TSTP Solution File: SET886+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET886+1 : TPTP v8.1.0. Released v3.2.0.
% 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 06:16:54 EDT 2022
% Result : Theorem 0.18s 0.45s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET886+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % 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 : Sat Jul 23 02:56:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.45 GeoParameters:
% 0.18/0.45
% 0.18/0.45 tptp_input = 1
% 0.18/0.45 tptp_output = 0
% 0.18/0.45 nonempty = 1
% 0.18/0.45 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.18/0.45
% 0.18/0.45
% 0.18/0.45 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45
% 0.18/0.45 RuleSystem INPUT:
% 0.18/0.45
% 0.18/0.45 Initial Rules:
% 0.18/0.45 #0: input, references = 4, size of lhs = 3:
% 0.18/0.45 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V1,V0,V3), V2 == V3 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #1: input, references = 3, size of lhs = 0:
% 0.18/0.45 FALSE | EXISTS V0: pppp0-{T}(V0)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #2: input, references = 3, size of lhs = 1:
% 0.18/0.45 pppp0-{F}(V0) | empty-{T}(V0)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #3: input, references = 3, size of lhs = 0:
% 0.18/0.45 FALSE | EXISTS V0: pppp1-{T}(V0)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #4: input, references = 3, size of lhs = 2:
% 0.18/0.45 pppp1-{F}(V0), empty-{F}(V0) | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #5: input, references = 3, size of lhs = 1:
% 0.18/0.45 #-{F} V0 | subset-{T}(V0,V0)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #6: input, references = 4, size of lhs = 4:
% 0.18/0.45 P_singleton-{F}(V1,V2), P_unordered_pair-{F}(V0,V3,V4), subset-{F}(V4,V2), V0 == V1 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #7: input, references = 4, size of lhs = 0:
% 0.18/0.45 FALSE | EXISTS V0: pppp4-{T}(V0)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #8: input, references = 4, size of lhs = 1:
% 0.18/0.45 pppp4-{F}(V0) | EXISTS V1: pppp3-{T}(V0,V1)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #9: input, references = 5, size of lhs = 1:
% 0.18/0.45 pppp3-{F}(V0,V1) | EXISTS V2: pppp2-{T}(V0,V1,V2)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #10: input, references = 4, size of lhs = 3:
% 0.18/0.45 pppp2-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V4), P_singleton-{F}(V2,V4) | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #11: input, references = 4, size of lhs = 3:
% 0.18/0.45 pppp2-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V3), P_singleton-{F}(V2,V4) | subset-{T}(V3,V4)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #12: input, references = 4, size of lhs = 3:
% 0.18/0.45 P_unordered_pair-{F}(V0,V0,V1), P_singleton-{F}(V0,V2), V1 == V2 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #13: input, references = 6, size of lhs = 2:
% 0.18/0.45 #-{F} V0, #-{F} V1 | EXISTS V2: P_unordered_pair-{T}(V0,V1,V2)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #14: input, references = 6, size of lhs = 1:
% 0.18/0.45 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 number of initial rules = 15
% 0.18/0.45
% 0.18/0.45 Simplifiers:
% 0.18/0.45 #15: unsound, references = 3, size of lhs = 3:
% 0.18/0.45 empty-{F}(V0), empty-{F}(V1), V0 == V1 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #16: unsound, references = 3, size of lhs = 3:
% 0.18/0.45 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #17: unsound, references = 3, size of lhs = 3:
% 0.18/0.45 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #18: unsound, references = 3, size of lhs = 3:
% 0.18/0.45 pppp0-{F}(V0), pppp0-{F}(V1), V0 == V1 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #19: unsound, references = 3, size of lhs = 3:
% 0.18/0.45 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #20: unsound, references = 3, size of lhs = 3:
% 0.18/0.45 pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #21: unsound, references = 3, size of lhs = 3:
% 0.18/0.45 pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V4,V5), V1 == V4 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #22: unsound, references = 3, size of lhs = 3:
% 0.18/0.45 pppp2-{F}(V0,V1,V2), pppp2-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #23: unsound, references = 3, size of lhs = 3:
% 0.18/0.45 pppp3-{F}(V0,V1), pppp3-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #24: unsound, references = 3, size of lhs = 3:
% 0.18/0.45 pppp3-{F}(V0,V1), pppp3-{F}(V2,V3), V0 == V2 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #25: unsound, references = 3, size of lhs = 3:
% 0.18/0.45 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 number of simplifiers = 11
% 0.18/0.45
% 0.18/0.45 Learnt:
% 0.18/0.45 #27: exists( #13, #12 ), references = 3, size of lhs = 1:
% 0.18/0.45 P_singleton-{F}(V0,V1) | P_unordered_pair-{T}(V0,V0,V1)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #29: exists( #13, #0 ), references = 2, size of lhs = 1:
% 0.18/0.45 P_unordered_pair-{F}(V0,V1,V2) | P_unordered_pair-{T}(V1,V0,V2)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #38: exists( #14, #36 ), references = 3, size of lhs = 4:
% 0.18/0.45 pppp2-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V3), P_unordered_pair-{F}(V4,V5,V3), V4 == V2 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #40: exists( #9, #37 ), references = 1, size of lhs = 3:
% 0.18/0.45 pppp3-{F}(V0,V1), P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V3,V4,V2) | pppp2-{T}(V0,V1,V3)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #44: exists( #13, #42 ), references = 1, size of lhs = 2:
% 0.18/0.45 pppp3-{F}(V0,V1), V0 == V1 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #46: exists( #8, #43 ), references = 1, size of lhs = 1:
% 0.18/0.45 pppp4-{F}(V0) | pppp3-{T}(V0,V0)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #49: exists( #14, #47 ), references = 2, size of lhs = 1:
% 0.18/0.45 pppp2-{F}(V0,V0,V0) | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #52: exists( #14, #50 ), references = 1, size of lhs = 2:
% 0.18/0.45 pppp2-{F}(V0,V0,V1), V0 == V1 | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #54: exists( #9, #51 ), references = 1, size of lhs = 1:
% 0.18/0.45 pppp3-{F}(V0,V0) | pppp2-{T}(V0,V0,V0)
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 #58: exists( #7, #56 ), references = 1, size of lhs = 0:
% 0.18/0.45 FALSE | FALSE
% 0.18/0.45 (used 0 times, uses = {})
% 0.18/0.45
% 0.18/0.45 number of learnt formulas = 10
% 0.18/0.45
% 0.18/0.45
% 0.18/0.45 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45
% 0.18/0.45 randbase = 1
%------------------------------------------------------------------------------