↑ Up

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

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : SET581+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n004.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 0.57s 0.76s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET581+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 : n004.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 01:20:06 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.57/0.76  GeoParameters:
% 0.57/0.76  
% 0.57/0.76  tptp_input =     1
% 0.57/0.76  tptp_output =    0
% 0.57/0.76  nonempty =       1
% 0.57/0.76  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.57/0.76  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.57/0.76  
% 0.57/0.76  
% 0.57/0.76  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.57/0.76  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.57/0.76  
% 0.57/0.76  RuleSystem INPUT:
% 0.57/0.76  
% 0.57/0.76  Initial Rules:
% 0.57/0.76  #0: input, references = 6, size of lhs = 2:
% 0.57/0.76     P_intersection-{F}(V0,V1,V3), member-{F}(V2,V3) | pppp0-{T}(V2,V0,V1)
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #1: input, references = 9, size of lhs = 2:
% 0.57/0.76     P_intersection-{F}(V0,V1,V3), pppp0-{F}(V2,V0,V1) | member-{T}(V2,V3)
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #2: input, references = 4, size of lhs = 1:
% 0.57/0.76     pppp0-{F}(V0,V1,V2) | member-{T}(V0,V1)
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #3: input, references = 5, size of lhs = 1:
% 0.57/0.76     pppp0-{F}(V0,V1,V2) | member-{T}(V0,V2)
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #4: input, references = 9, size of lhs = 2:
% 0.57/0.76     member-{F}(V0,V1), member-{F}(V0,V2) | pppp0-{T}(V0,V1,V2)
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #5: input, references = 8, size of lhs = 2:
% 0.57/0.76     P_empty_set-{F}(V0), member-{F}(V1,V0) | FALSE
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #6: input, references = 3, size of lhs = 2:
% 0.57/0.76     P_empty_set-{F}(V0), #-{F} V2 | pppp1-{T}(V2,V2)
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #7: input, references = 3, size of lhs = 3:
% 0.57/0.76     P_empty_set-{F}(V0), pppp1-{F}(V1,V2), V1 == V2 | FALSE
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #8: input, references = 3, size of lhs = 3:
% 0.57/0.76     P_empty_set-{F}(V0), pppp1-{F}(V1,V2), member-{F}(V3,V1) | member-{T}(V3,V2)
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #9: input, references = 3, size of lhs = 3:
% 0.57/0.76     P_empty_set-{F}(V0), pppp1-{F}(V1,V2), member-{F}(V3,V2) | member-{T}(V3,V1)
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #10: input, references = 4, size of lhs = 3:
% 0.57/0.76     P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | pppp1-{T}(V1,V2), pppp8-{T}(V1,V2)
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #11: input, references = 5, size of lhs = 1:
% 0.57/0.76     pppp8-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V2,V0,V1)
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #12: input, references = 7, size of lhs = 3:
% 0.57/0.76     pppp3-{F}(V0,V1,V2), member-{F}(V0,V2), member-{F}(V0,V1) | FALSE
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #13: input, references = 7, size of lhs = 1:
% 0.57/0.76     pppp3-{F}(V0,V1,V2) | member-{T}(V0,V1), member-{T}(V0,V2)
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #14: input, references = 3, size of lhs = 2:
% 0.57/0.76     P_empty_set-{F}(V0), not_equal-{F}(V2,V2) | FALSE
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #15: input, references = 4, size of lhs = 4:
% 0.57/0.76     P_empty_set-{F}(V0), #-{F} V1, #-{F} V2, V1 == V2 | not_equal-{T}(V1,V2)
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #16: input, references = 4, size of lhs = 4:
% 0.57/0.76     P_empty_set-{F}(V0), P_intersection-{F}(V1,V2,V3), P_intersection-{F}(V2,V1,V4), V3 == V4 | FALSE
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #17: input, references = 3, size of lhs = 2:
% 0.57/0.76     P_empty_set-{F}(V0), empty-{F}(V1) | pppp2-{T}(V1)
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #18: input, references = 3, size of lhs = 2:
% 0.57/0.76     P_empty_set-{F}(V0), pppp2-{F}(V1) | empty-{T}(V1)
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #19: input, references = 8, size of lhs = 3:
% 0.57/0.76     P_empty_set-{F}(V0), pppp2-{F}(V1), member-{F}(V2,V1) | FALSE
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #20: input, references = 6, size of lhs = 2:
% 0.57/0.76     P_empty_set-{F}(V0), #-{F} V1 | pppp2-{T}(V1), pppp9-{T}(V1)
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #21: input, references = 5, size of lhs = 1:
% 0.57/0.76     pppp9-{F}(V0) | EXISTS V1: pppp4-{T}(V0,V1)
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #22: input, references = 6, size of lhs = 1:
% 0.57/0.76     pppp4-{F}(V0,V1) | member-{T}(V1,V0)
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #23: input, references = 4, size of lhs = 1:
% 0.57/0.76     P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V0,V1)
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #24: input, references = 5, size of lhs = 1:
% 0.57/0.76     pppp7-{F}(V0,V1) | EXISTS V2: pppp6-{T}(V2,V1,V0)
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #25: input, references = 6, size of lhs = 2:
% 0.57/0.76     pppp6-{F}(V0,V1,V2), P_intersection-{F}(V1,V0,V3) | EXISTS V4: pppp5-{T}(V0,V4,V1)
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #26: input, references = 4, size of lhs = 3:
% 0.57/0.76     pppp6-{F}(V0,V1,V2), P_intersection-{F}(V1,V0,V3), not_equal-{F}(V3,V2) | FALSE
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #27: input, references = 7, size of lhs = 1:
% 0.57/0.76     pppp5-{F}(V0,V1,V2) | member-{T}(V1,V0)
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #28: input, references = 7, size of lhs = 1:
% 0.57/0.76     pppp5-{F}(V0,V1,V2) | member-{T}(V1,V2)
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #29: input, references = 7, size of lhs = 2:
% 0.57/0.76     #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection-{T}(V0,V1,V2)
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #30: input, references = 4, size of lhs = 0:
% 0.57/0.76     FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  number of initial rules = 31
% 0.57/0.76  
% 0.57/0.76  Simplifiers:
% 0.57/0.76  #31: unsound, references = 3, size of lhs = 3:
% 0.57/0.76     P_intersection-{F}(V0,V1,V2), P_intersection-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #32: unsound, references = 3, size of lhs = 3:
% 0.57/0.76     P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #33: unsound, references = 3, size of lhs = 3:
% 0.57/0.76     pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #34: unsound, references = 3, size of lhs = 3:
% 0.57/0.76     pppp4-{F}(V0,V1), pppp4-{F}(V0,V3), V1 == V3 | FALSE
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #35: unsound, references = 3, size of lhs = 3:
% 0.57/0.76     pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #36: unsound, references = 3, size of lhs = 3:
% 0.57/0.76     pppp6-{F}(V0,V1,V2), pppp6-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #37: unsound, references = 3, size of lhs = 3:
% 0.57/0.76     pppp6-{F}(V0,V1,V2), pppp6-{F}(V3,V4,V2), V1 == V4 | FALSE
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #38: unsound, references = 3, size of lhs = 3:
% 0.57/0.76     pppp6-{F}(V0,V1,V2), pppp6-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #39: unsound, references = 3, size of lhs = 3:
% 0.57/0.76     pppp7-{F}(V0,V1), pppp7-{F}(V0,V3), V1 == V3 | FALSE
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #40: unsound, references = 3, size of lhs = 3:
% 0.57/0.76     pppp7-{F}(V0,V1), pppp7-{F}(V2,V3), V0 == V2 | FALSE
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  number of simplifiers = 10
% 0.57/0.76  
% 0.57/0.76  Learnt:
% 0.57/0.76  #43: mergings( V0 == V3; #41 ), references = 4, size of lhs = 4:
% 0.57/0.76     P_empty_set-{F}(V0), #-{F} V1, #-{F} V2, V1 == V2 | pppp8-{T}(V1,V2)
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #46: disj( #13, input ), references = 3, size of lhs = 2:
% 0.57/0.76     P_empty_set-{F}(V0), pppp3-{F}(V1,V2,V0) | member-{T}(V1,V2)
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #47: disj( #13, input ), references = 1, size of lhs = 3:
% 0.57/0.76     P_empty_set-{F}(V0), pppp2-{F}(V1), pppp3-{F}(V2,V3,V1) | member-{T}(V2,V3)
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #50: mergings( V0 == V2; #48 ), references = 1, size of lhs = 2:
% 0.57/0.76     P_empty_set-{F}(V0), member-{F}(V1,V2) | pppp9-{T}(V2)
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #52: disj( #13, input ), references = 1, size of lhs = 2:
% 0.57/0.76     P_empty_set-{F}(V0), pppp3-{F}(V1,V0,V2) | member-{T}(V1,V2)
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #58: exists( #29, #16 ), references = 5, size of lhs = 2:
% 0.57/0.76     P_empty_set-{F}(V0), P_intersection-{F}(V1,V2,V3) | P_intersection-{T}(V2,V1,V3)
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #62: exists( #21, #59 ), references = 1, size of lhs = 2:
% 0.57/0.76     pppp9-{F}(V0), P_empty_set-{F}(V0) | FALSE
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #65: mergings( V0 == V1; #63 ), references = 1, size of lhs = 1:
% 0.57/0.76     P_empty_set-{F}(V0) | pppp2-{T}(V0)
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #78: exists( #11, #73 ), references = 1, size of lhs = 3:
% 0.57/0.76     P_empty_set-{F}(V0), pppp8-{F}(V1,V0), P_intersection-{F}(V1,V1,V0) | FALSE
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #81: mergings( V1 == V3; #77 ), references = 1, size of lhs = 4:
% 0.57/0.76     P_empty_set-{F}(V0), pppp8-{F}(V1,V0), pppp2-{F}(V2), P_intersection-{F}(V1,V1,V2) | FALSE
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #106: disj( #13, #4+#1+#12 ), references = 1, size of lhs = 3:
% 0.57/0.76     P_intersection-{F}(V0,V0,V1), pppp3-{F}(V2,V1,V0), pppp3-{F}(V2,V0,V3) | member-{T}(V2,V3)
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #115: disj( #13, #4+#1+#12 ), references = 1, size of lhs = 3:
% 0.57/0.76     P_intersection-{F}(V0,V0,V1), pppp3-{F}(V2,V1,V0), pppp3-{F}(V2,V3,V0) | member-{T}(V2,V3)
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #120: exists( #11, #118 ), references = 1, size of lhs = 3:
% 0.57/0.76     P_intersection-{F}(V0,V0,V1), pppp8-{F}(V1,V0), P_intersection-{F}(V0,V2,V1) | FALSE
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #123: exists( #29, #121 ), references = 3, size of lhs = 2:
% 0.57/0.76     P_empty_set-{F}(V0), #-{F} V1 | P_intersection-{T}(V1,V1,V1)
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #132: mergings( V0 == V2; #130 ), references = 1, size of lhs = 3:
% 0.57/0.76     P_empty_set-{F}(V0), pppp8-{F}(V1,V0), P_intersection-{F}(V1,V1,V2) | pppp9-{T}(V2)
