% 0.58/0.76     P_divide-{F}(V0,V1,V2), P_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.58/0.76        (used 0 times, uses = {})
% 0.58/0.76  
% 0.58/0.76  #10: unsound, references = 3, size of lhs = 3:
% 0.58/0.76     P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.58/0.76        (used 0 times, uses = {})
% 0.58/0.76  
% 0.58/0.76  #11: unsound, references = 3, size of lhs = 3:
% 0.58/0.76     P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 0.58/0.76        (used 0 times, uses = {})
% 0.58/0.76  
% 0.58/0.76  #12: unsound, references = 3, size of lhs = 3:
% 0.58/0.76     P_b2-{F}(V0), P_b2-{F}(V1), V0 == V1 | FALSE
% 0.58/0.76        (used 0 times, uses = {})
% 0.58/0.76  
% 0.58/0.76  #13: unsound, references = 3, size of lhs = 3:
% 0.58/0.76     P_a2-{F}(V0), P_a2-{F}(V1), V0 == V1 | FALSE
% 0.58/0.76        (used 0 times, uses = {})
% 0.58/0.76  
% 0.58/0.76  number of simplifiers = 5
% 0.58/0.76  
% 0.58/0.76  Learnt:
% 0.58/0.76  #15: exists( #4, #2 ), references = 16, size of lhs = 2:
% 0.58/0.76     P_inverse-{F}(V0,V1), P_divide-{F}(V2,V2,V3) | P_divide-{T}(V3,V0,V1)
% 0.58/0.76        (used 0 times, uses = {})
% 0.58/0.76  
% 0.58/0.76  #17: exists( #4, #1 ), references = 4, size of lhs = 3:
% 0.58/0.76     P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V2,V3), P_multiply-{F}(V4,V2,V5) | P_divide-{T}(V4,V3,V5)
% 0.58/0.76        (used 0 times, uses = {})
% 0.58/0.76  
% 0.58/0.76  #30: exists( #5, #1 ), references = 6, size of lhs = 3:
% 0.58/0.76     P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V2,V3), P_divide-{F}(V4,V3,V5) | P_multiply-{T}(V4,V2,V5)
% 0.58/0.76        (used 0 times, uses = {})
% 0.58/0.76  
% 0.58/0.76  #39: exists( #6, #2 ), references = 1, size of lhs = 2:
% 0.58/0.76     P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V2,V3) | P_inverse-{T}(V2,V3)
% 0.58/0.76        (used 0 times, uses = {})
% 0.58/0.76  
% 0.58/0.76  #41: exists( #4, #0 ), references = 7, size of lhs = 3:
% 0.58/0.76     P_divide-{F}(V0,V1,V2), P_divide-{F}(V3,V2,V4), P_divide-{F}(V1,V4,V5) | P_divide-{T}(V0,V5,V3)
% 0.58/0.76        (used 0 times, uses = {})
% 0.58/0.76  
% 0.58/0.76  #46: mergings( V7 == V9; #44 ), references = 2, size of lhs = 6:
% 0.58/0.76     P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V2,V3), P_divide-{F}(V4,V5,V3), P_divide-{F}(V6,V5,V3), V4 == V6, P_divide-{F}(V7,V8,V5) | FALSE
% 0.58/0.76        (used 0 times, uses = {})
% 0.58/0.76  
% 0.58/0.76  #50: exists( #6, #48 ), references = 6, size of lhs = 3:
% 0.58/0.76     P_divide-{F}(V0,V0,V1), P_divide-{F}(V2,V2,V1), P_divide-{F}(V3,V4,V1) | P_inverse-{T}(V1,V1)
% 0.58/0.76        (used 0 times, uses = {})
% 0.58/0.76  
% 0.58/0.76  #65: exists( #4, #63 ), references = 1, size of lhs = 3:
% 0.58/0.76     P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V2,V3), P_divide-{F}(V4,V3,V2) | P_divide-{T}(V2,V2,V4)
% 0.58/0.76        (used 0 times, uses = {})
% 0.58/0.76  
% 0.58/0.76  #81: exists( #5, #77 ), references = 3, size of lhs = 7:
% 0.58/0.76     P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V2,V3), P_divide-{F}(V4,V5,V3), P_divide-{F}(V5,V6,V7), P_divide-{F}(V8,V7,V3), P_divide-{F}(V4,V8,V9), V9 == V6 | FALSE
% 0.58/0.76        (used 0 times, uses = {})
% 0.58/0.76  
% 0.58/0.76  #82: exists( #5, #78 ), references = 2, size of lhs = 8:
% 0.58/0.76     P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V2,V3), P_divide-{F}(V4,V4,V5), P_divide-{F}(V5,V6,V7), P_divide-{F}(V8,V7,V3), P_divide-{F}(V8,V9,V3), P_divide-{F}(V10,V6,V9), V5 == V10 | FALSE
% 0.58/0.76        (used 0 times, uses = {})
% 0.58/0.76  
% 0.58/0.76  #86: exists( #4, #84 ), references = 6, size of lhs = 7:
% 0.58/0.76     P_inverse-{F}(V0,V1), P_divide-{F}(V2,V2,V3), P_divide-{F}(V3,V4,V5), P_divide-{F}(V6,V1,V5), P_divide-{F}(V6,V7,V5), P_divide-{F}(V8,V0,V7), #-{F} V9 | P_divide-{T}(V9,V9,V8)
