TSTP Solution File: GRP655-14 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP655-14 : TPTP v8.1.0. Released v8.1.0.
% 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 06:04:20 EDT 2022
% Result : Unsatisfiable 62.00s 62.18s
% Output : Refutation 62.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP655-14 : TPTP v8.1.0. Released v8.1.0.
% 0.06/0.12 % 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 13:52:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 62.00/62.18 GeoParameters:
% 62.00/62.18
% 62.00/62.18 tptp_input = 1
% 62.00/62.18 tptp_output = 0
% 62.00/62.18 nonempty = 1
% 62.00/62.18 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 62.00/62.18 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 62.00/62.18
% 62.00/62.18
% 62.00/62.18 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 62.00/62.18 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 62.00/62.18
% 62.00/62.18 RuleSystem INPUT:
% 62.00/62.18
% 62.00/62.18 Initial Rules:
% 62.00/62.18 #0: input, references = 4, size of lhs = 3:
% 62.00/62.18 P_ld-{F}(V0,V1,V2), P_mult-{F}(V0,V2,V3), V3 == V1 | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #1: input, references = 14, size of lhs = 3:
% 62.00/62.18 P_mult-{F}(V0,V1,V2), P_ld-{F}(V0,V2,V3), V3 == V1 | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #2: input, references = 4, size of lhs = 3:
% 62.00/62.18 P_rd-{F}(V0,V1,V2), P_mult-{F}(V2,V1,V3), V3 == V0 | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #3: input, references = 12, size of lhs = 3:
% 62.00/62.18 P_mult-{F}(V0,V1,V2), P_rd-{F}(V2,V1,V3), V3 == V0 | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #4: input, references = 8, size of lhs = 7:
% 62.00/62.18 P_mult-{F}(V2,V1,V3), P_mult-{F}(V1,V3,V4), P_mult-{F}(V0,V4,V5), P_mult-{F}(V0,V1,V6), P_mult-{F}(V6,V2,V7), P_mult-{F}(V7,V1,V8), V5 == V8 | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #5: input, references = 8, size of lhs = 4:
% 62.00/62.18 P_x1-{F}(V0), P_ld-{F}(V0,V0,V1), P_x0-{F}(V2), P_mult-{F}(V1,V2,V2) | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #6: input, references = 32, size of lhs = 2:
% 62.00/62.18 #-{F} V0, #-{F} V1 | EXISTS V2: P_mult-{T}(V0,V1,V2)
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #7: input, references = 28, size of lhs = 2:
% 62.00/62.18 #-{F} V0, #-{F} V1 | EXISTS V2: P_ld-{T}(V0,V1,V2)
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #8: input, references = 8, size of lhs = 2:
% 62.00/62.18 #-{F} V0, #-{F} V1 | EXISTS V2: P_rd-{T}(V0,V1,V2)
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #9: input, references = 4, size of lhs = 0:
% 62.00/62.18 FALSE | EXISTS V0: P_x1-{T}(V0)
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #10: input, references = 4, size of lhs = 0:
% 62.00/62.18 FALSE | EXISTS V0: P_x0-{T}(V0)
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 number of initial rules = 11
% 62.00/62.18
% 62.00/62.18 Simplifiers:
% 62.00/62.18 #11: unsound, references = 3, size of lhs = 3:
% 62.00/62.18 P_mult-{F}(V0,V1,V2), P_mult-{F}(V0,V1,V5), V2 == V5 | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #12: unsound, references = 3, size of lhs = 3:
% 62.00/62.18 P_ld-{F}(V0,V1,V2), P_ld-{F}(V0,V1,V5), V2 == V5 | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #13: unsound, references = 3, size of lhs = 3:
% 62.00/62.18 P_rd-{F}(V0,V1,V2), P_rd-{F}(V0,V1,V5), V2 == V5 | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #14: unsound, references = 3, size of lhs = 3:
% 62.00/62.18 P_x1-{F}(V0), P_x1-{F}(V1), V0 == V1 | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #15: unsound, references = 3, size of lhs = 3:
% 62.00/62.18 P_x0-{F}(V0), P_x0-{F}(V1), V0 == V1 | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 number of simplifiers = 5
% 62.00/62.18
% 62.00/62.18 Learnt:
% 62.00/62.18 #17: exists( #6, #0 ), references = 23, size of lhs = 1:
% 62.00/62.18 P_ld-{F}(V0,V1,V2) | P_mult-{T}(V0,V2,V1)
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #19: exists( #6, #2 ), references = 66, size of lhs = 1:
% 62.00/62.18 P_rd-{F}(V0,V1,V2) | P_mult-{T}(V2,V1,V0)
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #21: exists( #7, #1 ), references = 20, size of lhs = 1:
% 62.00/62.18 P_mult-{F}(V0,V1,V2) | P_ld-{T}(V0,V2,V1)
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #27: exists( #6, #4 ), references = 28, size of lhs = 5:
% 62.00/62.18 P_mult-{F}(V0,V1,V2), P_mult-{F}(V1,V2,V3), P_mult-{F}(V4,V3,V5), P_mult-{F}(V4,V1,V6), P_mult-{F}(V6,V0,V7) | P_mult-{T}(V7,V1,V5)
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #34: exists( #8, #32 ), references = 19, size of lhs = 3:
% 62.00/62.18 P_mult-{F}(V0,V1,V0), P_mult-{F}(V2,V0,V1), P_mult-{F}(V3,V2,V4) | P_rd-{T}(V3,V0,V4)
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #49: exists( #8, #3 ), references = 18, size of lhs = 1:
% 62.00/62.18 P_mult-{F}(V0,V1,V2) | P_rd-{T}(V2,V1,V0)
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #64: exists( #6, #4 ), references = 27, size of lhs = 5:
% 62.00/62.18 P_mult-{F}(V0,V1,V2), P_mult-{F}(V1,V2,V3), P_mult-{F}(V4,V1,V5), P_mult-{F}(V5,V0,V6), P_mult-{F}(V6,V1,V7) | P_mult-{T}(V4,V3,V7)
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #71: exists( #6, #69 ), references = 26, size of lhs = 5:
% 62.00/62.18 P_mult-{F}(V0,V1,V2), P_mult-{F}(V3,V1,V4), P_mult-{F}(V4,V0,V5), P_mult-{F}(V5,V1,V6), P_ld-{F}(V3,V6,V7) | P_mult-{T}(V1,V2,V7)
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #87: exists( #6, #85 ), references = 34, size of lhs = 5:
% 62.00/62.18 P_mult-{F}(V0,V1,V2), P_mult-{F}(V1,V2,V3), P_mult-{F}(V4,V3,V5), P_mult-{F}(V4,V1,V6), P_rd-{F}(V5,V1,V7) | P_mult-{T}(V6,V0,V7)
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #142: exists( #8, #136 ), references = 7, size of lhs = 9:
% 62.00/62.18 P_mult-{F}(V0,V1,V2), P_mult-{F}(V1,V0,V3), P_mult-{F}(V0,V3,V4), P_mult-{F}(V5,V4,V6), P_mult-{F}(V6,V1,V7), P_mult-{F}(V5,V0,V8), P_ld-{F}(V8,V7,V9), P_ld-{F}(V1,V9,V10), V10 == V2 | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #143: exists( #8, #137 ), references = 3, size of lhs = 9:
% 62.00/62.18 P_mult-{F}(V0,V1,V2), P_mult-{F}(V1,V0,V3), P_mult-{F}(V0,V3,V4), P_mult-{F}(V5,V4,V6), P_mult-{F}(V6,V1,V7), P_mult-{F}(V5,V0,V8), P_ld-{F}(V8,V7,V9), P_rd-{F}(V9,V2,V10), V10 == V1 | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #144: exists( #8, #138 ), references = 1, size of lhs = 13:
% 62.00/62.18 P_mult-{F}(V0,V1,V2), P_mult-{F}(V1,V0,V3), P_mult-{F}(V0,V3,V4), P_mult-{F}(V5,V4,V6), P_mult-{F}(V6,V1,V7), P_mult-{F}(V5,V0,V8), P_ld-{F}(V8,V7,V9), P_mult-{F}(V2,V9,V10), P_mult-{F}(V11,V10,V12), P_mult-{F}(V11,V2,V13), P_mult-{F}(V13,V1,V14), P_mult-{F}(V14,V2,V15), V12 == V15 | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #190: exists( #8, #188 ), references = 31, size of lhs = 5:
% 62.00/62.18 P_mult-{F}(V0,V1,V2), P_mult-{F}(V3,V2,V4), P_mult-{F}(V3,V0,V5), P_rd-{F}(V4,V0,V6), P_ld-{F}(V5,V6,V7) | P_rd-{T}(V1,V0,V7)
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #200: mergings( V8 == V9; #198 ), references = 2, size of lhs = 14:
% 62.00/62.18 P_rd-{F}(V0,V1,V1), P_mult-{F}(V1,V2,V3), P_mult-{F}(V4,V3,V0), P_mult-{F}(V4,V1,V5), P_mult-{F}(V6,V2,V1), P_mult-{F}(V7,V1,V6), P_mult-{F}(V7,V3,V8), P_rd-{F}(V8,V1,V9), P_rd-{F}(V5,V10,V11), P_mult-{F}(V9,V10,V12), P_ld-{F}(V12,V11,V13), P_mult-{F}(V10,V14,V5), P_mult-{F}(V15,V10,V14), V13 == V15 | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #206: mergings( V1 == V4, V5 == V7, V4 == V8; #202 ), references = 12, size of lhs = 6:
% 62.00/62.18 P_mult-{F}(V0,V1,V0), P_mult-{F}(V2,V1,V0), P_mult-{F}(V0,V2,V3), P_rd-{F}(V3,V0,V0), P_mult-{F}(V4,V0,V3), P_ld-{F}(V2,V0,V5) | P_rd-{T}(V2,V0,V5)
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #217: mergings( V2 == V3, V3 == V4, V4 == V6; #213 ), references = 1, size of lhs = 5:
% 62.00/62.18 P_x1-{F}(V0), P_x0-{F}(V0), P_rd-{F}(V0,V1,V1), P_mult-{F}(V1,V1,V0), P_mult-{F}(V2,V1,V0) | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #236: exists( #7, #234 ), references = 1, size of lhs = 5:
% 62.00/62.18 P_x1-{F}(V0), P_x0-{F}(V0), P_mult-{F}(V0,V0,V1), P_rd-{F}(V1,V0,V0), P_mult-{F}(V2,V0,V1) | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #239: exists( #6, #237 ), references = 1, size of lhs = 2:
% 62.00/62.18 P_x1-{F}(V0), P_x0-{F}(V0) | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #256: exists( #6, #254 ), references = 1, size of lhs = 8:
% 62.00/62.18 P_mult-{F}(V0,V1,V0), P_mult-{F}(V2,V0,V1), P_mult-{F}(V3,V0,V4), V4 == V2, P_mult-{F}(V4,V2,V5), P_mult-{F}(V5,V6,V6), P_mult-{F}(V0,V6,V7), P_mult-{F}(V3,V7,V6) | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #277: mergings( V2 == V3; #273 ), references = 1, size of lhs = 5:
% 62.00/62.18 P_x1-{F}(V0), P_x0-{F}(V1), P_mult-{F}(V0,V0,V1), P_rd-{F}(V1,V0,V0), P_mult-{F}(V2,V0,V1) | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #280: mergings( V2 == V4, V4 == V5; #274 ), references = 1, size of lhs = 4:
% 62.00/62.18 P_mult-{F}(V0,V0,V1), P_rd-{F}(V1,V0,V0), P_mult-{F}(V2,V0,V1), P_ld-{F}(V1,V1,V3) | P_ld-{T}(V0,V0,V3)
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #283: mergings( V2 == V4, V4 == V5; #275 ), references = 1, size of lhs = 4:
% 62.00/62.18 P_mult-{F}(V0,V0,V1), P_rd-{F}(V1,V0,V0), P_mult-{F}(V2,V0,V1), P_rd-{F}(V1,V1,V3) | P_ld-{T}(V0,V0,V3)
