TSTP Solution File: SET616+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET616+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n026.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 06:16:28 EDT 2022
% Result : Theorem 0.81s 1.02s
% Output : Refutation 0.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET616+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 : n026.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 02:58:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.81/1.02 GeoParameters:
% 0.81/1.02
% 0.81/1.02 tptp_input = 1
% 0.81/1.02 tptp_output = 0
% 0.81/1.02 nonempty = 1
% 0.81/1.02 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.81/1.02 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.81/1.02
% 0.81/1.02
% 0.81/1.02 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.81/1.02 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.81/1.02
% 0.81/1.02 RuleSystem INPUT:
% 0.81/1.02
% 0.81/1.02 Initial Rules:
% 0.81/1.02 #0: input, references = 3, size of lhs = 3:
% 0.81/1.02 #-{F} V0, #-{F} V1, V0 == V1 | EXISTS V2: pppp4-{T}(V2,V0,V1)
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #1: input, references = 3, size of lhs = 3:
% 0.81/1.02 pppp4-{F}(V0,V1,V2), member-{F}(V0,V2), member-{F}(V0,V1) | FALSE
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #2: input, references = 4, size of lhs = 1:
% 0.81/1.02 pppp4-{F}(V0,V1,V2) | member-{T}(V0,V1), member-{T}(V0,V2)
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #3: input, references = 13, size of lhs = 2:
% 0.81/1.02 P_difference-{F}(V0,V1,V3), member-{F}(V2,V3) | pppp0-{T}(V2,V0,V1)
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #4: input, references = 6, size of lhs = 2:
% 0.81/1.02 P_difference-{F}(V0,V1,V3), pppp0-{F}(V2,V0,V1) | member-{T}(V2,V3)
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #5: input, references = 5, size of lhs = 1:
% 0.81/1.02 pppp0-{F}(V0,V1,V2) | member-{T}(V0,V1)
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #6: input, references = 14, size of lhs = 2:
% 0.81/1.02 pppp0-{F}(V0,V1,V2), member-{F}(V0,V2) | FALSE
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #7: input, references = 5, size of lhs = 2:
% 0.81/1.02 #-{F} V2, member-{F}(V0,V1) | pppp0-{T}(V0,V1,V2), member-{T}(V0,V2)
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #8: input, references = 3, size of lhs = 1:
% 0.81/1.02 #-{F} V1 | pppp1-{T}(V1,V1)
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #9: input, references = 4, size of lhs = 2:
% 0.81/1.02 pppp1-{F}(V0,V1), V0 == V1 | FALSE
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #10: input, references = 3, size of lhs = 1:
% 0.81/1.02 pppp1-{F}(V0,V1) | subset-{T}(V0,V1)
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #11: input, references = 3, size of lhs = 1:
% 0.81/1.02 pppp1-{F}(V0,V1) | subset-{T}(V1,V0)
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #12: input, references = 4, size of lhs = 2:
% 0.81/1.02 subset-{F}(V0,V1), subset-{F}(V1,V0) | pppp1-{T}(V0,V1)
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #13: input, references = 3, size of lhs = 1:
% 0.81/1.02 #-{F} V1 | pppp2-{T}(V1,V1)
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #14: input, references = 3, size of lhs = 2:
% 0.81/1.02 pppp2-{F}(V0,V1), V0 == V1 | FALSE
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #15: input, references = 3, size of lhs = 2:
% 0.81/1.02 pppp2-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #16: input, references = 3, size of lhs = 2:
% 0.81/1.02 pppp2-{F}(V0,V1), member-{F}(V2,V1) | member-{T}(V2,V0)
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #17: input, references = 4, size of lhs = 2:
% 0.81/1.02 #-{F} V0, #-{F} V1 | pppp2-{T}(V0,V1), pppp9-{T}(V0,V1)
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #18: input, references = 7, size of lhs = 1:
% 0.81/1.02 pppp9-{F}(V0,V1) | EXISTS V2: pppp5-{T}(V2,V0,V1)
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #19: input, references = 6, size of lhs = 3:
% 0.81/1.02 pppp5-{F}(V0,V1,V2), member-{F}(V0,V2), member-{F}(V0,V1) | FALSE
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #20: input, references = 8, size of lhs = 1:
% 0.81/1.02 pppp5-{F}(V0,V1,V2) | member-{T}(V0,V1), member-{T}(V0,V2)
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #21: input, references = 3, size of lhs = 1:
% 0.81/1.02 subset-{F}(V0,V1) | pppp3-{T}(V0,V1)
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #22: input, references = 4, size of lhs = 1:
% 0.81/1.02 pppp3-{F}(V0,V1) | subset-{T}(V0,V1)
