TSTP Solution File: GRP659+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP659+1 : TPTP v8.1.0. Released v4.0.0.
% 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 06:04:21 EDT 2022
% Result : Theorem 95.26s 95.43s
% Output : Refutation 95.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP659+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n004.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 13:38:51 EDT 2022
% 0.13/0.33 % CPUTime :
% 95.26/95.43 GeoParameters:
% 95.26/95.43
% 95.26/95.43 tptp_input = 1
% 95.26/95.43 tptp_output = 0
% 95.26/95.43 nonempty = 1
% 95.26/95.43 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 95.26/95.43 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 95.26/95.43
% 95.26/95.43
% 95.26/95.43 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 95.26/95.43 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 95.26/95.43
% 95.26/95.43 RuleSystem INPUT:
% 95.26/95.43
% 95.26/95.43 Initial Rules:
% 95.26/95.43 #0: input, references = 6, size of lhs = 3:
% 95.26/95.43 P_ld-{F}(V1,V0,V2), P_mult-{F}(V1,V2,V3), V3 == V0 | FALSE
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #1: input, references = 12, size of lhs = 3:
% 95.26/95.43 P_mult-{F}(V1,V0,V2), P_ld-{F}(V1,V2,V3), V3 == V0 | FALSE
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #2: input, references = 5, size of lhs = 3:
% 95.26/95.43 P_rd-{F}(V1,V0,V2), P_mult-{F}(V2,V0,V3), V3 == V1 | FALSE
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #3: input, references = 12, size of lhs = 3:
% 95.26/95.43 P_mult-{F}(V1,V0,V2), P_rd-{F}(V2,V0,V3), V3 == V1 | FALSE
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #4: input, references = 6, size of lhs = 7:
% 95.26/95.43 P_mult-{F}(V1,V0,V3), P_mult-{F}(V2,V3,V4), P_mult-{F}(V4,V1,V5), P_mult-{F}(V2,V1,V6), P_mult-{F}(V0,V1,V7), P_mult-{F}(V6,V7,V8), V5 == V8 | FALSE
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #5: input, references = 4, size of lhs = 1:
% 95.26/95.43 #-{F} V0 | EXISTS V1: pppp0-{T}(V0,V1)
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #6: input, references = 4, size of lhs = 3:
% 95.26/95.43 pppp0-{F}(V0,V1), P_mult-{F}(V1,V0,V1), P_mult-{F}(V0,V1,V1) | FALSE
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #7: input, references = 25, size of lhs = 2:
% 95.26/95.43 #-{F} V0, #-{F} V1 | EXISTS V2: P_mult-{T}(V0,V1,V2)
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #8: input, references = 16, size of lhs = 2:
% 95.26/95.43 #-{F} V0, #-{F} V1 | EXISTS V2: P_ld-{T}(V0,V1,V2)
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #9: input, references = 5, size of lhs = 2:
% 95.26/95.43 #-{F} V0, #-{F} V1 | EXISTS V2: P_rd-{T}(V0,V1,V2)
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 number of initial rules = 10
% 95.26/95.43
% 95.26/95.43 Simplifiers:
% 95.26/95.43 #10: unsound, references = 3, size of lhs = 3:
% 95.26/95.43 P_mult-{F}(V0,V1,V2), P_mult-{F}(V0,V1,V5), V2 == V5 | FALSE
