TSTP Solution File: HEN006-6 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : HEN006-6 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n012.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 06:04:42 EDT 2022
% Result : Unsatisfiable 0.93s 1.16s
% Output : Refutation 0.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HEN006-6 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n012.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 21:02:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.93/1.16 GeoParameters:
% 0.93/1.16
% 0.93/1.16 tptp_input = 1
% 0.93/1.16 tptp_output = 0
% 0.93/1.16 nonempty = 1
% 0.93/1.16 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.93/1.16 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.93/1.16
% 0.93/1.16
% 0.93/1.16 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.93/1.16 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.93/1.16
% 0.93/1.16 RuleSystem INPUT:
% 0.93/1.16
% 0.93/1.16 Initial Rules:
% 0.93/1.16 #0: input, references = 4, size of lhs = 4:
% 0.93/1.16 P_zero-{F}(V0), P_divide-{F}(V1,V2,V3), less_equal-{F}(V1,V2), V3 == V0 | FALSE
% 0.93/1.16 (used 0 times, uses = {})
% 0.93/1.16
% 0.93/1.16 #1: input, references = 8, size of lhs = 2:
% 0.93/1.16 P_zero-{F}(V0), P_divide-{F}(V1,V2,V0) | less_equal-{T}(V1,V2)
% 0.93/1.16 (used 0 times, uses = {})
% 0.93/1.16
% 0.93/1.16 #2: input, references = 8, size of lhs = 2:
% 0.93/1.16 P_zero-{F}(V0), P_divide-{F}(V1,V2,V3) | less_equal-{T}(V3,V1)
% 0.93/1.16 (used 0 times, uses = {})
% 0.93/1.16
% 0.93/1.16 #3: input, references = 4, size of lhs = 6:
% 0.93/1.16 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)
% 0.93/1.16 (used 0 times, uses = {})
% 0.93/1.16
% 0.93/1.16 #4: input, references = 11, size of lhs = 2:
% 0.93/1.16 P_zero-{F}(V0), #-{F} V1 | less_equal-{T}(V0,V1)
% 0.93/1.16 (used 0 times, uses = {})
% 0.93/1.16
% 0.93/1.16 #5: input, references = 8, size of lhs = 4:
% 0.93/1.16 P_zero-{F}(V0), less_equal-{F}(V1,V2), less_equal-{F}(V2,V1), V1 == V2 | FALSE
% 0.93/1.16 (used 0 times, uses = {})
% 0.93/1.16
% 0.93/1.16 #6: input, references = 4, size of lhs = 3:
% 0.93/1.16 P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | less_equal-{T}(V2,V1)
% 0.93/1.16 (used 0 times, uses = {})
% 0.93/1.16
% 0.93/1.16 #7: input, references = 3, size of lhs = 4:
% 0.93/1.16 P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V2,V1,V3), V3 == V0 | FALSE
% 0.93/1.16 (used 0 times, uses = {})
% 0.93/1.16
% 0.93/1.16 #8: input, references = 4, size of lhs = 4:
% 0.93/1.16 P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V0,V2,V3), V3 == V0 | FALSE
% 0.93/1.16 (used 0 times, uses = {})
% 0.93/1.16
% 0.93/1.16 #9: input, references = 4, size of lhs = 4:
% 0.93/1.16 P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V2,V2,V3), V3 == V0 | FALSE
% 0.93/1.16 (used 0 times, uses = {})
% 0.93/1.16
% 0.93/1.16 #10: input, references = 7, size of lhs = 6:
% 0.93/1.16 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_divide-{F}(V2,V3,V4), P_d-{F}(V5) | less_equal-{T}(V4,V5)
% 0.93/1.16 (used 0 times, uses = {})
