TSTP Solution File: GRP039-6 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP039-6 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n017.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 06:03:03 EDT 2022
% Result : Unsatisfiable 41.30s 41.52s
% Output : Refutation 41.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP039-6 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.11/0.33 % Computer : n017.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Jul 22 13:55:14 EDT 2022
% 0.11/0.33 % CPUTime :
% 41.30/41.52 GeoParameters:
% 41.30/41.52
% 41.30/41.52 tptp_input = 1
% 41.30/41.52 tptp_output = 0
% 41.30/41.52 nonempty = 1
% 41.30/41.52 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 41.30/41.52 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 41.30/41.52
% 41.30/41.52
% 41.30/41.52 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 41.30/41.52 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 41.30/41.52
% 41.30/41.52 RuleSystem INPUT:
% 41.30/41.52
% 41.30/41.52 Initial Rules:
% 41.30/41.52 #0: input, references = 16, size of lhs = 2:
% 41.30/41.52 equalish-{F}(V1,V0), subgroup_member-{F}(V1) | subgroup_member-{T}(V0)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #1: input, references = 22, size of lhs = 2:
% 41.30/41.52 equalish-{F}(V3,V0), product-{F}(V1,V2,V3) | product-{T}(V1,V2,V0)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #2: input, references = 3, size of lhs = 3:
% 41.30/41.52 equalish-{F}(V0,V1), P_element_in_O2-{F}(V2,V0,V3), P_element_in_O2-{F}(V2,V1,V4) | equalish-{T}(V3,V4)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #3: input, references = 3, size of lhs = 3:
% 41.30/41.52 equalish-{F}(V0,V1), P_element_in_O2-{F}(V0,V2,V3), P_element_in_O2-{F}(V1,V2,V4) | equalish-{T}(V3,V4)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #4: input, references = 35, size of lhs = 2:
% 41.30/41.52 P_inverse-{F}(V0,V1), subgroup_member-{F}(V0) | subgroup_member-{T}(V1)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #5: input, references = 111, size of lhs = 3:
% 41.30/41.52 subgroup_member-{F}(V1), subgroup_member-{F}(V2), product-{F}(V2,V1,V0) | subgroup_member-{T}(V0)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #6: input, references = 14, size of lhs = 2:
% 41.30/41.52 P_identity-{F}(V0), #-{F} V1 | product-{T}(V0,V1,V1)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #7: input, references = 25, size of lhs = 2:
% 41.30/41.52 P_identity-{F}(V0), #-{F} V1 | product-{T}(V1,V0,V1)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #8: input, references = 26, size of lhs = 2:
% 41.30/41.52 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | product-{T}(V2,V1,V0)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #9: input, references = 14, size of lhs = 2:
% 41.30/41.52 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | product-{T}(V1,V2,V0)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #10: input, references = 40, size of lhs = 4:
% 41.30/41.52 P_identity-{F}(V0), product-{F}(V3,V2,V1), product-{F}(V5,V2,V4), product-{F}(V6,V5,V3) | product-{T}(V6,V4,V1)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #11: input, references = 22, size of lhs = 4:
% 41.30/41.52 P_identity-{F}(V0), product-{F}(V5,V2,V4), product-{F}(V6,V5,V3), product-{F}(V6,V4,V1) | product-{T}(V3,V2,V1)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #12: input, references = 8, size of lhs = 3:
% 41.30/41.52 P_identity-{F}(V0), product-{F}(V4,V3,V2), product-{F}(V4,V3,V1) | equalish-{T}(V2,V1)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #13: input, references = 3, size of lhs = 1:
% 41.30/41.52 P_identity-{F}(V0) | subgroup_member-{T}(V0)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #14: input, references = 18, size of lhs = 3:
% 41.30/41.52 P_identity-{F}(V0), product-{F}(V4,V1,V3), product-{F}(V4,V2,V3) | equalish-{T}(V2,V1)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #15: input, references = 10, size of lhs = 3:
% 41.30/41.52 P_identity-{F}(V0), product-{F}(V3,V1,V2), product-{F}(V4,V1,V2) | equalish-{T}(V3,V4)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #16: input, references = 20, size of lhs = 2:
% 41.30/41.52 P_identity-{F}(V0), P_element_in_O2-{F}(V2,V1,V3) | subgroup_member-{T}(V1), subgroup_member-{T}(V3), subgroup_member-{T}(V2)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #17: input, references = 14, size of lhs = 2:
% 41.30/41.52 P_identity-{F}(V0), P_element_in_O2-{F}(V2,V1,V3) | subgroup_member-{T}(V1), product-{T}(V2,V3,V1), subgroup_member-{T}(V2)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #18: input, references = 4, size of lhs = 2:
% 41.30/41.52 P_identity-{F}(V0), P_b-{F}(V1) | subgroup_member-{T}(V1)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #19: input, references = 14, size of lhs = 5:
% 41.30/41.52 P_identity-{F}(V0), P_b-{F}(V1), P_a-{F}(V2), P_inverse-{F}(V2,V3), P_c-{F}(V4) | product-{T}(V1,V3,V4)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #20: input, references = 15, size of lhs = 6:
% 41.30/41.52 P_identity-{F}(V0), P_b-{F}(V1), P_a-{F}(V2), P_inverse-{F}(V2,V3), P_c-{F}(V4), P_d-{F}(V5) | product-{T}(V2,V4,V5)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #21: input, references = 26, size of lhs = 7:
% 41.30/41.52 P_identity-{F}(V0), P_b-{F}(V1), P_a-{F}(V2), P_inverse-{F}(V2,V3), P_c-{F}(V4), P_d-{F}(V5), subgroup_member-{F}(V5) | FALSE
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #22: input, references = 7, size of lhs = 2:
% 41.30/41.52 #-{F} V0, #-{F} V1 | EXISTS V2: P_element_in_O2-{T}(V0,V1,V2)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #23: input, references = 20, size of lhs = 1:
