TSTP Solution File: PUZ047-1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : PUZ047-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n005.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 06:14:22 EDT 2022
% Result : Unsatisfiable 0.19s 5.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/5.18 % Problem : PUZ047-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/5.19 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/5.39 % Computer : n005.cluster.edu
% 0.12/5.39 % Model : x86_64 x86_64
% 0.12/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.39 % Memory : 8042.1875MB
% 0.12/5.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/5.39 % CPULimit : 300
% 0.12/5.39 % WCLimit : 300
% 0.12/5.39 % DateTime : Fri Jul 22 06:59:02 EDT 2022
% 0.12/5.39 % CPUTime :
% 0.19/5.49 GeoParameters:
% 0.19/5.49
% 0.19/5.49 tptp_input = 1
% 0.19/5.49 tptp_output = 0
% 0.19/5.49 nonempty = 1
% 0.19/5.49 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/5.49 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.19/5.49
% 0.19/5.49
% 0.19/5.49 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/5.49 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/5.49
% 0.19/5.49 RuleSystem INPUT:
% 0.19/5.49
% 0.19/5.49 Initial Rules:
% 0.19/5.49 #0: input, references = 4, size of lhs = 2:
% 0.19/5.49 P_south-{F}(V0), P_start-{F}(V1) | p-{T}(V0,V0,V0,V0,V1)
% 0.19/5.49 (used 0 times, uses = {})
% 0.19/5.49
% 0.19/5.49 #1: input, references = 3, size of lhs = 5:
% 0.19/5.49 P_south-{F}(V0), P_start-{F}(V1), P_north-{F}(V2), P_go_alone-{F}(V3,V4), p-{F}(V0,V2,V0,V2,V3) | p-{T}(V2,V2,V0,V2,V4)
% 0.19/5.49 (used 0 times, uses = {})
% 0.19/5.49
% 0.19/5.49 #2: input, references = 4, size of lhs = 5:
% 0.19/5.49 P_south-{F}(V0), P_start-{F}(V1), P_north-{F}(V2), P_go_alone-{F}(V3,V4), p-{F}(V2,V2,V0,V2,V3) | p-{T}(V0,V2,V0,V2,V4)
% 0.19/5.49 (used 0 times, uses = {})
% 0.19/5.49
% 0.19/5.49 #3: input, references = 3, size of lhs = 5:
% 0.19/5.49 P_south-{F}(V0), P_start-{F}(V1), P_north-{F}(V2), P_go_alone-{F}(V3,V4), p-{F}(V0,V0,V2,V0,V3) | p-{T}(V2,V0,V2,V0,V4)
% 0.19/5.49 (used 0 times, uses = {})
% 0.19/5.49
% 0.19/5.49 #4: input, references = 4, size of lhs = 5:
% 0.19/5.49 P_south-{F}(V0), P_start-{F}(V1), P_north-{F}(V2), P_go_alone-{F}(V3,V4), p-{F}(V2,V0,V2,V0,V3) | p-{T}(V0,V0,V2,V0,V4)
% 0.19/5.49 (used 0 times, uses = {})
% 0.19/5.49
% 0.19/5.49 #5: input, references = 3, size of lhs = 5:
% 0.19/5.49 P_south-{F}(V0), P_start-{F}(V1), P_north-{F}(V2), P_take_wolf-{F}(V3,V4), p-{F}(V0,V0,V0,V2,V3) | p-{T}(V2,V2,V0,V2,V4)
