TSTP Solution File: SET907+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET907+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n015.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 06:16:55 EDT 2022
% Result : Theorem 1.95s 2.12s
% Output : Refutation 1.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET907+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 : n015.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 01:41:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.95/2.12 GeoParameters:
% 1.95/2.12
% 1.95/2.12 tptp_input = 1
% 1.95/2.12 tptp_output = 0
% 1.95/2.12 nonempty = 1
% 1.95/2.12 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.95/2.12 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.95/2.12
% 1.95/2.12
% 1.95/2.12 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.95/2.12 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.95/2.12
% 1.95/2.12 RuleSystem INPUT:
% 1.95/2.12
% 1.95/2.12 Initial Rules:
% 1.95/2.12 #0: input, references = 6, size of lhs = 2:
% 1.95/2.12 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 1.95/2.12 (used 0 times, uses = {})
% 1.95/2.12
% 1.95/2.12 #1: input, references = 4, size of lhs = 3:
% 1.95/2.12 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V1,V0,V3), V2 == V3 | FALSE
% 1.95/2.12 (used 0 times, uses = {})
% 1.95/2.12
% 1.95/2.12 #2: input, references = 4, size of lhs = 3:
% 1.95/2.12 P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V1,V0,V3), V2 == V3 | FALSE
% 1.95/2.12 (used 0 times, uses = {})
% 1.95/2.12
% 1.95/2.12 #3: input, references = 3, size of lhs = 2:
% 1.95/2.12 P_set_union2-{F}(V0,V1,V2), empty-{F}(V2) | empty-{T}(V0)
% 1.95/2.12 (used 0 times, uses = {})
% 1.95/2.12
% 1.95/2.12 #4: input, references = 3, size of lhs = 2:
% 1.95/2.12 P_set_union2-{F}(V1,V0,V2), empty-{F}(V2) | empty-{T}(V0)
% 1.95/2.12 (used 0 times, uses = {})
% 1.95/2.12
% 1.95/2.12 #5: input, references = 4, size of lhs = 2:
% 1.95/2.12 P_set_union2-{F}(V0,V0,V1), V1 == V0 | FALSE
% 1.95/2.12 (used 0 times, uses = {})
% 1.95/2.12
% 1.95/2.12 #6: input, references = 3, size of lhs = 0:
% 1.95/2.12 FALSE | EXISTS V0: pppp1-{T}(V0)
% 1.95/2.12 (used 0 times, uses = {})
% 1.95/2.12
% 1.95/2.12 #7: input, references = 3, size of lhs = 1:
% 1.95/2.12 pppp1-{F}(V0) | empty-{T}(V0)
% 1.95/2.12 (used 0 times, uses = {})
% 1.95/2.12
% 1.95/2.12 #8: input, references = 3, size of lhs = 0:
% 1.95/2.12 FALSE | EXISTS V0: pppp2-{T}(V0)
% 1.95/2.12 (used 0 times, uses = {})
% 1.95/2.12
% 1.95/2.12 #9: input, references = 3, size of lhs = 2:
% 1.95/2.12 pppp2-{F}(V0), empty-{F}(V0) | FALSE
% 1.95/2.12 (used 0 times, uses = {})
% 1.95/2.12
% 1.95/2.12 #10: input, references = 5, size of lhs = 1:
% 1.95/2.12 #-{F} V0 | subset-{T}(V0,V0)
% 1.95/2.12 (used 0 times, uses = {})
% 1.95/2.12
% 1.95/2.12 #11: input, references = 6, size of lhs = 3:
% 1.95/2.12 P_set_union2-{F}(V0,V1,V2), subset-{F}(V0,V1), V2 == V1 | FALSE
% 1.95/2.12 (used 0 times, uses = {})
% 1.95/2.12
% 1.95/2.12 #12: input, references = 5, size of lhs = 2:
% 1.95/2.12 P_unordered_pair-{F}(V0,V1,V3), subset-{F}(V3,V2) | pppp0-{T}(V0,V1,V2)
% 1.95/2.12 (used 0 times, uses = {})
% 1.95/2.12
% 1.95/2.12 #13: input, references = 7, size of lhs = 2:
% 1.95/2.12 P_unordered_pair-{F}(V0,V1,V3), pppp0-{F}(V0,V1,V2) | subset-{T}(V3,V2)
% 1.95/2.12 (used 0 times, uses = {})
% 1.95/2.12
% 1.95/2.12 #14: input, references = 4, size of lhs = 1:
% 1.95/2.12 pppp0-{F}(V0,V1,V2) | in-{T}(V0,V2)
% 1.95/2.12 (used 0 times, uses = {})
% 1.95/2.12
% 1.95/2.12 #15: input, references = 4, size of lhs = 1:
% 1.95/2.12 pppp0-{F}(V0,V1,V2) | in-{T}(V1,V2)
% 1.95/2.12 (used 0 times, uses = {})
% 1.95/2.12
% 1.95/2.12 #16: input, references = 6, size of lhs = 2:
% 1.95/2.12 in-{F}(V0,V2), in-{F}(V1,V2) | pppp0-{T}(V0,V1,V2)
% 1.95/2.12 (used 0 times, uses = {})
% 1.95/2.12
% 1.95/2.12 #17: input, references = 4, size of lhs = 0:
% 1.95/2.12 FALSE | EXISTS V0: pppp5-{T}(V0)
% 1.95/2.12 (used 0 times, uses = {})
% 1.95/2.12
% 1.95/2.12 #18: input, references = 4, size of lhs = 1:
% 1.95/2.12 pppp5-{F}(V0) | EXISTS V1: pppp4-{T}(V0,V1)
% 1.95/2.12 (used 0 times, uses = {})
% 1.95/2.12
% 1.95/2.12 #19: input, references = 4, size of lhs = 1:
% 1.95/2.12 pppp4-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V2,V0,V1)
% 1.95/2.12 (used 0 times, uses = {})
% 1.95/2.12
% 1.95/2.12 #20: input, references = 4, size of lhs = 1:
% 1.95/2.12 pppp4-{F}(V0,V1) | in-{T}(V1,V0)
% 1.95/2.12 (used 0 times, uses = {})
% 1.95/2.12
% 1.95/2.12 #21: input, references = 4, size of lhs = 3:
% 1.95/2.12 pppp3-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V2,V3), P_set_union2-{F}(V3,V1,V1) | FALSE
% 1.95/2.12 (used 0 times, uses = {})
% 1.95/2.12
% 1.95/2.12 #22: input, references = 7, size of lhs = 3:
% 1.95/2.12 pppp3-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V2,V3), P_set_union2-{F}(V3,V1,V4) | in-{T}(V0,V1)
% 1.95/2.12 (used 0 times, uses = {})
% 1.95/2.12
% 1.95/2.12 #23: input, references = 9, size of lhs = 2:
% 1.95/2.12 #-{F} V0, #-{F} V1 | EXISTS V2: P_unordered_pair-{T}(V0,V1,V2)
% 1.95/2.12 (used 0 times, uses = {})
% 1.95/2.12
% 1.95/2.12 #24: input, references = 8, size of lhs = 2:
% 1.95/2.12 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_union2-{T}(V0,V1,V2)
% 1.95/2.12 (used 0 times, uses = {})
% 1.95/2.12
% 1.95/2.12 number of initial rules = 25
% 1.95/2.12
% 1.95/2.12 Simplifiers:
% 1.95/2.12 #25: unsound, references = 3, size of lhs = 3:
% 1.95/2.12 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.95/2.12 (used 0 times, uses = {})
% 1.95/2.12
% 1.95/2.12 #26: unsound, references = 3, size of lhs = 3:
% 1.95/2.12 P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.95/2.12 (used 0 times, uses = {})
% 1.95/2.12
% 1.95/2.12 #27: unsound, references = 3, size of lhs = 3:
% 1.95/2.12 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 1.95/2.12 (used 0 times, uses = {})
% 1.95/2.12
% 1.95/2.12 #28: unsound, references = 3, size of lhs = 3:
% 1.95/2.12 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 1.95/2.12 (used 0 times, uses = {})
% 1.95/2.12
% 1.95/2.12 #29: unsound, references = 3, size of lhs = 3:
% 1.95/2.12 pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V1,V2), V0 == V3 | FALSE
% 1.95/2.12 (used 0 times, uses = {})
% 1.95/2.12
% 1.95/2.12 #30: unsound, references = 3, size of lhs = 3:
% 1.95/2.12 pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V1,V5), V2 == V5 | FALSE
% 1.95/2.12 (used 0 times, uses = {})
% 1.95/2.12
% 1.95/2.12 #31: unsound, references = 3, size of lhs = 3:
% 1.95/2.12 pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V4,V5), V1 == V4 | FALSE
% 1.95/2.12 (used 0 times, uses = {})
% 1.95/2.12
% 1.95/2.12 #32: unsound, references = 3, size of lhs = 3:
% 1.95/2.12 pppp4-{F}(V0,V1), pppp4-{F}(V0,V3), V1 == V3 | FALSE
% 1.95/2.12 (used 0 times, uses = {})
% 1.95/2.12
% 1.95/2.12 #33: unsound, references = 3, size of lhs = 3:
% 1.95/2.12 pppp4-{F}(V0,V1), pppp4-{F}(V2,V3), V0 == V2 | FALSE
% 1.95/2.12 (used 0 times, uses = {})
% 1.95/2.12
% 1.95/2.12 #34: unsound, references = 3, size of lhs = 3:
% 1.95/2.12 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 1.95/2.12 (used 0 times, uses = {})
% 1.95/2.12
% 1.95/2.12 number of simplifiers = 10
% 1.95/2.12
% 1.95/2.12 Learnt:
% 1.95/2.12 #37: exists( #24, #5 ), references = 1, size of lhs = 1:
% 1.95/2.12 #-{F} V0 | P_set_union2-{T}(V0,V0,V0)
% 1.95/2.12 (used 0 times, uses = {})
% 1.95/2.12
% 1.95/2.12 #38: exists( #24, #11 ), references = 3, size of lhs = 1:
% 1.95/2.12 subset-{F}(V0,V1) | P_set_union2-{T}(V0,V1,V1)
% 1.95/2.12 (used 0 times, uses = {})
% 1.95/2.12
% 1.95/2.12 #44: exists( #23, #1 ), references = 3, size of lhs = 1:
% 1.95/2.12 P_unordered_pair-{F}(V0,V1,V2) | P_unordered_pair-{T}(V1,V0,V2)
% 1.95/2.12 (used 0 times, uses = {})
% 1.95/2.12
% 1.95/2.12 #57: exists( #24, #2 ), references = 7, size of lhs = 1:
% 1.95/2.12 P_set_union2-{F}(V0,V1,V2) | P_set_union2-{T}(V1,V0,V2)
% 1.95/2.12 (used 0 times, uses = {})
% 1.95/2.12
% 1.95/2.12 #103: exists( #24, #101 ), references = 1, size of lhs = 3:
% 1.95/2.12 in-{F}(V0,V1), pppp3-{F}(V1,V0,V2), P_unordered_pair-{F}(V1,V2,V3) | FALSE
% 1.95/2.12 (used 0 times, uses = {})
% 1.95/2.12
% 1.95/2.12 #105: exists( #23, #102 ), references = 1, size of lhs = 2:
% 1.95/2.12 in-{F}(V0,V1), pppp3-{F}(V1,V0,V2) | FALSE
% 1.95/2.12 (used 0 times, uses = {})
% 1.95/2.12
% 1.95/2.12 #146: exists( #23, #140 ), references = 1, size of lhs = 2:
% 1.95/2.12 P_unordered_pair-{F}(V0,V0,V1), pppp3-{F}(V1,V1,V0) | FALSE
% 1.95/2.12 (used 0 times, uses = {})
% 1.95/2.12
% 1.95/2.12 #178: exists( #24, #172 ), references = 1, size of lhs = 2:
% 1.95/2.12 pppp3-{F}(V0,V0,V1), P_unordered_pair-{F}(V0,V1,V2) | FALSE
% 1.95/2.12 (used 0 times, uses = {})
% 1.95/2.12
% 1.95/2.12 #184: exists( #23, #175 ), references = 1, size of lhs = 1:
% 1.95/2.12 pppp3-{F}(V0,V0,V1) | FALSE
% 1.95/2.12 (used 0 times, uses = {})
% 1.95/2.12
% 1.95/2.12 #233: exists( #23, #231 ), references = 1, size of lhs = 2:
% 1.95/2.12 P_unordered_pair-{F}(V0,V0,V1), pppp0-{F}(V2,V0,V1) | P_unordered_pair-{T}(V2,V0,V1)
% 1.95/2.12 (used 0 times, uses = {})
% 1.95/2.12
% 1.95/2.12 #298: exists( #24, #296 ), references = 1, size of lhs = 4:
% 1.95/2.12 in-{F}(V0,V1), pppp3-{F}(V2,V1,V3), P_unordered_pair-{F}(V2,V3,V4), P_unordered_pair-{F}(V0,V2,V4) | P_set_union2-{T}(V1,V4,V1)
% 1.95/2.12 (used 0 times, uses = {})
% 1.95/2.12
% 1.95/2.12 #303: exists( #23, #301 ), references = 1, size of lhs = 2:
% 1.95/2.12 in-{F}(V0,V1), pppp3-{F}(V2,V1,V0) | FALSE
% 1.95/2.12 (used 0 times, uses = {})
% 1.95/2.12
% 1.95/2.12 #305: exists( #19, #302 ), references = 1, size of lhs = 2:
% 1.95/2.12 pppp4-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 1.95/2.12 (used 0 times, uses = {})
% 1.95/2.12
% 1.95/2.12 #308: exists( #18, #306 ), references = 1, size of lhs = 1:
% 1.95/2.12 pppp5-{F}(V0) | FALSE
% 1.95/2.12 (used 0 times, uses = {})
% 1.95/2.12
% 1.95/2.12 #310: exists( #17, #307 ), references = 1, size of lhs = 0:
% 1.95/2.12 FALSE | FALSE
% 1.95/2.12 (used 0 times, uses = {})
% 1.95/2.12
% 1.95/2.12 number of learnt formulas = 15
% 1.95/2.12
% 1.95/2.12
% 1.95/2.12 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.95/2.12
% 1.95/2.12 randbase = 1
%------------------------------------------------------------------------------