% 0.93/1.16
% 0.93/1.16 #11: input, references = 9, size of lhs = 8:
% 0.93/1.16 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_divide-{F}(V2,V3,V4), P_d-{F}(V5), P_divide-{F}(V2,V5,V6), less_equal-{F}(V6,V3) | FALSE
% 0.93/1.16 (used 0 times, uses = {})
% 0.93/1.16
% 0.93/1.16 #12: input, references = 17, size of lhs = 2:
% 0.93/1.16 #-{F} V0, #-{F} V1 | EXISTS V2: P_divide-{T}(V0,V1,V2)
% 0.93/1.16 (used 0 times, uses = {})
% 0.93/1.16
% 0.93/1.16 #13: input, references = 4, size of lhs = 0:
% 0.93/1.16 FALSE | EXISTS V0: P_zero-{T}(V0)
% 0.93/1.16 (used 0 times, uses = {})
% 0.93/1.16
% 0.93/1.16 #14: input, references = 4, size of lhs = 0:
% 0.93/1.16 FALSE | EXISTS V0: P_identity-{T}(V0)
% 0.93/1.16 (used 0 times, uses = {})
% 0.93/1.16
% 0.93/1.16 #15: input, references = 4, size of lhs = 0:
% 0.93/1.16 FALSE | EXISTS V0: P_a-{T}(V0)
% 0.93/1.16 (used 0 times, uses = {})
% 0.93/1.16
% 0.93/1.16 #16: input, references = 5, size of lhs = 0:
% 0.93/1.16 FALSE | EXISTS V0: P_b-{T}(V0)
% 0.93/1.16 (used 0 times, uses = {})
% 0.93/1.16
% 0.93/1.16 #17: input, references = 8, size of lhs = 0:
% 0.93/1.16 FALSE | EXISTS V0: P_d-{T}(V0)
% 0.93/1.16 (used 0 times, uses = {})
% 0.93/1.16
% 0.93/1.16 number of initial rules = 18
% 0.93/1.16
% 0.93/1.16 Simplifiers:
% 0.93/1.16 #18: unsound, references = 3, size of lhs = 3:
% 0.93/1.16 P_divide-{F}(V0,V1,V2), P_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.93/1.16 (used 0 times, uses = {})
% 0.93/1.16
% 0.93/1.16 #19: unsound, references = 3, size of lhs = 3:
% 0.93/1.16 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 0.93/1.16 (used 0 times, uses = {})
% 0.93/1.16
% 0.93/1.16 #20: unsound, references = 3, size of lhs = 3:
% 0.93/1.16 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 0.93/1.16 (used 0 times, uses = {})
% 0.93/1.16
% 0.93/1.16 #21: unsound, references = 3, size of lhs = 3:
% 0.93/1.16 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.93/1.16 (used 0 times, uses = {})
% 0.93/1.16
% 0.93/1.16 #22: unsound, references = 3, size of lhs = 3:
% 0.93/1.16 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 0.93/1.16 (used 0 times, uses = {})
% 0.93/1.16
% 0.93/1.16 #23: unsound, references = 3, size of lhs = 3:
% 0.93/1.16 P_d-{F}(V0), P_d-{F}(V1), V0 == V1 | FALSE
% 0.93/1.16 (used 0 times, uses = {})
% 0.93/1.16
% 0.93/1.16 number of simplifiers = 6
% 0.93/1.16
% 0.93/1.16 Learnt:
% 0.93/1.16 #26: exists( #12, #9 ), references = 3, size of lhs = 3:
% 0.93/1.16 P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | P_divide-{T}(V2,V2,V0)
% 0.93/1.16 (used 0 times, uses = {})
% 0.93/1.16
% 0.93/1.16 #29: exists( #12, #0 ), references = 10, size of lhs = 2:
% 0.93/1.16 P_zero-{F}(V0), less_equal-{F}(V1,V2) | P_divide-{T}(V1,V2,V0)
% 0.93/1.16 (used 0 times, uses = {})
% 0.93/1.16
% 0.93/1.16 #30: exists( #12, #8 ), references = 1, size of lhs = 3:
% 0.93/1.16 P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | P_divide-{T}(V0,V2,V0)
% 0.93/1.16 (used 0 times, uses = {})
% 0.93/1.16
% 0.93/1.16 #37: mergings( V1 == V2, V2 == V3; #34 ), references = 2, size of lhs = 6:
% 0.93/1.16 P_a-{F}(V0), P_zero-{F}(V0), P_identity-{F}(V1), P_b-{F}(V2), less_equal-{F}(V0,V2), P_divide-{F}(V0,V2,V3) | FALSE
% 0.93/1.16 (used 0 times, uses = {})
% 0.93/1.16
% 0.93/1.16 #42: mergings( V1 == V2; #40 ), references = 1, size of lhs = 3:
% 0.93/1.16 P_a-{F}(V0), P_zero-{F}(V0), P_identity-{F}(V1) | FALSE
% 0.93/1.16 (used 0 times, uses = {})
% 0.93/1.16
% 0.93/1.16 #47: mergings( V3 == V4; #45 ), references = 1, size of lhs = 6:
% 0.93/1.16 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V2), P_divide-{F}(V2,V2,V3), P_d-{F}(V4) | FALSE
% 0.93/1.16 (used 0 times, uses = {})
% 0.93/1.16
% 0.93/1.16 #50: mergings( V1 == V2; #48 ), references = 1, size of lhs = 5:
% 0.93/1.16 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V2), P_divide-{F}(V2,V2,V3) | FALSE
% 0.93/1.16 (used 0 times, uses = {})
% 0.93/1.16
% 0.93/1.16 #55: mergings( V3 == V5, V4 == V6; #52 ), references = 1, size of lhs = 6:
% 0.93/1.16 P_b-{F}(V0), P_identity-{F}(V0), P_zero-{F}(V1), P_a-{F}(V2), P_divide-{F}(V2,V0,V3), P_d-{F}(V4) | FALSE
% 0.93/1.16 (used 0 times, uses = {})
% 0.93/1.16
% 0.93/1.16 #59: mergings( V1 == V3, V2 == V4; #56 ), references = 1, size of lhs = 5:
% 0.93/1.16 P_b-{F}(V0), P_identity-{F}(V0), P_zero-{F}(V1), P_a-{F}(V2), P_divide-{F}(V2,V0,V3) | FALSE
% 0.93/1.16 (used 0 times, uses = {})
% 0.93/1.16
% 0.93/1.16 #70: mergings( V3 == V5, V4 == V6; #67 ), references = 1, size of lhs = 5:
% 0.93/1.16 P_b-{F}(V0), P_d-{F}(V0), P_zero-{F}(V1), P_identity-{F}(V2), P_a-{F}(V3) | FALSE
% 0.93/1.16 (used 0 times, uses = {})
% 0.93/1.16
% 0.93/1.16 #76: exists( #12, #11 ), references = 3, size of lhs = 7:
% 0.93/1.16 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_d-{F}(V4), P_divide-{F}(V2,V4,V5), less_equal-{F}(V5,V3) | FALSE
% 0.93/1.16 (used 0 times, uses = {})
% 0.93/1.16
% 0.93/1.16 #87: mergings( V3 == V4, V4 == V6; #84 ), references = 1, size of lhs = 5:
% 0.93/1.16 P_d-{F}(V0), P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3) | P_divide-{T}(V2,V3,V0)
% 0.93/1.16 (used 0 times, uses = {})
% 0.93/1.16
% 0.93/1.16 #98: mergings( V3 == V4, V4 == V5; #95 ), references = 5, size of lhs = 5:
% 0.93/1.16 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)
% 0.93/1.16 (used 0 times, uses = {})
% 0.93/1.16
% 0.93/1.16 #120: mergings( V3 == V4, V4 == V5; #117 ), references = 5, size of lhs = 4:
% 0.93/1.16 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)
% 0.93/1.16 (used 0 times, uses = {})
% 0.93/1.16
% 0.93/1.16 #133: mergings( V3 == V1, V1 == V5, V5 == V6, V6 == V7, V7 == V8; #127 ), references = 1, size of lhs = 3:
% 0.93/1.16 P_identity-{F}(V0), P_zero-{F}(V1), #-{F} V2 | P_divide-{T}(V2,V1,V2)
% 0.93/1.16 (used 0 times, uses = {})
% 0.93/1.16
% 0.93/1.16 #145: mergings( V1 == V6, V6 == V7, V2 == V8, V3 == V5, V4 == V9; #138 ), references = 1, size of lhs = 6:
% 0.93/1.16 P_a-{F}(V0), P_zero-{F}(V1), P_identity-{F}(V2), P_b-{F}(V3), P_divide-{F}(V0,V3,V0), less_equal-{F}(V1,V3) | FALSE
% 0.93/1.16 (used 0 times, uses = {})
% 0.93/1.16
