TSTP Solution File: GRP710+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP710+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n006.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 06:04:28 EDT 2022
% Result : Theorem 157.83s 158.06s
% Output : Refutation 157.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP710+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 : n006.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 14:03:18 EDT 2022
% 0.13/0.33 % CPUTime :
% 157.83/158.06 GeoParameters:
% 157.83/158.06
% 157.83/158.06 tptp_input = 1
% 157.83/158.06 tptp_output = 0
% 157.83/158.06 nonempty = 1
% 157.83/158.06 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 157.83/158.06 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 157.83/158.06
% 157.83/158.06
% 157.83/158.06 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 157.83/158.06 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 157.83/158.06
% 157.83/158.06 RuleSystem INPUT:
% 157.83/158.06
% 157.83/158.06 Initial Rules:
% 157.83/158.06 #0: input, references = 6, size of lhs = 3:
% 157.83/158.06 P_unit-{F}(V0), P_mult-{F}(V1,V0,V2), V2 == V1 | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #1: input, references = 4, size of lhs = 3:
% 157.83/158.06 P_unit-{F}(V0), P_mult-{F}(V0,V1,V2), V2 == V1 | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #2: input, references = 9, size of lhs = 8:
% 157.83/158.06 P_unit-{F}(V0), P_mult-{F}(V2,V1,V4), P_mult-{F}(V2,V4,V5), P_mult-{F}(V3,V5,V6), P_mult-{F}(V3,V2,V7), P_mult-{F}(V7,V2,V8), P_mult-{F}(V8,V1,V9), V6 == V9 | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #3: input, references = 4, size of lhs = 4:
% 157.83/158.06 P_unit-{F}(V0), P_i-{F}(V1,V2), P_mult-{F}(V1,V2,V3), V3 == V0 | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #4: input, references = 4, size of lhs = 4:
% 157.83/158.06 P_unit-{F}(V0), P_i-{F}(V1,V2), P_mult-{F}(V2,V1,V3), V3 == V0 | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #5: input, references = 4, size of lhs = 1:
% 157.83/158.06 P_unit-{F}(V0) | pppp4-{T}(), pppp5-{T}()
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #6: input, references = 4, size of lhs = 1:
% 157.83/158.06 pppp4-{F}() | EXISTS V0: pppp1-{T}(V0)
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #7: input, references = 4, size of lhs = 1:
% 157.83/158.06 pppp5-{F}() | EXISTS V0: pppp3-{T}(V0)
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #8: input, references = 4, size of lhs = 1:
% 157.83/158.06 pppp3-{F}(V0) | EXISTS V1: pppp2-{T}(V0,V1)
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #9: input, references = 7, size of lhs = 2:
% 157.83/158.06 pppp2-{F}(V0,V1), P_mult-{F}(V2,V1,V0) | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #10: input, references = 5, size of lhs = 1:
% 157.83/158.06 pppp1-{F}(V0) | EXISTS V1: pppp0-{T}(V0,V1)
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #11: input, references = 8, size of lhs = 2:
% 157.83/158.06 pppp0-{F}(V0,V1), P_mult-{F}(V0,V2,V1) | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #12: input, references = 33, size of lhs = 2:
% 157.83/158.06 #-{F} V0, #-{F} V1 | EXISTS V2: P_mult-{T}(V0,V1,V2)
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #13: input, references = 4, size of lhs = 0:
% 157.83/158.06 FALSE | EXISTS V0: P_unit-{T}(V0)
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #14: input, references = 10, size of lhs = 1:
% 157.83/158.06 #-{F} V0 | EXISTS V1: P_i-{T}(V0,V1)
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 number of initial rules = 15
% 157.83/158.06
% 157.83/158.06 Simplifiers:
% 157.83/158.06 #15: unsound, references = 3, size of lhs = 3:
% 157.83/158.06 P_mult-{F}(V0,V1,V2), P_mult-{F}(V0,V1,V5), V2 == V5 | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #16: unsound, references = 3, size of lhs = 3:
% 157.83/158.06 P_unit-{F}(V0), P_unit-{F}(V1), V0 == V1 | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #17: unsound, references = 3, size of lhs = 3:
% 157.83/158.06 P_i-{F}(V0,V1), P_i-{F}(V0,V3), V1 == V3 | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #18: unsound, references = 3, size of lhs = 3:
% 157.83/158.06 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #19: unsound, references = 3, size of lhs = 3:
% 157.83/158.06 pppp0-{F}(V0,V1), pppp0-{F}(V2,V3), V0 == V2 | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #20: unsound, references = 3, size of lhs = 3:
% 157.83/158.06 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #21: unsound, references = 3, size of lhs = 3:
% 157.83/158.06 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #22: unsound, references = 3, size of lhs = 3:
% 157.83/158.06 pppp2-{F}(V0,V1), pppp2-{F}(V2,V3), V0 == V2 | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #23: unsound, references = 3, size of lhs = 3:
% 157.83/158.06 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 number of simplifiers = 9
% 157.83/158.06
% 157.83/158.06 Learnt:
% 157.83/158.06 #26: exists( #12, #3 ), references = 14, size of lhs = 2:
% 157.83/158.06 P_unit-{F}(V0), P_i-{F}(V1,V2) | P_mult-{T}(V1,V2,V0)
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #27: exists( #12, #4 ), references = 8, size of lhs = 2:
% 157.83/158.06 P_unit-{F}(V0), P_i-{F}(V1,V2) | P_mult-{T}(V2,V1,V0)
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #34: mergings( V2 == V0; #31 ), references = 1, size of lhs = 1:
% 157.83/158.06 P_unit-{F}(V0) | P_i-{T}(V0,V0)
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #40: exists( #12, #1 ), references = 27, size of lhs = 2:
% 157.83/158.06 P_unit-{F}(V0), #-{F} V1 | P_mult-{T}(V0,V1,V1)
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #41: exists( #12, #2 ), references = 20, size of lhs = 6:
% 157.83/158.06 P_unit-{F}(V0), P_mult-{F}(V1,V2,V3), P_mult-{F}(V1,V3,V4), P_mult-{F}(V5,V4,V6), P_mult-{F}(V5,V1,V7), P_mult-{F}(V7,V1,V8) | P_mult-{T}(V8,V2,V6)
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #45: exists( #12, #0 ), references = 20, size of lhs = 2:
% 157.83/158.06 P_unit-{F}(V0), #-{F} V1 | P_mult-{T}(V1,V0,V1)
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #49: mergings( V3 == V4; #47 ), references = 23, size of lhs = 5:
% 157.83/158.06 P_unit-{F}(V0), P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V1,V3), P_mult-{F}(V1,V4,V5), P_mult-{F}(V3,V4,V6) | P_mult-{T}(V1,V5,V6)
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #54: exists( #12, #2 ), references = 17, size of lhs = 6:
% 157.83/158.06 P_unit-{F}(V0), P_mult-{F}(V1,V2,V3), P_mult-{F}(V1,V3,V4), P_mult-{F}(V5,V1,V6), P_mult-{F}(V6,V1,V7), P_mult-{F}(V7,V2,V8) | P_mult-{T}(V5,V4,V8)
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #65: mergings( V2 == V3, V3 == V4, V4 == V5; #61 ), references = 2, size of lhs = 9:
% 157.83/158.06 P_unit-{F}(V0), P_mult-{F}(V1,V0,V2), P_mult-{F}(V3,V1,V4), P_mult-{F}(V4,V1,V5), P_mult-{F}(V3,V2,V6), P_mult-{F}(V5,V6,V7), P_mult-{F}(V8,V5,V0), P_mult-{F}(V9,V5,V8), P_mult-{F}(V9,V7,V10) | P_i-{T}(V1,V10)
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #92: mergings( V3 == V4, V4 == V5, V5 == V6, V27 == V29, V28 == V19, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V14 == V15, V17 == V19, V20 == V24, V11 == V12, V12 == V13; #76 ), references = 1, size of lhs = 17:
% 157.83/158.06 P_unit-{F}(V0), P_mult-{F}(V1,V0,V1), P_mult-{F}(V2,V1,V3), P_mult-{F}(V0,V3,V4), P_mult-{F}(V4,V3,V5), P_mult-{F}(V3,V3,V6), pppp2-{F}(V6,V7), P_mult-{F}(V7,V1,V8), P_mult-{F}(V8,V7,V1), P_mult-{F}(V3,V8,V9), P_mult-{F}(V9,V8,V0), P_mult-{F}(V6,V3,V10), P_mult-{F}(V10,V11,V7), P_mult-{F}(V3,V11,V1), P_mult-{F}(V3,V12,V1), P_mult-{F}(V0,V5,V13), P_mult-{F}(V13,V5,V3) | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #110: mergings( V3 == V4; #107 ), references = 8, size of lhs = 5:
% 157.83/158.06 P_unit-{F}(V0), P_mult-{F}(V1,V0,V2), P_mult-{F}(V1,V2,V3), P_mult-{F}(V4,V3,V5), P_mult-{F}(V4,V1,V6) | P_mult-{T}(V6,V1,V5)
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #114: exists( #12, #112 ), references = 1, size of lhs = 5:
% 157.83/158.06 P_unit-{F}(V0), P_mult-{F}(V1,V0,V2), P_mult-{F}(V1,V2,V3), pppp2-{F}(V4,V1), P_mult-{F}(V5,V3,V4) | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #136: mergings( V16 == V26, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V10 == V12, V11 == V13, V7 == V8, V15 == V17, V26 == V14, V8 == V9; #124 ), references = 1, size of lhs = 16:
% 157.83/158.06 P_unit-{F}(V0), P_mult-{F}(V1,V0,V2), P_mult-{F}(V1,V2,V3), P_mult-{F}(V3,V0,V4), P_mult-{F}(V3,V4,V5), P_mult-{F}(V1,V5,V6), P_mult-{F}(V1,V6,V7), P_mult-{F}(V8,V1,V9), P_mult-{F}(V8,V7,V10), P_mult-{F}(V11,V5,V9), P_mult-{F}(V11,V1,V9), P_mult-{F}(V0,V11,V12), P_mult-{F}(V12,V11,V9), P_mult-{F}(V13,V11,V11), P_mult-{F}(V14,V11,V13), P_mult-{F}(V14,V10,V15) | P_mult-{T}(V11,V3,V15)
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #147: mergings( V3 == V4, V4 == V5; #144 ), references = 4, size of lhs = 14:
% 157.83/158.06 P_unit-{F}(V0), P_mult-{F}(V1,V2,V3), P_mult-{F}(V1,V3,V4), P_mult-{F}(V5,V4,V6), P_mult-{F}(V5,V1,V7), P_mult-{F}(V6,V2,V8), P_mult-{F}(V9,V1,V7), P_mult-{F}(V2,V10,V11), P_mult-{F}(V2,V11,V12), P_mult-{F}(V8,V10,V13), P_mult-{F}(V1,V12,V14), P_mult-{F}(V1,V14,V15), P_mult-{F}(V9,V15,V16), V16 == V13 | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #156: mergings( V7 == V11, V3 == V4; #153 ), references = 5, size of lhs = 15:
% 157.83/158.06 P_unit-{F}(V0), P_mult-{F}(V1,V2,V3), P_mult-{F}(V1,V4,V3), P_mult-{F}(V5,V1,V6), P_mult-{F}(V6,V1,V7), P_mult-{F}(V7,V2,V8), P_mult-{F}(V5,V8,V9), P_mult-{F}(V5,V6,V10), P_mult-{F}(V11,V10,V12), P_mult-{F}(V11,V5,V13), P_mult-{F}(V12,V1,V14), P_mult-{F}(V15,V5,V13), P_mult-{F}(V14,V4,V16), P_mult-{F}(V15,V9,V17), V17 == V16 | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #223: mergings( V51 == V54, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17; #207 ), references = 1, size of lhs = 51:
% 157.83/158.06 P_unit-{F}(V0), P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V1,V3), P_mult-{F}(V1,V1,V4), P_mult-{F}(V4,V1,V5), P_mult-{F}(V1,V6,V7), P_mult-{F}(V1,V8,V7), P_mult-{F}(V5,V8,V9), P_mult-{F}(V1,V10,V7), P_mult-{F}(V11,V0,V12), P_mult-{F}(V0,V11,V13), P_mult-{F}(V14,V11,V15), P_mult-{F}(V15,V11,V16), P_mult-{F}(V0,V16,V17), P_mult-{F}(V17,V16,V18), P_mult-{F}(V14,V12,V19), P_mult-{F}(V13,V20,V19), P_mult-{F}(V11,V20,V21), P_mult-{F}(V11,V21,V22), P_mult-{F}(V22,V0,V23), P_mult-{F}(V22,V23,V24), P_mult-{F}(V18,V7,V25), P_mult-{F}(V26,V25,V7), P_mult-{F}(V26,V16,V27), P_mult-{F}(V27,V16,V0), P_mult-{F}(V7,V24,V28), P_mult-{F}(V29,V9,V16), P_mult-{F}(V29,V1,V30), P_mult-{F}(V31,V1,V30), P_mult-{F}(V32,V9,V33), P_mult-{F}(V32,V1,V34), P_mult-{F}(V34,V1,V35), P_mult-{F}(V35,V33,V36), P_mult-{F}(V37,V36,V19), P_mult-{F}(V37,V35,V38), P_mult-{F}(V38,V35,V16), P_mult-{F}(V39,V35,V40), P_mult-{F}(V0,V40,V41), P_mult-{F}(V41,V40,V0), P_mult-{F}(V39,V36,V42), P_mult-{F}(V42,V22,V43), P_mult-{F}(V1,V43,V44), P_mult-{F}(V31,V44,V45), V45 == V28, P_mult-{F}(V46,V1,V47), P_mult-{F}(V47,V1,V48), P_mult-{F}(V48,V10,V49), P_mult-{F}(V46,V49,V50), P_mult-{F}(V51,V50,V35), P_mult-{F}(V51,V46,V52), P_mult-{F}(V52,V46,V40) | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #240: mergings( V49 == V52, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17; #224 ), references = 1, size of lhs = 47:
% 157.83/158.06 P_unit-{F}(V0), P_mult-{F}(V1,V0,V2), P_mult-{F}(V0,V1,V3), P_mult-{F}(V4,V1,V5), P_mult-{F}(V5,V1,V6), P_mult-{F}(V0,V6,V7), P_mult-{F}(V7,V6,V8), P_mult-{F}(V4,V2,V9), P_mult-{F}(V3,V10,V9), P_mult-{F}(V1,V10,V11), P_mult-{F}(V1,V11,V12), P_mult-{F}(V12,V0,V13), P_mult-{F}(V12,V13,V14), P_mult-{F}(V15,V6,V0), P_mult-{F}(V16,V6,V15), P_mult-{F}(V0,V17,V18), P_mult-{F}(V18,V17,V19), P_mult-{F}(V17,V17,V20), P_mult-{F}(V20,V17,V21), P_mult-{F}(V17,V22,V17), P_mult-{F}(V23,V12,V22), P_mult-{F}(V17,V24,V25), P_mult-{F}(V17,V26,V25), P_mult-{F}(V21,V26,V27), P_mult-{F}(V17,V28,V25), P_mult-{F}(V8,V25,V29), P_mult-{F}(V16,V29,V25), P_mult-{F}(V25,V14,V30), P_mult-{F}(V31,V27,V6), P_mult-{F}(V32,V27,V33), P_mult-{F}(V32,V17,V34), P_mult-{F}(V34,V17,V35), P_mult-{F}(V35,V33,V36), P_mult-{F}(V37,V36,V9), P_mult-{F}(V37,V35,V38), P_mult-{F}(V38,V35,V6), P_mult-{F}(V39,V36,V23), P_mult-{F}(V39,V35,V40), P_mult-{F}(V0,V40,V41), P_mult-{F}(V41,V40,V0), P_mult-{F}(V42,V17,V43), P_mult-{F}(V43,V17,V44), P_mult-{F}(V44,V28,V45), P_mult-{F}(V42,V45,V46), P_mult-{F}(V47,V46,V35), P_mult-{F}(V47,V42,V48), P_mult-{F}(V48,V42,V40) | P_mult-{T}(V31,V17,V30)
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #279: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19; #262 ), references = 1, size of lhs = 44:
% 157.83/158.06 P_unit-{F}(V0), P_mult-{F}(V0,V1,V1), P_mult-{F}(V1,V2,V1), P_mult-{F}(V1,V3,V4), P_mult-{F}(V4,V3,V5), P_mult-{F}(V0,V5,V6), P_mult-{F}(V6,V5,V7), P_mult-{F}(V0,V7,V8), P_mult-{F}(V8,V7,V9), P_mult-{F}(V3,V10,V1), P_mult-{F}(V3,V11,V10), P_mult-{F}(V5,V12,V11), P_mult-{F}(V5,V13,V11), P_mult-{F}(V9,V13,V14), P_mult-{F}(V0,V15,V16), P_mult-{F}(V16,V15,V7), P_mult-{F}(V15,V0,V17), P_mult-{F}(V15,V17,V18), P_mult-{F}(V15,V5,V19), P_mult-{F}(V19,V5,V20), P_mult-{F}(V20,V12,V21), P_mult-{F}(V22,V15,V23), P_mult-{F}(V24,V15,V23), P_mult-{F}(V24,V14,V25), pppp2-{F}(V25,V26), P_mult-{F}(V25,V1,V27), P_mult-{F}(V27,V1,V28), P_mult-{F}(V28,V2,V29), P_mult-{F}(V25,V30,V1), P_mult-{F}(V29,V30,V31), P_mult-{F}(V31,V26,V32), P_mult-{F}(V31,V32,V31), P_mult-{F}(V25,V31,V33), P_mult-{F}(V22,V34,V35), P_mult-{F}(V34,V0,V36), P_mult-{F}(V34,V36,V18), P_mult-{F}(V37,V34,V35), P_mult-{F}(V34,V30,V38), P_mult-{F}(V34,V38,V39), P_mult-{F}(V37,V39,V40), P_mult-{F}(V41,V34,V42), P_mult-{F}(V41,V42,V11), P_mult-{F}(V5,V41,V43), P_mult-{F}(V43,V41,V35) | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #297: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19; #280 ), references = 1, size of lhs = 43:
% 157.83/158.06 P_unit-{F}(V0), P_mult-{F}(V0,V1,V1), P_mult-{F}(V1,V2,V1), P_mult-{F}(V1,V3,V4), P_mult-{F}(V4,V3,V5), P_mult-{F}(V0,V5,V6), P_mult-{F}(V6,V5,V7), P_mult-{F}(V0,V7,V8), P_mult-{F}(V8,V7,V9), P_mult-{F}(V3,V10,V1), P_mult-{F}(V3,V11,V10), P_mult-{F}(V5,V12,V11), P_mult-{F}(V5,V13,V11), P_mult-{F}(V9,V13,V14), P_mult-{F}(V0,V15,V16), P_mult-{F}(V16,V15,V7), P_mult-{F}(V15,V0,V17), P_mult-{F}(V15,V17,V18), P_mult-{F}(V15,V5,V19), P_mult-{F}(V19,V5,V20), P_mult-{F}(V20,V12,V21), P_mult-{F}(V22,V15,V23), P_mult-{F}(V24,V15,V23), P_mult-{F}(V24,V14,V25), pppp2-{F}(V25,V26), P_mult-{F}(V25,V1,V27), P_mult-{F}(V27,V1,V28), P_mult-{F}(V28,V2,V29), P_mult-{F}(V25,V30,V1), P_mult-{F}(V29,V30,V31), P_mult-{F}(V31,V26,V32), P_mult-{F}(V31,V32,V31), P_mult-{F}(V22,V33,V34), P_mult-{F}(V33,V0,V35), P_mult-{F}(V33,V35,V18), P_mult-{F}(V36,V33,V34), P_mult-{F}(V33,V30,V37), P_mult-{F}(V33,V37,V38), P_mult-{F}(V36,V38,V39), P_mult-{F}(V40,V33,V41), P_mult-{F}(V40,V41,V11), P_mult-{F}(V5,V40,V42), P_mult-{F}(V42,V40,V34) | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #319: mergings( V3 == V4; #317 ), references = 1, size of lhs = 15:
% 157.83/158.06 P_unit-{F}(V0), P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V1,V3), P_mult-{F}(V3,V4,V5), P_mult-{F}(V6,V5,V7), P_mult-{F}(V6,V1,V8), P_mult-{F}(V7,V4,V9), P_mult-{F}(V10,V1,V8), P_mult-{F}(V4,V11,V12), P_mult-{F}(V4,V12,V13), P_mult-{F}(V9,V11,V14), P_mult-{F}(V1,V13,V15), P_mult-{F}(V1,V15,V16), P_mult-{F}(V10,V16,V17), V17 == V14 | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #347: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #342 ), references = 1, size of lhs = 19:
% 157.83/158.06 P_unit-{F}(V0), P_mult-{F}(V1,V0,V2), P_mult-{F}(V1,V2,V3), P_mult-{F}(V1,V4,V1), P_mult-{F}(V1,V5,V4), pppp2-{F}(V6,V5), P_mult-{F}(V6,V1,V7), P_mult-{F}(V8,V1,V9), P_mult-{F}(V8,V9,V10), P_mult-{F}(V8,V3,V11), P_mult-{F}(V8,V11,V12), P_mult-{F}(V13,V12,V6), P_mult-{F}(V13,V8,V14), P_mult-{F}(V15,V8,V14), P_mult-{F}(V15,V10,V16), P_mult-{F}(V17,V8,V18), P_mult-{F}(V17,V18,V19), P_mult-{F}(V20,V17,V14), P_mult-{F}(V21,V17,V20) | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #353: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #348 ), references = 1, size of lhs = 18:
% 157.83/158.06 P_unit-{F}(V0), P_mult-{F}(V1,V0,V2), P_mult-{F}(V1,V2,V3), P_mult-{F}(V1,V4,V1), P_mult-{F}(V1,V5,V4), pppp2-{F}(V6,V5), P_mult-{F}(V7,V1,V8), P_mult-{F}(V7,V8,V9), P_mult-{F}(V7,V3,V10), P_mult-{F}(V7,V10,V11), P_mult-{F}(V12,V11,V6), P_mult-{F}(V12,V7,V13), P_mult-{F}(V14,V7,V13), P_mult-{F}(V14,V9,V15), P_mult-{F}(V16,V7,V17), P_mult-{F}(V16,V17,V18), P_mult-{F}(V19,V16,V13), P_mult-{F}(V20,V16,V19) | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #362: mergings( V13 == V15, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #355 ), references = 1, size of lhs = 19:
% 157.83/158.06 P_unit-{F}(V0), P_mult-{F}(V1,V0,V2), P_mult-{F}(V1,V3,V2), P_mult-{F}(V1,V4,V1), P_mult-{F}(V1,V5,V4), pppp2-{F}(V6,V5), P_mult-{F}(V7,V1,V8), P_mult-{F}(V7,V8,V9), P_mult-{F}(V8,V1,V10), P_mult-{F}(V10,V3,V11), P_mult-{F}(V7,V11,V12), P_mult-{F}(V13,V12,V6), P_mult-{F}(V13,V7,V14), P_mult-{F}(V15,V7,V14), P_mult-{F}(V15,V9,V16), P_mult-{F}(V17,V7,V18), P_mult-{F}(V17,V18,V19), P_mult-{F}(V20,V17,V14), P_mult-{F}(V21,V17,V20) | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #372: mergings( V15 == V16, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #364 ), references = 1, size of lhs = 14:
% 157.83/158.06 P_unit-{F}(V0), P_mult-{F}(V0,V1,V2), P_mult-{F}(V0,V2,V3), P_mult-{F}(V1,V4,V1), P_mult-{F}(V1,V5,V4), P_mult-{F}(V5,V0,V6), P_mult-{F}(V5,V7,V6), P_mult-{F}(V4,V5,V8), P_mult-{F}(V8,V7,V9), P_mult-{F}(V1,V9,V10), P_mult-{F}(V5,V11,V5), P_mult-{F}(V5,V12,V11), pppp2-{F}(V13,V12), P_mult-{F}(V14,V10,V13) | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #385: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #377 ), references = 1, size of lhs = 6:
% 157.83/158.06 P_unit-{F}(V0), P_mult-{F}(V1,V0,V1), P_mult-{F}(V0,V1,V2), P_mult-{F}(V0,V2,V3), pppp2-{F}(V4,V1), P_mult-{F}(V5,V0,V4) | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #396: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #388 ), references = 2, size of lhs = 3:
% 157.83/158.06 pppp3-{F}(V0), P_unit-{F}(V1), P_mult-{F}(V2,V1,V0) | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #399: exists( #7, #397 ), references = 1, size of lhs = 2:
% 157.83/158.06 pppp5-{F}(), P_unit-{F}(V0) | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #402: mergings( V0 == V1; #400 ), references = 1, size of lhs = 1:
% 157.83/158.06 P_unit-{F}(V0) | pppp4-{T}()
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #411: exists( #12, #409 ), references = 2, size of lhs = 5:
% 157.83/158.06 P_unit-{F}(V0), P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V1,V3), pppp0-{F}(V1,V4), P_mult-{F}(V3,V5,V4) | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #415: mergings( V2 == V3; #413 ), references = 1, size of lhs = 4:
% 157.83/158.06 pppp1-{F}(V0), P_unit-{F}(V1), P_mult-{F}(V1,V0,V2), P_mult-{F}(V2,V0,V1) | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #422: exists( #14, #420 ), references = 1, size of lhs = 2:
% 157.83/158.06 P_unit-{F}(V0), pppp0-{F}(V1,V0) | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #429: mergings( V3 == V4; #427 ), references = 3, size of lhs = 9:
% 157.83/158.06 P_unit-{F}(V0), P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V1,V3), P_mult-{F}(V1,V4,V5), P_mult-{F}(V1,V6,V5), pppp0-{F}(V7,V8), P_mult-{F}(V7,V1,V9), P_mult-{F}(V9,V1,V10), P_mult-{F}(V10,V6,V8) | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #432: mergings( V3 == V4; #430 ), references = 3, size of lhs = 7:
% 157.83/158.06 P_unit-{F}(V0), P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V1,V3), pppp0-{F}(V4,V5), P_mult-{F}(V4,V1,V6), P_mult-{F}(V6,V1,V7), P_mult-{F}(V7,V8,V5) | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #448: mergings( V3 == V4; #446 ), references = 4, size of lhs = 12:
% 157.83/158.06 P_unit-{F}(V0), P_mult-{F}(V1,V0,V2), P_mult-{F}(V1,V3,V2), P_mult-{F}(V4,V1,V5), P_mult-{F}(V5,V1,V6), P_mult-{F}(V6,V3,V7), P_mult-{F}(V4,V7,V8), P_mult-{F}(V4,V5,V9), P_mult-{F}(V10,V9,V11), P_mult-{F}(V10,V4,V12), P_mult-{F}(V13,V4,V12), P_mult-{F}(V13,V8,V14) | P_mult-{T}(V11,V1,V14)
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #479: mergings( V2 == V3, V3 == V4, V4 == V5; #473 ), references = 1, size of lhs = 14:
% 157.83/158.06 P_unit-{F}(V0), P_mult-{F}(V0,V1,V2), P_mult-{F}(V1,V3,V4), P_mult-{F}(V1,V4,V5), P_mult-{F}(V2,V3,V6), P_mult-{F}(V5,V7,V5), P_mult-{F}(V5,V8,V7), P_mult-{F}(V7,V8,V9), P_mult-{F}(V6,V8,V10), P_mult-{F}(V5,V11,V0), P_mult-{F}(V9,V12,V11), P_mult-{F}(V8,V12,V13), P_mult-{F}(V8,V14,V13), P_mult-{F}(V10,V14,V15) | P_i-{T}(V1,V15)
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #503: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #495 ), references = 2, size of lhs = 18:
% 157.83/158.06 P_unit-{F}(V0), P_mult-{F}(V0,V1,V2), P_mult-{F}(V1,V0,V3), P_mult-{F}(V1,V4,V5), P_mult-{F}(V1,V5,V6), P_mult-{F}(V2,V4,V7), P_mult-{F}(V6,V8,V6), P_mult-{F}(V6,V9,V8), P_mult-{F}(V8,V9,V10), P_mult-{F}(V9,V0,V11), P_mult-{F}(V9,V12,V11), P_mult-{F}(V10,V12,V13), P_mult-{F}(V6,V13,V0), P_mult-{F}(V14,V3,V15), P_mult-{F}(V14,V1,V16), P_mult-{F}(V17,V1,V16), P_mult-{F}(V17,V0,V18), pppp0-{F}(V15,V18) | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #510: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #496 ), references = 2, size of lhs = 22:
% 157.83/158.06 P_unit-{F}(V0), P_mult-{F}(V0,V1,V2), P_mult-{F}(V1,V0,V3), P_mult-{F}(V1,V4,V5), P_mult-{F}(V1,V5,V6), P_mult-{F}(V2,V4,V7), P_mult-{F}(V6,V8,V6), P_mult-{F}(V6,V9,V8), P_mult-{F}(V8,V9,V10), P_mult-{F}(V9,V0,V11), P_mult-{F}(V9,V12,V11), P_mult-{F}(V10,V12,V13), P_mult-{F}(V6,V13,V0), P_mult-{F}(V14,V3,V15), P_mult-{F}(V14,V1,V16), P_mult-{F}(V17,V1,V16), P_mult-{F}(V17,V0,V18), pppp0-{F}(V19,V18), P_mult-{F}(V0,V20,V21), P_mult-{F}(V21,V20,V22), P_mult-{F}(V19,V20,V23), P_mult-{F}(V23,V20,V15) | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #517: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #497 ), references = 2, size of lhs = 22:
% 157.83/158.06 P_unit-{F}(V0), P_mult-{F}(V0,V0,V1), P_mult-{F}(V1,V0,V2), P_mult-{F}(V0,V3,V4), P_mult-{F}(V3,V0,V5), P_mult-{F}(V3,V6,V7), P_mult-{F}(V3,V7,V8), P_mult-{F}(V4,V6,V9), P_mult-{F}(V8,V10,V8), P_mult-{F}(V8,V11,V10), P_mult-{F}(V10,V11,V12), P_mult-{F}(V11,V0,V13), P_mult-{F}(V11,V14,V13), P_mult-{F}(V12,V14,V15), P_mult-{F}(V8,V15,V0), P_mult-{F}(V16,V5,V17), P_mult-{F}(V16,V3,V18), P_mult-{F}(V19,V3,V18), P_mult-{F}(V19,V0,V20), pppp0-{F}(V21,V20), P_mult-{F}(V21,V0,V22), P_mult-{F}(V22,V0,V17) | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #531: exists( #12, #524 ), references = 2, size of lhs = 6:
% 157.83/158.06 P_unit-{F}(V0), pppp0-{F}(V1,V2), P_mult-{F}(V1,V3,V4), P_mult-{F}(V4,V3,V5), P_mult-{F}(V5,V6,V2), P_mult-{F}(V3,V6,V7) | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #533: mergings( V3 == V4; #529 ), references = 2, size of lhs = 10:
% 157.83/158.06 P_unit-{F}(V0), P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V1,V3), pppp0-{F}(V4,V5), P_mult-{F}(V4,V1,V6), P_mult-{F}(V6,V1,V7), P_mult-{F}(V7,V8,V9), P_mult-{F}(V9,V8,V10), P_mult-{F}(V10,V11,V5), P_mult-{F}(V8,V11,V12) | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #536: mergings( V3 == V4, V4 == V5; #530 ), references = 2, size of lhs = 10:
% 157.83/158.06 P_unit-{F}(V0), P_mult-{F}(V0,V0,V1), P_mult-{F}(V1,V0,V2), pppp0-{F}(V3,V4), P_mult-{F}(V3,V0,V5), P_mult-{F}(V5,V0,V6), P_mult-{F}(V6,V7,V8), P_mult-{F}(V8,V7,V9), P_mult-{F}(V9,V10,V4), P_mult-{F}(V7,V10,V11) | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #570: mergings( V0 == V3, V5 == V6; #565 ), references = 1, size of lhs = 7:
% 157.83/158.06 P_unit-{F}(V0), P_mult-{F}(V0,V1,V1), P_mult-{F}(V1,V0,V1), P_mult-{F}(V2,V1,V3), P_mult-{F}(V4,V1,V3), P_mult-{F}(V4,V0,V5), pppp0-{F}(V3,V5) | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #573: mergings( V0 == V3, V5 == V6; #566 ), references = 1, size of lhs = 11:
% 157.83/158.06 P_unit-{F}(V0), P_mult-{F}(V0,V1,V1), P_mult-{F}(V1,V0,V1), P_mult-{F}(V2,V1,V3), P_mult-{F}(V4,V1,V3), P_mult-{F}(V4,V0,V5), pppp0-{F}(V6,V5), P_mult-{F}(V0,V7,V8), P_mult-{F}(V8,V7,V9), P_mult-{F}(V6,V7,V10), P_mult-{F}(V10,V7,V3) | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #576: mergings( V0 == V5, V7 == V8; #567 ), references = 1, size of lhs = 11:
% 157.83/158.06 P_unit-{F}(V0), P_mult-{F}(V0,V0,V1), P_mult-{F}(V1,V0,V2), P_mult-{F}(V0,V3,V3), P_mult-{F}(V3,V0,V3), P_mult-{F}(V4,V3,V5), P_mult-{F}(V6,V3,V5), P_mult-{F}(V6,V0,V7), pppp0-{F}(V8,V7), P_mult-{F}(V8,V0,V9), P_mult-{F}(V9,V0,V5) | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #590: mergings( V3 == V4; #586 ), references = 1, size of lhs = 6:
% 157.83/158.06 P_unit-{F}(V0), P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V1,V3), P_mult-{F}(V1,V0,V4), pppp0-{F}(V5,V4), P_mult-{F}(V3,V6,V5) | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #592: mergings( V3 == V4; #587 ), references = 1, size of lhs = 10:
% 157.83/158.06 P_unit-{F}(V0), P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V1,V3), P_mult-{F}(V1,V0,V4), pppp0-{F}(V5,V4), P_mult-{F}(V3,V6,V7), P_mult-{F}(V0,V8,V9), P_mult-{F}(V9,V8,V10), P_mult-{F}(V5,V8,V11), P_mult-{F}(V11,V8,V7) | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #594: mergings( V3 == V4; #588 ), references = 1, size of lhs = 10:
% 157.83/158.06 P_unit-{F}(V0), P_mult-{F}(V0,V0,V1), P_mult-{F}(V1,V0,V2), P_mult-{F}(V0,V3,V4), P_mult-{F}(V4,V3,V5), P_mult-{F}(V3,V0,V6), pppp0-{F}(V7,V6), P_mult-{F}(V7,V0,V8), P_mult-{F}(V8,V0,V9), P_mult-{F}(V5,V10,V9) | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #614: mergings( V3 == V4; #612 ), references = 1, size of lhs = 7:
% 157.83/158.06 P_unit-{F}(V0), P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V1,V3), P_mult-{F}(V0,V3,V4), P_mult-{F}(V4,V3,V5), pppp0-{F}(V1,V6), P_mult-{F}(V5,V7,V6) | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #632: mergings( V3 == V4; #629 ), references = 4, size of lhs = 12:
% 157.83/158.06 P_unit-{F}(V0), P_mult-{F}(V0,V1,V2), P_mult-{F}(V3,V1,V2), P_mult-{F}(V1,V4,V5), P_mult-{F}(V5,V4,V6), P_mult-{F}(V1,V5,V7), P_mult-{F}(V3,V7,V8), P_mult-{F}(V8,V4,V9), P_mult-{F}(V4,V10,V11), P_mult-{F}(V4,V12,V11), P_mult-{F}(V6,V10,V13), P_mult-{F}(V9,V12,V14) | P_mult-{T}(V1,V13,V14)
