TSTP Solution File: SET880+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET880+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n021.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 0.49s 0.66s
% Output : Refutation 0.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET880+1 : TPTP v8.1.0. Released v3.2.0.
% 0.13/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n021.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 01:43:34 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.49/0.66 GeoParameters:
% 0.49/0.66
% 0.49/0.66 tptp_input = 1
% 0.49/0.66 tptp_output = 0
% 0.49/0.66 nonempty = 1
% 0.49/0.66 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.49/0.66 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.49/0.66
% 0.49/0.66
% 0.49/0.66 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.49/0.66 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.49/0.66
% 0.49/0.66 RuleSystem INPUT:
% 0.49/0.66
% 0.49/0.66 Initial Rules:
% 0.49/0.66 #0: input, references = 3, size of lhs = 2:
% 0.49/0.66 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 0.49/0.66 (used 0 times, uses = {})
% 0.49/0.66
% 0.49/0.66 #1: input, references = 5, size of lhs = 1:
% 0.49/0.66 P_singleton-{F}(V0,V2) | pppp0-{T}(V0,V2)
% 0.49/0.66 (used 0 times, uses = {})
% 0.49/0.66
% 0.49/0.66 #2: input, references = 3, size of lhs = 3:
% 0.49/0.66 P_singleton-{F}(V0,V2), pppp0-{F}(V0,V1), V1 == V2 | FALSE
% 0.49/0.66 (used 0 times, uses = {})
% 0.49/0.66
% 0.49/0.66 #3: input, references = 5, size of lhs = 3:
% 0.49/0.66 pppp0-{F}(V0,V1), in-{F}(V2,V1), V2 == V0 | FALSE
% 0.49/0.66 (used 0 times, uses = {})
% 0.49/0.66
% 0.49/0.66 #4: input, references = 4, size of lhs = 1:
% 0.49/0.66 pppp0-{F}(V0,V1) | in-{T}(V0,V1)
% 0.49/0.66 (used 0 times, uses = {})
% 0.49/0.66
% 0.49/0.66 #5: input, references = 5, size of lhs = 2:
% 0.49/0.66 #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1), pppp6-{T}(V0,V1)
% 0.49/0.66 (used 0 times, uses = {})
% 0.49/0.66
% 0.49/0.66 #6: input, references = 4, size of lhs = 1:
% 0.49/0.66 pppp6-{F}(V0,V1) | EXISTS V2: pppp1-{T}(V0,V1,V2)
% 0.49/0.66 (used 0 times, uses = {})
% 0.49/0.66
% 0.49/0.66 #7: input, references = 3, size of lhs = 2:
% 0.49/0.66 pppp1-{F}(V0,V1,V0), in-{F}(V0,V1) | FALSE
% 0.49/0.66 (used 0 times, uses = {})
% 0.49/0.66
% 0.49/0.66 #8: input, references = 4, size of lhs = 2:
% 0.49/0.66 pppp1-{F}(V0,V1,V2), V2 == V0 | in-{T}(V2,V1)
% 0.49/0.66 (used 0 times, uses = {})
% 0.49/0.66
% 0.49/0.66 #9: input, references = 3, size of lhs = 1:
% 0.49/0.66 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.49/0.66 (used 0 times, uses = {})
% 0.49/0.66
% 0.49/0.66 #10: input, references = 4, size of lhs = 3:
% 0.49/0.66 P_empty_set-{F}(V0), P_singleton-{F}(V1,V3), P_set_difference-{F}(V3,V2,V0) | in-{T}(V1,V2)
% 0.49/0.66 (used 0 times, uses = {})
% 0.49/0.66
% 0.49/0.66 #11: input, references = 4, size of lhs = 5:
% 0.49/0.66 P_empty_set-{F}(V0), P_singleton-{F}(V1,V3), P_set_difference-{F}(V3,V2,V4), in-{F}(V1,V2), V4 == V0 | FALSE
% 0.49/0.66 (used 0 times, uses = {})
% 0.49/0.66
% 0.49/0.66 #12: input, references = 3, size of lhs = 1:
% 0.49/0.66 P_empty_set-{F}(V0) | EXISTS V1: pppp2-{T}(V1)
% 0.49/0.66 (used 0 times, uses = {})
% 0.49/0.66
% 0.49/0.66 #13: input, references = 3, size of lhs = 1:
% 0.49/0.66 pppp2-{F}(V0) | empty-{T}(V0)
% 0.49/0.66 (used 0 times, uses = {})
% 0.49/0.66
% 0.49/0.66 #14: input, references = 3, size of lhs = 1:
% 0.49/0.66 P_empty_set-{F}(V0) | EXISTS V1: pppp3-{T}(V1)
% 0.49/0.66 (used 0 times, uses = {})
% 0.49/0.66
% 0.49/0.66 #15: input, references = 3, size of lhs = 2:
% 0.49/0.66 pppp3-{F}(V0), empty-{F}(V0) | FALSE
% 0.49/0.66 (used 0 times, uses = {})
% 0.49/0.66
% 0.49/0.66 #16: input, references = 4, size of lhs = 1:
% 0.49/0.66 P_empty_set-{F}(V0) | EXISTS V1: pppp5-{T}(V0,V1)
% 0.49/0.66 (used 0 times, uses = {})
% 0.49/0.66
% 0.49/0.66 #17: input, references = 4, size of lhs = 1:
% 0.49/0.66 pppp5-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V1,V2,V0)
% 0.49/0.66 (used 0 times, uses = {})
% 0.49/0.66
% 0.49/0.66 #18: input, references = 4, size of lhs = 4:
% 0.49/0.66 pppp4-{F}(V1,V1,V2), P_singleton-{F}(V1,V3), P_singleton-{F}(V1,V4), P_set_difference-{F}(V3,V4,V5) | FALSE
% 0.49/0.66 (used 0 times, uses = {})
% 0.49/0.66
% 0.49/0.66 #19: input, references = 4, size of lhs = 5:
% 0.49/0.66 pppp4-{F}(V0,V1,V2), P_singleton-{F}(V0,V3), P_singleton-{F}(V1,V4), P_set_difference-{F}(V3,V4,V5), V5 == V2 | FALSE
% 0.49/0.66 (used 0 times, uses = {})
% 0.49/0.66
% 0.49/0.66 #20: input, references = 5, size of lhs = 1:
% 0.49/0.66 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 0.49/0.66 (used 0 times, uses = {})
% 0.49/0.66
% 0.49/0.66 #21: input, references = 4, size of lhs = 0:
% 0.49/0.66 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 0.49/0.66 (used 0 times, uses = {})
% 0.49/0.66
% 0.49/0.66 #22: input, references = 5, size of lhs = 2:
% 0.49/0.66 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_difference-{T}(V0,V1,V2)
% 0.49/0.66 (used 0 times, uses = {})
% 0.49/0.66
% 0.49/0.66 number of initial rules = 23
% 0.49/0.66
% 0.49/0.66 Simplifiers:
% 0.49/0.66 #23: unsound, references = 3, size of lhs = 3:
% 0.49/0.66 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 0.49/0.66 (used 0 times, uses = {})
% 0.49/0.66
% 0.49/0.66 #24: unsound, references = 3, size of lhs = 3:
% 0.49/0.66 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 0.49/0.66 (used 0 times, uses = {})
% 0.49/0.66
% 0.49/0.66 #25: unsound, references = 3, size of lhs = 3:
% 0.49/0.66 P_set_difference-{F}(V0,V1,V2), P_set_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.49/0.66 (used 0 times, uses = {})
% 0.49/0.66
% 0.49/0.66 #26: unsound, references = 3, size of lhs = 3:
% 0.49/0.66 pppp1-{F}(V0,V1,V2), pppp1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.49/0.66 (used 0 times, uses = {})
% 0.49/0.66
% 0.49/0.66 #27: unsound, references = 3, size of lhs = 3:
% 0.49/0.66 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 0.49/0.66 (used 0 times, uses = {})
% 0.49/0.66
% 0.49/0.66 #28: unsound, references = 3, size of lhs = 3:
% 0.49/0.66 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 0.49/0.66 (used 0 times, uses = {})
% 0.49/0.66
% 0.49/0.66 #29: unsound, references = 3, size of lhs = 3:
% 0.49/0.66 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.49/0.66 (used 0 times, uses = {})
% 0.49/0.66
% 0.49/0.66 #30: unsound, references = 3, size of lhs = 3:
% 0.49/0.66 pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V4,V2), V0 == V3 | FALSE
% 0.49/0.66 (used 0 times, uses = {})
% 0.49/0.66
% 0.49/0.66 #31: unsound, references = 3, size of lhs = 3:
% 0.49/0.66 pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.49/0.66 (used 0 times, uses = {})
% 0.49/0.66
% 0.49/0.66 #32: unsound, references = 3, size of lhs = 3:
% 0.49/0.66 pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 0.49/0.66 (used 0 times, uses = {})
% 0.49/0.66
% 0.49/0.66 #33: unsound, references = 3, size of lhs = 3:
% 0.49/0.66 pppp5-{F}(V0,V1), pppp5-{F}(V2,V3), V0 == V2 | FALSE
% 0.49/0.66 (used 0 times, uses = {})
% 0.49/0.66
% 0.49/0.66 number of simplifiers = 11
% 0.49/0.66
% 0.49/0.66 Learnt:
% 0.49/0.66 #35: disj( #5, input ), references = 1, size of lhs = 3:
% 0.49/0.66 P_singleton-{F}(V0,V1), #-{F} V2, V2 == V1 | pppp6-{T}(V0,V2)
% 0.49/0.66 (used 0 times, uses = {})
% 0.49/0.66
% 0.49/0.66 #38: disj( #5, input ), references = 1, size of lhs = 3:
% 0.49/0.66 in-{F}(V0,V1), #-{F} V2, V0 == V2 | pppp6-{T}(V2,V1)
% 0.49/0.66 (used 0 times, uses = {})
% 0.49/0.66
% 0.49/0.66 #47: exists( #6, #45 ), references = 1, size of lhs = 2:
% 0.49/0.66 pppp6-{F}(V0,V1), pppp0-{F}(V2,V1) | pppp1-{T}(V0,V1,V0), pppp1-{T}(V0,V1,V2)
% 0.49/0.66 (used 0 times, uses = {})
% 0.49/0.66
% 0.49/0.66 #56: exists( #22, #11 ), references = 2, size of lhs = 3:
% 0.49/0.66 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), in-{F}(V1,V3) | P_set_difference-{T}(V2,V3,V0)
% 0.49/0.66 (used 0 times, uses = {})
% 0.49/0.66
% 0.49/0.66 #150: exists( #22, #19 ), references = 2, size of lhs = 3:
% 0.49/0.66 P_singleton-{F}(V0,V1), pppp4-{F}(V0,V2,V3), P_singleton-{F}(V2,V4) | P_set_difference-{T}(V1,V4,V3)
% 0.49/0.66 (used 0 times, uses = {})
% 0.49/0.66
% 0.49/0.66 #165: exists( #20, #163 ), references = 1, size of lhs = 5:
% 0.49/0.66 P_empty_set-{F}(V0), pppp4-{F}(V1,V2,V0), P_singleton-{F}(V1,V3), P_singleton-{F}(V4,V3), V4 == V2 | FALSE
% 0.49/0.66 (used 0 times, uses = {})
% 0.49/0.66
% 0.49/0.66 #167: exists( #17, #164 ), references = 1, size of lhs = 4:
% 0.49/0.66 P_empty_set-{F}(V0), pppp5-{F}(V0,V1), P_singleton-{F}(V1,V2), P_singleton-{F}(V3,V2) | pppp4-{T}(V1,V3,V0)
% 0.49/0.66 (used 0 times, uses = {})
% 0.49/0.66
% 0.49/0.66 #174: mergings( V2 == V3; #172 ), references = 1, size of lhs = 2:
% 0.49/0.66 P_empty_set-{F}(V0), pppp5-{F}(V0,V1) | FALSE
% 0.49/0.66 (used 0 times, uses = {})
% 0.49/0.66
% 0.49/0.66 #177: mergings( V2 == V0; #175 ), references = 1, size of lhs = 1:
% 0.49/0.66 P_empty_set-{F}(V0) | FALSE
% 0.49/0.66 (used 0 times, uses = {})
% 0.49/0.66
% 0.49/0.66 #179: exists( #21, #175 ), references = 1, size of lhs = 0:
% 0.49/0.66 FALSE | FALSE
% 0.49/0.66 (used 0 times, uses = {})
% 0.49/0.66
% 0.49/0.66 number of learnt formulas = 10
% 0.49/0.66
% 0.49/0.66
% 0.49/0.66 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.49/0.66
% 0.49/0.66 randbase = 1
%------------------------------------------------------------------------------