TSTP Solution File: SET194+3 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET194+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n012.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 06:15:59 EDT 2022
% Result : Theorem 0.17s 0.52s
% Output : Refutation 0.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SET194+3 : TPTP v8.1.0. Released v2.2.0.
% 0.05/0.11 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.10/0.31 % Computer : n012.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Sat Jul 23 02:08:37 EDT 2022
% 0.10/0.32 % CPUTime :
% 0.17/0.52 GeoParameters:
% 0.17/0.52
% 0.17/0.52 tptp_input = 1
% 0.17/0.52 tptp_output = 0
% 0.17/0.52 nonempty = 1
% 0.17/0.52 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.52 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.17/0.52
% 0.17/0.52
% 0.17/0.52 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.52 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.52
% 0.17/0.52 RuleSystem INPUT:
% 0.17/0.52
% 0.17/0.52 Initial Rules:
% 0.17/0.52 #0: input, references = 4, size of lhs = 2:
% 0.17/0.52 P_union-{F}(V0,V1,V3), member-{F}(V2,V3) | pppp0-{T}(V2,V0,V1)
% 0.17/0.52 (used 0 times, uses = {})
% 0.17/0.52
% 0.17/0.52 #1: input, references = 5, size of lhs = 2:
% 0.17/0.52 P_union-{F}(V0,V1,V3), pppp0-{F}(V2,V0,V1) | member-{T}(V2,V3)
% 0.17/0.52 (used 0 times, uses = {})
% 0.17/0.52
% 0.17/0.52 #2: input, references = 4, size of lhs = 1:
% 0.17/0.52 pppp0-{F}(V0,V1,V2) | member-{T}(V0,V1), member-{T}(V0,V2)
% 0.17/0.52 (used 0 times, uses = {})
% 0.17/0.52
% 0.17/0.52 #3: input, references = 4, size of lhs = 2:
% 0.17/0.52 #-{F} V2, member-{F}(V0,V1) | pppp0-{T}(V0,V1,V2)
% 0.17/0.52 (used 0 times, uses = {})
% 0.17/0.52
% 0.17/0.52 #4: input, references = 4, size of lhs = 2:
% 0.17/0.52 #-{F} V1, member-{F}(V0,V2) | pppp0-{T}(V0,V1,V2)
% 0.17/0.52 (used 0 times, uses = {})
% 0.17/0.52
% 0.17/0.52 #5: input, references = 3, size of lhs = 1:
% 0.17/0.52 subset-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 0.17/0.52 (used 0 times, uses = {})
% 0.17/0.52
% 0.17/0.52 #6: input, references = 4, size of lhs = 1:
% 0.17/0.52 pppp1-{F}(V0,V1) | subset-{T}(V0,V1)
% 0.17/0.52 (used 0 times, uses = {})
% 0.17/0.52
% 0.17/0.52 #7: input, references = 6, size of lhs = 2:
% 0.17/0.52 pppp1-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 0.17/0.52 (used 0 times, uses = {})
% 0.17/0.52
% 0.17/0.52 #8: input, references = 6, size of lhs = 2:
% 0.17/0.52 #-{F} V0, #-{F} V1 | pppp1-{T}(V0,V1), pppp7-{T}(V0,V1)
% 0.17/0.52 (used 0 times, uses = {})
% 0.17/0.52
% 0.17/0.52 #9: input, references = 4, size of lhs = 1:
% 0.17/0.52 pppp7-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V2,V0,V1)
% 0.17/0.52 (used 0 times, uses = {})
% 0.17/0.52
% 0.17/0.52 #10: input, references = 4, size of lhs = 2:
% 0.17/0.52 pppp3-{F}(V0,V1,V2), member-{F}(V0,V2) | FALSE
% 0.17/0.52 (used 0 times, uses = {})
% 0.17/0.52
% 0.17/0.52 #11: input, references = 4, size of lhs = 1:
% 0.17/0.52 pppp3-{F}(V0,V1,V2) | member-{T}(V0,V1)
% 0.17/0.52 (used 0 times, uses = {})
% 0.17/0.52
% 0.17/0.52 #12: input, references = 4, size of lhs = 3:
% 0.17/0.52 P_union-{F}(V0,V1,V2), P_union-{F}(V1,V0,V3), V2 == V3 | FALSE
