TSTP Solution File: GRP129-2.004 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP129-2.004 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n020.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 06:03:18 EDT 2022
% Result : Unsatisfiable 4.66s 4.86s
% Output : Refutation 4.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GRP129-2.004 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n020.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 14:34:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 4.66/4.86 GeoParameters:
% 4.66/4.86
% 4.66/4.86 tptp_input = 1
% 4.66/4.86 tptp_output = 0
% 4.66/4.86 nonempty = 1
% 4.66/4.86 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.66/4.86 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 4.66/4.86
% 4.66/4.86
% 4.66/4.86 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.66/4.86 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.66/4.86
% 4.66/4.86 RuleSystem INPUT:
% 4.66/4.86
% 4.66/4.86 Initial Rules:
% 4.66/4.86 #0: input, references = 4, size of lhs = 2:
% 4.66/4.86 P_e_1-{F}(V0), P_e_2-{F}(V1) | next-{T}(V0,V1)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #1: input, references = 5, size of lhs = 3:
% 4.66/4.86 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2) | next-{T}(V1,V2)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #2: input, references = 3, size of lhs = 4:
% 4.66/4.86 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3) | next-{T}(V2,V3)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #3: input, references = 5, size of lhs = 4:
% 4.66/4.86 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3) | greater-{T}(V1,V0)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #4: input, references = 4, size of lhs = 4:
% 4.66/4.86 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3) | greater-{T}(V2,V0)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #5: input, references = 4, size of lhs = 4:
% 4.66/4.86 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3) | greater-{T}(V3,V0)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #6: input, references = 4, size of lhs = 4:
% 4.66/4.86 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3) | greater-{T}(V2,V1)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #7: input, references = 4, size of lhs = 4:
% 4.66/4.86 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3) | greater-{T}(V3,V1)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #8: input, references = 5, size of lhs = 4:
% 4.66/4.86 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3) | greater-{T}(V3,V2)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #9: input, references = 14, size of lhs = 7:
% 4.66/4.86 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), greater-{F}(V4,V5), product-{F}(V6,V0,V4), next-{F}(V6,V5) | FALSE
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #10: input, references = 6, size of lhs = 4:
% 4.66/4.86 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3) | group_element-{T}(V0)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #11: input, references = 4, size of lhs = 4:
% 4.66/4.86 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3) | group_element-{T}(V1)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #12: input, references = 4, size of lhs = 4:
% 4.66/4.86 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3) | group_element-{T}(V2)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #13: input, references = 4, size of lhs = 4:
% 4.66/4.86 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3) | group_element-{T}(V3)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #14: input, references = 21, size of lhs = 5:
% 4.66/4.86 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), equalish-{F}(V0,V1) | FALSE
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #15: input, references = 11, size of lhs = 5:
% 4.66/4.86 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), equalish-{F}(V0,V2) | FALSE
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #16: input, references = 13, size of lhs = 5:
% 4.66/4.86 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), equalish-{F}(V0,V3) | FALSE
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #17: input, references = 7, size of lhs = 5:
% 4.66/4.86 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), equalish-{F}(V1,V0) | FALSE
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #18: input, references = 5, size of lhs = 5:
% 4.66/4.86 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), equalish-{F}(V1,V2) | FALSE
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #19: input, references = 7, size of lhs = 5:
% 4.66/4.86 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), equalish-{F}(V1,V3) | FALSE
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #20: input, references = 3, size of lhs = 5:
% 4.66/4.86 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), equalish-{F}(V2,V0) | FALSE
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #21: input, references = 4, size of lhs = 5:
% 4.66/4.86 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), equalish-{F}(V2,V1) | FALSE
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #22: input, references = 4, size of lhs = 5:
% 4.66/4.86 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), equalish-{F}(V2,V3) | FALSE
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #23: input, references = 3, size of lhs = 5:
% 4.66/4.86 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), equalish-{F}(V3,V0) | FALSE
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #24: input, references = 5, size of lhs = 5:
% 4.66/4.86 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), equalish-{F}(V3,V1) | FALSE
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #25: input, references = 7, size of lhs = 5:
% 4.66/4.86 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), equalish-{F}(V3,V2) | FALSE
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #26: input, references = 27, size of lhs = 6:
% 4.66/4.86 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), group_element-{F}(V4), group_element-{F}(V5) | product-{T}(V5,V4,V0), product-{T}(V5,V4,V1), product-{T}(V5,V4,V2), product-{T}(V5,V4,V3)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #27: input, references = 7, size of lhs = 6:
% 4.66/4.86 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), product-{F}(V7,V6,V4), product-{F}(V7,V6,V5) | equalish-{T}(V4,V5)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #28: input, references = 25, size of lhs = 6:
% 4.66/4.86 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), product-{F}(V7,V4,V6), product-{F}(V7,V5,V6) | equalish-{T}(V4,V5)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #29: input, references = 31, size of lhs = 6:
% 4.66/4.86 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), product-{F}(V4,V6,V7), product-{F}(V5,V6,V7) | equalish-{T}(V4,V5)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #30: input, references = 39, size of lhs = 6:
% 4.66/4.86 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), product-{F}(V4,V7,V5), product-{F}(V7,V5,V6) | product-{T}(V5,V4,V6)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #31: input, references = 4, size of lhs = 0:
% 4.66/4.86 FALSE | EXISTS V0: P_e_1-{T}(V0)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #32: input, references = 4, size of lhs = 0:
% 4.66/4.86 FALSE | EXISTS V0: P_e_2-{T}(V0)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #33: input, references = 5, size of lhs = 0:
% 4.66/4.86 FALSE | EXISTS V0: P_e_3-{T}(V0)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #34: input, references = 6, size of lhs = 0:
% 4.66/4.86 FALSE | EXISTS V0: P_e_4-{T}(V0)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 number of initial rules = 35
% 4.66/4.86
% 4.66/4.86 Simplifiers:
% 4.66/4.86 #35: unsound, references = 3, size of lhs = 3:
% 4.66/4.86 P_e_1-{F}(V0), P_e_1-{F}(V1), V0 == V1 | FALSE
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #36: unsound, references = 3, size of lhs = 3:
% 4.66/4.86 P_e_2-{F}(V0), P_e_2-{F}(V1), V0 == V1 | FALSE
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #37: unsound, references = 3, size of lhs = 3:
% 4.66/4.86 P_e_3-{F}(V0), P_e_3-{F}(V1), V0 == V1 | FALSE
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #38: unsound, references = 3, size of lhs = 3:
% 4.66/4.86 P_e_4-{F}(V0), P_e_4-{F}(V1), V0 == V1 | FALSE
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 number of simplifiers = 4
% 4.66/4.86
% 4.66/4.86 Learnt:
% 4.66/4.86 #50: mergings( V0 == V4, V1 == V6, V6 == V10, V10 == V14, V2 == V7, V7 == V11, V11 == V15, V3 == V8, V8 == V12, V12 == V16; #39 ), references = 2, size of lhs = 12:
% 4.66/4.86 group_element-{F}(V0), P_e_1-{F}(V0), group_element-{F}(V1), greater-{F}(V0,V2), next-{F}(V1,V2), next-{F}(V1,V3), P_e_2-{F}(V4), greater-{F}(V4,V3), P_e_3-{F}(V5), P_e_4-{F}(V6), greater-{F}(V5,V7), next-{F}(V1,V7) | product-{T}(V1,V0,V6)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #72: mergings( V1 == V3, V3 == V8, V8 == V9, V4 == V6, V6 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V16, V2 == V5, V5 == V7, V7 == V16, V16 == V11, V11 == V13, V13 == V15, V15 == V17; #55 ), references = 1, size of lhs = 4:
% 4.66/4.86 P_e_1-{F}(V0), next-{F}(V0,V0), P_e_2-{F}(V0), P_e_3-{F}(V0) | FALSE
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #98: mergings( V1 == V3, V3 == V5, V5 == V10, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V2 == V7, V7 == V9, V9 == V11, V11 == V13; #86 ), references = 1, size of lhs = 5:
% 4.66/4.86 P_e_1-{F}(V0), next-{F}(V0,V0), P_e_2-{F}(V0), next-{F}(V0,V1), P_e_3-{F}(V1) | FALSE
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #109: mergings( V1 == V2, V2 == V3, V3 == V5, V5 == V8, V4 == V6, V6 == V7, V7 == V8, V8 == V9; #100 ), references = 1, size of lhs = 3:
% 4.66/4.86 P_e_1-{F}(V0), next-{F}(V0,V0), P_e_2-{F}(V0) | FALSE
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #122: mergings( V0 == V4, V1 == V6, V6 == V10, V10 == V14, V2 == V7, V7 == V11, V11 == V15, V3 == V8, V8 == V12, V12 == V16; #111 ), references = 1, size of lhs = 12:
% 4.66/4.86 group_element-{F}(V0), P_e_1-{F}(V0), group_element-{F}(V1), next-{F}(V1,V2), next-{F}(V1,V3), P_e_2-{F}(V4), greater-{F}(V4,V2), P_e_3-{F}(V5), greater-{F}(V5,V3), P_e_4-{F}(V6), greater-{F}(V6,V7), next-{F}(V1,V7) | product-{T}(V1,V0,V0)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #164: mergings( V0 == V5, V5 == V6, V6 == V10, V10 == V14, V14 == V18, V1 == V7, V7 == V11, V11 == V15, V15 == V19, V19 == V22, V2 == V8, V8 == V12, V12 == V16, V16 == V20, V20 == V23, V3 == V9, V9 == V13, V13 == V17, V17 == V21, V21 == V24; #143 ), references = 1, size of lhs = 9:
% 4.66/4.86 group_element-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V1), product-{F}(V0,V1,V2), P_e_3-{F}(V2), P_e_2-{F}(V3), product-{F}(V3,V0,V4), product-{F}(V4,V1,V0), P_e_4-{F}(V4) | product-{T}(V1,V0,V1), product-{T}(V1,V0,V3)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #194: mergings( V0 == V5, V5 == V6, V6 == V10, V10 == V14, V14 == V18, V18 == V25, V1 == V7, V7 == V11, V11 == V15, V15 == V19, V19 == V22, V22 == V26, V26 == V29, V2 == V8, V8 == V12, V12 == V16, V16 == V20, V20 == V23, V23 == V27, V27 == V30, V3 == V9, V9 == V13, V13 == V17, V17 == V21, V21 == V24, V24 == V28, V28 == V31; #166 ), references = 4, size of lhs = 12:
% 4.66/4.86 group_element-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V1), product-{F}(V0,V1,V2), P_e_3-{F}(V2), P_e_2-{F}(V3), product-{F}(V3,V0,V4), product-{F}(V4,V1,V0), P_e_4-{F}(V4), product-{F}(V0,V1,V5), greater-{F}(V5,V6), next-{F}(V1,V6) | product-{T}(V1,V0,V3)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #242: mergings( V0 == V5, V5 == V9, V9 == V12, V12 == V14, V14 == V15, V15 == V19, V19 == V23, V23 == V27, V27 == V33, V33 == V42, V1 == V6, V6 == V4, V4 == V16, V16 == V20, V20 == V24, V24 == V28, V28 == V34, V34 == V37, V37 == V43, V43 == V46, V2 == V7, V7 == V10, V10 == V13, V13 == V17, V17 == V21, V21 == V25, V25 == V29, V29 == V31, V31 == V35, V35 == V38, V38 == V44, V44 == V47, V8 == V11, V11 == V3, V3 == V18, V18 == V22, V22 == V26, V26 == V30, V30 == V32, V32 == V36, V36 == V39, V39 == V45, V45 == V48; #198 ), references = 1, size of lhs = 13:
% 4.66/4.86 group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V1), product-{F}(V0,V1,V2), P_e_3-{F}(V2), product-{F}(V0,V1,V3), greater-{F}(V3,V4), next-{F}(V1,V4), P_e_4-{F}(V5), product-{F}(V5,V1,V0), greater-{F}(V5,V6), next-{F}(V0,V6) | product-{T}(V0,V0,V1), product-{T}(V0,V0,V0)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #275: mergings( V0 == V6, V6 == V10, V10 == V13, V13 == V17, V17 == V21, V21 == V25, V1 == V4, V4 == V7, V7 == V14, V14 == V18, V18 == V22, V22 == V26, V2 == V8, V8 == V11, V11 == V15, V15 == V19, V19 == V23, V23 == V27, V9 == V12, V12 == V16, V16 == V20, V20 == V24, V24 == V3; #250 ), references = 1, size of lhs = 8:
% 4.66/4.86 group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V2), product-{F}(V1,V2,V2), P_e_3-{F}(V3), P_e_4-{F}(V4), product-{F}(V4,V1,V0) | product-{T}(V1,V0,V0), product-{T}(V1,V0,V3)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #296: mergings( V0 == V6, V6 == V10, V10 == V13, V13 == V17, V1 == V5, V5 == V7, V7 == V14, V2 == V8, V8 == V11, V11 == V15, V15 == V18, V3 == V9, V9 == V12, V12 == V16, V16 == V19; #279 ), references = 1, size of lhs = 8:
% 4.66/4.86 group_element-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), P_e_1-{F}(V2), product-{F}(V2,V0,V2), P_e_3-{F}(V3), P_e_4-{F}(V4), product-{F}(V4,V0,V1) | product-{T}(V1,V0,V3), product-{T}(V1,V0,V4)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #317: mergings( V0 == V4, V4 == V6, V6 == V10, V10 == V13, V13 == V17, V1 == V5, V5 == V7, V7 == V14, V14 == V20, V2 == V8, V8 == V11, V11 == V15, V15 == V18, V18 == V21, V3 == V9, V9 == V12, V12 == V16, V16 == V19, V19 == V22; #297 ), references = 1, size of lhs = 10:
% 4.66/4.86 group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), product-{F}(V3,V0,V1), greater-{F}(V3,V4), next-{F}(V1,V4) | product-{T}(V1,V0,V2)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #336: mergings( V0 == V6, V6 == V10, V10 == V13, V13 == V17, V1 == V7, V7 == V11, V11 == V14, V14 == V18, V2 == V5, V5 == V8, V8 == V15, V3 == V9, V9 == V12, V12 == V16, V16 == V19; #320 ), references = 1, size of lhs = 8:
% 4.66/4.86 group_element-{F}(V0), group_element-{F}(V1), P_e_3-{F}(V1), P_e_1-{F}(V2), product-{F}(V2,V0,V2), P_e_2-{F}(V3), P_e_4-{F}(V4), product-{F}(V4,V0,V3) | product-{T}(V1,V0,V1), product-{T}(V1,V0,V4)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #357: mergings( V0 == V5, V5 == V6, V6 == V10, V10 == V13, V1 == V4, V4 == V7, V7 == V14, V14 == V17, V2 == V8, V8 == V11, V11 == V15, V15 == V18, V3 == V9, V9 == V12, V12 == V16, V16 == V19; #340 ), references = 1, size of lhs = 8:
% 4.66/4.86 group_element-{F}(V0), P_e_2-{F}(V0), product-{F}(V0,V0,V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_1-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3) | product-{T}(V1,V0,V2), product-{T}(V1,V0,V3)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #389: mergings( V0 == V5, V5 == V6, V6 == V10, V10 == V13, V13 == V20, V20 == V24, V24 == V28, V1 == V4, V4 == V7, V7 == V14, V14 == V17, V17 == V21, V21 == V25, V25 == V29, V2 == V8, V8 == V11, V11 == V15, V15 == V18, V18 == V22, V22 == V26, V26 == V30, V3 == V9, V9 == V12, V12 == V16, V16 == V19, V19 == V23, V23 == V27, V27 == V31; #360 ), references = 1, size of lhs = 10:
% 4.66/4.86 group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_2-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_1-{F}(V1), product-{F}(V0,V1,V2), P_e_3-{F}(V2), P_e_4-{F}(V3), product-{F}(V3,V1,V0) | product-{T}(V1,V0,V3)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #453: mergings( V0 == V6, V6 == V8, V8 == V9, V9 == V13, V13 == V16, V16 == V22, V22 == V26, V26 == V30, V30 == V34, V34 == V38, V38 == V42, V42 == V46, V46 == V50, V50 == V54, V5 == V1, V1 == V4, V4 == V10, V10 == V17, V17 == V23, V23 == V27, V27 == V31, V31 == V35, V35 == V39, V39 == V43, V43 == V47, V47 == V51, V2 == V7, V7 == V11, V11 == V14, V14 == V18, V18 == V20, V20 == V24, V24 == V28, V28 == V32, V32 == V36, V36 == V40, V40 == V44, V44 == V48, V48 == V52, V52 == V55, V3 == V12, V12 == V15, V15 == V19, V19 == V21, V21 == V25, V25 == V29, V29 == V33, V33 == V37, V37 == V41, V41 == V45, V45 == V49, V49 == V53, V53 == V56; #398 ), references = 1, size of lhs = 9:
% 4.66/4.86 group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_1-{F}(V1), product-{F}(V0,V1,V2), P_e_3-{F}(V2), P_e_4-{F}(V3), product-{F}(V3,V1,V0) | product-{T}(V0,V0,V1), product-{T}(V0,V0,V3)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #527: mergings( V0 == V4, V4 == V8, V8 == V9, V9 == V13, V13 == V16, V16 == V22, V22 == V26, V26 == V30, V30 == V34, V34 == V38, V38 == V42, V42 == V46, V46 == V50, V50 == V54, V54 == V57, V57 == V61, V61 == V65, V65 == V69, V3 == V5, V5 == V7, V7 == V10, V10 == V17, V17 == V23, V23 == V27, V27 == V31, V31 == V35, V35 == V39, V39 == V43, V43 == V47, V47 == V51, V51 == V58, V58 == V62, V62 == V66, V66 == V70, V1 == V6, V6 == V11, V11 == V14, V14 == V18, V18 == V20, V20 == V24, V24 == V28, V28 == V32, V32 == V36, V36 == V40, V40 == V44, V44 == V48, V48 == V52, V52 == V55, V55 == V59, V59 == V63, V63 == V67, V67 == V71, V2 == V12, V12 == V15, V15 == V19, V19 == V21, V21 == V25, V25 == V29, V29 == V33, V33 == V37, V37 == V41, V41 == V45, V45 == V49, V49 == V53, V53 == V56, V56 == V60, V60 == V64, V64 == V68, V68 == V72; #457 ), references = 3, size of lhs = 10:
% 4.66/4.86 group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_1-{F}(V1), product-{F}(V0,V1,V2), P_e_3-{F}(V2), P_e_4-{F}(V3), product-{F}(V3,V1,V0), product-{F}(V0,V1,V4) | product-{T}(V0,V0,V3)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #633: mergings( V0 == V6, V6 == V10, V10 == V14, V14 == V18, V18 == V20, V20 == V24, V24 == V27, V27 == V31, V31 == V37, V37 == V39, V39 == V43, V43 == V46, V46 == V52, V52 == V56, V56 == V62, V62 == V66, V66 == V70, V70 == V74, V74 == V76, V76 == V82, V82 == V86, V86 == V90, V90 == V4, V4 == V98, V7 == V11, V11 == V15, V15 == V21, V21 == V28, V28 == V33, V33 == V38, V38 == V40, V40 == V47, V47 == V53, V53 == V57, V57 == V60, V60 == V1, V1 == V63, V63 == V67, V67 == V71, V71 == V77, V77 == V83, V83 == V87, V87 == V91, V91 == V94, V94 == V99, V99 == V102, V2 == V8, V8 == V12, V12 == V16, V16 == V22, V22 == V25, V25 == V29, V29 == V32, V32 == V34, V34 == V41, V41 == V44, V44 == V48, V48 == V50, V50 == V54, V54 == V58, V58 == V61, V61 == V64, V64 == V68, V68 == V72, V72 == V75, V75 == V78, V78 == V80, V80 == V84, V84 == V88, V88 == V92, V92 == V95, V95 == V96, V96 == V100, V100 == V103, V3 == V5, V5 == V9, V9 == V13, V13 == V19, V19 == V23, V23 == V26, V26 == V30, V30 == V35, V35 == V42, V42 == V45, V45 == V49, V49 == V51, V51 == V55, V55 == V59, V59 == V65, V65 == V69, V69 == V73, V73 == V79, V79 == V81, V81 == V85, V85 == V89, V89 == V93, V93 == V101, V101 == V104; #534 ), references = 1, size of lhs = 15:
% 4.66/4.86 group_element-{F}(V0), P_e_4-{F}(V0), greater-{F}(V0,V1), group_element-{F}(V2), next-{F}(V2,V1), P_e_2-{F}(V2), group_element-{F}(V3), product-{F}(V3,V3,V3), P_e_1-{F}(V3), product-{F}(V3,V3,V4), next-{F}(V3,V5), P_e_3-{F}(V6), greater-{F}(V6,V5), greater-{F}(V0,V7), next-{F}(V2,V7) | product-{T}(V0,V3,V6), product-{T}(V0,V3,V0)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #660: mergings( V0 == V6, V6 == V10, V10 == V13, V13 == V17, V17 == V21, V1 == V4, V4 == V7, V7 == V14, V14 == V18, V18 == V22, V2 == V8, V8 == V11, V11 == V15, V15 == V19, V19 == V23, V3 == V9, V9 == V12, V12 == V16, V16 == V20, V20 == V24; #638 ), references = 1, size of lhs = 9:
% 4.66/4.86 group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), product-{F}(V0,V1,V0), P_e_1-{F}(V2), product-{F}(V1,V2,V2), product-{F}(V0,V2,V0), P_e_3-{F}(V3), P_e_4-{F}(V4) | product-{T}(V1,V0,V3), product-{T}(V1,V0,V4)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #695: mergings( V0 == V5, V5 == V6, V6 == V10, V10 == V13, V13 == V17, V17 == V21, V21 == V25, V25 == V29, V1 == V4, V4 == V7, V7 == V14, V14 == V18, V18 == V22, V22 == V26, V26 == V30, V2 == V8, V8 == V11, V11 == V15, V15 == V19, V19 == V23, V23 == V27, V27 == V31, V31 == V33, V3 == V9, V9 == V12, V12 == V16, V16 == V20, V20 == V24, V24 == V28, V28 == V32, V32 == V34; #663 ), references = 1, size of lhs = 8:
% 4.66/4.86 group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), product-{F}(V0,V1,V0), P_e_1-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3) | product-{T}(V1,V0,V3)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #754: mergings( V0 == V5, V5 == V9, V9 == V13, V13 == V17, V17 == V4, V4 == V20, V20 == V24, V24 == V27, V27 == V31, V31 == V37, V37 == V41, V41 == V47, V47 == V51, V6 == V10, V10 == V1, V1 == V21, V21 == V28, V28 == V32, V32 == V38, V38 == V42, V42 == V48, V48 == V52, V2 == V7, V7 == V11, V11 == V14, V14 == V18, V18 == V22, V22 == V25, V25 == V29, V29 == V33, V33 == V35, V35 == V39, V39 == V43, V43 == V45, V45 == V49, V49 == V53, V53 == V55, V3 == V8, V8 == V12, V12 == V15, V15 == V19, V19 == V23, V23 == V26, V26 == V30, V30 == V34, V34 == V36, V36 == V40, V40 == V44, V44 == V46, V46 == V50, V50 == V54, V54 == V56; #701 ), references = 1, size of lhs = 8:
% 4.66/4.86 group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_1-{F}(V1), product-{F}(V1,V1,V2), P_e_3-{F}(V3), P_e_4-{F}(V4) | product-{T}(V0,V1,V3), product-{T}(V0,V1,V4)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #811: mergings( V0 == V3, V3 == V7, V7 == V11, V11 == V15, V15 == V19, V19 == V20, V20 == V24, V24 == V27, V27 == V31, V31 == V37, V37 == V41, V41 == V47, V47 == V51, V4 == V8, V8 == V18, V18 == V21, V21 == V28, V28 == V32, V32 == V38, V38 == V42, V42 == V48, V48 == V52, V52 == V57, V1 == V5, V5 == V9, V9 == V12, V12 == V16, V16 == V22, V22 == V25, V25 == V29, V29 == V33, V33 == V35, V35 == V39, V39 == V43, V43 == V45, V45 == V49, V49 == V53, V53 == V55, V55 == V58, V2 == V6, V6 == V10, V10 == V13, V13 == V17, V17 == V23, V23 == V26, V26 == V30, V30 == V34, V34 == V36, V36 == V40, V40 == V44, V44 == V46, V46 == V50, V50 == V54, V54 == V56, V56 == V59; #755 ), references = 1, size of lhs = 10:
% 4.66/4.86 group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_1-{F}(V1), product-{F}(V1,V1,V2), P_e_3-{F}(V3), P_e_4-{F}(V4), greater-{F}(V4,V5), next-{F}(V0,V5) | product-{T}(V0,V1,V3)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #830: mergings( V0 == V6, V6 == V10, V10 == V13, V13 == V17, V1 == V7, V7 == V11, V11 == V14, V14 == V18, V2 == V5, V5 == V8, V8 == V15, V3 == V9, V9 == V12, V12 == V16, V16 == V19; #814 ), references = 1, size of lhs = 8:
% 4.66/4.86 group_element-{F}(V0), group_element-{F}(V1), P_e_3-{F}(V1), P_e_1-{F}(V2), product-{F}(V2,V0,V2), P_e_2-{F}(V3), P_e_4-{F}(V4), product-{F}(V4,V0,V4) | product-{T}(V1,V0,V3), product-{T}(V1,V0,V1)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #855: mergings( V0 == V6, V6 == V10, V10 == V13, V13 == V17, V17 == V20, V20 == V24, V1 == V7, V7 == V11, V11 == V14, V14 == V18, V18 == V21, V21 == V25, V2 == V5, V5 == V8, V8 == V15, V15 == V22, V3 == V9, V9 == V12, V12 == V16, V16 == V19, V19 == V23, V23 == V26; #832 ), references = 1, size of lhs = 9:
% 4.66/4.86 group_element-{F}(V0), group_element-{F}(V1), P_e_3-{F}(V1), P_e_1-{F}(V2), product-{F}(V2,V0,V2), P_e_2-{F}(V3), product-{F}(V3,V0,V1), P_e_4-{F}(V4), product-{F}(V4,V0,V4) | product-{T}(V1,V0,V3)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #876: mergings( V0 == V5, V5 == V6, V6 == V15, V1 == V7, V7 == V10, V10 == V16, V16 == V19, V2 == V8, V8 == V11, V11 == V17, V17 == V20, V3 == V9, V9 == V12, V12 == V18, V18 == V21; #860 ), references = 1, size of lhs = 12:
% 4.66/4.86 group_element-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V1), product-{F}(V0,V1,V2), greater-{F}(V2,V3), next-{F}(V1,V3), P_e_2-{F}(V4), P_e_3-{F}(V5), P_e_4-{F}(V6), product-{F}(V0,V4,V7), greater-{F}(V7,V8), next-{F}(V4,V8) | product-{T}(V1,V0,V5), product-{T}(V1,V0,V6)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #901: mergings( V0 == V5, V5 == V6, V6 == V15, V15 == V24, V1 == V7, V7 == V10, V10 == V16, V16 == V19, V19 == V25, V25 == V28, V2 == V8, V8 == V11, V11 == V17, V17 == V20, V20 == V26, V26 == V29, V3 == V9, V9 == V12, V12 == V18, V18 == V21, V21 == V27, V27 == V30; #878 ), references = 2, size of lhs = 13:
% 4.66/4.86 group_element-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V1), product-{F}(V0,V1,V2), greater-{F}(V2,V3), next-{F}(V1,V3), P_e_2-{F}(V4), product-{F}(V0,V4,V5), greater-{F}(V5,V6), next-{F}(V4,V6), product-{F}(V4,V0,V7), P_e_4-{F}(V7), P_e_3-{F}(V8) | product-{T}(V1,V0,V8)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #958: mergings( V0 == V5, V5 == V9, V9 == V13, V13 == V17, V17 == V22, V22 == V24, V24 == V25, V25 == V34, V34 == V42, V42 == V48, V48 == V52, V52 == V56, V1 == V6, V6 == V10, V10 == V14, V14 == V18, V18 == V4, V4 == V26, V26 == V29, V29 == V35, V35 == V38, V38 == V43, V43 == V49, V49 == V53, V53 == V57, V2 == V7, V7 == V11, V11 == V15, V15 == V19, V19 == V23, V23 == V27, V27 == V30, V30 == V36, V36 == V39, V39 == V44, V44 == V46, V46 == V50, V50 == V54, V54 == V58, V8 == V12, V12 == V16, V16 == V20, V20 == V3, V3 == V28, V28 == V31, V31 == V37, V37 == V40, V40 == V45, V45 == V47, V47 == V51, V51 == V55, V55 == V59; #905 ), references = 1, size of lhs = 14:
% 4.66/4.86 group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V1), product-{F}(V0,V1,V2), product-{F}(V0,V1,V3), greater-{F}(V3,V4), next-{F}(V1,V4), next-{F}(V0,V5), product-{F}(V0,V1,V6), P_e_3-{F}(V6), product-{F}(V6,V1,V0), P_e_4-{F}(V7), greater-{F}(V7,V5) | product-{T}(V0,V0,V0), product-{T}(V0,V0,V6)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #995: mergings( V0 == V6, V6 == V10, V10 == V13, V13 == V17, V17 == V21, V21 == V25, V1 == V7, V7 == V11, V11 == V14, V14 == V18, V18 == V22, V22 == V26, V8 == V12, V12 == V15, V15 == V19, V19 == V23, V23 == V2, V3 == V5, V5 == V9, V9 == V16, V16 == V20, V20 == V24, V24 == V27; #971 ), references = 1, size of lhs = 8:
% 4.66/4.86 group_element-{F}(V0), group_element-{F}(V1), P_e_4-{F}(V1), P_e_1-{F}(V2), P_e_2-{F}(V3), product-{F}(V3,V0,V3), P_e_3-{F}(V4), product-{F}(V0,V4,V1) | product-{T}(V1,V0,V2), product-{T}(V1,V0,V1)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #1019: mergings( V0 == V6, V6 == V10, V10 == V13, V13 == V17, V17 == V21, V21 == V25, V1 == V7, V7 == V11, V11 == V14, V14 == V18, V18 == V22, V22 == V26, V2 == V8, V8 == V12, V12 == V15, V15 == V19, V19 == V23, V23 == V27, V3 == V5, V5 == V9, V9 == V16, V16 == V20, V20 == V24; #970 ), references = 1, size of lhs = 10:
% 4.66/4.86 group_element-{F}(V0), group_element-{F}(V1), P_e_4-{F}(V1), P_e_1-{F}(V2), P_e_2-{F}(V3), product-{F}(V3,V0,V3), P_e_3-{F}(V4), product-{F}(V0,V4,V5), product-{F}(V6,V4,V1), product-{F}(V2,V6,V5) | product-{T}(V1,V0,V2), product-{T}(V1,V0,V1)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #1044: mergings( V0 == V6, V6 == V10, V10 == V13, V13 == V17, V17 == V21, V21 == V25, V1 == V7, V7 == V11, V11 == V14, V14 == V18, V18 == V22, V22 == V26, V2 == V8, V8 == V12, V12 == V15, V15 == V19, V19 == V23, V23 == V27, V3 == V5, V5 == V9, V9 == V16, V16 == V20, V20 == V24, V24 == V28; #969 ), references = 1, size of lhs = 10:
% 4.66/4.86 group_element-{F}(V0), group_element-{F}(V1), P_e_4-{F}(V1), P_e_1-{F}(V2), P_e_2-{F}(V3), product-{F}(V3,V0,V3), P_e_3-{F}(V4), product-{F}(V3,V4,V1), product-{F}(V0,V4,V5), product-{F}(V1,V2,V5) | product-{T}(V1,V0,V2), product-{T}(V1,V0,V1)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #1079: mergings( V0 == V5, V5 == V9, V9 == V12, V12 == V16, V16 == V20, V20 == V24, V24 == V28, V28 == V32, V1 == V6, V6 == V10, V10 == V13, V13 == V17, V17 == V21, V21 == V25, V25 == V29, V29 == V33, V7 == V11, V11 == V14, V14 == V18, V18 == V22, V22 == V26, V26 == V30, V30 == V34, V2 == V4, V4 == V8, V8 == V15, V15 == V19, V19 == V23, V23 == V27, V27 == V31; #1048 ), references = 1, size of lhs = 9:
% 4.66/4.86 group_element-{F}(V0), group_element-{F}(V1), P_e_4-{F}(V1), P_e_1-{F}(V2), product-{F}(V2,V0,V1), P_e_2-{F}(V3), product-{F}(V3,V0,V3), P_e_3-{F}(V4), product-{F}(V0,V4,V1) | product-{T}(V1,V0,V2)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #1111: mergings( V0 == V5, V5 == V9, V9 == V12, V12 == V16, V16 == V20, V20 == V24, V24 == V28, V28 == V32, V1 == V3, V3 == V6, V6 == V10, V10 == V13, V13 == V17, V17 == V21, V21 == V25, V25 == V29, V7 == V11, V11 == V14, V14 == V18, V18 == V22, V22 == V26, V26 == V30, V30 == V33, V2 == V4, V4 == V8, V8 == V15, V15 == V19, V19 == V23, V23 == V27, V27 == V31, V31 == V34; #1047 ), references = 1, size of lhs = 9:
% 4.66/4.86 group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_2-{F}(V0), group_element-{F}(V1), P_e_4-{F}(V1), P_e_1-{F}(V2), product-{F}(V1,V2,V1), P_e_3-{F}(V3), product-{F}(V0,V3,V1) | product-{T}(V1,V0,V2)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #1181: mergings( V0 == V5, V5 == V6, V6 == V10, V10 == V14, V14 == V18, V18 == V23, V23 == V27, V27 == V30, V30 == V34, V34 == V38, V38 == V42, V42 == V45, V45 == V51, V51 == V55, V55 == V59, V59 == V63, V1 == V7, V7 == V11, V11 == V15, V15 == V19, V19 == V22, V22 == V24, V24 == V28, V28 == V31, V31 == V35, V35 == V39, V39 == V43, V43 == V46, V46 == V49, V49 == V52, V52 == V56, V56 == V60, V60 == V64, V2 == V8, V8 == V12, V12 == V16, V16 == V20, V20 == V25, V25 == V29, V29 == V32, V32 == V36, V36 == V40, V40 == V44, V44 == V47, V47 == V50, V50 == V53, V53 == V57, V57 == V61, V61 == V65, V9 == V13, V13 == V17, V17 == V21, V21 == V3, V3 == V26, V26 == V33, V33 == V37, V37 == V41, V41 == V48, V48 == V54, V54 == V58, V58 == V62; #1119 ), references = 1, size of lhs = 12:
% 4.66/4.86 group_element-{F}(V0), P_e_1-{F}(V0), group_element-{F}(V1), product-{F}(V1,V0,V2), product-{F}(V2,V0,V1), P_e_3-{F}(V2), group_element-{F}(V3), P_e_4-{F}(V3), product-{F}(V3,V0,V3), P_e_2-{F}(V4), product-{F}(V4,V1,V4), product-{F}(V1,V0,V5) | product-{T}(V0,V1,V0), product-{T}(V0,V1,V4)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #1252: mergings( V0 == V3, V3 == V4, V4 == V8, V8 == V12, V12 == V17, V17 == V23, V23 == V27, V27 == V30, V30 == V34, V34 == V38, V38 == V42, V42 == V45, V45 == V51, V51 == V55, V55 == V59, V59 == V63, V63 == V67, V1 == V5, V5 == V9, V9 == V13, V13 == V18, V18 == V21, V21 == V24, V24 == V28, V28 == V31, V31 == V35, V35 == V39, V39 == V43, V43 == V46, V46 == V49, V49 == V52, V52 == V56, V56 == V60, V60 == V64, V64 == V68, V68 == V71, V2 == V6, V6 == V10, V10 == V14, V14 == V19, V19 == V25, V25 == V29, V29 == V32, V32 == V36, V36 == V40, V40 == V44, V44 == V47, V47 == V50, V50 == V53, V53 == V57, V57 == V61, V61 == V65, V65 == V69, V69 == V72, V7 == V11, V11 == V15, V15 == V20, V20 == V22, V22 == V26, V26 == V33, V33 == V37, V37 == V41, V41 == V48, V48 == V54, V54 == V58, V58 == V62, V62 == V70, V70 == V73; #1183 ), references = 1, size of lhs = 12:
% 4.66/4.86 group_element-{F}(V0), P_e_1-{F}(V0), group_element-{F}(V1), product-{F}(V1,V0,V2), product-{F}(V2,V0,V1), P_e_3-{F}(V2), group_element-{F}(V3), product-{F}(V3,V0,V3), P_e_4-{F}(V3), product-{F}(V1,V0,V4), P_e_2-{F}(V5), product-{F}(V5,V1,V5) | product-{T}(V0,V1,V0)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #1386: mergings( V0 == V3, V3 == V7, V7 == V11, V11 == V15, V15 == V21, V21 == V24, V24 == V25, V25 == V34, V34 == V42, V42 == V48, V48 == V52, V52 == V56, V56 == V60, V60 == V62, V62 == V63, V63 == V67, V67 == V71, V71 == V75, V75 == V80, V80 == V84, V84 == V86, V86 == V90, V90 == V94, V94 == V98, V98 == V101, V101 == V107, V107 == V111, V111 == V115, V115 == V119, V119 == V123, V123 == V129, V129 == V133, V4 == V8, V8 == V12, V12 == V16, V16 == V19, V19 == V26, V26 == V29, V29 == V35, V35 == V38, V38 == V43, V43 == V49, V49 == V53, V53 == V57, V57 == V64, V64 == V68, V68 == V72, V72 == V76, V76 == V1, V1 == V81, V81 == V87, V87 == V91, V91 == V95, V95 == V99, V99 == V102, V102 == V105, V105 == V108, V108 == V112, V112 == V116, V116 == V120, V120 == V124, V124 == V130, V2 == V5, V5 == V9, V9 == V13, V13 == V17, V17 == V22, V22 == V27, V27 == V30, V30 == V36, V36 == V39, V39 == V44, V44 == V46, V46 == V50, V50 == V54, V54 == V58, V58 == V61, V61 == V65, V65 == V69, V69 == V73, V73 == V77, V77 == V82, V82 == V85, V85 == V88, V88 == V92, V92 == V96, V96 == V100, V100 == V103, V103 == V106, V106 == V109, V109 == V113, V113 == V117, V117 == V121, V121 == V125, V125 == V127, V127 == V131, V131 == V134, V6 == V10, V10 == V14, V14 == V18, V18 == V23, V23 == V28, V28 == V31, V31 == V37, V37 == V40, V40 == V45, V45 == V47, V47 == V51, V51 == V55, V55 == V59, V59 == V66, V66 == V70, V70 == V74, V74 == V78, V78 == V79, V79 == V83, V83 == V89, V89 == V93, V93 == V97, V97 == V104, V104 == V110, V110 == V114, V114 == V118, V118 == V126, V126 == V128, V128 == V132, V132 == V135; #1257 ), references = 1, size of lhs = 18:
% 4.66/4.86 group_element-{F}(V0), P_e_2-{F}(V0), next-{F}(V0,V1), group_element-{F}(V2), P_e_1-{F}(V2), product-{F}(V2,V2,V2), product-{F}(V0,V2,V3), product-{F}(V0,V2,V4), greater-{F}(V4,V5), next-{F}(V2,V5), product-{F}(V0,V2,V6), product-{F}(V6,V2,V0), P_e_3-{F}(V6), group_element-{F}(V7), greater-{F}(V7,V1), product-{F}(V7,V2,V7), P_e_4-{F}(V7), product-{F}(V0,V2,V8) | product-{T}(V0,V0,V6)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #1514: mergings( V0 == V3, V3 == V7, V7 == V11, V11 == V15, V15 == V21, V21 == V24, V24 == V25, V25 == V34, V34 == V42, V42 == V48, V48 == V52, V52 == V56, V56 == V60, V60 == V62, V62 == V63, V63 == V67, V67 == V71, V71 == V75, V75 == V80, V80 == V84, V84 == V86, V86 == V90, V90 == V94, V94 == V98, V98 == V101, V101 == V107, V107 == V111, V111 == V115, V115 == V119, V119 == V123, V123 == V129, V4 == V8, V8 == V12, V12 == V16, V16 == V19, V19 == V26, V26 == V29, V29 == V35, V35 == V38, V38 == V43, V43 == V49, V49 == V53, V53 == V57, V57 == V64, V64 == V68, V68 == V72, V72 == V76, V76 == V1, V1 == V81, V81 == V87, V87 == V91, V91 == V95, V95 == V99, V99 == V102, V102 == V105, V105 == V108, V108 == V112, V112 == V116, V116 == V120, V120 == V124, V124 == V130, V130 == V133, V2 == V5, V5 == V9, V9 == V13, V13 == V17, V17 == V22, V22 == V27, V27 == V30, V30 == V36, V36 == V39, V39 == V44, V44 == V46, V46 == V50, V50 == V54, V54 == V58, V58 == V61, V61 == V65, V65 == V69, V69 == V73, V73 == V77, V77 == V82, V82 == V85, V85 == V88, V88 == V92, V92 == V96, V96 == V100, V100 == V103, V103 == V106, V106 == V109, V109 == V113, V113 == V117, V117 == V121, V121 == V125, V125 == V127, V127 == V131, V131 == V134, V6 == V10, V10 == V14, V14 == V18, V18 == V23, V23 == V28, V28 == V31, V31 == V37, V37 == V40, V40 == V45, V45 == V47, V47 == V51, V51 == V55, V55 == V59, V59 == V66, V66 == V70, V70 == V74, V74 == V78, V78 == V79, V79 == V83, V83 == V89, V89 == V93, V93 == V97, V97 == V104, V104 == V110, V110 == V114, V114 == V118, V118 == V126, V126 == V128, V128 == V132, V132 == V135; #1258 ), references = 1, size of lhs = 20:
% 4.66/4.86 group_element-{F}(V0), P_e_2-{F}(V0), next-{F}(V0,V1), group_element-{F}(V2), P_e_1-{F}(V2), product-{F}(V0,V2,V3), product-{F}(V0,V2,V4), greater-{F}(V4,V5), next-{F}(V2,V5), product-{F}(V0,V2,V6), product-{F}(V6,V2,V0), P_e_3-{F}(V6), group_element-{F}(V7), greater-{F}(V7,V1), product-{F}(V7,V2,V7), P_e_4-{F}(V7), product-{F}(V0,V2,V8), product-{F}(V0,V2,V9), greater-{F}(V9,V10), next-{F}(V2,V10) | product-{T}(V0,V0,V6)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #1680: mergings( V0 == V5, V5 == V9, V9 == V12, V12 == V15, V15 == V19, V19 == V22, V22 == V26, V26 == V28, V28 == V32, V32 == V36, V36 == V40, V40 == V44, V44 == V48, V48 == V53, V53 == V56, V56 == V65, V65 == V73, V73 == V79, V79 == V83, V83 == V87, V87 == V90, V90 == V4, V4 == V92, V92 == V96, V96 == V100, V100 == V103, V103 == V108, V108 == V112, V112 == V114, V114 == V118, V118 == V122, V122 == V126, V126 == V128, V128 == V134, V134 == V138, V138 == V142, V142 == V149, V149 == V155, V155 == V159, V159 == V162, V162 == V166, V1 == V6, V6 == V10, V10 == V16, V16 == V20, V20 == V23, V23 == V27, V27 == V29, V29 == V33, V33 == V37, V37 == V41, V41 == V45, V45 == V49, V49 == V51, V51 == V57, V57 == V60, V60 == V66, V66 == V69, V69 == V74, V74 == V80, V80 == V84, V84 == V88, V88 == V93, V93 == V97, V97 == V101, V101 == V104, V104 == V107, V107 == V109, V109 == V115, V115 == V119, V119 == V123, V123 == V127, V127 == V129, V129 == V132, V132 == V135, V135 == V139, V139 == V143, V143 == V146, V146 == V150, V150 == V156, V156 == V163, V2 == V7, V7 == V11, V11 == V13, V13 == V14, V14 == V17, V17 == V24, V24 == V30, V30 == V35, V35 == V38, V38 == V42, V42 == V46, V46 == V54, V54 == V58, V58 == V61, V61 == V67, V67 == V70, V70 == V75, V75 == V77, V77 == V81, V81 == V85, V85 == V91, V91 == V94, V94 == V98, V98 == V105, V105 == V110, V110 == V113, V113 == V116, V116 == V120, V120 == V124, V124 == V130, V130 == V133, V133 == V136, V136 == V140, V140 == V144, V144 == V147, V147 == V151, V151 == V153, V153 == V157, V157 == V160, V160 == V164, V164 == V167, V8 == V18, V18 == V21, V21 == V25, V25 == V31, V31 == V34, V34 == V39, V39 == V43, V43 == V47, V47 == V50, V50 == V55, V55 == V59, V59 == V62, V62 == V68, V68 == V71, V71 == V76, V76 == V78, V78 == V82, V82 == V86, V86 == V89, V89 == V95, V95 == V99, V99 == V102, V102 == V106, V106 == V3, V3 == V111, V111 == V117, V117 == V121, V121 == V125, V125 == V131, V131 == V137, V137 == V141, V141 == V145, V145 == V152, V152 == V154, V154 == V158, V158 == V161, V161 == V165, V165 == V168; #1519 ), references = 1, size of lhs = 17:
% 4.66/4.86 group_element-{F}(V0), P_e_3-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), next-{F}(V1,V2), group_element-{F}(V3), product-{F}(V3,V3,V3), P_e_1-{F}(V3), product-{F}(V1,V3,V0), product-{F}(V1,V3,V4), greater-{F}(V4,V5), next-{F}(V3,V5), product-{F}(V1,V3,V6), group_element-{F}(V7), greater-{F}(V7,V2), P_e_4-{F}(V7), product-{F}(V1,V3,V8) | product-{T}(V7,V3,V3), product-{T}(V7,V3,V1)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #1859: mergings( V0 == V3, V3 == V7, V7 == V10, V10 == V13, V13 == V17, V17 == V20, V20 == V24, V24 == V26, V26 == V30, V30 == V34, V34 == V38, V38 == V42, V42 == V46, V46 == V51, V51 == V54, V54 == V63, V63 == V71, V71 == V77, V77 == V81, V81 == V85, V85 == V88, V88 == V91, V91 == V95, V95 == V99, V99 == V102, V102 == V108, V108 == V112, V112 == V114, V114 == V118, V118 == V122, V122 == V126, V126 == V128, V128 == V134, V134 == V138, V138 == V142, V142 == V149, V149 == V155, V155 == V159, V159 == V162, V162 == V166, V166 == V90, V90 == V174, V4 == V8, V8 == V14, V14 == V18, V18 == V21, V21 == V25, V25 == V27, V27 == V31, V31 == V35, V35 == V39, V39 == V43, V43 == V47, V47 == V49, V49 == V55, V55 == V58, V58 == V64, V64 == V67, V67 == V72, V72 == V78, V78 == V82, V82 == V86, V86 == V92, V92 == V96, V96 == V100, V100 == V103, V103 == V106, V106 == V109, V109 == V115, V115 == V119, V119 == V123, V123 == V127, V127 == V129, V129 == V132, V132 == V135, V135 == V139, V139 == V143, V143 == V146, V146 == V150, V150 == V156, V156 == V163, V163 == V1, V1 == V175, V175 == V178, V2 == V5, V5 == V9, V9 == V11, V11 == V12, V12 == V15, V15 == V22, V22 == V28, V28 == V33, V33 == V36, V36 == V40, V40 == V44, V44 == V52, V52 == V56, V56 == V59, V59 == V65, V65 == V68, V68 == V73, V73 == V75, V75 == V79, V79 == V83, V83 == V89, V89 == V93, V93 == V97, V97 == V104, V104 == V110, V110 == V113, V113 == V116, V116 == V120, V120 == V124, V124 == V130, V130 == V133, V133 == V136, V136 == V140, V140 == V144, V144 == V147, V147 == V151, V151 == V153, V153 == V157, V157 == V160, V160 == V164, V164 == V167, V167 == V169, V169 == V171, V171 == V176, V176 == V179, V6 == V16, V16 == V19, V19 == V23, V23 == V29, V29 == V32, V32 == V37, V37 == V41, V41 == V45, V45 == V48, V48 == V53, V53 == V57, V57 == V60, V60 == V66, V66 == V69, V69 == V74, V74 == V76, V76 == V80, V80 == V84, V84 == V87, V87 == V94, V94 == V98, V98 == V101, V101 == V105, V105 == V107, V107 == V111, V111 == V117, V117 == V121, V121 == V125, V125 == V131, V131 == V137, V137 == V141, V141 == V145, V145 == V152, V152 == V154, V154 == V158, V158 == V161, V161 == V165, V165 == V168, V168 == V177, V177 == V180; #1688 ), references = 1, size of lhs = 23:
% 4.66/4.86 group_element-{F}(V0), P_e_3-{F}(V0), group_element-{F}(V1), P_e_4-{F}(V1), greater-{F}(V1,V2), group_element-{F}(V3), next-{F}(V3,V2), P_e_2-{F}(V3), group_element-{F}(V4), product-{F}(V4,V4,V4), product-{F}(V3,V4,V0), P_e_1-{F}(V4), product-{F}(V3,V4,V5), greater-{F}(V5,V6), next-{F}(V4,V6), product-{F}(V3,V4,V7), product-{F}(V3,V4,V8), product-{F}(V3,V4,V9), product-{F}(V3,V4,V10), greater-{F}(V10,V11), next-{F}(V4,V11), greater-{F}(V1,V12), next-{F}(V3,V12) | product-{T}(V1,V4,V4)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #2029: mergings( V0 == V3, V3 == V7, V7 == V10, V10 == V13, V13 == V17, V17 == V20, V20 == V24, V24 == V26, V26 == V30, V30 == V34, V34 == V38, V38 == V42, V42 == V46, V46 == V51, V51 == V54, V54 == V63, V63 == V71, V71 == V77, V77 == V81, V81 == V85, V85 == V88, V88 == V91, V91 == V95, V95 == V99, V99 == V102, V102 == V108, V108 == V112, V112 == V114, V114 == V118, V118 == V122, V122 == V126, V126 == V128, V128 == V134, V134 == V138, V138 == V142, V142 == V149, V149 == V155, V155 == V159, V159 == V162, V162 == V166, V166 == V90, V90 == V177, V177 == V181, V4 == V8, V8 == V14, V14 == V18, V18 == V21, V21 == V25, V25 == V27, V27 == V31, V31 == V35, V35 == V39, V39 == V43, V43 == V47, V47 == V49, V49 == V55, V55 == V58, V58 == V64, V64 == V67, V67 == V72, V72 == V78, V78 == V82, V82 == V86, V86 == V92, V92 == V96, V96 == V100, V100 == V103, V103 == V106, V106 == V109, V109 == V115, V115 == V119, V119 == V123, V123 == V127, V127 == V129, V129 == V132, V132 == V135, V135 == V139, V139 == V143, V143 == V146, V146 == V150, V150 == V156, V156 == V163, V163 == V1, V1 == V178, V2 == V5, V5 == V9, V9 == V11, V11 == V12, V12 == V15, V15 == V22, V22 == V28, V28 == V33, V33 == V36, V36 == V40, V40 == V44, V44 == V52, V52 == V56, V56 == V59, V59 == V65, V65 == V68, V68 == V73, V73 == V75, V75 == V79, V79 == V83, V83 == V89, V89 == V93, V93 == V97, V97 == V104, V104 == V110, V110 == V113, V113 == V116, V116 == V120, V120 == V124, V124 == V130, V130 == V133, V133 == V136, V136 == V140, V140 == V144, V144 == V147, V147 == V151, V151 == V153, V153 == V157, V157 == V160, V160 == V164, V164 == V167, V167 == V169, V169 == V170, V170 == V179, V179 == V182, V6 == V16, V16 == V19, V19 == V23, V23 == V29, V29 == V32, V32 == V37, V37 == V41, V41 == V45, V45 == V48, V48 == V53, V53 == V57, V57 == V60, V60 == V66, V66 == V69, V69 == V74, V74 == V76, V76 == V80, V80 == V84, V84 == V87, V87 == V94, V94 == V98, V98 == V101, V101 == V105, V105 == V107, V107 == V111, V111 == V117, V117 == V121, V121 == V125, V125 == V131, V131 == V137, V137 == V141, V141 == V145, V145 == V152, V152 == V154, V154 == V158, V158 == V161, V161 == V165, V165 == V168, V168 == V180, V180 == V183; #1689 ), references = 1, size of lhs = 26:
% 4.66/4.86 group_element-{F}(V0), P_e_3-{F}(V0), group_element-{F}(V1), P_e_4-{F}(V1), greater-{F}(V1,V2), group_element-{F}(V3), next-{F}(V3,V2), P_e_2-{F}(V3), group_element-{F}(V4), product-{F}(V4,V4,V4), product-{F}(V3,V4,V0), P_e_1-{F}(V4), product-{F}(V3,V4,V5), greater-{F}(V5,V6), next-{F}(V4,V6), product-{F}(V3,V4,V7), product-{F}(V3,V4,V8), product-{F}(V3,V4,V9), product-{F}(V3,V4,V10), greater-{F}(V10,V11), next-{F}(V4,V11), product-{F}(V3,V4,V12), greater-{F}(V12,V13), next-{F}(V4,V13), next-{F}(V3,V14), greater-{F}(V1,V14) | product-{T}(V1,V4,V4)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #2251: mergings( V5 == V9, V9 == V17, V17 == V23, V23 == V27, V27 == V33, V33 == V37, V37 == V43, V43 == V47, V47 == V57, V57 == V61, V61 == V64, V64 == V70, V70 == V74, V74 == V76, V76 == V80, V80 == V82, V82 == V86, V86 == V90, V90 == V97, V97 == V104, V104 == V112, V112 == V118, V118 == V122, V122 == V128, V128 == V132, V132 == V138, V138 == V144, V144 == V148, V148 == V150, V150 == V154, V154 == V158, V158 == V162, V162 == V164, V164 == V170, V170 == V174, V174 == V178, V178 == V184, V184 == V190, V190 == V196, V196 == V0, V0 == V206, V206 == V214, V1 == V6, V6 == V10, V10 == V18, V18 == V24, V24 == V28, V28 == V34, V34 == V38, V38 == V44, V44 == V48, V48 == V53, V53 == V58, V58 == V65, V65 == V68, V68 == V71, V71 == V75, V75 == V77, V77 == V83, V83 == V87, V87 == V91, V91 == V94, V94 == V98, V98 == V101, V101 == V105, V105 == V108, V108 == V113, V113 == V119, V119 == V123, V123 == V126, V126 == V129, V129 == V133, V133 == V136, V136 == V139, V139 == V142, V142 == V145, V145 == V151, V151 == V155, V155 == V159, V159 == V163, V163 == V165, V165 == V168, V168 == V171, V171 == V175, V175 == V179, V179 == V182, V182 == V185, V185 == V191, V191 == V197, V197 == V202, V202 == V207, V207 == V210, V210 == V215, V215 == V218, V218 == V220, V220 == V224, V2 == V7, V7 == V11, V11 == V13, V13 == V15, V15 == V19, V19 == V21, V21 == V25, V25 == V29, V29 == V31, V31 == V35, V35 == V39, V39 == V41, V41 == V45, V45 == V49, V49 == V51, V51 == V54, V54 == V59, V59 == V62, V62 == V63, V63 == V66, V66 == V72, V72 == V78, V78 == V84, V84 == V88, V88 == V92, V92 == V99, V99 == V102, V102 == V106, V106 == V109, V109 == V114, V114 == V116, V116 == V120, V120 == V124, V124 == V130, V130 == V134, V134 == V140, V140 == V146, V146 == V149, V149 == V152, V152 == V156, V156 == V160, V160 == V166, V166 == V169, V169 == V172, V172 == V176, V176 == V180, V180 == V183, V183 == V186, V186 == V188, V188 == V192, V192 == V194, V194 == V198, V198 == V200, V200 == V204, V204 == V208, V208 == V211, V211 == V216, V216 == V219, V219 == V221, V221 == V225, V3 == V4, V4 == V8, V8 == V12, V12 == V14, V14 == V16, V16 == V20, V20 == V22, V22 == V26, V26 == V30, V30 == V32, V32 == V36, V36 == V40, V40 == V42, V42 == V46, V46 == V50, V50 == V52, V52 == V55, V55 == V60, V60 == V67, V67 == V69, V69 == V73, V73 == V79, V79 == V81, V81 == V85, V85 == V89, V89 == V93, V93 == V95, V95 == V96, V96 == V100, V100 == V103, V103 == V107, V107 == V110, V110 == V115, V115 == V117, V117 == V121, V121 == V125, V125 == V127, V127 == V131, V131 == V135, V135 == V137, V137 == V141, V141 == V143, V143 == V147, V147 == V153, V153 == V157, V157 == V161, V161 == V167, V167 == V173, V173 == V177, V177 == V181, V181 == V187, V187 == V189, V189 == V193, V193 == V195, V195 == V199, V199 == V201, V201 == V209, V209 == V212, V212 == V217, V217 == V222, V222 == V226; #2033 ), references = 1, size of lhs = 22:
% 4.66/4.86 group_element-{F}(V0), P_e_3-{F}(V0), group_element-{F}(V1), P_e_4-{F}(V1), greater-{F}(V1,V2), greater-{F}(V1,V3), group_element-{F}(V4), next-{F}(V4,V2), next-{F}(V4,V3), P_e_2-{F}(V4), group_element-{F}(V5), P_e_1-{F}(V5), next-{F}(V5,V6), greater-{F}(V0,V6), greater-{F}(V0,V7), next-{F}(V5,V7), greater-{F}(V1,V8), next-{F}(V4,V8), greater-{F}(V0,V9), next-{F}(V5,V9), greater-{F}(V1,V10), next-{F}(V5,V10) | product-{T}(V5,V5,V4)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #2277: mergings( V0 == V6, V6 == V10, V10 == V14, V14 == V18, V18 == V22, V1 == V7, V7 == V11, V11 == V15, V15 == V19, V19 == V23, V2 == V5, V5 == V8, V8 == V12, V12 == V20, V3 == V9, V9 == V13, V13 == V16, V16 == V21, V21 == V24; #2257 ), references = 1, size of lhs = 9:
% 4.66/4.86 group_element-{F}(V0), group_element-{F}(V1), P_e_3-{F}(V1), P_e_1-{F}(V2), product-{F}(V0,V2,V3), product-{F}(V2,V2,V3), P_e_2-{F}(V4), P_e_4-{F}(V5), product-{F}(V5,V0,V5) | product-{T}(V1,V0,V4), product-{T}(V1,V0,V1)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #2306: mergings( V0 == V6, V6 == V10, V10 == V14, V14 == V18, V18 == V22, V22 == V25, V25 == V29, V1 == V7, V7 == V11, V11 == V15, V15 == V19, V19 == V23, V23 == V26, V26 == V30, V2 == V5, V5 == V8, V8 == V12, V12 == V20, V20 == V27, V3 == V9, V9 == V13, V13 == V16, V16 == V21, V21 == V24, V24 == V28, V28 == V31; #2279 ), references = 1, size of lhs = 10:
% 4.66/4.86 group_element-{F}(V0), group_element-{F}(V1), P_e_3-{F}(V1), P_e_1-{F}(V2), product-{F}(V0,V2,V3), product-{F}(V2,V2,V3), product-{F}(V2,V0,V4), P_e_2-{F}(V4), P_e_4-{F}(V5), product-{F}(V5,V0,V5) | product-{T}(V1,V0,V1)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #2325: mergings( V0 == V6, V6 == V10, V10 == V13, V13 == V17, V1 == V5, V5 == V7, V7 == V14, V2 == V8, V8 == V11, V11 == V15, V15 == V18, V3 == V9, V9 == V12, V12 == V16, V16 == V19; #2309 ), references = 1, size of lhs = 8:
% 4.66/4.86 group_element-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), P_e_1-{F}(V2), product-{F}(V2,V0,V1), P_e_3-{F}(V3), product-{F}(V3,V0,V3), P_e_4-{F}(V4) | product-{T}(V1,V0,V2), product-{T}(V1,V0,V4)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #2355: mergings( V0 == V6, V6 == V10, V10 == V13, V13 == V17, V17 == V20, V20 == V24, V24 == V28, V1 == V5, V5 == V7, V7 == V14, V14 == V21, V21 == V25, V2 == V8, V8 == V11, V11 == V15, V15 == V18, V18 == V22, V22 == V26, V26 == V29, V3 == V9, V9 == V12, V12 == V16, V16 == V19, V19 == V23, V23 == V27, V27 == V30; #2328 ), references = 2, size of lhs = 10:
% 4.66/4.86 group_element-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), P_e_1-{F}(V2), product-{F}(V2,V0,V1), P_e_3-{F}(V3), product-{F}(V3,V0,V3), P_e_4-{F}(V4), product-{F}(V0,V2,V5), product-{F}(V2,V2,V5) | product-{T}(V1,V0,V4)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #2431: mergings( V0 == V6, V6 == V10, V10 == V14, V14 == V18, V18 == V21, V21 == V25, V25 == V29, V29 == V33, V33 == V37, V37 == V39, V39 == V43, V43 == V46, V46 == V4, V4 == V51, V51 == V55, V55 == V58, V58 == V62, V62 == V64, V64 == V68, V68 == V72, V1 == V7, V7 == V11, V11 == V15, V15 == V19, V19 == V22, V22 == V26, V26 == V30, V30 == V34, V34 == V38, V38 == V40, V40 == V44, V44 == V47, V47 == V50, V50 == V52, V52 == V59, V59 == V65, V65 == V69, V69 == V76, V2 == V8, V8 == V12, V12 == V16, V16 == V20, V20 == V23, V23 == V27, V27 == V35, V35 == V41, V41 == V48, V48 == V53, V53 == V56, V56 == V60, V60 == V66, V66 == V70, V70 == V73, V73 == V77, V5 == V9, V9 == V13, V13 == V3, V3 == V24, V24 == V28, V28 == V31, V31 == V36, V36 == V42, V42 == V45, V45 == V49, V49 == V54, V54 == V57, V57 == V61, V61 == V63, V63 == V67, V67 == V71, V71 == V74, V74 == V78; #2358 ), references = 1, size of lhs = 14:
% 4.66/4.86 group_element-{F}(V0), P_e_4-{F}(V0), group_element-{F}(V1), P_e_3-{F}(V1), group_element-{F}(V2), P_e_1-{F}(V2), product-{F}(V2,V2,V3), product-{F}(V2,V2,V4), group_element-{F}(V5), product-{F}(V2,V2,V5), P_e_2-{F}(V5), product-{F}(V2,V2,V6), greater-{F}(V0,V7), next-{F}(V5,V7) | product-{T}(V0,V2,V5), product-{T}(V0,V2,V1)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #2513: mergings( V0 == V4, V4 == V8, V8 == V12, V12 == V16, V16 == V20, V20 == V24, V24 == V28, V28 == V32, V32 == V36, V36 == V38, V38 == V42, V42 == V45, V45 == V49, V49 == V51, V51 == V55, V55 == V58, V58 == V62, V62 == V64, V64 == V68, V68 == V72, V72 == V80, V80 == V84, V1 == V5, V5 == V9, V9 == V13, V13 == V17, V17 == V21, V21 == V25, V25 == V29, V29 == V33, V33 == V37, V37 == V39, V39 == V43, V43 == V46, V46 == V50, V50 == V52, V52 == V59, V59 == V65, V65 == V69, V69 == V76, V76 == V81, V81 == V85, V2 == V6, V6 == V10, V10 == V14, V14 == V19, V19 == V22, V22 == V26, V26 == V34, V34 == V40, V40 == V47, V47 == V53, V53 == V56, V56 == V60, V60 == V66, V66 == V70, V70 == V73, V73 == V77, V77 == V82, V82 == V86, V3 == V7, V7 == V11, V11 == V18, V18 == V23, V23 == V27, V27 == V30, V30 == V35, V35 == V41, V41 == V44, V44 == V48, V48 == V54, V54 == V57, V57 == V61, V61 == V63, V63 == V67, V67 == V71, V71 == V74, V74 == V78, V78 == V83; #2433 ), references = 1, size of lhs = 14:
% 4.66/4.86 group_element-{F}(V0), P_e_4-{F}(V0), group_element-{F}(V1), P_e_3-{F}(V1), group_element-{F}(V2), P_e_1-{F}(V2), product-{F}(V2,V2,V3), product-{F}(V2,V2,V4), group_element-{F}(V5), product-{F}(V2,V2,V5), P_e_2-{F}(V5), product-{F}(V2,V2,V6), greater-{F}(V0,V7), next-{F}(V5,V7) | product-{T}(V0,V2,V1)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #2534: mergings( V0 == V6, V6 == V10, V10 == V13, V13 == V17, V1 == V7, V7 == V11, V11 == V14, V14 == V18, V2 == V5, V5 == V8, V8 == V15, V3 == V9, V9 == V12, V12 == V16, V16 == V19; #2517 ), references = 1, size of lhs = 8:
% 4.66/4.86 group_element-{F}(V0), group_element-{F}(V1), P_e_3-{F}(V1), P_e_1-{F}(V2), product-{F}(V2,V0,V3), P_e_2-{F}(V3), P_e_4-{F}(V4), product-{F}(V4,V0,V1) | product-{T}(V1,V0,V2), product-{T}(V1,V0,V4)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #2549: mergings( V0 == V5, V5 == V9, V9 == V4, V4 == V13, V1 == V6, V6 == V10, V10 == V12, V12 == V16, V2 == V7, V7 == V17, V3 == V8, V8 == V11, V11 == V14, V14 == V18; #2518 ), references = 1, size of lhs = 11:
% 4.66/4.86 group_element-{F}(V0), P_e_3-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V1), group_element-{F}(V2), product-{F}(V1,V1,V2), P_e_2-{F}(V2), product-{F}(V1,V1,V3), P_e_4-{F}(V4), greater-{F}(V4,V5), next-{F}(V2,V5) | product-{T}(V0,V1,V1), product-{T}(V0,V1,V4)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #2568: mergings( V0 == V6, V6 == V10, V10 == V13, V13 == V17, V1 == V5, V5 == V7, V7 == V14, V2 == V8, V8 == V11, V11 == V15, V15 == V18, V3 == V9, V9 == V12, V12 == V16, V16 == V19; #2552 ), references = 1, size of lhs = 8:
% 4.66/4.86 group_element-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), P_e_1-{F}(V2), product-{F}(V2,V0,V1), P_e_3-{F}(V3), P_e_4-{F}(V4), product-{F}(V4,V0,V3) | product-{T}(V1,V0,V2), product-{T}(V1,V0,V4)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #2598: mergings( V0 == V6, V6 == V10, V10 == V13, V13 == V17, V17 == V20, V20 == V24, V24 == V28, V1 == V5, V5 == V7, V7 == V14, V14 == V21, V21 == V25, V2 == V8, V8 == V11, V11 == V15, V15 == V18, V18 == V22, V22 == V26, V26 == V29, V3 == V9, V9 == V12, V12 == V16, V16 == V19, V19 == V23, V23 == V27, V27 == V30; #2571 ), references = 1, size of lhs = 10:
% 4.66/4.86 group_element-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), P_e_1-{F}(V2), product-{F}(V2,V0,V1), P_e_3-{F}(V3), P_e_4-{F}(V4), product-{F}(V4,V0,V3), product-{F}(V0,V2,V5), product-{F}(V2,V2,V5) | product-{T}(V1,V0,V4)
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #2848: mergings( V1 == V3, V3 == V6, V6 == V11, V11 == V13, V13 == V15, V15 == V18, V18 == V21, V21 == V26, V26 == V30, V30 == V33, V33 == V37, V37 == V40, V40 == V44, V44 == V47, V47 == V53, V53 == V56, V56 == V58, V58 == V62, V62 == V65, V65 == V67, V67 == V70, V70 == V71, V71 == V74, V74 == V77, V77 == V81, V81 == V86, V86 == V91, V91 == V95, V95 == V98, V98 == V102, V102 == V105, V105 == V109, V109 == V113, V113 == V116, V116 == V118, V118 == V121, V121 == V124, V124 == V127, V127 == V129, V129 == V134, V134 == V137, V137 == V140, V140 == V145, V145 == V149, V149 == V153, V153 == V158, V158 == V163, V163 == V172, V172 == V175, V175 == V181, V181 == V184, V184 == V188, V188 == V191, V191 == V193, V193 == V198, V198 == V202, V202 == V205, V205 == V206, V206 == V209, V209 == V215, V215 == V222, V222 == V224, V224 == V228, V228 == V231, V231 == V233, V233 == V236, V2 == V4, V4 == V7, V7 == V9, V9 == V14, V14 == V16, V16 == V19, V19 == V22, V22 == V27, V27 == V31, V31 == V34, V34 == V38, V38 == V41, V41 == V45, V45 == V48, V48 == V51, V51 == V54, V54 == V59, V59 == V61, V61 == V63, V63 == V66, V66 == V68, V68 == V72, V72 == V75, V75 == V78, V78 == V80, V80 == V82, V82 == V84, V84 == V87, V87 == V89, V89 == V92, V92 == V96, V96 == V99, V99 == V101, V101 == V103, V103 == V106, V106 == V108, V108 == V110, V110 == V112, V112 == V114, V114 == V119, V119 == V122, V122 == V125, V125 == V128, V128 == V130, V130 == V132, V132 == V135, V135 == V138, V138 == V141, V141 == V143, V143 == V146, V146 == V150, V150 == V154, V154 == V159, V159 == V161, V161 == V164, V164 == V166, V166 == V168, V168 == V170, V170 == V173, V173 == V176, V176 == V178, V178 == V182, V182 == V185, V185 == V187, V187 == V189, V189 == V192, V192 == V194, V194 == V196, V196 == V199, V199 == V203, V203 == V207, V207 == V210, V210 == V213, V213 == V216, V216 == V218, V218 == V220, V220 == V223, V223 == V225, V225 == V229, V229 == V234, V234 == V237, V237 == V240, V5 == V8, V8 == V10, V10 == V12, V12 == V17, V17 == V20, V20 == V23, V23 == V24, V24 == V25, V25 == V28, V28 == V29, V29 == V32, V32 == V35, V35 == V36, V36 == V39, V39 == V42, V42 == V43, V43 == V46, V46 == V49, V49 == V50, V50 == V52, V52 == V55, V55 == V57, V57 == V60, V60 == V64, V64 == V69, V69 == V73, V73 == V76, V76 == V79, V79 == V83, V83 == V85, V85 == V88, V88 == V90, V90 == V93, V93 == V94, V94 == V97, V97 == V100, V100 == V104, V104 == V107, V107 == V111, V111 == V115, V115 == V117, V117 == V120, V120 == V123, V123 == V126, V126 == V131, V131 == V133, V133 == V136, V136 == V139, V139 == V142, V142 == V144, V144 == V147, V147 == V148, V148 == V151, V151 == V152, V152 == V155, V155 == V156, V156 == V157, V157 == V160, V160 == V162, V162 == V165, V165 == V167, V167 == V169, V169 == V171, V171 == V174, V174 == V177, V177 == V179, V179 == V180, V180 == V183, V183 == V186, V186 == V190, V190 == V195, V195 == V197, V197 == V200, V200 == V201, V201 == V204, V204 == V208, V208 == V211, V211 == V212, V212 == V214, V214 == V217, V217 == V219, V219 == V221, V221 == V226, V226 == V227, V227 == V230, V230 == V232, V232 == V235, V235 == V238, V238 == V239, V239 == V241; #2609 ), references = 1, size of lhs = 5:
% 4.66/4.86 P_e_1-{F}(V0), next-{F}(V0,V1), P_e_2-{F}(V1), next-{F}(V1,V2), P_e_3-{F}(V2) | FALSE
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #3000: mergings( V1 == V2, V2 == V4, V4 == V6, V6 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V33, V33 == V35, V35 == V36, V36 == V39, V39 == V41, V41 == V43, V43 == V45, V45 == V46, V46 == V48, V48 == V50, V50 == V53, V53 == V56, V56 == V59, V59 == V61, V61 == V63, V63 == V66, V66 == V68, V68 == V71, V71 == V74, V74 == V76, V76 == V77, V77 == V79, V79 == V81, V81 == V83, V83 == V85, V85 == V88, V88 == V90, V90 == V92, V92 == V95, V95 == V97, V97 == V99, V99 == V101, V101 == V104, V104 == V109, V109 == V111, V111 == V114, V114 == V116, V116 == V119, V119 == V121, V121 == V123, V123 == V126, V126 == V128, V128 == V130, V130 == V131, V131 == V133, V133 == V136, V136 == V140, V140 == V142, V142 == V144, V144 == V146, V146 == V147, V147 == V149, V3 == V5, V5 == V7, V7 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V32, V32 == V34, V34 == V37, V37 == V38, V38 == V40, V40 == V42, V42 == V44, V44 == V47, V47 == V49, V49 == V51, V51 == V52, V52 == V54, V54 == V55, V55 == V57, V57 == V58, V58 == V60, V60 == V62, V62 == V64, V64 == V65, V65 == V67, V67 == V69, V69 == V70, V70 == V72, V72 == V73, V73 == V75, V75 == V78, V78 == V80, V80 == V82, V82 == V84, V84 == V86, V86 == V87, V87 == V89, V89 == V91, V91 == V93, V93 == V94, V94 == V96, V96 == V98, V98 == V100, V100 == V102, V102 == V103, V103 == V105, V105 == V106, V106 == V107, V107 == V108, V108 == V110, V110 == V112, V112 == V113, V113 == V115, V115 == V117, V117 == V118, V118 == V120, V120 == V122, V122 == V124, V124 == V125, V125 == V127, V127 == V129, V129 == V132, V132 == V134, V134 == V135, V135 == V137, V137 == V138, V138 == V139, V139 == V141, V141 == V143, V143 == V145, V145 == V148, V148 == V150, V150 == V151; #2850 ), references = 1, size of lhs = 3:
% 4.66/4.86 P_e_1-{F}(V0), next-{F}(V0,V1), P_e_2-{F}(V1) | FALSE
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #3070: mergings( V1 == V2, V2 == V3, 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, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V25, V25 == V26, V26 == V27, V27 == V28, V28 == V29, V29 == V30, V30 == V31, V31 == V32, V32 == V33, V33 == V34, V34 == V35, V35 == V36, V36 == V37, V37 == V38, V38 == V39, V39 == V40, V40 == V41, V41 == V42, V42 == V43, V43 == V44, V44 == V45, V45 == V46, V46 == V47, V47 == V48, V48 == V49, V49 == V50, V50 == V51, V51 == V52, V52 == V53, V53 == V54, V54 == V55, V55 == V56, V56 == V57, V57 == V58, V58 == V59, V59 == V60, V60 == V61, V61 == V62, V62 == V63, V63 == V64, V64 == V65, V65 == V66, V66 == V67, V67 == V68; #3002 ), references = 1, size of lhs = 1:
% 4.66/4.86 P_e_1-{F}(V0) | FALSE
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 #3072: exists( #31, #3002 ), references = 1, size of lhs = 0:
% 4.66/4.86 FALSE | FALSE
% 4.66/4.86 (used 0 times, uses = {})
% 4.66/4.86
% 4.66/4.86 number of learnt formulas = 53
% 4.66/4.86
% 4.66/4.86
% 4.66/4.86 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.66/4.86
% 4.66/4.86 randbase = 1
%------------------------------------------------------------------------------