TSTP Solution File: SYN551+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SYN551+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n023.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 06:24:56 EDT 2022
% Result : Theorem 0.17s 0.36s
% Output : Refutation 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : SYN551+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.02/0.11 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.11/0.32 % Computer : n023.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sat Jul 23 03:45:20 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.17/0.36 GeoParameters:
% 0.17/0.36
% 0.17/0.36 tptp_input = 1
% 0.17/0.36 tptp_output = 0
% 0.17/0.36 nonempty = 1
% 0.17/0.36 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.36 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.17/0.36
% 0.17/0.36
% 0.17/0.36 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.36 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.36
% 0.17/0.36 RuleSystem INPUT:
% 0.17/0.36
% 0.17/0.36 Initial Rules:
% 0.17/0.36 #0: input, references = 4, size of lhs = 0:
% 0.17/0.36 FALSE | pppp0-{T}(), pppp1-{T}()
% 0.17/0.36 (used 0 times, uses = {})
% 0.17/0.36
% 0.17/0.36 #1: input, references = 3, size of lhs = 2:
% 0.17/0.36 pppp1-{F}(), pppp0-{F}() | FALSE
% 0.17/0.36 (used 0 times, uses = {})
% 0.17/0.36
% 0.17/0.36 #2: input, references = 4, size of lhs = 1:
% 0.17/0.36 pppp1-{F}() | EXISTS V0: pppp2-{T}(V0)
% 0.17/0.36 (used 0 times, uses = {})
% 0.17/0.36
% 0.17/0.36 #3: input, references = 5, size of lhs = 6:
% 0.17/0.36 pppp1-{F}(), P_f-{F}(V2,V1), P_g-{F}(V1,V2), P_f-{F}(V5,V4), P_g-{F}(V4,V5), V5 == V2 | FALSE
% 0.17/0.36 (used 0 times, uses = {})
% 0.17/0.36
% 0.17/0.36 #4: input, references = 4, size of lhs = 2:
% 0.17/0.36 P_f-{F}(V2,V1), P_g-{F}(V1,V2) | pppp1-{T}(), pppp8-{T}()
% 0.17/0.36 (used 0 times, uses = {})
% 0.17/0.36
% 0.17/0.36 #5: input, references = 4, size of lhs = 1:
% 0.17/0.36 pppp8-{F}() | EXISTS V0: pppp4-{T}(V0)
% 0.17/0.36 (used 0 times, uses = {})
% 0.17/0.36
% 0.17/0.36 #6: input, references = 4, size of lhs = 3:
% 0.17/0.36 pppp4-{F}(V0), P_f-{F}(V0,V1), P_g-{F}(V1,V2) | EXISTS V3: pppp3-{T}(V3,V0)
% 0.17/0.36 (used 0 times, uses = {})
% 0.17/0.36
% 0.17/0.36 #7: input, references = 5, size of lhs = 4:
% 0.17/0.36 pppp4-{F}(V0), P_f-{F}(V0,V1), P_g-{F}(V1,V2), V0 == V2 | FALSE
% 0.17/0.36 (used 0 times, uses = {})
% 0.17/0.36
% 0.17/0.36 #8: input, references = 4, size of lhs = 3:
% 0.17/0.36 pppp3-{F}(V1,V1), P_f-{F}(V1,V2), P_g-{F}(V2,V3) | FALSE
% 0.17/0.36 (used 0 times, uses = {})
% 0.17/0.36
% 0.17/0.36 #9: input, references = 5, size of lhs = 4:
% 0.17/0.36 pppp3-{F}(V0,V1), P_f-{F}(V0,V2), P_g-{F}(V2,V3), V0 == V3 | FALSE
% 0.17/0.36 (used 0 times, uses = {})
% 0.17/0.36
