TSTP Solution File: SET183+3 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SET183+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n022.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 06:15:58 EDT 2022

% Result   : Theorem 0.18s 0.50s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SET183+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.13  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n022.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 02:30:36 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.18/0.50  GeoParameters:
% 0.18/0.50  
% 0.18/0.50  tptp_input =     1
% 0.18/0.50  tptp_output =    0
% 0.18/0.50  nonempty =       1
% 0.18/0.50  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.50  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.18/0.50  
% 0.18/0.50  
% 0.18/0.50  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.50  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.50  
% 0.18/0.50  RuleSystem INPUT:
% 0.18/0.50  
% 0.18/0.50  Initial Rules:
% 0.18/0.50  #0: input, references = 3, size of lhs = 2:
% 0.18/0.50     P_intersection-{F}(V0,V1,V3), member-{F}(V2,V3) | pppp0-{T}(V2,V0,V1)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #1: input, references = 4, size of lhs = 2:
% 0.18/0.50     P_intersection-{F}(V0,V1,V3), pppp0-{F}(V2,V0,V1) | member-{T}(V2,V3)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #2: input, references = 3, size of lhs = 1:
% 0.18/0.50     pppp0-{F}(V0,V1,V2) | member-{T}(V0,V1)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #3: input, references = 3, size of lhs = 1:
% 0.18/0.50     pppp0-{F}(V0,V1,V2) | member-{T}(V0,V2)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #4: input, references = 4, size of lhs = 2:
% 0.18/0.50     member-{F}(V0,V1), member-{F}(V0,V2) | pppp0-{T}(V0,V1,V2)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #5: input, references = 4, size of lhs = 1:
% 0.18/0.50     P_intersection-{F}(V0,V1,V2) | subset-{T}(V2,V0)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #6: input, references = 5, size of lhs = 1:
% 0.18/0.50     subset-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #7: input, references = 3, size of lhs = 1:
% 0.18/0.50     pppp1-{F}(V0,V1) | subset-{T}(V0,V1)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #8: input, references = 7, size of lhs = 2:
% 0.18/0.50     pppp1-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #9: input, references = 6, size of lhs = 2:
% 0.18/0.50     #-{F} V0, #-{F} V1 | pppp1-{T}(V0,V1), pppp8-{T}(V0,V1)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #10: input, references = 4, size of lhs = 1:
% 0.18/0.50     pppp8-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V2,V0,V1)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #11: input, references = 4, size of lhs = 2:
% 0.18/0.50     pppp4-{F}(V0,V1,V2), member-{F}(V0,V2) | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #12: input, references = 4, size of lhs = 1:
% 0.18/0.50     pppp4-{F}(V0,V1,V2) | member-{T}(V0,V1)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #13: input, references = 3, size of lhs = 1:
% 0.18/0.50     #-{F} V1 | pppp2-{T}(V1,V1)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #14: input, references = 3, size of lhs = 2:
% 0.18/0.50     pppp2-{F}(V0,V1), V0 == V1 | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #15: input, references = 3, size of lhs = 1:
% 0.18/0.50     pppp2-{F}(V0,V1) | subset-{T}(V0,V1)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #16: input, references = 3, size of lhs = 1:
% 0.18/0.50     pppp2-{F}(V0,V1) | subset-{T}(V1,V0)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #17: input, references = 3, size of lhs = 2:
% 0.18/0.50     subset-{F}(V0,V1), subset-{F}(V1,V0) | pppp2-{T}(V0,V1)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #18: input, references = 4, size of lhs = 3:
% 0.18/0.50     P_intersection-{F}(V0,V1,V2), P_intersection-{F}(V1,V0,V3), V2 == V3 | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #19: input, references = 3, size of lhs = 1:
% 0.18/0.50     #-{F} V0 | subset-{T}(V0,V0)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #20: input, references = 3, size of lhs = 1:
% 0.18/0.50     #-{F} V1 | pppp3-{T}(V1,V1)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #21: input, references = 3, size of lhs = 2:
% 0.18/0.50     pppp3-{F}(V0,V1), V0 == V1 | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #22: input, references = 3, size of lhs = 2:
% 0.18/0.50     pppp3-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #23: input, references = 3, size of lhs = 2:
% 0.18/0.50     pppp3-{F}(V0,V1), member-{F}(V2,V1) | member-{T}(V2,V0)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #24: input, references = 4, size of lhs = 2:
% 0.18/0.50     #-{F} V0, #-{F} V1 | pppp3-{T}(V0,V1), pppp9-{T}(V0,V1)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #25: input, references = 4, size of lhs = 1:
% 0.18/0.50     pppp9-{F}(V0,V1) | EXISTS V2: pppp5-{T}(V2,V0,V1)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #26: input, references = 7, size of lhs = 3:
% 0.18/0.50     pppp5-{F}(V0,V1,V2), member-{F}(V0,V2), member-{F}(V0,V1) | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #27: input, references = 5, size of lhs = 1:
% 0.18/0.50     pppp5-{F}(V0,V1,V2) | member-{T}(V0,V1), member-{T}(V0,V2)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #28: input, references = 4, size of lhs = 0:
% 0.18/0.50     FALSE | EXISTS V0: pppp7-{T}(V0)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #29: input, references = 4, size of lhs = 1:
% 0.18/0.50     pppp7-{F}(V0) | EXISTS V1: pppp6-{T}(V0,V1)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #30: input, references = 4, size of lhs = 2:
% 0.18/0.50     pppp6-{F}(V0,V1), P_intersection-{F}(V0,V1,V0) | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #31: input, references = 4, size of lhs = 2:
% 0.18/0.50     pppp6-{F}(V0,V1), P_intersection-{F}(V0,V1,V2) | subset-{T}(V0,V1)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #32: input, references = 6, size of lhs = 2:
% 0.18/0.50     #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection-{T}(V0,V1,V2)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  number of initial rules = 33
% 0.18/0.50  
% 0.18/0.50  Simplifiers:
% 0.18/0.50  #33: unsound, references = 3, size of lhs = 3:
% 0.18/0.50     P_intersection-{F}(V0,V1,V2), P_intersection-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #34: unsound, references = 3, size of lhs = 3:
% 0.18/0.50     pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #35: unsound, references = 3, size of lhs = 3:
% 0.18/0.50     pppp5-{F}(V0,V1,V2), pppp5-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #36: unsound, references = 3, size of lhs = 3:
% 0.18/0.50     pppp6-{F}(V0,V1), pppp6-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #37: unsound, references = 3, size of lhs = 3:
% 0.18/0.50     pppp6-{F}(V0,V1), pppp6-{F}(V2,V3), V0 == V2 | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #38: unsound, references = 3, size of lhs = 3:
% 0.18/0.50     pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  number of simplifiers = 6
% 0.18/0.50  
% 0.18/0.50  Learnt:
% 0.18/0.50  #40: disj( #24, input ), references = 2, size of lhs = 3:
% 0.18/0.50     #-{F} V0, #-{F} V1, V0 == V1 | pppp9-{T}(V0,V1)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #42: exists( #32, #18 ), references = 1, size of lhs = 1:
% 0.18/0.50     P_intersection-{F}(V0,V1,V2) | P_intersection-{T}(V1,V0,V2)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #46: exists( #10, #44 ), references = 2, size of lhs = 2:
% 0.18/0.50     pppp8-{F}(V0,V1), pppp1-{F}(V0,V1) | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #56: disj( #27, #8+#26 ), references = 2, size of lhs = 3:
% 0.18/0.50     pppp1-{F}(V0,V1), pppp5-{F}(V2,V1,V0), pppp5-{F}(V2,V3,V0) | member-{T}(V2,V3)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #65: disj( #27, #8+#26 ), references = 2, size of lhs = 3:
% 0.18/0.50     pppp1-{F}(V0,V1), pppp5-{F}(V2,V0,V1), pppp5-{F}(V2,V0,V3) | member-{T}(V2,V3)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #74: disj( #9, #56+#26 ), references = 1, size of lhs = 4:
% 0.18/0.50     member-{F}(V0,V1), pppp5-{F}(V0,V2,V1), pppp5-{F}(V0,V2,V3), pppp5-{F}(V0,V4,V3) | pppp8-{T}(V3,V4)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #80: exists( #25, #78 ), references = 2, size of lhs = 4:
% 0.18/0.50     pppp9-{F}(V0,V1), pppp1-{F}(V0,V1), pppp1-{F}(V1,V2), P_intersection-{F}(V1,V2,V0) | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #82: disj( #9, exists( #25, #78 ) ), references = 1, size of lhs = 3:
% 0.18/0.50     pppp9-{F}(V0,V1), pppp1-{F}(V0,V1), P_intersection-{F}(V1,V2,V0) | pppp8-{T}(V1,V2)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #91: exists( #32, #89 ), references = 2, size of lhs = 1:
% 0.18/0.50     pppp1-{F}(V0,V1) | P_intersection-{T}(V0,V1,V0)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #123: exists( #32, #120 ), references = 1, size of lhs = 2:
% 0.18/0.50     pppp6-{F}(V0,V1), pppp8-{F}(V0,V1) | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #125: disj( #9, exists( #32, #120 ) ), references = 1, size of lhs = 1:
% 0.18/0.50     pppp6-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #129: exists( #29, #127 ), references = 1, size of lhs = 1:
% 0.18/0.50     pppp7-{F}(V0) | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  #131: exists( #28, #128 ), references = 1, size of lhs = 0:
% 0.18/0.50     FALSE | FALSE
% 0.18/0.50        (used 0 times, uses = {})
% 0.18/0.50  
% 0.18/0.50  number of learnt formulas = 13
% 0.18/0.50  
% 0.18/0.50  
% 0.18/0.50  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.50  
% 0.18/0.50  randbase = 1
%------------------------------------------------------------------------------