TSTP Solution File: HEN010-3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : HEN010-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n019.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 1.83s 2.05s
% Output : Refutation 1.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : HEN010-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n019.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 21:06:22 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.83/2.05 GeoParameters:
% 1.83/2.05
% 1.83/2.05 tptp_input = 1
% 1.83/2.05 tptp_output = 0
% 1.83/2.05 nonempty = 1
% 1.83/2.05 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.83/2.05 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.83/2.05
% 1.83/2.05
% 1.83/2.05 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.83/2.05 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.83/2.05
% 1.83/2.05 RuleSystem INPUT:
% 1.83/2.05
% 1.83/2.05 Initial Rules:
% 1.83/2.05 #0: input, references = 5, size of lhs = 4:
% 1.83/2.05 P_zero-{F}(V0), P_divide-{F}(V1,V2,V3), less_equal-{F}(V1,V2), V3 == V0 | FALSE
% 1.83/2.05 (used 0 times, uses = {})
% 1.83/2.05
% 1.83/2.05 #1: input, references = 10, size of lhs = 2:
% 1.83/2.05 P_zero-{F}(V0), P_divide-{F}(V1,V2,V0) | less_equal-{T}(V1,V2)
% 1.83/2.05 (used 0 times, uses = {})
% 1.83/2.05
% 1.83/2.05 #2: input, references = 12, size of lhs = 2:
% 1.83/2.05 P_zero-{F}(V0), P_divide-{F}(V1,V2,V3) | less_equal-{T}(V3,V1)
% 1.83/2.05 (used 0 times, uses = {})
% 1.83/2.05
% 1.83/2.05 #3: input, references = 5, size of lhs = 6:
% 1.83/2.05 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)
% 1.83/2.05 (used 0 times, uses = {})
% 1.83/2.05
% 1.83/2.05 #4: input, references = 10, size of lhs = 2:
% 1.83/2.05 P_zero-{F}(V0), #-{F} V1 | less_equal-{T}(V0,V1)
% 1.83/2.05 (used 0 times, uses = {})
% 1.83/2.05
% 1.83/2.05 #5: input, references = 10, size of lhs = 4:
% 1.83/2.05 P_zero-{F}(V0), less_equal-{F}(V1,V2), less_equal-{F}(V2,V1), V1 == V2 | FALSE
% 1.83/2.05 (used 0 times, uses = {})
% 1.83/2.05
% 1.83/2.05 #6: input, references = 6, size of lhs = 3:
% 1.83/2.05 P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | less_equal-{T}(V2,V1)
% 1.83/2.05 (used 0 times, uses = {})
% 1.83/2.05
% 1.83/2.05 #7: input, references = 4, size of lhs = 6:
% 1.83/2.05 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
% 1.83/2.05 (used 0 times, uses = {})
% 1.83/2.05
% 1.83/2.05 #8: input, references = 15, size of lhs = 2:
% 1.83/2.05 #-{F} V0, #-{F} V1 | EXISTS V2: P_divide-{T}(V0,V1,V2)
% 1.83/2.05 (used 0 times, uses = {})
% 1.83/2.05
% 1.83/2.05 #9: input, references = 4, size of lhs = 0:
% 1.83/2.05 FALSE | EXISTS V0: P_zero-{T}(V0)
% 1.83/2.05 (used 0 times, uses = {})
% 1.83/2.05
% 1.83/2.05 #10: input, references = 4, size of lhs = 0:
% 1.83/2.05 FALSE | EXISTS V0: P_identity-{T}(V0)
% 1.83/2.05 (used 0 times, uses = {})
% 1.83/2.05
% 1.83/2.05 #11: input, references = 4, size of lhs = 0:
% 1.83/2.05 FALSE | EXISTS V0: P_a-{T}(V0)
% 1.83/2.05 (used 0 times, uses = {})
% 1.83/2.05
% 1.83/2.05 number of initial rules = 12
% 1.83/2.05
% 1.83/2.05 Simplifiers:
% 1.83/2.05 #12: unsound, references = 3, size of lhs = 3:
% 1.83/2.05 P_divide-{F}(V0,V1,V2), P_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.83/2.05 (used 0 times, uses = {})
% 1.83/2.05
% 1.83/2.05 #13: unsound, references = 3, size of lhs = 3:
% 1.83/2.05 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 1.83/2.05 (used 0 times, uses = {})
% 1.83/2.05
% 1.83/2.05 #14: unsound, references = 3, size of lhs = 3:
% 1.83/2.05 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 1.83/2.05 (used 0 times, uses = {})
% 1.83/2.05
% 1.83/2.05 #15: unsound, references = 3, size of lhs = 3:
% 1.83/2.05 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 1.83/2.05 (used 0 times, uses = {})
% 1.83/2.05
% 1.83/2.05 number of simplifiers = 4
% 1.83/2.05
% 1.83/2.05 Learnt:
% 1.83/2.05 #23: exists( #8, #0 ), references = 16, size of lhs = 2:
% 1.83/2.05 P_zero-{F}(V0), less_equal-{F}(V1,V2) | P_divide-{T}(V1,V2,V0)
% 1.83/2.05 (used 0 times, uses = {})
% 1.83/2.05
% 1.83/2.05 #35: mergings( V3 == V4, V4 == V5; #32 ), references = 14, size of lhs = 5:
% 1.83/2.05 P_zero-{F}(V0), P_divide-{F}(V1,V2,V0), P_divide-{F}(V3,V2,V4), P_divide-{F}(V3,V5,V1), P_divide-{F}(V5,V2,V6) | P_divide-{T}(V4,V6,V0)
% 1.83/2.05 (used 0 times, uses = {})
% 1.83/2.05
% 1.83/2.05 #47: mergings( V3 == V4, V4 == V5; #44 ), references = 3, size of lhs = 4:
% 1.83/2.05 P_zero-{F}(V0), P_divide-{F}(V1,V2,V0), P_divide-{F}(V3,V2,V0), P_divide-{F}(V4,V1,V3) | P_divide-{T}(V4,V2,V0)
% 1.83/2.05 (used 0 times, uses = {})
% 1.83/2.05
% 1.83/2.05 #62: mergings( V3 == V1, V1 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #54 ), references = 1, size of lhs = 3:
% 1.83/2.05 P_zero-{F}(V0), P_divide-{F}(V1,V0,V0), P_divide-{F}(V2,V2,V1) | P_divide-{T}(V2,V0,V2)
% 1.83/2.05 (used 0 times, uses = {})
% 1.83/2.05
% 1.83/2.05 #78: mergings( V3 == V4, V4 == V5; #75 ), references = 10, size of lhs = 7:
% 1.83/2.05 P_zero-{F}(V0), P_divide-{F}(V1,V2,V0), P_divide-{F}(V3,V2,V0), P_divide-{F}(V4,V5,V1), P_divide-{F}(V5,V2,V6), P_divide-{F}(V7,V2,V6), P_divide-{F}(V7,V4,V3) | P_divide-{T}(V4,V2,V6)
% 1.83/2.05 (used 0 times, uses = {})
% 1.83/2.05
% 1.83/2.05 #113: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #106 ), references = 1, size of lhs = 12:
% 1.83/2.05 P_zero-{F}(V0), P_divide-{F}(V0,V1,V0), P_divide-{F}(V1,V2,V3), P_divide-{F}(V3,V4,V0), P_divide-{F}(V2,V1,V5), P_divide-{F}(V5,V4,V0), P_divide-{F}(V6,V4,V0), P_divide-{F}(V7,V1,V6), P_divide-{F}(V7,V4,V8), P_divide-{F}(V8,V1,V9), P_divide-{F}(V9,V0,V10), V10 == V0 | FALSE
% 1.83/2.05 (used 0 times, uses = {})
% 1.83/2.05
% 1.83/2.05 #119: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #107 ), references = 1, size of lhs = 12:
% 1.83/2.05 P_zero-{F}(V0), less_equal-{F}(V0,V1), V0 == V1, P_divide-{F}(V0,V2,V0), P_divide-{F}(V3,V2,V1), P_divide-{F}(V2,V4,V5), P_divide-{F}(V5,V6,V0), P_divide-{F}(V4,V2,V7), P_divide-{F}(V7,V6,V0), P_divide-{F}(V8,V6,V3), P_divide-{F}(V8,V2,V9), P_divide-{F}(V9,V6,V0) | FALSE
% 1.83/2.05 (used 0 times, uses = {})
% 1.83/2.05
% 1.83/2.05 #146: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #141 ), references = 1, size of lhs = 8:
% 1.83/2.05 P_zero-{F}(V0), P_divide-{F}(V1,V2,V0), P_divide-{F}(V3,V3,V1), P_divide-{F}(V2,V4,V0), P_divide-{F}(V5,V2,V6), P_divide-{F}(V5,V7,V3), P_divide-{F}(V7,V2,V8), P_divide-{F}(V6,V8,V4) | P_divide-{T}(V3,V2,V3)
% 1.83/2.05 (used 0 times, uses = {})
% 1.83/2.05
% 1.83/2.05 #165: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #159 ), references = 1, size of lhs = 15:
% 1.83/2.05 P_zero-{F}(V0), less_equal-{F}(V1,V2), V1 == V2, P_divide-{F}(V3,V1,V0), P_divide-{F}(V4,V1,V0), P_divide-{F}(V5,V1,V0), P_divide-{F}(V6,V1,V0), P_divide-{F}(V7,V8,V3), P_divide-{F}(V8,V7,V4), P_divide-{F}(V9,V7,V5), P_divide-{F}(V7,V9,V6), P_divide-{F}(V9,V8,V2), P_divide-{F}(V10,V8,V2), P_divide-{F}(V1,V10,V11), P_divide-{F}(V11,V8,V0) | FALSE
% 1.83/2.05 (used 0 times, uses = {})
% 1.83/2.05
% 1.83/2.05 #182: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #173 ), references = 1, size of lhs = 16:
% 1.83/2.05 P_zero-{F}(V0), P_divide-{F}(V0,V1,V0), P_divide-{F}(V2,V1,V0), P_divide-{F}(V2,V3,V0), P_divide-{F}(V3,V1,V4), P_divide-{F}(V4,V1,V4), P_divide-{F}(V1,V2,V5), P_divide-{F}(V4,V3,V6), P_divide-{F}(V6,V2,V0), P_divide-{F}(V3,V4,V7), P_divide-{F}(V7,V2,V0), P_divide-{F}(V3,V3,V8), P_divide-{F}(V8,V2,V0), P_divide-{F}(V9,V2,V5), P_divide-{F}(V9,V3,V10), P_divide-{F}(V10,V2,V0) | P_divide-{T}(V3,V2,V4)
% 1.83/2.05 (used 0 times, uses = {})
% 1.83/2.05
% 1.83/2.05 #198: mergings( V18 == V22, V19 == V23, V4 == V12, V3 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13; #185 ), references = 1, size of lhs = 18:
% 1.83/2.05 P_zero-{F}(V0), P_divide-{F}(V0,V1,V0), P_identity-{F}(V2), P_a-{F}(V3), P_divide-{F}(V2,V3,V4), P_divide-{F}(V4,V1,V4), P_divide-{F}(V5,V1,V4), P_divide-{F}(V5,V5,V6), P_divide-{F}(V2,V4,V7), P_divide-{F}(V7,V1,V0), P_divide-{F}(V7,V5,V0), P_divide-{F}(V6,V7,V0), P_divide-{F}(V1,V5,V8), P_divide-{F}(V8,V7,V0), P_divide-{F}(V4,V5,V9), P_divide-{F}(V9,V7,V0), P_divide-{F}(V5,V4,V10), P_divide-{F}(V10,V7,V0) | FALSE
% 1.83/2.05 (used 0 times, uses = {})
% 1.83/2.05
% 1.83/2.05 #222: mergings( V1 == V20, V17 == V21, V20 == V22, V5 == V13, V3 == V4, V4 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14; #207 ), references = 1, size of lhs = 17:
% 1.83/2.05 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_divide-{F}(V1,V2,V3), P_divide-{F}(V3,V3,V0), P_divide-{F}(V1,V1,V4), P_divide-{F}(V3,V1,V4), P_divide-{F}(V4,V3,V0), P_divide-{F}(V0,V5,V0), P_divide-{F}(V5,V1,V4), P_divide-{F}(V1,V5,V3), P_divide-{F}(V6,V5,V3), P_divide-{F}(V3,V6,V7), P_divide-{F}(V7,V5,V0), P_divide-{F}(V8,V3,V4), P_divide-{F}(V8,V5,V9), P_divide-{F}(V9,V3,V0) | FALSE
% 1.83/2.05 (used 0 times, uses = {})
% 1.83/2.05
% 1.83/2.05 #242: mergings( V14 == V16, V16 == V4, V7 == V4, V3 == V5, V5 == V6, V6 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V4, V4 == V15; #228 ), references = 2, size of lhs = 6:
% 1.83/2.05 P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V1,V1,V0), P_a-{F}(V2), P_divide-{F}(V2,V1,V0), P_divide-{F}(V0,V2,V0) | FALSE
% 1.83/2.05 (used 0 times, uses = {})
% 1.83/2.05
% 1.83/2.05 #249: mergings( V1 == V2; #247 ), references = 1, size of lhs = 3:
% 1.83/2.05 P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V1,V1,V0) | FALSE
% 1.83/2.05 (used 0 times, uses = {})
% 1.83/2.05
% 1.83/2.05 #255: mergings( V1 == V2, V2 == V3; #252 ), references = 1, size of lhs = 1:
% 1.83/2.05 P_zero-{F}(V0) | FALSE
% 1.83/2.05 (used 0 times, uses = {})
% 1.83/2.05
% 1.83/2.05 #257: exists( #9, #252 ), references = 1, size of lhs = 0:
% 1.83/2.05 FALSE | FALSE
% 1.83/2.05 (used 0 times, uses = {})
% 1.83/2.05
% 1.83/2.05 number of learnt formulas = 16
% 1.83/2.05
% 1.83/2.05
% 1.83/2.05 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.83/2.05
% 1.83/2.05 randbase = 1
%------------------------------------------------------------------------------