%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET958+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n020.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 06:17:00 EDT 2022
% Result : Theorem 0.42s 0.61s
% Output : Refutation 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET958+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n020.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 02:53:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.42/0.61 GeoParameters:
% 0.42/0.61
% 0.42/0.61 tptp_input = 1
% 0.42/0.61 tptp_output = 0
% 0.42/0.61 nonempty = 1
% 0.42/0.61 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.42/0.61 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.42/0.61
% 0.42/0.61
% 0.42/0.61 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.42/0.61 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.42/0.61
% 0.42/0.61 RuleSystem INPUT:
% 0.42/0.61
% 0.42/0.61 Initial Rules:
% 0.42/0.61 #0: input, references = 5, size of lhs = 2:
% 0.42/0.61 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 0.42/0.61 (used 0 times, uses = {})
% 0.42/0.61
% 0.42/0.61 #1: input, references = 4, size of lhs = 3:
% 0.42/0.61 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V1,V0,V3), V2 == V3 | FALSE
% 0.42/0.61 (used 0 times, uses = {})
% 0.42/0.61
% 0.42/0.61 #2: input, references = 3, size of lhs = 1:
% 0.42/0.61 subset-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 0.42/0.61 (used 0 times, uses = {})
% 0.42/0.61
% 0.42/0.61 #3: input, references = 4, size of lhs = 1:
% 0.42/0.61 pppp0-{F}(V0,V1) | subset-{T}(V0,V1)
% 0.42/0.61 (used 0 times, uses = {})
% 0.42/0.61
% 0.42/0.61 #4: input, references = 6, size of lhs = 2:
% 0.42/0.61 pppp0-{F}(V0,V1), in-{F}(V2,V0) | in-{T}(V2,V1)
% 0.42/0.61 (used 0 times, uses = {})
% 0.42/0.61
% 0.42/0.61 #5: input, references = 6, size of lhs = 2:
% 0.42/0.61 #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1), pppp8-{T}(V0,V1)
% 0.42/0.61 (used 0 times, uses = {})
% 0.42/0.61
% 0.42/0.61 #6: input, references = 5, size of lhs = 1:
% 0.42/0.61 pppp8-{F}(V0,V1) | EXISTS V2: pppp1-{T}(V0,V1,V2)
% 0.42/0.61 (used 0 times, uses = {})
% 0.42/0.61
% 0.42/0.61 #7: input, references = 5, size of lhs = 2:
% 0.42/0.61 pppp1-{F}(V0,V1,V2), in-{F}(V2,V1) | FALSE
% 0.42/0.61 (used 0 times, uses = {})
% 0.42/0.61
% 0.42/0.61 #8: input, references = 5, size of lhs = 1:
% 0.42/0.61 pppp1-{F}(V0,V1,V2) | in-{T}(V2,V0)
% 0.42/0.61 (used 0 times, uses = {})
% 0.42/0.61
% 0.42/0.61 #9: input, references = 5, size of lhs = 5:
% 0.42/0.61 P_ordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V3), P_singleton-{F}(V0,V4), P_unordered_pair-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.42/0.61 (used 0 times, uses = {})
% 0.42/0.61
% 0.42/0.61 #10: input, references = 3, size of lhs = 2:
% 0.42/0.61 P_ordered_pair-{F}(V0,V1,V2), empty-{F}(V2) | FALSE
% 0.42/0.61 (used 0 times, uses = {})
% 0.42/0.61
% 0.42/0.61 #11: input, references = 3, size of lhs = 0:
% 0.42/0.61 FALSE | EXISTS V0: pppp2-{T}(V0)
% 0.42/0.61 (used 0 times, uses = {})
% 0.42/0.61
% 0.42/0.61 #12: input, references = 3, size of lhs = 1:
% 0.42/0.61 pppp2-{F}(V0) | empty-{T}(V0)
% 0.42/0.61 (used 0 times, uses = {})
% 0.42/0.61
% 0.42/0.61 #13: input, references = 3, size of lhs = 0:
% 0.42/0.61 FALSE | EXISTS V0: pppp3-{T}(V0)
% 0.42/0.61 (used 0 times, uses = {})
% 0.42/0.61
% 0.42/0.61 #14: input, references = 3, size of lhs = 2:
% 0.42/0.61 pppp3-{F}(V0), empty-{F}(V0) | FALSE
% 0.42/0.61 (used 0 times, uses = {})
% 0.42/0.61
% 0.42/0.61 #15: input, references = 3, size of lhs = 1:
% 0.42/0.61 #-{F} V0 | subset-{T}(V0,V0)
