TSTP Solution File: GRP756-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP756-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n017.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 06:04:32 EDT 2022
% Result : Unsatisfiable 88.02s 88.27s
% Output : Refutation 88.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GRP756-1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n017.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 13:56:13 EDT 2022
% 0.13/0.33 % CPUTime :
% 88.02/88.27 GeoParameters:
% 88.02/88.27
% 88.02/88.27 tptp_input = 1
% 88.02/88.27 tptp_output = 0
% 88.02/88.27 nonempty = 1
% 88.02/88.27 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 88.02/88.27 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 88.02/88.27
% 88.02/88.27
% 88.02/88.27 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 88.02/88.27 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 88.02/88.27
% 88.02/88.27 RuleSystem INPUT:
% 88.02/88.27
% 88.02/88.27 Initial Rules:
% 88.02/88.27 #0: input, references = 4, size of lhs = 3:
% 88.02/88.27 P_ld-{F}(V0,V1,V2), P_mult-{F}(V0,V2,V3), V3 == V1 | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #1: input, references = 9, size of lhs = 3:
% 88.02/88.27 P_mult-{F}(V0,V1,V2), P_ld-{F}(V0,V2,V3), V3 == V1 | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #2: input, references = 5, size of lhs = 3:
% 88.02/88.27 P_rd-{F}(V0,V1,V2), P_mult-{F}(V2,V1,V3), V3 == V0 | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #3: input, references = 8, size of lhs = 3:
% 88.02/88.27 P_mult-{F}(V0,V1,V2), P_rd-{F}(V2,V1,V3), V3 == V0 | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #4: input, references = 12, size of lhs = 7:
% 88.02/88.27 P_mult-{F}(V1,V1,V3), P_mult-{F}(V3,V2,V4), P_mult-{F}(V0,V4,V5), P_mult-{F}(V0,V1,V6), P_mult-{F}(V1,V2,V7), P_mult-{F}(V6,V7,V8), V5 == V8 | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #5: input, references = 7, size of lhs = 7:
% 88.02/88.27 P_a-{F}(V0), P_b-{F}(V1), P_mult-{F}(V0,V1,V2), P_c-{F}(V3), P_mult-{F}(V2,V3,V6), P_mult-{F}(V1,V3,V5), P_mult-{F}(V0,V5,V6) | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #6: input, references = 33, size of lhs = 2:
% 88.02/88.27 #-{F} V0, #-{F} V1 | EXISTS V2: P_mult-{T}(V0,V1,V2)
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #7: input, references = 19, size of lhs = 2:
% 88.02/88.27 #-{F} V0, #-{F} V1 | EXISTS V2: P_ld-{T}(V0,V1,V2)
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #8: input, references = 17, size of lhs = 2:
% 88.02/88.27 #-{F} V0, #-{F} V1 | EXISTS V2: P_rd-{T}(V0,V1,V2)
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #9: input, references = 4, size of lhs = 0:
% 88.02/88.27 FALSE | EXISTS V0: P_a-{T}(V0)
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #10: input, references = 4, size of lhs = 0:
% 88.02/88.27 FALSE | EXISTS V0: P_b-{T}(V0)
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #11: input, references = 5, size of lhs = 0:
% 88.02/88.27 FALSE | EXISTS V0: P_c-{T}(V0)
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 number of initial rules = 12
% 88.02/88.27
% 88.02/88.27 Simplifiers:
% 88.02/88.27 #12: unsound, references = 3, size of lhs = 3:
% 88.02/88.27 P_mult-{F}(V0,V1,V2), P_mult-{F}(V0,V1,V5), V2 == V5 | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #13: unsound, references = 3, size of lhs = 3:
% 88.02/88.27 P_ld-{F}(V0,V1,V2), P_ld-{F}(V0,V1,V5), V2 == V5 | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #14: unsound, references = 3, size of lhs = 3:
% 88.02/88.27 P_rd-{F}(V0,V1,V2), P_rd-{F}(V0,V1,V5), V2 == V5 | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #15: unsound, references = 3, size of lhs = 3:
% 88.02/88.27 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #16: unsound, references = 3, size of lhs = 3:
% 88.02/88.27 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #17: unsound, references = 3, size of lhs = 3:
% 88.02/88.27 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 number of simplifiers = 6
% 88.02/88.27
% 88.02/88.27 Learnt:
% 88.02/88.27 #19: exists( #7, #1 ), references = 14, size of lhs = 1:
% 88.02/88.27 P_mult-{F}(V0,V1,V2) | P_ld-{T}(V0,V2,V1)
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #21: exists( #8, #3 ), references = 10, size of lhs = 1:
% 88.02/88.27 P_mult-{F}(V0,V1,V2) | P_rd-{T}(V2,V1,V0)
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #23: exists( #6, #0 ), references = 52, size of lhs = 1:
% 88.02/88.27 P_ld-{F}(V0,V1,V2) | P_mult-{T}(V0,V2,V1)
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #26: exists( #6, #4 ), references = 22, size of lhs = 5:
% 88.02/88.27 P_mult-{F}(V0,V0,V1), P_mult-{F}(V1,V2,V3), P_mult-{F}(V0,V2,V4), P_mult-{F}(V5,V0,V6), P_mult-{F}(V6,V4,V7) | P_mult-{T}(V5,V3,V7)
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #28: exists( #6, #2 ), references = 14, size of lhs = 1:
% 88.02/88.27 P_rd-{F}(V0,V1,V2) | P_mult-{T}(V2,V1,V0)
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #31: exists( #6, #29 ), references = 28, size of lhs = 5:
% 88.02/88.27 P_mult-{F}(V0,V0,V1), P_mult-{F}(V0,V2,V3), P_mult-{F}(V4,V0,V5), P_mult-{F}(V5,V3,V6), P_ld-{F}(V4,V6,V7) | P_mult-{T}(V1,V2,V7)
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #37: mergings( V2 == V3; #35 ), references = 1, size of lhs = 2:
% 88.02/88.27 P_mult-{F}(V0,V0,V1), P_mult-{F}(V0,V1,V0) | P_rd-{T}(V0,V0,V1)
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #51: exists( #6, #49 ), references = 1, size of lhs = 9:
% 88.02/88.27 P_mult-{F}(V0,V0,V1), P_mult-{F}(V1,V1,V2), P_mult-{F}(V0,V3,V4), P_mult-{F}(V5,V1,V6), P_mult-{F}(V6,V0,V7), P_mult-{F}(V7,V4,V8), P_ld-{F}(V5,V8,V9), P_rd-{F}(V9,V3,V10), V10 == V2 | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #53: exists( #6, #50 ), references = 1, size of lhs = 7:
% 88.02/88.27 P_mult-{F}(V0,V0,V1), P_mult-{F}(V0,V2,V3), P_mult-{F}(V4,V1,V5), P_mult-{F}(V5,V0,V6), P_mult-{F}(V6,V3,V7), P_ld-{F}(V4,V7,V8), P_rd-{F}(V8,V2,V9) | P_mult-{T}(V1,V1,V9)
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #67: mergings( V5 == V6; #65 ), references = 1, size of lhs = 6:
% 88.02/88.27 P_mult-{F}(V0,V0,V1), P_mult-{F}(V1,V1,V2), P_mult-{F}(V2,V3,V3), P_mult-{F}(V0,V3,V4), P_mult-{F}(V2,V0,V5), P_mult-{F}(V5,V4,V6) | P_mult-{T}(V1,V3,V6)
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #87: exists( #6, #4 ), references = 15, size of lhs = 5:
% 88.02/88.27 P_mult-{F}(V0,V0,V1), P_mult-{F}(V1,V2,V3), P_mult-{F}(V0,V2,V4), P_mult-{F}(V5,V3,V6), P_mult-{F}(V5,V0,V7) | P_mult-{T}(V7,V4,V6)
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #94: exists( #8, #90 ), references = 3, size of lhs = 6:
% 88.02/88.27 P_ld-{F}(V0,V0,V1), P_rd-{F}(V0,V2,V3), P_mult-{F}(V2,V2,V4), P_mult-{F}(V4,V5,V2), P_mult-{F}(V2,V5,V6), V1 == V6 | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #95: exists( #8, #91 ), references = 3, size of lhs = 10:
% 88.02/88.27 P_mult-{F}(V0,V0,V1), P_mult-{F}(V2,V1,V3), P_mult-{F}(V2,V0,V4), P_rd-{F}(V1,V5,V6), P_mult-{F}(V5,V5,V7), P_mult-{F}(V7,V8,V5), P_mult-{F}(V5,V8,V9), P_mult-{F}(V0,V9,V10), P_mult-{F}(V4,V10,V11), V3 == V11 | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #104: exists( #6, #101 ), references = 1, size of lhs = 9:
% 88.02/88.27 P_mult-{F}(V0,V0,V1), P_mult-{F}(V0,V2,V3), P_mult-{F}(V4,V0,V5), P_mult-{F}(V5,V3,V6), P_mult-{F}(V4,V4,V7), P_mult-{F}(V8,V4,V9), P_mult-{F}(V9,V6,V10), P_ld-{F}(V8,V10,V11), P_ld-{F}(V7,V11,V12) | P_mult-{T}(V1,V2,V12)
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #105: exists( #6, #100 ), references = 1, size of lhs = 13:
% 88.02/88.27 P_mult-{F}(V0,V0,V1), P_mult-{F}(V2,V2,V3), P_mult-{F}(V4,V2,V1), P_mult-{F}(V4,V3,V5), P_mult-{F}(V0,V6,V7), P_mult-{F}(V2,V8,V6), P_mult-{F}(V9,V7,V8), P_mult-{F}(V10,V0,V9), P_mult-{F}(V10,V10,V11), P_rd-{F}(V3,V10,V12), P_mult-{F}(V13,V10,V14), P_mult-{F}(V14,V8,V15), P_ld-{F}(V13,V15,V10) | P_mult-{T}(V1,V6,V5)
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #142: exists( #6, #139 ), references = 6, size of lhs = 5:
% 88.02/88.27 P_mult-{F}(V0,V1,V2), P_mult-{F}(V3,V0,V4), P_mult-{F}(V4,V2,V5), P_ld-{F}(V3,V5,V6), P_rd-{F}(V6,V1,V7) | P_mult-{T}(V0,V0,V7)
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #165: mergings( V4 == V5; #163 ), references = 1, size of lhs = 11:
% 88.02/88.27 P_mult-{F}(V0,V1,V1), P_mult-{F}(V0,V2,V3), P_mult-{F}(V4,V0,V5), P_mult-{F}(V5,V3,V6), P_ld-{F}(V4,V6,V7), P_mult-{F}(V8,V0,V9), P_mult-{F}(V9,V1,V10), P_ld-{F}(V8,V10,V11), P_mult-{F}(V12,V0,V13), P_mult-{F}(V13,V11,V14), P_ld-{F}(V12,V14,V0) | P_rd-{T}(V7,V2,V0)
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #194: mergings( V9 == V10; #192 ), references = 4, size of lhs = 12:
% 88.02/88.27 P_mult-{F}(V0,V0,V1), P_mult-{F}(V1,V2,V3), P_mult-{F}(V0,V2,V4), P_mult-{F}(V5,V4,V6), P_mult-{F}(V7,V3,V8), P_mult-{F}(V9,V7,V10), P_mult-{F}(V10,V8,V11), P_ld-{F}(V9,V11,V6), P_mult-{F}(V12,V6,V13), P_mult-{F}(V12,V7,V14), P_mult-{F}(V14,V8,V15), V13 == V15 | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #199: exists( #8, #197 ), references = 4, size of lhs = 11:
% 88.02/88.27 P_mult-{F}(V0,V0,V1), P_mult-{F}(V1,V2,V3), P_mult-{F}(V0,V2,V4), P_mult-{F}(V5,V3,V6), P_mult-{F}(V7,V5,V8), P_mult-{F}(V8,V6,V9), P_ld-{F}(V7,V9,V10), P_mult-{F}(V11,V10,V12), P_mult-{F}(V11,V5,V13), P_mult-{F}(V13,V6,V14), V12 == V14 | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #233: mergings( V2 == V3; #229 ), references = 1, size of lhs = 6:
% 88.02/88.27 P_mult-{F}(V0,V1,V1), P_mult-{F}(V2,V0,V3), P_mult-{F}(V3,V1,V4), P_ld-{F}(V2,V4,V5), P_mult-{F}(V0,V5,V6), V6 == V5 | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #234: exists( #6, #227 ), references = 2, size of lhs = 13:
% 88.02/88.27 P_mult-{F}(V0,V0,V1), P_mult-{F}(V1,V2,V3), P_mult-{F}(V0,V2,V4), P_mult-{F}(V5,V3,V6), P_mult-{F}(V5,V6,V7), P_mult-{F}(V8,V5,V9), P_mult-{F}(V9,V7,V10), P_ld-{F}(V8,V10,V11), P_mult-{F}(V12,V5,V13), P_mult-{F}(V13,V6,V14), P_ld-{F}(V12,V14,V15), P_mult-{F}(V5,V15,V16), V16 == V11 | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #235: exists( #6, #228 ), references = 2, size of lhs = 14:
% 88.02/88.27 P_mult-{F}(V0,V0,V1), P_mult-{F}(V1,V2,V3), P_mult-{F}(V0,V2,V4), P_mult-{F}(V5,V4,V6), P_mult-{F}(V7,V3,V8), P_mult-{F}(V7,V8,V9), P_mult-{F}(V7,V6,V10), P_mult-{F}(V11,V7,V12), P_mult-{F}(V12,V9,V13), P_ld-{F}(V11,V13,V14), V10 == V14, P_mult-{F}(V15,V7,V16), P_mult-{F}(V16,V8,V17), P_ld-{F}(V15,V17,V6) | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #284: exists( #6, #278 ), references = 2, size of lhs = 15:
% 88.02/88.27 P_mult-{F}(V0,V0,V1), P_mult-{F}(V2,V2,V1), P_mult-{F}(V0,V3,V4), P_mult-{F}(V2,V3,V5), P_mult-{F}(V6,V0,V7), P_mult-{F}(V7,V4,V8), P_mult-{F}(V6,V8,V9), P_mult-{F}(V10,V6,V11), P_mult-{F}(V11,V9,V12), P_ld-{F}(V10,V12,V13), P_mult-{F}(V14,V6,V15), P_mult-{F}(V15,V8,V16), P_ld-{F}(V14,V16,V17), P_mult-{F}(V6,V17,V18), V18 == V13 | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #285: exists( #6, #281 ), references = 1, size of lhs = 24:
% 88.02/88.27 P_mult-{F}(V0,V0,V1), P_mult-{F}(V1,V2,V3), P_mult-{F}(V0,V2,V4), P_mult-{F}(V5,V5,V6), P_mult-{F}(V6,V7,V4), P_mult-{F}(V5,V7,V8), P_mult-{F}(V9,V9,V10), P_mult-{F}(V9,V8,V11), P_mult-{F}(V12,V5,V10), P_mult-{F}(V13,V0,V12), P_mult-{F}(V14,V14,V13), P_mult-{F}(V14,V3,V15), P_mult-{F}(V16,V14,V17), P_mult-{F}(V17,V15,V18), P_mult-{F}(V16,V18,V19), P_mult-{F}(V20,V11,V21), P_mult-{F}(V16,V21,V22), P_mult-{F}(V23,V16,V24), P_mult-{F}(V24,V19,V25), P_ld-{F}(V23,V25,V26), V22 == V26, P_mult-{F}(V27,V16,V28), P_mult-{F}(V28,V18,V29), P_ld-{F}(V27,V29,V21) | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #335: exists( #6, #333 ), references = 1, size of lhs = 23:
% 88.02/88.27 P_mult-{F}(V0,V0,V1), P_mult-{F}(V1,V2,V3), P_mult-{F}(V0,V2,V4), P_mult-{F}(V5,V0,V6), P_mult-{F}(V5,V5,V7), P_mult-{F}(V8,V8,V9), P_mult-{F}(V9,V10,V4), P_mult-{F}(V8,V10,V11), P_mult-{F}(V6,V8,V12), P_mult-{F}(V13,V13,V12), P_mult-{F}(V13,V11,V14), P_mult-{F}(V15,V5,V16), P_mult-{F}(V16,V13,V17), P_mult-{F}(V17,V14,V18), P_mult-{F}(V15,V18,V19), P_mult-{F}(V20,V15,V21), P_mult-{F}(V21,V19,V22), P_ld-{F}(V20,V22,V23), P_mult-{F}(V24,V15,V25), P_mult-{F}(V25,V18,V26), P_ld-{F}(V24,V26,V27), P_mult-{F}(V15,V27,V28), V28 == V23 | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #408: exists( #7, #406 ), references = 1, size of lhs = 19:
% 88.02/88.27 P_mult-{F}(V0,V0,V1), P_mult-{F}(V2,V0,V3), P_mult-{F}(V3,V4,V5), P_ld-{F}(V2,V5,V6), P_mult-{F}(V7,V6,V8), P_mult-{F}(V7,V0,V9), P_mult-{F}(V10,V10,V9), P_mult-{F}(V10,V4,V11), P_mult-{F}(V12,V12,V9), P_mult-{F}(V12,V4,V13), P_mult-{F}(V14,V8,V15), P_mult-{F}(V14,V10,V16), P_mult-{F}(V17,V13,V16), P_mult-{F}(V18,V12,V17), V8 == V18, P_mult-{F}(V18,V11,V19), P_mult-{F}(V20,V18,V21), P_mult-{F}(V21,V19,V22), P_ld-{F}(V20,V22,V15) | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #466: exists( #6, #463 ), references = 8, size of lhs = 13:
% 88.02/88.27 P_a-{F}(V0), P_b-{F}(V1), P_mult-{F}(V0,V1,V2), P_c-{F}(V3), P_mult-{F}(V1,V3,V4), P_mult-{F}(V5,V5,V6), P_mult-{F}(V6,V7,V4), P_mult-{F}(V5,V7,V8), P_mult-{F}(V0,V5,V9), P_mult-{F}(V9,V10,V2), P_mult-{F}(V10,V10,V11), P_mult-{F}(V10,V12,V3), P_mult-{F}(V11,V12,V8) | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #518: exists( #8, #513 ), references = 1, size of lhs = 15:
% 88.02/88.27 P_mult-{F}(V0,V0,V1), P_mult-{F}(V2,V2,V1), P_mult-{F}(V3,V2,V1), P_ld-{F}(V3,V0,V4), P_mult-{F}(V4,V4,V5), P_mult-{F}(V6,V6,V1), P_mult-{F}(V2,V7,V8), P_mult-{F}(V0,V8,V9), P_mult-{F}(V10,V9,V10), P_mult-{F}(V7,V7,V11), P_mult-{F}(V7,V12,V6), P_mult-{F}(V11,V12,V8), P_mult-{F}(V6,V7,V13), P_mult-{F}(V0,V13,V14), V5 == V14 | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #520: mergings( V3 == V5; #516 ), references = 1, size of lhs = 17:
% 88.02/88.27 P_mult-{F}(V0,V0,V1), P_mult-{F}(V2,V2,V1), P_mult-{F}(V3,V3,V1), P_mult-{F}(V4,V3,V1), P_ld-{F}(V4,V2,V5), P_mult-{F}(V5,V5,V6), P_mult-{F}(V6,V7,V5), P_mult-{F}(V5,V7,V8), P_mult-{F}(V9,V0,V10), P_mult-{F}(V9,V2,V10), P_mult-{F}(V3,V11,V12), P_mult-{F}(V2,V12,V13), P_mult-{F}(V14,V13,V14), P_mult-{F}(V0,V12,V15), V15 == V8, P_mult-{F}(V2,V11,V16), P_mult-{F}(V14,V16,V10) | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #522: mergings( V9 == V13; #517 ), references = 1, size of lhs = 18:
% 88.02/88.27 P_mult-{F}(V0,V0,V1), P_mult-{F}(V2,V2,V1), P_mult-{F}(V3,V2,V1), P_ld-{F}(V3,V0,V4), P_mult-{F}(V2,V5,V6), P_mult-{F}(V5,V5,V7), P_mult-{F}(V7,V8,V6), P_mult-{F}(V5,V8,V9), P_mult-{F}(V0,V6,V10), P_mult-{F}(V11,V10,V11), P_mult-{F}(V12,V9,V1), P_ld-{F}(V12,V0,V13), P_mult-{F}(V4,V13,V14), V14 == V10, P_mult-{F}(V9,V15,V6), P_mult-{F}(V16,V16,V17), P_mult-{F}(V17,V18,V15), P_mult-{F}(V16,V18,V19) | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #559: exists( #7, #553 ), references = 1, size of lhs = 11:
% 88.02/88.27 P_mult-{F}(V0,V0,V1), P_mult-{F}(V0,V2,V3), P_mult-{F}(V4,V1,V5), P_mult-{F}(V4,V0,V6), P_mult-{F}(V6,V3,V7), V5 == V7, P_mult-{F}(V8,V8,V9), P_rd-{F}(V1,V8,V10), P_mult-{F}(V11,V8,V12), P_mult-{F}(V12,V2,V13), P_ld-{F}(V11,V13,V8) | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #560: exists( #7, #554 ), references = 2, size of lhs = 7:
% 88.02/88.27 P_ld-{F}(V0,V0,V1), P_mult-{F}(V2,V2,V3), P_rd-{F}(V0,V2,V4), P_mult-{F}(V5,V2,V6), P_ld-{F}(V5,V7,V2), P_mult-{F}(V6,V8,V7), V1 == V8 | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #561: exists( #7, #555 ), references = 13, size of lhs = 5:
% 88.02/88.27 P_mult-{F}(V0,V0,V1), P_mult-{F}(V2,V0,V3), P_mult-{F}(V3,V4,V5), P_ld-{F}(V2,V5,V6), P_ld-{F}(V1,V6,V7) | P_ld-{T}(V0,V4,V7)
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #563: exists( #6, #556 ), references = 1, size of lhs = 9:
% 88.02/88.27 P_mult-{F}(V0,V0,V1), P_mult-{F}(V0,V2,V3), P_mult-{F}(V4,V1,V5), P_mult-{F}(V4,V0,V6), P_mult-{F}(V7,V7,V8), P_rd-{F}(V1,V7,V9), P_mult-{F}(V10,V7,V11), P_mult-{F}(V11,V2,V12), P_ld-{F}(V10,V12,V7) | P_mult-{T}(V6,V3,V5)
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #567: exists( #6, #565 ), references = 1, size of lhs = 13:
% 88.02/88.27 P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V0), P_mult-{F}(V1,V1,V0), P_mult-{F}(V0,V1,V2), P_mult-{F}(V0,V3,V2), P_mult-{F}(V3,V3,V4), P_mult-{F}(V4,V5,V0), P_mult-{F}(V3,V5,V6), P_mult-{F}(V1,V0,V7), P_mult-{F}(V6,V6,V8), P_mult-{F}(V6,V9,V0), P_mult-{F}(V8,V9,V7) | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #573: mergings( V1 == V4; #571 ), references = 1, size of lhs = 18:
% 88.02/88.27 P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V0), P_mult-{F}(V1,V1,V0), P_mult-{F}(V2,V2,V0), P_mult-{F}(V3,V3,V0), P_mult-{F}(V3,V4,V0), P_mult-{F}(V4,V1,V0), P_mult-{F}(V4,V4,V0), P_mult-{F}(V4,V2,V0), P_mult-{F}(V2,V5,V4), P_mult-{F}(V4,V5,V3), P_mult-{F}(V1,V6,V4), P_mult-{F}(V7,V7,V8), P_rd-{F}(V0,V7,V9), P_mult-{F}(V10,V7,V11), P_mult-{F}(V11,V6,V12), P_ld-{F}(V10,V12,V7) | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #578: mergings( V3 == V7; #576 ), references = 1, size of lhs = 16:
% 88.02/88.27 P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V0), P_mult-{F}(V1,V1,V0), P_mult-{F}(V2,V2,V0), P_mult-{F}(V3,V3,V0), P_mult-{F}(V3,V4,V0), P_mult-{F}(V4,V1,V0), P_mult-{F}(V4,V4,V0), P_mult-{F}(V4,V2,V0), P_mult-{F}(V2,V5,V4), P_mult-{F}(V4,V5,V3), P_mult-{F}(V1,V6,V4), P_mult-{F}(V7,V6,V7), P_mult-{F}(V8,V8,V9), P_rd-{F}(V0,V8,V10) | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #582: mergings( V2 == V3; #580 ), references = 1, size of lhs = 6:
% 88.02/88.27 P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V0), P_mult-{F}(V1,V1,V0), P_mult-{F}(V2,V2,V3), P_rd-{F}(V0,V2,V4) | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #611: exists( #8, #560 ), references = 1, size of lhs = 6:
% 88.02/88.27 P_ld-{F}(V0,V0,V1), P_mult-{F}(V2,V2,V3), P_mult-{F}(V4,V2,V5), P_ld-{F}(V4,V6,V2), P_mult-{F}(V5,V7,V6), V1 == V7 | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #615: exists( #8, #613 ), references = 1, size of lhs = 5:
% 88.02/88.27 P_ld-{F}(V0,V0,V1), P_mult-{F}(V2,V2,V3), P_mult-{F}(V4,V5,V4), V1 == V5, P_rd-{F}(V4,V2,V6) | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #617: exists( #7, #614 ), references = 29, size of lhs = 4:
% 88.02/88.27 P_mult-{F}(V0,V0,V1), P_mult-{F}(V2,V3,V2), P_rd-{F}(V2,V0,V4), #-{F} V5 | P_ld-{T}(V5,V5,V3)
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #649: exists( #6, #647 ), references = 3, size of lhs = 15:
% 88.02/88.27 P_a-{F}(V0), P_b-{F}(V1), P_mult-{F}(V0,V1,V2), P_c-{F}(V3), P_mult-{F}(V1,V3,V4), P_mult-{F}(V5,V5,V5), P_mult-{F}(V6,V5,V2), P_mult-{F}(V0,V7,V6), P_mult-{F}(V7,V7,V8), P_mult-{F}(V8,V9,V4), P_mult-{F}(V7,V9,V3), P_mult-{F}(V10,V10,V11), P_mult-{F}(V5,V10,V12), P_mult-{F}(V12,V13,V3), P_mult-{F}(V10,V14,V13) | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #709: exists( #7, #707 ), references = 4, size of lhs = 11:
% 88.02/88.27 P_a-{F}(V0), P_b-{F}(V1), P_mult-{F}(V0,V1,V2), P_c-{F}(V3), P_mult-{F}(V1,V3,V4), P_mult-{F}(V5,V5,V5), P_mult-{F}(V6,V5,V2), P_mult-{F}(V0,V7,V6), P_mult-{F}(V7,V7,V8), P_mult-{F}(V8,V9,V4), P_mult-{F}(V7,V9,V3) | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #713: exists( #6, #711 ), references = 2, size of lhs = 8:
% 88.02/88.27 P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V0), P_mult-{F}(V1,V1,V1), P_mult-{F}(V0,V1,V0), P_mult-{F}(V2,V1,V2), P_mult-{F}(V3,V3,V4), P_rd-{F}(V2,V3,V5) | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #738: exists( #8, #730 ), references = 1, size of lhs = 5:
% 88.02/88.27 P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V0), P_mult-{F}(V1,V0,V1), P_mult-{F}(V2,V2,V3) | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #750: mergings( V4 == V6; #748 ), references = 1, size of lhs = 9:
% 88.02/88.27 P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V0), P_mult-{F}(V1,V1,V2), P_mult-{F}(V3,V4,V3), P_mult-{F}(V5,V5,V6), P_rd-{F}(V7,V5,V8), P_mult-{F}(V9,V9,V10), P_rd-{F}(V7,V9,V11) | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #754: mergings( V4 == V5; #752 ), references = 1, size of lhs = 8:
% 88.02/88.27 P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V0), P_mult-{F}(V1,V1,V2), P_mult-{F}(V3,V3,V4), P_rd-{F}(V5,V3,V6), P_mult-{F}(V7,V7,V8), P_rd-{F}(V5,V7,V9) | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #757: exists( #6, #755 ), references = 1, size of lhs = 3:
% 88.02/88.27 P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V0) | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #781: exists( #6, #199 ), references = 3, size of lhs = 9:
% 88.02/88.27 P_mult-{F}(V0,V0,V1), P_mult-{F}(V1,V2,V3), P_mult-{F}(V0,V2,V4), P_mult-{F}(V5,V3,V6), P_mult-{F}(V7,V5,V8), P_mult-{F}(V8,V6,V9), P_ld-{F}(V7,V9,V10), P_mult-{F}(V11,V10,V12), P_mult-{F}(V11,V5,V13) | P_mult-{T}(V13,V6,V12)
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #782: exists( #6, #194 ), references = 1, size of lhs = 10:
% 88.02/88.27 P_mult-{F}(V0,V0,V1), P_mult-{F}(V1,V2,V3), P_mult-{F}(V0,V2,V4), P_mult-{F}(V5,V4,V6), P_mult-{F}(V7,V3,V8), P_mult-{F}(V9,V7,V10), P_mult-{F}(V10,V8,V11), P_ld-{F}(V9,V11,V6), P_mult-{F}(V12,V6,V13), P_mult-{F}(V12,V7,V14) | P_mult-{T}(V14,V8,V13)
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #827: exists( #7, #824 ), references = 2, size of lhs = 8:
% 88.02/88.27 P_mult-{F}(V0,V0,V1), P_mult-{F}(V2,V0,V3), P_mult-{F}(V3,V4,V5), P_ld-{F}(V2,V5,V6), P_mult-{F}(V7,V6,V8), P_mult-{F}(V7,V0,V9), P_mult-{F}(V9,V4,V10), V8 == V10 | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #833: exists( #8, #831 ), references = 6, size of lhs = 8:
% 88.02/88.27 P_mult-{F}(V0,V0,V1), P_mult-{F}(V2,V2,V3), P_mult-{F}(V4,V2,V5), P_mult-{F}(V5,V6,V7), P_ld-{F}(V4,V7,V8), P_mult-{F}(V9,V8,V9), P_rd-{F}(V9,V0,V10), P_mult-{F}(V11,V6,V12) | P_rd-{T}(V11,V2,V12)
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #838: exists( #7, #836 ), references = 1, size of lhs = 12:
% 88.02/88.27 P_mult-{F}(V0,V0,V1), P_mult-{F}(V2,V0,V3), P_mult-{F}(V3,V4,V5), P_ld-{F}(V2,V5,V6), P_mult-{F}(V7,V7,V8), P_mult-{F}(V9,V9,V10), P_mult-{F}(V11,V9,V1), P_ld-{F}(V11,V6,V12), P_mult-{F}(V13,V12,V13), P_rd-{F}(V13,V7,V14), P_mult-{F}(V4,V9,V15), V15 == V0 | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #844: mergings( V9 == V5; #842 ), references = 1, size of lhs = 9:
% 88.02/88.27 P_mult-{F}(V0,V0,V1), P_mult-{F}(V2,V2,V3), P_ld-{F}(V4,V4,V5), P_mult-{F}(V6,V5,V6), P_rd-{F}(V6,V0,V7), P_mult-{F}(V8,V5,V8), P_rd-{F}(V8,V2,V9), P_mult-{F}(V5,V4,V10), V10 == V4 | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #847: mergings( V9 == V0; #845 ), references = 12, size of lhs = 7:
% 88.02/88.27 P_mult-{F}(V0,V0,V1), P_mult-{F}(V2,V2,V3), P_ld-{F}(V4,V4,V5), P_mult-{F}(V6,V5,V6), P_rd-{F}(V6,V0,V7), P_mult-{F}(V8,V5,V8), P_rd-{F}(V8,V2,V9) | P_mult-{T}(V5,V4,V4)
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #882: exists( #7, #876 ), references = 1, size of lhs = 13:
% 88.02/88.27 P_a-{F}(V0), P_mult-{F}(V0,V0,V1), P_b-{F}(V2), P_mult-{F}(V2,V2,V3), P_mult-{F}(V0,V2,V4), P_c-{F}(V5), P_mult-{F}(V4,V5,V6), P_mult-{F}(V7,V2,V1), P_ld-{F}(V3,V8,V5), P_ld-{F}(V7,V9,V8), P_mult-{F}(V10,V0,V11), P_mult-{F}(V11,V6,V12), P_ld-{F}(V10,V12,V9) | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #883: exists( #7, #877 ), references = 1, size of lhs = 34:
% 88.02/88.27 P_a-{F}(V0), P_b-{F}(V1), P_mult-{F}(V1,V1,V2), P_mult-{F}(V0,V1,V3), P_c-{F}(V4), P_mult-{F}(V5,V5,V5), P_ld-{F}(V2,V6,V4), P_mult-{F}(V7,V5,V3), P_mult-{F}(V0,V8,V7), P_mult-{F}(V8,V8,V9), P_mult-{F}(V8,V10,V4), P_mult-{F}(V11,V11,V12), P_mult-{F}(V13,V14,V13), P_rd-{F}(V13,V11,V15), P_mult-{F}(V16,V16,V17), P_mult-{F}(V18,V1,V17), P_ld-{F}(V18,V19,V6), P_mult-{F}(V20,V16,V21), P_ld-{F}(V20,V22,V19), P_mult-{F}(V21,V23,V22), P_mult-{F}(V24,V24,V25), P_mult-{F}(V26,V26,V27), P_mult-{F}(V28,V26,V29), P_mult-{F}(V29,V14,V30), P_ld-{F}(V28,V30,V31), P_mult-{F}(V32,V31,V32), P_rd-{F}(V32,V24,V33), P_mult-{F}(V34,V34,V35), P_mult-{F}(V35,V36,V10), P_mult-{F}(V34,V36,V37), P_mult-{F}(V9,V34,V37), P_mult-{F}(V37,V26,V38), P_mult-{F}(V16,V37,V39), P_mult-{F}(V39,V38,V23) | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #884: exists( #7, #878 ), references = 1, size of lhs = 40:
% 88.02/88.27 P_a-{F}(V0), P_b-{F}(V1), P_mult-{F}(V1,V1,V2), P_mult-{F}(V0,V1,V3), P_c-{F}(V4), P_mult-{F}(V5,V5,V5), P_mult-{F}(V6,V5,V6), P_mult-{F}(V7,V5,V7), P_mult-{F}(V8,V5,V8), P_mult-{F}(V0,V5,V9), P_mult-{F}(V9,V10,V3), P_mult-{F}(V10,V10,V11), P_ld-{F}(V2,V12,V4), P_mult-{F}(V10,V13,V4), P_mult-{F}(V14,V14,V15), P_rd-{F}(V6,V14,V16), P_mult-{F}(V17,V17,V18), P_mult-{F}(V19,V1,V18), P_ld-{F}(V19,V20,V12), P_mult-{F}(V21,V17,V22), P_ld-{F}(V21,V23,V20), P_mult-{F}(V22,V24,V23), P_mult-{F}(V25,V25,V26), P_rd-{F}(V7,V25,V27), P_mult-{F}(V28,V28,V29), P_rd-{F}(V8,V28,V30), P_mult-{F}(V31,V31,V32), P_mult-{F}(V33,V33,V34), P_mult-{F}(V35,V33,V36), P_mult-{F}(V36,V5,V37), P_ld-{F}(V35,V37,V38), P_mult-{F}(V39,V38,V39), P_rd-{F}(V39,V31,V40), P_mult-{F}(V41,V41,V42), P_mult-{F}(V42,V43,V13), P_mult-{F}(V41,V43,V44), P_mult-{F}(V11,V41,V44), P_mult-{F}(V44,V33,V45), P_mult-{F}(V17,V44,V46), P_mult-{F}(V46,V45,V24) | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #898: exists( #6, #890 ), references = 1, size of lhs = 13:
% 88.02/88.27 P_a-{F}(V0), P_b-{F}(V1), P_mult-{F}(V0,V1,V2), P_c-{F}(V3), P_mult-{F}(V4,V4,V4), P_mult-{F}(V5,V4,V2), P_mult-{F}(V0,V6,V5), P_mult-{F}(V6,V6,V7), P_mult-{F}(V1,V8,V7), P_mult-{F}(V8,V8,V9), P_mult-{F}(V9,V10,V3), P_mult-{F}(V8,V10,V11), P_mult-{F}(V6,V11,V3) | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #899: exists( #6, #892 ), references = 1, size of lhs = 17:
% 88.02/88.27 P_a-{F}(V0), P_b-{F}(V1), P_mult-{F}(V0,V1,V2), P_c-{F}(V3), P_mult-{F}(V4,V4,V4), P_mult-{F}(V5,V4,V2), P_mult-{F}(V0,V6,V5), P_mult-{F}(V6,V6,V7), P_mult-{F}(V1,V8,V7), P_mult-{F}(V8,V8,V9), P_mult-{F}(V9,V10,V3), P_mult-{F}(V8,V10,V11), P_mult-{F}(V6,V11,V3), P_mult-{F}(V12,V12,V13), P_mult-{F}(V4,V12,V14), P_mult-{F}(V14,V15,V3), P_mult-{F}(V12,V16,V15) | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #900: exists( #6, #894 ), references = 1, size of lhs = 22:
% 88.02/88.27 P_a-{F}(V0), P_b-{F}(V1), P_mult-{F}(V0,V1,V2), P_c-{F}(V3), P_mult-{F}(V4,V4,V4), P_mult-{F}(V5,V4,V5), P_mult-{F}(V6,V4,V6), P_mult-{F}(V7,V4,V7), P_mult-{F}(V0,V4,V8), P_mult-{F}(V8,V9,V2), P_mult-{F}(V9,V9,V10), P_mult-{F}(V1,V11,V10), P_mult-{F}(V11,V11,V12), P_mult-{F}(V12,V13,V3), P_mult-{F}(V11,V13,V14), P_mult-{F}(V9,V14,V3), P_mult-{F}(V15,V15,V16), P_rd-{F}(V5,V15,V17), P_mult-{F}(V18,V18,V19), P_rd-{F}(V6,V18,V20), P_mult-{F}(V21,V21,V22), P_rd-{F}(V7,V21,V23) | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #924: exists( #7, #918 ), references = 2, size of lhs = 12:
% 88.02/88.27 P_a-{F}(V0), P_b-{F}(V1), P_mult-{F}(V0,V1,V2), P_c-{F}(V3), P_mult-{F}(V1,V3,V4), P_mult-{F}(V5,V5,V5), P_mult-{F}(V6,V5,V2), P_mult-{F}(V0,V7,V6), P_mult-{F}(V7,V7,V8), P_mult-{F}(V9,V7,V10), P_mult-{F}(V10,V3,V11), P_ld-{F}(V9,V11,V4) | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #925: exists( #7, #919 ), references = 1, size of lhs = 14:
% 88.02/88.27 P_a-{F}(V0), P_b-{F}(V1), P_mult-{F}(V0,V1,V2), P_c-{F}(V3), P_mult-{F}(V1,V3,V4), P_mult-{F}(V5,V5,V6), P_mult-{F}(V7,V5,V2), P_mult-{F}(V0,V8,V7), P_mult-{F}(V8,V8,V9), P_mult-{F}(V9,V10,V4), P_mult-{F}(V8,V10,V11), P_mult-{F}(V12,V5,V13), P_mult-{F}(V13,V3,V14), P_ld-{F}(V12,V14,V11) | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #926: exists( #7, #920 ), references = 1, size of lhs = 16:
% 88.02/88.27 P_a-{F}(V0), P_b-{F}(V1), P_mult-{F}(V0,V1,V2), P_c-{F}(V3), P_mult-{F}(V1,V3,V4), P_mult-{F}(V5,V5,V5), P_mult-{F}(V6,V5,V2), P_mult-{F}(V0,V7,V6), P_mult-{F}(V7,V7,V8), P_mult-{F}(V9,V7,V10), P_mult-{F}(V10,V3,V11), P_ld-{F}(V9,V11,V4), P_mult-{F}(V12,V12,V13), P_mult-{F}(V5,V12,V14), P_mult-{F}(V14,V15,V3), P_mult-{F}(V12,V16,V15) | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #939: exists( #6, #933 ), references = 1, size of lhs = 18:
% 88.02/88.27 P_a-{F}(V0), P_b-{F}(V1), P_mult-{F}(V0,V1,V2), P_c-{F}(V3), P_mult-{F}(V4,V4,V4), P_mult-{F}(V5,V4,V2), P_mult-{F}(V0,V6,V5), P_mult-{F}(V6,V6,V7), P_mult-{F}(V8,V6,V1), P_mult-{F}(V9,V8,V9), P_mult-{F}(V10,V8,V10), P_mult-{F}(V11,V8,V11), P_mult-{F}(V12,V12,V13), P_rd-{F}(V9,V12,V14), P_mult-{F}(V15,V15,V16), P_rd-{F}(V10,V15,V17), P_mult-{F}(V18,V18,V19), P_rd-{F}(V11,V18,V20) | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #940: exists( #6, #934 ), references = 2, size of lhs = 18:
% 88.02/88.27 P_a-{F}(V0), P_b-{F}(V1), P_mult-{F}(V0,V1,V2), P_c-{F}(V3), P_mult-{F}(V4,V4,V4), P_mult-{F}(V5,V4,V5), P_mult-{F}(V6,V4,V6), P_mult-{F}(V7,V4,V7), P_mult-{F}(V0,V4,V8), P_mult-{F}(V8,V9,V2), P_mult-{F}(V4,V9,V1), P_mult-{F}(V9,V9,V10), P_mult-{F}(V11,V11,V12), P_rd-{F}(V5,V11,V13), P_mult-{F}(V14,V14,V15), P_rd-{F}(V6,V14,V16), P_mult-{F}(V17,V17,V18), P_rd-{F}(V7,V17,V19) | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #941: exists( #6, #935 ), references = 1, size of lhs = 22:
% 88.02/88.27 P_a-{F}(V0), P_b-{F}(V1), P_mult-{F}(V0,V1,V2), P_c-{F}(V3), P_mult-{F}(V4,V4,V4), P_mult-{F}(V5,V4,V2), P_mult-{F}(V0,V6,V5), P_mult-{F}(V6,V6,V7), P_mult-{F}(V8,V6,V1), P_mult-{F}(V9,V8,V9), P_mult-{F}(V10,V8,V10), P_mult-{F}(V11,V8,V11), P_mult-{F}(V12,V12,V13), P_rd-{F}(V9,V12,V14), P_mult-{F}(V15,V15,V16), P_rd-{F}(V10,V15,V17), P_mult-{F}(V18,V18,V19), P_rd-{F}(V11,V18,V20), P_mult-{F}(V21,V21,V22), P_mult-{F}(V4,V21,V23), P_mult-{F}(V23,V24,V3), P_mult-{F}(V21,V25,V24) | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #949: exists( #6, #937 ), references = 2, size of lhs = 15:
% 88.02/88.27 P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V1), P_mult-{F}(V2,V2,V2), P_mult-{F}(V0,V2,V0), P_mult-{F}(V2,V0,V0), P_mult-{F}(V3,V2,V3), P_mult-{F}(V4,V2,V4), P_mult-{F}(V5,V2,V5), P_mult-{F}(V6,V6,V7), P_rd-{F}(V3,V6,V8), P_mult-{F}(V9,V9,V10), P_rd-{F}(V4,V9,V11), P_mult-{F}(V12,V12,V13), P_rd-{F}(V5,V12,V14) | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #950: exists( #6, #944 ), references = 1, size of lhs = 17:
% 88.02/88.27 P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V1), P_mult-{F}(V2,V2,V2), P_mult-{F}(V3,V2,V3), P_mult-{F}(V4,V0,V0), P_mult-{F}(V5,V4,V5), P_mult-{F}(V6,V4,V6), P_mult-{F}(V7,V4,V7), P_mult-{F}(V8,V8,V9), P_rd-{F}(V3,V8,V10), P_mult-{F}(V11,V11,V12), P_rd-{F}(V5,V11,V13), P_mult-{F}(V14,V14,V15), P_rd-{F}(V6,V14,V16), P_mult-{F}(V17,V17,V18), P_rd-{F}(V7,V17,V19) | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #951: exists( #6, #945 ), references = 1, size of lhs = 21:
% 88.02/88.27 P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V1), P_mult-{F}(V2,V2,V2), P_mult-{F}(V3,V2,V3), P_mult-{F}(V4,V0,V0), P_mult-{F}(V5,V4,V5), P_mult-{F}(V6,V4,V6), P_mult-{F}(V7,V4,V7), P_mult-{F}(V8,V8,V9), P_rd-{F}(V3,V8,V10), P_mult-{F}(V11,V11,V12), P_rd-{F}(V5,V11,V13), P_mult-{F}(V14,V14,V15), P_rd-{F}(V6,V14,V16), P_mult-{F}(V17,V17,V18), P_rd-{F}(V7,V17,V19), P_mult-{F}(V20,V20,V21), P_mult-{F}(V2,V20,V22), P_mult-{F}(V22,V23,V1), P_mult-{F}(V20,V24,V23) | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #987: mergings( V2 == V3; #985 ), references = 5, size of lhs = 3:
% 88.02/88.27 P_mult-{F}(V0,V0,V1), P_ld-{F}(V0,V0,V2), P_mult-{F}(V0,V2,V0) | P_rd-{T}(V0,V0,V2)
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #1032: mergings( V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10; #1023 ), references = 1, size of lhs = 4:
% 88.02/88.27 P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V1), P_mult-{F}(V2,V2,V3) | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #1035: exists( #6, #1023 ), references = 1, size of lhs = 3:
% 88.02/88.27 P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V1) | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #1038: exists( #11, #1033 ), references = 1, size of lhs = 2:
% 88.02/88.27 P_a-{F}(V0), P_b-{F}(V0) | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #1115: exists( #7, #1098 ), references = 1, size of lhs = 21:
% 88.02/88.27 P_a-{F}(V0), P_b-{F}(V1), P_mult-{F}(V2,V2,V1), P_c-{F}(V3), P_mult-{F}(V2,V3,V4), P_mult-{F}(V0,V5,V1), P_mult-{F}(V5,V5,V6), P_mult-{F}(V6,V7,V1), P_mult-{F}(V5,V7,V3), P_mult-{F}(V8,V8,V1), P_mult-{F}(V0,V8,V1), P_mult-{F}(V8,V3,V9), P_mult-{F}(V3,V3,V10), P_mult-{F}(V3,V11,V3), P_mult-{F}(V10,V11,V9), P_mult-{F}(V12,V12,V13), P_mult-{F}(V12,V2,V14), P_mult-{F}(V14,V4,V15), P_mult-{F}(V16,V12,V17), P_mult-{F}(V17,V15,V18), P_ld-{F}(V16,V18,V19) | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #1117: mergings( V37 == V38; #1113 ), references = 1, size of lhs = 43:
% 88.02/88.27 P_a-{F}(V0), P_mult-{F}(V0,V0,V1), P_b-{F}(V2), P_mult-{F}(V3,V3,V2), P_c-{F}(V4), P_mult-{F}(V3,V4,V5), P_mult-{F}(V0,V6,V2), P_mult-{F}(V6,V6,V7), P_mult-{F}(V7,V8,V2), P_mult-{F}(V6,V8,V4), P_mult-{F}(V0,V3,V9), P_mult-{F}(V9,V5,V10), P_mult-{F}(V11,V11,V1), P_mult-{F}(V12,V12,V13), P_mult-{F}(V14,V15,V14), P_rd-{F}(V14,V12,V16), P_mult-{F}(V17,V15,V17), P_mult-{F}(V18,V15,V18), P_mult-{F}(V15,V19,V10), P_mult-{F}(V15,V20,V4), P_ld-{F}(V11,V21,V19), P_mult-{F}(V22,V4,V21), P_mult-{F}(V23,V11,V24), P_mult-{F}(V24,V22,V25), P_ld-{F}(V23,V25,V26), P_mult-{F}(V27,V27,V28), P_rd-{F}(V17,V27,V29), P_mult-{F}(V30,V30,V31), P_rd-{F}(V18,V30,V32), P_mult-{F}(V33,V33,V34), P_mult-{F}(V35,V35,V36), P_mult-{F}(V35,V37,V20), P_mult-{F}(V36,V37,V38), P_mult-{F}(V39,V35,V1), P_ld-{F}(V39,V26,V40), P_mult-{F}(V41,V40,V41), P_rd-{F}(V41,V33,V42), P_mult-{F}(V43,V0,V44), P_mult-{F}(V44,V10,V45), P_ld-{F}(V43,V45,V26), P_mult-{F}(V46,V46,V47), P_mult-{F}(V47,V48,V38), P_mult-{F}(V46,V48,V49) | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #1119: mergings( V38 == V39; #1114 ), references = 1, size of lhs = 45:
% 88.02/88.27 P_a-{F}(V0), P_mult-{F}(V0,V0,V1), P_b-{F}(V2), P_mult-{F}(V3,V3,V2), P_c-{F}(V4), P_mult-{F}(V3,V4,V5), P_mult-{F}(V2,V2,V6), P_mult-{F}(V0,V7,V2), P_mult-{F}(V7,V7,V8), P_mult-{F}(V8,V9,V2), P_mult-{F}(V7,V9,V4), P_mult-{F}(V0,V3,V10), P_mult-{F}(V10,V5,V11), P_mult-{F}(V12,V12,V12), P_mult-{F}(V13,V12,V13), P_mult-{F}(V14,V12,V14), P_mult-{F}(V15,V12,V15), P_mult-{F}(V16,V16,V1), P_mult-{F}(V12,V17,V4), P_mult-{F}(V12,V18,V11), P_ld-{F}(V16,V19,V18), P_mult-{F}(V20,V4,V19), P_mult-{F}(V21,V21,V22), P_rd-{F}(V13,V21,V23), P_mult-{F}(V24,V16,V25), P_mult-{F}(V25,V20,V26), P_ld-{F}(V24,V26,V27), P_mult-{F}(V28,V28,V29), P_rd-{F}(V14,V28,V30), P_mult-{F}(V31,V31,V32), P_rd-{F}(V15,V31,V33), P_mult-{F}(V34,V34,V35), P_mult-{F}(V36,V36,V37), P_mult-{F}(V36,V38,V17), P_mult-{F}(V37,V38,V39), P_mult-{F}(V40,V36,V1), P_ld-{F}(V40,V27,V41), P_mult-{F}(V42,V41,V42), P_rd-{F}(V42,V34,V43), P_mult-{F}(V44,V0,V45), P_mult-{F}(V45,V11,V46), P_ld-{F}(V44,V46,V27), P_mult-{F}(V47,V47,V48), P_mult-{F}(V48,V49,V39), P_mult-{F}(V47,V49,V50) | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #1130: exists( #6, #940 ), references = 1, size of lhs = 16:
% 88.02/88.27 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_mult-{F}(V3,V3,V3), P_mult-{F}(V0,V3,V0), P_mult-{F}(V3,V1,V1), P_mult-{F}(V4,V3,V4), P_mult-{F}(V5,V3,V5), P_mult-{F}(V6,V3,V6), P_mult-{F}(V1,V1,V7), P_mult-{F}(V8,V8,V9), P_rd-{F}(V4,V8,V10), P_mult-{F}(V11,V11,V12), P_rd-{F}(V5,V11,V13), P_mult-{F}(V14,V14,V15), P_rd-{F}(V6,V14,V16) | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #1132: exists( #6, #1129 ), references = 2, size of lhs = 15:
% 88.02/88.27 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_mult-{F}(V3,V3,V3), P_mult-{F}(V0,V3,V0), P_mult-{F}(V3,V1,V1), P_mult-{F}(V4,V3,V4), P_mult-{F}(V5,V3,V5), P_mult-{F}(V6,V3,V6), P_mult-{F}(V7,V7,V8), P_rd-{F}(V4,V7,V9), P_mult-{F}(V10,V10,V11), P_rd-{F}(V5,V10,V12), P_mult-{F}(V13,V13,V14), P_rd-{F}(V6,V13,V15) | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #1148: mergings( V14 == V15, V15 == V16, V16 == V17, V17 == V18; #1143 ), references = 1, size of lhs = 10:
% 88.02/88.27 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_mult-{F}(V3,V3,V4), P_rd-{F}(V1,V3,V5), P_mult-{F}(V6,V6,V7), P_rd-{F}(V1,V6,V8), P_mult-{F}(V9,V9,V10), P_rd-{F}(V1,V9,V11), P_mult-{F}(V12,V12,V13) | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #1180: mergings( V14 == V15, V15 == V16; #1177 ), references = 2, size of lhs = 10:
% 88.02/88.27 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_mult-{F}(V3,V3,V4), P_rd-{F}(V0,V3,V5), P_mult-{F}(V6,V6,V7), P_rd-{F}(V0,V6,V8), P_mult-{F}(V9,V9,V10), P_rd-{F}(V0,V9,V11), P_mult-{F}(V12,V12,V13) | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #1208: mergings( V11 == V12, V12 == V13; #1205 ), references = 1, size of lhs = 7:
% 88.02/88.27 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_mult-{F}(V3,V3,V4), P_rd-{F}(V5,V3,V6), P_mult-{F}(V7,V7,V8), P_mult-{F}(V9,V9,V10) | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #1211: exists( #6, #1209 ), references = 1, size of lhs = 3:
% 88.02/88.27 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2) | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #1213: exists( #11, #1210 ), references = 1, size of lhs = 2:
% 88.02/88.27 P_a-{F}(V0), P_b-{F}(V1) | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #1215: exists( #10, #1212 ), references = 1, size of lhs = 1:
% 88.02/88.27 P_a-{F}(V0) | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 #1217: exists( #9, #1214 ), references = 1, size of lhs = 0:
% 88.02/88.27 FALSE | FALSE
% 88.02/88.27 (used 0 times, uses = {})
% 88.02/88.27
% 88.02/88.27 number of learnt formulas = 86
% 88.02/88.27
% 88.02/88.27
% 88.02/88.27 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 88.02/88.27
% 88.02/88.27 randbase = 1
%------------------------------------------------------------------------------