TSTP Solution File: SET874+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET874+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n007.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 06:16:53 EDT 2022
% Result : Theorem 0.82s 0.99s
% Output : Refutation 0.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET874+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n007.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sat Jul 23 02:33:57 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.82/0.99 GeoParameters:
% 0.82/0.99
% 0.82/0.99 tptp_input = 1
% 0.82/0.99 tptp_output = 0
% 0.82/0.99 nonempty = 1
% 0.82/0.99 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.82/0.99 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.82/0.99
% 0.82/0.99
% 0.82/0.99 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.82/0.99 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.82/0.99
% 0.82/0.99 RuleSystem INPUT:
% 0.82/0.99
% 0.82/0.99 Initial Rules:
% 0.82/0.99 #0: input, references = 3, size of lhs = 2:
% 0.82/0.99 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 0.82/0.99 (used 0 times, uses = {})
% 0.82/0.99
% 0.82/0.99 #1: input, references = 4, size of lhs = 3:
% 0.82/0.99 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V1,V0,V3), V2 == V3 | FALSE
% 0.82/0.99 (used 0 times, uses = {})
% 0.82/0.99
% 0.82/0.99 #2: input, references = 4, size of lhs = 3:
% 0.82/0.99 P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V1,V0,V3), V2 == V3 | FALSE
% 0.82/0.99 (used 0 times, uses = {})
% 0.82/0.99
% 0.82/0.99 #3: input, references = 4, size of lhs = 1:
% 0.82/0.99 P_unordered_pair-{F}(V0,V1,V3) | pppp1-{T}(V0,V1,V3)
% 0.82/0.99 (used 0 times, uses = {})
% 0.82/0.99
% 0.82/0.99 #4: input, references = 3, size of lhs = 3:
% 0.82/0.99 P_unordered_pair-{F}(V0,V1,V3), pppp1-{F}(V0,V1,V2), V2 == V3 | FALSE
% 0.82/0.99 (used 0 times, uses = {})
% 0.82/0.99
% 0.82/0.99 #5: input, references = 3, size of lhs = 2:
% 0.82/0.99 pppp1-{F}(V0,V1,V2), in-{F}(V3,V2) | pppp0-{T}(V0,V1,V3)
% 0.82/0.99 (used 0 times, uses = {})
% 0.82/0.99
% 0.82/0.99 #6: input, references = 4, size of lhs = 2:
% 0.82/0.99 pppp1-{F}(V0,V1,V2), pppp0-{F}(V0,V1,V3) | in-{T}(V3,V2)
% 0.82/0.99 (used 0 times, uses = {})
% 0.82/0.99
% 0.82/0.99 #7: input, references = 4, size of lhs = 3:
% 0.82/0.99 #-{F} V0, #-{F} V1, #-{F} V2 | pppp1-{T}(V0,V1,V2), pppp7-{T}(V0,V1,V2)
% 0.82/0.99 (used 0 times, uses = {})
% 0.82/0.99
% 0.82/0.99 #8: input, references = 3, size of lhs = 1:
% 0.82/0.99 pppp7-{F}(V0,V1,V2) | EXISTS V3: pppp2-{T}(V0,V1,V2,V3)
% 0.82/0.99 (used 0 times, uses = {})
% 0.82/0.99
% 0.82/0.99 #9: input, references = 3, size of lhs = 3:
% 0.82/0.99 pppp2-{F}(V0,V1,V2,V3), pppp0-{F}(V0,V1,V3), in-{F}(V3,V2) | FALSE
% 0.82/0.99 (used 0 times, uses = {})
% 0.82/0.99
% 0.82/0.99 #10: input, references = 3, size of lhs = 1:
% 0.82/0.99 pppp2-{F}(V0,V1,V2,V3) | in-{T}(V3,V2), pppp0-{T}(V0,V1,V3)
% 0.82/0.99 (used 0 times, uses = {})
% 0.82/0.99
% 0.82/0.99 #11: input, references = 3, size of lhs = 3:
% 0.82/0.99 pppp0-{F}(V0,V1,V2), V2 == V0, V2 == V1 | FALSE
% 0.82/0.99 (used 0 times, uses = {})
% 0.82/0.99