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #11: unsound, references = 3, size of lhs = 3:
% 95.26/95.43 P_ld-{F}(V0,V1,V2), P_ld-{F}(V0,V1,V5), V2 == V5 | FALSE
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #12: unsound, references = 3, size of lhs = 3:
% 95.26/95.43 P_rd-{F}(V0,V1,V2), P_rd-{F}(V0,V1,V5), V2 == V5 | FALSE
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #13: unsound, references = 3, size of lhs = 3:
% 95.26/95.43 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 number of simplifiers = 4
% 95.26/95.43
% 95.26/95.43 Learnt:
% 95.26/95.43 #15: exists( #7, #4 ), references = 15, size of lhs = 5:
% 95.26/95.43 P_mult-{F}(V0,V1,V2), P_mult-{F}(V1,V0,V3), P_mult-{F}(V4,V2,V5), P_mult-{F}(V5,V0,V6), P_mult-{F}(V4,V0,V7) | P_mult-{T}(V7,V3,V6)
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #17: exists( #7, #2 ), references = 10, size of lhs = 1:
% 95.26/95.43 P_rd-{F}(V0,V1,V2) | P_mult-{T}(V2,V1,V0)
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #20: exists( #7, #0 ), references = 23, size of lhs = 1:
% 95.26/95.43 P_ld-{F}(V0,V1,V2) | P_mult-{T}(V0,V2,V1)
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #22: exists( #9, #3 ), references = 4, size of lhs = 1:
% 95.26/95.43 P_mult-{F}(V0,V1,V2) | P_rd-{T}(V2,V1,V0)
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #25: exists( #8, #1 ), references = 14, size of lhs = 1:
% 95.26/95.43 P_mult-{F}(V0,V1,V2) | P_ld-{T}(V0,V2,V1)
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #28: exists( #7, #4 ), references = 7, size of lhs = 5:
% 95.26/95.43 P_mult-{F}(V0,V1,V2), P_mult-{F}(V1,V0,V3), P_mult-{F}(V4,V2,V5), P_mult-{F}(V4,V0,V6), P_mult-{F}(V6,V3,V7) | P_mult-{T}(V5,V0,V7)
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #33: exists( #7, #31 ), references = 4, size of lhs = 9:
% 95.26/95.43 P_mult-{F}(V0,V1,V2), P_mult-{F}(V1,V0,V3), P_mult-{F}(V3,V4,V5), P_mult-{F}(V4,V3,V6), V6 == V0, P_mult-{F}(V7,V5,V8), P_mult-{F}(V7,V3,V9), P_mult-{F}(V10,V2,V9), P_mult-{F}(V10,V0,V8) | FALSE
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #35: exists( #7, #32 ), references = 1, size of lhs = 5:
% 95.26/95.43 P_mult-{F}(V0,V1,V2), P_mult-{F}(V1,V0,V2), P_mult-{F}(V2,V3,V4), P_mult-{F}(V3,V4,V5), P_mult-{F}(V3,V0,V5) | P_mult-{T}(V3,V2,V0)
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #44: exists( #7, #42 ), references = 13, size of lhs = 5:
% 95.26/95.43 P_mult-{F}(V0,V1,V2), P_mult-{F}(V3,V2,V4), P_mult-{F}(V4,V0,V5), P_mult-{F}(V3,V0,V6), P_ld-{F}(V6,V5,V7) | P_mult-{T}(V1,V0,V7)
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #48: exists( #9, #46 ), references = 11, size of lhs = 3:
% 95.26/95.43 P_mult-{F}(V0,V1,V0), P_mult-{F}(V2,V0,V3), P_ld-{F}(V2,V3,V2) | P_rd-{T}(V2,V0,V1)
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #56: mergings( V6 == V7; #54 ), references = 1, size of lhs = 7:
% 95.26/95.43 P_mult-{F}(V0,V1,V0), V1 == V0, P_mult-{F}(V2,V3,V0), P_mult-{F}(V4,V3,V1), P_mult-{F}(V2,V5,V6), P_mult-{F}(V3,V6,V5), P_mult-{F}(V6,V5,V4) | FALSE
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #68: exists( #8, #66 ), references = 2, size of lhs = 3:
% 95.26/95.43 P_ld-{F}(V0,V1,V0), P_mult-{F}(V0,V2,V1), P_mult-{F}(V3,V2,V0) | P_ld-{T}(V2,V2,V3)
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #80: mergings( V0 == V4; #77 ), references = 1, size of lhs = 5:
% 95.26/95.43 P_mult-{F}(V0,V1,V1), P_rd-{F}(V1,V1,V2), P_mult-{F}(V3,V1,V1), P_mult-{F}(V3,V0,V4), V2 == V4 | FALSE
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #82: mergings( V0 == V3; #78 ), references = 1, size of lhs = 6:
% 95.26/95.43 P_mult-{F}(V0,V1,V1), P_mult-{F}(V2,V1,V1), P_mult-{F}(V2,V0,V3), P_mult-{F}(V3,V0,V4), P_mult-{F}(V4,V1,V5), V1 == V5 | FALSE
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #88: exists( #7, #86 ), references = 2, size of lhs = 2:
% 95.26/95.43 pppp0-{F}(V0,V1), P_mult-{F}(V0,V1,V1) | FALSE
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #157: exists( #8, #155 ), references = 3, size of lhs = 9:
% 95.26/95.43 P_mult-{F}(V0,V1,V2), P_mult-{F}(V0,V3,V4), P_mult-{F}(V4,V1,V5), P_ld-{F}(V2,V5,V6), P_mult-{F}(V1,V6,V7), P_mult-{F}(V8,V3,V7), P_mult-{F}(V8,V9,V3), P_mult-{F}(V3,V10,V9), P_mult-{F}(V10,V3,V11) | P_ld-{T}(V1,V3,V11)
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #260: exists( #8, #256 ), references = 1, size of lhs = 9:
% 95.26/95.43 P_mult-{F}(V0,V1,V2), P_mult-{F}(V3,V2,V4), P_mult-{F}(V4,V0,V5), P_mult-{F}(V3,V0,V6), P_mult-{F}(V7,V1,V8), V0 == V7, P_mult-{F}(V9,V7,V6), P_mult-{F}(V9,V8,V10), P_mult-{F}(V10,V7,V5) | FALSE
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #346: mergings( V5 == V6; #342 ), references = 1, size of lhs = 16:
% 95.26/95.43 P_mult-{F}(V0,V1,V2), P_mult-{F}(V3,V2,V4), P_mult-{F}(V4,V0,V5), P_mult-{F}(V3,V0,V6), P_mult-{F}(V7,V2,V8), P_mult-{F}(V8,V0,V9), P_mult-{F}(V7,V0,V10), P_mult-{F}(V11,V6,V10), P_mult-{F}(V12,V6,V9), P_mult-{F}(V11,V13,V12), P_mult-{F}(V14,V13,V5), P_mult-{F}(V14,V15,V13), P_mult-{F}(V13,V16,V15), P_mult-{F}(V16,V13,V17), P_mult-{F}(V6,V17,V18), V18 == V13 | FALSE
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #348: mergings( V5 == V6; #343 ), references = 5, size of lhs = 16:
% 95.26/95.43 P_mult-{F}(V0,V1,V2), P_mult-{F}(V3,V2,V4), P_mult-{F}(V4,V0,V5), P_mult-{F}(V3,V0,V6), P_mult-{F}(V7,V2,V8), P_mult-{F}(V8,V0,V9), P_mult-{F}(V7,V0,V10), P_mult-{F}(V11,V6,V10), P_mult-{F}(V12,V6,V9), P_mult-{F}(V11,V13,V12), P_mult-{F}(V6,V14,V13), P_mult-{F}(V15,V13,V5), P_mult-{F}(V15,V16,V13), P_mult-{F}(V13,V17,V16), P_mult-{F}(V17,V13,V18), V18 == V14 | FALSE
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #351: mergings( V5 == V6, V16 == V18; #344 ), references = 4, size of lhs = 17:
% 95.26/95.43 P_mult-{F}(V0,V1,V2), P_mult-{F}(V3,V2,V4), P_mult-{F}(V4,V0,V5), P_mult-{F}(V3,V0,V6), P_mult-{F}(V7,V2,V8), P_mult-{F}(V8,V0,V9), P_mult-{F}(V7,V0,V10), P_mult-{F}(V11,V12,V10), P_mult-{F}(V13,V12,V9), P_mult-{F}(V11,V14,V13), P_mult-{F}(V12,V15,V14), P_mult-{F}(V16,V14,V5), P_mult-{F}(V6,V15,V17), P_mult-{F}(V16,V18,V17), P_mult-{F}(V14,V19,V18), P_mult-{F}(V19,V14,V20), V20 == V15 | FALSE
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #463: exists( #8, #461 ), references = 3, size of lhs = 7:
% 95.26/95.43 P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V0,V2), P_mult-{F}(V2,V3,V4), P_mult-{F}(V1,V3,V5), P_ld-{F}(V5,V4,V6), P_mult-{F}(V3,V6,V7), V3 == V7 | FALSE
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #467: exists( #7, #465 ), references = 4, size of lhs = 9:
% 95.26/95.43 P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V0,V2), P_mult-{F}(V2,V3,V4), P_mult-{F}(V1,V3,V5), P_ld-{F}(V5,V4,V6), P_mult-{F}(V6,V7,V8), P_mult-{F}(V7,V6,V9), P_mult-{F}(V10,V8,V3), P_mult-{F}(V10,V6,V11) | P_mult-{T}(V11,V9,V3)
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #495: exists( #7, #493 ), references = 1, size of lhs = 11:
% 95.26/95.43 P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V0,V1), P_mult-{F}(V1,V2,V1), P_mult-{F}(V2,V3,V4), P_mult-{F}(V3,V2,V4), P_mult-{F}(V2,V5,V6), P_mult-{F}(V5,V2,V7), P_mult-{F}(V8,V6,V4), P_mult-{F}(V8,V2,V9), P_rd-{F}(V4,V7,V10), V10 == V9 | FALSE
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #497: exists( #7, #494 ), references = 1, size of lhs = 11:
% 95.26/95.43 P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V0,V1), P_mult-{F}(V1,V2,V1), P_mult-{F}(V2,V3,V4), P_mult-{F}(V3,V2,V4), P_mult-{F}(V2,V5,V6), P_mult-{F}(V5,V2,V7), P_mult-{F}(V8,V6,V4), P_mult-{F}(V8,V2,V9), P_rd-{F}(V4,V7,V10), V10 == V9 | FALSE
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #616: exists( #7, #613 ), references = 9, size of lhs = 5:
% 95.26/95.43 P_mult-{F}(V0,V1,V2), P_mult-{F}(V1,V0,V3), P_mult-{F}(V4,V2,V5), P_mult-{F}(V5,V0,V6), P_rd-{F}(V6,V3,V7) | P_mult-{T}(V4,V0,V7)
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #764: mergings( V7 == V1; #760 ), references = 1, size of lhs = 11:
% 95.26/95.43 P_rd-{F}(V0,V0,V1), P_ld-{F}(V2,V1,V3), P_mult-{F}(V2,V4,V5), P_mult-{F}(V6,V5,V4), V3 == V6, P_mult-{F}(V7,V4,V6), P_mult-{F}(V4,V7,V8), P_mult-{F}(V9,V8,V10), P_mult-{F}(V10,V4,V11), P_mult-{F}(V9,V6,V12), P_ld-{F}(V12,V11,V0) | FALSE
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #766: mergings( V1 == V21; #761 ), references = 1, size of lhs = 17:
% 95.26/95.43 P_rd-{F}(V0,V0,V1), P_mult-{F}(V2,V3,V1), P_mult-{F}(V3,V4,V5), P_mult-{F}(V4,V3,V6), P_mult-{F}(V2,V5,V7), P_mult-{F}(V8,V6,V7), P_mult-{F}(V6,V9,V10), P_mult-{F}(V9,V6,V11), V11 == V3, P_mult-{F}(V12,V10,V13), P_ld-{F}(V13,V14,V0), P_mult-{F}(V15,V16,V10), P_mult-{F}(V16,V15,V17), P_mult-{F}(V12,V17,V18), P_mult-{F}(V18,V16,V14), P_mult-{F}(V8,V16,V19), P_mult-{F}(V10,V19,V16) | FALSE
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #768: mergings( V22 == V1; #762 ), references = 1, size of lhs = 24:
% 95.26/95.43 P_rd-{F}(V0,V0,V1), P_mult-{F}(V2,V1,V3), P_mult-{F}(V2,V4,V1), P_mult-{F}(V1,V5,V4), P_mult-{F}(V5,V1,V6), P_mult-{F}(V7,V1,V8), P_mult-{F}(V9,V10,V3), P_mult-{F}(V11,V10,V12), P_mult-{F}(V7,V12,V13), P_mult-{F}(V14,V10,V13), P_mult-{F}(V8,V12,V15), P_mult-{F}(V11,V16,V9), P_mult-{F}(V10,V17,V16), P_mult-{F}(V14,V16,V18), P_mult-{F}(V18,V10,V15), P_mult-{F}(V12,V19,V20), P_mult-{F}(V21,V20,V19), V6 == V21, P_mult-{F}(V22,V19,V21), P_mult-{F}(V19,V22,V23), P_mult-{F}(V24,V23,V25), P_mult-{F}(V25,V19,V26), P_mult-{F}(V24,V21,V27), P_ld-{F}(V27,V26,V0) | FALSE
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #797: exists( #7, #795 ), references = 1, size of lhs = 9:
% 95.26/95.43 P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V0,V2), P_mult-{F}(V2,V3,V4), P_mult-{F}(V1,V3,V5), P_ld-{F}(V5,V4,V6), P_mult-{F}(V6,V7,V8), P_mult-{F}(V7,V6,V9), P_mult-{F}(V10,V9,V3), P_mult-{F}(V11,V8,V3) | P_mult-{T}(V11,V6,V10)
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #845: mergings( V14 == V15; #843 ), references = 1, size of lhs = 16:
% 95.26/95.43 P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V1,V1), P_mult-{F}(V2,V0,V3), P_mult-{F}(V4,V1,V5), P_mult-{F}(V3,V6,V7), P_mult-{F}(V2,V6,V8), P_ld-{F}(V8,V7,V9), P_mult-{F}(V9,V10,V11), P_mult-{F}(V12,V11,V6), P_mult-{F}(V12,V9,V13), V13 == V6, P_mult-{F}(V5,V13,V14), P_mult-{F}(V4,V13,V15), P_mult-{F}(V16,V9,V15), P_mult-{F}(V16,V11,V17), P_mult-{F}(V17,V9,V14) | FALSE
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #848: exists( #8, #846 ), references = 1, size of lhs = 15:
% 95.26/95.43 P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V1,V1), P_mult-{F}(V2,V0,V3), P_mult-{F}(V4,V1,V5), P_mult-{F}(V3,V6,V7), P_mult-{F}(V2,V6,V8), P_ld-{F}(V8,V7,V9), P_mult-{F}(V10,V11,V6), P_mult-{F}(V10,V9,V12), V12 == V6, P_mult-{F}(V5,V12,V13), P_mult-{F}(V4,V12,V14), P_mult-{F}(V15,V9,V14), P_mult-{F}(V15,V11,V16), P_mult-{F}(V16,V9,V13) | FALSE
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #991: exists( #7, #463 ), references = 5, size of lhs = 5:
% 95.26/95.43 P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V0,V2), P_mult-{F}(V2,V3,V4), P_mult-{F}(V1,V3,V5), P_ld-{F}(V5,V4,V6) | P_mult-{T}(V3,V6,V3)
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #1059: exists( #8, #1053 ), references = 4, size of lhs = 5:
% 95.26/95.43 P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V0,V2), P_mult-{F}(V2,V3,V4), P_mult-{F}(V1,V3,V5), P_ld-{F}(V3,V3,V6) | P_ld-{T}(V5,V4,V6)
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #1061: mergings( V20 == V22; #1057 ), references = 1, size of lhs = 17:
% 95.26/95.43 P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V0,V2), P_mult-{F}(V2,V3,V4), P_mult-{F}(V1,V3,V5), P_mult-{F}(V6,V7,V3), P_mult-{F}(V7,V8,V9), P_mult-{F}(V6,V9,V10), P_mult-{F}(V10,V7,V11), P_mult-{F}(V12,V3,V11), P_mult-{F}(V12,V13,V3), P_mult-{F}(V3,V14,V13), P_mult-{F}(V14,V3,V15), P_mult-{F}(V16,V9,V17), P_mult-{F}(V17,V7,V18), P_mult-{F}(V16,V7,V19), P_mult-{F}(V19,V3,V18), P_mult-{F}(V20,V3,V19) | P_ld-{T}(V5,V4,V15)
