TSTP Solution File: PHI009+1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : PHI009+1 : TPTP v8.1.0. Released v7.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n013.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 06:13:50 EDT 2022

% Result   : Theorem 0.15s 0.32s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : PHI009+1 : TPTP v8.1.0. Released v7.2.0.
% 0.06/0.11  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.11/0.31  % Computer : n013.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 300
% 0.11/0.31  % DateTime : Fri Jul 22 08:41:45 EDT 2022
% 0.11/0.31  % CPUTime  : 
% 0.15/0.32  GeoParameters:
% 0.15/0.32  
% 0.15/0.32  tptp_input =     1
% 0.15/0.32  tptp_output =    0
% 0.15/0.32  nonempty =       1
% 0.15/0.32  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.32  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.15/0.32  
% 0.15/0.32  
% 0.15/0.32  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.32  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.32  
% 0.15/0.32  RuleSystem INPUT:
% 0.15/0.32  
% 0.15/0.32  Initial Rules:
% 0.15/0.32  #0: input, references = 3, size of lhs = 4:
% 0.15/0.32     object-{F}(V0), property-{F}(V1), property-{F}(V2), pppp0-{F}(V2,V1,V0) | pppp1-{T}(V2,V1)
% 0.15/0.32        (used 0 times, uses = {})
% 0.15/0.32  
% 0.15/0.32  #1: input, references = 4, size of lhs = 4:
% 0.15/0.32     object-{F}(V0), property-{F}(V1), property-{F}(V2), pppp1-{F}(V2,V1) | pppp0-{T}(V2,V1,V0)
% 0.15/0.32        (used 0 times, uses = {})
% 0.15/0.32  
% 0.15/0.32  #2: input, references = 3, size of lhs = 1:
% 0.15/0.32     pppp1-{F}(V0,V1) | EXISTS V2: pppp2-{T}(V0,V1,V2)
% 0.15/0.32        (used 0 times, uses = {})
% 0.15/0.32  
% 0.15/0.32  #3: input, references = 4, size of lhs = 3:
% 0.15/0.32     object-{F}(V2), exemplifies_property-{F}(V0,V2), exemplifies_property-{F}(V1,V2) | pppp1-{T}(V0,V1), pppp6-{T}(V0,V2)
% 0.15/0.32        (used 0 times, uses = {})
% 0.15/0.32  
% 0.15/0.32  #4: input, references = 4, size of lhs = 1:
% 0.15/0.32     pppp6-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V0,V1,V2)
% 0.15/0.32        (used 0 times, uses = {})
% 0.15/0.32  
% 0.15/0.32  #5: input, references = 4, size of lhs = 1:
% 0.15/0.32     pppp3-{F}(V0,V1,V1) | FALSE
% 0.15/0.32        (used 0 times, uses = {})
% 0.15/0.32  
% 0.15/0.32  #6: input, references = 4, size of lhs = 1:
% 0.15/0.32     pppp3-{F}(V0,V1,V2) | exemplifies_property-{T}(V0,V2)
% 0.15/0.32        (used 0 times, uses = {})
% 0.15/0.32  
% 0.15/0.32  #7: input, references = 4, size of lhs = 1:
% 0.15/0.32     pppp3-{F}(V0,V1,V2) | object-{T}(V2)
% 0.15/0.32        (used 0 times, uses = {})
% 0.15/0.32  
% 0.15/0.32  #8: input, references = 3, size of lhs = 1:
% 0.15/0.32     pppp2-{F}(V0,V1,V2) | exemplifies_property-{T}(V1,V2)
% 0.15/0.32        (used 0 times, uses = {})
% 0.15/0.32  
% 0.15/0.32  #9: input, references = 3, size of lhs = 4:
% 0.15/0.32     pppp2-{F}(V0,V1,V2), object-{F}(V3), exemplifies_property-{F}(V0,V3), V3 == V2 | FALSE
% 0.15/0.32        (used 0 times, uses = {})
% 0.15/0.32  
% 0.15/0.32  #10: input, references = 3, size of lhs = 1:
% 0.15/0.32     pppp2-{F}(V0,V1,V2) | exemplifies_property-{T}(V0,V2)
% 0.15/0.32        (used 0 times, uses = {})
% 0.15/0.32  
% 0.15/0.32  #11: input, references = 3, size of lhs = 1:
% 0.15/0.32     pppp2-{F}(V0,V1,V2) | object-{T}(V2)
% 0.15/0.32        (used 0 times, uses = {})
% 0.15/0.32  
% 0.15/0.32  #12: input, references = 4, size of lhs = 1:
% 0.15/0.32     pppp0-{F}(V0,V1,V2) | is_the-{T}(V2,V0)
% 0.15/0.32        (used 0 times, uses = {})
% 0.15/0.32  
% 0.15/0.32  #13: input, references = 3, size of lhs = 1:
% 0.15/0.32     pppp0-{F}(V0,V1,V2) | exemplifies_property-{T}(V1,V2)
% 0.15/0.32        (used 0 times, uses = {})
% 0.15/0.32  
% 0.15/0.32  #14: input, references = 3, size of lhs = 2:
% 0.15/0.32     is_the-{F}(V2,V0), exemplifies_property-{F}(V1,V2) | pppp0-{T}(V0,V1,V2)
% 0.15/0.32        (used 0 times, uses = {})
% 0.15/0.32  
% 0.15/0.32  #15: input, references = 4, size of lhs = 0:
% 0.15/0.32     FALSE | EXISTS V0: pppp5-{T}(V0)
% 0.15/0.32        (used 0 times, uses = {})
% 0.15/0.32  
% 0.15/0.32  #16: input, references = 4, size of lhs = 3:
% 0.15/0.32     pppp5-{F}(V0), object-{F}(V1), is_the-{F}(V1,V0) | FALSE
% 0.15/0.32        (used 0 times, uses = {})
% 0.15/0.32  
% 0.15/0.32  #17: input, references = 4, size of lhs = 1:
% 0.15/0.32     pppp5-{F}(V0) | EXISTS V1: pppp4-{T}(V0,V1)
% 0.15/0.32        (used 0 times, uses = {})
% 0.15/0.32  
% 0.15/0.32  #18: input, references = 4, size of lhs = 1:
% 0.15/0.32     pppp5-{F}(V0) | property-{T}(V0)
% 0.15/0.32        (used 0 times, uses = {})
% 0.15/0.32  
% 0.15/0.32  #19: input, references = 4, size of lhs = 4:
% 0.15/0.32     pppp4-{F}(V0,V1), object-{F}(V2), exemplifies_property-{F}(V0,V2), V2 == V1 | FALSE
% 0.15/0.32        (used 0 times, uses = {})
% 0.15/0.32  
% 0.15/0.32  #20: input, references = 4, size of lhs = 1:
% 0.15/0.32     pppp4-{F}(V0,V1) | exemplifies_property-{T}(V0,V1)
% 0.15/0.32        (used 0 times, uses = {})
% 0.15/0.32  
% 0.15/0.32  #21: input, references = 4, size of lhs = 1:
% 0.15/0.32     pppp4-{F}(V0,V1) | object-{T}(V1)
% 0.15/0.32        (used 0 times, uses = {})
% 0.15/0.32  
% 0.15/0.32  number of initial rules = 22
% 0.15/0.32  
% 0.15/0.32  Simplifiers:
% 0.15/0.32  #22: unsound, references = 3, size of lhs = 3:
% 0.15/0.32     property-{F}(V0), property-{F}(V1), V0 == V1 | FALSE
% 0.15/0.32        (used 0 times, uses = {})
% 0.15/0.32  
% 0.15/0.32  #23: unsound, references = 3, size of lhs = 3:
% 0.15/0.32     is_the-{F}(V0,V1), is_the-{F}(V2,V3), V1 == V3 | FALSE
% 0.15/0.32        (used 0 times, uses = {})
% 0.15/0.32  
% 0.15/0.32  #24: unsound, references = 3, size of lhs = 3:
% 0.15/0.32     exemplifies_property-{F}(V0,V1), exemplifies_property-{F}(V2,V3), V0 == V2 | FALSE
% 0.15/0.32        (used 0 times, uses = {})
% 0.15/0.32  
% 0.15/0.32  #25: unsound, references = 3, size of lhs = 2:
% 0.15/0.32     pppp0-{F}(V0,V1,V2), V1 == V0 | FALSE
% 0.15/0.32        (used 0 times, uses = {})
% 0.15/0.32  
% 0.15/0.32  #26: unsound, references = 3, size of lhs = 3:
% 0.15/0.32     pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.15/0.32        (used 0 times, uses = {})
% 0.15/0.32  