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #23: input, references = 7, size of lhs = 2:
% 0.81/1.02 pppp3-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #24: input, references = 9, size of lhs = 2:
% 0.81/1.02 #-{F} V0, #-{F} V1 | pppp3-{T}(V0,V1), pppp10-{T}(V0,V1)
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #25: input, references = 4, size of lhs = 1:
% 0.81/1.02 pppp10-{F}(V0,V1) | EXISTS V2: pppp6-{T}(V2,V0,V1)
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #26: input, references = 3, size of lhs = 2:
% 0.81/1.02 pppp6-{F}(V0,V1,V2), member-{F}(V0,V2) | FALSE
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #27: input, references = 4, size of lhs = 1:
% 0.81/1.02 pppp6-{F}(V0,V1,V2) | member-{T}(V0,V1)
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #28: input, references = 3, size of lhs = 1:
% 0.81/1.02 #-{F} V0 | subset-{T}(V0,V0)
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #29: input, references = 4, size of lhs = 0:
% 0.81/1.02 FALSE | EXISTS V0: pppp8-{T}(V0)
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #30: input, references = 4, size of lhs = 1:
% 0.81/1.02 pppp8-{F}(V0) | EXISTS V1: pppp7-{T}(V0,V1)
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #31: input, references = 4, size of lhs = 3:
% 0.81/1.02 pppp7-{F}(V1,V1), P_difference-{F}(V1,V1,V2), P_difference-{F}(V1,V1,V3) | FALSE
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #32: input, references = 5, size of lhs = 4:
% 0.81/1.02 pppp7-{F}(V0,V1), P_difference-{F}(V0,V1,V2), P_difference-{F}(V1,V0,V3), V2 == V3 | FALSE
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #33: input, references = 11, size of lhs = 2:
% 0.81/1.02 #-{F} V0, #-{F} V1 | EXISTS V2: P_difference-{T}(V0,V1,V2)
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 number of initial rules = 34
% 0.81/1.02
% 0.81/1.02 Simplifiers:
% 0.81/1.02 #34: unsound, references = 3, size of lhs = 3:
% 0.81/1.02 P_difference-{F}(V0,V1,V2), P_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #35: unsound, references = 3, size of lhs = 3:
% 0.81/1.02 pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #36: unsound, references = 3, size of lhs = 3:
% 0.81/1.02 pppp5-{F}(V0,V1,V2), pppp5-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #37: unsound, references = 3, size of lhs = 3:
% 0.81/1.02 pppp6-{F}(V0,V1,V2), pppp6-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #38: unsound, references = 3, size of lhs = 3:
% 0.81/1.02 pppp7-{F}(V0,V1), pppp7-{F}(V0,V3), V1 == V3 | FALSE
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #39: unsound, references = 3, size of lhs = 3:
% 0.81/1.02 pppp7-{F}(V0,V1), pppp7-{F}(V2,V3), V0 == V2 | FALSE
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #40: unsound, references = 3, size of lhs = 3:
% 0.81/1.02 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 number of simplifiers = 7
% 0.81/1.02
% 0.81/1.02 Learnt:
% 0.81/1.02 #42: disj( #17, input ), references = 4, size of lhs = 3:
% 0.81/1.02 #-{F} V0, #-{F} V1, V0 == V1 | pppp9-{T}(V0,V1)
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #46: disj( #20, #3+#6 ), references = 4, size of lhs = 2:
% 0.81/1.02 P_difference-{F}(V0,V1,V1), pppp5-{F}(V2,V1,V3) | member-{T}(V2,V3)
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #49: disj( #24, #23+#19 ), references = 1, size of lhs = 3:
% 0.81/1.02 member-{F}(V0,V1), member-{F}(V0,V2), pppp5-{F}(V0,V3,V2) | pppp10-{T}(V1,V3)
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #52: exists( #33, #31 ), references = 2, size of lhs = 1:
% 0.81/1.02 pppp7-{F}(V0,V0) | FALSE
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #55: disj( #7, input ), references = 5, size of lhs = 3:
% 0.81/1.02 member-{F}(V0,V1), member-{F}(V0,V2), pppp5-{F}(V0,V3,V2) | pppp0-{T}(V0,V1,V3)
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #56: disj( #7, input ), references = 1, size of lhs = 3:
% 0.81/1.02 member-{F}(V0,V1), member-{F}(V0,V2), pppp4-{F}(V0,V3,V2) | pppp0-{T}(V0,V1,V3)
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #60: exists( #25, #58 ), references = 1, size of lhs = 2:
% 0.81/1.02 P_difference-{F}(V0,V1,V1), pppp10-{F}(V1,V2) | FALSE
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #62: disj( #24, exists( #25, #58 ) ), references = 1, size of lhs = 2:
% 0.81/1.02 P_difference-{F}(V0,V1,V1), #-{F} V2 | pppp3-{T}(V1,V2)
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #66: exists( #33, #32 ), references = 2, size of lhs = 2:
% 0.81/1.02 pppp7-{F}(V0,V1), P_difference-{F}(V1,V0,V2) | P_difference-{T}(V0,V1,V2)
