TSTP Solution File: SWV410+1 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SWV410+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n022.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 06:21:36 EDT 2022
% Result : Theorem 0.73s 0.91s
% Output : Refutation 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV410+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n022.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 : Fri Jul 22 15:07:36 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.73/0.91 GeoParameters:
% 0.73/0.91
% 0.73/0.91 tptp_input = 1
% 0.73/0.91 tptp_output = 0
% 0.73/0.91 nonempty = 1
% 0.73/0.91 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.73/0.91 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.73/0.91
% 0.73/0.91
% 0.73/0.91 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.73/0.91 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.73/0.91
% 0.73/0.91 RuleSystem INPUT:
% 0.73/0.91
% 0.73/0.91 Initial Rules:
% 0.73/0.91 #0: input, references = 3, size of lhs = 2:
% 0.73/0.91 less_than-{F}(V0,V1), less_than-{F}(V2,V0) | less_than-{T}(V2,V1)
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 #1: input, references = 3, size of lhs = 2:
% 0.73/0.91 #-{F} V0, #-{F} V1 | less_than-{T}(V0,V1), less_than-{T}(V1,V0)
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 #2: input, references = 3, size of lhs = 1:
% 0.73/0.91 #-{F} V0 | less_than-{T}(V0,V0)
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 #3: input, references = 3, size of lhs = 1:
% 0.73/0.91 strictly_less_than-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 #4: input, references = 3, size of lhs = 1:
% 0.73/0.91 pppp0-{F}(V0,V1) | strictly_less_than-{T}(V0,V1)
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 #5: input, references = 3, size of lhs = 1:
% 0.73/0.91 pppp0-{F}(V0,V1) | less_than-{T}(V0,V1)
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 #6: input, references = 3, size of lhs = 2:
% 0.73/0.91 pppp0-{F}(V0,V1), less_than-{F}(V1,V0) | FALSE
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 #7: input, references = 3, size of lhs = 1:
% 0.73/0.91 less_than-{F}(V0,V1) | pppp0-{T}(V0,V1), less_than-{T}(V1,V0)
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 #8: input, references = 3, size of lhs = 2:
% 0.73/0.91 P_bottom-{F}(V0), #-{F} V1 | less_than-{T}(V0,V1)
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 #9: input, references = 3, size of lhs = 3:
% 0.73/0.91 P_bottom-{F}(V0), P_create_slb-{F}(V1), isnonempty_slb-{F}(V1) | FALSE
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 #10: input, references = 3, size of lhs = 4:
% 0.73/0.91 P_bottom-{F}(V0), P_create_slb-{F}(V1), P_pair-{F}(V3,V4,V5), P_insert_slb-{F}(V2,V5,V6) | isnonempty_slb-{T}(V6)
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 #11: input, references = 5, size of lhs = 3:
% 0.73/0.91 P_bottom-{F}(V0), P_create_slb-{F}(V1), contains_slb-{F}(V1,V2) | FALSE
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 #12: input, references = 4, size of lhs = 5:
% 0.73/0.91 P_bottom-{F}(V0), P_create_slb-{F}(V1), P_pair-{F}(V3,V5,V6), P_insert_slb-{F}(V2,V6,V7), contains_slb-{F}(V7,V4) | pppp1-{T}(V2,V3,V4)
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 #13: input, references = 4, size of lhs = 5:
% 0.73/0.91 P_bottom-{F}(V0), P_create_slb-{F}(V1), P_pair-{F}(V3,V5,V6), P_insert_slb-{F}(V2,V6,V7), pppp1-{F}(V2,V3,V4) | contains_slb-{T}(V7,V4)
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 #14: input, references = 4, size of lhs = 4:
% 0.73/0.91 P_bottom-{F}(V0), P_create_slb-{F}(V1), pppp1-{F}(V2,V3,V4), V3 == V4 | contains_slb-{T}(V2,V4)
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 #15: input, references = 3, size of lhs = 4:
% 0.73/0.91 P_bottom-{F}(V0), P_create_slb-{F}(V1), #-{F} V3, contains_slb-{F}(V2,V4) | pppp1-{T}(V2,V3,V4)
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 #16: input, references = 3, size of lhs = 4:
% 0.73/0.91 P_bottom-{F}(V0), P_create_slb-{F}(V1), #-{F} V2, #-{F} V4 | pppp1-{T}(V2,V4,V4)
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 #17: input, references = 3, size of lhs = 3:
% 0.73/0.91 P_bottom-{F}(V0), P_create_slb-{F}(V1), pair_in_list-{F}(V1,V2,V3) | FALSE
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 #18: input, references = 3, size of lhs = 5:
% 0.73/0.91 P_bottom-{F}(V0), P_create_slb-{F}(V1), P_pair-{F}(V3,V5,V7), P_insert_slb-{F}(V2,V7,V8), pair_in_list-{F}(V8,V4,V6) | pppp2-{T}(V2,V3,V4,V5,V6)
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 #19: input, references = 3, size of lhs = 5:
% 0.73/0.91 P_bottom-{F}(V0), P_create_slb-{F}(V1), P_pair-{F}(V3,V5,V7), P_insert_slb-{F}(V2,V7,V8), pppp2-{F}(V2,V3,V4,V5,V6) | pair_in_list-{T}(V8,V4,V6)
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 #20: input, references = 3, size of lhs = 4:
% 0.73/0.91 P_bottom-{F}(V0), P_create_slb-{F}(V1), pppp2-{F}(V2,V3,V4,V5,V6), V3 == V4 | pair_in_list-{T}(V2,V4,V6)
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 #21: input, references = 3, size of lhs = 4:
% 0.73/0.91 P_bottom-{F}(V0), P_create_slb-{F}(V1), pppp2-{F}(V2,V3,V4,V5,V6), V5 == V6 | pair_in_list-{T}(V2,V4,V6)
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 #22: input, references = 3, size of lhs = 5:
% 0.73/0.91 P_bottom-{F}(V0), P_create_slb-{F}(V1), #-{F} V3, #-{F} V5, pair_in_list-{F}(V2,V4,V6) | pppp2-{T}(V2,V3,V4,V5,V6)
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 #23: input, references = 3, size of lhs = 5:
% 0.73/0.91 P_bottom-{F}(V0), P_create_slb-{F}(V1), #-{F} V2, #-{F} V4, #-{F} V6 | pppp2-{T}(V2,V4,V4,V6,V6)
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 #24: input, references = 4, size of lhs = 6:
% 0.73/0.91 P_bottom-{F}(V0), P_create_slb-{F}(V1), P_pair-{F}(V3,V4,V5), P_insert_slb-{F}(V2,V5,V6), P_remove_slb-{F}(V6,V3,V7), V7 == V2 | FALSE
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 #25: input, references = 3, size of lhs = 10:
% 0.73/0.91 P_bottom-{F}(V0), P_create_slb-{F}(V1), P_remove_slb-{F}(V4,V3,V5), contains_slb-{F}(V4,V3), P_pair-{F}(V2,V6,V7), P_insert_slb-{F}(V4,V7,V8), P_remove_slb-{F}(V8,V3,V9), P_insert_slb-{F}(V5,V7,V10), V2 == V3, V9 == V10 | FALSE
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 #26: input, references = 4, size of lhs = 6:
% 0.73/0.91 P_bottom-{F}(V0), P_create_slb-{F}(V1), P_pair-{F}(V3,V4,V5), P_insert_slb-{F}(V2,V5,V6), P_lookup_slb-{F}(V6,V3,V7), V7 == V4 | FALSE
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 #27: input, references = 3, size of lhs = 9:
% 0.73/0.91 P_bottom-{F}(V0), P_create_slb-{F}(V1), P_lookup_slb-{F}(V4,V3,V5), contains_slb-{F}(V4,V3), P_pair-{F}(V2,V6,V7), P_insert_slb-{F}(V4,V7,V8), P_lookup_slb-{F}(V8,V3,V9), V2 == V3, V9 == V5 | FALSE
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 #28: input, references = 4, size of lhs = 4:
% 0.73/0.91 P_bottom-{F}(V0), P_create_slb-{F}(V1), P_update_slb-{F}(V1,V2,V3), V3 == V1 | FALSE
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 #29: input, references = 3, size of lhs = 10:
% 0.73/0.91 P_bottom-{F}(V0), P_create_slb-{F}(V1), strictly_less_than-{F}(V3,V2), P_pair-{F}(V4,V3,V6), P_insert_slb-{F}(V5,V6,V7), P_update_slb-{F}(V7,V2,V8), P_update_slb-{F}(V5,V2,V9), P_pair-{F}(V4,V2,V10), P_insert_slb-{F}(V9,V10,V11), V8 == V11 | FALSE
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 #30: input, references = 4, size of lhs = 9:
% 0.73/0.91 P_bottom-{F}(V0), P_create_slb-{F}(V1), less_than-{F}(V2,V3), P_pair-{F}(V4,V3,V6), P_insert_slb-{F}(V5,V6,V7), P_update_slb-{F}(V7,V2,V8), P_update_slb-{F}(V5,V2,V9), P_insert_slb-{F}(V9,V6,V10), V8 == V10 | FALSE
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 #31: input, references = 4, size of lhs = 2:
% 0.73/0.91 P_bottom-{F}(V0), P_create_slb-{F}(V1) | EXISTS V2: pppp3-{T}(V2,V1)
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 #32: input, references = 3, size of lhs = 2:
% 0.73/0.91 pppp3-{F}(V0,V1), pair_in_list-{F}(V1,V0,V2) | FALSE
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 #33: input, references = 4, size of lhs = 1:
% 0.73/0.91 pppp3-{F}(V0,V1) | contains_slb-{T}(V1,V0)
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 #34: input, references = 4, size of lhs = 0:
% 0.73/0.91 FALSE | EXISTS V0: P_bottom-{T}(V0)
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 #35: input, references = 4, size of lhs = 0:
% 0.73/0.91 FALSE | EXISTS V0: P_create_slb-{T}(V0)
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 #36: input, references = 5, size of lhs = 2:
% 0.73/0.91 #-{F} V0, #-{F} V1 | EXISTS V2: P_insert_slb-{T}(V0,V1,V2)