% 0.42/0.61 (used 0 times, uses = {})
% 0.42/0.61
% 0.42/0.61 #16: input, references = 4, size of lhs = 0:
% 0.42/0.61 FALSE | EXISTS V0: pppp7-{T}(V0)
% 0.42/0.61 (used 0 times, uses = {})
% 0.42/0.61
% 0.42/0.61 #17: input, references = 4, size of lhs = 1:
% 0.42/0.61 pppp7-{F}(V0) | EXISTS V1: pppp6-{T}(V0,V1)
% 0.42/0.61 (used 0 times, uses = {})
% 0.42/0.61
% 0.42/0.61 #18: input, references = 4, size of lhs = 2:
% 0.42/0.61 pppp7-{F}(V0), in-{F}(V1,V0) | EXISTS V2: pppp5-{T}(V1,V2)
% 0.42/0.61 (used 0 times, uses = {})
% 0.42/0.61
% 0.42/0.61 #19: input, references = 4, size of lhs = 2:
% 0.42/0.61 pppp6-{F}(V0,V1), subset-{F}(V0,V1) | FALSE
% 0.42/0.61 (used 0 times, uses = {})
% 0.42/0.61
% 0.42/0.61 #20: input, references = 5, size of lhs = 3:
% 0.42/0.61 pppp6-{F}(V0,V1), P_ordered_pair-{F}(V2,V3,V4), in-{F}(V4,V0) | in-{T}(V4,V1)
% 0.42/0.61 (used 0 times, uses = {})
% 0.42/0.61
% 0.42/0.61 #21: input, references = 4, size of lhs = 1:
% 0.42/0.61 pppp5-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V0,V1,V2)
% 0.42/0.61 (used 0 times, uses = {})
% 0.42/0.61
% 0.42/0.61 #22: input, references = 4, size of lhs = 3:
% 0.42/0.61 pppp4-{F}(V0,V1,V2), P_ordered_pair-{F}(V1,V2,V3), V0 == V3 | FALSE
% 0.42/0.61 (used 0 times, uses = {})
% 0.42/0.61
% 0.42/0.61 #23: input, references = 5, size of lhs = 2:
% 0.42/0.61 #-{F} V0, #-{F} V1 | EXISTS V2: P_unordered_pair-{T}(V0,V1,V2)
% 0.42/0.61 (used 0 times, uses = {})
% 0.42/0.61
% 0.42/0.61 #24: input, references = 5, size of lhs = 2:
% 0.42/0.61 #-{F} V0, #-{F} V1 | EXISTS V2: P_ordered_pair-{T}(V0,V1,V2)
% 0.42/0.61 (used 0 times, uses = {})
% 0.42/0.61
% 0.42/0.61 #25: input, references = 3, size of lhs = 1:
% 0.42/0.61 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 0.42/0.61 (used 0 times, uses = {})
% 0.42/0.61
% 0.42/0.61 number of initial rules = 26
% 0.42/0.61
% 0.42/0.61 Simplifiers:
% 0.42/0.61 #26: unsound, references = 3, size of lhs = 3:
% 0.42/0.61 empty-{F}(V0), empty-{F}(V1), V0 == V1 | FALSE
% 0.42/0.61 (used 0 times, uses = {})
% 0.42/0.61
% 0.42/0.61 #27: unsound, references = 3, size of lhs = 3:
% 0.42/0.61 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.42/0.61 (used 0 times, uses = {})
% 0.42/0.61
% 0.42/0.61 #28: unsound, references = 3, size of lhs = 3:
% 0.42/0.61 P_ordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.42/0.61 (used 0 times, uses = {})
% 0.42/0.61
% 0.42/0.61 #29: unsound, references = 3, size of lhs = 3:
% 0.42/0.61 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 0.42/0.61 (used 0 times, uses = {})
% 0.42/0.61
% 0.42/0.61 #30: unsound, references = 3, size of lhs = 3:
% 0.42/0.61 pppp1-{F}(V0,V1,V2), pppp1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.42/0.61 (used 0 times, uses = {})
% 0.42/0.61
% 0.42/0.61 #31: unsound, references = 3, size of lhs = 3:
% 0.42/0.61 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 0.42/0.61 (used 0 times, uses = {})
% 0.42/0.61
% 0.42/0.61 #32: unsound, references = 3, size of lhs = 3:
% 0.42/0.61 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 0.42/0.61 (used 0 times, uses = {})
% 0.42/0.61
% 0.42/0.61 #33: unsound, references = 3, size of lhs = 3:
% 0.42/0.61 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.42/0.61 (used 0 times, uses = {})
% 0.42/0.61
% 0.42/0.61 #34: unsound, references = 3, size of lhs = 3:
% 0.42/0.61 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V4,V5), V1 == V4 | FALSE
% 0.42/0.61 (used 0 times, uses = {})
% 0.42/0.61
% 0.42/0.61 #35: unsound, references = 3, size of lhs = 3:
% 0.42/0.61 pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 0.42/0.61 (used 0 times, uses = {})
