TSTP Solution File: SET891+1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET891+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n012.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 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET891+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n012.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 02:14:37 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.51 GeoParameters:
% 0.19/0.51
% 0.19/0.51 tptp_input = 1
% 0.19/0.51 tptp_output = 0
% 0.19/0.51 nonempty = 1
% 0.19/0.51 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.51 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.19/0.51
% 0.19/0.51
% 0.19/0.51 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.51 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.51
% 0.19/0.51 RuleSystem INPUT:
% 0.19/0.51
% 0.19/0.51 Initial Rules:
% 0.19/0.51 #0: input, references = 4, size of lhs = 3:
% 0.19/0.51 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V1,V0,V3), V2 == V3 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #1: input, references = 3, size of lhs = 3:
% 0.19/0.51 P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V1,V0,V3), V2 == V3 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #2: input, references = 3, size of lhs = 2:
% 0.19/0.51 P_set_union2-{F}(V0,V1,V2), empty-{F}(V2) | empty-{T}(V0)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #3: input, references = 3, size of lhs = 2:
% 0.19/0.51 P_set_union2-{F}(V1,V0,V2), empty-{F}(V2) | empty-{T}(V0)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #4: input, references = 4, size of lhs = 2:
% 0.19/0.51 P_set_union2-{F}(V0,V0,V1), V1 == V0 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #5: input, references = 5, size of lhs = 4:
% 0.19/0.51 P_unordered_pair-{F}(V0,V1,V2), P_union-{F}(V2,V3), P_set_union2-{F}(V0,V1,V4), V3 == V4 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #6: input, references = 3, size of lhs = 0:
% 0.19/0.51 FALSE | EXISTS V0: pppp0-{T}(V0)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #7: input, references = 3, size of lhs = 1:
% 0.19/0.51 pppp0-{F}(V0) | empty-{T}(V0)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #8: input, references = 3, size of lhs = 0:
% 0.19/0.51 FALSE | EXISTS V0: pppp1-{T}(V0)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #9: input, references = 3, size of lhs = 2:
% 0.19/0.51 pppp1-{F}(V0), empty-{F}(V0) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #10: input, references = 4, size of lhs = 0:
% 0.19/0.51 FALSE | EXISTS V0: pppp3-{T}(V0)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #11: input, references = 4, size of lhs = 1:
% 0.19/0.51 pppp3-{F}(V0) | EXISTS V1: pppp2-{T}(V0,V1)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #12: input, references = 4, size of lhs = 6:
% 0.19/0.51 pppp2-{F}(V0,V1), P_singleton-{F}(V0,V2), P_singleton-{F}(V1,V3), P_unordered_pair-{F}(V2,V3,V4), P_union-{F}(V4,V6), P_unordered_pair-{F}(V0,V1,V6) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #13: input, references = 5, size of lhs = 5:
% 0.19/0.51 P_unordered_pair-{F}(V0,V1,V2), P_singleton-{F}(V0,V3), P_singleton-{F}(V1,V4), P_set_union2-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #14: input, references = 7, size of lhs = 2:
% 0.19/0.51 #-{F} V0, #-{F} V1 | EXISTS V2: P_unordered_pair-{T}(V0,V1,V2)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #15: input, references = 6, size of lhs = 2:
% 0.19/0.51 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_union2-{T}(V0,V1,V2)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #16: input, references = 4, size of lhs = 1:
% 0.19/0.51 #-{F} V0 | EXISTS V1: P_union-{T}(V0,V1)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #17: input, references = 5, size of lhs = 1:
% 0.19/0.51 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 number of initial rules = 18
% 0.19/0.51
% 0.19/0.51 Simplifiers:
% 0.19/0.51 #18: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #19: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #20: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 P_union-{F}(V0,V1), P_union-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #21: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #22: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 pppp0-{F}(V0), pppp0-{F}(V1), V0 == V1 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #23: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #24: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #25: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 pppp2-{F}(V0,V1), pppp2-{F}(V2,V3), V0 == V2 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #26: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 number of simplifiers = 9
% 0.19/0.51
% 0.19/0.51 Learnt:
% 0.19/0.51 #28: exists( #15, #4 ), references = 1, size of lhs = 1:
% 0.19/0.51 #-{F} V0 | P_set_union2-{T}(V0,V0,V0)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #30: exists( #15, #5 ), references = 1, size of lhs = 2:
% 0.19/0.51 P_union-{F}(V0,V1), P_unordered_pair-{F}(V2,V3,V0) | P_set_union2-{T}(V2,V3,V1)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #32: exists( #14, #13 ), references = 1, size of lhs = 3:
% 0.19/0.51 P_singleton-{F}(V0,V1), P_singleton-{F}(V2,V3), P_set_union2-{F}(V1,V3,V4) | P_unordered_pair-{T}(V0,V2,V4)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #37: exists( #15, #13 ), references = 2, size of lhs = 3:
% 0.19/0.51 P_singleton-{F}(V0,V1), P_unordered_pair-{F}(V0,V2,V3), P_singleton-{F}(V2,V4) | P_set_union2-{T}(V1,V4,V3)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #39: exists( #16, #5 ), references = 2, size of lhs = 2:
% 0.19/0.51 P_unordered_pair-{F}(V0,V1,V2), P_set_union2-{F}(V0,V1,V3) | P_union-{T}(V2,V3)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #47: exists( #14, #0 ), references = 1, size of lhs = 1:
% 0.19/0.51 P_unordered_pair-{F}(V0,V1,V2) | P_unordered_pair-{T}(V1,V0,V2)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #59: exists( #14, #57 ), references = 1, size of lhs = 5:
% 0.19/0.51 pppp2-{F}(V0,V1), P_singleton-{F}(V0,V2), P_singleton-{F}(V1,V3), P_unordered_pair-{F}(V0,V1,V4), P_set_union2-{F}(V2,V3,V4) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #62: exists( #14, #60 ), references = 1, size of lhs = 3:
% 0.19/0.51 P_singleton-{F}(V0,V1), pppp2-{F}(V0,V2), P_singleton-{F}(V2,V3) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #64: exists( #17, #61 ), references = 1, size of lhs = 2:
% 0.19/0.51 P_singleton-{F}(V0,V1), pppp2-{F}(V0,V2) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #66: exists( #11, #63 ), references = 1, size of lhs = 2:
% 0.19/0.51 pppp3-{F}(V0), P_singleton-{F}(V0,V1) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #68: exists( #17, #65 ), references = 1, size of lhs = 1:
% 0.19/0.51 pppp3-{F}(V0) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #70: exists( #10, #67 ), references = 1, size of lhs = 0:
% 0.19/0.51 FALSE | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 number of learnt formulas = 12
% 0.19/0.51
% 0.19/0.51
% 0.19/0.51 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.51
% 0.19/0.51 randbase = 1
%------------------------------------------------------------------------------