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

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%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SET579+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n028.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 06:16:22 EDT 2022

% Result   : Theorem 2.60s 2.76s
% Output   : Refutation 2.60s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET579+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n028.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 02:53:13 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 2.60/2.76  GeoParameters:
% 2.60/2.76  
% 2.60/2.76  tptp_input =     1
% 2.60/2.76  tptp_output =    0
% 2.60/2.76  nonempty =       1
% 2.60/2.76  inputfile =      /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.60/2.76  includepath =    /export/starexec/sandbox/solver/bin/../../benchmark/
% 2.60/2.76  
% 2.60/2.76  
% 2.60/2.76  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.60/2.76  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.60/2.76  
% 2.60/2.76  RuleSystem INPUT:
% 2.60/2.76  
% 2.60/2.76  Initial Rules:
% 2.60/2.76  #0: input, references = 10, size of lhs = 2:
% 2.60/2.76     P_difference-{F}(V0,V1,V3), member-{F}(V2,V3) | pppp0-{T}(V2,V0,V1)
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #1: input, references = 8, size of lhs = 2:
% 2.60/2.76     P_difference-{F}(V0,V1,V3), pppp0-{F}(V2,V0,V1) | member-{T}(V2,V3)
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #2: input, references = 5, size of lhs = 1:
% 2.60/2.76     pppp0-{F}(V0,V1,V2) | member-{T}(V0,V1)
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #3: input, references = 12, size of lhs = 2:
% 2.60/2.76     pppp0-{F}(V0,V1,V2), member-{F}(V0,V2) | FALSE
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #4: input, references = 5, size of lhs = 2:
% 2.60/2.76     #-{F} V2, member-{F}(V0,V1) | pppp0-{T}(V0,V1,V2), member-{T}(V0,V2)
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #5: input, references = 3, size of lhs = 1:
% 2.60/2.76     #-{F} V1 | pppp1-{T}(V1,V1)
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #6: input, references = 4, size of lhs = 2:
% 2.60/2.76     pppp1-{F}(V0,V1), V0 == V1 | FALSE
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #7: input, references = 3, size of lhs = 1:
% 2.60/2.76     pppp1-{F}(V0,V1) | subset-{T}(V0,V1)
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #8: input, references = 3, size of lhs = 1:
% 2.60/2.76     pppp1-{F}(V0,V1) | subset-{T}(V1,V0)
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #9: input, references = 4, size of lhs = 2:
% 2.60/2.76     subset-{F}(V0,V1), subset-{F}(V1,V0) | pppp1-{T}(V0,V1)
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #10: input, references = 3, size of lhs = 1:
% 2.60/2.76     subset-{F}(V0,V1) | pppp2-{T}(V0,V1)
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #11: input, references = 11, size of lhs = 1:
% 2.60/2.76     pppp2-{F}(V0,V1) | subset-{T}(V0,V1)
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #12: input, references = 10, size of lhs = 2:
% 2.60/2.76     pppp2-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #13: input, references = 15, size of lhs = 2:
% 2.60/2.76     #-{F} V0, #-{F} V1 | pppp2-{T}(V0,V1), pppp8-{T}(V0,V1)
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #14: input, references = 13, size of lhs = 1:
% 2.60/2.76     pppp8-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V2,V0,V1)
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #15: input, references = 5, size of lhs = 2:
% 2.60/2.76     pppp4-{F}(V0,V1,V2), member-{F}(V0,V2) | FALSE
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #16: input, references = 15, size of lhs = 1:
% 2.60/2.76     pppp4-{F}(V0,V1,V2) | member-{T}(V0,V1)
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #17: input, references = 3, size of lhs = 1:
% 2.60/2.76     #-{F} V0 | subset-{T}(V0,V0)
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #18: input, references = 4, size of lhs = 0:
% 2.60/2.76     FALSE | EXISTS V0: pppp7-{T}(V0)
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #19: input, references = 5, size of lhs = 1:
% 2.60/2.76     pppp7-{F}(V0) | EXISTS V1: pppp6-{T}(V0,V1)
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #20: input, references = 8, size of lhs = 1:
% 2.60/2.76     pppp6-{F}(V0,V1) | EXISTS V2: pppp5-{T}(V2,V0,V1)
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #21: input, references = 7, size of lhs = 2:
% 2.60/2.76     pppp5-{F}(V0,V3,V2), P_difference-{F}(V2,V0,V3) | FALSE
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #22: input, references = 6, size of lhs = 3:
% 2.60/2.76     pppp5-{F}(V0,V1,V2), P_difference-{F}(V2,V0,V3), pppp3-{F}(V0,V2,V4) | member-{T}(V4,V1)
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #23: input, references = 5, size of lhs = 3:
% 2.60/2.76     pppp5-{F}(V0,V1,V2), P_difference-{F}(V2,V0,V3), member-{F}(V4,V1) | pppp3-{T}(V0,V2,V4)
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #24: input, references = 4, size of lhs = 1:
% 2.60/2.76     pppp3-{F}(V0,V1,V2) | member-{T}(V2,V1)
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #25: input, references = 4, size of lhs = 2:
% 2.60/2.76     pppp3-{F}(V0,V1,V2), member-{F}(V2,V0) | FALSE
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #26: input, references = 5, size of lhs = 2:
% 2.60/2.76     #-{F} V0, member-{F}(V2,V1) | pppp3-{T}(V0,V1,V2), member-{T}(V2,V0)
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #27: input, references = 15, size of lhs = 2:
% 2.60/2.76     #-{F} V0, #-{F} V1 | EXISTS V2: P_difference-{T}(V0,V1,V2)
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  number of initial rules = 28
% 2.60/2.76  
% 2.60/2.76  Simplifiers:
% 2.60/2.76  #28: unsound, references = 3, size of lhs = 3:
% 2.60/2.76     P_difference-{F}(V0,V1,V2), P_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #29: unsound, references = 3, size of lhs = 3:
% 2.60/2.76     pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V1,V2), V0 == V3 | FALSE
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #30: unsound, references = 3, size of lhs = 3:
% 2.60/2.76     pppp5-{F}(V0,V1,V2), pppp5-{F}(V3,V1,V2), V0 == V3 | FALSE
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #31: unsound, references = 3, size of lhs = 3:
% 2.60/2.76     pppp5-{F}(V0,V1,V2), pppp5-{F}(V3,V1,V5), V2 == V5 | FALSE
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #32: unsound, references = 3, size of lhs = 3:
% 2.60/2.76     pppp5-{F}(V0,V1,V2), pppp5-{F}(V3,V4,V5), V1 == V4 | FALSE
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #33: unsound, references = 3, size of lhs = 3:
% 2.60/2.76     pppp6-{F}(V0,V1), pppp6-{F}(V0,V3), V1 == V3 | FALSE
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #34: unsound, references = 3, size of lhs = 3:
% 2.60/2.76     pppp6-{F}(V0,V1), pppp6-{F}(V2,V3), V0 == V2 | FALSE
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #35: unsound, references = 3, size of lhs = 3:
% 2.60/2.76     pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  number of simplifiers = 8
% 2.60/2.76  
% 2.60/2.76  Learnt:
% 2.60/2.76  #39: disj( #13, #11+#9+#6 ), references = 6, size of lhs = 2:
% 2.60/2.76     subset-{F}(V0,V1), V1 == V0 | pppp8-{T}(V1,V0)
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #48: exists( #14, #44 ), references = 2, size of lhs = 2:
% 2.60/2.76     P_difference-{F}(V0,V0,V1), pppp8-{F}(V1,V2) | FALSE
