TSTP Solution File: GRP127-1.004 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP127-1.004 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n015.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 06:03:16 EDT 2022
% Result : Unsatisfiable 1.46s 1.67s
% Output : Refutation 1.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP127-1.004 : TPTP v8.1.0. Released v1.2.0.
% 0.11/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jul 22 13:43:51 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.46/1.67 GeoParameters:
% 1.46/1.67
% 1.46/1.67 tptp_input = 1
% 1.46/1.67 tptp_output = 0
% 1.46/1.67 nonempty = 1
% 1.46/1.67 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.46/1.67 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.46/1.67
% 1.46/1.67
% 1.46/1.67 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.46/1.67 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.46/1.67
% 1.46/1.67 RuleSystem INPUT:
% 1.46/1.67
% 1.46/1.67 Initial Rules:
% 1.46/1.67 #0: input, references = 4, size of lhs = 1:
% 1.46/1.67 P_e_1-{F}(V0) | group_element-{T}(V0)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #1: input, references = 4, size of lhs = 2:
% 1.46/1.67 P_e_1-{F}(V0), P_e_2-{F}(V1) | group_element-{T}(V1)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #2: input, references = 4, size of lhs = 3:
% 1.46/1.67 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2) | group_element-{T}(V2)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #3: input, references = 4, size of lhs = 4:
% 1.46/1.67 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3) | group_element-{T}(V3)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #4: input, references = 11, size of lhs = 5:
% 1.46/1.67 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
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #5: input, references = 6, size of lhs = 5:
% 1.46/1.67 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
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #6: input, references = 6, size of lhs = 5:
% 1.46/1.67 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
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #7: input, references = 9, size of lhs = 5:
% 1.46/1.67 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
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #8: input, references = 7, size of lhs = 5:
% 1.46/1.67 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
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #9: input, references = 7, size of lhs = 5:
% 1.46/1.67 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
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #10: input, references = 5, size of lhs = 5:
% 1.46/1.67 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
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #11: input, references = 4, size of lhs = 5:
% 1.46/1.67 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
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #12: input, references = 4, size of lhs = 5:
% 1.46/1.67 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
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #13: input, references = 7, size of lhs = 5:
% 1.46/1.67 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
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #14: input, references = 8, size of lhs = 5:
% 1.46/1.67 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
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #15: input, references = 5, size of lhs = 5:
% 1.46/1.67 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
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #16: input, references = 16, size of lhs = 6:
% 1.46/1.67 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)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #17: input, references = 4, size of lhs = 6:
% 1.46/1.67 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)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #18: input, references = 20, size of lhs = 6:
% 1.46/1.67 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)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #19: input, references = 28, size of lhs = 6:
% 1.46/1.67 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)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #20: input, references = 8, size of lhs = 5:
% 1.46/1.67 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), #-{F} V4 | product-{T}(V4,V4,V4)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #21: input, references = 11, size of lhs = 6:
% 1.46/1.67 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), product-{F}(V5,V4,V6), product-{F}(V4,V7,V5) | product-{T}(V6,V4,V7)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #22: input, references = 4, size of lhs = 0:
% 1.46/1.67 FALSE | EXISTS V0: P_e_1-{T}(V0)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #23: input, references = 4, size of lhs = 0:
% 1.46/1.67 FALSE | EXISTS V0: P_e_2-{T}(V0)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #24: input, references = 5, size of lhs = 0:
% 1.46/1.67 FALSE | EXISTS V0: P_e_3-{T}(V0)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #25: input, references = 5, size of lhs = 0:
% 1.46/1.67 FALSE | EXISTS V0: P_e_4-{T}(V0)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 number of initial rules = 26
% 1.46/1.67
% 1.46/1.67 Simplifiers:
% 1.46/1.67 #26: unsound, references = 3, size of lhs = 3:
% 1.46/1.67 P_e_1-{F}(V0), P_e_1-{F}(V1), V0 == V1 | FALSE
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #27: unsound, references = 3, size of lhs = 3:
% 1.46/1.67 P_e_2-{F}(V0), P_e_2-{F}(V1), V0 == V1 | FALSE
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #28: unsound, references = 3, size of lhs = 3:
% 1.46/1.67 P_e_3-{F}(V0), P_e_3-{F}(V1), V0 == V1 | FALSE
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #29: unsound, references = 3, size of lhs = 3:
% 1.46/1.67 P_e_4-{F}(V0), P_e_4-{F}(V1), V0 == V1 | FALSE
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 number of simplifiers = 4
% 1.46/1.67
% 1.46/1.67 Learnt:
% 1.46/1.67 #46: mergings( V1 == V4, V4 == V7, V2 == V5, V5 == V7, V3 == V6, V6 == V8; #38 ), references = 1, size of lhs = 3:
% 1.46/1.67 P_e_1-{F}(V0), P_e_2-{F}(V0), P_e_3-{F}(V1) | FALSE
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #53: mergings( V1 == V3, V3 == V5, V2 == V4, V4 == V5; #47 ), references = 1, size of lhs = 2:
% 1.46/1.67 P_e_1-{F}(V0), P_e_2-{F}(V0) | FALSE
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #84: mergings( V0 == V4, V4 == V6, V6 == V10, V10 == V13, V1 == V5, V5 == V7, V7 == V14, V14 == V17, V2 == V8, V8 == V11, V11 == V15, V15 == V18, V3 == V9, V9 == V12, V12 == V16, V16 == V19; #66 ), references = 1, size of lhs = 8:
% 1.46/1.67 group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), product-{F}(V1,V1,V1), P_e_3-{F}(V2), P_e_4-{F}(V3) | product-{T}(V1,V0,V2), product-{T}(V1,V0,V3)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #116: mergings( V0 == V5, V5 == V6, V6 == V10, V10 == V14, V14 == V18, V18 == V22, V1 == V4, V4 == V7, V7 == V11, V11 == V19, V19 == V23, V23 == V26, V2 == V8, V8 == V12, V12 == V15, V15 == V20, V20 == V24, V24 == V27, V3 == V9, V9 == V13, V13 == V16, V16 == V21, V21 == V25, V25 == V28; #90 ), references = 1, size of lhs = 10:
% 1.46/1.67 group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V1), product-{F}(V1,V1,V2), product-{F}(V2,V1,V1), P_e_3-{F}(V3), P_e_4-{F}(V4), product-{F}(V4,V1,V5), product-{F}(V5,V0,V0) | product-{T}(V1,V0,V0), product-{T}(V1,V0,V3)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #141: mergings( V0 == V6, V6 == V10, V10 == V14, V14 == V18, V18 == V22, V22 == V26, V1 == V4, V4 == V7, V7 == V11, V11 == V19, V19 == V23, V23 == V27, V2 == V8, V8 == V12, V12 == V15, V15 == V20, V20 == V24, V24 == V28, V3 == V9, V9 == V13, V13 == V16, V16 == V21, V21 == V25, V25 == V29; #91 ), references = 1, size of lhs = 9:
% 1.46/1.67 group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V2), product-{F}(V2,V2,V3), product-{F}(V3,V2,V1), P_e_3-{F}(V4), P_e_4-{F}(V5), product-{F}(V5,V1,V0) | product-{T}(V1,V0,V0), product-{T}(V1,V0,V4)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #160: 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; #144 ), references = 1, size of lhs = 8:
% 1.46/1.67 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)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #188: mergings( V0 == V4, V4 == V6, V6 == V10, V10 == V13, V13 == V17, V17 == V20, V1 == V7, V7 == V11, V11 == V14, V14 == V18, V18 == V21, V21 == V24, V2 == V5, V5 == V8, V8 == V15, V15 == V22, V22 == V25, V3 == V9, V9 == V12, V12 == V16, V16 == V19, V19 == V23, V23 == V26; #163 ), references = 2, size of lhs = 9:
% 1.46/1.67 group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_3-{F}(V1), product-{F}(V1,V1,V1), P_e_2-{F}(V2), P_e_4-{F}(V3), product-{F}(V3,V0,V2) | product-{T}(V1,V0,V3)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #211: 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; #164 ), references = 1, size of lhs = 9:
% 1.46/1.67 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,V3) | product-{T}(V1,V0,V4)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #241: mergings( V0 == V5, V5 == V6, V6 == V10, V10 == V13, V13 == V17, V1 == V4, V4 == V7, V7 == V14, V14 == V18, V18 == V21, V2 == V8, V8 == V11, V11 == V15, V15 == V19, V19 == V22, V3 == V9, V9 == V12, V12 == V16, V16 == V20, V20 == V23; #217 ), references = 1, size of lhs = 9:
% 1.46/1.67 group_element-{F}(V0), P_e_2-{F}(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-{F}(V3,V1,V4), product-{F}(V4,V0,V0) | product-{T}(V1,V0,V0), product-{T}(V1,V0,V2)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #262: 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; #218 ), references = 1, size of lhs = 8:
% 1.46/1.67 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)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #287: mergings( V0 == V5, V5 == V6, V6 == V10, V10 == V14, V14 == V18, V18 == V22, V1 == V4, V4 == V7, V7 == V11, V11 == V19, V19 == V23, V23 == V26, V2 == V8, V8 == V12, V12 == V15, V15 == V20, V20 == V24, V24 == V27, V3 == V9, V9 == V13, V13 == V16, V16 == V21, V21 == V25, V25 == V28; #219 ), references = 1, size of lhs = 10:
% 1.46/1.67 group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V1), product-{F}(V1,V1,V2), product-{F}(V2,V1,V1), P_e_3-{F}(V3), P_e_4-{F}(V4), product-{F}(V4,V1,V5), product-{F}(V5,V0,V0) | product-{T}(V1,V0,V0), product-{T}(V1,V0,V3)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #308: 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; #292 ), references = 1, size of lhs = 8:
% 1.46/1.67 group_element-{F}(V0), group_element-{F}(V1), P_e_3-{F}(V1), P_e_1-{F}(V2), P_e_2-{F}(V3), product-{F}(V3,V0,V3), P_e_4-{F}(V4), product-{F}(V4,V0,V2) | product-{T}(V1,V0,V1), product-{T}(V1,V0,V4)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #336: mergings( V0 == V6, V6 == V10, V10 == V13, V13 == V17, V17 == V20, V20 == V24, V1 == V4, V4 == V7, V7 == V11, V11 == V14, V14 == V18, V18 == V21, V2 == V5, V5 == V8, V8 == V15, V15 == V22, V22 == V25, V3 == V9, V9 == V12, V12 == V16, V16 == V19, V19 == V23, V23 == V26; #311 ), references = 1, size of lhs = 9:
% 1.46/1.67 group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_2-{F}(V0), group_element-{F}(V1), P_e_3-{F}(V1), product-{F}(V1,V1,V1), P_e_1-{F}(V2), P_e_4-{F}(V3), product-{F}(V3,V0,V2) | product-{T}(V1,V0,V3)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #359: 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; #312 ), references = 1, size of lhs = 9:
% 1.46/1.67 group_element-{F}(V0), group_element-{F}(V1), P_e_3-{F}(V1), P_e_1-{F}(V2), product-{F}(V2,V0,V1), P_e_2-{F}(V3), product-{F}(V3,V0,V3), P_e_4-{F}(V4), product-{F}(V4,V0,V2) | product-{T}(V1,V0,V4)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #404: mergings( V0 == V10, V10 == V14, V14 == V16, V16 == V20, V20 == V23, V23 == V27, V27 == V30, V30 == V34, V34 == V37, V37 == V41, V1 == V6, V6 == V4, V4 == V11, V11 == V15, V15 == V17, V17 == V21, V21 == V24, V24 == V31, V31 == V38, V38 == V42, V2 == V7, V7 == V9, V9 == V12, V12 == V18, V18 == V25, V25 == V28, V28 == V32, V32 == V35, V35 == V39, V39 == V43, V3 == V5, V5 == V8, V8 == V13, V13 == V19, V19 == V22, V22 == V26, V26 == V29, V29 == V33, V33 == V36, V36 == V40; #362 ), references = 1, size of lhs = 10:
% 1.46/1.67 group_element-{F}(V0), P_e_4-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), product-{F}(V1,V1,V1), group_element-{F}(V2), product-{F}(V2,V2,V2), P_e_3-{F}(V2), P_e_1-{F}(V3), product-{F}(V2,V3,V0) | product-{T}(V0,V1,V2), product-{T}(V0,V1,V0)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #445: mergings( V0 == V10, V10 == V14, V14 == V16, V16 == V20, V20 == V23, V23 == V27, V27 == V30, V30 == V34, V34 == V37, V37 == V41, V1 == V6, V6 == V4, V4 == V11, V11 == V15, V15 == V17, V17 == V21, V21 == V24, V24 == V31, V31 == V38, V2 == V7, V7 == V9, V9 == V12, V12 == V18, V18 == V25, V25 == V28, V28 == V32, V32 == V35, V35 == V39, V39 == V42, V3 == V5, V5 == V8, V8 == V13, V13 == V19, V19 == V22, V22 == V26, V26 == V29, V29 == V33, V33 == V36, V36 == V40, V40 == V43; #363 ), references = 1, size of lhs = 11:
% 1.46/1.67 group_element-{F}(V0), P_e_4-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_2-{F}(V1), group_element-{F}(V2), product-{F}(V2,V2,V2), P_e_3-{F}(V2), P_e_1-{F}(V3), product-{F}(V2,V3,V0), product-{F}(V0,V3,V1) | product-{T}(V0,V1,V2), product-{T}(V0,V1,V0)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #495: mergings( V4 == V10, V10 == V14, V14 == V16, V16 == V20, V20 == V23, V23 == V27, V27 == V30, V30 == V34, V34 == V37, V37 == V41, V41 == V44, V44 == V48, V0 == V5, V5 == V8, V8 == V11, V11 == V15, V15 == V17, V17 == V21, V21 == V24, V24 == V31, V31 == V38, V38 == V42, V42 == V45, V1 == V6, V6 == V9, V9 == V12, V12 == V18, V18 == V25, V25 == V28, V28 == V32, V32 == V35, V35 == V39, V39 == V43, V43 == V46, V46 == V49, V2 == V3, V3 == V7, V7 == V13, V13 == V19, V19 == V22, V22 == V26, V26 == V29, V29 == V33, V33 == V36, V36 == V40, V40 == V47, V47 == V50; #447 ), references = 1, size of lhs = 11:
% 1.46/1.67 group_element-{F}(V0), P_e_4-{F}(V0), product-{F}(V0,V0,V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_2-{F}(V1), group_element-{F}(V2), product-{F}(V2,V2,V2), P_e_3-{F}(V2), P_e_1-{F}(V3), product-{F}(V2,V3,V0) | product-{T}(V0,V1,V2)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #526: mergings( V0 == V5, V5 == V6, V6 == V10, V10 == V14, V14 == V18, V18 == V22, V1 == V4, V4 == V7, V7 == V11, V11 == V19, V19 == V23, V23 == V26, V2 == V8, V8 == V12, V12 == V15, V15 == V20, V20 == V24, V24 == V27, V3 == V9, V9 == V13, V13 == V16, V16 == V21, V21 == V25, V25 == V28; #500 ), references = 1, size of lhs = 10:
% 1.46/1.67 group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V1), product-{F}(V1,V1,V2), product-{F}(V2,V1,V1), P_e_3-{F}(V3), P_e_4-{F}(V4), product-{F}(V4,V1,V5), product-{F}(V5,V0,V0) | product-{T}(V1,V0,V0), product-{T}(V1,V0,V3)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #551: mergings( V0 == V6, V6 == V10, V10 == V14, V14 == V18, V18 == V22, V22 == V26, V1 == V4, V4 == V7, V7 == V11, V11 == V19, V19 == V23, V23 == V27, V2 == V8, V8 == V12, V12 == V15, V15 == V20, V20 == V24, V24 == V28, V3 == V9, V9 == V13, V13 == V16, V16 == V21, V21 == V25, V25 == V29; #501 ), references = 1, size of lhs = 9:
% 1.46/1.67 group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V2), product-{F}(V2,V2,V3), product-{F}(V3,V2,V1), P_e_3-{F}(V4), P_e_4-{F}(V5), product-{F}(V5,V1,V0) | product-{T}(V1,V0,V0), product-{T}(V1,V0,V4)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #585: mergings( V0 == V5, V5 == V6, V6 == V10, V10 == V14, V14 == V18, V18 == V22, V22 == V30, V1 == V4, V4 == V7, V7 == V11, V11 == V19, V19 == V23, V23 == V26, V26 == V31, V31 == V34, V2 == V8, V8 == V12, V12 == V15, V15 == V20, V20 == V24, V24 == V27, V27 == V32, V32 == V35, V3 == V9, V9 == V13, V13 == V16, V16 == V21, V21 == V25, V25 == V28, V28 == V33, V33 == V36; #553 ), references = 1, size of lhs = 11:
% 1.46/1.67 group_element-{F}(V0), P_e_2-{F}(V0), product-{F}(V0,V0,V0), group_element-{F}(V1), P_e_1-{F}(V1), product-{F}(V1,V1,V2), product-{F}(V2,V1,V1), P_e_3-{F}(V3), P_e_4-{F}(V4), product-{F}(V4,V1,V5), product-{F}(V5,V0,V0) | product-{T}(V1,V0,V3)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #709: mergings( V0 == V6, V6 == V8, V8 == V12, V12 == V15, V15 == V19, V19 == V21, V21 == V31, V31 == V36, V36 == V40, V40 == V42, V42 == V46, V46 == V49, V49 == V53, V53 == V56, V56 == V62, V62 == V66, V66 == V69, V69 == V73, V73 == V76, V76 == V4, V4 == V80, V80 == V84, V84 == V88, V88 == V92, V92 == V96, V96 == V103, V103 == V110, V110 == V116, V116 == V120, V1 == V9, V9 == V13, V13 == V16, V16 == V20, V20 == V22, V22 == V25, V25 == V28, V28 == V32, V32 == V37, V37 == V41, V41 == V43, V43 == V47, V47 == V50, V50 == V57, V57 == V63, V63 == V67, V67 == V70, V70 == V77, V77 == V79, V79 == V81, V81 == V85, V85 == V93, V93 == V97, V97 == V100, V100 == V104, V104 == V107, V107 == V111, V111 == V114, V114 == V117, V117 == V121, V2 == V7, V7 == V10, V10 == V17, V17 == V23, V23 == V26, V26 == V33, V33 == V35, V35 == V38, V38 == V44, V44 == V51, V51 == V54, V54 == V58, V58 == V60, V60 == V64, V64 == V68, V68 == V71, V71 == V74, V74 == V78, V78 == V82, V82 == V86, V86 == V89, V89 == V94, V94 == V98, V98 == V101, V101 == V105, V105 == V108, V108 == V112, V112 == V115, V115 == V118, V118 == V122, V3 == V5, V5 == V11, V11 == V14, V14 == V18, V18 == V24, V24 == V27, V27 == V29, V29 == V30, V30 == V34, V34 == V39, V39 == V45, V45 == V48, V48 == V52, V52 == V55, V55 == V59, V59 == V61, V61 == V65, V65 == V72, V72 == V75, V75 == V83, V83 == V87, V87 == V90, V90 == V95, V95 == V99, V99 == V102, V102 == V106, V106 == V109, V109 == V113, V113 == V119; #590 ), references = 1, size of lhs = 15:
% 1.46/1.67 group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_4-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_3-{F}(V1), group_element-{F}(V2), product-{F}(V2,V2,V2), P_e_2-{F}(V2), group_element-{F}(V3), product-{F}(V3,V3,V3), P_e_1-{F}(V3), product-{F}(V2,V3,V1), product-{F}(V3,V3,V4), product-{F}(V4,V3,V3) | product-{T}(V0,V3,V3), product-{T}(V0,V3,V0)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #837: mergings( V0 == V4, V4 == V7, V7 == V11, V11 == V14, V14 == V18, V18 == V20, V20 == V30, V30 == V35, V35 == V39, V39 == V41, V41 == V45, V45 == V48, V48 == V52, V52 == V55, V55 == V61, V61 == V65, V65 == V68, V68 == V72, V72 == V75, V75 == V79, V79 == V80, V80 == V84, V84 == V88, V88 == V92, V92 == V96, V96 == V103, V103 == V110, V110 == V116, V116 == V120, V120 == V123, V5 == V8, V8 == V12, V12 == V15, V15 == V19, V19 == V21, V21 == V24, V24 == V27, V27 == V31, V31 == V36, V36 == V40, V40 == V42, V42 == V46, V46 == V49, V49 == V56, V56 == V62, V62 == V66, V66 == V69, V69 == V76, V76 == V78, V78 == V81, V81 == V85, V85 == V93, V93 == V97, V97 == V100, V100 == V104, V104 == V107, V107 == V111, V111 == V114, V114 == V117, V117 == V121, V121 == V124, V124 == V127, V1 == V6, V6 == V9, V9 == V16, V16 == V22, V22 == V25, V25 == V32, V32 == V34, V34 == V37, V37 == V43, V43 == V50, V50 == V53, V53 == V57, V57 == V59, V59 == V63, V63 == V67, V67 == V70, V70 == V73, V73 == V77, V77 == V82, V82 == V86, V86 == V89, V89 == V94, V94 == V98, V98 == V101, V101 == V105, V105 == V108, V108 == V112, V112 == V115, V115 == V118, V118 == V122, V122 == V125, V125 == V128, V2 == V3, V3 == V10, V10 == V13, V13 == V17, V17 == V23, V23 == V26, V26 == V28, V28 == V29, V29 == V33, V33 == V38, V38 == V44, V44 == V47, V47 == V51, V51 == V54, V54 == V58, V58 == V60, V60 == V64, V64 == V71, V71 == V74, V74 == V83, V83 == V87, V87 == V90, V90 == V95, V95 == V99, V99 == V102, V102 == V106, V106 == V109, V109 == V113, V113 == V119, V119 == V126, V126 == V129; #711 ), references = 1, size of lhs = 15:
% 1.46/1.67 group_element-{F}(V0), P_e_4-{F}(V0), product-{F}(V0,V0,V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_3-{F}(V1), group_element-{F}(V2), product-{F}(V2,V2,V2), P_e_2-{F}(V2), group_element-{F}(V3), product-{F}(V3,V3,V3), product-{F}(V2,V3,V1), P_e_1-{F}(V3), product-{F}(V3,V3,V4), product-{F}(V4,V3,V3) | product-{T}(V0,V3,V3)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #990: mergings( V0 == V6, V6 == V10, V10 == V13, V13 == V20, V20 == V23, V23 == V26, V26 == V30, V30 == V33, V33 == V37, V37 == V39, V39 == V49, V49 == V54, V54 == V58, V58 == V60, V60 == V64, V64 == V67, V67 == V71, V71 == V74, V74 == V80, V80 == V84, V84 == V87, V87 == V91, V91 == V94, V94 == V4, V4 == V98, V98 == V102, V102 == V106, V106 == V110, V110 == V114, V114 == V121, V121 == V128, V128 == V134, V134 == V138, V138 == V140, V140 == V147, V147 == V151, V1 == V5, V5 == V7, V7 == V14, V14 == V17, V17 == V24, V24 == V27, V27 == V31, V31 == V34, V34 == V38, V38 == V40, V40 == V43, V43 == V46, V46 == V50, V50 == V55, V55 == V59, V59 == V61, V61 == V65, V65 == V68, V68 == V75, V75 == V81, V81 == V85, V85 == V88, V88 == V95, V95 == V97, V97 == V99, V99 == V103, V103 == V111, V111 == V115, V115 == V118, V118 == V122, V122 == V125, V125 == V129, V129 == V132, V132 == V135, V135 == V141, V141 == V144, V144 == V148, V148 == V152, V8 == V11, V11 == V15, V15 == V18, V18 == V2, V2 == V25, V25 == V28, V28 == V35, V35 == V41, V41 == V44, V44 == V51, V51 == V53, V53 == V56, V56 == V62, V62 == V69, V69 == V72, V72 == V76, V76 == V78, V78 == V82, V82 == V86, V86 == V89, V89 == V92, V92 == V96, V96 == V100, V100 == V104, V104 == V107, V107 == V112, V112 == V116, V116 == V119, V119 == V123, V123 == V126, V126 == V130, V130 == V133, V133 == V136, V136 == V139, V139 == V142, V142 == V145, V145 == V149, V149 == V153, V3 == V9, V9 == V12, V12 == V16, V16 == V19, V19 == V21, V21 == V22, V22 == V29, V29 == V32, V32 == V36, V36 == V42, V42 == V45, V45 == V47, V47 == V48, V48 == V52, V52 == V57, V57 == V63, V63 == V66, V66 == V70, V70 == V73, V73 == V77, V77 == V79, V79 == V83, V83 == V90, V90 == V93, V93 == V101, V101 == V105, V105 == V108, V108 == V113, V113 == V117, V117 == V120, V120 == V124, V124 == V127, V127 == V131, V131 == V137, V137 == V143, V143 == V146, V146 == V150; #840 ), references = 1, size of lhs = 14:
% 1.46/1.67 group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_4-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_3-{F}(V1), group_element-{F}(V2), product-{F}(V2,V2,V2), P_e_2-{F}(V2), group_element-{F}(V3), P_e_1-{F}(V3), product-{F}(V3,V3,V3), product-{F}(V3,V3,V4), product-{F}(V4,V3,V3) | product-{T}(V2,V3,V0)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #1012: mergings( V0 == V6, V6 == V10, V10 == V4, V4 == V14, V14 == V18, V7 == V11, V11 == V1, V1 == V15, V15 == V19, V2 == V8, V8 == V12, V12 == V13, V13 == V16, V3 == V5, V5 == V9, V9 == V17, V17 == V20; #994 ), references = 1, size of lhs = 10:
% 1.46/1.67 group_element-{F}(V0), P_e_4-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_1-{F}(V1), group_element-{F}(V2), product-{F}(V2,V2,V2), P_e_3-{F}(V2), P_e_2-{F}(V3), product-{F}(V3,V1,V0) | product-{T}(V0,V1,V2), product-{T}(V0,V1,V0)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #1031: 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; #1015 ), references = 1, size of lhs = 8:
% 1.46/1.67 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,V4), P_e_4-{F}(V4) | product-{T}(V1,V0,V3), product-{T}(V1,V0,V1)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #1057: mergings( V0 == V4, V4 == V6, V6 == V10, V10 == V13, V13 == V17, V17 == V20, V1 == V7, V7 == V11, V11 == V14, V14 == V18, V18 == V21, V21 == V24, V2 == V5, V5 == V8, V8 == V15, V15 == V22, V22 == V25, V3 == V9, V9 == V12, V12 == V16, V16 == V19, V19 == V23, V23 == V26; #1033 ), references = 1, size of lhs = 9:
% 1.46/1.67 group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_3-{F}(V1), product-{F}(V1,V1,V1), P_e_2-{F}(V2), product-{F}(V2,V0,V3), P_e_4-{F}(V3) | product-{T}(V1,V0,V2)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #1077: 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; #1060 ), references = 1, size of lhs = 8:
% 1.46/1.67 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)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #1096: mergings( V0 == V6, V6 == V10, V10 == V13, V13 == V17, V1 == V7, V7 == V11, V11 == V14, V14 == V18, V2 == V8, V8 == V12, V12 == V15, V15 == V19, V3 == V5, V5 == V9, V9 == V16; #1080 ), references = 1, size of lhs = 8:
% 1.46/1.67 group_element-{F}(V0), group_element-{F}(V1), P_e_4-{F}(V1), P_e_1-{F}(V2), product-{F}(V2,V0,V2), P_e_2-{F}(V3), P_e_3-{F}(V4), product-{F}(V4,V0,V3) | product-{T}(V1,V0,V4), product-{T}(V1,V0,V1)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #1123: 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 == V8, V8 == V12, V12 == V15, V15 == V19, V19 == V22, V22 == V26, V3 == V5, V5 == V9, V9 == V16, V16 == V23; #1099 ), references = 1, size of lhs = 9:
% 1.46/1.67 group_element-{F}(V0), group_element-{F}(V1), P_e_4-{F}(V1), P_e_1-{F}(V2), product-{F}(V2,V0,V2), P_e_2-{F}(V3), product-{F}(V3,V0,V1), P_e_3-{F}(V4), product-{F}(V4,V0,V3) | product-{T}(V1,V0,V4)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #1147: mergings( V0 == V4, V4 == V6, V6 == V10, V10 == V13, V13 == V17, V17 == V20, V1 == V7, V7 == V11, V11 == V14, V14 == V18, V18 == V21, V21 == V24, V2 == V8, V8 == V12, V12 == V15, V15 == V19, V19 == V22, V22 == V25, V3 == V5, V5 == V9, V9 == V16, V16 == V23, V23 == V26; #1100 ), references = 1, size of lhs = 9:
% 1.46/1.67 group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_4-{F}(V1), product-{F}(V1,V1,V1), P_e_2-{F}(V2), P_e_3-{F}(V3), product-{F}(V3,V0,V2) | product-{T}(V1,V0,V3)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #1177: mergings( V6 == V10, V10 == V0, V0 == V16, V16 == V20, V1 == V4, V4 == V7, V7 == V11, V11 == V14, V14 == V17, V2 == V8, V8 == V12, V12 == V15, V15 == V18, V18 == V21, V3 == V5, V5 == V9, V9 == V13, V13 == V19, V19 == V22; #1156 ), references = 1, size of lhs = 8:
% 1.46/1.67 group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), P_e_4-{F}(V1), product-{F}(V1,V1,V1), P_e_1-{F}(V2), product-{F}(V0,V2,V1), P_e_3-{F}(V3) | product-{T}(V1,V0,V0), product-{T}(V1,V0,V3)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #1197: mergings( V0 == V6, V6 == V10, V10 == V14, V14 == V18, V18 == V22, V1 == V4, V4 == V7, V7 == V11, V11 == V19, V2 == V8, V8 == V12, V12 == V15, V15 == V20, V20 == V23, V3 == V9, V9 == V13, V13 == V16, V16 == V21, V21 == V24; #1154 ), references = 1, size of lhs = 9:
% 1.46/1.67 group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V2), product-{F}(V2,V2,V3), product-{F}(V0,V3,V1), P_e_3-{F}(V4), P_e_4-{F}(V5), product-{F}(V1,V5,V5) | product-{T}(V1,V0,V0), product-{T}(V1,V0,V4)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #1226: mergings( V5 == V9, V9 == V13, V13 == V16, V16 == V20, V20 == V23, V23 == V27, V0 == V3, V3 == V6, V6 == V10, V10 == V14, V14 == V17, V17 == V24, V1 == V7, V7 == V11, V11 == V15, V15 == V18, V18 == V21, V21 == V25, V25 == V28, V2 == V4, V4 == V8, V8 == V12, V12 == V19, V19 == V22, V22 == V26, V26 == V29; #1199 ), references = 1, size of lhs = 9:
% 1.46/1.67 group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_4-{F}(V1), P_e_1-{F}(V2), product-{F}(V0,V2,V1), product-{F}(V1,V2,V3), P_e_3-{F}(V3) | product-{T}(V1,V0,V0)