% 41.30/41.52 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #24: input, references = 4, size of lhs = 0:
% 41.30/41.52 FALSE | EXISTS V0: P_identity-{T}(V0)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #25: input, references = 4, size of lhs = 0:
% 41.30/41.52 FALSE | EXISTS V0: P_b-{T}(V0)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #26: input, references = 5, size of lhs = 0:
% 41.30/41.52 FALSE | EXISTS V0: P_a-{T}(V0)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #27: input, references = 5, size of lhs = 0:
% 41.30/41.52 FALSE | EXISTS V0: P_c-{T}(V0)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #28: input, references = 7, size of lhs = 0:
% 41.30/41.52 FALSE | EXISTS V0: P_d-{T}(V0)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 number of initial rules = 29
% 41.30/41.52
% 41.30/41.52 Simplifiers:
% 41.30/41.52 #29: unsound, references = 3, size of lhs = 3:
% 41.30/41.52 P_element_in_O2-{F}(V0,V1,V2), P_element_in_O2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #30: unsound, references = 3, size of lhs = 3:
% 41.30/41.52 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #31: unsound, references = 3, size of lhs = 3:
% 41.30/41.52 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #32: unsound, references = 3, size of lhs = 3:
% 41.30/41.52 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #33: unsound, references = 3, size of lhs = 3:
% 41.30/41.52 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #34: unsound, references = 3, size of lhs = 3:
% 41.30/41.52 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #35: unsound, references = 3, size of lhs = 3:
% 41.30/41.52 P_d-{F}(V0), P_d-{F}(V1), V0 == V1 | FALSE
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 number of simplifiers = 7
% 41.30/41.52
% 41.30/41.52 Learnt:
% 41.30/41.52 #49: mergings( V2 == V6, V6 == V8, V3 == V9, V4 == V10, V0 == V5; #43 ), references = 2, size of lhs = 7:
% 41.30/41.52 P_a-{F}(V0), P_d-{F}(V0), subgroup_member-{F}(V1), P_identity-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), product-{F}(V1,V4,V0) | FALSE
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #65: mergings( V2 == V3, V3 == V5, V5 == V6, V6 == V9, V9 == V11, V4 == V7, V7 == V12, V8 == V13; #56 ), references = 1, size of lhs = 7:
% 41.30/41.52 subgroup_member-{F}(V0), P_identity-{F}(V0), P_d-{F}(V1), P_b-{F}(V2), P_a-{F}(V3), product-{F}(V3,V2,V3), P_c-{F}(V4) | FALSE
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #75: mergings( V1 == V2, V2 == V4, V4 == V5, V5 == V8, V8 == V9, V3 == V6, V6 == V10, V7 == V12; #66 ), references = 3, size of lhs = 6:
% 41.30/41.52 subgroup_member-{F}(V0), P_identity-{F}(V0), P_b-{F}(V1), P_a-{F}(V2), product-{F}(V2,V1,V2), P_c-{F}(V3) | FALSE
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #84: mergings( V1 == V2, V2 == V4, V4 == V5, V5 == V7, V7 == V8, V3 == V6, V6 == V9; #76 ), references = 5, size of lhs = 5:
% 41.30/41.52 subgroup_member-{F}(V0), P_identity-{F}(V0), P_b-{F}(V1), P_a-{F}(V2), product-{F}(V2,V1,V2) | FALSE
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #88: mergings( V1 == V2; #86 ), references = 1, size of lhs = 3:
% 41.30/41.52 P_b-{F}(V0), subgroup_member-{F}(V0), P_identity-{F}(V0) | FALSE
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #102: mergings( V2 == V5, V3 == V4; #97 ), references = 1, size of lhs = 6:
% 41.30/41.52 P_c-{F}(V0), P_b-{F}(V0), P_d-{F}(V1), P_a-{F}(V1), subgroup_member-{F}(V2), P_identity-{F}(V2) | FALSE
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #104: exists( #23, #21 ), references = 21, size of lhs = 6:
% 41.30/41.52 P_identity-{F}(V0), P_b-{F}(V1), P_a-{F}(V2), P_c-{F}(V3), P_d-{F}(V4), subgroup_member-{F}(V4) | FALSE
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #169: mergings( V2 == V3, V3 == V4, V4 == V7, V7 == V10, V10 == V11, V11 == V13, V5 == V8, V8 == V14, V6 == V9, V9 == V15; #158 ), references = 2, size of lhs = 8:
% 41.30/41.52 subgroup_member-{F}(V0), P_identity-{F}(V0), subgroup_member-{F}(V1), P_c-{F}(V1), P_d-{F}(V2), P_b-{F}(V3), product-{F}(V3,V0,V1), P_a-{F}(V4) | FALSE
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #181: mergings( V2 == V3, V3 == V4, V4 == V7, V7 == V10, V10 == V11, V11 == V13, V5 == V8, V8 == V14, V0 == V15, V6 == V9, V9 == V16; #157 ), references = 2, size of lhs = 8:
% 41.30/41.52 subgroup_member-{F}(V0), P_identity-{F}(V0), subgroup_member-{F}(V1), P_c-{F}(V1), P_d-{F}(V2), P_b-{F}(V3), product-{F}(V3,V0,V1), P_a-{F}(V4) | FALSE
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #194: mergings( V1 == V2, V2 == V3, V3 == V6, V6 == V9, V9 == V10, V10 == V11, V4 == V7, V7 == V12, V5 == V8, V8 == V14; #182 ), references = 2, size of lhs = 7:
% 41.30/41.52 subgroup_member-{F}(V0), P_identity-{F}(V0), subgroup_member-{F}(V1), P_c-{F}(V1), P_b-{F}(V2), product-{F}(V2,V0,V1), P_a-{F}(V3) | FALSE
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #215: mergings( V2 == V3, V3 == V6, V6 == V8, V4 == V9, V0 == V7, V8 == V5; #208 ), references = 1, size of lhs = 7:
% 41.30/41.52 subgroup_member-{F}(V0), P_b-{F}(V0), P_c-{F}(V1), P_identity-{F}(V1), P_a-{F}(V2), P_d-{F}(V2), product-{F}(V1,V2,V2) | FALSE
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #238: mergings( V2 == V3, V3 == V6, V6 == V7, V7 == V11, V4 == V8, V8 == V12, V5 == V9, V9 == V13; #229 ), references = 1, size of lhs = 9:
% 41.30/41.52 subgroup_member-{F}(V0), P_identity-{F}(V0), subgroup_member-{F}(V1), P_b-{F}(V1), subgroup_member-{F}(V2), P_c-{F}(V2), P_d-{F}(V3), P_a-{F}(V4), product-{F}(V2,V4,V4) | FALSE