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #49: exists( #14, #45 ), references = 1, size of lhs = 2:
% 2.60/2.76     pppp8-{F}(V0,V1), P_difference-{F}(V1,V2,V0) | FALSE
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #56: disj( #13, #11+#38+#47 ), references = 4, size of lhs = 2:
% 2.60/2.76     P_difference-{F}(V0,V1,V2), V2 == V0 | pppp8-{T}(V0,V2)
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #57: disj( #13, #11+#38+#46 ), references = 4, size of lhs = 3:
% 2.60/2.76     P_difference-{F}(V0,V0,V1), #-{F} V2, V1 == V2 | pppp8-{T}(V2,V1)
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #60: disj( #13, exists( #14, #45 ) ), references = 9, size of lhs = 1:
% 2.60/2.76     P_difference-{F}(V0,V1,V2) | pppp2-{T}(V2,V0)
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #61: disj( #13, exists( #14, #44 ) ), references = 2, size of lhs = 2:
% 2.60/2.76     P_difference-{F}(V0,V0,V1), #-{F} V2 | pppp2-{T}(V1,V2)
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #63: disj( #4, input ), references = 8, size of lhs = 2:
% 2.60/2.76     member-{F}(V0,V1), pppp4-{F}(V0,V2,V3) | pppp0-{T}(V0,V1,V3)
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #72: exists( #14, #68 ), references = 1, size of lhs = 2:
% 2.60/2.76     pppp8-{F}(V0,V1), P_difference-{F}(V0,V1,V1) | FALSE
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #76: disj( #26, input ), references = 2, size of lhs = 2:
% 2.60/2.76     member-{F}(V0,V1), pppp0-{F}(V0,V2,V3) | pppp3-{T}(V3,V1,V0)
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #77: disj( #26, input ), references = 2, size of lhs = 2:
% 2.60/2.76     member-{F}(V0,V1), pppp4-{F}(V0,V2,V3) | pppp3-{T}(V3,V1,V0)
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #80: exists( #27, #78 ), references = 2, size of lhs = 2:
% 2.60/2.76     P_difference-{F}(V0,V0,V1), #-{F} V2 | P_difference-{T}(V1,V2,V1)
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #83: exists( #20, #81 ), references = 1, size of lhs = 2:
% 2.60/2.76     pppp6-{F}(V0,V0), P_difference-{F}(V1,V1,V0) | FALSE
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #90: exists( #27, #84 ), references = 3, size of lhs = 3:
% 2.60/2.76     pppp5-{F}(V0,V1,V2), pppp3-{F}(V0,V2,V3), pppp0-{F}(V3,V4,V1) | FALSE
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #91: exists( #27, #85 ), references = 1, size of lhs = 3:
% 2.60/2.76     pppp5-{F}(V0,V1,V2), pppp3-{F}(V0,V2,V3), pppp4-{F}(V3,V4,V1) | FALSE
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #92: exists( #27, #86 ), references = 1, size of lhs = 3:
% 2.60/2.76     pppp5-{F}(V0,V1,V2), pppp3-{F}(V0,V2,V3), pppp3-{F}(V1,V4,V3) | FALSE
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #109: exists( #14, #103 ), references = 2, size of lhs = 3:
% 2.60/2.76     pppp8-{F}(V0,V1), P_difference-{F}(V0,V1,V2), pppp2-{F}(V2,V1) | FALSE
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #117: disj( #13, exists( #14, #103 ) ), references = 1, size of lhs = 2:
% 2.60/2.76     pppp8-{F}(V0,V1), P_difference-{F}(V0,V1,V2) | pppp8-{T}(V2,V1)
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #121: disj( #4, input ), references = 4, size of lhs = 2:
% 2.60/2.76     member-{F}(V0,V1), pppp0-{F}(V0,V2,V3) | pppp0-{T}(V0,V1,V3)
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #122: disj( #4, input ), references = 2, size of lhs = 2:
% 2.60/2.76     member-{F}(V0,V1), pppp3-{F}(V2,V3,V0) | pppp0-{T}(V0,V1,V2)
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #139: exists( #14, #135 ), references = 2, size of lhs = 4:
% 2.60/2.76     pppp8-{F}(V0,V1), pppp2-{F}(V0,V2), P_difference-{F}(V2,V1,V3), P_difference-{F}(V4,V3,V0) | FALSE
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #146: exists( #27, #142 ), references = 2, size of lhs = 2:
% 2.60/2.76     P_difference-{F}(V0,V0,V1), P_difference-{F}(V2,V1,V3) | P_difference-{T}(V2,V3,V1)
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #153: exists( #27, #151 ), references = 2, size of lhs = 3:
% 2.60/2.76     P_difference-{F}(V0,V0,V1), P_difference-{F}(V2,V2,V1), #-{F} V3 | P_difference-{T}(V3,V1,V3)
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #159: exists( #14, #157 ), references = 1, size of lhs = 3:
% 2.60/2.76     pppp8-{F}(V0,V1), pppp5-{F}(V1,V2,V0), P_difference-{F}(V3,V2,V0) | FALSE
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #163: disj( #13, #11+#39+#158 ), references = 1, size of lhs = 3:
% 2.60/2.76     pppp5-{F}(V0,V1,V2), V2 == V0, P_difference-{F}(V3,V1,V2) | pppp8-{T}(V0,V2)
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #165: disj( #13, exists( #14, #157 ) ), references = 1, size of lhs = 2:
% 2.60/2.76     pppp5-{F}(V0,V1,V2), P_difference-{F}(V3,V1,V2) | pppp2-{T}(V2,V0)
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #175: disj( #13, #12+#0+#3 ), references = 2, size of lhs = 3:
% 2.60/2.76     member-{F}(V0,V1), member-{F}(V0,V2), P_difference-{F}(V3,V2,V4) | pppp8-{T}(V1,V4)
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #183: disj( #13, exists( #14, #135 ) ), references = 1, size of lhs = 3:
% 2.60/2.76     pppp8-{F}(V0,V1), P_difference-{F}(V2,V1,V3), P_difference-{F}(V4,V3,V0) | pppp8-{T}(V0,V2)
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #208: exists( #14, #202 ), references = 1, size of lhs = 4:
% 2.60/2.76     pppp8-{F}(V0,V1), pppp2-{F}(V0,V2), pppp2-{F}(V2,V3), P_difference-{F}(V4,V3,V0) | FALSE
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #209: exists( #14, #204 ), references = 1, size of lhs = 4:
% 2.60/2.76     pppp8-{F}(V0,V1), pppp2-{F}(V0,V2), pppp5-{F}(V3,V1,V2), P_difference-{F}(V4,V3,V0) | FALSE
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #219: exists( #27, #213 ), references = 4, size of lhs = 2:
% 2.60/2.76     P_difference-{F}(V0,V0,V1), pppp2-{F}(V2,V3) | P_difference-{T}(V2,V3,V1)
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #220: exists( #27, #215 ), references = 1, size of lhs = 2:
% 2.60/2.76     P_difference-{F}(V0,V0,V1), pppp5-{F}(V2,V1,V3) | P_difference-{T}(V3,V2,V1)
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #224: exists( #20, #222 ), references = 1, size of lhs = 3:
% 2.60/2.76     P_difference-{F}(V0,V0,V1), pppp6-{F}(V1,V2), P_difference-{F}(V3,V1,V2) | FALSE
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #227: exists( #19, #225 ), references = 1, size of lhs = 4:
% 2.60/2.76     pppp7-{F}(V0), P_difference-{F}(V1,V1,V0), P_difference-{F}(V2,V2,V0), P_difference-{F}(V3,V3,V0) | FALSE
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #250: exists( #14, #244 ), references = 5, size of lhs = 4:
% 2.60/2.76     pppp8-{F}(V0,V1), P_difference-{F}(V0,V2,V1), pppp5-{F}(V2,V0,V3), P_difference-{F}(V3,V2,V4) | FALSE
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #255: exists( #27, #253 ), references = 2, size of lhs = 4:
% 2.60/2.76     member-{F}(V0,V1), pppp0-{F}(V0,V2,V3), P_difference-{F}(V2,V4,V3), P_difference-{F}(V5,V1,V4) | FALSE
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #259: exists( #14, #257 ), references = 1, size of lhs = 3:
% 2.60/2.76     pppp8-{F}(V0,V1), P_difference-{F}(V0,V2,V1), P_difference-{F}(V3,V0,V2) | FALSE
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #262: exists( #27, #260 ), references = 4, size of lhs = 1:
% 2.60/2.76     P_difference-{F}(V0,V1,V2) | P_difference-{T}(V1,V2,V1)
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #268: disj( #13, #219+#250 ), references = 1, size of lhs = 3:
% 2.60/2.76     P_difference-{F}(V0,V0,V1), pppp8-{F}(V2,V1), pppp5-{F}(V3,V2,V2) | pppp8-{T}(V2,V3)