% 0.42/0.61
% 0.42/0.61 #36: unsound, references = 3, size of lhs = 3:
% 0.42/0.61 pppp6-{F}(V0,V1), pppp6-{F}(V0,V3), V1 == V3 | FALSE
% 0.42/0.61 (used 0 times, uses = {})
% 0.42/0.61
% 0.42/0.61 #37: unsound, references = 3, size of lhs = 3:
% 0.42/0.61 pppp6-{F}(V0,V1), pppp6-{F}(V2,V3), V0 == V2 | FALSE
% 0.42/0.61 (used 0 times, uses = {})
% 0.42/0.61
% 0.42/0.61 #38: unsound, references = 3, size of lhs = 3:
% 0.42/0.61 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 0.42/0.61 (used 0 times, uses = {})
% 0.42/0.61
% 0.42/0.61 number of simplifiers = 13
% 0.42/0.61
% 0.42/0.61 Learnt:
% 0.42/0.61 #40: exists( #24, #9 ), references = 1, size of lhs = 3:
% 0.42/0.61 P_singleton-{F}(V0,V1), P_unordered_pair-{F}(V0,V2,V3), P_unordered_pair-{F}(V3,V1,V4) | P_ordered_pair-{T}(V0,V2,V4)
% 0.42/0.61 (used 0 times, uses = {})
% 0.42/0.61
% 0.42/0.61 #42: exists( #23, #1 ), references = 2, size of lhs = 1:
% 0.42/0.61 P_unordered_pair-{F}(V0,V1,V2) | P_unordered_pair-{T}(V1,V0,V2)
% 0.42/0.61 (used 0 times, uses = {})
% 0.42/0.61
% 0.42/0.61 #46: exists( #23, #44 ), references = 1, size of lhs = 3:
% 0.42/0.61 P_singleton-{F}(V0,V1), P_ordered_pair-{F}(V0,V2,V3), P_unordered_pair-{F}(V0,V2,V4) | P_unordered_pair-{T}(V1,V4,V3)
% 0.42/0.61 (used 0 times, uses = {})
% 0.42/0.61
% 0.42/0.61 #55: exists( #6, #53 ), references = 1, size of lhs = 3:
% 0.42/0.61 pppp8-{F}(V0,V1), pppp0-{F}(V0,V2), pppp0-{F}(V2,V1) | FALSE
% 0.42/0.61 (used 0 times, uses = {})
% 0.42/0.61
% 0.42/0.61 #57: disj( #5, exists( #6, #53 ) ), references = 1, size of lhs = 2:
% 0.42/0.61 pppp8-{F}(V0,V1), pppp0-{F}(V2,V1) | pppp8-{T}(V0,V2)
% 0.42/0.61 (used 0 times, uses = {})
% 0.42/0.61
% 0.42/0.61 #68: disj( #5, #4+#0 ), references = 1, size of lhs = 1:
% 0.42/0.61 in-{F}(V0,V1) | pppp8-{T}(V1,V0)
% 0.42/0.61 (used 0 times, uses = {})
% 0.42/0.61
% 0.42/0.61 #85: exists( #24, #22 ), references = 1, size of lhs = 1:
% 0.42/0.61 pppp4-{F}(V0,V1,V2) | P_ordered_pair-{T}(V1,V2,V0)
% 0.42/0.61 (used 0 times, uses = {})
% 0.42/0.61
% 0.42/0.61 #92: exists( #21, #88 ), references = 1, size of lhs = 4:
% 0.42/0.61 pppp5-{F}(V0,V1), in-{F}(V0,V2), pppp6-{F}(V2,V3), pppp1-{F}(V4,V3,V0) | FALSE
% 0.42/0.61 (used 0 times, uses = {})
% 0.42/0.61
% 0.42/0.61 #93: exists( #21, #89 ), references = 1, size of lhs = 4:
% 0.42/0.61 pppp5-{F}(V0,V1), in-{F}(V0,V2), pppp6-{F}(V2,V3), in-{F}(V3,V0) | FALSE
% 0.42/0.61 (used 0 times, uses = {})
% 0.42/0.61
% 0.42/0.61 #95: exists( #18, #90 ), references = 1, size of lhs = 5:
% 0.42/0.61 pppp7-{F}(V0), in-{F}(V1,V0), in-{F}(V1,V2), pppp6-{F}(V2,V3), pppp1-{F}(V4,V3,V1) | FALSE
% 0.42/0.61 (used 0 times, uses = {})
% 0.42/0.61
% 0.42/0.61 #98: exists( #6, #96 ), references = 1, size of lhs = 3:
% 0.42/0.61 pppp7-{F}(V0), pppp8-{F}(V0,V1), pppp6-{F}(V0,V1) | FALSE
% 0.42/0.61 (used 0 times, uses = {})
% 0.42/0.61
% 0.42/0.61 #104: disj( #5, exists( #6, #96 ) ), references = 1, size of lhs = 2:
% 0.42/0.61 pppp7-{F}(V0), pppp6-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 0.42/0.61 (used 0 times, uses = {})
% 0.42/0.61
% 0.42/0.61 #108: exists( #17, #106 ), references = 1, size of lhs = 1:
% 0.42/0.61 pppp7-{F}(V0) | FALSE
% 0.42/0.61 (used 0 times, uses = {})
% 0.42/0.61
% 0.42/0.61 #110: exists( #16, #107 ), references = 1, size of lhs = 0:
% 0.42/0.61 FALSE | FALSE
% 0.42/0.61 (used 0 times, uses = {})
% 0.42/0.61
% 0.42/0.61 number of learnt formulas = 14
% 0.42/0.61
% 0.42/0.61
% 0.42/0.61 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.42/0.61
% 0.42/0.61 randbase = 1
%------------------------------------------------------------------------------