% 0.17/0.36 #10: input, references = 4, size of lhs = 4:
% 0.17/0.36 pppp2-{F}(V0), P_f-{F}(V0,V1), P_g-{F}(V1,V2), V0 == V2 | FALSE
% 0.17/0.36 (used 0 times, uses = {})
% 0.17/0.36
% 0.17/0.36 #11: input, references = 4, size of lhs = 1:
% 0.17/0.36 pppp0-{F}() | EXISTS V0: pppp5-{T}(V0)
% 0.17/0.36 (used 0 times, uses = {})
% 0.17/0.36
% 0.17/0.36 #12: input, references = 5, size of lhs = 6:
% 0.17/0.36 pppp0-{F}(), P_g-{F}(V2,V1), P_f-{F}(V1,V2), P_g-{F}(V5,V4), P_f-{F}(V4,V5), V5 == V2 | FALSE
% 0.17/0.36 (used 0 times, uses = {})
% 0.17/0.36
% 0.17/0.36 #13: input, references = 4, size of lhs = 2:
% 0.17/0.36 P_g-{F}(V2,V1), P_f-{F}(V1,V2) | pppp0-{T}(), pppp9-{T}()
% 0.17/0.36 (used 0 times, uses = {})
% 0.17/0.36
% 0.17/0.36 #14: input, references = 4, size of lhs = 1:
% 0.17/0.36 pppp9-{F}() | EXISTS V0: pppp7-{T}(V0)
% 0.17/0.36 (used 0 times, uses = {})
% 0.17/0.36
% 0.17/0.36 #15: input, references = 4, size of lhs = 3:
% 0.17/0.36 pppp7-{F}(V0), P_g-{F}(V0,V1), P_f-{F}(V1,V2) | EXISTS V3: pppp6-{T}(V3,V0)
% 0.17/0.36 (used 0 times, uses = {})
% 0.17/0.36
% 0.17/0.36 #16: input, references = 5, size of lhs = 4:
% 0.17/0.36 pppp7-{F}(V0), P_g-{F}(V0,V1), P_f-{F}(V1,V2), V0 == V2 | FALSE
% 0.17/0.36 (used 0 times, uses = {})
% 0.17/0.36
% 0.17/0.36 #17: input, references = 4, size of lhs = 3:
% 0.17/0.36 pppp6-{F}(V1,V1), P_g-{F}(V1,V2), P_f-{F}(V2,V3) | FALSE
% 0.17/0.36 (used 0 times, uses = {})
% 0.17/0.36
% 0.17/0.36 #18: input, references = 5, size of lhs = 4:
% 0.17/0.36 pppp6-{F}(V0,V1), P_g-{F}(V0,V2), P_f-{F}(V2,V3), V0 == V3 | FALSE
% 0.17/0.36 (used 0 times, uses = {})
% 0.17/0.36
% 0.17/0.36 #19: input, references = 4, size of lhs = 4:
% 0.17/0.36 pppp5-{F}(V0), P_g-{F}(V0,V1), P_f-{F}(V1,V2), V0 == V2 | FALSE
% 0.17/0.36 (used 0 times, uses = {})
% 0.17/0.36
% 0.17/0.36 #20: input, references = 9, size of lhs = 1:
% 0.17/0.36 #-{F} V0 | EXISTS V1: P_f-{T}(V0,V1)
% 0.17/0.36 (used 0 times, uses = {})
% 0.17/0.36
% 0.17/0.36 #21: input, references = 9, size of lhs = 1:
% 0.17/0.36 #-{F} V0 | EXISTS V1: P_g-{T}(V0,V1)
% 0.17/0.36 (used 0 times, uses = {})
% 0.17/0.36
% 0.17/0.36 number of initial rules = 22
% 0.17/0.36
% 0.17/0.36 Simplifiers:
% 0.17/0.36 #22: unsound, references = 3, size of lhs = 3:
% 0.17/0.36 P_g-{F}(V0,V1), P_g-{F}(V0,V3), V1 == V3 | FALSE
% 0.17/0.36 (used 0 times, uses = {})
% 0.17/0.36
% 0.17/0.36 #23: unsound, references = 3, size of lhs = 3:
% 0.17/0.36 P_f-{F}(V0,V1), P_f-{F}(V0,V3), V1 == V3 | FALSE
% 0.17/0.36 (used 0 times, uses = {})
% 0.17/0.36
% 0.17/0.36 #24: unsound, references = 3, size of lhs = 3:
% 0.17/0.36 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 0.17/0.36 (used 0 times, uses = {})
% 0.17/0.36
% 0.17/0.36 #25: unsound, references = 3, size of lhs = 3:
% 0.17/0.36 pppp3-{F}(V0,V1), pppp3-{F}(V2,V1), V0 == V2 | FALSE
% 0.17/0.36 (used 0 times, uses = {})
% 0.17/0.36
% 0.17/0.36 #26: unsound, references = 3, size of lhs = 3:
% 0.17/0.36 pppp3-{F}(V0,V1), pppp3-{F}(V2,V3), V1 == V3 | FALSE
% 0.17/0.36 (used 0 times, uses = {})
% 0.17/0.36
% 0.17/0.36 #27: unsound, references = 3, size of lhs = 3:
% 0.17/0.36 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 0.17/0.36 (used 0 times, uses = {})
% 0.17/0.36
% 0.17/0.36 #28: unsound, references = 3, size of lhs = 3:
% 0.17/0.36 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 0.17/0.36 (used 0 times, uses = {})
% 0.17/0.36
% 0.17/0.36 #29: unsound, references = 3, size of lhs = 3:
% 0.17/0.36 pppp6-{F}(V0,V1), pppp6-{F}(V2,V1), V0 == V2 | FALSE
% 0.17/0.36 (used 0 times, uses = {})
% 0.17/0.36
% 0.17/0.36 #30: unsound, references = 3, size of lhs = 3:
% 0.17/0.36 pppp6-{F}(V0,V1), pppp6-{F}(V2,V3), V1 == V3 | FALSE
% 0.17/0.36 (used 0 times, uses = {})
% 0.17/0.36
% 0.17/0.36 #31: unsound, references = 3, size of lhs = 3:
% 0.17/0.36 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 0.17/0.36 (used 0 times, uses = {})
% 0.17/0.36
% 0.17/0.36 number of simplifiers = 10
% 0.17/0.36
% 0.17/0.36 Learnt:
% 0.17/0.36 #33: disj( #13, input ), references = 2, size of lhs = 3:
% 0.17/0.36 pppp1-{F}(), P_g-{F}(V0,V1), P_f-{F}(V1,V0) | pppp9-{T}()
% 0.17/0.36 (used 0 times, uses = {})
% 0.17/0.36
% 0.17/0.36 #35: exists( #20, #16 ), references = 1, size of lhs = 2:
% 0.17/0.36 pppp7-{F}(V0), P_g-{F}(V0,V1) | P_f-{T}(V1,V0)
% 0.17/0.36 (used 0 times, uses = {})
% 0.17/0.36
% 0.17/0.36 #38: exists( #21, #36 ), references = 1, size of lhs = 4:
% 0.17/0.36 pppp1-{F}(), pppp7-{F}(V0), P_f-{F}(V1,V2), P_g-{F}(V2,V1) | P_g-{T}(V0,V1)
% 0.17/0.36 (used 0 times, uses = {})
% 0.17/0.36
% 0.17/0.36 #42: mergings( V2 == V3; #40 ), references = 2, size of lhs = 4:
% 0.17/0.36 pppp9-{F}(), pppp1-{F}(), P_g-{F}(V0,V1), P_f-{F}(V1,V0) | pppp7-{T}(V0)
% 0.17/0.36 (used 0 times, uses = {})
% 0.17/0.36
% 0.17/0.36 #44: exists( #20, #18 ), references = 1, size of lhs = 2:
% 0.17/0.36 pppp6-{F}(V0,V1), P_g-{F}(V0,V2) | P_f-{T}(V2,V0)
% 0.17/0.36 (used 0 times, uses = {})
% 0.17/0.36
% 0.17/0.36 #47: exists( #21, #45 ), references = 1, size of lhs = 4:
% 0.17/0.36 pppp1-{F}(), pppp6-{F}(V0,V1), P_f-{F}(V2,V3), P_g-{F}(V3,V2) | P_g-{T}(V0,V2)
% 0.17/0.36 (used 0 times, uses = {})
% 0.17/0.36
% 0.17/0.36 #51: mergings( V5 == V6; #49 ), references = 2, size of lhs = 6:
% 0.17/0.36 pppp1-{F}(), pppp7-{F}(V0), P_g-{F}(V0,V1), P_f-{F}(V1,V2), P_g-{F}(V3,V4), P_f-{F}(V4,V3) | pppp6-{T}(V3,V0)
% 0.17/0.36 (used 0 times, uses = {})
% 0.17/0.36
% 0.17/0.36 #59: exists( #21, #10 ), references = 1, size of lhs = 2:
% 0.17/0.36 pppp2-{F}(V0), P_f-{F}(V0,V1) | P_g-{T}(V1,V0)
% 0.17/0.36 (used 0 times, uses = {})