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #248: mergings( V2 == V3, V3 == V6, V6 == V7, V7 == V11, V4 == V8, V8 == V12, V0 == V13, V5 == V9, V9 == V14; #228 ), references = 1, size of lhs = 9:
% 41.30/41.52 subgroup_member-{F}(V0), P_identity-{F}(V0), subgroup_member-{F}(V1), P_b-{F}(V1), subgroup_member-{F}(V2), P_c-{F}(V2), P_d-{F}(V3), P_a-{F}(V4), product-{F}(V2,V4,V4) | FALSE
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #259: mergings( V1 == V2, V2 == V5, V5 == V6, V6 == V9, V3 == V7, V7 == V10, V4 == V8, V8 == V12; #249 ), references = 1, size of lhs = 8:
% 41.30/41.52 subgroup_member-{F}(V0), P_identity-{F}(V0), subgroup_member-{F}(V1), P_b-{F}(V1), subgroup_member-{F}(V2), P_c-{F}(V2), P_a-{F}(V3), product-{F}(V2,V3,V3) | FALSE
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #269: mergings( V1 == V2, V2 == V5, V5 == V7, V7 == V10, V3 == V8, V8 == V11, V6 == V12, V4 == V9, V9 == V13; #250 ), references = 1, size of lhs = 8:
% 41.30/41.52 subgroup_member-{F}(V0), P_identity-{F}(V0), subgroup_member-{F}(V1), P_b-{F}(V1), subgroup_member-{F}(V2), P_c-{F}(V2), P_a-{F}(V3), product-{F}(V2,V3,V3) | FALSE
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #310: mergings( V2 == V3, V3 == V6, V6 == V10, V10 == V11, V11 == V13, V4 == V7, V7 == V14, V5 == V8, V8 == V15, V15 == V9; #299 ), references = 1, size of lhs = 9:
% 41.30/41.52 subgroup_member-{F}(V0), P_b-{F}(V0), P_d-{F}(V1), P_c-{F}(V1), subgroup_member-{F}(V2), P_identity-{F}(V3), P_a-{F}(V4), product-{F}(V3,V1,V5), product-{F}(V2,V1,V5) | FALSE
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #322: mergings( V2 == V3, V3 == V6, V6 == V10, V10 == V11, V11 == V13, V4 == V7, V7 == V14, V0 == V15, V5 == V8, V8 == V16, V16 == V9; #298 ), references = 1, size of lhs = 9:
% 41.30/41.52 subgroup_member-{F}(V0), P_b-{F}(V0), P_d-{F}(V1), P_c-{F}(V1), subgroup_member-{F}(V2), P_identity-{F}(V3), P_a-{F}(V4), product-{F}(V3,V1,V5), product-{F}(V2,V1,V5) | FALSE
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #457: mergings( V0 == V7, V7 == V15, V8 == V16, V9 == V17, V10 == V18, V6 == V14; #447 ), references = 1, size of lhs = 13:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), P_d-{F}(V3), P_identity-{F}(V4), P_b-{F}(V5), P_a-{F}(V6), P_c-{F}(V7), product-{F}(V8,V2,V3), product-{F}(V1,V9,V8), P_element_in_O2-{F}(V10,V11,V9), product-{F}(V0,V11,V12), product-{F}(V12,V11,V3) | subgroup_member-{T}(V10)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #464: mergings( V0 == V7, V7 == V15, V8 == V16, V9 == V17, V10 == V19, V6 == V14; #448 ), references = 1, size of lhs = 14:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), P_d-{F}(V3), P_identity-{F}(V4), P_b-{F}(V5), P_a-{F}(V6), P_inverse-{F}(V6,V7), P_c-{F}(V8), product-{F}(V9,V2,V3), product-{F}(V1,V10,V9), P_element_in_O2-{F}(V11,V12,V10), product-{F}(V0,V12,V13), product-{F}(V13,V12,V3) | subgroup_member-{T}(V11)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #471: mergings( V0 == V7, V7 == V16, V8 == V17, V9 == V18, V11 == V19, V6 == V15; #449 ), references = 1, size of lhs = 14:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), P_d-{F}(V3), P_identity-{F}(V4), P_b-{F}(V5), P_a-{F}(V6), P_inverse-{F}(V6,V7), P_c-{F}(V8), product-{F}(V9,V2,V3), product-{F}(V1,V10,V9), P_element_in_O2-{F}(V11,V12,V10), product-{F}(V0,V12,V13), product-{F}(V13,V12,V3) | subgroup_member-{T}(V11)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #504: mergings( V0 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V19, V8 == V20, V9 == V21; #491 ), references = 1, size of lhs = 16:
% 41.30/41.52 subgroup_member-{F}(V0), P_identity-{F}(V0), subgroup_member-{F}(V1), P_d-{F}(V2), P_b-{F}(V3), P_a-{F}(V4), P_c-{F}(V5), product-{F}(V1,V6,V7), product-{F}(V6,V7,V2), P_element_in_O2-{F}(V6,V8,V9), product-{F}(V8,V10,V3), product-{F}(V11,V12,V10), product-{F}(V9,V11,V13), product-{F}(V6,V13,V14), product-{F}(V4,V14,V15), product-{F}(V15,V12,V4) | subgroup_member-{T}(V8)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #512: mergings( V0 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V19, V8 == V20, V9 == V21; #492 ), references = 1, size of lhs = 17:
% 41.30/41.52 subgroup_member-{F}(V0), P_identity-{F}(V0), subgroup_member-{F}(V1), P_d-{F}(V2), P_b-{F}(V3), P_a-{F}(V4), P_inverse-{F}(V4,V5), P_c-{F}(V6), product-{F}(V1,V7,V8), product-{F}(V7,V8,V2), P_element_in_O2-{F}(V7,V9,V10), product-{F}(V9,V11,V3), product-{F}(V12,V13,V11), product-{F}(V10,V12,V14), product-{F}(V7,V14,V15), product-{F}(V4,V15,V16), product-{F}(V16,V13,V4) | subgroup_member-{T}(V9)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #521: mergings( V0 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V20, V8 == V21, V9 == V22, V10 == V23; #493 ), references = 1, size of lhs = 16:
% 41.30/41.52 subgroup_member-{F}(V0), P_identity-{F}(V0), subgroup_member-{F}(V1), P_d-{F}(V2), P_b-{F}(V3), P_a-{F}(V4), P_c-{F}(V5), product-{F}(V1,V6,V7), product-{F}(V6,V7,V2), P_element_in_O2-{F}(V6,V8,V9), product-{F}(V8,V10,V3), product-{F}(V11,V12,V10), product-{F}(V9,V11,V13), product-{F}(V6,V13,V14), product-{F}(V4,V14,V15), product-{F}(V15,V12,V4) | subgroup_member-{T}(V8)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #542: mergings( V0 == V7, V7 == V14, V8 == V15, V9 == V16, V10 == V17, V6 == V13; #532 ), references = 1, size of lhs = 12:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), P_d-{F}(V2), P_identity-{F}(V3), P_b-{F}(V4), P_a-{F}(V5), P_c-{F}(V6), product-{F}(V1,V7,V8), product-{F}(V7,V8,V2), P_element_in_O2-{F}(V7,V9,V10), product-{F}(V10,V0,V11), product-{F}(V10,V11,V2) | subgroup_member-{T}(V9)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #549: mergings( V0 == V7, V7 == V14, V8 == V15, V9 == V16, V10 == V18, V6 == V13; #533 ), references = 1, size of lhs = 13:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), P_d-{F}(V2), P_identity-{F}(V3), P_b-{F}(V4), P_a-{F}(V5), P_inverse-{F}(V5,V6), P_c-{F}(V7), product-{F}(V1,V8,V9), product-{F}(V8,V9,V2), P_element_in_O2-{F}(V8,V10,V11), product-{F}(V11,V0,V12), product-{F}(V11,V12,V2) | subgroup_member-{T}(V10)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #556: mergings( V0 == V7, V7 == V15, V8 == V16, V9 == V17, V11 == V18, V6 == V14; #534 ), references = 1, size of lhs = 13:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), P_d-{F}(V2), P_identity-{F}(V3), P_b-{F}(V4), P_a-{F}(V5), P_inverse-{F}(V5,V6), P_c-{F}(V7), product-{F}(V1,V8,V9), product-{F}(V8,V9,V2), P_element_in_O2-{F}(V8,V10,V11), product-{F}(V11,V0,V12), product-{F}(V11,V12,V2) | subgroup_member-{T}(V10)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #582: mergings( V0 == V4, V4 == V6, V6 == V13, V7 == V14, V8 == V15, V9 == V16, V5 == V12; #571 ), references = 5, size of lhs = 11:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), P_d-{F}(V2), P_identity-{F}(V3), P_b-{F}(V4), P_a-{F}(V5), P_c-{F}(V6), product-{F}(V7,V2,V8), P_element_in_O2-{F}(V7,V8,V0), product-{F}(V1,V7,V9), product-{F}(V7,V9,V2) | subgroup_member-{T}(V8)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #590: mergings( V0 == V4, V4 == V6, V6 == V13, V7 == V14, V8 == V15, V9 == V17, V5 == V12; #572 ), references = 1, size of lhs = 12:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), P_d-{F}(V2), P_identity-{F}(V3), P_b-{F}(V4), P_a-{F}(V5), P_inverse-{F}(V5,V6), P_c-{F}(V7), product-{F}(V8,V2,V9), P_element_in_O2-{F}(V8,V9,V0), product-{F}(V1,V8,V10), product-{F}(V8,V10,V2) | subgroup_member-{T}(V9)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #598: mergings( V0 == V4, V4 == V6, V6 == V14, V7 == V15, V8 == V16, V10 == V17, V5 == V13; #573 ), references = 1, size of lhs = 12:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), P_d-{F}(V2), P_identity-{F}(V3), P_b-{F}(V4), P_a-{F}(V5), P_inverse-{F}(V5,V6), P_c-{F}(V7), product-{F}(V8,V2,V9), P_element_in_O2-{F}(V8,V9,V0), product-{F}(V1,V8,V10), product-{F}(V8,V10,V2) | subgroup_member-{T}(V9)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #623: mergings( V0 == V7, V7 == V14, V8 == V15, V9 == V16, V10 == V17, V6 == V13; #613 ), references = 1, size of lhs = 12:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), P_d-{F}(V2), P_identity-{F}(V3), P_b-{F}(V4), P_a-{F}(V5), P_c-{F}(V6), product-{F}(V0,V7,V8), product-{F}(V8,V7,V2), P_element_in_O2-{F}(V9,V7,V10), product-{F}(V1,V10,V11), product-{F}(V11,V10,V2) | subgroup_member-{T}(V9)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #630: mergings( V0 == V7, V7 == V14, V8 == V15, V9 == V16, V10 == V18, V6 == V13; #614 ), references = 1, size of lhs = 13:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), P_d-{F}(V2), P_identity-{F}(V3), P_b-{F}(V4), P_a-{F}(V5), P_inverse-{F}(V5,V6), P_c-{F}(V7), product-{F}(V0,V8,V9), product-{F}(V9,V8,V2), P_element_in_O2-{F}(V10,V8,V11), product-{F}(V1,V11,V12), product-{F}(V12,V11,V2) | subgroup_member-{T}(V10)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #637: mergings( V0 == V7, V7 == V15, V8 == V16, V9 == V17, V11 == V18, V6 == V14; #615 ), references = 1, size of lhs = 13:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), P_d-{F}(V2), P_identity-{F}(V3), P_b-{F}(V4), P_a-{F}(V5), P_inverse-{F}(V5,V6), P_c-{F}(V7), product-{F}(V0,V8,V9), product-{F}(V9,V8,V2), P_element_in_O2-{F}(V10,V8,V11), product-{F}(V1,V11,V12), product-{F}(V12,V11,V2) | subgroup_member-{T}(V10)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #658: mergings( V0 == V7, V7 == V14, V8 == V15, V9 == V16, V10 == V17, V6 == V13; #648 ), references = 1, size of lhs = 12:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), P_d-{F}(V2), P_identity-{F}(V3), P_b-{F}(V4), P_a-{F}(V5), P_c-{F}(V6), product-{F}(V0,V7,V8), product-{F}(V8,V7,V2), P_element_in_O2-{F}(V9,V7,V10), product-{F}(V9,V1,V11), product-{F}(V11,V9,V2) | subgroup_member-{T}(V10)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #665: mergings( V0 == V7, V7 == V14, V8 == V15, V9 == V16, V10 == V18, V6 == V13; #649 ), references = 1, size of lhs = 13:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), P_d-{F}(V2), P_identity-{F}(V3), P_b-{F}(V4), P_a-{F}(V5), P_inverse-{F}(V5,V6), P_c-{F}(V7), product-{F}(V0,V8,V9), product-{F}(V9,V8,V2), P_element_in_O2-{F}(V10,V8,V11), product-{F}(V10,V1,V12), product-{F}(V12,V10,V2) | subgroup_member-{T}(V11)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #672: mergings( V0 == V7, V7 == V15, V8 == V16, V9 == V17, V11 == V18, V6 == V14; #650 ), references = 1, size of lhs = 13:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), P_d-{F}(V2), P_identity-{F}(V3), P_b-{F}(V4), P_a-{F}(V5), P_inverse-{F}(V5,V6), P_c-{F}(V7), product-{F}(V0,V8,V9), product-{F}(V9,V8,V2), P_element_in_O2-{F}(V10,V8,V11), product-{F}(V10,V1,V12), product-{F}(V12,V10,V2) | subgroup_member-{T}(V11)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #699: mergings( V3 == V6, V6 == V12, V12 == V18, V18 == V24, V7 == V13, V13 == V19, V19 == V25, V8 == V14, V14 == V20, V20 == V26, V9 == V15, V15 == V21, V21 == V27, V5 == V11, V11 == V17, V17 == V23; #681 ), references = 1, size of lhs = 18:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), P_d-{F}(V4), P_identity-{F}(V5), P_b-{F}(V6), P_a-{F}(V7), P_c-{F}(V8), product-{F}(V9,V1,V10), product-{F}(V10,V9,V4), product-{F}(V9,V4,V11), product-{F}(V0,V11,V12), product-{F}(V12,V11,V4), product-{F}(V2,V9,V13), product-{F}(V9,V13,V4), product-{F}(V3,V11,V14), product-{F}(V14,V11,V4) | FALSE