% 0.82/0.99 #12: input, references = 4, size of lhs = 2:
% 0.82/0.99 #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1,V0)
% 0.82/0.99 (used 0 times, uses = {})
% 0.82/0.99
% 0.82/0.99 #13: input, references = 3, size of lhs = 2:
% 0.82/0.99 #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1,V1)
% 0.82/0.99 (used 0 times, uses = {})
% 0.82/0.99
% 0.82/0.99 #14: input, references = 3, size of lhs = 2:
% 0.82/0.99 P_set_union2-{F}(V0,V1,V2), empty-{F}(V2) | empty-{T}(V0)
% 0.82/0.99 (used 0 times, uses = {})
% 0.82/0.99
% 0.82/0.99 #15: input, references = 3, size of lhs = 2:
% 0.82/0.99 P_set_union2-{F}(V1,V0,V2), empty-{F}(V2) | empty-{T}(V0)
% 0.82/0.99 (used 0 times, uses = {})
% 0.82/0.99
% 0.82/0.99 #16: input, references = 4, size of lhs = 2:
% 0.82/0.99 P_set_union2-{F}(V0,V0,V1), V1 == V0 | FALSE
% 0.82/0.99 (used 0 times, uses = {})
% 0.82/0.99
% 0.82/0.99 #17: input, references = 4, size of lhs = 4:
% 0.82/0.99 P_singleton-{F}(V0,V2), P_set_union2-{F}(V2,V1,V3), in-{F}(V0,V1), V3 == V1 | FALSE
% 0.82/0.99 (used 0 times, uses = {})
% 0.82/0.99
% 0.82/0.99 #18: input, references = 3, size of lhs = 0:
% 0.82/0.99 FALSE | EXISTS V0: pppp3-{T}(V0)
% 0.82/0.99 (used 0 times, uses = {})
% 0.82/0.99
% 0.82/0.99 #19: input, references = 3, size of lhs = 1:
% 0.82/0.99 pppp3-{F}(V0) | empty-{T}(V0)
% 0.82/0.99 (used 0 times, uses = {})
% 0.82/0.99
% 0.82/0.99 #20: input, references = 3, size of lhs = 0:
% 0.82/0.99 FALSE | EXISTS V0: pppp4-{T}(V0)
% 0.82/0.99 (used 0 times, uses = {})
% 0.82/0.99
% 0.82/0.99 #21: input, references = 3, size of lhs = 2:
% 0.82/0.99 pppp4-{F}(V0), empty-{F}(V0) | FALSE
% 0.82/0.99 (used 0 times, uses = {})
% 0.82/0.99
% 0.82/0.99 #22: input, references = 4, size of lhs = 0:
% 0.82/0.99 FALSE | EXISTS V0: pppp6-{T}(V0)
% 0.82/0.99 (used 0 times, uses = {})
% 0.82/0.99
% 0.82/0.99 #23: input, references = 4, size of lhs = 1:
% 0.82/0.99 pppp6-{F}(V0) | EXISTS V1: pppp5-{T}(V0,V1)
% 0.82/0.99 (used 0 times, uses = {})
% 0.82/0.99
% 0.82/0.99 #24: input, references = 4, size of lhs = 4:
% 0.82/0.99 pppp5-{F}(V0,V1), P_singleton-{F}(V0,V2), P_unordered_pair-{F}(V0,V1,V3), P_set_union2-{F}(V2,V3,V3) | FALSE
% 0.82/0.99 (used 0 times, uses = {})
% 0.82/0.99
% 0.82/0.99 #25: input, references = 5, size of lhs = 2:
% 0.82/0.99 #-{F} V0, #-{F} V1 | EXISTS V2: P_unordered_pair-{T}(V0,V1,V2)
% 0.82/0.99 (used 0 times, uses = {})
% 0.82/0.99
% 0.82/0.99 #26: input, references = 6, size of lhs = 2:
% 0.82/0.99 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_union2-{T}(V0,V1,V2)
% 0.82/0.99 (used 0 times, uses = {})
% 0.82/0.99
% 0.82/0.99 #27: input, references = 4, size of lhs = 1:
% 0.82/0.99 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 0.82/0.99 (used 0 times, uses = {})
% 0.82/0.99
% 0.82/0.99 number of initial rules = 28
% 0.82/0.99
% 0.82/0.99 Simplifiers:
% 0.82/0.99 #28: unsound, references = 3, size of lhs = 3:
% 0.82/0.99 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.82/0.99 (used 0 times, uses = {})
% 0.82/0.99
% 0.82/0.99 #29: unsound, references = 3, size of lhs = 3:
% 0.82/0.99 P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.82/0.99 (used 0 times, uses = {})
% 0.82/0.99