% 0.37/0.52 (used 0 times, uses = {})
% 0.37/0.52
% 0.37/0.52 #13: input, references = 3, size of lhs = 1:
% 0.37/0.52 #-{F} V0 | subset-{T}(V0,V0)
% 0.37/0.52 (used 0 times, uses = {})
% 0.37/0.52
% 0.37/0.52 #14: input, references = 3, size of lhs = 1:
% 0.37/0.52 #-{F} V1 | pppp2-{T}(V1,V1)
% 0.37/0.52 (used 0 times, uses = {})
% 0.37/0.52
% 0.37/0.52 #15: input, references = 3, size of lhs = 2:
% 0.37/0.52 pppp2-{F}(V0,V1), V0 == V1 | FALSE
% 0.37/0.52 (used 0 times, uses = {})
% 0.37/0.52
% 0.37/0.52 #16: input, references = 3, size of lhs = 2:
% 0.37/0.52 pppp2-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 0.37/0.52 (used 0 times, uses = {})
% 0.37/0.52
% 0.37/0.52 #17: input, references = 3, size of lhs = 2:
% 0.37/0.52 pppp2-{F}(V0,V1), member-{F}(V2,V1) | member-{T}(V2,V0)
% 0.37/0.52 (used 0 times, uses = {})
% 0.37/0.52
% 0.37/0.52 #18: input, references = 4, size of lhs = 2:
% 0.37/0.52 #-{F} V0, #-{F} V1 | pppp2-{T}(V0,V1), pppp8-{T}(V0,V1)
% 0.37/0.52 (used 0 times, uses = {})
% 0.37/0.52
% 0.37/0.52 #19: input, references = 4, size of lhs = 1:
% 0.37/0.52 pppp8-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V2,V0,V1)
% 0.37/0.52 (used 0 times, uses = {})
% 0.37/0.52
% 0.37/0.52 #20: input, references = 8, size of lhs = 3:
% 0.37/0.52 pppp4-{F}(V0,V1,V2), member-{F}(V0,V2), member-{F}(V0,V1) | FALSE
% 0.37/0.52 (used 0 times, uses = {})
% 0.37/0.52
% 0.37/0.52 #21: input, references = 5, size of lhs = 1:
% 0.37/0.52 pppp4-{F}(V0,V1,V2) | member-{T}(V0,V1), member-{T}(V0,V2)
% 0.37/0.52 (used 0 times, uses = {})
% 0.37/0.52
% 0.37/0.52 #22: input, references = 4, size of lhs = 0:
% 0.37/0.52 FALSE | EXISTS V0: pppp6-{T}(V0)
% 0.37/0.52 (used 0 times, uses = {})
% 0.37/0.52
% 0.37/0.52 #23: input, references = 4, size of lhs = 1:
% 0.37/0.52 pppp6-{F}(V0) | EXISTS V1: pppp5-{T}(V0,V1)
% 0.37/0.52 (used 0 times, uses = {})
% 0.37/0.52
% 0.37/0.52 #24: input, references = 4, size of lhs = 3:
% 0.37/0.52 pppp5-{F}(V0,V1), P_union-{F}(V0,V1,V2), subset-{F}(V0,V2) | FALSE
% 0.37/0.52 (used 0 times, uses = {})
% 0.37/0.52
% 0.37/0.52 #25: input, references = 6, size of lhs = 2:
% 0.37/0.52 #-{F} V0, #-{F} V1 | EXISTS V2: P_union-{T}(V0,V1,V2)
% 0.37/0.52 (used 0 times, uses = {})
% 0.37/0.52
% 0.37/0.52 number of initial rules = 26
% 0.37/0.52
% 0.37/0.52 Simplifiers:
% 0.37/0.52 #26: unsound, references = 3, size of lhs = 3:
% 0.37/0.52 P_union-{F}(V0,V1,V2), P_union-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.37/0.52 (used 0 times, uses = {})
% 0.37/0.52
% 0.37/0.52 #27: unsound, references = 3, size of lhs = 3:
% 0.37/0.52 pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.37/0.52 (used 0 times, uses = {})
% 0.37/0.52
% 0.37/0.52 #28: unsound, references = 3, size of lhs = 3:
% 0.37/0.52 pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.37/0.52 (used 0 times, uses = {})
% 0.37/0.52
% 0.37/0.52 #29: unsound, references = 3, size of lhs = 3:
% 0.37/0.52 pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 0.37/0.52 (used 0 times, uses = {})
% 0.37/0.52
% 0.37/0.52 #30: unsound, references = 3, size of lhs = 3:
% 0.37/0.52 pppp5-{F}(V0,V1), pppp5-{F}(V2,V3), V0 == V2 | FALSE
