TSTP Solution File: SEU147+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU147+3 : TPTP v8.1.0. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n024.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 06:17:19 EDT 2022
% Result : Theorem 6.23s 6.43s
% Output : Refutation 6.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU147+3 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n024.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 : Fri Jul 22 18:33:41 EDT 2022
% 0.12/0.33 % CPUTime :
% 6.23/6.43 GeoParameters:
% 6.23/6.43
% 6.23/6.43 tptp_input = 1
% 6.23/6.43 tptp_output = 0
% 6.23/6.43 nonempty = 1
% 6.23/6.43 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.23/6.43 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 6.23/6.43
% 6.23/6.43
% 6.23/6.43 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.23/6.43 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.23/6.43
% 6.23/6.43 RuleSystem INPUT:
% 6.23/6.43
% 6.23/6.43 Initial Rules:
% 6.23/6.43 #0: input, references = 6, size of lhs = 2:
% 6.23/6.43 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 #1: input, references = 4, size of lhs = 1:
% 6.23/6.43 P_singleton-{F}(V0,V2) | pppp0-{T}(V0,V2)
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 #2: input, references = 3, size of lhs = 3:
% 6.23/6.43 P_singleton-{F}(V0,V2), pppp0-{F}(V0,V1), V1 == V2 | FALSE
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 #3: input, references = 7, size of lhs = 3:
% 6.23/6.43 pppp0-{F}(V0,V1), in-{F}(V2,V1), V2 == V0 | FALSE
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 #4: input, references = 4, size of lhs = 1:
% 6.23/6.43 pppp0-{F}(V0,V1) | in-{T}(V0,V1)
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 #5: input, references = 5, size of lhs = 2:
% 6.23/6.43 #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1), pppp7-{T}(V0,V1)
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 #6: input, references = 5, size of lhs = 1:
% 6.23/6.43 pppp7-{F}(V0,V1) | EXISTS V2: pppp2-{T}(V0,V1,V2)
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 #7: input, references = 3, size of lhs = 2:
% 6.23/6.43 pppp2-{F}(V0,V1,V0), in-{F}(V0,V1) | FALSE
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 #8: input, references = 5, size of lhs = 2:
% 6.23/6.43 pppp2-{F}(V0,V1,V2), V2 == V0 | in-{T}(V2,V1)
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 #9: input, references = 3, size of lhs = 1:
% 6.23/6.43 P_powerset-{F}(V0,V2) | pppp1-{T}(V0,V2)
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 #10: input, references = 3, size of lhs = 3:
% 6.23/6.43 P_powerset-{F}(V0,V2), pppp1-{F}(V0,V1), V1 == V2 | FALSE
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 #11: input, references = 6, size of lhs = 2:
% 6.23/6.43 pppp1-{F}(V0,V1), in-{F}(V2,V1) | subset-{T}(V2,V0)
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 #12: input, references = 7, size of lhs = 2:
% 6.23/6.43 pppp1-{F}(V0,V1), subset-{F}(V2,V0) | in-{T}(V2,V1)
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 #13: input, references = 5, size of lhs = 2:
% 6.23/6.43 #-{F} V0, #-{F} V1 | pppp1-{T}(V0,V1), pppp8-{T}(V0,V1)
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 #14: input, references = 8, size of lhs = 1:
% 6.23/6.43 pppp8-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V0,V1,V2)
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 #15: input, references = 5, size of lhs = 3:
% 6.23/6.43 pppp3-{F}(V0,V1,V2), subset-{F}(V2,V0), in-{F}(V2,V1) | FALSE
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 #16: input, references = 5, size of lhs = 1:
% 6.23/6.43 pppp3-{F}(V0,V1,V2) | in-{T}(V2,V1), subset-{T}(V2,V0)
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 #17: input, references = 3, size of lhs = 1:
% 6.23/6.43 P_empty_set-{F}(V0) | empty-{T}(V0)
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 #18: input, references = 3, size of lhs = 1:
% 6.23/6.43 P_empty_set-{F}(V0) | EXISTS V1: pppp4-{T}(V1)