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #1063: mergings( V20 == V22; #1058 ), references = 1, size of lhs = 17:
% 95.26/95.43 P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V0,V2), P_mult-{F}(V2,V3,V4), P_mult-{F}(V1,V3,V5), P_mult-{F}(V6,V7,V3), P_mult-{F}(V7,V8,V9), P_mult-{F}(V6,V9,V10), P_mult-{F}(V10,V7,V11), P_mult-{F}(V12,V3,V11), P_mult-{F}(V12,V13,V3), P_mult-{F}(V3,V14,V13), P_mult-{F}(V14,V3,V15), P_mult-{F}(V16,V9,V17), P_mult-{F}(V17,V7,V18), P_mult-{F}(V16,V7,V19), P_mult-{F}(V19,V3,V18), P_mult-{F}(V20,V3,V19) | P_ld-{T}(V5,V4,V15)
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #1066: exists( #7, #1064 ), references = 2, size of lhs = 7:
% 95.26/95.43 P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V0,V2), P_mult-{F}(V2,V3,V4), P_mult-{F}(V1,V3,V5), P_ld-{F}(V3,V3,V6), P_mult-{F}(V5,V6,V7), V7 == V4 | FALSE
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #1107: exists( #8, #1101 ), references = 1, size of lhs = 5:
% 95.26/95.43 P_mult-{F}(V0,V0,V1), P_mult-{F}(V2,V0,V3), P_ld-{F}(V2,V3,V2), P_mult-{F}(V0,V2,V4), P_ld-{F}(V4,V1,V5) | P_ld-{T}(V0,V0,V5)
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #1108: exists( #8, #1102 ), references = 1, size of lhs = 18:
% 95.26/95.43 P_mult-{F}(V0,V0,V1), P_mult-{F}(V2,V1,V3), P_mult-{F}(V2,V4,V1), P_mult-{F}(V1,V5,V4), P_mult-{F}(V5,V1,V6), P_mult-{F}(V7,V1,V8), P_mult-{F}(V9,V0,V10), P_ld-{F}(V9,V10,V9), P_mult-{F}(V0,V9,V11), P_mult-{F}(V7,V11,V12), P_mult-{F}(V8,V11,V13), P_mult-{F}(V14,V15,V11), P_mult-{F}(V16,V15,V12), P_mult-{F}(V17,V15,V3), P_mult-{F}(V14,V18,V17), P_mult-{F}(V15,V19,V18), P_mult-{F}(V16,V18,V20), P_mult-{F}(V20,V15,V13) | P_ld-{T}(V0,V0,V6)
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #1109: exists( #8, #1103 ), references = 1, size of lhs = 18:
% 95.26/95.43 P_mult-{F}(V0,V0,V1), P_mult-{F}(V2,V1,V3), P_mult-{F}(V2,V4,V1), P_mult-{F}(V1,V5,V4), P_mult-{F}(V5,V1,V6), P_mult-{F}(V7,V1,V8), P_mult-{F}(V9,V0,V10), P_ld-{F}(V9,V10,V9), P_mult-{F}(V0,V9,V11), P_mult-{F}(V7,V11,V12), P_mult-{F}(V8,V11,V13), P_mult-{F}(V14,V15,V11), P_mult-{F}(V16,V15,V12), P_mult-{F}(V17,V15,V3), P_mult-{F}(V14,V18,V17), P_mult-{F}(V15,V19,V18), P_mult-{F}(V16,V18,V20), P_mult-{F}(V20,V15,V13) | P_ld-{T}(V0,V0,V6)
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #1143: exists( #8, #1141 ), references = 1, size of lhs = 9:
% 95.26/95.43 P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V1,V1), P_mult-{F}(V2,V0,V3), P_mult-{F}(V3,V4,V5), V5 == V4, P_mult-{F}(V5,V1,V4), P_mult-{F}(V2,V4,V5), P_mult-{F}(V5,V5,V6), P_ld-{F}(V5,V6,V5) | FALSE
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #1200: exists( #8, #1194 ), references = 1, size of lhs = 9:
% 95.26/95.43 P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V0,V2), P_mult-{F}(V2,V3,V4), P_mult-{F}(V1,V3,V5), P_rd-{F}(V4,V3,V6), P_ld-{F}(V7,V6,V8), P_mult-{F}(V7,V9,V5), P_mult-{F}(V9,V3,V10), P_ld-{F}(V9,V10,V9) | P_ld-{T}(V3,V3,V8)
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #1201: exists( #8, #1195 ), references = 1, size of lhs = 22:
% 95.26/95.43 P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V0,V2), P_mult-{F}(V2,V3,V4), P_mult-{F}(V1,V3,V5), P_rd-{F}(V4,V3,V6), P_mult-{F}(V7,V6,V8), P_mult-{F}(V7,V9,V6), P_mult-{F}(V6,V10,V9), P_mult-{F}(V10,V6,V11), P_mult-{F}(V12,V6,V13), P_mult-{F}(V14,V3,V15), P_ld-{F}(V14,V15,V14), P_mult-{F}(V16,V14,V5), P_mult-{F}(V12,V16,V17), P_mult-{F}(V13,V16,V18), P_mult-{F}(V19,V20,V16), P_mult-{F}(V21,V20,V17), P_mult-{F}(V22,V20,V8), P_mult-{F}(V19,V23,V22), P_mult-{F}(V20,V24,V23), P_mult-{F}(V21,V23,V25), P_mult-{F}(V25,V20,V18) | P_ld-{T}(V3,V3,V11)
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #1202: exists( #8, #1196 ), references = 1, size of lhs = 22:
% 95.26/95.43 P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V0,V2), P_mult-{F}(V2,V3,V4), P_mult-{F}(V1,V3,V5), P_rd-{F}(V4,V3,V6), P_mult-{F}(V7,V6,V8), P_mult-{F}(V7,V9,V6), P_mult-{F}(V6,V10,V9), P_mult-{F}(V10,V6,V11), P_mult-{F}(V12,V6,V13), P_mult-{F}(V14,V3,V15), P_ld-{F}(V14,V15,V14), P_mult-{F}(V16,V14,V5), P_mult-{F}(V12,V16,V17), P_mult-{F}(V13,V16,V18), P_mult-{F}(V19,V20,V16), P_mult-{F}(V21,V20,V17), P_mult-{F}(V22,V20,V8), P_mult-{F}(V19,V23,V22), P_mult-{F}(V20,V24,V23), P_mult-{F}(V21,V23,V25), P_mult-{F}(V25,V20,V18) | P_ld-{T}(V3,V3,V11)
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #1208: exists( #7, #1206 ), references = 1, size of lhs = 9:
% 95.26/95.43 P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V0,V2), P_mult-{F}(V2,V3,V4), P_mult-{F}(V1,V3,V5), P_rd-{F}(V4,V3,V6), P_mult-{F}(V7,V3,V5), P_ld-{F}(V7,V6,V8), P_mult-{F}(V8,V3,V9), V9 == V3 | FALSE
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #1211: exists( #7, #1209 ), references = 1, size of lhs = 4:
% 95.26/95.43 P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V0,V1), P_ld-{F}(V1,V1,V1), #-{F} V2 | P_mult-{T}(V1,V2,V2)
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #1214: exists( #5, #1212 ), references = 2, size of lhs = 3:
% 95.26/95.43 P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V0,V1), P_ld-{F}(V1,V1,V1) | FALSE
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #1224: exists( #8, #1222 ), references = 1, size of lhs = 2:
% 95.26/95.43 P_mult-{F}(V0,V0,V1), P_ld-{F}(V0,V1,V0) | FALSE
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 #1227: exists( #7, #1225 ), references = 1, size of lhs = 1:
% 95.26/95.43 #-{F} V0 | FALSE
% 95.26/95.43 (used 0 times, uses = {})
% 95.26/95.43
% 95.26/95.43 number of learnt formulas = 48
% 95.26/95.43
% 95.26/95.43
% 95.26/95.43 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 95.26/95.43
% 95.26/95.43 randbase = 1
%------------------------------------------------------------------------------