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #142: exists( #21, #138 ), references = 1, size of lhs = 3:
% 0.57/0.76     pppp9-{F}(V0), P_empty_set-{F}(V1), P_intersection-{F}(V2,V1,V0) | FALSE
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #143: exists( #21, #139 ), references = 1, size of lhs = 4:
% 0.57/0.76     pppp9-{F}(V0), P_empty_set-{F}(V1), pppp2-{F}(V2), P_intersection-{F}(V3,V2,V0) | FALSE
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #156: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V1; #150 ), references = 2, size of lhs = 2:
% 0.57/0.76     P_empty_set-{F}(V0), #-{F} V1 | P_intersection-{T}(V1,V0,V0)
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #161: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #151 ), references = 1, size of lhs = 3:
% 0.57/0.76     P_empty_set-{F}(V0), pppp2-{F}(V1), #-{F} V2 | P_intersection-{T}(V2,V1,V0)
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #167: exists( #25, #162 ), references = 1, size of lhs = 3:
% 0.57/0.76     P_empty_set-{F}(V0), pppp6-{F}(V0,V1,V2), P_intersection-{F}(V1,V0,V3) | FALSE
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #168: exists( #25, #163 ), references = 1, size of lhs = 4:
% 0.57/0.76     P_empty_set-{F}(V0), pppp2-{F}(V1), pppp6-{F}(V1,V2,V3), P_intersection-{F}(V2,V1,V4) | FALSE
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #175: exists( #25, #170 ), references = 1, size of lhs = 3:
% 0.57/0.76     P_empty_set-{F}(V0), pppp6-{F}(V1,V0,V2), P_intersection-{F}(V0,V1,V3) | FALSE
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #176: exists( #25, #171 ), references = 1, size of lhs = 4:
% 0.57/0.76     P_empty_set-{F}(V0), pppp2-{F}(V1), pppp6-{F}(V2,V1,V3), P_intersection-{F}(V1,V2,V4) | FALSE
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #184: mergings( V3 == V1; #181 ), references = 1, size of lhs = 2:
% 0.57/0.76     P_empty_set-{F}(V0), pppp7-{F}(V1,V0) | FALSE
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #194: mergings( V3 == V4; #192 ), references = 3, size of lhs = 2:
% 0.57/0.76     P_empty_set-{F}(V0), pppp6-{F}(V1,V2,V3) | P_intersection-{T}(V1,V2,V3)
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #246: exists( #25, #242 ), references = 1, size of lhs = 4:
% 0.57/0.76     P_empty_set-{F}(V0), P_intersection-{F}(V1,V2,V0), pppp6-{F}(V1,V2,V3), P_intersection-{F}(V2,V1,V4) | FALSE
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #247: exists( #25, #243 ), references = 1, size of lhs = 5:
% 0.57/0.76     P_empty_set-{F}(V0), pppp2-{F}(V1), P_intersection-{F}(V2,V3,V1), pppp6-{F}(V2,V3,V4), P_intersection-{F}(V3,V2,V5) | FALSE
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #256: mergings( V3 == V4, V4 == V0; #252 ), references = 1, size of lhs = 2:
% 0.57/0.76     P_empty_set-{F}(V0), pppp7-{F}(V0,V1) | FALSE
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #259: mergings( V3 == V4, V4 == V5; #253 ), references = 1, size of lhs = 3:
% 0.57/0.76     P_empty_set-{F}(V0), pppp2-{F}(V1), pppp7-{F}(V1,V2) | FALSE
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #264: mergings( V2 == V3, V3 == V0; #260 ), references = 1, size of lhs = 1:
% 0.57/0.76     P_empty_set-{F}(V0) | FALSE
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  #268: exists( #30, #260 ), references = 1, size of lhs = 0:
% 0.57/0.76     FALSE | FALSE
% 0.57/0.76        (used 0 times, uses = {})
% 0.57/0.76  
% 0.57/0.76  number of learnt formulas = 31
% 0.57/0.76  
% 0.57/0.76  
% 0.57/0.76  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.57/0.76  
% 0.57/0.76  randbase = 1
%------------------------------------------------------------------------------