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 #19: input, references = 3, size of lhs = 1:
% 6.23/6.43 pppp4-{F}(V0) | empty-{T}(V0)
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 #20: input, references = 3, size of lhs = 1:
% 6.23/6.43 P_empty_set-{F}(V0) | EXISTS V1: pppp5-{T}(V1)
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 #21: input, references = 3, size of lhs = 2:
% 6.23/6.43 pppp5-{F}(V0), empty-{F}(V0) | FALSE
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 #22: input, references = 4, size of lhs = 2:
% 6.23/6.43 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 #23: input, references = 4, size of lhs = 3:
% 6.23/6.43 P_empty_set-{F}(V0), P_powerset-{F}(V0,V2), P_singleton-{F}(V0,V2) | FALSE
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 #24: input, references = 3, size of lhs = 6:
% 6.23/6.43 P_empty_set-{F}(V0), P_powerset-{F}(V0,V1), P_singleton-{F}(V0,V2), #-{F} V3, #-{F} V4, V3 == V4 | EXISTS V5: pppp6-{T}(V3,V4,V5)
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 #25: input, references = 3, size of lhs = 3:
% 6.23/6.43 pppp6-{F}(V0,V1,V2), in-{F}(V2,V1), in-{F}(V2,V0) | FALSE
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 #26: input, references = 3, size of lhs = 1:
% 6.23/6.43 pppp6-{F}(V0,V1,V2) | in-{T}(V2,V0), in-{T}(V2,V1)
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 #27: input, references = 6, size of lhs = 5:
% 6.23/6.43 P_empty_set-{F}(V0), P_powerset-{F}(V0,V1), P_singleton-{F}(V0,V2), subset-{F}(V3,V0), V3 == V0 | FALSE
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 #28: input, references = 5, size of lhs = 1:
% 6.23/6.43 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 #29: input, references = 5, size of lhs = 1:
% 6.23/6.43 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 #30: input, references = 4, size of lhs = 0:
% 6.23/6.43 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 number of initial rules = 31
% 6.23/6.43
% 6.23/6.43 Simplifiers:
% 6.23/6.43 #31: unsound, references = 3, size of lhs = 3:
% 6.23/6.43 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 #32: unsound, references = 3, size of lhs = 3:
% 6.23/6.43 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 #33: unsound, references = 3, size of lhs = 3:
% 6.23/6.43 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 #34: unsound, references = 3, size of lhs = 3:
% 6.23/6.43 pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 #35: unsound, references = 3, size of lhs = 3:
% 6.23/6.43 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 #36: unsound, references = 3, size of lhs = 3:
% 6.23/6.43 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 #37: unsound, references = 3, size of lhs = 3:
% 6.23/6.43 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 #38: unsound, references = 3, size of lhs = 3:
% 6.23/6.43 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V1,V5), V2 == V5 | FALSE
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 number of simplifiers = 8
% 6.23/6.43
% 6.23/6.43 Learnt:
% 6.23/6.43 #40: disj( #5, input ), references = 1, size of lhs = 3:
% 6.23/6.43 P_singleton-{F}(V0,V1), #-{F} V2, V2 == V1 | pppp7-{T}(V0,V2)
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 #43: disj( #13, #12+#0 ), references = 1, size of lhs = 1:
% 6.23/6.43 subset-{F}(V0,V1) | pppp8-{T}(V1,V0)
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 #54: disj( #16, #12+#0 ), references = 1, size of lhs = 2:
% 6.23/6.43 pppp1-{F}(V0,V1), pppp3-{F}(V0,V2,V1) | in-{T}(V1,V2)
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 #55: disj( #16, #12+#3 ), references = 4, size of lhs = 4:
% 6.23/6.43 pppp1-{F}(V0,V1), pppp0-{F}(V2,V1), pppp3-{F}(V0,V3,V4), V4 == V2 | in-{T}(V4,V3)
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 #56: disj( #16, #12+#15 ), references = 1, size of lhs = 4:
% 6.23/6.43 pppp1-{F}(V0,V1), pppp3-{F}(V0,V2,V3), subset-{F}(V3,V4), pppp3-{F}(V4,V1,V3) | in-{T}(V3,V2)
