TSTP Solution File: HEN010-5 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : HEN010-5 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n008.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 06:04:45 EDT 2022
% Result : Unsatisfiable 1.38s 1.61s
% Output : Refutation 1.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HEN010-5 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n008.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 21:07:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.38/1.61 GeoParameters:
% 1.38/1.61
% 1.38/1.61 tptp_input = 1
% 1.38/1.61 tptp_output = 0
% 1.38/1.61 nonempty = 1
% 1.38/1.61 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.38/1.61 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.38/1.61
% 1.38/1.61
% 1.38/1.61 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.38/1.61 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.38/1.61
% 1.38/1.61 RuleSystem INPUT:
% 1.38/1.61
% 1.38/1.61 Initial Rules:
% 1.38/1.61 #0: input, references = 4, size of lhs = 4:
% 1.38/1.61 P_zero-{F}(V0), P_divide-{F}(V1,V2,V3), P_divide-{F}(V3,V1,V4), V4 == V0 | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #1: input, references = 5, size of lhs = 8:
% 1.38/1.61 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), P_divide-{F}(V6,V8,V9), V9 == V0 | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #2: input, references = 4, size of lhs = 3:
% 1.38/1.61 P_zero-{F}(V0), P_divide-{F}(V0,V1,V2), V2 == V0 | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #3: input, references = 8, size of lhs = 4:
% 1.38/1.61 P_zero-{F}(V0), P_divide-{F}(V1,V2,V0), P_divide-{F}(V2,V1,V0), V1 == V2 | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #4: input, references = 5, size of lhs = 4:
% 1.38/1.61 P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V2,V1,V3), V3 == V0 | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #5: input, references = 3, size of lhs = 6:
% 1.38/1.61 P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V2,V3,V0), P_divide-{F}(V5,V2,V0), P_divide-{F}(V5,V3,V7), V7 == V0 | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #6: input, references = 5, size of lhs = 7:
% 1.38/1.61 P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V2,V3,V5), P_divide-{F}(V5,V4,V0), P_divide-{F}(V2,V4,V7), P_divide-{F}(V7,V3,V8), V8 == V0 | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #7: input, references = 4, size of lhs = 7:
% 1.38/1.61 P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V2,V3,V0), P_divide-{F}(V2,V5,V6), P_divide-{F}(V3,V5,V7), P_divide-{F}(V6,V7,V8), V8 == V0 | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #8: input, references = 4, size of lhs = 6:
% 1.38/1.61 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_divide-{F}(V1,V2,V5), P_divide-{F}(V1,V5,V4), P_divide-{F}(V5,V4,V5) | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #9: input, references = 17, size of lhs = 2:
% 1.38/1.61 #-{F} V0, #-{F} V1 | EXISTS V2: P_divide-{T}(V0,V1,V2)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #10: input, references = 4, size of lhs = 0:
% 1.38/1.61 FALSE | EXISTS V0: P_zero-{T}(V0)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #11: input, references = 4, size of lhs = 0:
% 1.38/1.61 FALSE | EXISTS V0: P_identity-{T}(V0)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #12: input, references = 4, size of lhs = 0:
% 1.38/1.61 FALSE | EXISTS V0: P_a-{T}(V0)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 number of initial rules = 13
% 1.38/1.61
% 1.38/1.61 Simplifiers:
% 1.38/1.61 #13: unsound, references = 3, size of lhs = 3:
% 1.38/1.61 P_divide-{F}(V0,V1,V2), P_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #14: unsound, references = 3, size of lhs = 3:
% 1.38/1.61 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #15: unsound, references = 3, size of lhs = 3:
% 1.38/1.61 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #16: unsound, references = 3, size of lhs = 3:
% 1.38/1.61 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 number of simplifiers = 4
% 1.38/1.61
% 1.38/1.61 Learnt:
% 1.38/1.61 #18: exists( #9, #4 ), references = 1, size of lhs = 3:
% 1.38/1.61 P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | P_divide-{T}(V2,V1,V0)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #22: exists( #9, #2 ), references = 3, size of lhs = 2:
% 1.38/1.61 P_zero-{F}(V0), #-{F} V1 | P_divide-{T}(V0,V1,V0)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #23: exists( #9, #0 ), references = 6, size of lhs = 2:
% 1.38/1.61 P_zero-{F}(V0), P_divide-{F}(V1,V2,V3) | P_divide-{T}(V3,V1,V0)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #24: exists( #9, #6 ), references = 7, size of lhs = 5:
% 1.38/1.61 P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V2,V3,V0), P_divide-{F}(V4,V5,V2), P_divide-{F}(V4,V3,V6) | P_divide-{T}(V6,V5,V0)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #26: exists( #9, #7 ), references = 6, size of lhs = 5:
% 1.38/1.61 P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V2,V3,V0), P_divide-{F}(V2,V4,V5), P_divide-{F}(V3,V4,V6) | P_divide-{T}(V5,V6,V0)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #31: exists( #9, #29 ), references = 1, size of lhs = 4:
% 1.38/1.61 P_identity-{F}(V0), P_zero-{F}(V1), P_divide-{F}(V2,V1,V3), P_divide-{F}(V3,V4,V1) | P_divide-{T}(V2,V4,V1)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #37: mergings( V3 == V4; #35 ), references = 3, size of lhs = 3:
% 1.38/1.61 P_identity-{F}(V0), P_zero-{F}(V1), P_divide-{F}(V2,V2,V1) | P_divide-{T}(V2,V1,V2)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #46: exists( #9, #42 ), references = 1, size of lhs = 5:
% 1.38/1.61 P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V2,V2,V3), P_divide-{F}(V3,V4,V5), V5 == V0 | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #48: mergings( V3 == V4; #45 ), references = 1, size of lhs = 6:
% 1.38/1.61 P_zero-{F}(V0), P_divide-{F}(V1,V1,V2), P_divide-{F}(V3,V1,V4), P_divide-{F}(V2,V4,V5), P_divide-{F}(V5,V0,V6), V6 == V0 | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #50: exists( #9, #1 ), references = 1, size of lhs = 6:
% 1.38/1.61 P_zero-{F}(V0), P_divide-{F}(V1,V2,V3), P_divide-{F}(V4,V2,V5), P_divide-{F}(V3,V5,V6), P_divide-{F}(V1,V4,V7), P_divide-{F}(V7,V2,V8) | P_divide-{T}(V6,V8,V0)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #54: exists( #9, #52 ), references = 6, size of lhs = 5:
% 1.38/1.61 P_zero-{F}(V0), P_divide-{F}(V1,V2,V3), P_divide-{F}(V1,V4,V5), P_divide-{F}(V4,V2,V6), P_divide-{F}(V3,V6,V5) | P_divide-{T}(V5,V2,V5)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #69: mergings( V3 == V4; #67 ), references = 1, size of lhs = 6:
% 1.38/1.61 P_identity-{F}(V0), P_zero-{F}(V1), P_divide-{F}(V2,V3,V1), P_divide-{F}(V4,V2,V1), P_divide-{F}(V3,V5,V6), P_divide-{F}(V4,V5,V6) | P_divide-{T}(V2,V5,V6)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #84: mergings( V4 == V5, V5 == V8, V8 == V11, V3 == V6, V6 == V7, V7 == V9, V9 == V10; #76 ), references = 1, size of lhs = 13:
% 1.38/1.61 P_identity-{F}(V0), P_zero-{F}(V1), P_divide-{F}(V2,V3,V1), P_divide-{F}(V3,V2,V4), P_divide-{F}(V4,V5,V1), P_divide-{F}(V5,V5,V6), P_divide-{F}(V3,V6,V3), P_divide-{F}(V5,V6,V5), P_divide-{F}(V7,V5,V1), P_divide-{F}(V2,V8,V7), P_divide-{F}(V3,V8,V9), V5 == V9, P_divide-{F}(V5,V9,V1) | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #100: mergings( V5 == V7, V7 == V8, V8 == V11, V11 == V14, V3 == V4, V4 == V6, V6 == V9, V9 == V10, V10 == V12, V12 == V13; #89 ), references = 1, size of lhs = 10:
% 1.38/1.61 P_identity-{F}(V0), P_zero-{F}(V1), P_divide-{F}(V2,V1,V2), P_divide-{F}(V2,V2,V1), P_divide-{F}(V3,V1,V3), P_divide-{F}(V3,V2,V1), P_divide-{F}(V3,V4,V1), P_divide-{F}(V2,V4,V5), P_divide-{F}(V2,V5,V6), P_divide-{F}(V6,V3,V1) | P_divide-{T}(V2,V3,V5)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #125: mergings( V14 == V17, V1 == V22, V5 == V8, V8 == V10, V10 == V11, V11 == V17, V17 == V18, V18 == V19, V3 == V4, V4 == V6, V6 == V7, V7 == V9, V9 == V12, V12 == V13, V13 == V15, V15 == V16, V16 == V0; #107 ), references = 1, size of lhs = 9:
% 1.38/1.61 P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V1,V1,V0), P_divide-{F}(V1,V0,V1), P_a-{F}(V2), P_divide-{F}(V1,V2,V3), P_divide-{F}(V3,V0,V3), P_divide-{F}(V3,V3,V0), P_divide-{F}(V1,V4,V3) | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #146: mergings( V7 == V10, V10 == V12, V12 == V13, V13 == V18, V18 == V19, V19 == V20, V3 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V9, V9 == V11, V11 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V0; #128 ), references = 1, size of lhs = 5:
% 1.38/1.61 P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V1,V0,V1), P_divide-{F}(V1,V1,V0), P_a-{F}(V2) | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #165: mergings( V5 == V8, V8 == V10, V10 == V11, V11 == V16, V16 == V17, V17 == V18, V1 == V2, V2 == V3, V3 == V4, V4 == V6, V6 == V7, V7 == V9, V9 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V19; #147 ), references = 1, size of lhs = 4:
% 1.38/1.61 P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V1,V0,V1), P_divide-{F}(V1,V1,V0) | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #175: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #168 ), references = 1, size of lhs = 1:
% 1.38/1.61 P_zero-{F}(V0) | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #177: exists( #10, #168 ), references = 1, size of lhs = 0:
% 1.38/1.61 FALSE | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 number of learnt formulas = 19
% 1.38/1.61
% 1.38/1.61
% 1.38/1.61 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.38/1.61
% 1.38/1.61 randbase = 1
%------------------------------------------------------------------------------