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #716: mergings( V3 == V6, V6 == V12, V12 == V18, V18 == V24, V7 == V13, V13 == V19, V19 == V25, V8 == V14, V14 == V20, V20 == V26, V9 == V15, V15 == V21, V21 == V28, V5 == V11, V11 == V17, V17 == V23; #682 ), references = 1, size of lhs = 19:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), P_d-{F}(V4), P_identity-{F}(V5), P_b-{F}(V6), P_a-{F}(V7), P_inverse-{F}(V7,V8), P_c-{F}(V9), product-{F}(V10,V1,V11), product-{F}(V11,V10,V4), product-{F}(V10,V4,V12), product-{F}(V0,V12,V13), product-{F}(V13,V12,V4), product-{F}(V2,V10,V14), product-{F}(V10,V14,V4), product-{F}(V3,V12,V15), product-{F}(V15,V12,V4) | FALSE
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #750: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V10, V10 == V16, V16 == V22, V22 == V28, V11 == V17, V17 == V23, V23 == V29, V12 == V18, V18 == V24, V24 == V30, V13 == V19, V19 == V25, V25 == V31, V9 == V15, V15 == V21, V21 == V27; #727 ), references = 1, size of lhs = 21:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), P_d-{F}(V4), P_identity-{F}(V5), P_b-{F}(V6), P_a-{F}(V7), P_c-{F}(V8), product-{F}(V5,V9,V4), product-{F}(V10,V1,V5), product-{F}(V11,V9,V12), product-{F}(V5,V13,V12), product-{F}(V11,V13,V10), product-{F}(V12,V4,V14), product-{F}(V0,V14,V15), product-{F}(V15,V14,V4), product-{F}(V2,V12,V16), product-{F}(V12,V16,V4), product-{F}(V3,V14,V17), product-{F}(V17,V14,V4) | FALSE
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #772: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V10, V10 == V16, V16 == V22, V22 == V28, V11 == V17, V17 == V23, V23 == V29, V12 == V18, V18 == V24, V24 == V30, V13 == V19, V19 == V25, V25 == V32, V9 == V15, V15 == V21, V21 == V27; #728 ), references = 1, size of lhs = 22:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), P_d-{F}(V4), P_identity-{F}(V5), P_b-{F}(V6), P_a-{F}(V7), P_inverse-{F}(V7,V8), P_c-{F}(V9), product-{F}(V5,V10,V4), product-{F}(V11,V1,V5), product-{F}(V12,V10,V13), product-{F}(V5,V14,V13), product-{F}(V12,V14,V11), product-{F}(V13,V4,V15), product-{F}(V0,V15,V16), product-{F}(V16,V15,V4), product-{F}(V2,V13,V17), product-{F}(V13,V17,V4), product-{F}(V3,V15,V18), product-{F}(V18,V15,V4) | FALSE
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #1120: mergings( V0 == V7, V7 == V14, V8 == V15, V9 == V16, V10 == V17, V6 == V13; #1110 ), references = 1, size of lhs = 12:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), P_d-{F}(V2), P_identity-{F}(V3), P_b-{F}(V4), P_a-{F}(V5), P_c-{F}(V6), product-{F}(V1,V7,V8), product-{F}(V7,V8,V2), P_element_in_O2-{F}(V7,V9,V10), product-{F}(V0,V10,V11), product-{F}(V10,V11,V2) | subgroup_member-{T}(V9)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #1127: mergings( V0 == V7, V7 == V14, V8 == V15, V9 == V16, V10 == V18, V6 == V13; #1111 ), references = 1, size of lhs = 13:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), P_d-{F}(V2), P_identity-{F}(V3), P_b-{F}(V4), P_a-{F}(V5), P_inverse-{F}(V5,V6), P_c-{F}(V7), product-{F}(V1,V8,V9), product-{F}(V8,V9,V2), P_element_in_O2-{F}(V8,V10,V11), product-{F}(V0,V11,V12), product-{F}(V11,V12,V2) | subgroup_member-{T}(V10)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #1134: mergings( V0 == V7, V7 == V15, V8 == V16, V9 == V17, V11 == V18, V6 == V14; #1112 ), references = 1, size of lhs = 13:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), P_d-{F}(V2), P_identity-{F}(V3), P_b-{F}(V4), P_a-{F}(V5), P_inverse-{F}(V5,V6), P_c-{F}(V7), product-{F}(V1,V8,V9), product-{F}(V8,V9,V2), P_element_in_O2-{F}(V8,V10,V11), product-{F}(V0,V11,V12), product-{F}(V11,V12,V2) | subgroup_member-{T}(V10)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #1159: mergings( V0 == V7, V7 == V14, V8 == V15, V9 == V16, V10 == V17, V6 == V13; #1149 ), references = 1, size of lhs = 12:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), P_d-{F}(V2), P_identity-{F}(V3), P_b-{F}(V4), P_a-{F}(V5), P_c-{F}(V6), product-{F}(V0,V7,V8), product-{F}(V8,V7,V2), P_element_in_O2-{F}(V9,V7,V10), product-{F}(V1,V9,V11), product-{F}(V9,V11,V2) | subgroup_member-{T}(V10)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #1166: mergings( V0 == V7, V7 == V14, V8 == V15, V9 == V16, V10 == V18, V6 == V13; #1150 ), references = 1, size of lhs = 13:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), P_d-{F}(V2), P_identity-{F}(V3), P_b-{F}(V4), P_a-{F}(V5), P_inverse-{F}(V5,V6), P_c-{F}(V7), product-{F}(V0,V8,V9), product-{F}(V9,V8,V2), P_element_in_O2-{F}(V10,V8,V11), product-{F}(V1,V10,V12), product-{F}(V10,V12,V2) | subgroup_member-{T}(V11)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #1173: mergings( V0 == V7, V7 == V15, V8 == V16, V9 == V17, V11 == V18, V6 == V14; #1151 ), references = 1, size of lhs = 13:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), P_d-{F}(V2), P_identity-{F}(V3), P_b-{F}(V4), P_a-{F}(V5), P_inverse-{F}(V5,V6), P_c-{F}(V7), product-{F}(V0,V8,V9), product-{F}(V9,V8,V2), P_element_in_O2-{F}(V10,V8,V11), product-{F}(V1,V10,V12), product-{F}(V10,V12,V2) | subgroup_member-{T}(V11)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #1204: mergings( V3 == V6, V6 == V12, V12 == V18, V18 == V24, V7 == V13, V13 == V19, V19 == V25, V8 == V14, V14 == V20, V20 == V26, V9 == V15, V15 == V21, V21 == V27, V5 == V11, V11 == V17, V17 == V23; #1186 ), references = 1, size of lhs = 18:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), P_d-{F}(V4), P_identity-{F}(V5), P_b-{F}(V6), P_a-{F}(V7), P_c-{F}(V8), product-{F}(V1,V9,V10), product-{F}(V9,V10,V4), product-{F}(V9,V4,V11), product-{F}(V0,V11,V12), product-{F}(V12,V11,V4), product-{F}(V2,V9,V13), product-{F}(V9,V13,V4), product-{F}(V3,V11,V14), product-{F}(V14,V11,V4) | FALSE