% 0.82/0.99 #30: unsound, references = 3, size of lhs = 3:
% 0.82/0.99 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 0.82/0.99 (used 0 times, uses = {})
% 0.82/0.99
% 0.82/0.99 #31: unsound, references = 3, size of lhs = 3:
% 0.82/0.99 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.82/0.99 (used 0 times, uses = {})
% 0.82/0.99
% 0.82/0.99 #32: unsound, references = 3, size of lhs = 3:
% 0.82/0.99 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 0.82/0.99 (used 0 times, uses = {})
% 0.82/0.99
% 0.82/0.99 #33: unsound, references = 3, size of lhs = 3:
% 0.82/0.99 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 0.82/0.99 (used 0 times, uses = {})
% 0.82/0.99
% 0.82/0.99 #34: unsound, references = 3, size of lhs = 3:
% 0.82/0.99 pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 0.82/0.99 (used 0 times, uses = {})
% 0.82/0.99
% 0.82/0.99 #35: unsound, references = 3, size of lhs = 3:
% 0.82/0.99 pppp5-{F}(V0,V1), pppp5-{F}(V2,V3), V0 == V2 | FALSE
% 0.82/0.99 (used 0 times, uses = {})
% 0.82/0.99
% 0.82/0.99 #36: unsound, references = 3, size of lhs = 3:
% 0.82/0.99 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 0.82/0.99 (used 0 times, uses = {})
% 0.82/0.99
% 0.82/0.99 number of simplifiers = 9
% 0.82/0.99
% 0.82/0.99 Learnt:
% 0.82/0.99 #38: exists( #26, #16 ), references = 1, size of lhs = 1:
% 0.82/0.99 #-{F} V0 | P_set_union2-{T}(V0,V0,V0)
% 0.82/0.99 (used 0 times, uses = {})
% 0.82/0.99
% 0.82/0.99 #40: disj( #7, input ), references = 1, size of lhs = 3:
% 0.82/0.99 P_unordered_pair-{F}(V0,V1,V2), #-{F} V3, V3 == V2 | pppp7-{T}(V0,V1,V3)
% 0.82/0.99 (used 0 times, uses = {})
% 0.82/0.99
% 0.82/0.99 #48: exists( #25, #1 ), references = 1, size of lhs = 1:
% 0.82/0.99 P_unordered_pair-{F}(V0,V1,V2) | P_unordered_pair-{T}(V1,V0,V2)
% 0.82/0.99 (used 0 times, uses = {})
% 0.82/0.99
% 0.82/0.99 #52: exists( #26, #2 ), references = 1, size of lhs = 1:
% 0.82/0.99 P_set_union2-{F}(V0,V1,V2) | P_set_union2-{T}(V1,V0,V2)
% 0.82/0.99 (used 0 times, uses = {})
% 0.82/0.99
% 0.82/0.99 #66: exists( #26, #17 ), references = 2, size of lhs = 2:
% 0.82/0.99 P_singleton-{F}(V0,V1), in-{F}(V0,V2) | P_set_union2-{T}(V1,V2,V2)
% 0.82/0.99 (used 0 times, uses = {})
% 0.82/0.99
% 0.82/0.99 #104: exists( #25, #102 ), references = 2, size of lhs = 4:
% 0.82/0.99 P_singleton-{F}(V0,V1), pppp5-{F}(V0,V2), pppp0-{F}(V0,V2,V3), P_singleton-{F}(V3,V1) | FALSE
% 0.82/0.99 (used 0 times, uses = {})
% 0.82/0.99
% 0.82/0.99 #107: exists( #23, #105 ), references = 1, size of lhs = 2:
% 0.82/0.99 pppp6-{F}(V0), P_singleton-{F}(V0,V1) | FALSE
% 0.82/0.99 (used 0 times, uses = {})
% 0.82/0.99
% 0.82/0.99 #109: exists( #27, #106 ), references = 1, size of lhs = 1:
% 0.82/0.99 pppp6-{F}(V0) | FALSE
% 0.82/0.99 (used 0 times, uses = {})
% 0.82/0.99
% 0.82/0.99 #111: exists( #22, #108 ), references = 1, size of lhs = 0:
% 0.82/0.99 FALSE | FALSE
% 0.82/0.99 (used 0 times, uses = {})
% 0.82/0.99
% 0.82/0.99 number of learnt formulas = 9
% 0.82/0.99
% 0.82/0.99
% 0.82/0.99 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.82/0.99
% 0.82/0.99 randbase = 1
%------------------------------------------------------------------------------