TSTP Solution File: SYN551+3 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SYN551+3 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n005.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 06:24:56 EDT 2022

% Result   : Theorem 0.13s 0.38s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN551+3 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.11/0.13  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34  % Computer : n005.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 : Sat Jul 23 03:40:05 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.38  GeoParameters:
% 0.13/0.38  
% 0.13/0.38  tptp_input =     1
% 0.13/0.38  tptp_output =    0
% 0.13/0.38  nonempty =       1
% 0.13/0.38  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.38  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.13/0.38  
% 0.13/0.38  
% 0.13/0.38  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.38  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.38  
% 0.13/0.38  RuleSystem INPUT:
% 0.13/0.38  
% 0.13/0.38  Initial Rules:
% 0.13/0.38  #0: input, references = 4, size of lhs = 0:
% 0.13/0.38     FALSE | pppp0-{T}(), pppp1-{T}()
% 0.13/0.38        (used 0 times, uses = {})
% 0.13/0.38  
% 0.13/0.38  #1: input, references = 3, size of lhs = 2:
% 0.13/0.38     pppp1-{F}(), pppp0-{F}() | FALSE
% 0.13/0.38        (used 0 times, uses = {})
% 0.13/0.38  
% 0.13/0.38  #2: input, references = 4, size of lhs = 1:
% 0.13/0.38     pppp1-{F}() | EXISTS V0: pppp2-{T}(V0)
% 0.13/0.38        (used 0 times, uses = {})
% 0.13/0.38  
% 0.13/0.38  #3: input, references = 4, size of lhs = 2:
% 0.13/0.38     P_f-{F}(V2,V1), P_g-{F}(V1,V2) | pppp1-{T}(), pppp6-{T}(V2)
% 0.13/0.38        (used 0 times, uses = {})
% 0.13/0.38  
% 0.13/0.38  #4: input, references = 4, size of lhs = 1:
% 0.13/0.38     pppp6-{F}(V0) | EXISTS V1: pppp3-{T}(V0,V1)
% 0.13/0.38        (used 0 times, uses = {})
% 0.13/0.38  
% 0.13/0.38  #5: input, references = 4, size of lhs = 3:
% 0.13/0.38     pppp3-{F}(V0,V0), P_f-{F}(V0,V2), P_g-{F}(V2,V3) | FALSE
% 0.13/0.38        (used 0 times, uses = {})
% 0.13/0.38  
% 0.13/0.38  #6: input, references = 5, size of lhs = 4:
% 0.13/0.38     pppp3-{F}(V0,V1), P_f-{F}(V1,V2), P_g-{F}(V2,V3), V1 == V3 | FALSE
% 0.13/0.38        (used 0 times, uses = {})
% 0.13/0.38  
% 0.13/0.38  #7: input, references = 5, size of lhs = 6:
% 0.13/0.38     pppp2-{F}(V0), P_f-{F}(V0,V1), P_g-{F}(V1,V2), P_f-{F}(V5,V4), P_g-{F}(V4,V5), V5 == V0 | FALSE
% 0.13/0.38        (used 0 times, uses = {})
% 0.13/0.38  
% 0.13/0.38  #8: input, references = 4, size of lhs = 4:
% 0.13/0.38     pppp2-{F}(V0), P_f-{F}(V0,V1), P_g-{F}(V1,V2), V0 == V2 | FALSE
% 0.13/0.38        (used 0 times, uses = {})
% 0.13/0.38  
% 0.13/0.38  #9: input, references = 4, size of lhs = 1:
% 0.13/0.38     pppp0-{F}() | EXISTS V0: pppp4-{T}(V0)
% 0.13/0.38        (used 0 times, uses = {})
% 0.13/0.38  
% 0.13/0.38  #10: input, references = 4, size of lhs = 2:
% 0.13/0.38     P_g-{F}(V2,V1), P_f-{F}(V1,V2) | pppp0-{T}(), pppp7-{T}(V2)
% 0.13/0.38        (used 0 times, uses = {})
% 0.13/0.38  
% 0.13/0.38  #11: input, references = 4, size of lhs = 1:
% 0.13/0.38     pppp7-{F}(V0) | EXISTS V1: pppp5-{T}(V0,V1)
