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Geo-III---2018C.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SET599+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n025.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 06:16:25 EDT 2022

% Result   : Theorem 0.18s 0.43s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SET599+3 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n025.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 02:36:42 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.43  GeoParameters:
% 0.18/0.43  
% 0.18/0.43  tptp_input =     1
% 0.18/0.43  tptp_output =    0
% 0.18/0.43  nonempty =       1
% 0.18/0.43  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.43  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.18/0.43  
% 0.18/0.43  
% 0.18/0.43  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.43  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.43  
% 0.18/0.43  RuleSystem INPUT:
% 0.18/0.43  
% 0.18/0.43  Initial Rules:
% 0.18/0.43  #0: input, references = 4, size of lhs = 5:
% 0.18/0.43     P_symmetric_difference-{F}(V0,V1,V2), P_difference-{F}(V0,V1,V3), P_difference-{F}(V1,V0,V4), P_union-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #1: input, references = 5, size of lhs = 1:
% 0.18/0.43     P_union-{F}(V0,V1,V2) | subset-{T}(V0,V2)
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #2: input, references = 6, size of lhs = 2:
% 0.18/0.43     P_difference-{F}(V0,V1,V3), member-{F}(V2,V3) | pppp0-{T}(V0,V1,V2)
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #3: input, references = 3, size of lhs = 2:
% 0.18/0.43     P_difference-{F}(V0,V1,V3), pppp0-{F}(V0,V1,V2) | member-{T}(V2,V3)
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #4: input, references = 5, size of lhs = 1:
% 0.18/0.43     pppp0-{F}(V0,V1,V2) | member-{T}(V2,V0)
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #5: input, references = 5, size of lhs = 2:
% 0.18/0.43     pppp0-{F}(V0,V1,V2), member-{F}(V2,V1) | FALSE
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #6: input, references = 3, size of lhs = 2:
% 0.18/0.43     #-{F} V1, member-{F}(V2,V0) | pppp0-{T}(V0,V1,V2), member-{T}(V2,V1)
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #7: input, references = 3, size of lhs = 1:
% 0.18/0.43     subset-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #8: input, references = 3, size of lhs = 1:
% 0.18/0.43     pppp1-{F}(V0,V1) | subset-{T}(V0,V1)
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #9: input, references = 6, size of lhs = 2:
% 0.18/0.43     pppp1-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #10: input, references = 4, size of lhs = 2:
% 0.18/0.43     #-{F} V0, #-{F} V1 | pppp1-{T}(V0,V1), pppp7-{T}(V0,V1)
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #11: input, references = 3, size of lhs = 1:
% 0.18/0.43     pppp7-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V0,V1,V2)
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #12: input, references = 3, size of lhs = 2:
% 0.18/0.43     pppp3-{F}(V0,V1,V2), member-{F}(V2,V1) | FALSE
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #13: input, references = 3, size of lhs = 1:
% 0.18/0.43     pppp3-{F}(V0,V1,V2) | member-{T}(V2,V0)
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #14: input, references = 4, size of lhs = 3:
% 0.18/0.43     P_union-{F}(V0,V1,V2), P_union-{F}(V1,V0,V3), V2 == V3 | FALSE
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #15: input, references = 4, size of lhs = 3:
% 0.18/0.43     P_symmetric_difference-{F}(V0,V1,V2), P_symmetric_difference-{F}(V1,V0,V3), V2 == V3 | FALSE
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #16: input, references = 3, size of lhs = 1:
% 0.18/0.43     #-{F} V1 | pppp2-{T}(V1,V1)
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #17: input, references = 3, size of lhs = 2:
% 0.18/0.43     pppp2-{F}(V0,V1), V0 == V1 | FALSE
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #18: input, references = 3, size of lhs = 2:
% 0.18/0.43     pppp2-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #19: input, references = 3, size of lhs = 2:
% 0.18/0.43     pppp2-{F}(V0,V1), member-{F}(V2,V1) | member-{T}(V2,V0)
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #20: input, references = 4, size of lhs = 2:
% 0.18/0.43     #-{F} V0, #-{F} V1 | pppp2-{T}(V0,V1), pppp8-{T}(V0,V1)
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #21: input, references = 4, size of lhs = 1:
% 0.18/0.43     pppp8-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V0,V1,V2)
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #22: input, references = 6, size of lhs = 3:
% 0.18/0.43     pppp4-{F}(V0,V1,V2), member-{F}(V2,V1), member-{F}(V2,V0) | FALSE
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #23: input, references = 4, size of lhs = 1:
% 0.18/0.43     pppp4-{F}(V0,V1,V2) | member-{T}(V2,V0), member-{T}(V2,V1)
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #24: input, references = 3, size of lhs = 1:
% 0.18/0.43     #-{F} V0 | subset-{T}(V0,V0)
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #25: input, references = 4, size of lhs = 0:
% 0.18/0.43     FALSE | EXISTS V0: pppp6-{T}(V0)
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #26: input, references = 4, size of lhs = 1:
% 0.18/0.43     pppp6-{F}(V0) | EXISTS V1: pppp5-{T}(V0,V1)
