TSTP Solution File: PUZ003-1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : PUZ003-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n026.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 06:14:14 EDT 2022
% Result : Unsatisfiable 0.11s 0.34s
% Output : Refutation 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : PUZ003-1 : TPTP v8.1.0. Released v1.0.0.
% 0.09/0.11 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.11/0.32 % Computer : n026.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 : Fri Jul 22 07:18:48 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.11/0.34 GeoParameters:
% 0.11/0.34
% 0.11/0.34 tptp_input = 1
% 0.11/0.34 tptp_output = 0
% 0.11/0.34 nonempty = 1
% 0.11/0.34 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.34 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.11/0.34
% 0.11/0.34
% 0.11/0.34 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.34 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.34
% 0.11/0.34 RuleSystem INPUT:
% 0.11/0.34
% 0.11/0.34 Initial Rules:
% 0.11/0.34 #0: input, references = 9, size of lhs = 4:
% 0.11/0.34 P_members-{F}(V0), member-{F}(V1), member-{F}(V2), shaved-{F}(V1,V2) | shaved-{T}(V0,V1)
% 0.11/0.34 (used 0 times, uses = {})
% 0.11/0.34
% 0.11/0.34 #1: input, references = 9, size of lhs = 3:
% 0.11/0.34 P_members-{F}(V0), member-{F}(V1), shaved-{F}(V0,V2) | shaved-{T}(V1,V2)
% 0.11/0.34 (used 0 times, uses = {})
% 0.11/0.34
% 0.11/0.34 #2: input, references = 4, size of lhs = 2:
% 0.11/0.34 P_members-{F}(V0), P_guido-{F}(V1) | member-{T}(V1)
% 0.11/0.34 (used 0 times, uses = {})
% 0.11/0.34
% 0.11/0.34 #3: input, references = 5, size of lhs = 3:
% 0.11/0.34 P_members-{F}(V0), P_guido-{F}(V1), P_lorenzo-{F}(V2) | member-{T}(V2)
% 0.11/0.34 (used 0 times, uses = {})
% 0.11/0.34
% 0.11/0.34 #4: input, references = 7, size of lhs = 4:
% 0.11/0.34 P_members-{F}(V0), P_guido-{F}(V1), P_lorenzo-{F}(V2), P_petruchio-{F}(V3) | member-{T}(V3)
% 0.11/0.34 (used 0 times, uses = {})
% 0.11/0.34
% 0.11/0.34 #5: input, references = 7, size of lhs = 5:
% 0.11/0.34 P_members-{F}(V0), P_guido-{F}(V1), P_lorenzo-{F}(V2), P_petruchio-{F}(V3), P_cesare-{F}(V4) | member-{T}(V4)
% 0.11/0.34 (used 0 times, uses = {})
% 0.11/0.34
% 0.11/0.34 #6: input, references = 7, size of lhs = 5:
% 0.11/0.34 P_members-{F}(V0), P_guido-{F}(V1), P_lorenzo-{F}(V2), P_petruchio-{F}(V3), P_cesare-{F}(V4) | shaved-{T}(V1,V4)
% 0.11/0.34 (used 0 times, uses = {})
% 0.11/0.34
% 0.11/0.34 #7: input, references = 7, size of lhs = 6:
% 0.11/0.34 P_members-{F}(V0), P_guido-{F}(V1), P_lorenzo-{F}(V2), P_petruchio-{F}(V3), P_cesare-{F}(V4), shaved-{F}(V3,V2) | FALSE
% 0.11/0.34 (used 0 times, uses = {})
% 0.11/0.34
% 0.11/0.34 #8: input, references = 4, size of lhs = 0:
% 0.11/0.34 FALSE | EXISTS V0: P_members-{T}(V0)
% 0.11/0.34 (used 0 times, uses = {})
% 0.11/0.34
% 0.11/0.34 #9: input, references = 4, size of lhs = 0:
% 0.11/0.34 FALSE | EXISTS V0: P_guido-{T}(V0)
% 0.11/0.34 (used 0 times, uses = {})
% 0.11/0.34
% 0.11/0.34 #10: input, references = 5, size of lhs = 0:
% 0.11/0.34 FALSE | EXISTS V0: P_lorenzo-{T}(V0)
% 0.11/0.34 (used 0 times, uses = {})
% 0.11/0.34
% 0.11/0.34 #11: input, references = 7, size of lhs = 0:
% 0.11/0.34 FALSE | EXISTS V0: P_petruchio-{T}(V0)
% 0.11/0.34 (used 0 times, uses = {})
% 0.11/0.34
% 0.11/0.34 #12: input, references = 7, size of lhs = 0:
% 0.11/0.34 FALSE | EXISTS V0: P_cesare-{T}(V0)
% 0.11/0.34 (used 0 times, uses = {})
% 0.11/0.34
% 0.11/0.34 number of initial rules = 13
% 0.11/0.34
% 0.11/0.34 Simplifiers:
% 0.11/0.34 #13: unsound, references = 3, size of lhs = 3:
% 0.11/0.34 P_members-{F}(V0), P_members-{F}(V1), V0 == V1 | FALSE
% 0.11/0.34 (used 0 times, uses = {})
% 0.11/0.34
% 0.11/0.34 #14: unsound, references = 3, size of lhs = 3:
% 0.11/0.34 P_guido-{F}(V0), P_guido-{F}(V1), V0 == V1 | FALSE
% 0.11/0.34 (used 0 times, uses = {})
% 0.11/0.34
% 0.11/0.34 #15: unsound, references = 3, size of lhs = 3:
% 0.11/0.34 P_lorenzo-{F}(V0), P_lorenzo-{F}(V1), V0 == V1 | FALSE
% 0.11/0.34 (used 0 times, uses = {})
% 0.11/0.34
% 0.11/0.34 #16: unsound, references = 3, size of lhs = 3:
% 0.11/0.34 P_petruchio-{F}(V0), P_petruchio-{F}(V1), V0 == V1 | FALSE
% 0.11/0.34 (used 0 times, uses = {})
% 0.11/0.34
% 0.11/0.34 #17: unsound, references = 3, size of lhs = 3:
% 0.11/0.34 P_cesare-{F}(V0), P_cesare-{F}(V1), V0 == V1 | FALSE
% 0.11/0.34 (used 0 times, uses = {})
% 0.11/0.34
% 0.11/0.34 number of simplifiers = 5
% 0.11/0.34
% 0.11/0.34 Learnt:
% 0.11/0.34 #35: mergings( V1 == V5, V5 == V9, V9 == V11, V2 == V6, V6 == V12, V3 == V12, V12 == V7, V4 == V8, V8 == V10; #25 ), references = 1, size of lhs = 6:
% 0.11/0.34 member-{F}(V0), P_lorenzo-{F}(V0), P_guido-{F}(V0), member-{F}(V1), P_petruchio-{F}(V1), P_members-{F}(V2) | FALSE
% 0.11/0.34 (used 0 times, uses = {})
% 0.11/0.34
% 0.11/0.34 #48: mergings( V1 == V4, V4 == V7, V7 == V10, V10 == V11, V2 == V5, V5 == V8, V8 == V12, V3 == V6, V6 == V12, V12 == V9; #37 ), references = 1, size of lhs = 4:
% 0.11/0.34 member-{F}(V0), P_lorenzo-{F}(V0), P_guido-{F}(V0), P_members-{F}(V1) | FALSE
% 0.11/0.34 (used 0 times, uses = {})
% 0.11/0.34
% 0.11/0.34 #71: mergings( V1 == V5, V5 == V6, V6 == V10, V10 == V12, V2 == V12, V12 == V13, V3 == V7, V7 == V9, V4 == V8, V8 == V11; #60 ), references = 1, size of lhs = 6:
% 0.11/0.34 member-{F}(V0), P_lorenzo-{F}(V0), member-{F}(V1), P_petruchio-{F}(V1), P_members-{F}(V2), P_guido-{F}(V2) | FALSE
% 0.11/0.34 (used 0 times, uses = {})
