TSTP Solution File: SET603+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET603+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n018.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 0.41s 0.58s
% Output : Refutation 0.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET603+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 : n018.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 02:16:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.41/0.58 GeoParameters:
% 0.41/0.58
% 0.41/0.58 tptp_input = 1
% 0.41/0.58 tptp_output = 0
% 0.41/0.58 nonempty = 1
% 0.41/0.58 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.41/0.58 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.41/0.58
% 0.41/0.58
% 0.41/0.58 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.41/0.58 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.41/0.58
% 0.41/0.58 RuleSystem INPUT:
% 0.41/0.58
% 0.41/0.58 Initial Rules:
% 0.41/0.58 #0: input, references = 3, size of lhs = 3:
% 0.41/0.58 #-{F} V0, #-{F} V1, V0 == V1 | EXISTS V2: pppp5-{T}(V2,V0,V1)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #1: input, references = 4, size of lhs = 3:
% 0.41/0.58 pppp5-{F}(V0,V1,V2), member-{F}(V0,V2), member-{F}(V0,V1) | FALSE
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #2: input, references = 3, size of lhs = 1:
% 0.41/0.58 pppp5-{F}(V0,V1,V2) | member-{T}(V0,V1), member-{T}(V0,V2)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #3: input, references = 10, size of lhs = 2:
% 0.41/0.58 P_difference-{F}(V0,V1,V3), member-{F}(V2,V3) | pppp0-{T}(V2,V0,V1)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #4: input, references = 5, size of lhs = 2:
% 0.41/0.58 P_difference-{F}(V0,V1,V3), pppp0-{F}(V2,V0,V1) | member-{T}(V2,V3)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #5: input, references = 8, size of lhs = 1:
% 0.41/0.58 pppp0-{F}(V0,V1,V2) | member-{T}(V0,V1)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #6: input, references = 9, size of lhs = 2:
% 0.41/0.58 pppp0-{F}(V0,V1,V2), member-{F}(V0,V2) | FALSE
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #7: input, references = 5, size of lhs = 2:
% 0.41/0.58 #-{F} V2, member-{F}(V0,V1) | pppp0-{T}(V0,V1,V2), member-{T}(V0,V2)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #8: input, references = 7, size of lhs = 2:
% 0.41/0.58 P_empty_set-{F}(V0), member-{F}(V1,V0) | FALSE
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #9: input, references = 3, size of lhs = 2:
% 0.41/0.58 P_empty_set-{F}(V0), #-{F} V2 | pppp1-{T}(V2,V2)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #10: input, references = 3, size of lhs = 3:
% 0.41/0.58 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), V1 == V2 | FALSE
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #11: input, references = 3, size of lhs = 2:
% 0.41/0.58 P_empty_set-{F}(V0), pppp1-{F}(V1,V2) | subset-{T}(V1,V2)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #12: input, references = 3, size of lhs = 2:
% 0.41/0.58 P_empty_set-{F}(V0), pppp1-{F}(V1,V2) | subset-{T}(V2,V1)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #13: input, references = 3, size of lhs = 3:
% 0.41/0.58 P_empty_set-{F}(V0), subset-{F}(V1,V2), subset-{F}(V2,V1) | pppp1-{T}(V1,V2)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #14: input, references = 3, size of lhs = 2:
% 0.41/0.58 P_empty_set-{F}(V0), #-{F} V2 | pppp2-{T}(V2,V2)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #15: input, references = 3, size of lhs = 3:
% 0.41/0.58 P_empty_set-{F}(V0), pppp2-{F}(V1,V2), V1 == V2 | FALSE
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #16: input, references = 3, size of lhs = 3:
% 0.41/0.58 P_empty_set-{F}(V0), pppp2-{F}(V1,V2), member-{F}(V3,V1) | member-{T}(V3,V2)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #17: input, references = 3, size of lhs = 3:
% 0.41/0.58 P_empty_set-{F}(V0), pppp2-{F}(V1,V2), member-{F}(V3,V2) | member-{T}(V3,V1)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #18: input, references = 4, size of lhs = 3:
% 0.41/0.58 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | pppp2-{T}(V1,V2), pppp10-{T}(V1,V2)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #19: input, references = 6, size of lhs = 1:
% 0.41/0.58 pppp10-{F}(V0,V1) | EXISTS V2: pppp6-{T}(V2,V0,V1)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #20: input, references = 4, size of lhs = 3:
% 0.41/0.58 pppp6-{F}(V0,V1,V2), member-{F}(V0,V2), member-{F}(V0,V1) | FALSE
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #21: input, references = 6, size of lhs = 1:
% 0.41/0.58 pppp6-{F}(V0,V1,V2) | member-{T}(V0,V1), member-{T}(V0,V2)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #22: input, references = 3, size of lhs = 2:
% 0.41/0.58 P_empty_set-{F}(V0), subset-{F}(V1,V2) | pppp3-{T}(V1,V2)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #23: input, references = 3, size of lhs = 2:
% 0.41/0.58 P_empty_set-{F}(V0), pppp3-{F}(V1,V2) | subset-{T}(V1,V2)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #24: input, references = 6, size of lhs = 3:
% 0.41/0.58 P_empty_set-{F}(V0), pppp3-{F}(V1,V2), member-{F}(V3,V1) | member-{T}(V3,V2)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #25: input, references = 4, size of lhs = 3:
% 0.41/0.58 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | pppp3-{T}(V1,V2), pppp11-{T}(V1,V2)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #26: input, references = 3, size of lhs = 1:
% 0.41/0.58 pppp11-{F}(V0,V1) | EXISTS V2: pppp7-{T}(V2,V0,V1)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #27: input, references = 3, size of lhs = 2:
% 0.41/0.58 pppp7-{F}(V0,V1,V2), member-{F}(V0,V2) | FALSE
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #28: input, references = 3, size of lhs = 1:
% 0.41/0.58 pppp7-{F}(V0,V1,V2) | member-{T}(V0,V1)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #29: input, references = 3, size of lhs = 2:
% 0.41/0.58 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #30: input, references = 3, size of lhs = 2:
% 0.41/0.58 P_empty_set-{F}(V0), empty-{F}(V1) | pppp4-{T}(V1)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #31: input, references = 3, size of lhs = 2:
% 0.41/0.58 P_empty_set-{F}(V0), pppp4-{F}(V1) | empty-{T}(V1)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #32: input, references = 5, size of lhs = 3:
% 0.41/0.58 P_empty_set-{F}(V0), pppp4-{F}(V1), member-{F}(V2,V1) | FALSE
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #33: input, references = 6, size of lhs = 2:
% 0.41/0.58 P_empty_set-{F}(V0), #-{F} V1 | pppp4-{T}(V1), pppp12-{T}(V1)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #34: input, references = 5, size of lhs = 1:
% 0.41/0.58 pppp12-{F}(V0) | EXISTS V1: pppp8-{T}(V0,V1)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #35: input, references = 6, size of lhs = 1:
% 0.41/0.58 pppp8-{F}(V0,V1) | member-{T}(V1,V0)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #36: input, references = 4, size of lhs = 1:
% 0.41/0.58 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V0,V1)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #37: input, references = 4, size of lhs = 2:
% 0.41/0.58 pppp9-{F}(V0,V1), P_difference-{F}(V1,V0,V1) | FALSE