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 #37: input, references = 3, size of lhs = 2:
% 0.73/0.91 #-{F} V0, #-{F} V1 | EXISTS V2: P_pair-{T}(V0,V1,V2)
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 #38: input, references = 4, size of lhs = 2:
% 0.73/0.91 #-{F} V0, #-{F} V1 | EXISTS V2: P_remove_slb-{T}(V0,V1,V2)
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 #39: input, references = 4, size of lhs = 2:
% 0.73/0.91 #-{F} V0, #-{F} V1 | EXISTS V2: P_lookup_slb-{T}(V0,V1,V2)
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 #40: input, references = 4, size of lhs = 2:
% 0.73/0.91 #-{F} V0, #-{F} V1 | EXISTS V2: P_update_slb-{T}(V0,V1,V2)
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 number of initial rules = 41
% 0.73/0.91
% 0.73/0.91 Simplifiers:
% 0.73/0.91 #41: unsound, references = 3, size of lhs = 3:
% 0.73/0.91 P_bottom-{F}(V0), P_bottom-{F}(V1), V0 == V1 | FALSE
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 #42: unsound, references = 3, size of lhs = 3:
% 0.73/0.91 P_create_slb-{F}(V0), P_create_slb-{F}(V1), V0 == V1 | FALSE
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 #43: unsound, references = 3, size of lhs = 3:
% 0.73/0.91 P_insert_slb-{F}(V0,V1,V2), P_insert_slb-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 #44: unsound, references = 3, size of lhs = 3:
% 0.73/0.91 P_pair-{F}(V0,V1,V2), P_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 #45: unsound, references = 3, size of lhs = 3:
% 0.73/0.91 P_remove_slb-{F}(V0,V1,V2), P_remove_slb-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 #46: unsound, references = 3, size of lhs = 3:
% 0.73/0.91 P_lookup_slb-{F}(V0,V1,V2), P_lookup_slb-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 #47: unsound, references = 3, size of lhs = 3:
% 0.73/0.91 P_update_slb-{F}(V0,V1,V2), P_update_slb-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 #48: unsound, references = 3, size of lhs = 3:
% 0.73/0.91 pppp3-{F}(V0,V1), pppp3-{F}(V2,V1), V0 == V2 | FALSE
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 #49: unsound, references = 3, size of lhs = 3:
% 0.73/0.91 pppp3-{F}(V0,V1), pppp3-{F}(V2,V3), V1 == V3 | FALSE
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 number of simplifiers = 9
% 0.73/0.91
% 0.73/0.91 Learnt:
% 0.73/0.91 #51: exists( #38, #24 ), references = 1, size of lhs = 4:
% 0.73/0.91 P_bottom-{F}(V0), P_create_slb-{F}(V1), P_pair-{F}(V2,V3,V4), P_insert_slb-{F}(V5,V4,V6) | P_remove_slb-{T}(V6,V2,V5)
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 #53: exists( #39, #26 ), references = 1, size of lhs = 4:
% 0.73/0.91 P_bottom-{F}(V0), P_create_slb-{F}(V1), P_pair-{F}(V2,V3,V4), P_insert_slb-{F}(V5,V4,V6) | P_lookup_slb-{T}(V6,V2,V3)
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 #55: exists( #36, #30 ), references = 1, size of lhs = 7:
% 0.73/0.91 P_bottom-{F}(V0), P_create_slb-{F}(V1), less_than-{F}(V2,V3), P_pair-{F}(V4,V3,V5), P_insert_slb-{F}(V6,V5,V7), P_update_slb-{F}(V7,V2,V8), P_update_slb-{F}(V6,V2,V9) | P_insert_slb-{T}(V9,V5,V8)
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 #71: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V0; #64 ), references = 1, size of lhs = 6:
% 0.73/0.91 P_bottom-{F}(V0), P_create_slb-{F}(V1), pppp1-{F}(V1,V2,V3), P_pair-{F}(V2,V4,V5), P_pair-{F}(V6,V7,V5), V6 == V3 | FALSE
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 #74: exists( #40, #28 ), references = 1, size of lhs = 3:
% 0.73/0.91 P_bottom-{F}(V0), P_create_slb-{F}(V1), #-{F} V2 | P_update_slb-{T}(V1,V2,V1)
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 #82: mergings( V0 == V3; #80 ), references = 1, size of lhs = 2:
% 0.73/0.91 P_bottom-{F}(V0), P_create_slb-{F}(V1) | FALSE
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 #85: mergings( V1 == V2; #83 ), references = 1, size of lhs = 1:
% 0.73/0.91 P_bottom-{F}(V0) | FALSE
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 #87: exists( #34, #83 ), references = 1, size of lhs = 0:
% 0.73/0.91 FALSE | FALSE
% 0.73/0.91 (used 0 times, uses = {})
% 0.73/0.91
% 0.73/0.91 number of learnt formulas = 8
% 0.73/0.91
% 0.73/0.91
% 0.73/0.91 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.73/0.91
% 0.73/0.91 randbase = 1
%------------------------------------------------------------------------------