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #301: exists( #7, #296 ), references = 2, size of lhs = 9:
% 62.00/62.18 P_mult-{F}(V0,V1,V0), P_mult-{F}(V2,V0,V1), P_mult-{F}(V1,V3,V4), V3 == V4, P_mult-{F}(V3,V0,V5), P_mult-{F}(V5,V6,V2), P_mult-{F}(V6,V0,V7), P_mult-{F}(V7,V1,V8), P_mult-{F}(V1,V8,V7) | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #407: exists( #7, #405 ), references = 1, size of lhs = 13:
% 62.00/62.18 P_mult-{F}(V0,V1,V0), P_mult-{F}(V2,V0,V1), P_mult-{F}(V3,V2,V0), P_mult-{F}(V2,V4,V5), P_mult-{F}(V0,V4,V6), P_mult-{F}(V3,V5,V7), P_rd-{F}(V7,V2,V8), P_mult-{F}(V9,V8,V10), P_mult-{F}(V10,V4,V11), P_mult-{F}(V9,V0,V12), P_ld-{F}(V12,V11,V13), P_ld-{F}(V4,V13,V14), V14 == V6 | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #472: mergings( V7 == V10; #469 ), references = 1, size of lhs = 14:
% 62.00/62.18 P_mult-{F}(V0,V1,V2), P_mult-{F}(V3,V1,V2), P_mult-{F}(V2,V1,V4), P_mult-{F}(V4,V3,V5), P_mult-{F}(V5,V1,V6), P_mult-{F}(V7,V1,V8), P_mult-{F}(V8,V0,V9), P_mult-{F}(V9,V1,V10), P_mult-{F}(V11,V6,V12), P_mult-{F}(V12,V1,V13), P_mult-{F}(V11,V2,V14), P_ld-{F}(V14,V13,V15), P_ld-{F}(V1,V15,V16), V16 == V4 | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #474: mergings( V7 == V10; #470 ), references = 3, size of lhs = 14:
% 62.00/62.18 P_mult-{F}(V0,V1,V2), P_mult-{F}(V3,V1,V2), P_mult-{F}(V2,V1,V4), P_mult-{F}(V4,V3,V5), P_mult-{F}(V5,V1,V6), P_mult-{F}(V7,V1,V8), P_mult-{F}(V8,V0,V9), P_mult-{F}(V9,V1,V10), P_mult-{F}(V11,V6,V12), P_mult-{F}(V12,V1,V13), P_mult-{F}(V11,V2,V14), P_ld-{F}(V14,V13,V15), P_rd-{F}(V15,V4,V16), V16 == V1 | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #483: exists( #6, #479 ), references = 2, size of lhs = 14:
% 62.00/62.18 P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V2,V1), P_mult-{F}(V1,V1,V2), P_mult-{F}(V1,V0,V3), P_mult-{F}(V4,V1,V5), P_mult-{F}(V4,V3,V6), P_rd-{F}(V6,V1,V7), P_mult-{F}(V7,V1,V8), P_ld-{F}(V7,V8,V9), P_ld-{F}(V1,V9,V10), V10 == V0, P_mult-{F}(V11,V1,V12), P_mult-{F}(V12,V0,V13), P_mult-{F}(V13,V1,V14) | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #484: exists( #6, #480 ), references = 2, size of lhs = 14:
% 62.00/62.18 P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V2,V1), P_mult-{F}(V1,V1,V2), P_mult-{F}(V1,V0,V3), P_mult-{F}(V4,V1,V5), P_mult-{F}(V4,V3,V6), P_rd-{F}(V6,V1,V7), P_mult-{F}(V7,V1,V8), P_ld-{F}(V7,V8,V9), P_rd-{F}(V9,V0,V10), V10 == V1, P_mult-{F}(V11,V1,V12), P_mult-{F}(V12,V0,V13), P_mult-{F}(V13,V1,V14) | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #524: exists( #6, #484 ), references = 1, size of lhs = 12:
% 62.00/62.18 P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V2,V1), P_mult-{F}(V1,V1,V2), P_mult-{F}(V1,V0,V3), P_mult-{F}(V4,V1,V5), P_mult-{F}(V5,V0,V6), P_mult-{F}(V6,V3,V7), P_rd-{F}(V7,V1,V8), P_mult-{F}(V8,V1,V9), P_ld-{F}(V8,V9,V10), P_rd-{F}(V10,V0,V11), V11 == V1 | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #573: exists( #7, #571 ), references = 1, size of lhs = 17:
% 62.00/62.18 P_mult-{F}(V0,V1,V1), P_mult-{F}(V2,V1,V3), P_mult-{F}(V4,V1,V5), P_mult-{F}(V5,V2,V6), P_mult-{F}(V6,V1,V7), P_mult-{F}(V7,V3,V8), P_ld-{F}(V7,V8,V9), P_rd-{F}(V9,V0,V10), V10 == V3, P_mult-{F}(V11,V12,V4), P_mult-{F}(V12,V13,V3), P_mult-{F}(V14,V12,V13), P_mult-{F}(V15,V12,V0), P_mult-{F}(V16,V14,V15), P_mult-{F}(V12,V16,V17), P_mult-{F}(V11,V17,V18), P_rd-{F}(V18,V12,V7) | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #582: exists( #6, #580 ), references = 1, size of lhs = 25:
% 62.00/62.18 P_mult-{F}(V0,V1,V0), P_mult-{F}(V2,V0,V2), P_mult-{F}(V3,V0,V1), P_mult-{F}(V4,V3,V3), P_mult-{F}(V0,V4,V5), P_mult-{F}(V4,V5,V4), P_mult-{F}(V6,V2,V4), P_mult-{F}(V0,V7,V8), P_mult-{F}(V9,V8,V10), P_mult-{F}(V9,V0,V11), P_rd-{F}(V10,V0,V12), P_mult-{F}(V11,V2,V13), P_mult-{F}(V14,V3,V11), P_mult-{F}(V15,V7,V14), P_mult-{F}(V16,V3,V15), P_mult-{F}(V17,V2,V16), P_mult-{F}(V17,V7,V18), P_rd-{F}(V18,V2,V11), P_mult-{F}(V19,V2,V12), P_mult-{F}(V13,V20,V19), P_mult-{F}(V20,V2,V21), P_mult-{F}(V21,V0,V22), P_mult-{F}(V0,V22,V23), P_mult-{F}(V24,V2,V21), P_mult-{F}(V23,V24,V6) | P_mult-{T}(V2,V21,V7)
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #588: mergings( V1 == V4; #586 ), references = 1, size of lhs = 30:
% 62.00/62.18 P_mult-{F}(V0,V1,V0), P_mult-{F}(V1,V0,V1), P_mult-{F}(V0,V2,V0), P_mult-{F}(V3,V0,V2), P_mult-{F}(V4,V3,V3), P_mult-{F}(V0,V4,V5), P_mult-{F}(V4,V5,V4), P_mult-{F}(V6,V1,V4), P_mult-{F}(V0,V7,V8), P_mult-{F}(V9,V8,V10), P_mult-{F}(V9,V0,V11), P_mult-{F}(V11,V1,V12), P_mult-{F}(V12,V13,V10), P_mult-{F}(V13,V1,V14), P_mult-{F}(V14,V0,V15), P_mult-{F}(V0,V15,V16), P_mult-{F}(V17,V1,V14), P_mult-{F}(V16,V17,V6), P_mult-{F}(V18,V1,V14), P_mult-{F}(V19,V3,V11), P_mult-{F}(V20,V7,V19), P_mult-{F}(V21,V3,V20), P_mult-{F}(V22,V1,V21), P_mult-{F}(V22,V7,V23), P_rd-{F}(V23,V1,V11), P_mult-{F}(V24,V7,V25), P_mult-{F}(V24,V1,V26), P_mult-{F}(V26,V18,V27), P_rd-{F}(V25,V1,V28), V28 == V27 | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #595: mergings( V6 == V7, V0 == V9, V9 == V10, V12 == V23; #590 ), references = 1, size of lhs = 23:
% 62.00/62.18 P_mult-{F}(V0,V1,V1), P_mult-{F}(V0,V2,V0), P_mult-{F}(V3,V1,V3), P_mult-{F}(V3,V0,V2), P_mult-{F}(V4,V3,V4), P_mult-{F}(V3,V4,V3), P_mult-{F}(V1,V3,V5), P_mult-{F}(V3,V5,V3), P_mult-{F}(V6,V4,V0), P_mult-{F}(V7,V1,V8), P_rd-{F}(V7,V4,V8), P_mult-{F}(V9,V3,V8), P_mult-{F}(V9,V7,V10), P_mult-{F}(V8,V4,V11), P_mult-{F}(V11,V12,V10), P_mult-{F}(V12,V4,V13), P_mult-{F}(V13,V3,V14), P_mult-{F}(V3,V14,V15), P_mult-{F}(V16,V4,V13), P_mult-{F}(V15,V16,V6), P_mult-{F}(V17,V4,V13), P_mult-{F}(V3,V17,V18), V8 == V18 | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #606: mergings( V0 == V6, V5 == V11, V6 == V13, V7 == V13, V10 == V12, V12 == V13, V15 == V19; #598 ), references = 3, size of lhs = 15:
% 62.00/62.18 P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V0,V1), P_mult-{F}(V0,V1,V0), P_mult-{F}(V2,V1,V3), P_mult-{F}(V3,V0,V4), P_mult-{F}(V4,V1,V3), P_mult-{F}(V5,V1,V3), P_mult-{F}(V4,V5,V6), P_mult-{F}(V5,V6,V5), P_mult-{F}(V7,V0,V8), P_rd-{F}(V7,V1,V8), P_mult-{F}(V9,V0,V8), P_mult-{F}(V9,V7,V10), P_mult-{F}(V8,V1,V11), P_mult-{F}(V11,V2,V10) | P_mult-{T}(V0,V4,V8)
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #632: mergings( V2 == V4, V4 == V5; #629 ), references = 1, size of lhs = 5:
% 62.00/62.18 P_mult-{F}(V0,V0,V1), P_rd-{F}(V1,V0,V0), P_mult-{F}(V2,V0,V1), P_mult-{F}(V3,V1,V0), P_mult-{F}(V3,V0,V4) | P_ld-{T}(V0,V0,V4)
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #658: mergings( V1 == V3, V4 == V5, V5 == V6; #654 ), references = 2, size of lhs = 15:
% 62.00/62.18 P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V0,V2), P_mult-{F}(V3,V0,V4), P_ld-{F}(V1,V4,V5), P_mult-{F}(V2,V6,V3), P_mult-{F}(V6,V6,V7), P_mult-{F}(V6,V7,V6), P_rd-{F}(V5,V6,V8), P_mult-{F}(V8,V6,V9), P_ld-{F}(V8,V9,V10), P_ld-{F}(V6,V10,V11), V11 == V0, P_mult-{F}(V12,V6,V13), P_mult-{F}(V13,V0,V14), P_mult-{F}(V14,V6,V15) | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #756: exists( #6, #752 ), references = 2, size of lhs = 11:
% 62.00/62.18 P_mult-{F}(V0,V1,V0), P_mult-{F}(V2,V0,V1), P_mult-{F}(V3,V0,V2), P_mult-{F}(V0,V4,V5), P_mult-{F}(V3,V5,V6), P_mult-{F}(V7,V2,V8), P_mult-{F}(V8,V4,V9), P_mult-{F}(V9,V2,V10), P_ld-{F}(V7,V10,V11), P_mult-{F}(V11,V0,V12), V6 == V12 | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #758: exists( #6, #755 ), references = 2, size of lhs = 9:
% 62.00/62.18 P_mult-{F}(V0,V1,V0), P_mult-{F}(V2,V0,V1), P_mult-{F}(V3,V0,V2), P_mult-{F}(V0,V4,V5), P_mult-{F}(V6,V2,V7), P_mult-{F}(V7,V4,V8), P_mult-{F}(V8,V2,V9), P_ld-{F}(V6,V9,V10), P_mult-{F}(V10,V0,V11) | P_mult-{T}(V3,V5,V11)
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #765: mergings( V0 == V3, V5 == V7; #762 ), references = 3, size of lhs = 8:
% 62.00/62.18 P_mult-{F}(V0,V1,V1), P_rd-{F}(V1,V1,V2), P_mult-{F}(V2,V3,V1), P_rd-{F}(V4,V1,V1), P_rd-{F}(V4,V3,V1), P_mult-{F}(V5,V1,V4), P_mult-{F}(V3,V6,V4), P_mult-{F}(V7,V3,V6) | P_ld-{T}(V1,V1,V7)
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #791: mergings( V1 == V3, V4 == V5, V5 == V6; #787 ), references = 4, size of lhs = 3:
% 62.00/62.18 P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V1,V2), P_mult-{F}(V1,V2,V1) | P_mult-{T}(V1,V0,V1)
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #873: exists( #7, #867 ), references = 1, size of lhs = 18:
% 62.00/62.18 P_mult-{F}(V0,V1,V0), P_mult-{F}(V2,V0,V1), P_mult-{F}(V2,V3,V4), P_mult-{F}(V5,V3,V0), P_mult-{F}(V6,V4,V7), P_mult-{F}(V6,V2,V8), P_rd-{F}(V7,V2,V9), P_mult-{F}(V8,V3,V10), P_mult-{F}(V10,V5,V11), P_mult-{F}(V3,V12,V8), P_mult-{F}(V12,V9,V9), P_mult-{F}(V12,V2,V13), P_mult-{F}(V8,V13,V14), P_mult-{F}(V2,V15,V11), P_mult-{F}(V16,V2,V15), P_mult-{F}(V17,V13,V16), P_mult-{F}(V14,V17,V18), P_mult-{F}(V18,V13,V9) | P_ld-{T}(V8,V9,V11)
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #914: mergings( V13 == V16; #912 ), references = 1, size of lhs = 13:
% 62.00/62.18 P_mult-{F}(V0,V1,V0), P_mult-{F}(V2,V0,V3), P_mult-{F}(V3,V1,V4), P_mult-{F}(V1,V4,V3), P_mult-{F}(V5,V0,V6), P_mult-{F}(V6,V2,V7), P_mult-{F}(V7,V0,V8), P_ld-{F}(V8,V5,V9), P_mult-{F}(V10,V11,V1), P_mult-{F}(V9,V11,V12), P_mult-{F}(V11,V12,V13), P_mult-{F}(V10,V13,V14), V14 == V12 | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #919: mergings( V13 == V14; #917 ), references = 1, size of lhs = 14:
% 62.00/62.18 P_mult-{F}(V0,V1,V0), P_mult-{F}(V2,V0,V3), P_mult-{F}(V3,V1,V4), P_mult-{F}(V1,V4,V3), P_mult-{F}(V5,V6,V1), P_mult-{F}(V6,V7,V8), P_mult-{F}(V5,V8,V9), V9 == V7, P_mult-{F}(V10,V8,V11), P_mult-{F}(V10,V6,V12), P_rd-{F}(V11,V6,V13), P_mult-{F}(V13,V0,V14), P_mult-{F}(V14,V2,V15), P_mult-{F}(V15,V0,V12) | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #1020: exists( #6, #1018 ), references = 1, size of lhs = 9:
% 62.00/62.18 P_mult-{F}(V0,V1,V0), P_mult-{F}(V2,V0,V1), P_mult-{F}(V3,V0,V2), P_mult-{F}(V4,V2,V5), P_mult-{F}(V5,V6,V7), P_mult-{F}(V7,V2,V8), P_ld-{F}(V4,V8,V9), P_mult-{F}(V9,V0,V10), P_ld-{F}(V3,V10,V11) | P_mult-{T}(V0,V6,V11)
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #1084: exists( #6, #1079 ), references = 1, size of lhs = 15:
% 62.00/62.18 P_mult-{F}(V0,V0,V1), P_mult-{F}(V2,V3,V2), P_mult-{F}(V2,V2,V3), P_mult-{F}(V1,V2,V4), P_mult-{F}(V2,V4,V5), P_mult-{F}(V6,V2,V7), P_mult-{F}(V7,V0,V8), P_mult-{F}(V8,V2,V9), P_ld-{F}(V6,V9,V10), P_mult-{F}(V10,V2,V11), P_mult-{F}(V11,V4,V12), P_mult-{F}(V12,V2,V13), P_ld-{F}(V5,V13,V14), P_ld-{F}(V2,V14,V15), V15 == V0 | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #1085: exists( #6, #1080 ), references = 1, size of lhs = 15:
% 62.00/62.18 P_mult-{F}(V0,V0,V1), P_mult-{F}(V2,V3,V2), P_mult-{F}(V2,V2,V3), P_mult-{F}(V1,V2,V4), P_mult-{F}(V2,V4,V5), P_mult-{F}(V6,V2,V7), P_mult-{F}(V7,V0,V8), P_mult-{F}(V8,V2,V9), P_ld-{F}(V6,V9,V10), P_mult-{F}(V10,V2,V11), P_mult-{F}(V11,V4,V12), P_mult-{F}(V12,V2,V13), P_ld-{F}(V5,V13,V14), P_rd-{F}(V14,V0,V15), V15 == V2 | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #1141: mergings( V4 == V6, V6 == V7, V7 == V8, V9 == V11, V13 == V1, V20 == V21; #1132 ), references = 2, size of lhs = 15:
% 62.00/62.18 P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V2,V1), V2 == V0, P_mult-{F}(V3,V2,V3), P_rd-{F}(V3,V1,V2), P_mult-{F}(V4,V1,V3), P_mult-{F}(V5,V1,V6), P_rd-{F}(V6,V1,V7), P_mult-{F}(V8,V6,V9), P_ld-{F}(V8,V10,V7), P_mult-{F}(V11,V6,V10), P_mult-{F}(V9,V12,V11), P_mult-{F}(V13,V1,V14), P_rd-{F}(V14,V1,V15), P_mult-{F}(V15,V3,V14) | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #1148: mergings( V4 == V6, V6 == V7, V7 == V8, V9 == V11, V13 == V1, V20 == V21; #1133 ), references = 2, size of lhs = 15:
% 62.00/62.18 P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V2,V1), V2 == V0, P_mult-{F}(V3,V2,V3), P_rd-{F}(V3,V1,V2), P_mult-{F}(V4,V1,V3), P_mult-{F}(V5,V1,V6), P_rd-{F}(V6,V1,V7), P_mult-{F}(V8,V6,V9), P_ld-{F}(V8,V10,V7), P_mult-{F}(V11,V6,V10), P_mult-{F}(V9,V12,V11), P_mult-{F}(V13,V1,V14), P_rd-{F}(V14,V1,V15), P_mult-{F}(V15,V3,V14) | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #1158: mergings( V3 == V4, V4 == V6, V6 == V7, V8 == V10, V10 == V11, V11 == V12, V13 == V15, V17 == V1, V24 == V25; #1134 ), references = 2, size of lhs = 16:
% 62.00/62.18 P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V0,V0), P_mult-{F}(V2,V3,V2), V0 == V3, P_mult-{F}(V4,V3,V4), P_rd-{F}(V4,V2,V3), P_mult-{F}(V5,V2,V4), P_mult-{F}(V6,V2,V7), P_rd-{F}(V7,V2,V8), P_mult-{F}(V9,V7,V10), P_ld-{F}(V9,V11,V8), P_mult-{F}(V12,V7,V11), P_mult-{F}(V10,V13,V12), P_mult-{F}(V14,V2,V15), P_rd-{F}(V15,V2,V16), P_mult-{F}(V16,V4,V15) | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #1189: mergings( V4 == V6, V6 == V7, V7 == V8, V9 == V11, V13 == V14, V25 == V26; #1180 ), references = 1, size of lhs = 25:
% 62.00/62.18 P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V2,V1), V2 == V0, P_mult-{F}(V3,V2,V3), P_rd-{F}(V3,V1,V2), P_mult-{F}(V4,V1,V3), P_mult-{F}(V5,V1,V6), P_rd-{F}(V6,V1,V7), P_mult-{F}(V6,V8,V6), P_mult-{F}(V9,V6,V8), P_mult-{F}(V7,V9,V10), P_mult-{F}(V9,V10,V11), P_mult-{F}(V9,V12,V13), P_mult-{F}(V14,V13,V15), P_mult-{F}(V14,V9,V16), P_rd-{F}(V15,V9,V17), P_mult-{F}(V18,V1,V19), P_rd-{F}(V19,V1,V20), P_mult-{F}(V20,V3,V19), P_mult-{F}(V21,V22,V7), P_mult-{F}(V22,V6,V23), P_mult-{F}(V23,V9,V22), P_mult-{F}(V16,V22,V24), P_mult-{F}(V24,V21,V25), P_mult-{F}(V25,V22,V17) | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #1196: mergings( V4 == V6, V6 == V7, V7 == V8, V9 == V11, V13 == V14, V25 == V26; #1181 ), references = 1, size of lhs = 25:
% 62.00/62.18 P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V2,V1), V2 == V0, P_mult-{F}(V3,V2,V3), P_rd-{F}(V3,V1,V2), P_mult-{F}(V4,V1,V3), P_mult-{F}(V5,V1,V6), P_rd-{F}(V6,V1,V7), P_mult-{F}(V6,V8,V6), P_mult-{F}(V9,V6,V8), P_mult-{F}(V7,V9,V10), P_mult-{F}(V9,V10,V11), P_mult-{F}(V9,V12,V13), P_mult-{F}(V14,V13,V15), P_mult-{F}(V14,V9,V16), P_rd-{F}(V15,V9,V17), P_mult-{F}(V18,V1,V19), P_rd-{F}(V19,V1,V20), P_mult-{F}(V20,V3,V19), P_mult-{F}(V21,V22,V7), P_mult-{F}(V22,V6,V23), P_mult-{F}(V23,V9,V22), P_mult-{F}(V16,V22,V24), P_mult-{F}(V24,V21,V25), P_mult-{F}(V25,V22,V17) | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #1206: mergings( V3 == V4, V4 == V6, V6 == V7, V8 == V10, V10 == V11, V11 == V12, V13 == V15, V17 == V18, V29 == V30; #1182 ), references = 1, size of lhs = 26:
% 62.00/62.18 P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V0,V0), P_mult-{F}(V2,V3,V2), V0 == V3, P_mult-{F}(V4,V3,V4), P_rd-{F}(V4,V2,V3), P_mult-{F}(V5,V2,V4), P_mult-{F}(V6,V2,V7), P_rd-{F}(V7,V2,V8), P_mult-{F}(V7,V9,V7), P_mult-{F}(V10,V7,V9), P_mult-{F}(V8,V10,V11), P_mult-{F}(V10,V11,V12), P_mult-{F}(V10,V13,V14), P_mult-{F}(V15,V14,V16), P_mult-{F}(V15,V10,V17), P_rd-{F}(V16,V10,V18), P_mult-{F}(V19,V2,V20), P_rd-{F}(V20,V2,V21), P_mult-{F}(V21,V4,V20), P_mult-{F}(V22,V23,V8), P_mult-{F}(V23,V7,V24), P_mult-{F}(V24,V10,V23), P_mult-{F}(V17,V23,V25), P_mult-{F}(V25,V22,V26), P_mult-{F}(V26,V23,V18) | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #1286: mergings( V16 == V17; #1284 ), references = 1, size of lhs = 18:
% 62.00/62.18 P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V0,V2), P_mult-{F}(V3,V0,V4), P_ld-{F}(V1,V4,V5), P_mult-{F}(V2,V6,V3), P_rd-{F}(V5,V6,V7), P_mult-{F}(V7,V6,V8), P_ld-{F}(V7,V8,V6), P_mult-{F}(V6,V9,V10), P_mult-{F}(V11,V9,V6), P_mult-{F}(V10,V12,V11), P_mult-{F}(V12,V9,V13), P_mult-{F}(V14,V6,V15), P_rd-{F}(V15,V6,V16), P_ld-{F}(V15,V16,V6), P_mult-{F}(V17,V6,V18), P_mult-{F}(V18,V0,V19), P_mult-{F}(V19,V6,V20) | P_mult-{T}(V9,V13,V0)
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #1409: exists( #6, #1407 ), references = 1, size of lhs = 9:
% 62.00/62.18 P_mult-{F}(V0,V1,V0), P_mult-{F}(V2,V0,V1), P_mult-{F}(V2,V3,V4), P_mult-{F}(V3,V4,V5), P_mult-{F}(V3,V6,V0), P_mult-{F}(V7,V5,V6), P_mult-{F}(V7,V3,V8), P_rd-{F}(V8,V3,V9), P_ld-{F}(V6,V9,V10) | P_mult-{T}(V8,V2,V10)
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #1480: mergings( V8 == V9; #1476 ), references = 2, size of lhs = 14:
% 62.00/62.18 P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V2,V2), P_rd-{F}(V2,V2,V3), V3 == V0, P_mult-{F}(V2,V3,V2), P_mult-{F}(V2,V4,V5), P_mult-{F}(V6,V4,V6), P_mult-{F}(V7,V2,V6), P_mult-{F}(V7,V5,V8), P_rd-{F}(V8,V2,V9), P_mult-{F}(V9,V4,V9), P_mult-{F}(V10,V5,V11), P_mult-{F}(V10,V2,V12), P_rd-{F}(V11,V2,V13) | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #1482: mergings( V8 == V9; #1477 ), references = 2, size of lhs = 14:
% 62.00/62.18 P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V2,V2), P_rd-{F}(V2,V2,V3), V3 == V0, P_mult-{F}(V2,V3,V2), P_mult-{F}(V2,V4,V5), P_mult-{F}(V6,V4,V6), P_mult-{F}(V7,V2,V6), P_mult-{F}(V7,V5,V8), P_rd-{F}(V8,V2,V9), P_mult-{F}(V9,V4,V9), P_mult-{F}(V10,V5,V11), P_mult-{F}(V10,V2,V12), P_rd-{F}(V11,V2,V13) | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #1484: mergings( V9 == V10; #1478 ), references = 1, size of lhs = 15:
% 62.00/62.18 P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V0,V0), P_mult-{F}(V2,V3,V3), P_rd-{F}(V3,V3,V4), V0 == V4, P_mult-{F}(V3,V4,V3), P_mult-{F}(V3,V5,V6), P_mult-{F}(V7,V5,V7), P_mult-{F}(V8,V3,V7), P_mult-{F}(V8,V6,V9), P_rd-{F}(V9,V3,V10), P_mult-{F}(V10,V5,V10), P_mult-{F}(V11,V6,V12), P_mult-{F}(V11,V3,V13), P_rd-{F}(V12,V3,V14) | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #1503: mergings( V3 == V5, V5 == V7, V9 == V10; #1497 ), references = 2, size of lhs = 7:
% 62.00/62.18 P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V1,V2), P_rd-{F}(V2,V1,V1), P_mult-{F}(V3,V1,V2), P_mult-{F}(V4,V1,V2), P_mult-{F}(V5,V1,V6), P_rd-{F}(V6,V1,V7) | P_ld-{T}(V1,V1,V0)
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #1507: mergings( V3 == V5, V5 == V7, V9 == V10; #1498 ), references = 1, size of lhs = 7:
% 62.00/62.18 P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V1,V2), P_rd-{F}(V2,V1,V1), P_mult-{F}(V3,V1,V2), P_mult-{F}(V4,V1,V2), P_mult-{F}(V5,V1,V6), P_rd-{F}(V6,V1,V7) | P_ld-{T}(V1,V1,V0)
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #1511: mergings( V4 == V6, V6 == V8, V10 == V11; #1499 ), references = 1, size of lhs = 8:
% 62.00/62.18 P_mult-{F}(V0,V0,V0), P_mult-{F}(V1,V0,V0), P_mult-{F}(V2,V2,V3), P_rd-{F}(V3,V2,V2), P_mult-{F}(V4,V2,V3), P_mult-{F}(V5,V2,V3), P_mult-{F}(V6,V2,V7), P_rd-{F}(V7,V2,V8) | P_ld-{T}(V2,V2,V0)
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #1515: exists( #6, #1513 ), references = 4, size of lhs = 4:
% 62.00/62.18 P_mult-{F}(V0,V0,V0), P_x1-{F}(V1), P_x0-{F}(V2), P_mult-{F}(V0,V2,V2) | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #1538: exists( #6, #1532 ), references = 1, size of lhs = 7:
% 62.00/62.18 P_mult-{F}(V0,V0,V1), P_ld-{F}(V0,V0,V2), V2 == V1, P_mult-{F}(V0,V3,V3), P_mult-{F}(V4,V3,V3), P_rd-{F}(V3,V3,V5), P_mult-{F}(V5,V3,V3) | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #1540: mergings( V7 == V9; #1536 ), references = 1, size of lhs = 12:
% 62.00/62.18 P_mult-{F}(V0,V0,V1), P_mult-{F}(V2,V0,V1), P_mult-{F}(V0,V2,V3), P_mult-{F}(V0,V4,V4), P_mult-{F}(V5,V4,V4), P_rd-{F}(V4,V4,V6), P_mult-{F}(V6,V4,V4), P_mult-{F}(V7,V0,V8), P_mult-{F}(V8,V2,V9), P_ld-{F}(V8,V9,V10), P_ld-{F}(V2,V10,V11), V11 == V3 | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #1606: exists( #7, #142 ), references = 1, size of lhs = 7:
% 62.00/62.18 P_mult-{F}(V0,V1,V2), P_mult-{F}(V1,V0,V3), P_mult-{F}(V0,V3,V4), P_mult-{F}(V5,V4,V6), P_mult-{F}(V6,V1,V7), P_mult-{F}(V5,V0,V8), P_ld-{F}(V8,V7,V9) | P_ld-{T}(V1,V9,V2)
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #1679: exists( #7, #1673 ), references = 2, size of lhs = 14:
% 62.00/62.18 P_x1-{F}(V0), P_x0-{F}(V1), P_mult-{F}(V2,V1,V1), P_mult-{F}(V3,V2,V4), P_mult-{F}(V2,V3,V5), P_mult-{F}(V3,V5,V6), P_rd-{F}(V7,V3,V2), P_mult-{F}(V6,V7,V8), P_mult-{F}(V9,V4,V10), P_mult-{F}(V9,V3,V11), P_rd-{F}(V10,V3,V12), P_mult-{F}(V13,V6,V11), P_mult-{F}(V13,V8,V14), P_rd-{F}(V14,V6,V12) | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #1680: exists( #7, #1674 ), references = 1, size of lhs = 24:
% 62.00/62.18 P_mult-{F}(V0,V1,V1), P_rd-{F}(V1,V1,V2), P_mult-{F}(V1,V2,V1), P_mult-{F}(V1,V3,V4), P_mult-{F}(V5,V3,V5), P_mult-{F}(V6,V1,V5), P_mult-{F}(V6,V4,V7), P_rd-{F}(V7,V1,V8), P_mult-{F}(V8,V3,V8), P_mult-{F}(V9,V4,V10), P_mult-{F}(V9,V1,V11), P_rd-{F}(V10,V1,V12), P_mult-{F}(V13,V14,V15), P_rd-{F}(V16,V14,V17), V2 == V17, P_mult-{F}(V14,V17,V18), P_mult-{F}(V13,V18,V19), P_rd-{F}(V19,V14,V20), P_mult-{F}(V17,V14,V21), P_mult-{F}(V14,V21,V22), P_mult-{F}(V22,V16,V23), P_mult-{F}(V24,V22,V15), P_mult-{F}(V24,V23,V25), P_rd-{F}(V25,V22,V20) | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #1681: exists( #7, #1675 ), references = 1, size of lhs = 24:
% 62.00/62.18 P_mult-{F}(V0,V1,V1), P_rd-{F}(V1,V1,V2), P_mult-{F}(V1,V2,V1), P_mult-{F}(V1,V3,V4), P_mult-{F}(V5,V3,V5), P_mult-{F}(V6,V1,V5), P_mult-{F}(V6,V4,V7), P_rd-{F}(V7,V1,V8), P_mult-{F}(V8,V3,V8), P_mult-{F}(V9,V4,V10), P_mult-{F}(V9,V1,V11), P_rd-{F}(V10,V1,V12), P_mult-{F}(V13,V14,V15), P_rd-{F}(V16,V14,V17), V2 == V17, P_mult-{F}(V14,V17,V18), P_mult-{F}(V13,V18,V19), P_rd-{F}(V19,V14,V20), P_mult-{F}(V17,V14,V21), P_mult-{F}(V14,V21,V22), P_mult-{F}(V22,V16,V23), P_mult-{F}(V24,V22,V15), P_mult-{F}(V24,V23,V25), P_rd-{F}(V25,V22,V20) | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #1694: exists( #6, #1688 ), references = 1, size of lhs = 18:
% 62.00/62.18 P_x1-{F}(V0), P_x0-{F}(V1), P_mult-{F}(V2,V1,V1), P_mult-{F}(V3,V2,V4), P_mult-{F}(V2,V3,V5), P_mult-{F}(V3,V5,V6), P_rd-{F}(V7,V3,V2), P_mult-{F}(V7,V7,V8), P_mult-{F}(V8,V9,V6), P_mult-{F}(V9,V7,V10), P_mult-{F}(V7,V10,V6), P_mult-{F}(V11,V7,V6), P_rd-{F}(V12,V3,V7), P_mult-{F}(V13,V4,V12), P_mult-{F}(V13,V3,V14), P_mult-{F}(V15,V6,V14), P_mult-{F}(V15,V7,V16), P_mult-{F}(V16,V11,V6) | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #1704: mergings( V3 == V4, V4 == V9, V9 == V8; #1700 ), references = 1, size of lhs = 8:
% 62.00/62.18 P_x1-{F}(V0), P_x0-{F}(V1), P_rd-{F}(V1,V2,V2), P_mult-{F}(V2,V2,V1), P_mult-{F}(V3,V2,V1), P_mult-{F}(V2,V4,V1), P_mult-{F}(V4,V2,V1), P_mult-{F}(V5,V2,V1) | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #1730: exists( #7, #1725 ), references = 1, size of lhs = 13:
% 62.00/62.18 P_x1-{F}(V0), P_x0-{F}(V1), P_mult-{F}(V2,V1,V3), P_mult-{F}(V1,V2,V4), P_mult-{F}(V2,V4,V5), P_rd-{F}(V6,V2,V1), P_mult-{F}(V5,V6,V7), P_mult-{F}(V8,V3,V9), P_mult-{F}(V8,V2,V10), P_rd-{F}(V9,V2,V11), P_mult-{F}(V12,V5,V10), P_mult-{F}(V12,V7,V13), P_rd-{F}(V13,V5,V11) | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #1731: exists( #7, #1724 ), references = 1, size of lhs = 14:
% 62.00/62.18 P_x1-{F}(V0), P_ld-{F}(V0,V0,V1), P_x0-{F}(V2), P_mult-{F}(V3,V1,V4), P_mult-{F}(V2,V3,V5), P_mult-{F}(V3,V5,V6), P_rd-{F}(V7,V3,V2), P_mult-{F}(V6,V7,V8), P_mult-{F}(V9,V4,V10), P_mult-{F}(V9,V3,V11), P_rd-{F}(V10,V3,V12), P_mult-{F}(V13,V6,V11), P_mult-{F}(V13,V8,V14), P_rd-{F}(V14,V6,V12) | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #1732: exists( #7, #1726 ), references = 1, size of lhs = 26:
% 62.00/62.18 P_x1-{F}(V0), P_x0-{F}(V1), P_mult-{F}(V1,V2,V3), P_mult-{F}(V2,V3,V4), P_rd-{F}(V5,V2,V1), P_mult-{F}(V4,V5,V6), P_mult-{F}(V7,V2,V8), P_mult-{F}(V9,V4,V8), P_mult-{F}(V9,V6,V10), P_rd-{F}(V10,V4,V11), P_rd-{F}(V12,V2,V11), P_mult-{F}(V7,V13,V12), P_mult-{F}(V2,V14,V13), P_mult-{F}(V15,V14,V16), P_mult-{F}(V14,V15,V17), P_mult-{F}(V15,V17,V4), P_rd-{F}(V18,V15,V14), P_mult-{F}(V4,V18,V19), P_mult-{F}(V20,V15,V5), P_mult-{F}(V20,V16,V21), P_rd-{F}(V21,V15,V22), P_rd-{F}(V23,V4,V22), P_mult-{F}(V2,V24,V19), P_mult-{F}(V25,V2,V24), P_mult-{F}(V14,V25,V26), P_mult-{F}(V26,V2,V23) | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #1745: exists( #6, #1739 ), references = 1, size of lhs = 17:
% 62.00/62.18 P_x1-{F}(V0), P_x0-{F}(V1), P_mult-{F}(V2,V1,V3), P_mult-{F}(V1,V2,V4), P_mult-{F}(V2,V4,V5), P_rd-{F}(V6,V2,V1), P_mult-{F}(V6,V6,V7), P_mult-{F}(V7,V8,V5), P_mult-{F}(V8,V6,V9), P_mult-{F}(V6,V9,V5), P_mult-{F}(V10,V6,V5), P_rd-{F}(V11,V2,V6), P_mult-{F}(V12,V3,V11), P_mult-{F}(V12,V2,V13), P_mult-{F}(V14,V5,V13), P_mult-{F}(V14,V6,V15), P_mult-{F}(V15,V10,V5) | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #1746: exists( #6, #1740 ), references = 1, size of lhs = 18:
% 62.00/62.18 P_x1-{F}(V0), P_ld-{F}(V0,V0,V1), P_x0-{F}(V2), P_mult-{F}(V3,V1,V4), P_mult-{F}(V2,V3,V5), P_mult-{F}(V3,V5,V6), P_rd-{F}(V7,V3,V2), P_mult-{F}(V7,V7,V8), P_mult-{F}(V8,V9,V6), P_mult-{F}(V9,V7,V10), P_mult-{F}(V7,V10,V6), P_mult-{F}(V11,V7,V6), P_rd-{F}(V12,V3,V7), P_mult-{F}(V13,V4,V12), P_mult-{F}(V13,V3,V14), P_mult-{F}(V15,V6,V14), P_mult-{F}(V15,V7,V16), P_mult-{F}(V16,V11,V6) | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #1747: exists( #6, #1741 ), references = 1, size of lhs = 28:
% 62.00/62.18 P_x1-{F}(V0), P_x0-{F}(V1), P_rd-{F}(V2,V2,V1), P_mult-{F}(V1,V2,V3), P_mult-{F}(V2,V3,V4), P_mult-{F}(V2,V2,V5), P_mult-{F}(V5,V6,V4), P_mult-{F}(V6,V2,V7), P_mult-{F}(V2,V7,V4), P_mult-{F}(V8,V2,V4), P_mult-{F}(V9,V2,V4), P_mult-{F}(V10,V8,V4), P_mult-{F}(V11,V2,V10), P_mult-{F}(V11,V4,V12), P_mult-{F}(V13,V2,V12), P_rd-{F}(V14,V2,V2), P_mult-{F}(V13,V15,V14), P_mult-{F}(V2,V16,V15), P_rd-{F}(V2,V17,V16), P_mult-{F}(V17,V16,V18), P_mult-{F}(V16,V17,V19), P_mult-{F}(V17,V19,V4), P_mult-{F}(V20,V17,V2), P_mult-{F}(V20,V18,V21), P_rd-{F}(V21,V17,V22), P_mult-{F}(V16,V9,V23), P_mult-{F}(V23,V2,V24), P_rd-{F}(V24,V4,V22) | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #1766: exists( #7, #142 ), references = 1, size of lhs = 7:
% 62.00/62.18 P_mult-{F}(V0,V1,V2), P_mult-{F}(V1,V0,V3), P_mult-{F}(V0,V3,V4), P_mult-{F}(V5,V4,V6), P_mult-{F}(V6,V1,V7), P_mult-{F}(V5,V0,V8), P_ld-{F}(V8,V7,V9) | P_ld-{T}(V1,V9,V2)
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #1801: exists( #6, #1796 ), references = 2, size of lhs = 3:
% 62.00/62.18 P_x1-{F}(V0), P_x0-{F}(V1), P_mult-{F}(V2,V2,V2) | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #1825: exists( #7, #1823 ), references = 1, size of lhs = 13:
% 62.00/62.18 P_x1-{F}(V0), P_x0-{F}(V1), P_mult-{F}(V2,V3,V4), P_rd-{F}(V5,V3,V6), P_mult-{F}(V3,V6,V7), P_mult-{F}(V2,V7,V8), P_rd-{F}(V8,V3,V9), P_mult-{F}(V6,V3,V10), P_mult-{F}(V3,V10,V11), P_mult-{F}(V11,V5,V12), P_mult-{F}(V13,V11,V4), P_mult-{F}(V13,V12,V14), P_rd-{F}(V14,V11,V9) | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #1830: exists( #6, #1828 ), references = 1, size of lhs = 17:
% 62.00/62.18 P_x1-{F}(V0), P_x0-{F}(V1), P_mult-{F}(V2,V2,V3), P_mult-{F}(V4,V2,V5), P_mult-{F}(V2,V5,V6), P_mult-{F}(V3,V4,V6), P_mult-{F}(V7,V2,V6), P_mult-{F}(V8,V7,V6), P_mult-{F}(V9,V2,V8), P_mult-{F}(V9,V6,V10), P_mult-{F}(V11,V12,V10), P_rd-{F}(V2,V12,V13), P_mult-{F}(V12,V13,V14), P_mult-{F}(V11,V14,V15), P_rd-{F}(V15,V12,V2), P_mult-{F}(V13,V12,V16), P_mult-{F}(V12,V16,V6) | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #1841: mergings( V4 == V6, V6 == V9, V9 == V8, V8 == V11; #1836 ), references = 1, size of lhs = 8:
% 62.00/62.18 P_x1-{F}(V0), P_x0-{F}(V1), P_mult-{F}(V2,V2,V3), P_rd-{F}(V3,V2,V2), P_mult-{F}(V4,V2,V3), P_mult-{F}(V5,V2,V3), P_mult-{F}(V6,V2,V3), P_mult-{F}(V2,V6,V3) | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #1844: exists( #6, #1842 ), references = 1, size of lhs = 2:
% 62.00/62.18 P_x1-{F}(V0), P_x0-{F}(V1) | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #1846: exists( #10, #1843 ), references = 1, size of lhs = 1:
% 62.00/62.18 P_x1-{F}(V0) | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 #1848: exists( #9, #1845 ), references = 1, size of lhs = 0:
% 62.00/62.18 FALSE | FALSE
% 62.00/62.18 (used 0 times, uses = {})
% 62.00/62.18
% 62.00/62.18 number of learnt formulas = 83
% 62.00/62.18
% 62.00/62.18
% 62.00/62.18 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 62.00/62.18
% 62.00/62.18 randbase = 1
%------------------------------------------------------------------------------