TSTP Solution File: SET185+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET185+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n008.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 06:15:58 EDT 2022
% Result : Theorem 0.18s 0.48s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET185+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n008.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 02:07:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.48 GeoParameters:
% 0.18/0.48
% 0.18/0.48 tptp_input = 1
% 0.18/0.48 tptp_output = 0
% 0.18/0.48 nonempty = 1
% 0.18/0.48 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.48 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.18/0.48
% 0.18/0.48
% 0.18/0.48 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.48 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.48
% 0.18/0.48 RuleSystem INPUT:
% 0.18/0.48
% 0.18/0.48 Initial Rules:
% 0.18/0.48 #0: input, references = 5, size of lhs = 2:
% 0.18/0.48 P_union-{F}(V0,V1,V3), member-{F}(V2,V3) | pppp0-{T}(V2,V0,V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #1: input, references = 4, size of lhs = 2:
% 0.18/0.48 P_union-{F}(V0,V1,V3), pppp0-{F}(V2,V0,V1) | member-{T}(V2,V3)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #2: input, references = 4, size of lhs = 1:
% 0.18/0.48 pppp0-{F}(V0,V1,V2) | member-{T}(V0,V1), member-{T}(V0,V2)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #3: input, references = 4, size of lhs = 2:
% 0.18/0.48 #-{F} V2, member-{F}(V0,V1) | pppp0-{T}(V0,V1,V2)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #4: input, references = 3, size of lhs = 2:
% 0.18/0.48 #-{F} V1, member-{F}(V0,V2) | pppp0-{T}(V0,V1,V2)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #5: input, references = 4, size of lhs = 1:
% 0.18/0.48 subset-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #6: input, references = 3, size of lhs = 1:
% 0.18/0.48 pppp1-{F}(V0,V1) | subset-{T}(V0,V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #7: input, references = 4, size of lhs = 2:
% 0.18/0.48 pppp1-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #8: input, references = 4, size of lhs = 2:
% 0.18/0.48 #-{F} V0, #-{F} V1 | pppp1-{T}(V0,V1), pppp8-{T}(V0,V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #9: input, references = 3, size of lhs = 1:
% 0.18/0.48 pppp8-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V2,V0,V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #10: input, references = 3, size of lhs = 2:
% 0.18/0.48 pppp4-{F}(V0,V1,V2), member-{F}(V0,V2) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #11: input, references = 3, size of lhs = 1:
% 0.18/0.48 pppp4-{F}(V0,V1,V2) | member-{T}(V0,V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #12: input, references = 3, size of lhs = 1:
% 0.18/0.48 #-{F} V1 | pppp2-{T}(V1,V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #13: input, references = 3, size of lhs = 2:
% 0.18/0.48 pppp2-{F}(V0,V1), V0 == V1 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #14: input, references = 3, size of lhs = 1:
% 0.18/0.48 pppp2-{F}(V0,V1) | subset-{T}(V0,V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #15: input, references = 3, size of lhs = 1:
% 0.18/0.48 pppp2-{F}(V0,V1) | subset-{T}(V1,V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #16: input, references = 3, size of lhs = 2:
% 0.18/0.48 subset-{F}(V0,V1), subset-{F}(V1,V0) | pppp2-{T}(V0,V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #17: input, references = 4, size of lhs = 3:
% 0.18/0.48 P_union-{F}(V0,V1,V2), P_union-{F}(V1,V0,V3), V2 == V3 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #18: input, references = 3, size of lhs = 1:
% 0.18/0.48 #-{F} V0 | subset-{T}(V0,V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #19: input, references = 3, size of lhs = 1:
% 0.18/0.48 #-{F} V1 | pppp3-{T}(V1,V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #20: input, references = 3, size of lhs = 2:
% 0.18/0.48 pppp3-{F}(V0,V1), V0 == V1 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #21: input, references = 3, size of lhs = 2:
% 0.18/0.48 pppp3-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #22: input, references = 3, size of lhs = 2:
% 0.18/0.48 pppp3-{F}(V0,V1), member-{F}(V2,V1) | member-{T}(V2,V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #23: input, references = 4, size of lhs = 2:
% 0.18/0.48 #-{F} V0, #-{F} V1 | pppp3-{T}(V0,V1), pppp9-{T}(V0,V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #24: input, references = 5, size of lhs = 1:
% 0.18/0.48 pppp9-{F}(V0,V1) | EXISTS V2: pppp5-{T}(V2,V0,V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #25: input, references = 6, size of lhs = 3:
% 0.18/0.48 pppp5-{F}(V0,V1,V2), member-{F}(V0,V2), member-{F}(V0,V1) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #26: input, references = 4, size of lhs = 1:
% 0.18/0.48 pppp5-{F}(V0,V1,V2) | member-{T}(V0,V1), member-{T}(V0,V2)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #27: input, references = 4, size of lhs = 0:
% 0.18/0.48 FALSE | EXISTS V0: pppp7-{T}(V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #28: input, references = 4, size of lhs = 1:
% 0.18/0.48 pppp7-{F}(V0) | EXISTS V1: pppp6-{T}(V0,V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #29: input, references = 4, size of lhs = 2:
% 0.18/0.48 pppp6-{F}(V0,V1), P_union-{F}(V0,V1,V1) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #30: input, references = 4, size of lhs = 2:
% 0.18/0.48 pppp6-{F}(V0,V1), P_union-{F}(V0,V1,V2) | subset-{T}(V0,V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #31: input, references = 7, size of lhs = 2:
% 0.18/0.48 #-{F} V0, #-{F} V1 | EXISTS V2: P_union-{T}(V0,V1,V2)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 number of initial rules = 32
% 0.18/0.48
% 0.18/0.48 Simplifiers:
% 0.18/0.48 #32: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 P_union-{F}(V0,V1,V2), P_union-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #33: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #34: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp5-{F}(V0,V1,V2), pppp5-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #35: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp6-{F}(V0,V1), pppp6-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #36: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp6-{F}(V0,V1), pppp6-{F}(V2,V3), V0 == V2 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #37: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 number of simplifiers = 6
% 0.18/0.48
% 0.18/0.48 Learnt:
% 0.18/0.48 #39: disj( #23, input ), references = 3, size of lhs = 3:
% 0.18/0.48 #-{F} V0, #-{F} V1, V0 == V1 | pppp9-{T}(V0,V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #41: exists( #31, #17 ), references = 2, size of lhs = 1:
% 0.18/0.48 P_union-{F}(V0,V1,V2) | P_union-{T}(V1,V0,V2)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #45: disj( #26, #3+#1+#25 ), references = 3, size of lhs = 3:
% 0.18/0.48 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V3,V2), P_union-{F}(V2,V4,V3) | member-{T}(V0,V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #48: disj( #2, input ), references = 3, size of lhs = 3:
% 0.18/0.48 member-{F}(V0,V1), pppp5-{F}(V0,V1,V2), pppp0-{F}(V0,V2,V3) | member-{T}(V0,V3)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #49: disj( #2, input ), references = 1, size of lhs = 2:
% 0.18/0.48 pppp4-{F}(V0,V1,V2), pppp0-{F}(V0,V2,V3) | member-{T}(V0,V3)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #56: exists( #24, #54 ), references = 1, size of lhs = 3:
% 0.18/0.48 P_union-{F}(V0,V0,V1), pppp9-{F}(V1,V0), P_union-{F}(V0,V2,V1) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #59: exists( #31, #57 ), references = 1, size of lhs = 1:
% 0.18/0.48 #-{F} V0 | P_union-{T}(V0,V0,V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #65: exists( #24, #63 ), references = 2, size of lhs = 4:
% 0.18/0.48 pppp1-{F}(V0,V1), P_union-{F}(V1,V0,V2), pppp9-{F}(V2,V1), P_union-{F}(V1,V3,V2) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #67: disj( #8, exists( #24, #63 ) ), references = 1, size of lhs = 3:
% 0.18/0.48 pppp9-{F}(V0,V1), P_union-{F}(V1,V2,V0), P_union-{F}(V1,V3,V0) | pppp8-{T}(V2,V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #72: exists( #31, #70 ), references = 2, size of lhs = 1:
% 0.18/0.48 pppp1-{F}(V0,V1) | P_union-{T}(V0,V1,V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #83: exists( #31, #78 ), references = 1, size of lhs = 1:
% 0.18/0.48 pppp6-{F}(V0,V1) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #85: exists( #28, #81 ), references = 1, size of lhs = 1:
% 0.18/0.48 pppp7-{F}(V0) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #87: exists( #27, #84 ), references = 1, size of lhs = 0:
% 0.18/0.48 FALSE | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 number of learnt formulas = 13
% 0.18/0.48
% 0.18/0.48
% 0.18/0.48 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.48
% 0.18/0.48 randbase = 1
%------------------------------------------------------------------------------