TSTP Solution File: GRP129-4.004 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP129-4.004 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 3.94s 4.10s
% Output : Refutation 3.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP129-4.004 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 13:39:25 EDT 2022
% 0.13/0.33 % CPUTime :
% 3.94/4.10 GeoParameters:
% 3.94/4.10
% 3.94/4.10 tptp_input = 1
% 3.94/4.10 tptp_output = 0
% 3.94/4.10 nonempty = 1
% 3.94/4.10 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.94/4.10 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 3.94/4.10
% 3.94/4.10
% 3.94/4.10 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.94/4.10 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.94/4.10
% 3.94/4.10 RuleSystem INPUT:
% 3.94/4.10
% 3.94/4.10 Initial Rules:
% 3.94/4.10 #0: input, references = 18, size of lhs = 6:
% 3.94/4.10 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}(V0,V5,V4), product-{T}(V1,V5,V4), product-{T}(V2,V5,V4), product-{T}(V3,V5,V4)
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #1: input, references = 3, size of lhs = 6:
% 3.94/4.10 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,V0,V4), product-{T}(V5,V1,V4), product-{T}(V5,V2,V4), product-{T}(V5,V3,V4)
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #2: input, references = 23, size of lhs = 6:
% 3.94/4.10 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}(V7,V5,V6) | product-{T}(V4,V7,V5)
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #3: input, references = 5, size of lhs = 6:
% 3.94/4.10 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}(V7,V5,V6)
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #4: input, references = 6, size of lhs = 4:
% 3.94/4.10 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3) | group_element-{T}(V0)
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #5: input, references = 4, size of lhs = 4:
% 3.94/4.10 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3) | group_element-{T}(V1)
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #6: input, references = 4, size of lhs = 4:
% 3.94/4.10 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3) | group_element-{T}(V2)
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #7: input, references = 4, size of lhs = 4:
% 3.94/4.10 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3) | group_element-{T}(V3)
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #8: input, references = 8, size of lhs = 5:
% 3.94/4.10 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
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #9: input, references = 11, size of lhs = 5:
% 3.94/4.10 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
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #10: input, references = 11, size of lhs = 5:
% 3.94/4.10 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
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #11: input, references = 3, size of lhs = 5:
% 3.94/4.10 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
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #12: input, references = 3, size of lhs = 5:
% 3.94/4.10 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
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #13: input, references = 6, size of lhs = 5:
% 3.94/4.10 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
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #14: input, references = 8, size of lhs = 5:
% 3.94/4.10 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
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #15: input, references = 5, size of lhs = 5:
% 3.94/4.10 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
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #16: input, references = 6, size of lhs = 5:
% 3.94/4.10 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
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #17: input, references = 5, size of lhs = 5:
% 3.94/4.10 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
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #18: input, references = 7, size of lhs = 5:
% 3.94/4.10 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
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #19: input, references = 9, size of lhs = 5:
% 3.94/4.10 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
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #20: input, references = 3, size of lhs = 6:
% 3.94/4.10 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)
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #21: input, references = 23, size of lhs = 6:
% 3.94/4.10 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)
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #22: input, references = 23, size of lhs = 6:
% 3.94/4.10 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)
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #23: input, references = 9, size of lhs = 6:
% 3.94/4.10 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)
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #24: input, references = 6, size of lhs = 6:
% 3.94/4.10 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)
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #25: input, references = 4, size of lhs = 0:
% 3.94/4.10 FALSE | EXISTS V0: P_e_1-{T}(V0)
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #26: input, references = 4, size of lhs = 0:
% 3.94/4.10 FALSE | EXISTS V0: P_e_2-{T}(V0)
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #27: input, references = 5, size of lhs = 0:
% 3.94/4.10 FALSE | EXISTS V0: P_e_3-{T}(V0)
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #28: input, references = 6, size of lhs = 0:
% 3.94/4.10 FALSE | EXISTS V0: P_e_4-{T}(V0)
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 number of initial rules = 29
% 3.94/4.10
% 3.94/4.10 Simplifiers:
% 3.94/4.10 #29: unsound, references = 3, size of lhs = 3:
% 3.94/4.10 P_e_1-{F}(V0), P_e_1-{F}(V1), V0 == V1 | FALSE
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #30: unsound, references = 3, size of lhs = 3:
% 3.94/4.10 P_e_2-{F}(V0), P_e_2-{F}(V1), V0 == V1 | FALSE
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #31: unsound, references = 3, size of lhs = 3:
% 3.94/4.10 P_e_3-{F}(V0), P_e_3-{F}(V1), V0 == V1 | FALSE
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #32: unsound, references = 3, size of lhs = 3:
% 3.94/4.10 P_e_4-{F}(V0), P_e_4-{F}(V1), V0 == V1 | FALSE
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 number of simplifiers = 4
% 3.94/4.10
% 3.94/4.10 Learnt:
% 3.94/4.10 #83: mergings( V0 == V4, V4 == V6, V6 == V12, V12 == V18, V1 == V18, V18 == V7, V7 == V13, V13 == V19, V2 == V8, V8 == V10, V10 == V14, V14 == V16, V16 == V20, V20 == V22, V3 == V9, V9 == V11, V11 == V15, V15 == V17, V17 == V21, V21 == V23; #36 ), references = 1, size of lhs = 6:
% 3.94/4.10 group_element-{F}(V0), P_e_1-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3) | product-{T}(V3,V1,V0)
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #104: mergings( V0 == V4, V4 == V6, V6 == V12, V12 == V18, V1 == V7, V7 == V10, V10 == V13, V13 == V16, V16 == V19, V19 == V22, V2 == V18, V18 == V8, V8 == V14, V14 == V20, V3 == V9, V9 == V11, V11 == V15, V15 == V17, V17 == V21, V21 == V23; #49 ), references = 2, size of lhs = 6:
% 3.94/4.10 group_element-{F}(V0), P_e_1-{F}(V0), P_e_3-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V2), P_e_4-{F}(V3) | product-{T}(V3,V1,V0)
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #125: mergings( V0 == V4, V4 == V6, V6 == V12, V12 == V18, V1 == V7, V7 == V10, V10 == V13, V13 == V16, V16 == V19, V19 == V22, V2 == V8, V8 == V11, V11 == V14, V14 == V17, V17 == V20, V20 == V23, V3 == V18, V18 == V9, V9 == V15, V15 == V21; #62 ), references = 1, size of lhs = 6:
% 3.94/4.10 group_element-{F}(V0), P_e_1-{F}(V0), P_e_4-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3) | product-{T}(V0,V1,V0)
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #157: mergings( V3 == V6, V6 == V7, V7 == V11, V11 == V15, V15 == V19, V1 == V4, V4 == V19, V19 == V8, V8 == V12, V12 == V16, V16 == V20, V2 == V5, V5 == V9, V9 == V10, V10 == V13, V13 == V14, V14 == V17, V17 == V18, V18 == V21, V21 == V22; #135 ), references = 1, size of lhs = 3:
% 3.94/4.10 P_e_1-{F}(V0), P_e_2-{F}(V0), P_e_3-{F}(V1) | FALSE
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #170: mergings( V2 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V11, V1 == V3, V3 == V11, V11 == V6, V6 == V8, V8 == V10, V10 == V12; #158 ), references = 1, size of lhs = 2:
% 3.94/4.10 P_e_1-{F}(V0), P_e_2-{F}(V0) | FALSE
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #188: mergings( V3 == V5, V1 == V4, V4 == V6, V6 == V8, V2 == V5, V5 == V7; #180 ), references = 1, size of lhs = 3:
% 3.94/4.10 P_e_1-{F}(V0), P_e_3-{F}(V0), P_e_2-{F}(V1) | FALSE
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #208: mergings( V0 == V6, V6 == V10, V10 == V12, V12 == V16, V1 == V7, V7 == V11, V11 == V13, V13 == V17, V8 == V2, V2 == V14, V14 == V3, V9 == V15, V15 == V3; #191 ), references = 2, size of lhs = 6:
% 3.94/4.10 group_element-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V2), P_e_2-{F}(V3), P_e_3-{F}(V4), P_e_4-{F}(V4) | product-{T}(V2,V1,V0), product-{T}(V3,V1,V0)
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #222: mergings( V0 == V6, V6 == V10, V10 == V12, V12 == V16, V1 == V7, V7 == V11, V11 == V13, V13 == V17, V8 == V2, V2 == V14, V14 == V3, V9 == V15, V15 == V3; #192 ), references = 1, size of lhs = 6:
% 3.94/4.10 group_element-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V2), P_e_2-{F}(V3), P_e_3-{F}(V4), P_e_4-{F}(V4) | product-{T}(V2,V1,V0), product-{T}(V3,V1,V0)
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #236: mergings( V0 == V6, V6 == V10, V10 == V12, V12 == V16, V1 == V7, V7 == V11, V11 == V13, V13 == V17, V8 == V2, V2 == V14, V14 == V3, V9 == V15, V15 == V3; #193 ), references = 1, size of lhs = 6:
% 3.94/4.10 group_element-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V2), P_e_2-{F}(V3), P_e_3-{F}(V4), P_e_4-{F}(V4) | product-{T}(V2,V1,V0), product-{T}(V3,V1,V0)
