TSTP Solution File: PUZ001-2 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : PUZ001-2 : TPTP v8.1.0. Released v1.0.0.
% 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 06:14:14 EDT 2022
% Result : Unsatisfiable 0.13s 0.43s
% Output : Refutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : PUZ001-2 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.40 % Computer : n003.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8042.1875MB
% 0.13/0.40 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Fri Jul 22 07:04:35 EDT 2022
% 0.13/0.40 % CPUTime :
% 0.13/0.43 GeoParameters:
% 0.13/0.43
% 0.13/0.43 tptp_input = 1
% 0.13/0.43 tptp_output = 0
% 0.13/0.43 nonempty = 1
% 0.13/0.43 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.43 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.13/0.43
% 0.13/0.43
% 0.13/0.43 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.43 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.43
% 0.13/0.43 RuleSystem INPUT:
% 0.13/0.43
% 0.13/0.43 Initial Rules:
% 0.13/0.43 #0: input, references = 4, size of lhs = 1:
% 0.13/0.43 P_someone-{F}(V0) | lives_at_dreadsbury-{T}(V0)
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #1: input, references = 5, size of lhs = 2:
% 0.13/0.43 P_someone-{F}(V0), P_aunt_agatha-{F}(V1) | killed-{T}(V0,V1)
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #2: input, references = 3, size of lhs = 2:
% 0.13/0.43 P_someone-{F}(V0), P_aunt_agatha-{F}(V1) | lives_at_dreadsbury-{T}(V1)
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #3: input, references = 3, size of lhs = 3:
% 0.13/0.43 P_someone-{F}(V0), P_aunt_agatha-{F}(V1), P_butler-{F}(V2) | lives_at_dreadsbury-{T}(V2)
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #4: input, references = 3, size of lhs = 4:
% 0.13/0.43 P_someone-{F}(V0), P_aunt_agatha-{F}(V1), P_butler-{F}(V2), P_charles-{F}(V3) | lives_at_dreadsbury-{T}(V3)
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #5: input, references = 4, size of lhs = 8:
% 0.13/0.43 P_someone-{F}(V0), P_aunt_agatha-{F}(V1), P_butler-{F}(V2), P_charles-{F}(V3), lives_at_dreadsbury-{F}(V4), V4 == V1, V4 == V2, V4 == V3 | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #6: input, references = 4, size of lhs = 5:
% 0.13/0.43 P_someone-{F}(V0), P_aunt_agatha-{F}(V1), P_butler-{F}(V2), P_charles-{F}(V3), killed-{F}(V4,V5) | hates-{T}(V4,V5)
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #7: input, references = 4, size of lhs = 6:
% 0.13/0.43 P_someone-{F}(V0), P_aunt_agatha-{F}(V1), P_butler-{F}(V2), P_charles-{F}(V3), killed-{F}(V4,V5), richer-{F}(V4,V5) | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #8: input, references = 4, size of lhs = 6:
% 0.13/0.43 P_someone-{F}(V0), P_aunt_agatha-{F}(V1), P_butler-{F}(V2), P_charles-{F}(V3), hates-{F}(V1,V4), hates-{F}(V3,V4) | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #9: input, references = 5, size of lhs = 6:
% 0.13/0.43 P_someone-{F}(V0), P_aunt_agatha-{F}(V1), P_butler-{F}(V2), P_charles-{F}(V3), #-{F} V4, V4 == V2 | hates-{T}(V1,V4)
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #10: input, references = 4, size of lhs = 5:
% 0.13/0.43 P_someone-{F}(V0), P_aunt_agatha-{F}(V1), P_butler-{F}(V2), P_charles-{F}(V3), #-{F} V4 | richer-{T}(V4,V1), hates-{T}(V2,V4)
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #11: input, references = 4, size of lhs = 5:
% 0.13/0.43 P_someone-{F}(V0), P_aunt_agatha-{F}(V1), P_butler-{F}(V2), P_charles-{F}(V3), hates-{F}(V1,V4) | hates-{T}(V2,V4)
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #12: input, references = 4, size of lhs = 6:
% 0.13/0.43 P_someone-{F}(V0), P_aunt_agatha-{F}(V1), P_butler-{F}(V2), P_charles-{F}(V3), P_every_one_but-{F}(V4,V5), hates-{F}(V4,V5) | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #13: input, references = 4, size of lhs = 4:
% 0.13/0.43 P_someone-{F}(V0), P_aunt_agatha-{F}(V2), P_butler-{F}(V2), P_charles-{F}(V3) | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #14: input, references = 4, size of lhs = 5:
% 0.13/0.43 P_someone-{F}(V0), P_aunt_agatha-{F}(V1), P_butler-{F}(V2), P_charles-{F}(V3), killed-{F}(V1,V1) | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #15: input, references = 4, size of lhs = 0:
% 0.13/0.43 FALSE | EXISTS V0: P_someone-{T}(V0)
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #16: input, references = 4, size of lhs = 0:
% 0.13/0.43 FALSE | EXISTS V0: P_aunt_agatha-{T}(V0)
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #17: input, references = 5, size of lhs = 0:
% 0.13/0.43 FALSE | EXISTS V0: P_butler-{T}(V0)
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #18: input, references = 7, size of lhs = 0:
% 0.13/0.43 FALSE | EXISTS V0: P_charles-{T}(V0)
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #19: input, references = 4, size of lhs = 1:
% 0.13/0.43 #-{F} V0 | EXISTS V1: P_every_one_but-{T}(V0,V1)
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 number of initial rules = 20
% 0.13/0.43
% 0.13/0.43 Simplifiers:
% 0.13/0.43 #20: unsound, references = 3, size of lhs = 3:
% 0.13/0.43 killed-{F}(V0,V1), killed-{F}(V2,V3), V0 == V2 | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #21: unsound, references = 3, size of lhs = 3:
% 0.13/0.43 killed-{F}(V0,V1), killed-{F}(V2,V3), V1 == V3 | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #22: unsound, references = 3, size of lhs = 3:
% 0.13/0.43 richer-{F}(V0,V1), richer-{F}(V2,V3), V1 == V3 | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #23: unsound, references = 3, size of lhs = 3:
% 0.13/0.43 P_someone-{F}(V0), P_someone-{F}(V1), V0 == V1 | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #24: unsound, references = 3, size of lhs = 3:
% 0.13/0.43 P_aunt_agatha-{F}(V0), P_aunt_agatha-{F}(V1), V0 == V1 | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #25: unsound, references = 3, size of lhs = 3:
% 0.13/0.43 P_butler-{F}(V0), P_butler-{F}(V1), V0 == V1 | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #26: unsound, references = 3, size of lhs = 3:
% 0.13/0.43 P_charles-{F}(V0), P_charles-{F}(V1), V0 == V1 | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #27: unsound, references = 3, size of lhs = 3:
% 0.13/0.43 P_every_one_but-{F}(V0,V1), P_every_one_but-{F}(V0,V3), V1 == V3 | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 number of simplifiers = 8
% 0.13/0.43
% 0.13/0.43 Learnt:
% 0.13/0.43 #29: exists( #18, #14 ), references = 1, size of lhs = 4:
% 0.13/0.43 P_someone-{F}(V0), P_aunt_agatha-{F}(V1), killed-{F}(V1,V1), P_butler-{F}(V2) | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #31: exists( #17, #28 ), references = 2, size of lhs = 3:
% 0.13/0.43 P_someone-{F}(V0), P_aunt_agatha-{F}(V1), killed-{F}(V1,V1) | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #34: exists( #18, #13 ), references = 1, size of lhs = 3:
% 0.13/0.43 P_someone-{F}(V0), P_aunt_agatha-{F}(V1), P_butler-{F}(V1) | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #48: mergings( V2 == V5, V5 == V8, V6 == V9, V3 == V0, V0 == V10, V4 == V7, V7 == V11; #40 ), references = 1, size of lhs = 4:
% 0.13/0.43 P_someone-{F}(V0), P_aunt_agatha-{F}(V1), P_butler-{F}(V2), P_charles-{F}(V3) | P_every_one_but-{T}(V2,V2)
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #54: mergings( V0 == V5, V1 == V6, V2 == V7, V3 == V8; #49 ), references = 1, size of lhs = 5:
% 0.13/0.43 P_someone-{F}(V0), P_aunt_agatha-{F}(V1), P_butler-{F}(V2), P_charles-{F}(V3), P_every_one_but-{F}(V2,V4) | richer-{T}(V4,V1)
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #71: mergings( V1 == V3, V3 == V5, V5 == V8, V8 == V11, V11 == V14, V4 == V6, V6 == V9, V9 == V12, V12 == V15, V2 == V7, V7 == V10, V10 == V13, V13 == V16; #57 ), references = 2, size of lhs = 4:
% 0.13/0.43 P_someone-{F}(V0), P_aunt_agatha-{F}(V1), P_butler-{F}(V2), killed-{F}(V2,V1) | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #73: exists( #18, #5 ), references = 1, size of lhs = 6:
% 0.13/0.43 P_someone-{F}(V0), P_aunt_agatha-{F}(V1), P_butler-{F}(V2), lives_at_dreadsbury-{F}(V3), V3 == V1, V3 == V2 | P_charles-{T}(V3)
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #83: mergings( V1 == V4, V4 == V6, V6 == V7, V2 == V5, V5 == V8; #77 ), references = 1, size of lhs = 5:
% 0.13/0.43 lives_at_dreadsbury-{F}(V0), P_someone-{F}(V1), P_aunt_agatha-{F}(V2), V0 == V2, killed-{F}(V0,V3) | P_butler-{T}(V0), P_butler-{T}(V3)
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #92: mergings( V0 == V3, V3 == V5, V5 == V6, V6 == V9, V1 == V4, V4 == V7, V7 == V8; #84 ), references = 1, size of lhs = 5:
% 0.13/0.43 lives_at_dreadsbury-{F}(V0), killed-{F}(V0,V1), V0 == V1, P_aunt_agatha-{F}(V1), P_someone-{F}(V2) | P_butler-{T}(V0)
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #102: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #95 ), references = 1, size of lhs = 2:
% 0.13/0.43 lives_at_dreadsbury-{F}(V0), P_someone-{F}(V0) | P_aunt_agatha-{T}(V0)
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 #107: exists( #15, #105 ), references = 1, size of lhs = 0:
% 0.13/0.43 FALSE | FALSE
% 0.13/0.43 (used 0 times, uses = {})
% 0.13/0.43
% 0.13/0.43 number of learnt formulas = 11
% 0.13/0.43
% 0.13/0.43
% 0.13/0.43 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.43
% 0.13/0.43 randbase = 1
%------------------------------------------------------------------------------