TSTP Solution File: SYN555-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SYN555-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n023.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 06:24:57 EDT 2022

% Result   : Unsatisfiable 0.50s 0.66s
% Output   : Refutation 0.50s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN555-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.11/0.33  % Computer : n023.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Sat Jul 23 04:04:34 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.50/0.66  GeoParameters:
% 0.50/0.66  
% 0.50/0.66  tptp_input =     1
% 0.50/0.66  tptp_output =    0
% 0.50/0.66  nonempty =       1
% 0.50/0.66  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.50/0.66  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.50/0.66  
% 0.50/0.66  
% 0.50/0.66  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.50/0.66  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.50/0.66  
% 0.50/0.66  RuleSystem INPUT:
% 0.50/0.66  
% 0.50/0.66  Initial Rules:
% 0.50/0.66  #0: input, references = 3, size of lhs = 1:
% 0.50/0.66     #-{F} V0 | p2-{T}(V0,V0)
% 0.50/0.66        (used 0 times, uses = {})
% 0.50/0.66  
% 0.50/0.66  #1: input, references = 5, size of lhs = 1:
% 0.50/0.66     #-{F} V0 | p4-{T}(V0,V0)
% 0.50/0.66        (used 0 times, uses = {})
% 0.50/0.66  
% 0.50/0.66  #2: input, references = 3, size of lhs = 1:
% 0.50/0.66     #-{F} V0 | p3-{T}(V0,V0)
% 0.50/0.66        (used 0 times, uses = {})
% 0.50/0.66  
% 0.50/0.66  #3: input, references = 5, size of lhs = 4:
% 0.50/0.66     P_c7-{F}(V0), P_c10-{F}(V1), P_c9-{F}(V2), P_f5-{F}(V0,V1,V2,V3) | p4-{T}(V3,V2)
% 0.50/0.66        (used 0 times, uses = {})
% 0.50/0.66  
% 0.50/0.66  #4: input, references = 6, size of lhs = 7:
% 0.50/0.66     P_c7-{F}(V0), P_c10-{F}(V1), P_c9-{F}(V2), P_f5-{F}(V0,V1,V2,V3), P_c8-{F}(V4), P_f5-{F}(V0,V1,V4,V5), p4-{F}(V5,V4) | FALSE
% 0.50/0.66        (used 0 times, uses = {})
% 0.50/0.66  
% 0.50/0.66  #5: input, references = 6, size of lhs = 8:
% 0.50/0.66     P_c7-{F}(V0), P_c10-{F}(V1), P_c9-{F}(V2), P_f5-{F}(V0,V1,V2,V3), P_c8-{F}(V4), P_f5-{F}(V0,V1,V4,V5), P_f5-{F}(V0,V6,V4,V7), P_f5-{F}(V0,V6,V2,V8) | p4-{T}(V7,V8)
% 0.50/0.66        (used 0 times, uses = {})
% 0.50/0.66  
% 0.50/0.66  #6: input, references = 3, size of lhs = 8:
% 0.50/0.66     P_c7-{F}(V0), P_c10-{F}(V1), P_c9-{F}(V2), P_f5-{F}(V0,V1,V2,V3), P_c8-{F}(V4), P_f5-{F}(V0,V1,V4,V5), p2-{F}(V8,V6), p2-{F}(V8,V7) | p2-{T}(V6,V7)
% 0.50/0.66        (used 0 times, uses = {})
% 0.50/0.66  
% 0.50/0.66  #7: input, references = 7, size of lhs = 8:
% 0.50/0.66     P_c7-{F}(V0), P_c10-{F}(V1), P_c9-{F}(V2), P_f5-{F}(V0,V1,V2,V3), P_c8-{F}(V4), P_f5-{F}(V0,V1,V4,V5), p4-{F}(V8,V6), p4-{F}(V8,V7) | p4-{T}(V6,V7)
% 0.50/0.66        (used 0 times, uses = {})
% 0.50/0.66  
% 0.50/0.66  #8: input, references = 3, size of lhs = 8:
% 0.50/0.66     P_c7-{F}(V0), P_c10-{F}(V1), P_c9-{F}(V2), P_f5-{F}(V0,V1,V2,V3), P_c8-{F}(V4), P_f5-{F}(V0,V1,V4,V5), p3-{F}(V8,V6), p3-{F}(V8,V7) | p3-{T}(V6,V7)
% 0.50/0.66        (used 0 times, uses = {})
% 0.50/0.66  
% 0.50/0.66  #9: input, references = 3, size of lhs = 11:
% 0.50/0.66     P_c7-{F}(V0), P_c10-{F}(V1), P_c9-{F}(V2), P_f5-{F}(V0,V1,V2,V3), P_c8-{F}(V4), P_f5-{F}(V0,V1,V4,V5), p4-{F}(V6,V7), p4-{F}(V9,V8), P_f6-{F}(V11,V9,V6,V12), P_f6-{F}(V10,V8,V7,V13), p3-{F}(V11,V10) | p3-{T}(V12,V13)
% 0.50/0.66        (used 0 times, uses = {})
% 0.50/0.66  
% 0.50/0.66  #10: input, references = 4, size of lhs = 11:
% 0.50/0.66     P_c7-{F}(V0), P_c10-{F}(V1), P_c9-{F}(V2), P_f5-{F}(V0,V1,V2,V3), P_c8-{F}(V4), P_f5-{F}(V0,V1,V4,V5), p4-{F}(V6,V7), p3-{F}(V9,V8), P_f5-{F}(V11,V9,V6,V12), P_f5-{F}(V10,V8,V7,V13), p2-{F}(V11,V10) | p4-{T}(V12,V13)
% 0.50/0.66        (used 0 times, uses = {})
% 0.50/0.66  
% 0.50/0.66  #11: input, references = 5, size of lhs = 13:
% 0.50/0.66     P_c7-{F}(V0), P_c10-{F}(V1), P_c9-{F}(V2), P_f5-{F}(V0,V1,V2,V3), P_c8-{F}(V4), P_f5-{F}(V0,V1,V4,V5), P_f5-{F}(V0,V6,V7,V8), p4-{F}(V8,V7), P_f5-{F}(V0,V6,V9,V10), P_f6-{F}(V6,V7,V9,V11), P_f5-{F}(V0,V11,V7,V12), P_f5-{F}(V0,V11,V9,V13), p4-{F}(V12,V13) | p4-{T}(V10,V9)
% 0.50/0.66        (used 0 times, uses = {})
% 0.50/0.66  
% 0.50/0.66  #12: input, references = 9, size of lhs = 3:
% 0.50/0.66     #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_f5-{T}(V0,V1,V2,V3)
% 0.50/0.66        (used 0 times, uses = {})
% 0.50/0.66  
% 0.50/0.66  #13: input, references = 4, size of lhs = 0:
% 0.50/0.66     FALSE | EXISTS V0: P_c7-{T}(V0)
% 0.50/0.66        (used 0 times, uses = {})
% 0.50/0.66  
% 0.50/0.66  #14: input, references = 4, size of lhs = 0:
% 0.50/0.66     FALSE | EXISTS V0: P_c10-{T}(V0)
% 0.50/0.66        (used 0 times, uses = {})
% 0.50/0.66  
% 0.50/0.66  #15: input, references = 4, size of lhs = 0:
% 0.50/0.66     FALSE | EXISTS V0: P_c9-{T}(V0)
% 0.50/0.66        (used 0 times, uses = {})
% 0.50/0.66  
% 0.50/0.66  #16: input, references = 4, size of lhs = 0:
% 0.50/0.66     FALSE | EXISTS V0: P_c8-{T}(V0)
% 0.50/0.66        (used 0 times, uses = {})
% 0.50/0.66  
% 0.50/0.66  #17: input, references = 4, size of lhs = 3:
% 0.50/0.66     #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_f6-{T}(V0,V1,V2,V3)
% 0.50/0.66        (used 0 times, uses = {})
% 0.50/0.66  
% 0.50/0.66  number of initial rules = 18
% 0.50/0.66  
% 0.50/0.66  Simplifiers:
% 0.50/0.66  #18: unsound, references = 3, size of lhs = 2:
% 0.50/0.66     p2-{F}(V0,V1), V1 == V0 | FALSE
% 0.50/0.66        (used 0 times, uses = {})
% 0.50/0.66  
% 0.50/0.66  #19: unsound, references = 3, size of lhs = 3:
% 0.50/0.66     P_f5-{F}(V0,V1,V2,V3), P_f5-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.50/0.66        (used 0 times, uses = {})
% 0.50/0.66  
% 0.50/0.66  #20: unsound, references = 3, size of lhs = 3:
% 0.50/0.66     P_c7-{F}(V0), P_c7-{F}(V1), V0 == V1 | FALSE
% 0.50/0.66        (used 0 times, uses = {})
% 0.50/0.66  
% 0.50/0.66  #21: unsound, references = 3, size of lhs = 3:
% 0.50/0.66     P_c10-{F}(V0), P_c10-{F}(V1), V0 == V1 | FALSE
% 0.50/0.66        (used 0 times, uses = {})
% 0.50/0.66  
% 0.50/0.66  #22: unsound, references = 3, size of lhs = 3:
% 0.50/0.66     P_c9-{F}(V0), P_c9-{F}(V1), V0 == V1 | FALSE
% 0.50/0.66        (used 0 times, uses = {})
% 0.50/0.66  
% 0.50/0.66  #23: unsound, references = 3, size of lhs = 3:
% 0.50/0.66     P_c8-{F}(V0), P_c8-{F}(V1), V0 == V1 | FALSE
% 0.50/0.66        (used 0 times, uses = {})
% 0.50/0.66  
% 0.50/0.66  #24: unsound, references = 3, size of lhs = 3:
% 0.50/0.66     P_f6-{F}(V0,V1,V2,V3), P_f6-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.50/0.66        (used 0 times, uses = {})
% 0.50/0.66  
% 0.50/0.66  number of simplifiers = 7
% 0.50/0.66  
% 0.50/0.66  Learnt:
% 0.50/0.66  #27: exists( #12, #25 ), references = 1, size of lhs = 4:
% 0.50/0.66     P_c8-{F}(V0), P_c9-{F}(V0), P_c7-{F}(V1), P_c10-{F}(V2) | FALSE
% 0.50/0.66        (used 0 times, uses = {})
% 0.50/0.66  
% 0.50/0.66  #44: mergings( V0 == V18, V4 == V6, V5 == V7, V6 == V8, V7 == V9, V8 == V10, V9 == V11, V10 == V12, V11 == V13; #34 ), references = 2, size of lhs = 11:
% 0.50/0.66     P_c7-{F}(V0), p2-{F}(V0,V0), P_c10-{F}(V1), P_c9-{F}(V2), P_f5-{F}(V0,V1,V2,V3), P_c8-{F}(V4), p3-{F}(V5,V1), p4-{F}(V6,V4), P_f5-{F}(V0,V7,V4,V6), P_f5-{F}(V0,V7,V2,V8), P_f5-{F}(V0,V5,V8,V8) | FALSE
% 0.50/0.66        (used 0 times, uses = {})
% 0.50/0.66  
% 0.50/0.66  #84: mergings( V8 == V0, V0 == V19, V4 == V9, V9 == V14, V14 == V20, V2 == V10, V11 == V5, V10 == V15, V5 == V16, V15 == V21, V16 == V22, V6 == V12, V13 == V7, V12 == V17, V7 == V18, V17 == V23, V18 == V24, V26 == V27; #64 ), references = 2, size of lhs = 12:
% 0.50/0.66     P_c7-{F}(V0), P_c10-{F}(V1), P_c9-{F}(V2), P_f5-{F}(V0,V1,V2,V3), P_c8-{F}(V4), P_f5-{F}(V0,V1,V4,V5), P_f5-{F}(V0,V6,V4,V5), P_f6-{F}(V6,V2,V4,V7), P_f5-{F}(V0,V7,V4,V8), p4-{F}(V8,V8), P_f5-{F}(V0,V6,V2,V9), p4-{F}(V9,V2) | FALSE
% 0.50/0.66        (used 0 times, uses = {})
% 0.50/0.66  
% 0.50/0.66  #102: mergings( V8 == V0, V0 == V19, V4 == V9, V9 == V14, V14 == V20, V2 == V10, V11 == V5, V10 == V15, V5 == V16, V15 == V21, V16 == V22, V6 == V12, V13 == V7, V12 == V17, V7 == V18, V17 == V23, V29 == V30; #65 ), references = 2, size of lhs = 17:
% 0.50/0.66     P_c7-{F}(V0), p2-{F}(V0,V0), P_c10-{F}(V1), P_c9-{F}(V2), P_f5-{F}(V0,V1,V2,V3), P_c8-{F}(V4), P_f5-{F}(V0,V1,V4,V5), p3-{F}(V6,V1), P_f5-{F}(V0,V6,V7,V7), P_f5-{F}(V0,V8,V2,V7), P_f5-{F}(V0,V8,V4,V9), P_f5-{F}(V0,V10,V4,V9), P_f6-{F}(V10,V2,V4,V11), P_f5-{F}(V0,V11,V4,V12), p4-{F}(V12,V12), P_f5-{F}(V0,V10,V2,V13), p4-{F}(V13,V2) | FALSE
% 0.50/0.66        (used 0 times, uses = {})
% 0.50/0.66  
% 0.50/0.66  #107: exists( #12, #103 ), references = 1, size of lhs = 10:
% 0.50/0.66     P_c7-{F}(V0), P_c10-{F}(V1), P_c9-{F}(V2), P_f5-{F}(V0,V1,V2,V3), P_c8-{F}(V4), P_f5-{F}(V0,V1,V4,V5), P_f5-{F}(V0,V6,V4,V5), P_f6-{F}(V6,V2,V4,V7), P_f5-{F}(V0,V6,V2,V8), p4-{F}(V8,V2) | FALSE
% 0.50/0.66        (used 0 times, uses = {})
% 0.50/0.66  
% 0.50/0.66  #108: exists( #12, #104 ), references = 1, size of lhs = 15:
% 0.50/0.66     P_c7-{F}(V0), p2-{F}(V0,V0), P_c10-{F}(V1), P_c9-{F}(V2), P_f5-{F}(V0,V1,V2,V3), P_c8-{F}(V4), P_f5-{F}(V0,V1,V4,V5), p3-{F}(V6,V1), P_f5-{F}(V0,V6,V7,V7), P_f5-{F}(V0,V8,V2,V7), P_f5-{F}(V0,V8,V4,V9), P_f5-{F}(V0,V10,V4,V9), P_f6-{F}(V10,V2,V4,V11), P_f5-{F}(V0,V10,V2,V12), p4-{F}(V12,V2) | FALSE
% 0.50/0.66        (used 0 times, uses = {})
% 0.50/0.66  
% 0.50/0.66  #111: exists( #17, #105 ), references = 1, size of lhs = 9:
% 0.50/0.66     P_c7-{F}(V0), P_c10-{F}(V1), P_c9-{F}(V2), P_f5-{F}(V0,V1,V2,V3), P_c8-{F}(V4), P_f5-{F}(V0,V1,V4,V5), P_f5-{F}(V0,V6,V4,V5), P_f5-{F}(V0,V6,V2,V7), p4-{F}(V7,V2) | FALSE
% 0.50/0.66        (used 0 times, uses = {})
% 0.50/0.66  
% 0.50/0.66  #112: exists( #17, #106 ), references = 1, size of lhs = 14:
% 0.50/0.66     P_c7-{F}(V0), p2-{F}(V0,V0), P_c10-{F}(V1), P_c9-{F}(V2), P_f5-{F}(V0,V1,V2,V3), P_c8-{F}(V4), P_f5-{F}(V0,V1,V4,V5), p3-{F}(V6,V1), P_f5-{F}(V0,V6,V7,V7), P_f5-{F}(V0,V8,V2,V7), P_f5-{F}(V0,V8,V4,V9), P_f5-{F}(V0,V10,V4,V9), P_f5-{F}(V0,V10,V2,V11), p4-{F}(V11,V2) | FALSE
% 0.50/0.66        (used 0 times, uses = {})
% 0.50/0.66  
% 0.50/0.66  #116: mergings( V5 == V6; #113 ), references = 2, size of lhs = 6:
% 0.50/0.66     P_c7-{F}(V0), P_c10-{F}(V1), P_c9-{F}(V2), P_c8-{F}(V3), P_f5-{F}(V0,V1,V2,V4), p4-{F}(V4,V2) | FALSE
% 0.50/0.66        (used 0 times, uses = {})
% 0.50/0.66  
% 0.50/0.66  #119: exists( #12, #117 ), references = 1, size of lhs = 4:
% 0.50/0.66     P_c7-{F}(V0), P_c10-{F}(V1), P_c9-{F}(V2), P_c8-{F}(V3) | FALSE
% 0.50/0.66        (used 0 times, uses = {})
% 0.50/0.66  
% 0.50/0.66  #121: exists( #16, #118 ), references = 1, size of lhs = 3:
% 0.50/0.66     P_c7-{F}(V0), P_c10-{F}(V1), P_c9-{F}(V2) | FALSE
% 0.50/0.66        (used 0 times, uses = {})
% 0.50/0.66  
% 0.50/0.66  #123: exists( #15, #120 ), references = 1, size of lhs = 2:
% 0.50/0.66     P_c7-{F}(V0), P_c10-{F}(V1) | FALSE
% 0.50/0.66        (used 0 times, uses = {})
% 0.50/0.66  
% 0.50/0.66  #125: exists( #14, #122 ), references = 1, size of lhs = 1:
% 0.50/0.66     P_c7-{F}(V0) | FALSE
% 0.50/0.66        (used 0 times, uses = {})
% 0.50/0.66  
% 0.50/0.66  #127: exists( #13, #124 ), references = 1, size of lhs = 0:
% 0.50/0.66     FALSE | FALSE
% 0.50/0.66        (used 0 times, uses = {})
% 0.50/0.66  
% 0.50/0.66  number of learnt formulas = 14
% 0.50/0.66  
% 0.50/0.66  
% 0.50/0.66  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.50/0.66  
% 0.50/0.66  randbase = 1
%------------------------------------------------------------------------------