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 #60: disj( #5, input ), references = 1, size of lhs = 3:
% 6.23/6.43 in-{F}(V0,V1), #-{F} V2, V0 == V2 | pppp7-{T}(V2,V1)
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 #63: disj( #13, input ), references = 2, size of lhs = 3:
% 6.23/6.43 P_powerset-{F}(V0,V1), #-{F} V2, V2 == V1 | pppp8-{T}(V0,V2)
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 #75: disj( #16, input ), references = 1, size of lhs = 5:
% 6.23/6.43 P_empty_set-{F}(V0), P_powerset-{F}(V0,V1), P_singleton-{F}(V0,V2), pppp3-{F}(V0,V3,V4), V4 == V0 | in-{T}(V4,V3)
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 #80: exists( #29, #76 ), references = 1, size of lhs = 5:
% 6.23/6.43 P_empty_set-{F}(V0), P_singleton-{F}(V0,V1), pppp3-{F}(V0,V2,V3), V3 == V0, in-{F}(V2,V3) | FALSE
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 #81: exists( #29, #77 ), references = 1, size of lhs = 6:
% 6.23/6.43 P_empty_set-{F}(V0), P_singleton-{F}(V0,V1), pppp0-{F}(V2,V3), pppp3-{F}(V0,V3,V4), V4 == V0, V4 == V2 | FALSE
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 #85: exists( #28, #79 ), references = 2, size of lhs = 5:
% 6.23/6.43 P_empty_set-{F}(V0), pppp0-{F}(V1,V2), pppp3-{F}(V0,V2,V3), V3 == V0, V3 == V1 | FALSE
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 #87: exists( #14, #84 ), references = 1, size of lhs = 3:
% 6.23/6.43 P_empty_set-{F}(V0), pppp8-{F}(V0,V1), pppp0-{F}(V2,V1) | pppp3-{T}(V0,V1,V0), pppp3-{T}(V0,V1,V2)
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 #111: exists( #6, #109 ), references = 1, size of lhs = 2:
% 6.23/6.43 pppp7-{F}(V0,V1), pppp0-{F}(V2,V1) | pppp2-{T}(V0,V1,V0), pppp2-{T}(V0,V1,V2)
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 #186: exists( #14, #184 ), references = 1, size of lhs = 4:
% 6.23/6.43 pppp8-{F}(V0,V1), pppp1-{F}(V0,V2), pppp0-{F}(V3,V2), pppp0-{F}(V4,V1) | pppp3-{T}(V0,V1,V3), pppp3-{T}(V0,V1,V4)
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 #234: exists( #6, #232 ), references = 1, size of lhs = 5:
% 6.23/6.43 P_empty_set-{F}(V0), pppp1-{F}(V0,V1), pppp7-{F}(V2,V1), P_powerset-{F}(V0,V3), P_singleton-{F}(V0,V4) | pppp2-{T}(V2,V1,V2), pppp2-{T}(V2,V1,V0)
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 #382: exists( #14, #380 ), references = 1, size of lhs = 7:
% 6.23/6.43 P_empty_set-{F}(V0), pppp1-{F}(V0,V1), pppp8-{F}(V2,V1), P_powerset-{F}(V0,V3), P_singleton-{F}(V0,V4), pppp1-{F}(V2,V5), pppp0-{F}(V6,V5) | pppp3-{T}(V2,V1,V6), pppp3-{T}(V2,V1,V0)
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 #2143: exists( #14, #2141 ), references = 1, size of lhs = 7:
% 6.23/6.43 P_empty_set-{F}(V0), pppp1-{F}(V0,V1), pppp8-{F}(V2,V1), P_powerset-{F}(V0,V3), P_singleton-{F}(V0,V4), pppp1-{F}(V2,V5), pppp0-{F}(V6,V5) | pppp3-{T}(V2,V1,V6), pppp3-{T}(V2,V1,V0)
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 #2393: disj( #2390, input ), references = 1, size of lhs = 5:
% 6.23/6.43 P_empty_set-{F}(V0), subset-{F}(V0,V0), pppp8-{F}(V0,V1), in-{F}(V0,V1), pppp0-{F}(V2,V1) | pppp3-{T}(V0,V1,V2)
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 #2397: exists( #29, #2395 ), references = 1, size of lhs = 6:
% 6.23/6.43 P_empty_set-{F}(V0), subset-{F}(V0,V0), in-{F}(V0,V1), pppp0-{F}(V2,V1), subset-{F}(V2,V0), in-{F}(V2,V1) | P_powerset-{T}(V0,V1)
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 #2402: exists( #28, #2400 ), references = 1, size of lhs = 2:
% 6.23/6.43 P_empty_set-{F}(V0), subset-{F}(V0,V0) | FALSE
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 #2405: exists( #30, #2403 ), references = 1, size of lhs = 0:
% 6.23/6.43 FALSE | FALSE
% 6.23/6.43 (used 0 times, uses = {})
% 6.23/6.43
% 6.23/6.43 number of learnt formulas = 21
% 6.23/6.43
% 6.23/6.43
% 6.23/6.43 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.23/6.43
% 6.23/6.43 randbase = 1
%------------------------------------------------------------------------------