% 0.19/5.49 (used 0 times, uses = {})
% 0.19/5.49
% 0.19/5.49 #6: input, references = 3, size of lhs = 5:
% 0.19/5.49 P_south-{F}(V0), P_start-{F}(V1), P_north-{F}(V2), P_take_wolf-{F}(V3,V4), p-{F}(V2,V2,V0,V2,V3) | p-{T}(V0,V0,V0,V2,V4)
% 0.19/5.49 (used 0 times, uses = {})
% 0.19/5.49
% 0.19/5.49 #7: input, references = 4, size of lhs = 5:
% 0.19/5.49 P_south-{F}(V0), P_start-{F}(V1), P_north-{F}(V2), P_take_wolf-{F}(V3,V4), p-{F}(V0,V0,V2,V0,V3) | p-{T}(V2,V2,V2,V0,V4)
% 0.19/5.49 (used 0 times, uses = {})
% 0.19/5.49
% 0.19/5.49 #8: input, references = 3, size of lhs = 5:
% 0.19/5.49 P_south-{F}(V0), P_start-{F}(V1), P_north-{F}(V2), P_take_wolf-{F}(V3,V4), p-{F}(V2,V2,V2,V0,V3) | p-{T}(V0,V0,V2,V0,V4)
% 0.19/5.49 (used 0 times, uses = {})
% 0.19/5.49
% 0.19/5.49 #9: input, references = 5, size of lhs = 5:
% 0.19/5.49 P_south-{F}(V0), P_start-{F}(V1), P_north-{F}(V2), P_take_goat-{F}(V5,V6), p-{F}(V0,V3,V0,V4,V5) | p-{T}(V2,V3,V2,V4,V6)
% 0.19/5.49 (used 0 times, uses = {})
% 0.19/5.49
% 0.19/5.49 #10: input, references = 4, size of lhs = 5:
% 0.19/5.49 P_south-{F}(V0), P_start-{F}(V1), P_north-{F}(V2), P_take_goat-{F}(V5,V6), p-{F}(V2,V3,V2,V4,V5) | p-{T}(V0,V3,V0,V4,V6)
% 0.19/5.49 (used 0 times, uses = {})
% 0.19/5.49
% 0.19/5.49 #11: input, references = 4, size of lhs = 5:
% 0.19/5.49 P_south-{F}(V0), P_start-{F}(V1), P_north-{F}(V2), P_take_cabbage-{F}(V3,V4), p-{F}(V0,V2,V0,V0,V3) | p-{T}(V2,V2,V0,V2,V4)
% 0.19/5.49 (used 0 times, uses = {})
% 0.19/5.49
% 0.19/5.49 #12: input, references = 3, size of lhs = 5:
% 0.19/5.49 P_south-{F}(V0), P_start-{F}(V1), P_north-{F}(V2), P_take_cabbage-{F}(V3,V4), p-{F}(V2,V2,V0,V2,V3) | p-{T}(V0,V2,V0,V0,V4)
% 0.19/5.49 (used 0 times, uses = {})
% 0.19/5.49
% 0.19/5.49 #13: input, references = 3, size of lhs = 5:
% 0.19/5.49 P_south-{F}(V0), P_start-{F}(V1), P_north-{F}(V2), P_take_cabbage-{F}(V3,V4), p-{F}(V0,V0,V2,V0,V3) | p-{T}(V2,V0,V2,V2,V4)
% 0.19/5.49 (used 0 times, uses = {})
% 0.19/5.49
% 0.19/5.49 #14: input, references = 3, size of lhs = 5:
% 0.19/5.49 P_south-{F}(V0), P_start-{F}(V1), P_north-{F}(V2), P_take_cabbage-{F}(V3,V4), p-{F}(V2,V0,V2,V2,V3) | p-{T}(V0,V0,V2,V0,V4)
% 0.19/5.49 (used 0 times, uses = {})
% 0.19/5.49
% 0.19/5.49 #15: input, references = 4, size of lhs = 4:
% 0.19/5.49 P_south-{F}(V0), P_start-{F}(V1), P_north-{F}(V2), p-{F}(V2,V2,V2,V2,V3) | FALSE
% 0.19/5.49 (used 0 times, uses = {})
% 0.19/5.49
% 0.19/5.49 #16: input, references = 4, size of lhs = 0:
% 0.19/5.49 FALSE | EXISTS V0: P_south-{T}(V0)
% 0.19/5.49 (used 0 times, uses = {})
% 0.19/5.49
% 0.19/5.49 #17: input, references = 4, size of lhs = 0:
% 0.19/5.49 FALSE | EXISTS V0: P_start-{T}(V0)
% 0.19/5.49 (used 0 times, uses = {})
% 0.19/5.49
% 0.19/5.49 #18: input, references = 4, size of lhs = 0:
% 0.19/5.49 FALSE | EXISTS V0: P_north-{T}(V0)
% 0.19/5.49 (used 0 times, uses = {})
% 0.19/5.49
% 0.19/5.49 #19: input, references = 5, size of lhs = 1:
% 0.19/5.49 #-{F} V0 | EXISTS V1: P_go_alone-{T}(V0,V1)
% 0.19/5.49 (used 0 times, uses = {})
% 0.19/5.49
% 0.19/5.49 #20: input, references = 4, size of lhs = 1:
% 0.19/5.49 #-{F} V0 | EXISTS V1: P_take_wolf-{T}(V0,V1)
% 0.19/5.49 (used 0 times, uses = {})
% 0.19/5.49
% 0.19/5.49 #21: input, references = 6, size of lhs = 1:
% 0.19/5.49 #-{F} V0 | EXISTS V1: P_take_goat-{T}(V0,V1)
% 0.19/5.49 (used 0 times, uses = {})
% 0.19/5.49
% 0.19/5.49 #22: input, references = 4, size of lhs = 1:
% 0.19/5.49 #-{F} V0 | EXISTS V1: P_take_cabbage-{T}(V0,V1)
% 0.19/5.49 (used 0 times, uses = {})
% 0.19/5.49
% 0.19/5.49 number of initial rules = 23
% 0.19/5.49
% 0.19/5.49 Simplifiers:
% 0.19/5.49 #23: unsound, references = 3, size of lhs = 3:
% 0.19/5.49 P_south-{F}(V0), P_south-{F}(V1), V0 == V1 | FALSE
% 0.19/5.49 (used 0 times, uses = {})
% 0.19/5.49
% 0.19/5.49 #24: unsound, references = 3, size of lhs = 3:
% 0.19/5.49 P_start-{F}(V0), P_start-{F}(V1), V0 == V1 | FALSE
% 0.19/5.49 (used 0 times, uses = {})
% 0.19/5.49
% 0.19/5.49 #25: unsound, references = 3, size of lhs = 3:
% 0.19/5.49 P_north-{F}(V0), P_north-{F}(V1), V0 == V1 | FALSE
% 0.19/5.49 (used 0 times, uses = {})
% 0.19/5.49
% 0.19/5.49 #26: unsound, references = 3, size of lhs = 3:
% 0.19/5.49 P_go_alone-{F}(V0,V1), P_go_alone-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/5.49 (used 0 times, uses = {})
% 0.19/5.49
% 0.19/5.49 #27: unsound, references = 3, size of lhs = 3:
% 0.19/5.49 P_take_wolf-{F}(V0,V1), P_take_wolf-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/5.49 (used 0 times, uses = {})
% 0.19/5.49
% 0.19/5.49 #28: unsound, references = 3, size of lhs = 3:
% 0.19/5.49 P_take_goat-{F}(V0,V1), P_take_goat-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/5.49 (used 0 times, uses = {})
% 0.19/5.49
% 0.19/5.49 #29: unsound, references = 3, size of lhs = 3:
% 0.19/5.49 P_take_cabbage-{F}(V0,V1), P_take_cabbage-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/5.49 (used 0 times, uses = {})
% 0.19/5.49
% 0.19/5.49 number of simplifiers = 7