% 0.11/0.34
% 0.11/0.34 #85: mergings( V1 == V4, V4 == V7, V7 == V8, V8 == V11, V11 == V12, V2 == V5, V5 == V12, V12 == V13, V3 == V6, V6 == V9, V9 == V10; #73 ), references = 1, size of lhs = 4:
% 0.11/0.34 member-{F}(V0), P_lorenzo-{F}(V0), P_members-{F}(V1), P_guido-{F}(V1) | FALSE
% 0.11/0.34 (used 0 times, uses = {})
% 0.11/0.34
% 0.11/0.34 #98: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V8, V8 == V9, V9 == V10, V2 == V4, V4 == V6, V6 == V10, V10 == V11; #87 ), references = 1, size of lhs = 2:
% 0.11/0.34 P_members-{F}(V0), P_guido-{F}(V0) | FALSE
% 0.11/0.34 (used 0 times, uses = {})
% 0.11/0.34
% 0.11/0.34 #119: mergings( V1 == V5, V5 == V9, V9 == V10, V10 == V12, V2 == V6, V6 == V13, V3 == V7, V7 == V12, V4 == V8, V8 == V11; #108 ), references = 1, size of lhs = 7:
% 0.11/0.34 member-{F}(V0), P_guido-{F}(V0), member-{F}(V1), P_lorenzo-{F}(V1), P_members-{F}(V1), member-{F}(V2), P_petruchio-{F}(V2) | FALSE
% 0.11/0.34 (used 0 times, uses = {})
% 0.11/0.34
% 0.11/0.34 #133: mergings( V1 == V4, V4 == V7, V7 == V10, V10 == V11, V11 == V12, V2 == V5, V5 == V8, V8 == V13, V3 == V6, V6 == V9, V9 == V12; #121 ), references = 1, size of lhs = 5:
% 0.11/0.34 member-{F}(V0), P_guido-{F}(V0), member-{F}(V1), P_lorenzo-{F}(V1), P_members-{F}(V1) | FALSE
% 0.11/0.34 (used 0 times, uses = {})
% 0.11/0.34
% 0.11/0.34 #160: mergings( V1 == V5, V5 == V9, V9 == V11, V11 == V13, V2 == V6, V6 == V14, V3 == V7, V7 == V10, V4 == V8, V8 == V12; #149 ), references = 2, size of lhs = 7:
% 0.11/0.34 member-{F}(V0), P_guido-{F}(V0), member-{F}(V1), P_lorenzo-{F}(V1), member-{F}(V2), P_petruchio-{F}(V2), P_members-{F}(V3) | FALSE
% 0.11/0.34 (used 0 times, uses = {})
% 0.11/0.34
% 0.11/0.34 #166: mergings( V1 == V6, V2 == V4, V3 == V5; #162 ), references = 1, size of lhs = 5:
% 0.11/0.34 member-{F}(V0), P_guido-{F}(V0), member-{F}(V1), P_lorenzo-{F}(V1), P_members-{F}(V2) | FALSE
% 0.11/0.34 (used 0 times, uses = {})
% 0.11/0.34
% 0.11/0.34 #173: mergings( V1 == V3, V3 == V6, V2 == V4, V4 == V5; #168 ), references = 1, size of lhs = 3:
% 0.11/0.34 member-{F}(V0), P_guido-{F}(V0), P_members-{F}(V1) | FALSE
% 0.11/0.34 (used 0 times, uses = {})
% 0.11/0.34
% 0.11/0.34 #179: mergings( V1 == V2, V2 == V3, V3 == V4; #175 ), references = 1, size of lhs = 1:
% 0.11/0.34 P_members-{F}(V0) | FALSE
% 0.11/0.34 (used 0 times, uses = {})
% 0.11/0.34
% 0.11/0.34 #181: exists( #8, #175 ), references = 1, size of lhs = 0:
% 0.11/0.34 FALSE | FALSE
% 0.11/0.34 (used 0 times, uses = {})
% 0.11/0.34
% 0.11/0.34 number of learnt formulas = 12
% 0.11/0.34
% 0.11/0.34
% 0.11/0.34 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.34
% 0.11/0.34 randbase = 1
%------------------------------------------------------------------------------