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #634: mergings( V3 == V4; #630 ), references = 1, size of lhs = 11:
% 157.83/158.06 P_unit-{F}(V0), P_mult-{F}(V0,V1,V2), P_mult-{F}(V3,V1,V2), P_mult-{F}(V1,V4,V5), P_mult-{F}(V1,V5,V6), P_mult-{F}(V3,V6,V7), P_mult-{F}(V7,V4,V8), P_mult-{F}(V4,V9,V10), P_mult-{F}(V4,V10,V11), P_mult-{F}(V8,V9,V12), P_mult-{F}(V1,V11,V13) | P_mult-{T}(V1,V13,V12)
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #694: mergings( V3 == V4; #690 ), references = 1, size of lhs = 12:
% 157.83/158.06 P_unit-{F}(V0), pppp0-{F}(V1,V2), P_mult-{F}(V0,V3,V4), P_mult-{F}(V5,V3,V4), P_mult-{F}(V1,V3,V6), P_mult-{F}(V6,V3,V3), P_mult-{F}(V3,V7,V8), P_mult-{F}(V8,V7,V7), P_mult-{F}(V3,V8,V9), P_mult-{F}(V5,V9,V10), P_mult-{F}(V10,V7,V11), P_mult-{F}(V11,V12,V2) | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #696: mergings( V3 == V4; #691 ), references = 1, size of lhs = 16:
% 157.83/158.06 P_unit-{F}(V0), P_mult-{F}(V0,V1,V2), P_mult-{F}(V2,V1,V3), pppp0-{F}(V4,V5), P_mult-{F}(V4,V1,V6), P_mult-{F}(V6,V1,V7), P_mult-{F}(V0,V8,V9), P_mult-{F}(V10,V8,V9), P_mult-{F}(V7,V8,V11), P_mult-{F}(V11,V8,V8), P_mult-{F}(V8,V12,V13), P_mult-{F}(V13,V12,V12), P_mult-{F}(V8,V13,V14), P_mult-{F}(V10,V14,V15), P_mult-{F}(V15,V12,V16), P_mult-{F}(V16,V17,V5) | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #698: mergings( V3 == V4; #692 ), references = 1, size of lhs = 16:
% 157.83/158.06 P_unit-{F}(V0), P_mult-{F}(V0,V0,V1), P_mult-{F}(V1,V0,V2), pppp0-{F}(V3,V4), P_mult-{F}(V3,V0,V5), P_mult-{F}(V5,V0,V6), P_mult-{F}(V0,V7,V8), P_mult-{F}(V9,V7,V8), P_mult-{F}(V6,V7,V10), P_mult-{F}(V10,V7,V7), P_mult-{F}(V7,V11,V12), P_mult-{F}(V12,V11,V11), P_mult-{F}(V7,V12,V13), P_mult-{F}(V9,V13,V14), P_mult-{F}(V14,V11,V15), P_mult-{F}(V15,V16,V4) | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #716: mergings( V2 == V3, V3 == V4; #711 ), references = 1, size of lhs = 4:
% 157.83/158.06 P_unit-{F}(V0), P_mult-{F}(V0,V1,V1), pppp0-{F}(V1,V2), P_mult-{F}(V0,V3,V2) | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #719: mergings( V2 == V3, V3 == V4; #712 ), references = 1, size of lhs = 8:
% 157.83/158.06 P_unit-{F}(V0), P_mult-{F}(V0,V1,V1), P_mult-{F}(V0,V2,V3), P_mult-{F}(V3,V2,V4), P_mult-{F}(V5,V2,V1), P_mult-{F}(V6,V2,V5), pppp0-{F}(V6,V7), P_mult-{F}(V0,V8,V7) | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #722: mergings( V2 == V3, V3 == V4; #713 ), references = 1, size of lhs = 8:
% 157.83/158.06 P_unit-{F}(V0), P_mult-{F}(V0,V0,V1), P_mult-{F}(V1,V0,V2), P_mult-{F}(V0,V3,V3), P_mult-{F}(V4,V0,V3), P_mult-{F}(V5,V0,V4), pppp0-{F}(V5,V6), P_mult-{F}(V0,V7,V6) | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #731: mergings( V2 == V3, V3 == V4; #726 ), references = 1, size of lhs = 3:
% 157.83/158.06 pppp1-{F}(V0), P_unit-{F}(V1), P_mult-{F}(V1,V0,V0) | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #734: mergings( V2 == V3, V3 == V4; #727 ), references = 1, size of lhs = 7:
% 157.83/158.06 pppp1-{F}(V0), P_unit-{F}(V1), P_mult-{F}(V1,V2,V2), P_mult-{F}(V1,V3,V4), P_mult-{F}(V4,V3,V5), P_mult-{F}(V0,V3,V6), P_mult-{F}(V6,V3,V2) | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #747: mergings( V1 == V2, V2 == V3; #742 ), references = 1, size of lhs = 2:
% 157.83/158.06 pppp4-{F}(), P_unit-{F}(V0) | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 #758: exists( #13, #748 ), references = 1, size of lhs = 0:
% 157.83/158.06 FALSE | FALSE
% 157.83/158.06 (used 0 times, uses = {})
% 157.83/158.06
% 157.83/158.06 number of learnt formulas = 60
% 157.83/158.06
% 157.83/158.06
% 157.83/158.06 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 157.83/158.06
% 157.83/158.06 randbase = 1
%------------------------------------------------------------------------------