TSTP Solution File: HEN005-4 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : HEN005-4 : TPTP v8.1.0. Released v1.0.0.
% 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 06:04:41 EDT 2022
% Result : Unsatisfiable 0.18s 0.47s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : HEN005-4 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n023.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 21:24:35 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.47 GeoParameters:
% 0.18/0.47
% 0.18/0.47 tptp_input = 1
% 0.18/0.47 tptp_output = 0
% 0.18/0.47 nonempty = 1
% 0.18/0.47 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.47 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.18/0.47
% 0.18/0.47
% 0.18/0.47 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.47 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.47
% 0.18/0.47 RuleSystem INPUT:
% 0.18/0.47
% 0.18/0.47 Initial Rules:
% 0.18/0.47 #0: input, references = 5, size of lhs = 4:
% 0.18/0.47 P_zero-{F}(V0), P_divide-{F}(V1,V2,V3), less_equal-{F}(V1,V2), V3 == V0 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #1: input, references = 4, size of lhs = 2:
% 0.18/0.47 P_zero-{F}(V0), P_divide-{F}(V1,V2,V0) | less_equal-{T}(V1,V2)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #2: input, references = 3, size of lhs = 2:
% 0.18/0.47 P_zero-{F}(V0), P_divide-{F}(V1,V2,V3) | less_equal-{T}(V3,V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #3: input, references = 4, size of lhs = 6:
% 0.18/0.47 P_zero-{F}(V0), P_divide-{F}(V1,V3,V4), P_divide-{F}(V2,V3,V5), P_divide-{F}(V4,V5,V6), P_divide-{F}(V1,V2,V7), P_divide-{F}(V7,V3,V8) | less_equal-{T}(V6,V8)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #4: input, references = 5, size of lhs = 2:
% 0.18/0.47 P_zero-{F}(V0), #-{F} V1 | less_equal-{T}(V0,V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #5: input, references = 5, size of lhs = 4:
% 0.18/0.47 P_zero-{F}(V0), less_equal-{F}(V1,V2), less_equal-{F}(V2,V1), V1 == V2 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #6: input, references = 5, size of lhs = 3:
% 0.18/0.47 P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | less_equal-{T}(V2,V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #7: input, references = 3, size of lhs = 4:
% 0.18/0.47 P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V2,V1,V3), V3 == V0 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #8: input, references = 4, size of lhs = 4:
% 0.18/0.47 P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V0,V2,V3), V3 == V0 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #9: input, references = 4, size of lhs = 4:
% 0.18/0.47 P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V2,V2,V3), V3 == V0 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #10: input, references = 4, size of lhs = 4:
% 0.18/0.47 P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V2,V0,V3), V3 == V2 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #11: input, references = 5, size of lhs = 4:
% 0.18/0.47 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3) | less_equal-{T}(V2,V3)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #12: input, references = 6, size of lhs = 5:
% 0.18/0.47 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4) | less_equal-{T}(V3,V4)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #13: input, references = 6, size of lhs = 6:
% 0.18/0.47 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), less_equal-{F}(V2,V4) | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #14: input, references = 7, size of lhs = 2:
% 0.18/0.47 #-{F} V0, #-{F} V1 | EXISTS V2: P_divide-{T}(V0,V1,V2)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #15: input, references = 4, size of lhs = 0:
% 0.18/0.47 FALSE | EXISTS V0: P_zero-{T}(V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #16: input, references = 4, size of lhs = 0:
% 0.18/0.47 FALSE | EXISTS V0: P_identity-{T}(V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #17: input, references = 4, size of lhs = 0:
% 0.18/0.47 FALSE | EXISTS V0: P_a-{T}(V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #18: input, references = 6, size of lhs = 0:
% 0.18/0.47 FALSE | EXISTS V0: P_b-{T}(V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #19: input, references = 7, size of lhs = 0:
% 0.18/0.47 FALSE | EXISTS V0: P_c-{T}(V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 number of initial rules = 20
% 0.18/0.47
% 0.18/0.47 Simplifiers:
% 0.18/0.47 #20: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 P_divide-{F}(V0,V1,V2), P_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #21: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #22: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #23: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #24: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #25: unsound, references = 3, size of lhs = 3:
% 0.18/0.47 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 number of simplifiers = 6
% 0.18/0.47
% 0.18/0.47 Learnt:
% 0.18/0.47 #35: mergings( V1 == V5, V2 == V6, V3 == V4, V4 == V7; #30 ), references = 1, size of lhs = 4:
% 0.18/0.47 P_a-{F}(V0), P_b-{F}(V0), P_zero-{F}(V1), P_identity-{F}(V2) | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #42: mergings( V1 == V3, V3 == V5, V2 == V4; #38 ), references = 1, size of lhs = 3:
% 0.18/0.47 P_a-{F}(V0), P_identity-{F}(V0), P_zero-{F}(V1) | P_b-{T}(V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #47: mergings( V1 == V2; #45 ), references = 1, size of lhs = 4:
% 0.18/0.47 P_a-{F}(V0), P_zero-{F}(V0), P_identity-{F}(V1), P_b-{F}(V2) | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #50: mergings( V1 == V2; #48 ), references = 1, size of lhs = 3:
% 0.18/0.47 P_a-{F}(V0), P_zero-{F}(V0), P_identity-{F}(V1) | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #52: exists( #14, #9 ), references = 1, size of lhs = 3:
% 0.18/0.47 P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | P_divide-{T}(V2,V2,V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #55: exists( #14, #10 ), references = 2, size of lhs = 3:
% 0.18/0.47 P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | P_divide-{T}(V2,V0,V2)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #58: exists( #14, #0 ), references = 4, size of lhs = 2:
% 0.18/0.47 P_zero-{F}(V0), less_equal-{F}(V1,V2) | P_divide-{T}(V1,V2,V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #59: exists( #14, #8 ), references = 1, size of lhs = 3:
% 0.18/0.47 P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | P_divide-{T}(V0,V2,V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #66: mergings( V1 == V3, V3 == V6, V2 == V4; #62 ), references = 1, size of lhs = 4:
% 0.18/0.47 P_b-{F}(V0), P_identity-{F}(V0), P_a-{F}(V1), P_zero-{F}(V2) | P_c-{T}(V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #81: mergings( V3 == V5, V5 == V6; #77 ), references = 2, size of lhs = 5:
% 0.18/0.47 P_identity-{F}(V0), P_zero-{F}(V1), P_divide-{F}(V2,V3,V1), P_divide-{F}(V4,V3,V1), P_divide-{F}(V5,V2,V4) | P_divide-{T}(V5,V3,V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #97: mergings( V1 == V2, V2 == V7, V7 == V8, V3 == V6, V6 == V9, V4 == V10, V5 == V11; #89 ), references = 1, size of lhs = 5:
% 0.18/0.47 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_divide-{F}(V2,V3,V0) | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #109: mergings( V1 == V3, V3 == V4, V4 == V8, V8 == V9, V2 == V5, V5 == V7, V7 == V10, V6 == V11; #100 ), references = 1, size of lhs = 3:
% 0.18/0.47 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2) | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #118: mergings( V1 == V3, V3 == V4, V4 == V7, V7 == V8, V2 == V5, V5 == V6, V6 == V9; #110 ), references = 1, size of lhs = 2:
% 0.18/0.47 P_zero-{F}(V0), P_identity-{F}(V1) | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #124: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5; #119 ), references = 1, size of lhs = 1:
% 0.18/0.47 P_zero-{F}(V0) | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #126: exists( #15, #119 ), references = 1, size of lhs = 0:
% 0.18/0.47 FALSE | FALSE
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 number of learnt formulas = 15
% 0.18/0.47
% 0.18/0.47
% 0.18/0.47 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.47
% 0.18/0.47 randbase = 1
%------------------------------------------------------------------------------