% 0.19/5.49
% 0.19/5.49 Learnt:
% 0.19/5.49 #46: mergings( V2 == V4, V3 == V5; #43 ), references = 1, size of lhs = 4:
% 0.19/5.49 P_south-{F}(V0), P_start-{F}(V1), P_north-{F}(V2), p-{F}(V0,V2,V0,V2,V3) | FALSE
% 0.19/5.49 (used 0 times, uses = {})
% 0.19/5.49
% 0.19/5.49 #52: mergings( V3 == V5, V2 == V4, V4 == V6; #48 ), references = 1, size of lhs = 4:
% 0.19/5.49 P_south-{F}(V0), P_start-{F}(V1), P_north-{F}(V2), p-{F}(V2,V2,V0,V2,V3) | FALSE
% 0.19/5.49 (used 0 times, uses = {})
% 0.19/5.49
% 0.19/5.49 #59: mergings( V4 == V6, V2 == V3, V3 == V5, V5 == V7; #54 ), references = 2, size of lhs = 4:
% 0.19/5.49 P_south-{F}(V0), P_start-{F}(V1), P_north-{F}(V2), p-{F}(V0,V2,V0,V0,V3) | FALSE
% 0.19/5.49 (used 0 times, uses = {})
% 0.19/5.49
% 0.19/5.49 #71: mergings( V2 == V5, V3 == V6; #68 ), references = 1, size of lhs = 4:
% 0.19/5.49 P_south-{F}(V0), P_start-{F}(V1), P_north-{F}(V2), p-{F}(V2,V2,V2,V0,V3) | FALSE
% 0.19/5.49 (used 0 times, uses = {})
% 0.19/5.49
% 0.19/5.49 #76: mergings( V2 == V3, V3 == V5; #73 ), references = 1, size of lhs = 4:
% 0.19/5.49 P_south-{F}(V0), P_start-{F}(V1), P_north-{F}(V2), p-{F}(V0,V0,V2,V0,V3) | FALSE
% 0.19/5.49 (used 0 times, uses = {})
% 0.19/5.49
% 0.19/5.49 #82: mergings( V2 == V3, V3 == V4, V4 == V6; #78 ), references = 1, size of lhs = 4:
% 0.19/5.49 P_south-{F}(V0), P_start-{F}(V1), P_north-{F}(V2), p-{F}(V2,V0,V2,V0,V3) | FALSE
% 0.19/5.49 (used 0 times, uses = {})
% 0.19/5.49
% 0.19/5.49 #90: mergings( V2 == V7, V3 == V4, V4 == V5, V5 == V6, V6 == V8; #84 ), references = 1, size of lhs = 4:
% 0.19/5.49 P_south-{F}(V0), p-{F}(V0,V0,V0,V0,V1), P_start-{F}(V2), P_north-{F}(V3) | FALSE
% 0.19/5.49 (used 0 times, uses = {})
% 0.19/5.49
% 0.19/5.49 #97: mergings( V1 == V6, V2 == V3, V3 == V4, V4 == V5, V5 == V8; #91 ), references = 1, size of lhs = 3:
% 0.19/5.49 P_south-{F}(V0), p-{F}(V0,V0,V0,V0,V1), P_start-{F}(V2) | FALSE
% 0.19/5.49 (used 0 times, uses = {})
% 0.19/5.49
% 0.19/5.49 #100: exists( #17, #98 ), references = 1, size of lhs = 1:
% 0.19/5.49 P_south-{F}(V0) | FALSE
% 0.19/5.49 (used 0 times, uses = {})
% 0.19/5.49
% 0.19/5.49 #102: exists( #16, #99 ), references = 1, size of lhs = 0:
% 0.19/5.49 FALSE | FALSE
% 0.19/5.49 (used 0 times, uses = {})
% 0.19/5.49
% 0.19/5.49 number of learnt formulas = 10
% 0.19/5.49
% 0.19/5.49
% 0.19/5.49 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/5.49
% 0.19/5.49 randbase = 1
%------------------------------------------------------------------------------