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #1221: mergings( V3 == V6, V6 == V12, V12 == V18, V18 == V24, V7 == V13, V13 == V19, V19 == V25, V8 == V14, V14 == V20, V20 == V26, V9 == V15, V15 == V21, V21 == V28, V5 == V11, V11 == V17, V17 == V23; #1187 ), references = 1, size of lhs = 19:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), P_d-{F}(V4), P_identity-{F}(V5), P_b-{F}(V6), P_a-{F}(V7), P_inverse-{F}(V7,V8), P_c-{F}(V9), product-{F}(V1,V10,V11), product-{F}(V10,V11,V4), product-{F}(V10,V4,V12), product-{F}(V0,V12,V13), product-{F}(V13,V12,V4), product-{F}(V2,V10,V14), product-{F}(V10,V14,V4), product-{F}(V3,V12,V15), product-{F}(V15,V12,V4) | FALSE
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #1248: mergings( V2 == V3, V3 == V4, V4 == V6, V6 == V12, V12 == V18, V18 == V23, V7 == V13, V13 == V19, V19 == V24, V8 == V14, V14 == V20, V20 == V25, V9 == V15, V15 == V21, V21 == V26, V5 == V11, V11 == V17, V17 == V22; #1228 ), references = 4, size of lhs = 16:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), P_d-{F}(V3), P_identity-{F}(V4), P_b-{F}(V5), P_a-{F}(V6), P_c-{F}(V7), product-{F}(V4,V8,V9), product-{F}(V0,V8,V10), product-{F}(V9,V10,V3), product-{F}(V11,V3,V10), product-{F}(V1,V11,V12), product-{F}(V11,V12,V3), product-{F}(V2,V11,V13), product-{F}(V11,V13,V3) | FALSE
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #1267: mergings( V2 == V3, V3 == V4, V4 == V6, V6 == V12, V12 == V18, V18 == V23, V7 == V13, V13 == V19, V19 == V24, V8 == V14, V14 == V20, V20 == V25, V9 == V15, V15 == V21, V21 == V27, V5 == V11, V11 == V17, V17 == V22; #1229 ), references = 2, size of lhs = 17:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), P_d-{F}(V3), P_identity-{F}(V4), P_b-{F}(V5), P_a-{F}(V6), P_inverse-{F}(V6,V7), P_c-{F}(V8), product-{F}(V4,V9,V10), product-{F}(V0,V9,V11), product-{F}(V10,V11,V3), product-{F}(V12,V3,V11), product-{F}(V1,V12,V13), product-{F}(V12,V13,V3), product-{F}(V2,V12,V14), product-{F}(V12,V14,V3) | FALSE
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #1451: mergings( V0 == V8, V8 == V17, V9 == V18, V10 == V19, V11 == V20, V7 == V16; #1436 ), references = 4, size of lhs = 15:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), P_inverse-{F}(V1,V2), subgroup_member-{F}(V3), P_d-{F}(V4), P_identity-{F}(V5), P_b-{F}(V6), P_a-{F}(V7), P_c-{F}(V8), product-{F}(V3,V9,V4), product-{F}(V10,V2,V9), P_element_in_O2-{F}(V11,V12,V10), P_inverse-{F}(V12,V13), product-{F}(V0,V13,V14), product-{F}(V12,V14,V4) | subgroup_member-{T}(V11)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #1458: mergings( V0 == V8, V8 == V17, V9 == V18, V10 == V19, V11 == V21, V7 == V16; #1438 ), references = 1, size of lhs = 16:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), P_inverse-{F}(V1,V2), subgroup_member-{F}(V3), P_d-{F}(V4), P_identity-{F}(V5), P_b-{F}(V6), P_a-{F}(V7), P_inverse-{F}(V7,V8), P_c-{F}(V9), product-{F}(V3,V10,V4), product-{F}(V11,V2,V10), P_element_in_O2-{F}(V12,V13,V11), P_inverse-{F}(V13,V14), product-{F}(V0,V14,V15), product-{F}(V13,V15,V4) | subgroup_member-{T}(V12)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #1465: mergings( V0 == V8, V8 == V18, V9 == V19, V10 == V20, V12 == V21, V7 == V17; #1439 ), references = 1, size of lhs = 16:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), P_inverse-{F}(V1,V2), subgroup_member-{F}(V3), P_d-{F}(V4), P_identity-{F}(V5), P_b-{F}(V6), P_a-{F}(V7), P_inverse-{F}(V7,V8), P_c-{F}(V9), product-{F}(V3,V10,V4), product-{F}(V11,V2,V10), P_element_in_O2-{F}(V12,V13,V11), P_inverse-{F}(V13,V14), product-{F}(V0,V14,V15), product-{F}(V13,V15,V4) | subgroup_member-{T}(V12)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #1596: mergings( V2 == V3, V3 == V4, V4 == V8, V8 == V14, V9 == V15, V10 == V16, V11 == V17, V7 == V13; #1585 ), references = 17, size of lhs = 21:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), P_d-{F}(V4), P_identity-{F}(V5), P_b-{F}(V6), P_a-{F}(V7), P_c-{F}(V8), product-{F}(V2,V9,V4), product-{F}(V10,V1,V5), product-{F}(V11,V12,V10), product-{F}(V13,V12,V9), product-{F}(V14,V11,V13), P_element_in_O2-{F}(V15,V16,V14), P_inverse-{F}(V16,V17), product-{F}(V0,V17,V18), product-{F}(V16,V18,V4), P_inverse-{F}(V15,V19), product-{F}(V3,V19,V20), product-{F}(V15,V20,V4) | FALSE
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #1605: mergings( V2 == V3, V3 == V4, V4 == V8, V8 == V14, V9 == V15, V10 == V16, V11 == V18, V7 == V13; #1586 ), references = 17, size of lhs = 22:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), P_d-{F}(V4), P_identity-{F}(V5), P_b-{F}(V6), P_a-{F}(V7), P_inverse-{F}(V7,V8), P_c-{F}(V9), product-{F}(V2,V10,V4), product-{F}(V11,V1,V5), product-{F}(V12,V13,V11), product-{F}(V14,V13,V10), product-{F}(V15,V12,V14), P_element_in_O2-{F}(V16,V17,V15), P_inverse-{F}(V17,V18), product-{F}(V0,V18,V19), product-{F}(V17,V19,V4), P_inverse-{F}(V16,V20), product-{F}(V3,V20,V21), product-{F}(V16,V21,V4) | FALSE
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #1615: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V9, V9 == V15, V10 == V16, V11 == V17, V12 == V18, V8 == V14; #1587 ), references = 3, size of lhs = 23:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), P_d-{F}(V4), product-{F}(V2,V4,V4), P_identity-{F}(V5), P_b-{F}(V6), P_a-{F}(V7), P_c-{F}(V8), product-{F}(V1,V9,V4), product-{F}(V5,V9,V4), product-{F}(V10,V1,V5), product-{F}(V11,V12,V10), product-{F}(V13,V12,V4), product-{F}(V14,V11,V13), P_element_in_O2-{F}(V15,V16,V14), P_inverse-{F}(V16,V17), product-{F}(V0,V17,V18), product-{F}(V16,V18,V4), P_inverse-{F}(V15,V19), product-{F}(V3,V19,V20), product-{F}(V15,V20,V14) | FALSE