% 0.15/0.32  #27: unsound, references = 3, size of lhs = 2:
% 0.15/0.32     pppp1-{F}(V0,V1), V1 == V0 | FALSE
% 0.15/0.32        (used 0 times, uses = {})
% 0.15/0.32  
% 0.15/0.32  #28: unsound, references = 3, size of lhs = 3:
% 0.15/0.32     pppp1-{F}(V0,V1), pppp1-{F}(V2,V3), V0 == V2 | FALSE
% 0.15/0.32        (used 0 times, uses = {})
% 0.15/0.32  
% 0.15/0.32  #29: unsound, references = 3, size of lhs = 2:
% 0.15/0.32     pppp2-{F}(V0,V1,V2), V1 == V0 | FALSE
% 0.15/0.32        (used 0 times, uses = {})
% 0.15/0.32  
% 0.15/0.32  #30: unsound, references = 3, size of lhs = 3:
% 0.15/0.32     pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V4,V5), V2 == V5 | FALSE
% 0.15/0.32        (used 0 times, uses = {})
% 0.15/0.32  
% 0.15/0.32  #31: unsound, references = 3, size of lhs = 3:
% 0.15/0.32     pppp2-{F}(V0,V1,V2), pppp2-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.15/0.32        (used 0 times, uses = {})
% 0.15/0.32  
% 0.15/0.32  #32: unsound, references = 3, size of lhs = 3:
% 0.15/0.32     pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.15/0.32        (used 0 times, uses = {})
% 0.15/0.32  
% 0.15/0.32  #33: unsound, references = 3, size of lhs = 3:
% 0.15/0.32     pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.15/0.32        (used 0 times, uses = {})
% 0.15/0.32  
% 0.15/0.32  #34: unsound, references = 3, size of lhs = 3:
% 0.15/0.32     pppp4-{F}(V0,V1), pppp4-{F}(V0,V3), V1 == V3 | FALSE
% 0.15/0.32        (used 0 times, uses = {})
% 0.15/0.32  
% 0.15/0.32  #35: unsound, references = 3, size of lhs = 3:
% 0.15/0.32     pppp4-{F}(V0,V1), pppp4-{F}(V2,V3), V0 == V2 | FALSE
% 0.15/0.32        (used 0 times, uses = {})
% 0.15/0.32  
% 0.15/0.32  #36: unsound, references = 3, size of lhs = 3:
% 0.15/0.32     pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 0.15/0.32        (used 0 times, uses = {})
% 0.15/0.32  
% 0.15/0.32  #37: unsound, references = 3, size of lhs = 3:
% 0.15/0.32     pppp6-{F}(V0,V1), pppp6-{F}(V2,V3), V0 == V2 | FALSE
% 0.15/0.32        (used 0 times, uses = {})
% 0.15/0.32  
% 0.15/0.32  number of simplifiers = 16
% 0.15/0.32  
% 0.15/0.32  Learnt:
% 0.15/0.32  #41: exists( #4, #39 ), references = 1, size of lhs = 2:
% 0.15/0.32     pppp6-{F}(V0,V1), pppp4-{F}(V0,V2) | pppp3-{T}(V0,V1,V2)
% 0.15/0.32        (used 0 times, uses = {})
% 0.15/0.32  
% 0.15/0.32  #45: mergings( V1 == V2; #43 ), references = 1, size of lhs = 3:
% 0.15/0.32     object-{F}(V0), pppp4-{F}(V1,V0), exemplifies_property-{F}(V1,V0) | pppp1-{T}(V1,V1)
% 0.15/0.32        (used 0 times, uses = {})
% 0.15/0.32  
% 0.15/0.32  #52: exists( #17, #50 ), references = 1, size of lhs = 2:
% 0.15/0.32     property-{F}(V0), pppp5-{F}(V0) | FALSE
% 0.15/0.32        (used 0 times, uses = {})
% 0.15/0.32  
% 0.15/0.32  #55: exists( #15, #53 ), references = 1, size of lhs = 0:
% 0.15/0.32     FALSE | FALSE
% 0.15/0.32        (used 0 times, uses = {})
% 0.15/0.32  
% 0.15/0.32  number of learnt formulas = 4
% 0.15/0.32  
% 0.15/0.32  
% 0.15/0.32  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.32  
% 0.15/0.32  randbase = 1
%------------------------------------------------------------------------------