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #248: mergings( V2 == V5, V5 == V9, V3 == V6, V6 == V10, V1 == V4, V4 == V7, V7 == V8; #239 ), references = 1, size of lhs = 6:
% 3.94/4.10 group_element-{F}(V0), group_element-{F}(V1), P_e_3-{F}(V1), P_e_4-{F}(V1), P_e_1-{F}(V2), P_e_2-{F}(V3) | product-{T}(V3,V1,V0)
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #289: mergings( V0 == V4, V4 == V5, V5 == V9, V9 == V11, V11 == V15, V15 == V21, V21 == V25, V6 == V1, V1 == V12, V12 == V16, V16 == V19, V19 == V22, V22 == V3, V2 == V7, V7 == V10, V10 == V13, V13 == V17, V17 == V23, V23 == V26, V8 == V14, V14 == V18, V18 == V20, V20 == V24, V24 == V3; #261 ), references = 1, size of lhs = 6:
% 3.94/4.10 group_element-{F}(V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_3-{F}(V1), P_e_2-{F}(V2), P_e_4-{F}(V2) | product-{T}(V0,V1,V0)
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #311: mergings( V0 == V6, V6 == V10, V10 == V12, V12 == V16, V7 == V1, V1 == V13, V13 == V3, V2 == V8, V8 == V11, V11 == V14, V14 == V17, V9 == V15, V15 == V3; #294 ), references = 1, size of lhs = 6:
% 3.94/4.10 group_element-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V2), P_e_2-{F}(V3), P_e_4-{F}(V3), P_e_3-{F}(V4) | product-{T}(V2,V1,V0), product-{T}(V4,V1,V0)
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #325: mergings( V0 == V6, V6 == V10, V10 == V12, V12 == V16, V7 == V1, V1 == V13, V13 == V3, V2 == V8, V8 == V11, V11 == V14, V14 == V17, V9 == V15, V15 == V3; #295 ), references = 1, size of lhs = 6:
% 3.94/4.10 group_element-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V2), P_e_2-{F}(V3), P_e_4-{F}(V3), P_e_3-{F}(V4) | product-{T}(V2,V1,V0), product-{T}(V4,V1,V0)
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #339: mergings( V0 == V6, V6 == V10, V10 == V12, V12 == V16, V7 == V1, V1 == V13, V13 == V3, V2 == V8, V8 == V11, V11 == V14, V14 == V17, V9 == V15, V15 == V3; #296 ), references = 1, size of lhs = 6:
% 3.94/4.10 group_element-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V2), P_e_2-{F}(V3), P_e_4-{F}(V3), P_e_3-{F}(V4) | product-{T}(V2,V1,V0), product-{T}(V4,V1,V0)
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #363: mergings( V0 == V3, V3 == V4, V4 == V8, V8 == V11, V11 == V15, V15 == V18, V5 == V9, V9 == V12, V12 == V16, V16 == V19, V19 == V22, V1 == V6, V6 == V10, V10 == V13, V13 == V17, V17 == V20, V20 == V23, V7 == V14, V14 == V22, V22 == V21, V21 == V24; #341 ), references = 1, size of lhs = 7:
% 3.94/4.10 group_element-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V1), P_e_2-{F}(V2), P_e_4-{F}(V2), P_e_3-{F}(V3), product-{F}(V1,V3,V0) | product-{T}(V3,V1,V0)
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #396: 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; #380 ), references = 1, size of lhs = 8:
% 3.94/4.10 group_element-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), P_e_1-{F}(V2), product-{F}(V2,V2,V0), P_e_3-{F}(V3), product-{F}(V1,V3,V0), P_e_4-{F}(V4) | product-{T}(V3,V1,V0), product-{T}(V4,V1,V0)
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #421: mergings( V0 == V6, V6 == V10, V10 == V13, V13 == V17, V17 == V20, V20 == V24, V1 == V5, V5 == V7, V7 == V14, V14 == V21, V2 == V8, V8 == V11, V11 == V15, V15 == V18, V18 == V22, V22 == V25, V3 == V9, V9 == V12, V12 == V16, V16 == V19, V19 == V23, V23 == V26; #398 ), references = 1, size of lhs = 9:
% 3.94/4.10 group_element-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), P_e_1-{F}(V2), product-{F}(V2,V2,V0), P_e_3-{F}(V3), product-{F}(V1,V3,V0), P_e_4-{F}(V4), product-{F}(V3,V4,V0) | product-{T}(V4,V1,V0)
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #469: mergings( V0 == V6, V6 == V10, V10 == V4, V4 == V13, V13 == V17, V17 == V20, V20 == V24, V24 == V27, V27 == V31, V31 == V33, V33 == V37, V37 == V40, V7 == V11, V11 == V14, V14 == V1, V1 == V21, V21 == V28, V28 == V34, V34 == V41, V41 == V44, V2 == V5, V5 == V8, V8 == V15, V15 == V18, V18 == V22, V22 == V25, V25 == V29, V29 == V35, V35 == V38, V38 == V42, V3 == V9, V9 == V12, V12 == V16, V16 == V19, V19 == V23, V23 == V26, V26 == V30, V30 == V32, V32 == V36, V36 == V39, V39 == V43, V43 == V45; #426 ), references = 1, size of lhs = 9:
% 3.94/4.10 group_element-{F}(V0), P_e_3-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_1-{F}(V1), group_element-{F}(V2), P_e_2-{F}(V2), P_e_4-{F}(V3), product-{F}(V0,V3,V1) | product-{T}(V0,V0,V1), product-{T}(V3,V0,V1)
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #530: mergings( V0 == V4, V4 == V8, V8 == V11, V11 == V12, V12 == V16, V16 == V20, V20 == V24, V24 == V27, V27 == V31, V31 == V33, V33 == V37, V37 == V40, V40 == V46, V46 == V50, V50 == V54, V54 == V58, V5 == V9, V9 == V13, V13 == V19, V19 == V21, V21 == V28, V28 == V34, V34 == V41, V41 == V44, V44 == V47, V47 == V51, V51 == V55, V55 == V59, V1 == V3, V3 == V6, V6 == V14, V14 == V17, V17 == V22, V22 == V25, V25 == V29, V29 == V35, V35 == V38, V38 == V42, V42 == V48, V48 == V52, V52 == V56, V7 == V10, V10 == V15, V15 == V18, V18 == V23, V23 == V26, V26 == V30, V30 == V32, V32 == V36, V36 == V39, V39 == V43, V43 == V45, V45 == V49, V49 == V53, V53 == V57, V57 == V2; #473 ), references = 1, size of lhs = 9:
% 3.94/4.10 group_element-{F}(V0), P_e_3-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_1-{F}(V1), group_element-{F}(V2), P_e_2-{F}(V2), P_e_4-{F}(V3), product-{F}(V0,V3,V1) | product-{T}(V0,V0,V1)
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #604: mergings( V0 == V5, V5 == V6, V6 == V10, V10 == V4, V4 == V13, V13 == V17, V17 == V19, V19 == V23, V23 == V26, V26 == V30, V30 == V32, V32 == V36, V36 == V38, V38 == V44, V44 == V48, V48 == V52, V52 == V56, V56 == V58, V58 == V62, V62 == V64, V64 == V68, V1 == V7, V7 == V11, V11 == V14, V14 == V18, V18 == V20, V20 == V27, V27 == V33, V33 == V39, V39 == V42, V42 == V45, V45 == V49, V49 == V53, V53 == V57, V57 == V59, V59 == V63, V63 == V65, V65 == V69, V69 == V72, V2 == V8, V8 == V15, V15 == V21, V21 == V24, V24 == V28, V28 == V34, V34 == V37, V37 == V40, V40 == V46, V46 == V50, V50 == V54, V54 == V60, V60 == V66, V66 == V70, V70 == V73, V3 == V9, V9 == V12, V12 == V16, V16 == V22, V22 == V25, V25 == V29, V29 == V31, V31 == V35, V35 == V41, V41 == V43, V43 == V47, V47 == V51, V51 == V55, V55 == V61, V61 == V67, V67 == V71; #533 ), references = 1, size of lhs = 9:
% 3.94/4.10 group_element-{F}(V0), P_e_4-{F}(V0), group_element-{F}(V1), P_e_3-{F}(V1), group_element-{F}(V2), product-{F}(V2,V2,V2), P_e_1-{F}(V2), group_element-{F}(V3), P_e_2-{F}(V3) | product-{T}(V2,V0,V2), product-{T}(V3,V0,V2)
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #627: mergings( V0 == V4, V4 == V5, V5 == V9, V9 == V12, V12 == V16, V1 == V6, V6 == V10, V10 == V13, V13 == V17, V17 == V20, V2 == V7, V7 == V14, V14 == V18, V3 == V8, V8 == V11, V11 == V15, V15 == V19, V19 == V21; #608 ), references = 1, size of lhs = 7:
% 3.94/4.10 group_element-{F}(V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_3-{F}(V1), P_e_2-{F}(V2), P_e_4-{F}(V3), product-{F}(V2,V3,V0) | product-{T}(V0,V1,V0), product-{T}(V3,V1,V0)
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #647: 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; #630 ), references = 1, size of lhs = 8:
% 3.94/4.10 group_element-{F}(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}(V1,V3,V0), product-{F}(V2,V1,V3) | product-{T}(V0,V1,V0), product-{T}(V3,V1,V0)
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #673: mergings( V0 == V4, V4 == V6, V6 == V10, V10 == V13, V13 == V20, V20 == V24, V1 == V5, V5 == V7, V7 == V14, V14 == V17, V17 == V21, V2 == V8, V8 == V11, V11 == V15, V15 == V18, V18 == V22, V22 == V25, V3 == V9, V9 == V12, V12 == V16, V16 == V19, V19 == V23, V23 == V26; #649 ), references = 1, size of lhs = 9:
% 3.94/4.10 group_element-{F}(V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), P_e_3-{F}(V2), product-{F}(V2,V1,V3), product-{F}(V1,V3,V0), product-{F}(V3,V2,V0), P_e_4-{F}(V3) | product-{T}(V0,V1,V0)
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #729: mergings( V0 == V5, V5 == V9, V9 == V3, V3 == V12, V12 == V16, V16 == V22, V22 == V26, V26 == V29, V29 == V33, V33 == V36, V36 == V42, V42 == V46, V46 == V48, V48 == V52, V1 == V6, V6 == V10, V10 == V13, V13 == V17, V17 == V20, V20 == V23, V23 == V27, V27 == V28, V28 == V30, V30 == V37, V37 == V40, V40 == V43, V43 == V49, V4 == V7, V7 == V14, V14 == V18, V18 == V24, V24 == V31, V31 == V34, V34 == V38, V38 == V41, V41 == V44, V44 == V50, V50 == V53, V8 == V11, V11 == V15, V15 == V19, V19 == V21, V21 == V25, V25 == V32, V32 == V35, V35 == V39, V39 == V2, V2 == V45, V45 == V47, V47 == V51, V51 == V54; #677 ), references = 1, size of lhs = 9:
% 3.94/4.10 group_element-{F}(V0), P_e_3-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V1), product-{F}(V1,V1,V1), group_element-{F}(V2), P_e_2-{F}(V2), P_e_4-{F}(V3), product-{F}(V2,V3,V1) | product-{T}(V1,V0,V1)
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #858: mergings( V0 == V3, V3 == V5, V5 == V9, V9 == V12, V12 == V13, V13 == V17, V17 == V19, V19 == V23, V23 == V26, V26 == V30, V30 == V32, V32 == V36, V36 == V38, V38 == V44, V44 == V48, V48 == V52, V52 == V56, V56 == V58, V58 == V62, V62 == V64, V64 == V68, V68 == V74, V74 == V76, V76 == V80, V80 == V82, V82 == V86, V86 == V92, V92 == V96, V96 == V97, V97 == V101, V101 == V103, V103 == V109, V109 == V113, V113 == V115, V115 == V119, V119 == V122, V122 == V126, V6 == V10, V10 == V14, V14 == V18, V18 == V20, V20 == V27, V27 == V33, V33 == V39, V39 == V42, V42 == V45, V45 == V49, V49 == V53, V53 == V57, V57 == V59, V59 == V63, V63 == V65, V65 == V69, V69 == V72, V72 == V77, V77 == V81, V81 == V83, V83 == V87, V87 == V90, V90 == V93, V93 == V1, V1 == V98, V98 == V104, V104 == V107, V107 == V110, V110 == V116, V116 == V123, V123 == V127, V4 == V7, V7 == V15, V15 == V21, V21 == V24, V24 == V28, V28 == V34, V34 == V37, V37 == V40, V40 == V46, V46 == V50, V50 == V54, V54 == V60, V60 == V66, V66 == V70, V70 == V73, V73 == V75, V75 == V78, V78 == V84, V84 == V88, V88 == V94, V94 == V99, V99 == V102, V102 == V105, V105 == V108, V108 == V111, V111 == V117, V117 == V120, V120 == V124, V2 == V8, V8 == V11, V11 == V16, V16 == V22, V22 == V25, V25 == V29, V29 == V31, V31 == V35, V35 == V41, V41 == V43, V43 == V47, V47 == V51, V51 == V55, V55 == V61, V61 == V67, V67 == V71, V71 == V79, V79 == V85, V85 == V89, V89 == V91, V91 == V95, V95 == V100, V100 == V106, V106 == V112, V112 == V114, V114 == V118, V118 == V121, V121 == V125, V125 == V128; #732 ), references = 1, size of lhs = 9:
% 3.94/4.10 group_element-{F}(V0), P_e_4-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V1), product-{F}(V1,V1,V1), group_element-{F}(V2), P_e_3-{F}(V2), group_element-{F}(V3), P_e_2-{F}(V3) | product-{T}(V1,V0,V1)
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #911: mergings( V0 == V6, V6 == V10, V10 == V14, V14 == V18, V18 == V21, V21 == V25, V25 == V29, V29 == V33, V33 == V36, V36 == V40, V40 == V44, V44 == V48, V1 == V7, V7 == V11, V11 == V15, V15 == V19, V19 == V22, V22 == V26, V26 == V30, V30 == V34, V34 == V37, V37 == V41, V41 == V45, V45 == V49, V2 == V8, V8 == V12, V12 == V16, V16 == V20, V20 == V23, V23 == V27, V27 == V31, V31 == V35, V35 == V38, V38 == V42, V42 == V46, V46 == V50, V3 == V5, V5 == V9, V9 == V13, V13 == V17, V17 == V24, V24 == V28, V28 == V32, V32 == V39, V39 == V43, V43 == V47; #864 ), references = 1, size of lhs = 8:
% 3.94/4.10 group_element-{F}(V0), group_element-{F}(V1), product-{F}(V1,V0,V0), P_e_4-{F}(V1), P_e_1-{F}(V2), product-{F}(V1,V0,V2), P_e_2-{F}(V3), P_e_3-{F}(V4) | product-{T}(V1,V1,V0)
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #1092: mergings( V7 == V13, V13 == V18, V18 == V24, V24 == V28, V28 == V30, V30 == V34, V34 == V36, V36 == V42, V42 == V46, V46 == V50, V50 == V54, V54 == V56, V56 == V60, V60 == V62, V62 == V66, V66 == V73, V73 == V77, V77 == V79, V79 == V83, V83 == V89, V89 == V0, V0 == V94, V94 == V98, V98 == V100, V100 == V106, V106 == V110, V110 == V112, V112 == V118, V118 == V124, V124 == V130, V130 == V4, V4 == V133, V133 == V137, V137 == V141, V141 == V147, V147 == V151, V151 == V155, V155 == V161, V161 == V165, V165 == V169, V169 == V175, V1 == V8, V8 == V11, V11 == V14, V14 == V17, V17 == V19, V19 == V25, V25 == V31, V31 == V37, V37 == V40, V40 == V43, V43 == V47, V47 == V51, V51 == V55, V55 == V57, V57 == V61, V61 == V63, V63 == V67, V67 == V70, V70 == V74, V74 == V78, V78 == V80, V80 == V84, V84 == V87, V87 == V90, V90 == V93, V93 == V95, V95 == V101, V101 == V104, V104 == V107, V107 == V113, V113 == V119, V119 == V122, V122 == V125, V125 == V128, V128 == V131, V131 == V134, V134 == V138, V138 == V142, V142 == V145, V145 == V148, V148 == V152, V152 == V156, V156 == V159, V159 == V162, V162 == V166, V166 == V170, V170 == V173, V173 == V176, V176 == V179, V2 == V6, V6 == V9, V9 == V15, V15 == V20, V20 == V22, V22 == V26, V26 == V32, V32 == V35, V35 == V38, V38 == V44, V44 == V48, V48 == V52, V52 == V58, V58 == V64, V64 == V68, V68 == V71, V71 == V72, V72 == V75, V75 == V81, V81 == V85, V85 == V91, V91 == V96, V96 == V99, V99 == V102, V102 == V105, V105 == V108, V108 == V114, V114 == V116, V116 == V120, V120 == V126, V126 == V129, V129 == V132, V132 == V135, V135 == V139, V139 == V143, V143 == V146, V146 == V149, V149 == V153, V153 == V157, V157 == V160, V160 == V163, V163 == V167, V167 == V171, V171 == V174, V174 == V177, V177 == V180, V5 == V10, V10 == V12, V12 == V16, V16 == V21, V21 == V23, V23 == V27, V27 == V29, V29 == V33, V33 == V39, V39 == V41, V41 == V45, V45 == V49, V49 == V53, V53 == V59, V59 == V65, V65 == V69, V69 == V76, V76 == V82, V82 == V86, V86 == V88, V88 == V92, V92 == V97, V97 == V103, V103 == V109, V109 == V111, V111 == V115, V115 == V117, V117 == V121, V121 == V123, V123 == V127, V127 == V3, V3 == V136, V136 == V140, V140 == V144, V144 == V150, V150 == V154, V154 == V158, V158 == V164, V164 == V168, V168 == V172, V172 == V178; #914 ), references = 1, size of lhs = 8:
% 3.94/4.10 group_element-{F}(V0), P_e_3-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), group_element-{F}(V2), P_e_1-{F}(V2), group_element-{F}(V3), P_e_4-{F}(V3) | product-{T}(V1,V2,V2), product-{T}(V0,V2,V2)
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #1125: mergings( V0 == V4, V4 == V5, V5 == V9, V9 == V13, V13 == V20, V20 == V24, V1 == V6, V6 == V10, V10 == V14, V14 == V17, V17 == V21, V21 == V25, V25 == V28, V2 == V7, V7 == V11, V11 == V15, V15 == V18, V18 == V22, V22 == V26, V26 == V29, V3 == V8, V8 == V12, V12 == V16, V16 == V19, V19 == V23, V23 == V27; #1098 ), references = 1, size of lhs = 7:
% 3.94/4.10 group_element-{F}(V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_4-{F}(V1), P_e_2-{F}(V2), P_e_3-{F}(V3), product-{F}(V3,V0,V0) | product-{T}(V2,V1,V0), product-{T}(V3,V1,V0)
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #1154: mergings( V0 == V4, V4 == V6, V6 == V10, V10 == V14, V14 == V21, V21 == V25, V1 == V7, V7 == V11, V11 == V15, V15 == V18, V18 == V22, V22 == V26, V2 == V5, V5 == V8, V8 == V12, V12 == V16, V16 == V23, V3 == V9, V9 == V13, V13 == V17, V17 == V19, V19 == V24, V24 == V27; #1130 ), references = 1, size of lhs = 8:
% 3.94/4.10 group_element-{F}(V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_3-{F}(V1), product-{F}(V1,V2,V0), P_e_2-{F}(V3), P_e_4-{F}(V4), product-{F}(V3,V4,V0) | product-{T}(V1,V1,V0), product-{T}(V4,V1,V0)
