TSTP Solution File: HEN009-4 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : HEN009-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n004.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 06:04:44 EDT 2022
% Result : Unsatisfiable 1.06s 1.28s
% Output : Refutation 1.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : HEN009-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n004.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 21:00:36 EDT 2022
% 0.18/0.33 % CPUTime :
% 1.06/1.28 GeoParameters:
% 1.06/1.28
% 1.06/1.28 tptp_input = 1
% 1.06/1.28 tptp_output = 0
% 1.06/1.28 nonempty = 1
% 1.06/1.28 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.06/1.28 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.06/1.28
% 1.06/1.28
% 1.06/1.28 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.06/1.28 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.06/1.28
% 1.06/1.28 RuleSystem INPUT:
% 1.06/1.28
% 1.06/1.28 Initial Rules:
% 1.06/1.28 #0: input, references = 5, size of lhs = 4:
% 1.06/1.28 P_zero-{F}(V0), P_divide-{F}(V1,V2,V3), less_equal-{F}(V1,V2), V3 == V0 | FALSE
% 1.06/1.28 (used 0 times, uses = {})
% 1.06/1.28
% 1.06/1.28 #1: input, references = 8, size of lhs = 2:
% 1.06/1.28 P_zero-{F}(V0), P_divide-{F}(V1,V2,V0) | less_equal-{T}(V1,V2)
% 1.06/1.28 (used 0 times, uses = {})
% 1.06/1.28
% 1.06/1.28 #2: input, references = 7, size of lhs = 2:
% 1.06/1.28 P_zero-{F}(V0), P_divide-{F}(V1,V2,V3) | less_equal-{T}(V3,V1)
% 1.06/1.28 (used 0 times, uses = {})
% 1.06/1.28
% 1.06/1.28 #3: input, references = 6, size of lhs = 6:
% 1.06/1.28 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)
% 1.06/1.28 (used 0 times, uses = {})
% 1.06/1.28
% 1.06/1.28 #4: input, references = 5, size of lhs = 2:
% 1.06/1.28 P_zero-{F}(V0), #-{F} V1 | less_equal-{T}(V0,V1)
% 1.06/1.28 (used 0 times, uses = {})
% 1.06/1.28
% 1.06/1.28 #5: input, references = 9, size of lhs = 4:
% 1.06/1.28 P_zero-{F}(V0), less_equal-{F}(V1,V2), less_equal-{F}(V2,V1), V1 == V2 | FALSE
% 1.06/1.28 (used 0 times, uses = {})
% 1.06/1.28
% 1.06/1.28 #6: input, references = 3, size of lhs = 3:
% 1.06/1.28 P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | less_equal-{T}(V2,V1)
% 1.06/1.28 (used 0 times, uses = {})
% 1.06/1.28
% 1.06/1.28 #7: input, references = 3, size of lhs = 4:
% 1.06/1.28 P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V2,V1,V3), V3 == V0 | FALSE
% 1.06/1.28 (used 0 times, uses = {})
% 1.06/1.28
% 1.06/1.28 #8: input, references = 4, size of lhs = 4:
% 1.06/1.28 P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V0,V2,V3), V3 == V0 | FALSE
% 1.06/1.28 (used 0 times, uses = {})
% 1.06/1.28
% 1.06/1.28 #9: input, references = 4, size of lhs = 4:
% 1.06/1.28 P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V2,V2,V3), V3 == V0 | FALSE