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #27: input, references = 5, size of lhs = 4:
% 0.18/0.43     pppp5-{F}(V0,V1), P_difference-{F}(V0,V1,V2), P_symmetric_difference-{F}(V0,V1,V3), subset-{F}(V2,V3) | FALSE
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #28: input, references = 6, size of lhs = 2:
% 0.18/0.43     #-{F} V0, #-{F} V1 | EXISTS V2: P_symmetric_difference-{T}(V0,V1,V2)
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #29: input, references = 5, size of lhs = 2:
% 0.18/0.43     #-{F} V0, #-{F} V1 | EXISTS V2: P_union-{T}(V0,V1,V2)
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #30: input, references = 6, size of lhs = 2:
% 0.18/0.43     #-{F} V0, #-{F} V1 | EXISTS V2: P_difference-{T}(V0,V1,V2)
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  number of initial rules = 31
% 0.18/0.43  
% 0.18/0.43  Simplifiers:
% 0.18/0.43  #31: unsound, references = 3, size of lhs = 3:
% 0.18/0.43     P_symmetric_difference-{F}(V0,V1,V2), P_symmetric_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #32: unsound, references = 3, size of lhs = 3:
% 0.18/0.43     P_union-{F}(V0,V1,V2), P_union-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.43        (used 0 times, uses = {})
% 0.18/0.43  
% 0.18/0.43  #33: unsound, references = 3, size of lhs = 3:
% 0.18/0.43     P_difference-{F}(V0,V1,V2), P_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #34: unsound, references = 3, size of lhs = 3:
% 0.18/0.44     pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #35: unsound, references = 3, size of lhs = 3:
% 0.18/0.44     pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #36: unsound, references = 3, size of lhs = 3:
% 0.18/0.44     pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #37: unsound, references = 3, size of lhs = 3:
% 0.18/0.44     pppp5-{F}(V0,V1), pppp5-{F}(V2,V3), V0 == V2 | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #38: unsound, references = 3, size of lhs = 3:
% 0.18/0.44     pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  number of simplifiers = 8
% 0.18/0.44  
% 0.18/0.44  Learnt:
% 0.18/0.44  #40: disj( #20, input ), references = 1, size of lhs = 3:
% 0.18/0.44     #-{F} V0, #-{F} V1, V0 == V1 | pppp8-{T}(V0,V1)
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #42: exists( #29, #14 ), references = 2, size of lhs = 1:
% 0.18/0.44     P_union-{F}(V0,V1,V2) | P_union-{T}(V1,V0,V2)
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #44: exists( #29, #0 ), references = 3, size of lhs = 3:
% 0.18/0.44     P_symmetric_difference-{F}(V0,V1,V2), P_difference-{F}(V0,V1,V3), P_difference-{F}(V1,V0,V4) | P_union-{T}(V3,V4,V2)
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #50: disj( #23, #9+#22 ), references = 3, size of lhs = 3:
% 0.18/0.44     pppp1-{F}(V0,V1), pppp4-{F}(V1,V0,V2), pppp4-{F}(V3,V0,V2) | member-{T}(V2,V3)
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #51: disj( #23, #2+#9+#5 ), references = 1, size of lhs = 3:
% 0.18/0.44     pppp1-{F}(V0,V1), P_difference-{F}(V2,V1,V0), pppp4-{F}(V3,V0,V4) | member-{T}(V4,V3)
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #55: disj( #10, #48+#9+#22 ), references = 1, size of lhs = 4:
% 0.18/0.44     pppp1-{F}(V0,V1), pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V3,V2), pppp4-{F}(V4,V3,V2) | pppp7-{T}(V3,V4)
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #64: exists( #21, #60 ), references = 1, size of lhs = 3:
% 0.18/0.44     P_difference-{F}(V0,V0,V1), pppp8-{F}(V1,V2), pppp1-{F}(V2,V1) | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #65: exists( #21, #61 ), references = 1, size of lhs = 3:
% 0.18/0.44     pppp1-{F}(V0,V1), pppp8-{F}(V1,V0), P_difference-{F}(V0,V2,V1) | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #69: exists( #28, #15 ), references = 2, size of lhs = 1:
% 0.18/0.44     P_symmetric_difference-{F}(V0,V1,V2) | P_symmetric_difference-{T}(V1,V0,V2)
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #77: exists( #30, #75 ), references = 1, size of lhs = 2:
% 0.18/0.44     pppp5-{F}(V0,V0), P_symmetric_difference-{F}(V0,V0,V1) | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #79: exists( #28, #76 ), references = 1, size of lhs = 1:
% 0.18/0.44     pppp5-{F}(V0,V0) | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #84: exists( #30, #82 ), references = 1, size of lhs = 4:
% 0.18/0.44     pppp5-{F}(V0,V1), P_symmetric_difference-{F}(V0,V1,V2), P_symmetric_difference-{F}(V1,V0,V2), P_difference-{F}(V1,V0,V3) | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #86: exists( #30, #83 ), references = 1, size of lhs = 3:
% 0.18/0.44     pppp5-{F}(V0,V1), P_symmetric_difference-{F}(V0,V1,V2), P_symmetric_difference-{F}(V1,V0,V2) | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #89: exists( #28, #87 ), references = 1, size of lhs = 1:
% 0.18/0.44     pppp5-{F}(V0,V1) | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #91: exists( #26, #88 ), references = 1, size of lhs = 1:
% 0.18/0.44     pppp6-{F}(V0) | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #93: exists( #25, #90 ), references = 1, size of lhs = 0:
% 0.18/0.44     FALSE | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  number of learnt formulas = 16
% 0.18/0.44  
% 0.18/0.44  
% 0.18/0.44  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44  
% 0.18/0.44  randbase = 1
%------------------------------------------------------------------------------