% 0.17/0.36
% 0.17/0.36 #65: exists( #20, #63 ), references = 1, size of lhs = 2:
% 0.17/0.36 pppp1-{F}(), pppp2-{F}(V0) | FALSE
% 0.17/0.36 (used 0 times, uses = {})
% 0.17/0.36
% 0.17/0.36 #67: exists( #2, #64 ), references = 1, size of lhs = 1:
% 0.17/0.36 pppp1-{F}() | FALSE
% 0.17/0.36 (used 0 times, uses = {})
% 0.17/0.36
% 0.17/0.36 #69: disj( #0, exists( #2, #64 ) ), references = 1, size of lhs = 0:
% 0.17/0.36 FALSE | pppp0-{T}()
% 0.17/0.36 (used 0 times, uses = {})
% 0.17/0.36
% 0.17/0.36 #71: exists( #20, #19 ), references = 1, size of lhs = 2:
% 0.17/0.36 pppp5-{F}(V0), P_g-{F}(V0,V1) | P_f-{T}(V1,V0)
% 0.17/0.36 (used 0 times, uses = {})
% 0.17/0.36
% 0.17/0.36 #74: disj( #4, exists( #2, #64 ) ), references = 1, size of lhs = 2:
% 0.17/0.36 P_f-{F}(V0,V1), P_g-{F}(V1,V0) | pppp8-{T}()
% 0.17/0.36 (used 0 times, uses = {})
% 0.17/0.36
% 0.17/0.36 #76: exists( #21, #9 ), references = 1, size of lhs = 2:
% 0.17/0.36 pppp3-{F}(V0,V1), P_f-{F}(V0,V2) | P_g-{T}(V2,V0)
% 0.17/0.36 (used 0 times, uses = {})
% 0.17/0.36
% 0.17/0.36 #79: exists( #20, #77 ), references = 1, size of lhs = 4:
% 0.17/0.36 pppp0-{F}(), pppp3-{F}(V0,V1), P_g-{F}(V2,V3), P_f-{F}(V3,V2) | P_f-{T}(V0,V2)
% 0.17/0.36 (used 0 times, uses = {})
% 0.17/0.36
% 0.17/0.36 #83: mergings( V5 == V6; #81 ), references = 2, size of lhs = 6:
% 0.17/0.36 pppp0-{F}(), pppp4-{F}(V0), P_f-{F}(V0,V1), P_g-{F}(V1,V2), P_f-{F}(V3,V4), P_g-{F}(V4,V3) | pppp3-{T}(V3,V0)
% 0.17/0.36 (used 0 times, uses = {})
% 0.17/0.36
% 0.17/0.36 #86: exists( #21, #7 ), references = 1, size of lhs = 2:
% 0.17/0.36 pppp4-{F}(V0), P_f-{F}(V0,V1) | P_g-{T}(V1,V0)
% 0.17/0.36 (used 0 times, uses = {})
% 0.17/0.36
% 0.17/0.36 #89: exists( #20, #87 ), references = 1, size of lhs = 4:
% 0.17/0.36 pppp0-{F}(), pppp4-{F}(V0), P_g-{F}(V1,V2), P_f-{F}(V2,V1) | P_f-{T}(V0,V1)
% 0.17/0.36 (used 0 times, uses = {})
% 0.17/0.36
% 0.17/0.36 #93: mergings( V2 == V3; #91 ), references = 1, size of lhs = 4:
% 0.17/0.36 pppp8-{F}(), pppp0-{F}(), P_f-{F}(V0,V1), P_g-{F}(V1,V0) | pppp4-{T}(V0)
% 0.17/0.36 (used 0 times, uses = {})
% 0.17/0.36
% 0.17/0.36 #99: exists( #21, #97 ), references = 1, size of lhs = 2:
% 0.17/0.36 pppp0-{F}(), pppp5-{F}(V0) | FALSE
% 0.17/0.36 (used 0 times, uses = {})
% 0.17/0.36
% 0.17/0.36 #101: exists( #11, #98 ), references = 1, size of lhs = 1:
% 0.17/0.36 pppp0-{F}() | FALSE
% 0.17/0.36 (used 0 times, uses = {})
% 0.17/0.36
% 0.17/0.36 #103: #68+#100, references = 1, size of lhs = 0:
% 0.17/0.36 FALSE | FALSE
% 0.17/0.36 (used 0 times, uses = {})
% 0.17/0.36
% 0.17/0.36 number of learnt formulas = 22
% 0.17/0.36
% 0.17/0.36
% 0.17/0.36 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.36
% 0.17/0.36 randbase = 1
%------------------------------------------------------------------------------