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #273: exists( #27, #271 ), references = 1, size of lhs = 1:
% 2.60/2.76     pppp5-{F}(V0,V1,V1) | P_difference-{T}(V1,V0,V1)
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #276: exists( #20, #274 ), references = 1, size of lhs = 1:
% 2.60/2.76     pppp6-{F}(V0,V0) | FALSE
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #291: exists( #14, #285 ), references = 1, size of lhs = 3:
% 2.60/2.76     pppp8-{F}(V0,V1), pppp5-{F}(V2,V0,V1), P_difference-{F}(V1,V2,V3) | FALSE
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #295: exists( #27, #288 ), references = 1, size of lhs = 2:
% 2.60/2.76     pppp8-{F}(V0,V1), pppp5-{F}(V2,V0,V1) | FALSE
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #299: exists( #20, #292 ), references = 1, size of lhs = 2:
% 2.60/2.76     pppp6-{F}(V0,V1), pppp8-{F}(V0,V1) | FALSE
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #303: disj( #13, exists( #20, #292 ) ), references = 1, size of lhs = 1:
% 2.60/2.76     pppp6-{F}(V0,V1) | pppp2-{T}(V0,V1)
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #309: disj( #13, exists( #14, #135 ) ), references = 2, size of lhs = 3:
% 2.60/2.76     pppp2-{F}(V0,V1), P_difference-{F}(V1,V2,V3), P_difference-{F}(V4,V3,V0) | pppp2-{T}(V0,V2)
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #310: disj( #13, exists( #14, #204 ) ), references = 2, size of lhs = 3:
% 2.60/2.76     pppp2-{F}(V0,V1), pppp5-{F}(V2,V3,V1), P_difference-{F}(V4,V2,V0) | pppp2-{T}(V0,V3)
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #318: exists( #14, #316 ), references = 2, size of lhs = 4:
% 2.60/2.76     pppp8-{F}(V0,V1), pppp2-{F}(V0,V2), P_difference-{F}(V2,V3,V1), P_difference-{F}(V4,V0,V3) | FALSE
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #324: exists( #27, #322 ), references = 1, size of lhs = 3:
% 2.60/2.76     pppp2-{F}(V0,V1), P_difference-{F}(V1,V0,V2), P_difference-{F}(V3,V0,V2) | P_difference-{T}(V1,V2,V0)
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #329: disj( #13, #219+#309+#219+#250 ), references = 1, size of lhs = 6:
% 2.60/2.76     P_difference-{F}(V0,V0,V1), P_difference-{F}(V2,V2,V3), pppp8-{F}(V4,V3), pppp2-{F}(V4,V5), pppp5-{F}(V6,V4,V5), P_difference-{F}(V7,V1,V4) | pppp8-{T}(V5,V6)
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #332: disj( #26, exists( #27, #253 ) ), references = 1, size of lhs = 4:
% 2.60/2.76     member-{F}(V0,V1), pppp0-{F}(V0,V2,V3), P_difference-{F}(V2,V4,V3), P_difference-{F}(V5,V6,V4) | pppp3-{T}(V6,V1,V0)
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #341: exists( #27, #339 ), references = 1, size of lhs = 2:
% 2.60/2.76     pppp5-{F}(V0,V1,V2), P_difference-{F}(V2,V0,V3) | P_difference-{T}(V1,V0,V1)
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #351: exists( #27, #349 ), references = 1, size of lhs = 2:
% 2.60/2.76     pppp2-{F}(V0,V1), pppp5-{F}(V2,V0,V1) | P_difference-{T}(V1,V2,V0)
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #354: exists( #20, #352 ), references = 1, size of lhs = 2:
% 2.60/2.76     pppp6-{F}(V0,V1), pppp2-{F}(V0,V1) | FALSE
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #357: exists( #19, #355 ), references = 1, size of lhs = 1:
% 2.60/2.76     pppp7-{F}(V0) | FALSE
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  #359: exists( #18, #356 ), references = 1, size of lhs = 0:
% 2.60/2.76     FALSE | FALSE
% 2.60/2.76        (used 0 times, uses = {})
% 2.60/2.76  
% 2.60/2.76  number of learnt formulas = 56
% 2.60/2.76  
% 2.60/2.76  
% 2.60/2.76  % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.60/2.76  
% 2.60/2.76  randbase = 1
%------------------------------------------------------------------------------