% 0.58/0.76        (used 0 times, uses = {})
% 0.58/0.76  
% 0.58/0.76  #109: exists( #6, #107 ), references = 4, size of lhs = 6:
% 0.58/0.76     P_divide-{F}(V0,V0,V1), P_divide-{F}(V2,V2,V3), P_divide-{F}(V3,V4,V5), P_divide-{F}(V1,V6,V5), P_divide-{F}(V6,V7,V8), P_divide-{F}(V9,V8,V5) | P_inverse-{T}(V9,V7)
% 0.58/0.76        (used 0 times, uses = {})
% 0.58/0.76  
% 0.58/0.76  #119: exists( #4, #117 ), references = 2, size of lhs = 3:
% 0.58/0.76     P_b2-{F}(V0), P_a2-{F}(V0), P_inverse-{F}(V1,V0) | FALSE
% 0.58/0.76        (used 0 times, uses = {})
% 0.58/0.76  
% 0.58/0.76  #133: exists( #6, #131 ), references = 1, size of lhs = 13:
% 0.58/0.76     P_b2-{F}(V0), P_a2-{F}(V0), P_divide-{F}(V1,V1,V2), P_inverse-{F}(V3,V4), P_divide-{F}(V5,V5,V6), P_divide-{F}(V6,V7,V8), P_divide-{F}(V9,V4,V8), P_divide-{F}(V9,V10,V8), P_divide-{F}(V11,V3,V10), P_divide-{F}(V12,V2,V11), P_divide-{F}(V13,V13,V12), P_divide-{F}(V14,V14,V15), P_divide-{F}(V15,V16,V11) | FALSE
% 0.58/0.76        (used 0 times, uses = {})
% 0.58/0.76  
% 0.58/0.76  #137: exists( #4, #135 ), references = 1, size of lhs = 2:
% 0.58/0.76     P_b2-{F}(V0), P_a2-{F}(V0) | FALSE
% 0.58/0.76        (used 0 times, uses = {})
% 0.58/0.76  
% 0.58/0.76  #153: exists( #4, #81 ), references = 3, size of lhs = 5:
% 0.58/0.76     P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V2,V3), P_divide-{F}(V4,V5,V3), P_divide-{F}(V5,V6,V7), P_divide-{F}(V8,V7,V3) | P_divide-{T}(V4,V8,V6)
% 0.58/0.76        (used 0 times, uses = {})
% 0.58/0.76  
% 0.58/0.76  #168: exists( #4, #166 ), references = 3, size of lhs = 15:
% 0.58/0.76     P_b2-{F}(V0), P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V0,V2), P_a2-{F}(V3), P_divide-{F}(V2,V4,V5), P_divide-{F}(V3,V5,V6), P_divide-{F}(V7,V7,V8), P_divide-{F}(V9,V9,V10), P_divide-{F}(V10,V11,V12), P_divide-{F}(V8,V13,V12), P_divide-{F}(V3,V14,V12), P_divide-{F}(V13,V4,V15), P_divide-{F}(V14,V15,V6), P_divide-{F}(V16,V16,V17), P_divide-{F}(V18,V18,V17) | FALSE
% 0.58/0.76        (used 0 times, uses = {})
% 0.58/0.76  
% 0.58/0.76  #182: exists( #4, #180 ), references = 1, size of lhs = 3:
% 0.58/0.76     P_b2-{F}(V0), P_inverse-{F}(V1,V0), P_a2-{F}(V2) | FALSE
% 0.58/0.76        (used 0 times, uses = {})
% 0.58/0.76  
% 0.58/0.76  #194: exists( #6, #192 ), references = 2, size of lhs = 21:
% 0.58/0.76     P_b2-{F}(V0), P_a2-{F}(V1), P_divide-{F}(V2,V2,V3), P_divide-{F}(V4,V4,V3), P_inverse-{F}(V5,V6), P_divide-{F}(V7,V7,V8), P_divide-{F}(V8,V9,V10), P_divide-{F}(V11,V6,V10), P_divide-{F}(V11,V12,V10), P_divide-{F}(V13,V5,V12), P_divide-{F}(V13,V14,V15), P_divide-{F}(V1,V15,V16), P_divide-{F}(V17,V17,V18), P_divide-{F}(V19,V19,V20), P_divide-{F}(V20,V21,V22), P_divide-{F}(V18,V23,V22), P_divide-{F}(V1,V24,V22), P_divide-{F}(V23,V14,V25), P_divide-{F}(V24,V25,V16), P_divide-{F}(V26,V26,V27), P_divide-{F}(V28,V28,V27) | FALSE
% 0.58/0.76        (used 0 times, uses = {})
% 0.58/0.76  
% 0.58/0.76  #202: exists( #4, #200 ), references = 1, size of lhs = 2:
% 0.58/0.76     P_b2-{F}(V0), P_a2-{F}(V1) | FALSE
% 0.58/0.76        (used 0 times, uses = {})
% 0.58/0.76  
% 0.58/0.76  #204: exists( #8, #201 ), references = 1, size of lhs = 1:
% 0.58/0.76     P_b2-{F}(V0) | FALSE
% 0.58/0.76        (used 0 times, uses = {})
% 0.58/0.76  
% 0.58/0.76  #206: exists( #7, #203 ), references = 1, size of lhs = 0:
% 0.58/0.76     FALSE | FALSE
% 0.58/0.76        (used 0 times, uses = {})
% 0.58/0.76  
% 0.58/0.76  number of learnt formulas = 22
% 0.58/0.76  
% 0.58/0.76  
% 0.58/0.76  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.58/0.76  
% 0.58/0.76  randbase = 1
%------------------------------------------------------------------------------