% 0.37/0.52 (used 0 times, uses = {})
% 0.37/0.52
% 0.37/0.52 #31: unsound, references = 3, size of lhs = 3:
% 0.37/0.52 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 0.37/0.52 (used 0 times, uses = {})
% 0.37/0.52
% 0.37/0.52 number of simplifiers = 6
% 0.37/0.52
% 0.37/0.52 Learnt:
% 0.37/0.52 #33: disj( #18, input ), references = 2, size of lhs = 3:
% 0.37/0.52 #-{F} V0, #-{F} V1, V0 == V1 | pppp8-{T}(V0,V1)
% 0.37/0.52 (used 0 times, uses = {})
% 0.37/0.52
% 0.37/0.52 #35: exists( #25, #12 ), references = 2, size of lhs = 1:
% 0.37/0.52 P_union-{F}(V0,V1,V2) | P_union-{T}(V1,V0,V2)
% 0.37/0.52 (used 0 times, uses = {})
% 0.37/0.52
% 0.37/0.52 #39: disj( #21, #3+#1+#20 ), references = 2, size of lhs = 3:
% 0.37/0.52 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V3,V2), P_union-{F}(V2,V4,V3) | member-{T}(V0,V1)
% 0.37/0.52 (used 0 times, uses = {})
% 0.37/0.52
% 0.37/0.52 #42: disj( #21, #7+#20 ), references = 1, size of lhs = 3:
% 0.37/0.52 pppp1-{F}(V0,V1), pppp4-{F}(V2,V0,V1), pppp4-{F}(V2,V0,V3) | member-{T}(V2,V3)
% 0.37/0.52 (used 0 times, uses = {})
% 0.37/0.52
% 0.37/0.52 #45: disj( #8, #7+#20 ), references = 1, size of lhs = 3:
% 0.37/0.52 member-{F}(V0,V1), member-{F}(V0,V2), pppp4-{F}(V0,V3,V2) | pppp7-{T}(V1,V3)
% 0.37/0.52 (used 0 times, uses = {})
% 0.37/0.52
% 0.37/0.52 #49: disj( #8, #6+#24 ), references = 2, size of lhs = 2:
% 0.37/0.52 pppp5-{F}(V0,V1), P_union-{F}(V0,V1,V2) | pppp7-{T}(V0,V2)
% 0.37/0.52 (used 0 times, uses = {})
% 0.37/0.52
% 0.37/0.52 #52: disj( #8, #7+#20 ), references = 1, size of lhs = 3:
% 0.37/0.52 member-{F}(V0,V1), member-{F}(V0,V2), pppp4-{F}(V0,V2,V3) | pppp7-{T}(V1,V3)
% 0.37/0.52 (used 0 times, uses = {})
% 0.37/0.52
% 0.37/0.52 #56: disj( #2, input ), references = 1, size of lhs = 3:
% 0.37/0.52 member-{F}(V0,V1), pppp4-{F}(V0,V1,V2), pppp0-{F}(V0,V2,V3) | member-{T}(V0,V3)
% 0.37/0.52 (used 0 times, uses = {})
% 0.37/0.52
% 0.37/0.52 #61: exists( #19, #59 ), references = 1, size of lhs = 3:
% 0.37/0.52 P_union-{F}(V0,V0,V1), pppp8-{F}(V1,V0), P_union-{F}(V0,V2,V1) | FALSE
% 0.37/0.52 (used 0 times, uses = {})
% 0.37/0.52
% 0.37/0.52 #64: exists( #25, #62 ), references = 1, size of lhs = 1:
% 0.37/0.52 #-{F} V0 | P_union-{T}(V0,V0,V0)
% 0.37/0.52 (used 0 times, uses = {})
% 0.37/0.52
% 0.37/0.52 #72: exists( #9, #70 ), references = 1, size of lhs = 2:
% 0.37/0.52 pppp7-{F}(V0,V1), P_union-{F}(V2,V0,V1) | FALSE
% 0.37/0.52 (used 0 times, uses = {})
% 0.37/0.52
% 0.37/0.52 #76: exists( #25, #74 ), references = 1, size of lhs = 1:
% 0.37/0.52 pppp5-{F}(V0,V1) | FALSE
% 0.37/0.52 (used 0 times, uses = {})
% 0.37/0.52
% 0.37/0.52 #78: exists( #23, #75 ), references = 1, size of lhs = 1:
% 0.37/0.52 pppp6-{F}(V0) | FALSE
% 0.37/0.52 (used 0 times, uses = {})
% 0.37/0.52
% 0.37/0.52 #80: exists( #22, #77 ), references = 1, size of lhs = 0:
% 0.37/0.52 FALSE | FALSE
% 0.37/0.52 (used 0 times, uses = {})
% 0.37/0.52
% 0.37/0.52 number of learnt formulas = 14
% 0.37/0.52
% 0.37/0.52
% 0.37/0.52 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/0.52
% 0.37/0.52 randbase = 1
%------------------------------------------------------------------------------