% 1.06/1.28 (used 0 times, uses = {})
% 1.06/1.28
% 1.06/1.28 #10: input, references = 4, size of lhs = 5:
% 1.06/1.28 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_divide-{F}(V2,V0,V3), V3 == V2 | FALSE
% 1.06/1.28 (used 0 times, uses = {})
% 1.06/1.28
% 1.06/1.28 #11: input, references = 3, size of lhs = 6:
% 1.06/1.28 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_divide-{F}(V2,V0,V3), less_equal-{F}(V4,V5), less_equal-{F}(V6,V4) | less_equal-{T}(V6,V5)
% 1.06/1.28 (used 0 times, uses = {})
% 1.06/1.28
% 1.06/1.28 #12: input, references = 7, size of lhs = 7:
% 1.06/1.28 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_divide-{F}(V2,V0,V3), P_divide-{F}(V4,V5,V7), P_divide-{F}(V4,V6,V8), less_equal-{F}(V7,V6) | less_equal-{T}(V8,V5)
% 1.06/1.28 (used 0 times, uses = {})
% 1.06/1.28
% 1.06/1.28 #13: input, references = 4, size of lhs = 7:
% 1.06/1.28 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_divide-{F}(V2,V0,V3), less_equal-{F}(V4,V5), P_divide-{F}(V6,V5,V7), P_divide-{F}(V6,V4,V8) | less_equal-{T}(V7,V8)
% 1.06/1.28 (used 0 times, uses = {})
% 1.06/1.28
% 1.06/1.28 #14: input, references = 4, size of lhs = 7:
% 1.06/1.28 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_divide-{F}(V2,V0,V3), less_equal-{F}(V4,V5), P_divide-{F}(V4,V6,V7), P_divide-{F}(V5,V6,V8) | less_equal-{T}(V7,V8)
% 1.06/1.28 (used 0 times, uses = {})
% 1.06/1.28
% 1.06/1.28 #15: input, references = 5, size of lhs = 7:
% 1.06/1.28 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_divide-{F}(V2,V0,V3), P_divide-{F}(V1,V2,V6), P_divide-{F}(V1,V6,V5), P_divide-{F}(V1,V5,V6) | FALSE
% 1.06/1.28 (used 0 times, uses = {})
% 1.06/1.28
% 1.06/1.28 #16: input, references = 15, size of lhs = 2:
% 1.06/1.28 #-{F} V0, #-{F} V1 | EXISTS V2: P_divide-{T}(V0,V1,V2)
% 1.06/1.28 (used 0 times, uses = {})
% 1.06/1.28
% 1.06/1.28 #17: input, references = 4, size of lhs = 0:
% 1.06/1.28 FALSE | EXISTS V0: P_zero-{T}(V0)
% 1.06/1.28 (used 0 times, uses = {})
% 1.06/1.28
% 1.06/1.28 #18: input, references = 4, size of lhs = 0:
% 1.06/1.28 FALSE | EXISTS V0: P_identity-{T}(V0)
% 1.06/1.28 (used 0 times, uses = {})
% 1.06/1.28
% 1.06/1.28 #19: input, references = 4, size of lhs = 0:
% 1.06/1.28 FALSE | EXISTS V0: P_a-{T}(V0)
% 1.06/1.28 (used 0 times, uses = {})
% 1.06/1.28
% 1.06/1.28 number of initial rules = 20
% 1.06/1.28
% 1.06/1.28 Simplifiers:
% 1.06/1.28 #20: unsound, references = 3, size of lhs = 3:
% 1.06/1.28 P_divide-{F}(V0,V1,V2), P_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.06/1.28 (used 0 times, uses = {})
% 1.06/1.28
% 1.06/1.28 #21: unsound, references = 3, size of lhs = 3:
% 1.06/1.28 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 1.06/1.28 (used 0 times, uses = {})
% 1.06/1.28
% 1.06/1.28 #22: unsound, references = 3, size of lhs = 3:
% 1.06/1.28 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 1.06/1.28 (used 0 times, uses = {})
% 1.06/1.28
% 1.06/1.28 #23: unsound, references = 3, size of lhs = 3:
% 1.06/1.28 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 1.06/1.28 (used 0 times, uses = {})
% 1.06/1.28
% 1.06/1.28 number of simplifiers = 4
% 1.06/1.28
% 1.06/1.28 Learnt:
% 1.06/1.28 #25: exists( #16, #9 ), references = 6, size of lhs = 3:
% 1.06/1.28 P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | P_divide-{T}(V2,V2,V0)
% 1.06/1.28 (used 0 times, uses = {})
% 1.06/1.28
% 1.06/1.28 #29: exists( #16, #0 ), references = 1, size of lhs = 2:
% 1.06/1.28 P_zero-{F}(V0), less_equal-{F}(V1,V2) | P_divide-{T}(V1,V2,V0)
% 1.06/1.28 (used 0 times, uses = {})
% 1.06/1.28
% 1.06/1.28 #30: exists( #16, #8 ), references = 1, size of lhs = 3:
% 1.06/1.28 P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | P_divide-{T}(V0,V2,V0)
% 1.06/1.28 (used 0 times, uses = {})
% 1.06/1.28
% 1.06/1.28 #33: exists( #16, #10 ), references = 2, size of lhs = 3:
% 1.06/1.28 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2) | P_divide-{T}(V2,V0,V2)
% 1.06/1.28 (used 0 times, uses = {})
% 1.06/1.28
% 1.06/1.28 #47: mergings( V3 == V4, V4 == V8; #44 ), references = 1, size of lhs = 6:
% 1.06/1.28 P_identity-{F}(V0), P_a-{F}(V1), P_zero-{F}(V2), P_divide-{F}(V1,V2,V3), P_divide-{F}(V4,V2,V5), less_equal-{F}(V5,V6) | P_divide-{T}(V4,V6,V2)
% 1.06/1.28 (used 0 times, uses = {})
% 1.06/1.28
% 1.06/1.28 #60: mergings( V3 == V5, V5 == V6, V6 == V10, V10 == V1, V1 == V11, V4 == V7; #53 ), references = 4, size of lhs = 5:
% 1.06/1.28 P_identity-{F}(V0), P_a-{F}(V1), P_zero-{F}(V2), P_divide-{F}(V1,V2,V3), #-{F} V4 | P_divide-{T}(V4,V2,V4)
% 1.06/1.28 (used 0 times, uses = {})
% 1.06/1.28
% 1.06/1.28 #79: mergings( V5 == V7, V7 == V8; #75 ), references = 1, size of lhs = 7:
% 1.06/1.28 P_identity-{F}(V0), P_a-{F}(V1), P_zero-{F}(V2), P_divide-{F}(V1,V2,V3), P_divide-{F}(V4,V5,V2), P_divide-{F}(V6,V5,V2), P_divide-{F}(V7,V4,V6) | P_divide-{T}(V7,V5,V2)
% 1.06/1.28 (used 0 times, uses = {})
% 1.06/1.28
% 1.06/1.28 #83: mergings( V3 == V6, V6 == V8, V8 == V9; #76 ), references = 1, size of lhs = 7:
% 1.06/1.28 P_identity-{F}(V0), P_a-{F}(V1), P_zero-{F}(V2), P_divide-{F}(V1,V2,V3), P_divide-{F}(V4,V5,V2), P_divide-{F}(V6,V5,V2), P_divide-{F}(V7,V4,V6) | P_divide-{T}(V7,V5,V2)
% 1.06/1.28 (used 0 times, uses = {})
% 1.06/1.28
% 1.06/1.28 #91: mergings( V3 == V4, V4 == V5; #88 ), references = 2, size of lhs = 5:
% 1.06/1.28 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)
% 1.06/1.28 (used 0 times, uses = {})
% 1.06/1.28
% 1.06/1.28 #100: mergings( V3 == V7, V7 == V11, V4 == V8, V5 == V9, V6 == V10; #94 ), references = 3, size of lhs = 8:
% 1.06/1.28 P_identity-{F}(V0), P_a-{F}(V1), P_zero-{F}(V2), P_divide-{F}(V1,V2,V3), less_equal-{F}(V4,V5), P_divide-{F}(V4,V6,V7), P_divide-{F}(V5,V7,V8), less_equal-{F}(V8,V6) | P_divide-{T}(V5,V6,V7)
% 1.06/1.28 (used 0 times, uses = {})
% 1.06/1.28
% 1.06/1.28 #122: mergings( V3 == V4, V4 == V8; #119 ), references = 3, size of lhs = 6:
% 1.06/1.28 P_identity-{F}(V0), P_a-{F}(V1), P_zero-{F}(V2), P_divide-{F}(V1,V2,V3), less_equal-{F}(V4,V5), P_divide-{F}(V6,V5,V6) | P_divide-{T}(V6,V4,V6)
% 1.06/1.28 (used 0 times, uses = {})
% 1.06/1.28
% 1.06/1.28 #144: mergings( V4 == V5, V5 == V11, V11 == V15, V15 == V17, V3 == V6, V6 == V9, V9 == V13, V13 == V0, V7 == V10, V8 == V12, V10 == V14, V12 == V16, V14 == V1, V16 == V18; #129 ), references = 1, size of lhs = 8:
% 1.06/1.28 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), less_equal-{F}(V2,V1), P_divide-{F}(V2,V0,V3), P_divide-{F}(V2,V4,V2), P_divide-{F}(V1,V4,V5), less_equal-{F}(V5,V2) | FALSE
% 1.06/1.28 (used 0 times, uses = {})
% 1.06/1.28
% 1.06/1.28 #184: mergings( V4 == V5, V5 == V11, V11 == V15, V15 == V17, V3 == V6, V6 == V9, V9 == V13, V13 == V0, V7 == V10, V8 == V12, V10 == V14, V12 == V16, V14 == V18, V16 == V19; #169 ), references = 1, size of lhs = 9:
% 1.06/1.28 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_divide-{F}(V2,V0,V3), P_divide-{F}(V1,V2,V4), less_equal-{F}(V4,V1), P_divide-{F}(V4,V5,V4), P_divide-{F}(V1,V5,V6), less_equal-{F}(V6,V4) | FALSE
% 1.06/1.28 (used 0 times, uses = {})
% 1.06/1.28
% 1.06/1.28 #213: mergings( V3 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V13, V13 == V19, V19 == V23, V23 == V25, V4 == V6, V6 == V11, V11 == V14, V14 == V17, V17 == V21, V21 == V0, V7 == V15, V9 == V16, V15 == V18, V16 == V20, V18 == V22, V20 == V24, V22 == V1, V24 == V26; #190 ), references = 1, size of lhs = 5:
% 1.06/1.28 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_divide-{F}(V2,V2,V0), P_divide-{F}(V2,V0,V3) | FALSE
% 1.06/1.28 (used 0 times, uses = {})
% 1.06/1.28
% 1.06/1.28 #229: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V13, V1 == V2, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V11, V11 == V12, V12 == V14; #216 ), references = 1, size of lhs = 2:
% 1.06/1.28 P_zero-{F}(V0), P_identity-{F}(V1) | FALSE
% 1.06/1.28 (used 0 times, uses = {})
% 1.06/1.28
% 1.06/1.28 #235: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5; #230 ), references = 1, size of lhs = 1:
% 1.06/1.28 P_zero-{F}(V0) | FALSE
% 1.06/1.28 (used 0 times, uses = {})
% 1.06/1.28
% 1.06/1.28 #237: exists( #17, #230 ), references = 1, size of lhs = 0:
% 1.06/1.28 FALSE | FALSE
% 1.06/1.28 (used 0 times, uses = {})
% 1.06/1.28
% 1.06/1.28 number of learnt formulas = 17
% 1.06/1.28
% 1.06/1.28
% 1.06/1.28 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.06/1.28
% 1.06/1.28 randbase = 1
%------------------------------------------------------------------------------