TSTP Solution File: SET923+1 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET923+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 06:16:57 EDT 2022
% Result : Theorem 0.12s 0.37s
% Output : Refutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET923+1 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n007.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 02:39:57 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.37 GeoParameters:
% 0.12/0.37
% 0.12/0.37 tptp_input = 1
% 0.12/0.37 tptp_output = 0
% 0.12/0.37 nonempty = 1
% 0.12/0.37 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.12/0.37
% 0.12/0.37
% 0.12/0.37 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37
% 0.12/0.37 RuleSystem INPUT:
% 0.12/0.37
% 0.12/0.37 Initial Rules:
% 0.12/0.37 #0: input, references = 3, size of lhs = 1:
% 0.12/0.37 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #1: input, references = 4, size of lhs = 3:
% 0.12/0.37 P_empty_set-{F}(V0), P_singleton-{F}(V2,V3), subset-{F}(V1,V3) | pppp0-{T}(V1,V2)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #2: input, references = 3, size of lhs = 3:
% 0.12/0.37 P_empty_set-{F}(V0), P_singleton-{F}(V2,V3), pppp0-{F}(V1,V2) | subset-{T}(V1,V3)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #3: input, references = 4, size of lhs = 5:
% 0.12/0.37 P_empty_set-{F}(V0), P_singleton-{F}(V2,V3), pppp0-{F}(V1,V2), V1 == V0, V1 == V3 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #4: input, references = 3, size of lhs = 2:
% 0.12/0.37 P_empty_set-{F}(V0), P_singleton-{F}(V2,V3) | pppp0-{T}(V0,V2)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #5: input, references = 3, size of lhs = 2:
% 0.12/0.37 P_empty_set-{F}(V0), P_singleton-{F}(V2,V3) | pppp0-{T}(V3,V2)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #6: input, references = 3, size of lhs = 1:
% 0.12/0.37 P_empty_set-{F}(V0) | EXISTS V1: pppp1-{T}(V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #7: input, references = 3, size of lhs = 1:
% 0.12/0.37 pppp1-{F}(V0) | empty-{T}(V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #8: input, references = 3, size of lhs = 1:
% 0.12/0.37 P_empty_set-{F}(V0) | EXISTS V1: pppp2-{T}(V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #9: input, references = 3, size of lhs = 2:
% 0.12/0.37 pppp2-{F}(V0), empty-{F}(V0) | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #10: input, references = 4, size of lhs = 2:
% 0.12/0.37 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #11: input, references = 4, size of lhs = 2:
% 0.12/0.37 P_empty_set-{F}(V0), P_set_difference-{F}(V1,V2,V0) | subset-{T}(V1,V2)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #12: input, references = 4, size of lhs = 4:
% 0.12/0.37 P_empty_set-{F}(V0), P_set_difference-{F}(V1,V2,V3), subset-{F}(V1,V2), V3 == V0 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #13: input, references = 4, size of lhs = 1:
% 0.12/0.37 P_empty_set-{F}(V0) | EXISTS V1: pppp4-{T}(V1,V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #14: input, references = 4, size of lhs = 1:
% 0.12/0.37 pppp4-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V0,V2,V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #15: input, references = 4, size of lhs = 1:
% 0.12/0.37 pppp4-{F}(V1,V1) | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #16: input, references = 4, size of lhs = 3:
% 0.12/0.37 pppp3-{F}(V3,V1,V2), P_singleton-{F}(V1,V3), P_set_difference-{F}(V3,V3,V4) | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #17: input, references = 4, size of lhs = 4:
% 0.12/0.37 pppp3-{F}(V0,V1,V2), P_singleton-{F}(V1,V3), P_set_difference-{F}(V0,V3,V4), V4 == V2 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #18: input, references = 4, size of lhs = 0:
% 0.12/0.37 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #19: input, references = 4, size of lhs = 1:
% 0.12/0.37 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #20: input, references = 5, size of lhs = 2:
% 0.12/0.37 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_difference-{T}(V0,V1,V2)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 number of initial rules = 21
% 0.12/0.37
% 0.12/0.37 Simplifiers:
% 0.12/0.37 #21: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #22: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #23: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 P_set_difference-{F}(V0,V1,V2), P_set_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #24: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #25: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #26: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #27: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V4,V2), V0 == V3 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #28: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #29: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 pppp4-{F}(V0,V1), pppp4-{F}(V2,V1), V0 == V2 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #30: unsound, references = 3, size of lhs = 3:
% 0.12/0.37 pppp4-{F}(V0,V1), pppp4-{F}(V2,V3), V1 == V3 | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 number of simplifiers = 10
% 0.12/0.37
% 0.12/0.37 Learnt:
% 0.12/0.37 #32: exists( #20, #12 ), references = 2, size of lhs = 2:
% 0.12/0.37 P_empty_set-{F}(V0), subset-{F}(V1,V2) | P_set_difference-{T}(V1,V2,V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #38: exists( #20, #17 ), references = 1, size of lhs = 2:
% 0.12/0.37 P_singleton-{F}(V0,V1), pppp3-{F}(V2,V0,V3) | P_set_difference-{T}(V2,V1,V3)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #45: mergings( V2 == V3, V3 == V4; #42 ), references = 1, size of lhs = 3:
% 0.12/0.37 P_empty_set-{F}(V0), pppp3-{F}(V1,V2,V0), V1 == V0 | P_singleton-{T}(V2,V1)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #50: mergings( V1 == V3, V3 == V4; #47 ), references = 2, size of lhs = 4:
% 0.12/0.37 P_empty_set-{F}(V0), pppp4-{F}(V1,V0), V1 == V0, P_set_difference-{F}(V1,V1,V2) | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #56: mergings( V2 == V3, V3 == V0; #53 ), references = 1, size of lhs = 1:
% 0.12/0.37 P_empty_set-{F}(V0) | pppp4-{T}(V0,V0)
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 #59: exists( #18, #57 ), references = 1, size of lhs = 0:
% 0.12/0.37 FALSE | FALSE
% 0.12/0.37 (used 0 times, uses = {})
% 0.12/0.37
% 0.12/0.37 number of learnt formulas = 6
% 0.12/0.37
% 0.12/0.37
% 0.12/0.37 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37
% 0.12/0.37 randbase = 1
%------------------------------------------------------------------------------