TSTP Solution File: SET618+3 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET618+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n003.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 06:16:28 EDT 2022
% Result : Theorem 0.12s 0.35s
% Output : Refutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET618+3 : TPTP v8.1.0. Released v2.2.0.
% 0.04/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n003.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 01:53:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.35 GeoParameters:
% 0.12/0.35
% 0.12/0.35 tptp_input = 1
% 0.12/0.35 tptp_output = 0
% 0.12/0.35 nonempty = 1
% 0.12/0.35 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.12/0.35
% 0.12/0.35
% 0.12/0.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35
% 0.12/0.35 RuleSystem INPUT:
% 0.12/0.35
% 0.12/0.35 Initial Rules:
% 0.12/0.35 #0: input, references = 4, size of lhs = 5:
% 0.12/0.35 P_symmetric_difference-{F}(V0,V1,V2), P_difference-{F}(V0,V1,V3), P_difference-{F}(V1,V0,V4), P_union-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #1: input, references = 4, size of lhs = 2:
% 0.12/0.35 P_union-{F}(V0,V0,V1), V1 == V0 | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #2: input, references = 4, size of lhs = 3:
% 0.12/0.35 P_empty_set-{F}(V0), P_difference-{F}(V1,V1,V2), V2 == V0 | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #3: input, references = 3, size of lhs = 2:
% 0.12/0.35 P_empty_set-{F}(V0), member-{F}(V1,V0) | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #4: input, references = 3, size of lhs = 2:
% 0.12/0.35 P_empty_set-{F}(V0), #-{F} V2 | pppp0-{T}(V2,V2)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #5: input, references = 3, size of lhs = 3:
% 0.12/0.35 P_empty_set-{F}(V0), pppp0-{F}(V1,V2), V1 == V2 | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #6: input, references = 3, size of lhs = 2:
% 0.12/0.35 P_empty_set-{F}(V0), pppp0-{F}(V1,V2) | subset-{T}(V1,V2)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #7: input, references = 3, size of lhs = 2:
% 0.12/0.35 P_empty_set-{F}(V0), pppp0-{F}(V1,V2) | subset-{T}(V2,V1)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #8: input, references = 3, size of lhs = 3:
% 0.12/0.35 P_empty_set-{F}(V0), subset-{F}(V1,V2), subset-{F}(V2,V1) | pppp0-{T}(V1,V2)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #9: input, references = 3, size of lhs = 4:
% 0.12/0.35 P_empty_set-{F}(V0), P_union-{F}(V1,V2,V3), P_union-{F}(V2,V1,V4), V3 == V4 | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #10: input, references = 3, size of lhs = 4:
% 0.12/0.35 P_empty_set-{F}(V0), P_symmetric_difference-{F}(V1,V2,V3), P_symmetric_difference-{F}(V2,V1,V4), V3 == V4 | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #11: input, references = 3, size of lhs = 2:
% 0.12/0.35 P_empty_set-{F}(V0), #-{F} V2 | pppp1-{T}(V2,V2)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #12: input, references = 3, size of lhs = 3:
% 0.12/0.35 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), V1 == V2 | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #13: input, references = 3, size of lhs = 3:
% 0.12/0.35 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), member-{F}(V3,V1) | member-{T}(V3,V2)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #14: input, references = 3, size of lhs = 3:
% 0.12/0.35 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), member-{F}(V3,V2) | member-{T}(V3,V1)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #15: input, references = 3, size of lhs = 3:
% 0.12/0.35 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | pppp1-{T}(V1,V2), pppp8-{T}(V1,V2)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #16: input, references = 3, size of lhs = 1:
% 0.12/0.35 pppp8-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V0,V1,V2)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #17: input, references = 3, size of lhs = 3:
% 0.12/0.35 pppp4-{F}(V0,V1,V2), member-{F}(V2,V1), member-{F}(V2,V0) | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #18: input, references = 3, size of lhs = 1:
% 0.12/0.35 pppp4-{F}(V0,V1,V2) | member-{T}(V2,V0), member-{T}(V2,V1)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #19: input, references = 3, size of lhs = 2:
% 0.12/0.35 P_empty_set-{F}(V0), subset-{F}(V1,V2) | pppp2-{T}(V1,V2)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #20: input, references = 3, size of lhs = 2:
% 0.12/0.35 P_empty_set-{F}(V0), pppp2-{F}(V1,V2) | subset-{T}(V1,V2)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #21: input, references = 3, size of lhs = 3:
% 0.12/0.35 P_empty_set-{F}(V0), pppp2-{F}(V1,V2), member-{F}(V3,V1) | member-{T}(V3,V2)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #22: input, references = 3, size of lhs = 3:
% 0.12/0.35 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | pppp2-{T}(V1,V2), pppp9-{T}(V1,V2)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #23: input, references = 3, size of lhs = 1:
% 0.12/0.35 pppp9-{F}(V0,V1) | EXISTS V2: pppp5-{T}(V0,V1,V2)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #24: input, references = 3, size of lhs = 2:
% 0.12/0.35 pppp5-{F}(V0,V1,V2), member-{F}(V2,V1) | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #25: input, references = 3, size of lhs = 1:
% 0.12/0.35 pppp5-{F}(V0,V1,V2) | member-{T}(V2,V0)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #26: input, references = 3, size of lhs = 2:
% 0.12/0.35 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #27: input, references = 3, size of lhs = 2:
% 0.12/0.35 P_empty_set-{F}(V0), empty-{F}(V1) | pppp3-{T}(V1)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #28: input, references = 3, size of lhs = 2:
% 0.12/0.35 P_empty_set-{F}(V0), pppp3-{F}(V1) | empty-{T}(V1)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #29: input, references = 3, size of lhs = 3:
% 0.12/0.35 P_empty_set-{F}(V0), pppp3-{F}(V1), member-{F}(V2,V1) | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #30: input, references = 3, size of lhs = 2:
% 0.12/0.35 P_empty_set-{F}(V0), #-{F} V1 | pppp3-{T}(V1), pppp10-{T}(V1)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #31: input, references = 3, size of lhs = 1:
% 0.12/0.35 pppp10-{F}(V0) | EXISTS V1: pppp6-{T}(V0,V1)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #32: input, references = 3, size of lhs = 1:
% 0.12/0.35 pppp6-{F}(V0,V1) | member-{T}(V1,V0)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #33: input, references = 4, size of lhs = 1:
% 0.12/0.35 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V0,V1)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #34: input, references = 4, size of lhs = 2:
% 0.12/0.35 pppp7-{F}(V0,V1), P_symmetric_difference-{F}(V1,V1,V0) | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #35: input, references = 4, size of lhs = 2:
% 0.12/0.35 #-{F} V0, #-{F} V1 | EXISTS V2: P_symmetric_difference-{T}(V0,V1,V2)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #36: input, references = 4, size of lhs = 2:
% 0.12/0.35 #-{F} V0, #-{F} V1 | EXISTS V2: P_union-{T}(V0,V1,V2)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #37: input, references = 4, size of lhs = 2:
% 0.12/0.35 #-{F} V0, #-{F} V1 | EXISTS V2: P_difference-{T}(V0,V1,V2)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #38: input, references = 4, size of lhs = 0:
% 0.12/0.35 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 number of initial rules = 39
% 0.12/0.35
% 0.12/0.35 Simplifiers:
% 0.12/0.35 #39: unsound, references = 3, size of lhs = 3:
% 0.12/0.35 P_symmetric_difference-{F}(V0,V1,V2), P_symmetric_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #40: unsound, references = 3, size of lhs = 3:
% 0.12/0.35 P_union-{F}(V0,V1,V2), P_union-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #41: unsound, references = 3, size of lhs = 3:
% 0.12/0.35 P_difference-{F}(V0,V1,V2), P_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #42: unsound, references = 3, size of lhs = 3:
% 0.12/0.35 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #43: unsound, references = 3, size of lhs = 3:
% 0.12/0.35 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #44: unsound, references = 3, size of lhs = 3:
% 0.12/0.35 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #45: unsound, references = 3, size of lhs = 3:
% 0.12/0.35 pppp6-{F}(V0,V1), pppp6-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #46: unsound, references = 3, size of lhs = 3:
% 0.12/0.35 pppp7-{F}(V0,V1), pppp7-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #47: unsound, references = 3, size of lhs = 3:
% 0.12/0.35 pppp7-{F}(V0,V1), pppp7-{F}(V2,V3), V0 == V2 | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 number of simplifiers = 9
% 0.12/0.35
% 0.12/0.35 Learnt:
% 0.12/0.35 #49: exists( #36, #1 ), references = 2, size of lhs = 1:
% 0.12/0.35 #-{F} V0 | P_union-{T}(V0,V0,V0)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #51: exists( #37, #2 ), references = 2, size of lhs = 2:
% 0.12/0.35 P_empty_set-{F}(V0), #-{F} V1 | P_difference-{T}(V1,V1,V0)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #53: exists( #35, #0 ), references = 2, size of lhs = 3:
% 0.12/0.35 P_difference-{F}(V0,V1,V2), P_difference-{F}(V1,V0,V3), P_union-{F}(V2,V3,V4) | P_symmetric_difference-{T}(V0,V1,V4)
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #58: mergings( V0 == V2; #56 ), references = 1, size of lhs = 2:
% 0.12/0.35 P_empty_set-{F}(V0), P_union-{F}(V0,V0,V0) | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 #61: exists( #38, #59 ), references = 1, size of lhs = 0:
% 0.12/0.35 FALSE | FALSE
% 0.12/0.35 (used 0 times, uses = {})
% 0.12/0.35
% 0.12/0.35 number of learnt formulas = 5
% 0.12/0.35
% 0.12/0.35
% 0.12/0.35 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35
% 0.12/0.35 randbase = 1
%------------------------------------------------------------------------------