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #75: exists( #33, #73 ), references = 1, size of lhs = 3:
% 0.81/1.02 member-{F}(V0,V1), pppp7-{F}(V1,V2), pppp0-{F}(V0,V1,V2) | FALSE
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #88: exists( #33, #32 ), references = 3, size of lhs = 2:
% 0.81/1.02 pppp7-{F}(V0,V1), P_difference-{F}(V0,V1,V2) | P_difference-{T}(V1,V0,V2)
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #96: exists( #18, #93 ), references = 2, size of lhs = 3:
% 0.81/1.02 P_difference-{F}(V0,V1,V1), pppp9-{F}(V1,V2), P_difference-{F}(V3,V3,V2) | FALSE
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #99: exists( #33, #97 ), references = 1, size of lhs = 2:
% 0.81/1.02 P_difference-{F}(V0,V1,V1), #-{F} V2 | P_difference-{T}(V2,V2,V1)
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #108: disj( #24, #22+#12+#9 ), references = 1, size of lhs = 2:
% 0.81/1.02 subset-{F}(V0,V1), V1 == V0 | pppp10-{T}(V1,V0)
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #122: exists( #18, #119 ), references = 1, size of lhs = 4:
% 0.81/1.02 P_difference-{F}(V0,V1,V1), pppp9-{F}(V1,V2), pppp3-{F}(V2,V3), P_difference-{F}(V4,V3,V2) | FALSE
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #124: disj( #24, exists( #18, #119 ) ), references = 1, size of lhs = 3:
% 0.81/1.02 P_difference-{F}(V0,V1,V1), pppp9-{F}(V1,V2), P_difference-{F}(V3,V4,V2) | pppp10-{T}(V2,V4)
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #128: disj( #24, #23+#3+#6 ), references = 1, size of lhs = 3:
% 0.81/1.02 member-{F}(V0,V1), member-{F}(V0,V2), P_difference-{F}(V3,V2,V4) | pppp10-{T}(V1,V4)
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #134: disj( #20, input ), references = 1, size of lhs = 2:
% 0.81/1.02 pppp5-{F}(V0,V1,V2), pppp6-{F}(V0,V3,V2) | member-{T}(V0,V1)
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #149: exists( #18, #145 ), references = 2, size of lhs = 3:
% 0.81/1.02 P_difference-{F}(V0,V1,V1), pppp9-{F}(V1,V2), P_difference-{F}(V1,V3,V2) | FALSE
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #152: exists( #33, #150 ), references = 1, size of lhs = 2:
% 0.81/1.02 P_difference-{F}(V0,V1,V1), #-{F} V2 | P_difference-{T}(V1,V2,V1)
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #159: disj( #20, #3+#6 ), references = 1, size of lhs = 2:
% 0.81/1.02 P_difference-{F}(V0,V1,V1), pppp5-{F}(V2,V3,V1) | member-{T}(V2,V3)
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #163: disj( #24, #23+#19 ), references = 1, size of lhs = 3:
% 0.81/1.02 member-{F}(V0,V1), member-{F}(V0,V2), pppp5-{F}(V0,V2,V3) | pppp10-{T}(V1,V3)
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #168: disj( #7, exists( #33, #73 ) ), references = 3, size of lhs = 2:
% 0.81/1.02 member-{F}(V0,V1), pppp7-{F}(V1,V2) | member-{T}(V0,V2)
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #173: disj( #2, input ), references = 1, size of lhs = 3:
% 0.81/1.02 member-{F}(V0,V1), pppp5-{F}(V0,V1,V2), pppp4-{F}(V0,V2,V3) | member-{T}(V0,V3)
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #183: disj( #20, #55+#4+#3+#6 ), references = 1, size of lhs = 4:
% 0.81/1.02 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V2,V3), P_difference-{F}(V2,V1,V4), P_difference-{F}(V5,V2,V4) | member-{T}(V0,V3)
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #199: mergings( V0 == V4, V1 == V5; #194 ), references = 1, size of lhs = 3:
% 0.81/1.02 pppp7-{F}(V0,V1), pppp5-{F}(V2,V0,V1), pppp5-{F}(V2,V1,V0) | FALSE
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #210: exists( #33, #208 ), references = 2, size of lhs = 3:
% 0.81/1.02 member-{F}(V0,V1), pppp0-{F}(V0,V1,V2), pppp7-{F}(V2,V1) | FALSE
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #244: disj( #20, #55+#210 ), references = 1, size of lhs = 3:
% 0.81/1.02 pppp7-{F}(V0,V1), pppp5-{F}(V2,V0,V1), pppp5-{F}(V2,V3,V1) | member-{T}(V2,V3)
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #248: exists( #18, #246 ), references = 1, size of lhs = 2:
% 0.81/1.02 pppp9-{F}(V0,V1), pppp7-{F}(V0,V1) | FALSE
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #251: exists( #30, #249 ), references = 1, size of lhs = 1:
% 0.81/1.02 pppp8-{F}(V0) | pppp7-{T}(V0,V0)
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 #254: exists( #29, #252 ), references = 1, size of lhs = 0:
% 0.81/1.02 FALSE | FALSE
% 0.81/1.02 (used 0 times, uses = {})
% 0.81/1.02
% 0.81/1.02 number of learnt formulas = 31
% 0.81/1.02
% 0.81/1.02
% 0.81/1.02 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.81/1.02
% 0.81/1.02 randbase = 1
%------------------------------------------------------------------------------