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #1197: mergings( V0 == V4, V4 == V6, V6 == V10, V10 == V14, V14 == V21, V21 == V25, V25 == V28, V28 == V32, V32 == V36, V36 == V40, V1 == V7, V7 == V11, V11 == V15, V15 == V18, V18 == V22, V22 == V26, V26 == V29, V29 == V33, V33 == V37, V37 == V41, V2 == V5, V5 == V8, V8 == V12, V12 == V16, V16 == V23, V23 == V30, V30 == V34, V34 == V38, V3 == V9, V9 == V13, V13 == V17, V17 == V19, V19 == V24, V24 == V27, V27 == V31, V31 == V35, V35 == V39, V39 == V42; #1158 ), references = 1, size of lhs = 9:
% 3.94/4.10 group_element-{F}(V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_3-{F}(V1), product-{F}(V1,V0,V0), product-{F}(V1,V2,V0), P_e_2-{F}(V3), P_e_4-{F}(V4), product-{F}(V3,V4,V0) | product-{T}(V4,V1,V0)
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #1283: mergings( V0 == V5, V5 == V9, V9 == V13, V13 == V3, V3 == V20, V20 == V24, V24 == V30, V30 == V34, V34 == V38, V38 == V42, V42 == V49, V49 == V53, V53 == V55, V55 == V59, V59 == V63, V63 == V67, V67 == V70, V70 == V74, V74 == V78, V78 == V82, V6 == V10, V10 == V14, V14 == V17, V17 == V21, V21 == V25, V25 == V28, V28 == V1, V1 == V35, V35 == V39, V39 == V43, V43 == V46, V46 == V50, V50 == V54, V54 == V56, V56 == V60, V60 == V64, V64 == V68, V68 == V71, V71 == V75, V75 == V79, V79 == V83, V2 == V7, V7 == V11, V11 == V15, V15 == V18, V18 == V22, V22 == V26, V26 == V29, V29 == V31, V31 == V33, V33 == V36, V36 == V40, V40 == V44, V44 == V51, V51 == V57, V57 == V61, V61 == V65, V65 == V72, V72 == V76, V76 == V80, V4 == V8, V8 == V12, V12 == V16, V16 == V19, V19 == V23, V23 == V27, V27 == V32, V32 == V37, V37 == V41, V41 == V45, V45 == V47, V47 == V52, V52 == V58, V58 == V62, V62 == V66, V66 == V69, V69 == V73, V73 == V77, V77 == V81, V81 == V84; #1202 ), references = 1, size of lhs = 9:
% 3.94/4.10 group_element-{F}(V0), P_e_4-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V1), group_element-{F}(V2), P_e_3-{F}(V2), product-{F}(V2,V1,V1), product-{F}(V2,V3,V1), P_e_2-{F}(V4) | product-{T}(V2,V0,V1)
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #1546: mergings( V4 == V10, V10 == V15, V15 == V21, V21 == V25, V25 == V27, V27 == V31, V31 == V33, V33 == V39, V39 == V43, V43 == V47, V47 == V51, V51 == V53, V53 == V57, V57 == V59, V59 == V63, V63 == V70, V70 == V74, V74 == V76, V76 == V80, V80 == V86, V86 == V90, V90 == V92, V92 == V96, V96 == V98, V98 == V104, V104 == V108, V108 == V110, V110 == V116, V116 == V122, V122 == V128, V128 == V133, V133 == V137, V137 == V141, V141 == V147, V147 == V151, V151 == V155, V155 == V161, V161 == V165, V165 == V169, V169 == V175, V175 == V182, V182 == V186, V186 == V190, V190 == V131, V131 == V196, V196 == V200, V200 == V209, V209 == V213, V213 == V217, V217 == V223, V223 == V227, V227 == V229, V229 == V233, V233 == V237, V237 == V243, V243 == V247, V247 == V251, V251 == V257, V0 == V5, V5 == V8, V8 == V11, V11 == V14, V14 == V16, V16 == V22, V22 == V28, V28 == V34, V34 == V37, V37 == V40, V40 == V44, V44 == V48, V48 == V52, V52 == V54, V54 == V58, V58 == V60, V60 == V64, V64 == V67, V67 == V71, V71 == V75, V75 == V77, V77 == V81, V81 == V84, V84 == V87, V87 == V91, V91 == V93, V93 == V99, V99 == V102, V102 == V105, V105 == V111, V111 == V117, V117 == V120, V120 == V123, V123 == V126, V126 == V129, V129 == V134, V134 == V138, V138 == V142, V142 == V145, V145 == V148, V148 == V152, V152 == V156, V156 == V159, V159 == V162, V162 == V166, V166 == V170, V170 == V173, V173 == V176, V176 == V179, V179 == V183, V183 == V187, V187 == V191, V191 == V194, V194 == V197, V197 == V201, V201 == V204, V204 == V206, V206 == V210, V210 == V214, V214 == V218, V218 == V221, V221 == V224, V224 == V228, V228 == V230, V230 == V234, V234 == V238, V238 == V241, V241 == V244, V244 == V248, V248 == V252, V252 == V255, V255 == V258, V258 == V261, V3 == V6, V6 == V12, V12 == V17, V17 == V19, V19 == V23, V23 == V29, V29 == V32, V32 == V35, V35 == V41, V41 == V45, V45 == V49, V49 == V55, V55 == V61, V61 == V65, V65 == V68, V68 == V69, V69 == V72, V72 == V78, V78 == V82, V82 == V88, V88 == V94, V94 == V97, V97 == V100, V100 == V103, V103 == V106, V106 == V112, V112 == V114, V114 == V118, V118 == V124, V124 == V127, V127 == V130, V130 == V135, V135 == V139, V139 == V143, V143 == V146, V146 == V149, V149 == V153, V153 == V157, V157 == V160, V160 == V163, V163 == V167, V167 == V171, V171 == V174, V174 == V177, V177 == V180, V180 == V184, V184 == V188, V188 == V192, V192 == V198, V198 == V202, V202 == V205, V205 == V207, V207 == V1, V1 == V211, V211 == V215, V215 == V219, V219 == V225, V225 == V231, V231 == V235, V235 == V239, V239 == V245, V245 == V249, V249 == V253, V253 == V259, V259 == V262, V2 == V7, V7 == V9, V9 == V13, V13 == V18, V18 == V20, V20 == V24, V24 == V26, V26 == V30, V30 == V36, V36 == V38, V38 == V42, V42 == V46, V46 == V50, V50 == V56, V56 == V62, V62 == V66, V66 == V73, V73 == V79, V79 == V83, V83 == V85, V85 == V89, V89 == V95, V95 == V101, V101 == V107, V107 == V109, V109 == V113, V113 == V115, V115 == V119, V119 == V121, V121 == V125, V125 == V132, V132 == V136, V136 == V140, V140 == V144, V144 == V150, V150 == V154, V154 == V158, V158 == V164, V164 == V168, V168 == V172, V172 == V178, V178 == V181, V181 == V185, V185 == V189, V189 == V193, V193 == V195, V195 == V199, V199 == V203, V203 == V208, V208 == V212, V212 == V216, V216 == V220, V220 == V222, V222 == V226, V226 == V232, V232 == V236, V236 == V240, V240 == V242, V242 == V246, V246 == V250, V250 == V254, V254 == V256, V256 == V260; #1286 ), references = 1, size of lhs = 8:
% 3.94/4.10 group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), P_e_4-{F}(V1), group_element-{F}(V2), P_e_1-{F}(V2), group_element-{F}(V3), P_e_3-{F}(V3) | product-{T}(V0,V2,V2)
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #1574: 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 == V16, V16 == V20, V3 == V9, V9 == V13, V13 == V17, V17 == V21, V21 == V24; #1552 ), references = 1, size of lhs = 8:
% 3.94/4.10 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,V2,V0), P_e_4-{F}(V4), product-{F}(V1,V4,V2) | product-{T}(V1,V1,V0), product-{T}(V4,V1,V0)
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #1595: 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 == V16, V16 == V20, V3 == V9, V9 == V13, V13 == V17, V17 == V21, V21 == V24; #1553 ), references = 1, size of lhs = 8:
% 3.94/4.10 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,V2,V0), P_e_4-{F}(V4), product-{F}(V1,V4,V2) | product-{T}(V1,V1,V0), product-{T}(V4,V1,V0)
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #1625: 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 == V16, V16 == V20, V20 == V27, V3 == V9, V9 == V13, V13 == V17, V17 == V21, V21 == V24, V24 == V28, V28 == V31; #1597 ), references = 1, size of lhs = 9:
% 3.94/4.10 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,V2,V0), P_e_4-{F}(V4), product-{F}(V1,V4,V2), product-{F}(V1,V4,V0) | product-{T}(V4,V1,V0)
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #1680: mergings( V0 == V6, V6 == V10, V10 == V4, V4 == V14, V14 == V18, V18 == V22, V22 == V25, V25 == V29, V29 == V32, V32 == V36, V36 == V38, V38 == V42, V42 == V46, V46 == V50, V1 == V7, V7 == V11, V11 == V13, V13 == V15, V15 == V19, V19 == V23, V23 == V26, V26 == V30, V30 == V33, V33 == V37, V37 == V39, V39 == V43, V43 == V47, V47 == V51, V8 == V12, V12 == V2, V2 == V16, V16 == V20, V20 == V24, V24 == V27, V27 == V34, V34 == V40, V40 == V44, V44 == V48, V3 == V5, V5 == V9, V9 == V17, V17 == V21, V21 == V28, V28 == V31, V31 == V35, V35 == V41, V41 == V45, V45 == V49; #1631 ), references = 1, size of lhs = 8:
% 3.94/4.10 group_element-{F}(V0), P_e_4-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V1), group_element-{F}(V2), P_e_3-{F}(V2), P_e_2-{F}(V3), product-{F}(V3,V1,V1) | product-{T}(V1,V0,V1), product-{T}(V0,V0,V1)
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #1748: mergings( V0 == V4, V4 == V8, V8 == V11, V11 == V14, V14 == V18, V18 == V22, V22 == V25, V25 == V29, V29 == V32, V32 == V36, V36 == V38, V38 == V42, V42 == V46, V46 == V50, V50 == V52, V52 == V56, V56 == V60, V1 == V5, V5 == V9, V9 == V12, V12 == V15, V15 == V19, V19 == V23, V23 == V26, V26 == V30, V30 == V33, V33 == V37, V37 == V39, V39 == V43, V43 == V47, V47 == V51, V51 == V53, V53 == V57, V57 == V61, V61 == V64, V6 == V10, V10 == V13, V13 == V16, V16 == V20, V20 == V24, V24 == V27, V27 == V34, V34 == V40, V40 == V44, V44 == V48, V48 == V54, V54 == V58, V58 == V62, V62 == V65, V2 == V3, V3 == V7, V7 == V17, V17 == V21, V21 == V28, V28 == V31, V31 == V35, V35 == V41, V41 == V45, V45 == V49, V49 == V55, V55 == V59, V59 == V63, V63 == V66; #1684 ), references = 1, size of lhs = 8:
% 3.94/4.10 group_element-{F}(V0), P_e_4-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V1), group_element-{F}(V2), P_e_3-{F}(V2), P_e_2-{F}(V3), product-{F}(V3,V1,V1) | product-{T}(V0,V0,V1)
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #2011: mergings( V3 == V5, V5 == V7, V7 == V10, V10 == V14, V14 == V17, V17 == V21, V21 == V24, V24 == V25, V25 == V28, V28 == V30, V30 == V34, V34 == V37, V37 == V40, V40 == V43, V43 == V45, V45 == V48, V48 == V50, V50 == V53, V53 == V58, V58 == V61, V61 == V63, V63 == V66, V66 == V70, V70 == V73, V73 == V75, V75 == V78, V78 == V80, V80 == V85, V85 == V88, V88 == V89, V89 == V93, V93 == V97, V97 == V102, V102 == V105, V105 == V108, V108 == V111, V111 == V116, V116 == V119, V119 == V122, V122 == V127, V127 == V130, V130 == V133, V133 == V138, V138 == V143, V143 == V146, V146 == V149, V149 == V153, V153 == V156, V156 == V163, V163 == V166, V166 == V169, V169 == V173, V173 == V176, V176 == V178, V178 == V181, V181 == V184, V184 == V188, V188 == V191, V191 == V194, V194 == V198, V198 == V203, V203 == V208, V208 == V210, V210 == V213, V213 == V216, V216 == V218, V218 == V222, V222 == V225, V225 == V227, V227 == V230, V230 == V233, V233 == V236, V236 == V238, V238 == V241, V241 == V244, V244 == V249, V249 == V252, V1 == V6, V6 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V18, V18 == V22, V22 == V26, V26 == V31, V31 == V33, V33 == V35, V35 == V38, V38 == V41, V41 == V44, V44 == V46, V46 == V49, V49 == V51, V51 == V54, V54 == V56, V56 == V59, V59 == V62, V62 == V64, V64 == V67, V67 == V69, V69 == V71, V71 == V74, V74 == V76, V76 == V81, V81 == V83, V83 == V86, V86 == V90, V90 == V94, V94 == V96, V96 == V98, V98 == V100, V100 == V103, V103 == V106, V106 == V109, V109 == V112, V112 == V114, V114 == V117, V117 == V120, V120 == V123, V123 == V125, V125 == V128, V128 == V131, V131 == V134, V134 == V136, V136 == V139, V139 == V141, V141 == V144, V144 == V147, V147 == V150, V150 == V152, V152 == V154, V154 == V157, V157 == V159, V159 == V161, V161 == V164, V164 == V167, V167 == V170, V170 == V172, V172 == V174, V174 == V177, V177 == V179, V179 == V182, V182 == V185, V185 == V187, V187 == V189, V189 == V192, V192 == V195, V195 == V197, V197 == V199, V199 == V201, V201 == V204, V204 == V206, V206 == V211, V211 == V214, V214 == V219, V219 == V221, V221 == V223, V223 == V226, V226 == V228, V228 == V231, V231 == V234, V234 == V237, V237 == V239, V239 == V242, V242 == V245, V245 == V247, V247 == V250, V250 == V253, V253 == V255, V2 == V4, V4 == V9, V9 == V12, V12 == V16, V16 == V19, V19 == V20, V20 == V23, V23 == V27, V27 == V29, V29 == V32, V32 == V36, V36 == V39, V39 == V42, V42 == V47, V47 == V52, V52 == V55, V55 == V57, V57 == V60, V60 == V65, V65 == V68, V68 == V72, V72 == V77, V77 == V79, V79 == V82, V82 == V84, V84 == V87, V87 == V91, V91 == V92, V92 == V95, V95 == V99, V99 == V101, V101 == V104, V104 == V107, V107 == V110, V110 == V113, V113 == V115, V115 == V118, V118 == V121, V121 == V124, V124 == V126, V126 == V129, V129 == V132, V132 == V135, V135 == V137, V137 == V140, V140 == V142, V142 == V145, V145 == V148, V148 == V151, V151 == V155, V155 == V158, V158 == V160, V160 == V162, V162 == V165, V165 == V168, V168 == V171, V171 == V175, V175 == V180, V180 == V183, V183 == V186, V186 == V190, V190 == V193, V193 == V196, V196 == V200, V200 == V202, V202 == V205, V205 == V207, V207 == V209, V209 == V212, V212 == V215, V215 == V217, V217 == V220, V220 == V224, V224 == V229, V229 == V232, V232 == V235, V235 == V240, V240 == V243, V243 == V246, V246 == V248, V248 == V251, V251 == V254, V254 == V256; #1757 ), references = 1, size of lhs = 3:
% 3.94/4.10 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2) | FALSE
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #2183: mergings( V2 == V3, V3 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V17, V17 == V19, V19 == V20, V20 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V35, V35 == V37, V37 == V40, V40 == V42, V42 == V44, V44 == V46, V46 == V49, V49 == V51, V51 == V53, V53 == V55, V55 == V56, V56 == V59, V59 == V61, V61 == V62, V62 == V64, V64 == V67, V67 == V70, V70 == V72, V72 == V74, V74 == V76, V76 == V79, V79 == V81, V81 == V83, V83 == V86, V86 == V88, V88 == V90, V90 == V93, V93 == V96, V96 == V98, V98 == V100, V100 == V103, V103 == V105, V105 == V109, V109 == V111, V111 == V113, V113 == V116, V116 == V118, V118 == V120, V120 == V122, V122 == V124, V124 == V127, V127 == V129, V129 == V131, V131 == V134, V134 == V137, V137 == V140, V140 == V141, V141 == V143, V143 == V145, V145 == V146, V146 == V149, V149 == V151, V151 == V153, V153 == V155, V155 == V157, V157 == V159, V159 == V161, V161 == V163, V163 == V165, V165 == V168, V168 == V170, V1 == V4, V4 == V6, V6 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V18, V18 == V21, V21 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V39, V39 == V41, V41 == V43, V43 == V45, V45 == V47, V47 == V48, V48 == V50, V50 == V52, V52 == V54, V54 == V57, V57 == V58, V58 == V60, V60 == V63, V63 == V65, V65 == V66, V66 == V68, V68 == V69, V69 == V71, V71 == V73, V73 == V75, V75 == V77, V77 == V78, V78 == V80, V80 == V82, V82 == V84, V84 == V85, V85 == V87, V87 == V89, V89 == V91, V91 == V92, V92 == V94, V94 == V95, V95 == V97, V97 == V99, V99 == V101, V101 == V102, V102 == V104, V104 == V106, V106 == V107, V107 == V108, V108 == V110, V110 == V112, V112 == V114, V114 == V115, V115 == V117, V117 == V119, V119 == V121, V121 == V123, V123 == V125, V125 == V126, V126 == V128, V128 == V130, V130 == V132, V132 == V133, V133 == V135, V135 == V136, V136 == V138, V138 == V139, V139 == V142, V142 == V144, V144 == V147, V147 == V148, V148 == V150, V150 == V152, V152 == V154, V154 == V156, V156 == V158, V158 == V160, V160 == V162, V162 == V164, V164 == V166, V166 == V167, V167 == V169, V169 == V171, V171 == V172; #2012 ), references = 1, size of lhs = 2:
% 3.94/4.10 P_e_1-{F}(V0), P_e_2-{F}(V1) | FALSE
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #2262: 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, V68 == V69, V69 == V70, V70 == V71, V71 == V72, V72 == V73, V73 == V74, V74 == V75, V75 == V76, V76 == V77, V77 == V78; #2184 ), references = 1, size of lhs = 1:
% 3.94/4.10 P_e_1-{F}(V0) | FALSE
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 #2264: exists( #25, #2184 ), references = 1, size of lhs = 0:
% 3.94/4.10 FALSE | FALSE
% 3.94/4.10 (used 0 times, uses = {})
% 3.94/4.10
% 3.94/4.10 number of learnt formulas = 41
% 3.94/4.10
% 3.94/4.10
% 3.94/4.10 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.94/4.10
% 3.94/4.10 randbase = 1
%------------------------------------------------------------------------------