% 0.13/0.38        (used 0 times, uses = {})
% 0.13/0.38  
% 0.13/0.38  #12: input, references = 4, size of lhs = 3:
% 0.13/0.38     pppp5-{F}(V0,V0), P_g-{F}(V0,V2), P_f-{F}(V2,V3) | FALSE
% 0.13/0.38        (used 0 times, uses = {})
% 0.13/0.38  
% 0.13/0.38  #13: input, references = 5, size of lhs = 4:
% 0.13/0.38     pppp5-{F}(V0,V1), P_g-{F}(V1,V2), P_f-{F}(V2,V3), V1 == V3 | FALSE
% 0.13/0.38        (used 0 times, uses = {})
% 0.13/0.38  
% 0.13/0.38  #14: input, references = 4, size of lhs = 6:
% 0.13/0.38     pppp4-{F}(V0), P_g-{F}(V0,V1), P_f-{F}(V1,V2), P_g-{F}(V5,V4), P_f-{F}(V4,V5), V5 == V0 | FALSE
% 0.13/0.38        (used 0 times, uses = {})
% 0.13/0.38  
% 0.13/0.38  #15: input, references = 4, size of lhs = 4:
% 0.13/0.38     pppp4-{F}(V0), P_g-{F}(V0,V1), P_f-{F}(V1,V2), V0 == V2 | FALSE
% 0.13/0.38        (used 0 times, uses = {})
% 0.13/0.38  
% 0.13/0.38  #16: input, references = 7, size of lhs = 1:
% 0.13/0.38     #-{F} V0 | EXISTS V1: P_f-{T}(V0,V1)
% 0.13/0.38        (used 0 times, uses = {})
% 0.13/0.38  
% 0.13/0.38  #17: input, references = 9, size of lhs = 1:
% 0.13/0.38     #-{F} V0 | EXISTS V1: P_g-{T}(V0,V1)
% 0.13/0.38        (used 0 times, uses = {})
% 0.13/0.38  
% 0.13/0.38  number of initial rules = 18
% 0.13/0.38  
% 0.13/0.38  Simplifiers:
% 0.13/0.38  #18: unsound, references = 3, size of lhs = 3:
% 0.13/0.38     P_g-{F}(V0,V1), P_g-{F}(V0,V3), V1 == V3 | FALSE
% 0.13/0.38        (used 0 times, uses = {})
% 0.13/0.38  
% 0.13/0.38  #19: unsound, references = 3, size of lhs = 3:
% 0.13/0.38     P_f-{F}(V0,V1), P_f-{F}(V0,V3), V1 == V3 | FALSE
% 0.13/0.38        (used 0 times, uses = {})
% 0.13/0.38  
% 0.13/0.38  #20: unsound, references = 3, size of lhs = 3:
% 0.13/0.38     pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 0.13/0.38        (used 0 times, uses = {})
% 0.13/0.38  
% 0.13/0.38  #21: unsound, references = 3, size of lhs = 3:
% 0.13/0.38     pppp3-{F}(V0,V1), pppp3-{F}(V0,V3), V1 == V3 | FALSE
% 0.13/0.38        (used 0 times, uses = {})
% 0.13/0.38  
% 0.13/0.38  #22: unsound, references = 3, size of lhs = 3:
% 0.13/0.38     pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 0.13/0.38        (used 0 times, uses = {})
% 0.13/0.38  
% 0.13/0.38  #23: unsound, references = 3, size of lhs = 3:
% 0.13/0.38     pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 0.13/0.38        (used 0 times, uses = {})
% 0.13/0.38  
% 0.13/0.38  number of simplifiers = 6
% 0.13/0.38  
% 0.13/0.38  Learnt:
% 0.13/0.38  #25: disj( #10, input ), references = 2, size of lhs = 3:
% 0.13/0.38     pppp1-{F}(), P_g-{F}(V0,V1), P_f-{F}(V1,V0) | pppp7-{T}(V0)
% 0.13/0.38        (used 0 times, uses = {})
% 0.13/0.38  
% 0.13/0.38  #27: exists( #16, #13 ), references = 1, size of lhs = 2:
% 0.13/0.38     pppp5-{F}(V0,V1), P_g-{F}(V1,V2) | P_f-{T}(V2,V1)
% 0.13/0.38        (used 0 times, uses = {})
% 0.13/0.38  
% 0.13/0.38  #30: exists( #17, #28 ), references = 1, size of lhs = 4:
% 0.13/0.38     pppp2-{F}(V0), P_f-{F}(V0,V1), P_g-{F}(V1,V2), pppp5-{F}(V3,V4) | P_g-{T}(V4,V0)
% 0.13/0.38        (used 0 times, uses = {})
% 0.13/0.38  
% 0.13/0.38  #34: mergings( V3 == V5; #32 ), references = 2, size of lhs = 4:
% 0.13/0.38     pppp7-{F}(V0), pppp2-{F}(V1), P_f-{F}(V1,V2), P_g-{F}(V2,V3) | pppp5-{T}(V0,V2)
% 0.13/0.38        (used 0 times, uses = {})
% 0.13/0.38  
% 0.13/0.38  #38: exists( #17, #7 ), references = 1, size of lhs = 5:
% 0.13/0.38     pppp2-{F}(V0), P_f-{F}(V0,V1), P_f-{F}(V2,V3), V2 == V0, P_g-{F}(V3,V2) | FALSE
% 0.13/0.38        (used 0 times, uses = {})
% 0.13/0.38  
% 0.13/0.38  #42: exists( #17, #8 ), references = 1, size of lhs = 2:
% 0.13/0.38     pppp2-{F}(V0), P_f-{F}(V0,V1) | P_g-{T}(V1,V0)
% 0.13/0.38        (used 0 times, uses = {})
% 0.13/0.38  
% 0.13/0.38  #47: exists( #16, #45 ), references = 1, size of lhs = 2:
% 0.13/0.38     pppp1-{F}(), pppp2-{F}(V0) | FALSE
% 0.13/0.38        (used 0 times, uses = {})
% 0.13/0.38  
% 0.13/0.38  #49: exists( #2, #46 ), references = 1, size of lhs = 1:
% 0.13/0.38     pppp1-{F}() | FALSE
% 0.13/0.38        (used 0 times, uses = {})
% 0.13/0.38  
% 0.13/0.38  #51: disj( #0, exists( #2, #46 ) ), references = 1, size of lhs = 0:
% 0.13/0.38     FALSE | pppp0-{T}()
% 0.13/0.38        (used 0 times, uses = {})
% 0.13/0.38  
% 0.13/0.38  #54: exists( #16, #14 ), references = 1, size of lhs = 5:
% 0.13/0.38     pppp4-{F}(V0), P_g-{F}(V0,V1), P_g-{F}(V2,V3), V2 == V0, P_f-{F}(V3,V2) | FALSE
% 0.13/0.38        (used 0 times, uses = {})
% 0.13/0.38  
% 0.13/0.38  #55: exists( #16, #15 ), references = 2, size of lhs = 2:
% 0.13/0.38     pppp4-{F}(V0), P_g-{F}(V0,V1) | P_f-{T}(V1,V0)
% 0.13/0.38        (used 0 times, uses = {})
% 0.13/0.38  
% 0.13/0.38  #57: exists( #17, #53 ), references = 2, size of lhs = 4:
% 0.13/0.38     pppp4-{F}(V0), P_g-{F}(V1,V2), V1 == V0, P_f-{F}(V2,V1) | FALSE
% 0.13/0.38        (used 0 times, uses = {})
% 0.13/0.38  
% 0.13/0.38  #60: disj( #3, exists( #2, #46 ) ), references = 2, size of lhs = 2:
% 0.13/0.38     P_f-{F}(V0,V1), P_g-{F}(V1,V0) | pppp6-{T}(V0)
% 0.13/0.38        (used 0 times, uses = {})
% 0.13/0.38  
% 0.13/0.38  #62: exists( #17, #6 ), references = 1, size of lhs = 2:
% 0.13/0.38     pppp3-{F}(V0,V1), P_f-{F}(V1,V2) | P_g-{T}(V2,V1)
% 0.13/0.38        (used 0 times, uses = {})
% 0.13/0.38  
% 0.13/0.38  #69: exists( #16, #63 ), references = 1, size of lhs = 2:
% 0.13/0.38     pppp4-{F}(V0), pppp3-{F}(V1,V2) | P_f-{T}(V2,V0)
% 0.13/0.38        (used 0 times, uses = {})
% 0.13/0.38  
% 0.13/0.38  #72: exists( #4, #70 ), references = 2, size of lhs = 3:
% 0.13/0.38     pppp6-{F}(V0), pppp4-{F}(V1), P_g-{F}(V1,V2) | pppp3-{T}(V0,V2)
% 0.13/0.38        (used 0 times, uses = {})
% 0.13/0.38  
% 0.13/0.38  #79: exists( #17, #77 ), references = 1, size of lhs = 1:
% 0.13/0.38     pppp4-{F}(V0) | FALSE
% 0.13/0.38        (used 0 times, uses = {})
% 0.13/0.38  
% 0.13/0.38  #81: exists( #9, #78 ), references = 1, size of lhs = 1:
% 0.13/0.38     pppp0-{F}() | FALSE
% 0.13/0.38        (used 0 times, uses = {})
% 0.13/0.38  
% 0.13/0.38  #83: #50+#80, references = 1, size of lhs = 0:
% 0.13/0.38     FALSE | FALSE
% 0.13/0.38        (used 0 times, uses = {})
% 0.13/0.38  
% 0.13/0.38  number of learnt formulas = 19
% 0.13/0.38  
% 0.13/0.38  
% 0.13/0.38  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.38  
% 0.13/0.38  randbase = 1
%------------------------------------------------------------------------------