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #1393: mergings( V1 == V4, V4 == V7, V7 == V10, V10 == V13, V13 == V16, V16 == V20, V20 == V25, V25 == V29, V29 == V32, V32 == V34, V34 == V38, V38 == V39, V39 == V42, V42 == V44, V44 == V47, V47 == V48, V48 == V51, V51 == V52, V52 == V56, V56 == V59, V59 == V61, V61 == V64, V64 == V67, V67 == V70, V70 == V74, V74 == V75, V75 == V78, V78 == V82, V82 == V86, V86 == V91, V91 == V94, V94 == V96, V96 == V101, V101 == V107, V107 == V111, V111 == V114, V114 == V115, V115 == V120, V120 == V125, V125 == V128, V128 == V130, V130 == V133, V133 == V137, V137 == V140, V140 == V145, V145 == V148, V148 == V150, V150 == V154, V154 == V157, V2 == V5, V5 == V8, V8 == V11, V11 == V14, V14 == V17, V17 == V21, V21 == V26, V26 == V28, V28 == V30, V30 == V33, V33 == V35, V35 == V37, V37 == V40, V40 == V43, V43 == V45, V45 == V49, V49 == V53, V53 == V57, V57 == V62, V62 == V68, V68 == V71, V71 == V76, V76 == V79, V79 == V83, V83 == V87, V87 == V89, V89 == V92, V92 == V97, V97 == V99, V99 == V102, V102 == V104, V104 == V108, V108 == V110, V110 == V112, V112 == V116, V116 == V118, V118 == V119, V119 == V121, V121 == V123, V123 == V126, V126 == V129, V129 == V131, V131 == V136, V136 == V138, V138 == V141, V141 == V143, V143 == V146, V146 == V151, V151 == V155, V3 == V6, V6 == V9, V9 == V12, V12 == V15, V15 == V18, V18 == V19, V19 == V22, V22 == V23, V23 == V24, V24 == V27, V27 == V31, V31 == V36, V36 == V41, V41 == V46, V46 == V50, V50 == V54, V54 == V55, V55 == V58, V58 == V60, V60 == V63, V63 == V65, V65 == V66, V66 == V69, V69 == V72, V72 == V73, V73 == V77, V77 == V80, V80 == V81, V81 == V84, V84 == V85, V85 == V88, V88 == V90, V90 == V93, V93 == V95, V95 == V98, V98 == V100, V100 == V103, V103 == V105, V105 == V106, V106 == V109, V109 == V113, V113 == V117, V117 == V122, V122 == V124, V124 == V127, V127 == V132, V132 == V134, V134 == V135, V135 == V139, V139 == V142, V142 == V144, V144 == V147, V147 == V149, V149 == V152, V152 == V153, V153 == V156, V156 == V158; #1237 ), references = 1, size of lhs = 6:
% 1.46/1.67 group_element-{F}(V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_3-{F}(V1), group_element-{F}(V2), P_e_2-{F}(V2) | FALSE
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #1496: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V20, V20 == V22, V22 == V24, V24 == V27, V27 == V28, V28 == V30, V30 == V32, V32 == V34, V34 == V35, V35 == V37, V37 == V38, V38 == V40, V40 == V42, V42 == V43, V43 == V45, V45 == V46, V46 == V48, V48 == V50, V50 == V51, V51 == V53, V53 == V55, V55 == V57, V57 == V60, V60 == V62, V62 == V63, V63 == V66, V66 == V69, V69 == V72, V72 == V74, V74 == V75, V75 == V79, V79 == V82, V82 == V84, V84 == V86, V86 == V88, V88 == V90, V90 == V92, V92 == V95, V95 == V97, V97 == V98, V98 == V100, V100 == V102, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V26, V26 == V29, V29 == V31, V31 == V33, V33 == V36, V36 == V39, V39 == V41, V41 == V44, V44 == V47, V47 == V49, V49 == V52, V52 == V54, V54 == V56, V56 == V58, V58 == V59, V59 == V61, V61 == V64, V64 == V65, V65 == V67, V67 == V68, V68 == V70, V70 == V71, V71 == V73, V73 == V76, V76 == V77, V77 == V78, V78 == V80, V80 == V81, V81 == V83, V83 == V85, V85 == V87, V87 == V89, V89 == V91, V91 == V93, V93 == V94, V94 == V96, V96 == V99, V99 == V101; #1395 ), references = 1, size of lhs = 4:
% 1.46/1.67 group_element-{F}(V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1) | FALSE
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #1550: 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; #1498 ), references = 1, size of lhs = 2:
% 1.46/1.67 group_element-{F}(V0), P_e_1-{F}(V0) | FALSE
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 #1553: exists( #22, #1551 ), references = 1, size of lhs = 0:
% 1.46/1.67 FALSE | FALSE
% 1.46/1.67 (used 0 times, uses = {})
% 1.46/1.67
% 1.46/1.67 number of learnt formulas = 37
% 1.46/1.67
% 1.46/1.67
% 1.46/1.67 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.46/1.67
% 1.46/1.67 randbase = 1
%------------------------------------------------------------------------------