TSTP Solution File: SET625+3 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SET625+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n021.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 06:16:29 EDT 2022

% Result   : Theorem 0.12s 0.36s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET625+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n021.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 : Sat Jul 23 01:59:49 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.36  GeoParameters:
% 0.12/0.36  
% 0.12/0.36  tptp_input =     1
% 0.12/0.36  tptp_output =    0
% 0.12/0.36  nonempty =       1
% 0.12/0.36  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.36  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.12/0.36  
% 0.12/0.36  
% 0.12/0.36  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.36  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.36  
% 0.12/0.36  RuleSystem INPUT:
% 0.12/0.36  
% 0.12/0.36  Initial Rules:
% 0.12/0.36  #0: input, references = 4, size of lhs = 1:
% 0.12/0.36     intersect-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #1: input, references = 5, size of lhs = 1:
% 0.12/0.36     pppp0-{F}(V0,V1) | intersect-{T}(V0,V1)
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #2: input, references = 5, size of lhs = 1:
% 0.12/0.36     pppp0-{F}(V0,V1) | EXISTS V2: pppp2-{T}(V0,V1,V2)
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #3: input, references = 5, size of lhs = 2:
% 0.12/0.36     member-{F}(V2,V0), member-{F}(V2,V1) | pppp0-{T}(V0,V1)
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #4: input, references = 5, size of lhs = 1:
% 0.12/0.36     pppp2-{F}(V0,V1,V2) | member-{T}(V2,V1)
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #5: input, references = 4, size of lhs = 1:
% 0.12/0.36     pppp2-{F}(V0,V1,V2) | member-{T}(V2,V0)
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #6: input, references = 4, size of lhs = 1:
% 0.12/0.36     subset-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #7: input, references = 3, size of lhs = 1:
% 0.12/0.36     pppp1-{F}(V0,V1) | subset-{T}(V0,V1)
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #8: input, references = 5, size of lhs = 2:
% 0.12/0.36     pppp1-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #9: input, references = 4, size of lhs = 2:
% 0.12/0.36     #-{F} V0, #-{F} V1 | pppp1-{T}(V0,V1), pppp7-{T}(V0,V1)
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #10: input, references = 3, size of lhs = 1:
% 0.12/0.36     pppp7-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V0,V1,V2)
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #11: input, references = 3, size of lhs = 2:
% 0.12/0.36     pppp3-{F}(V0,V1,V2), member-{F}(V2,V1) | FALSE
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #12: input, references = 3, size of lhs = 1:
% 0.12/0.36     pppp3-{F}(V0,V1,V2) | member-{T}(V2,V0)
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #13: input, references = 3, size of lhs = 1:
% 0.12/0.36     intersect-{F}(V0,V1) | intersect-{T}(V1,V0)
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #14: input, references = 3, size of lhs = 1:
% 0.12/0.36     #-{F} V0 | subset-{T}(V0,V0)
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #15: input, references = 4, size of lhs = 0:
% 0.12/0.36     FALSE | EXISTS V0: pppp6-{T}(V0)
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #16: input, references = 4, size of lhs = 1:
% 0.12/0.36     pppp6-{F}(V0) | EXISTS V1: pppp5-{T}(V0,V1)
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #17: input, references = 5, size of lhs = 1:
% 0.12/0.36     pppp5-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V2,V0,V1)
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #18: input, references = 4, size of lhs = 1:
% 0.12/0.36     pppp5-{F}(V0,V1) | subset-{T}(V0,V1)
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #19: input, references = 6, size of lhs = 2:
% 0.12/0.36     pppp4-{F}(V0,V1,V2), intersect-{F}(V0,V2) | FALSE
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #20: input, references = 5, size of lhs = 1:
% 0.12/0.36     pppp4-{F}(V0,V1,V2) | intersect-{T}(V0,V1)
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  number of initial rules = 21
% 0.12/0.36  
% 0.12/0.36  Simplifiers:
% 0.12/0.36  #21: unsound, references = 3, size of lhs = 3:
% 0.12/0.36     pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #22: unsound, references = 3, size of lhs = 3:
% 0.12/0.36     pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #23: unsound, references = 3, size of lhs = 3:
% 0.12/0.36     pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #24: unsound, references = 3, size of lhs = 3:
% 0.12/0.36     pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V1,V5), V2 == V5 | FALSE
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #25: unsound, references = 3, size of lhs = 3:
% 0.12/0.36     pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #26: unsound, references = 3, size of lhs = 3:
% 0.12/0.36     pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #27: unsound, references = 3, size of lhs = 3:
% 0.12/0.36     pppp5-{F}(V0,V1), pppp5-{F}(V2,V3), V0 == V2 | FALSE
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #28: unsound, references = 3, size of lhs = 3:
% 0.12/0.36     pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  number of simplifiers = 8
% 0.12/0.36  
% 0.12/0.36  Learnt:
% 0.12/0.36  #31: exists( #17, #29 ), references = 1, size of lhs = 1:
% 0.12/0.36     pppp5-{F}(V0,V0) | FALSE
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #37: exists( #2, #35 ), references = 1, size of lhs = 3:
% 0.12/0.36     pppp0-{F}(V0,V1), pppp1-{F}(V1,V2), pppp4-{F}(V1,V3,V2) | FALSE
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #41: disj( #9, exists( #2, #35 ) ), references = 1, size of lhs = 2:
% 0.12/0.36     pppp0-{F}(V0,V1), pppp4-{F}(V1,V2,V3) | pppp7-{T}(V1,V3)
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #48: exists( #2, #46 ), references = 1, size of lhs = 3:
% 0.12/0.36     pppp0-{F}(V0,V1), pppp1-{F}(V1,V2), pppp4-{F}(V0,V3,V2) | FALSE
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #52: exists( #17, #50 ), references = 1, size of lhs = 2:
% 0.12/0.36     pppp5-{F}(V0,V1), pppp1-{F}(V0,V1) | FALSE
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #56: exists( #16, #54 ), references = 1, size of lhs = 1:
% 0.12/0.36     pppp6-{F}(V0) | FALSE
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  #58: exists( #15, #55 ), references = 1, size of lhs = 0:
% 0.12/0.36     FALSE | FALSE
% 0.12/0.36        (used 0 times, uses = {})
% 0.12/0.36  
% 0.12/0.36  number of learnt formulas = 7
% 0.12/0.36  
% 0.12/0.36  
% 0.12/0.36  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.36  
% 0.12/0.36  randbase = 1
%------------------------------------------------------------------------------