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #38: input, references = 6, size of lhs = 2:
% 0.41/0.58 #-{F} V0, #-{F} V1 | EXISTS V2: P_difference-{T}(V0,V1,V2)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #39: input, references = 4, size of lhs = 0:
% 0.41/0.58 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 number of initial rules = 40
% 0.41/0.58
% 0.41/0.58 Simplifiers:
% 0.41/0.58 #40: unsound, references = 3, size of lhs = 3:
% 0.41/0.58 P_difference-{F}(V0,V1,V2), P_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #41: unsound, references = 3, size of lhs = 3:
% 0.41/0.58 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #42: unsound, references = 3, size of lhs = 3:
% 0.41/0.58 pppp5-{F}(V0,V1,V2), pppp5-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #43: unsound, references = 3, size of lhs = 3:
% 0.41/0.58 pppp6-{F}(V0,V1,V2), pppp6-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #44: unsound, references = 3, size of lhs = 3:
% 0.41/0.58 pppp7-{F}(V0,V1,V2), pppp7-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #45: unsound, references = 3, size of lhs = 3:
% 0.41/0.58 pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #46: unsound, references = 3, size of lhs = 3:
% 0.41/0.58 pppp9-{F}(V0,V1), pppp9-{F}(V0,V3), V1 == V3 | FALSE
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #47: unsound, references = 3, size of lhs = 3:
% 0.41/0.58 pppp9-{F}(V0,V1), pppp9-{F}(V2,V3), V0 == V2 | FALSE
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 number of simplifiers = 8
% 0.41/0.58
% 0.41/0.58 Learnt:
% 0.41/0.58 #50: mergings( V0 == V3; #48 ), references = 5, size of lhs = 4:
% 0.41/0.58 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2, V1 == V2 | pppp10-{T}(V1,V2)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #53: disj( #21, #3+#6 ), references = 1, size of lhs = 2:
% 0.41/0.58 P_difference-{F}(V0,V1,V1), pppp6-{F}(V2,V1,V3) | member-{T}(V2,V3)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #56: exists( #19, #54 ), references = 1, size of lhs = 3:
% 0.41/0.58 P_empty_set-{F}(V0), pppp10-{F}(V1,V0), P_difference-{F}(V2,V1,V1) | FALSE
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #60: disj( #21, input ), references = 2, size of lhs = 3:
% 0.41/0.58 P_empty_set-{F}(V0), pppp4-{F}(V1), pppp6-{F}(V2,V1,V3) | member-{T}(V2,V3)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #65: mergings( V0 == V2, V2 == V3; #62 ), references = 1, size of lhs = 2:
% 0.41/0.58 P_empty_set-{F}(V0), pppp6-{F}(V1,V2,V0) | pppp12-{T}(V2)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #77: exists( #19, #73 ), references = 1, size of lhs = 4:
% 0.41/0.58 P_empty_set-{F}(V0), pppp4-{F}(V1), pppp10-{F}(V1,V2), P_difference-{F}(V3,V3,V2) | FALSE
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #80: mergings( V0 == V2; #78 ), references = 3, size of lhs = 3:
% 0.41/0.58 P_empty_set-{F}(V0), pppp10-{F}(V1,V2), P_difference-{F}(V3,V3,V2) | pppp12-{T}(V1)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #85: exists( #34, #83 ), references = 1, size of lhs = 2:
% 0.41/0.58 pppp12-{F}(V0), P_empty_set-{F}(V0) | FALSE
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #92: mergings( V2 == V3, V3 == V4, V4 == V5; #88 ), references = 1, size of lhs = 2:
% 0.41/0.58 P_empty_set-{F}(V0), #-{F} V1 | P_difference-{T}(V1,V1,V0)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #96: disj( #7, #4+#3+#6 ), references = 1, size of lhs = 4:
% 0.41/0.58 member-{F}(V0,V1), member-{F}(V0,V2), P_difference-{F}(V1,V3,V4), P_difference-{F}(V5,V2,V4) | member-{T}(V0,V3)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #103: disj( #7, input ), references = 3, size of lhs = 2:
% 0.41/0.58 P_empty_set-{F}(V0), member-{F}(V1,V2) | pppp0-{T}(V1,V2,V0)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #104: disj( #7, input ), references = 2, size of lhs = 3:
% 0.41/0.58 member-{F}(V0,V1), member-{F}(V0,V2), pppp6-{F}(V0,V3,V2) | pppp0-{T}(V0,V1,V3)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #105: disj( #7, input ), references = 1, size of lhs = 3:
% 0.41/0.58 P_empty_set-{F}(V0), pppp4-{F}(V1), member-{F}(V2,V3) | pppp0-{T}(V2,V3,V1)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #108: mergings( V0 == V1; #106 ), references = 1, size of lhs = 1:
% 0.41/0.58 P_empty_set-{F}(V0) | pppp4-{T}(V0)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #122: mergings( V0 == V3; #118 ), references = 1, size of lhs = 3:
% 0.41/0.58 P_empty_set-{F}(V0), member-{F}(V1,V2), pppp0-{F}(V1,V3,V4) | pppp11-{T}(V2,V4)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #125: mergings( V0 == V3, V3 == V2; #119 ), references = 1, size of lhs = 2:
% 0.41/0.58 P_empty_set-{F}(V0), member-{F}(V1,V2) | pppp11-{T}(V2,V0)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #128: mergings( V0 == V3, V3 == V4; #120 ), references = 1, size of lhs = 3:
% 0.41/0.58 P_empty_set-{F}(V0), pppp4-{F}(V1), member-{F}(V2,V3) | pppp11-{T}(V3,V1)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #147: exists( #34, #141 ), references = 2, size of lhs = 3:
% 0.41/0.58 pppp12-{F}(V0), P_empty_set-{F}(V1), P_difference-{F}(V1,V2,V0) | FALSE
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #148: exists( #34, #143 ), references = 2, size of lhs = 4:
% 0.41/0.58 pppp12-{F}(V0), P_empty_set-{F}(V1), pppp4-{F}(V2), P_difference-{F}(V2,V3,V0) | FALSE
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #157: mergings( V3 == V4, V4 == V0; #153 ), references = 1, size of lhs = 3:
% 0.41/0.58 P_empty_set-{F}(V0), P_difference-{F}(V1,V1,V2), #-{F} V3 | P_difference-{T}(V0,V3,V2)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #160: mergings( V3 == V4, V4 == V5; #154 ), references = 1, size of lhs = 4:
% 0.41/0.58 P_empty_set-{F}(V0), pppp4-{F}(V1), P_difference-{F}(V2,V2,V3), #-{F} V4 | P_difference-{T}(V1,V4,V3)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #171: disj( #21, #3+#5+#20 ), references = 1, size of lhs = 3:
% 0.41/0.58 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V1,V3), P_difference-{F}(V3,V4,V1) | member-{T}(V0,V2)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #172: disj( #21, #3+#5+#1 ), references = 1, size of lhs = 3:
% 0.41/0.58 pppp5-{F}(V0,V1,V2), pppp6-{F}(V0,V2,V3), P_difference-{F}(V1,V4,V2) | member-{T}(V0,V3)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #182: exists( #19, #178 ), references = 1, size of lhs = 4:
% 0.41/0.58 P_empty_set-{F}(V0), P_difference-{F}(V1,V0,V2), pppp10-{F}(V2,V1), P_difference-{F}(V1,V3,V2) | FALSE
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #188: mergings( V3 == V1; #185 ), references = 2, size of lhs = 2:
% 0.41/0.58 P_empty_set-{F}(V0), #-{F} V1 | P_difference-{T}(V1,V0,V1)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #191: exists( #36, #189 ), references = 1, size of lhs = 1:
% 0.41/0.58 P_empty_set-{F}(V0) | FALSE
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #193: exists( #39, #190 ), references = 1, size of lhs = 0:
% 0.41/0.58 FALSE | FALSE
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 number of learnt formulas = 27
% 0.41/0.58
% 0.41/0.58
% 0.41/0.58 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.41/0.58
% 0.41/0.58 randbase = 1
%------------------------------------------------------------------------------