% 0.93/1.16 #174: mergings( V3 == V4, V4 == V6, V6 == V7; #170 ), references = 1, size of lhs = 6:
% 0.93/1.16 P_identity-{F}(V0), P_zero-{F}(V1), P_divide-{F}(V2,V3,V1), P_divide-{F}(V4,V2,V3), P_divide-{F}(V5,V2,V1), P_divide-{F}(V4,V6,V5) | P_divide-{T}(V6,V2,V6)
% 0.93/1.16 (used 0 times, uses = {})
% 0.93/1.16
% 0.93/1.16 #223: mergings( V3 == V4, V4 == V5, V5 == V6; #218 ), references = 1, size of lhs = 10:
% 0.93/1.16 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_divide-{F}(V0,V3,V0), P_d-{F}(V4), P_divide-{F}(V2,V4,V5), P_divide-{F}(V6,V7,V5), P_divide-{F}(V6,V3,V8), P_divide-{F}(V8,V7,V0) | FALSE
% 0.93/1.16 (used 0 times, uses = {})
% 0.93/1.16
% 0.93/1.16 #227: mergings( V3 == V4, V4 == V5, V5 == V6; #219 ), references = 1, size of lhs = 11:
% 0.93/1.16 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_divide-{F}(V0,V3,V0), P_divide-{F}(V2,V3,V4), P_d-{F}(V5), P_divide-{F}(V2,V5,V6), P_divide-{F}(V7,V8,V6), P_divide-{F}(V7,V3,V9), P_divide-{F}(V9,V8,V0) | FALSE
% 0.93/1.16 (used 0 times, uses = {})
% 0.93/1.16
% 0.93/1.16 #233: mergings( V3 == V4, V4 == V5, V5 == V6; #228 ), references = 2, size of lhs = 8:
% 0.93/1.16 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_divide-{F}(V0,V3,V0), P_d-{F}(V4), P_divide-{F}(V2,V3,V5), P_divide-{F}(V5,V4,V0) | FALSE
% 0.93/1.16 (used 0 times, uses = {})
% 0.93/1.16
% 0.93/1.16 #238: mergings( V9 == V10, V3 == V4, V4 == V5, V5 == V6; #229 ), references = 1, size of lhs = 8:
% 0.93/1.16 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_divide-{F}(V0,V3,V0), P_d-{F}(V4), P_divide-{F}(V2,V3,V5), P_divide-{F}(V5,V4,V0) | FALSE
% 0.93/1.16 (used 0 times, uses = {})
% 0.93/1.16
% 0.93/1.16 #247: mergings( V3 == V5, V4 == V6; #243 ), references = 1, size of lhs = 6:
% 0.93/1.16 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_divide-{F}(V0,V3,V0), P_d-{F}(V4) | FALSE
% 0.93/1.16 (used 0 times, uses = {})
% 0.93/1.16
% 0.93/1.16 #252: mergings( V1 == V3, V2 == V4; #248 ), references = 1, size of lhs = 5:
% 0.93/1.16 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_divide-{F}(V0,V3,V0) | FALSE
% 0.93/1.16 (used 0 times, uses = {})
% 0.93/1.16
% 0.93/1.16 #261: mergings( V1 == V3, V2 == V4; #257 ), references = 1, size of lhs = 3:
% 0.93/1.16 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2) | FALSE
% 0.93/1.16 (used 0 times, uses = {})
% 0.93/1.16
% 0.93/1.16 #266: mergings( V1 == V3, V2 == V4; #262 ), references = 1, size of lhs = 2:
% 0.93/1.16 P_zero-{F}(V0), P_identity-{F}(V1) | FALSE
% 0.93/1.16 (used 0 times, uses = {})
% 0.93/1.16
% 0.93/1.16 #270: mergings( V1 == V2; #267 ), references = 1, size of lhs = 1:
% 0.93/1.16 P_zero-{F}(V0) | FALSE
% 0.93/1.16 (used 0 times, uses = {})
% 0.93/1.16
% 0.93/1.16 #273: exists( #13, #267 ), references = 1, size of lhs = 0:
% 0.93/1.16 FALSE | FALSE
% 0.93/1.16 (used 0 times, uses = {})
% 0.93/1.16
% 0.93/1.16 number of learnt formulas = 27
% 0.93/1.16
% 0.93/1.16
% 0.93/1.16 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.93/1.16
% 0.93/1.16 randbase = 1
%------------------------------------------------------------------------------