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #1626: mergings( V0 == V8, V8 == V28, V9 == V29, V10 == V30, V11 == V31, V7 == V27; #1616 ), references = 1, size of lhs = 36:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), subgroup_member-{F}(V4), subgroup_member-{F}(V5), P_d-{F}(V6), P_identity-{F}(V7), P_b-{F}(V8), P_a-{F}(V9), P_c-{F}(V10), product-{F}(V11,V1,V7), product-{F}(V12,V4,V7), product-{F}(V13,V14,V11), P_inverse-{F}(V15,V16), product-{F}(V0,V16,V17), product-{F}(V15,V17,V6), P_element_in_O2-{F}(V18,V15,V19), product-{F}(V19,V13,V20), product-{F}(V20,V14,V21), product-{F}(V22,V21,V6), P_inverse-{F}(V18,V23), product-{F}(V2,V23,V24), product-{F}(V18,V24,V6), P_element_in_O2-{F}(V25,V22,V26), product-{F}(V25,V27,V6), product-{F}(V28,V29,V12), product-{F}(V30,V29,V27), product-{F}(V31,V28,V30), P_element_in_O2-{F}(V32,V33,V31), P_inverse-{F}(V33,V34), product-{F}(V3,V34,V35), product-{F}(V33,V35,V6), P_inverse-{F}(V32,V36), product-{F}(V5,V36,V37), product-{F}(V32,V37,V6) | subgroup_member-{T}(V26)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #1633: mergings( V0 == V8, V8 == V28, V9 == V29, V10 == V30, V11 == V32, V7 == V27; #1617 ), references = 1, size of lhs = 37:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), subgroup_member-{F}(V4), subgroup_member-{F}(V5), P_d-{F}(V6), P_identity-{F}(V7), P_b-{F}(V8), P_a-{F}(V9), P_inverse-{F}(V9,V10), P_c-{F}(V11), product-{F}(V12,V1,V7), product-{F}(V13,V4,V7), product-{F}(V14,V15,V12), P_inverse-{F}(V16,V17), product-{F}(V0,V17,V18), product-{F}(V16,V18,V6), P_element_in_O2-{F}(V19,V16,V20), product-{F}(V20,V14,V21), product-{F}(V21,V15,V22), product-{F}(V23,V22,V6), P_inverse-{F}(V19,V24), product-{F}(V2,V24,V25), product-{F}(V19,V25,V6), P_element_in_O2-{F}(V26,V23,V27), product-{F}(V26,V28,V6), product-{F}(V29,V30,V13), product-{F}(V31,V30,V28), product-{F}(V32,V29,V31), P_element_in_O2-{F}(V33,V34,V32), P_inverse-{F}(V34,V35), product-{F}(V3,V35,V36), product-{F}(V34,V36,V6), P_inverse-{F}(V33,V37), product-{F}(V5,V37,V38), product-{F}(V33,V38,V6) | subgroup_member-{T}(V27)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #1640: mergings( V0 == V8, V8 == V29, V9 == V30, V10 == V31, V12 == V32, V7 == V28; #1618 ), references = 1, size of lhs = 37:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), subgroup_member-{F}(V4), subgroup_member-{F}(V5), P_d-{F}(V6), P_identity-{F}(V7), P_b-{F}(V8), P_a-{F}(V9), P_inverse-{F}(V9,V10), P_c-{F}(V11), product-{F}(V12,V1,V7), product-{F}(V13,V4,V7), product-{F}(V14,V15,V12), P_inverse-{F}(V16,V17), product-{F}(V0,V17,V18), product-{F}(V16,V18,V6), P_element_in_O2-{F}(V19,V16,V20), product-{F}(V20,V14,V21), product-{F}(V21,V15,V22), product-{F}(V23,V22,V6), P_inverse-{F}(V19,V24), product-{F}(V2,V24,V25), product-{F}(V19,V25,V6), P_element_in_O2-{F}(V26,V23,V27), product-{F}(V26,V28,V6), product-{F}(V29,V30,V13), product-{F}(V31,V30,V28), product-{F}(V32,V29,V31), P_element_in_O2-{F}(V33,V34,V32), P_inverse-{F}(V34,V35), product-{F}(V3,V35,V36), product-{F}(V34,V36,V6), P_inverse-{F}(V33,V37), product-{F}(V5,V37,V38), product-{F}(V33,V38,V6) | subgroup_member-{T}(V27)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #1651: mergings( V0 == V8, V8 == V28, V9 == V29, V10 == V30, V11 == V31, V7 == V27; #1641 ), references = 1, size of lhs = 36:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), subgroup_member-{F}(V4), subgroup_member-{F}(V5), P_d-{F}(V6), P_identity-{F}(V7), P_b-{F}(V8), P_a-{F}(V9), P_c-{F}(V10), product-{F}(V11,V1,V7), product-{F}(V12,V4,V7), product-{F}(V13,V14,V11), P_inverse-{F}(V15,V16), product-{F}(V0,V16,V17), product-{F}(V15,V17,V6), P_element_in_O2-{F}(V18,V15,V19), product-{F}(V19,V13,V20), product-{F}(V20,V14,V21), product-{F}(V22,V21,V6), P_inverse-{F}(V18,V23), product-{F}(V2,V23,V24), product-{F}(V18,V24,V6), P_element_in_O2-{F}(V25,V22,V26), product-{F}(V25,V27,V6), product-{F}(V28,V29,V12), product-{F}(V30,V29,V27), product-{F}(V31,V28,V30), P_element_in_O2-{F}(V32,V33,V31), P_inverse-{F}(V33,V34), product-{F}(V3,V34,V35), product-{F}(V33,V35,V6), P_inverse-{F}(V32,V36), product-{F}(V5,V36,V37), product-{F}(V32,V37,V6) | product-{T}(V25,V26,V22)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #1658: mergings( V0 == V8, V8 == V28, V9 == V29, V10 == V30, V11 == V32, V7 == V27; #1642 ), references = 1, size of lhs = 37:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), subgroup_member-{F}(V4), subgroup_member-{F}(V5), P_d-{F}(V6), P_identity-{F}(V7), P_b-{F}(V8), P_a-{F}(V9), P_inverse-{F}(V9,V10), P_c-{F}(V11), product-{F}(V12,V1,V7), product-{F}(V13,V4,V7), product-{F}(V14,V15,V12), P_inverse-{F}(V16,V17), product-{F}(V0,V17,V18), product-{F}(V16,V18,V6), P_element_in_O2-{F}(V19,V16,V20), product-{F}(V20,V14,V21), product-{F}(V21,V15,V22), product-{F}(V23,V22,V6), P_inverse-{F}(V19,V24), product-{F}(V2,V24,V25), product-{F}(V19,V25,V6), P_element_in_O2-{F}(V26,V23,V27), product-{F}(V26,V28,V6), product-{F}(V29,V30,V13), product-{F}(V31,V30,V28), product-{F}(V32,V29,V31), P_element_in_O2-{F}(V33,V34,V32), P_inverse-{F}(V34,V35), product-{F}(V3,V35,V36), product-{F}(V34,V36,V6), P_inverse-{F}(V33,V37), product-{F}(V5,V37,V38), product-{F}(V33,V38,V6) | product-{T}(V26,V27,V23)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #1665: mergings( V0 == V8, V8 == V29, V9 == V30, V10 == V31, V12 == V32, V7 == V28; #1643 ), references = 1, size of lhs = 37:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), subgroup_member-{F}(V4), subgroup_member-{F}(V5), P_d-{F}(V6), P_identity-{F}(V7), P_b-{F}(V8), P_a-{F}(V9), P_inverse-{F}(V9,V10), P_c-{F}(V11), product-{F}(V12,V1,V7), product-{F}(V13,V4,V7), product-{F}(V14,V15,V12), P_inverse-{F}(V16,V17), product-{F}(V0,V17,V18), product-{F}(V16,V18,V6), P_element_in_O2-{F}(V19,V16,V20), product-{F}(V20,V14,V21), product-{F}(V21,V15,V22), product-{F}(V23,V22,V6), P_inverse-{F}(V19,V24), product-{F}(V2,V24,V25), product-{F}(V19,V25,V6), P_element_in_O2-{F}(V26,V23,V27), product-{F}(V26,V28,V6), product-{F}(V29,V30,V13), product-{F}(V31,V30,V28), product-{F}(V32,V29,V31), P_element_in_O2-{F}(V33,V34,V32), P_inverse-{F}(V34,V35), product-{F}(V3,V35,V36), product-{F}(V34,V36,V6), P_inverse-{F}(V33,V37), product-{F}(V5,V37,V38), product-{F}(V33,V38,V6) | product-{T}(V26,V27,V23)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #1691: mergings( V0 == V7, V7 == V26, V8 == V27, V9 == V28, V10 == V29, V6 == V25; #1681 ), references = 1, size of lhs = 34:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), P_d-{F}(V4), P_identity-{F}(V5), P_b-{F}(V6), P_a-{F}(V7), P_c-{F}(V8), P_inverse-{F}(V9,V10), product-{F}(V0,V10,V11), product-{F}(V9,V11,V4), P_element_in_O2-{F}(V12,V9,V13), P_inverse-{F}(V12,V14), product-{F}(V1,V14,V15), product-{F}(V12,V15,V4), product-{F}(V13,V16,V17), product-{F}(V16,V18,V19), product-{F}(V19,V20,V5), product-{F}(V17,V18,V21), product-{F}(V20,V21,V4), P_element_in_O2-{F}(V22,V20,V23), product-{F}(V22,V24,V4), product-{F}(V25,V22,V5), product-{F}(V26,V27,V25), product-{F}(V28,V27,V24), product-{F}(V29,V26,V28), P_element_in_O2-{F}(V30,V31,V29), P_inverse-{F}(V31,V32), product-{F}(V2,V32,V33), product-{F}(V31,V33,V4), P_inverse-{F}(V30,V34), product-{F}(V3,V34,V35), product-{F}(V30,V35,V4) | product-{T}(V22,V23,V20)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #1698: mergings( V0 == V7, V7 == V26, V8 == V27, V9 == V28, V10 == V30, V6 == V25; #1682 ), references = 1, size of lhs = 35:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), P_d-{F}(V4), P_identity-{F}(V5), P_b-{F}(V6), P_a-{F}(V7), P_inverse-{F}(V7,V8), P_c-{F}(V9), P_inverse-{F}(V10,V11), product-{F}(V0,V11,V12), product-{F}(V10,V12,V4), P_element_in_O2-{F}(V13,V10,V14), P_inverse-{F}(V13,V15), product-{F}(V1,V15,V16), product-{F}(V13,V16,V4), product-{F}(V14,V17,V18), product-{F}(V17,V19,V20), product-{F}(V20,V21,V5), product-{F}(V18,V19,V22), product-{F}(V21,V22,V4), P_element_in_O2-{F}(V23,V21,V24), product-{F}(V23,V25,V4), product-{F}(V26,V23,V5), product-{F}(V27,V28,V26), product-{F}(V29,V28,V25), product-{F}(V30,V27,V29), P_element_in_O2-{F}(V31,V32,V30), P_inverse-{F}(V32,V33), product-{F}(V2,V33,V34), product-{F}(V32,V34,V4), P_inverse-{F}(V31,V35), product-{F}(V3,V35,V36), product-{F}(V31,V36,V4) | product-{T}(V23,V24,V21)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #1705: mergings( V0 == V7, V7 == V27, V8 == V28, V9 == V29, V11 == V30, V6 == V26; #1683 ), references = 1, size of lhs = 35:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), P_d-{F}(V4), P_identity-{F}(V5), P_b-{F}(V6), P_a-{F}(V7), P_inverse-{F}(V7,V8), P_c-{F}(V9), P_inverse-{F}(V10,V11), product-{F}(V0,V11,V12), product-{F}(V10,V12,V4), P_element_in_O2-{F}(V13,V10,V14), P_inverse-{F}(V13,V15), product-{F}(V1,V15,V16), product-{F}(V13,V16,V4), product-{F}(V14,V17,V18), product-{F}(V17,V19,V20), product-{F}(V20,V21,V5), product-{F}(V18,V19,V22), product-{F}(V21,V22,V4), P_element_in_O2-{F}(V23,V21,V24), product-{F}(V23,V25,V4), product-{F}(V26,V23,V5), product-{F}(V27,V28,V26), product-{F}(V29,V28,V25), product-{F}(V30,V27,V29), P_element_in_O2-{F}(V31,V32,V30), P_inverse-{F}(V32,V33), product-{F}(V2,V33,V34), product-{F}(V32,V34,V4), P_inverse-{F}(V31,V35), product-{F}(V3,V35,V36), product-{F}(V31,V36,V4) | product-{T}(V23,V24,V21)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #1854: mergings( V0 == V4, V4 == V9, V9 == V21, V10 == V22, V11 == V23, V12 == V24, V8 == V20; #1841 ), references = 1, size of lhs = 32:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), subgroup_member-{F}(V4), subgroup_member-{F}(V5), P_d-{F}(V6), P_identity-{F}(V7), P_b-{F}(V8), P_a-{F}(V9), P_c-{F}(V10), product-{F}(V7,V11,V12), product-{F}(V0,V11,V13), product-{F}(V12,V6,V13), product-{F}(V1,V12,V13), product-{F}(V2,V12,V13), P_element_in_O2-{F}(V14,V12,V15), product-{F}(V15,V13,V16), product-{F}(V14,V16,V6), product-{F}(V14,V3,V17), product-{F}(V14,V18,V6), product-{F}(V19,V17,V7), product-{F}(V20,V21,V19), product-{F}(V22,V21,V18), product-{F}(V23,V20,V22), P_element_in_O2-{F}(V24,V25,V23), P_inverse-{F}(V25,V26), product-{F}(V4,V26,V27), product-{F}(V25,V27,V6), P_inverse-{F}(V24,V28), product-{F}(V5,V28,V29), product-{F}(V24,V29,V6) | subgroup_member-{T}(V12)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #1862: mergings( V0 == V4, V4 == V9, V9 == V21, V10 == V22, V11 == V23, V12 == V25, V8 == V20; #1842 ), references = 1, size of lhs = 33:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), subgroup_member-{F}(V4), subgroup_member-{F}(V5), P_d-{F}(V6), P_identity-{F}(V7), P_b-{F}(V8), P_a-{F}(V9), P_inverse-{F}(V9,V10), P_c-{F}(V11), product-{F}(V7,V12,V13), product-{F}(V0,V12,V14), product-{F}(V13,V6,V14), product-{F}(V1,V13,V14), product-{F}(V2,V13,V14), P_element_in_O2-{F}(V15,V13,V16), product-{F}(V16,V14,V17), product-{F}(V15,V17,V6), product-{F}(V15,V3,V18), product-{F}(V15,V19,V6), product-{F}(V20,V18,V7), product-{F}(V21,V22,V20), product-{F}(V23,V22,V19), product-{F}(V24,V21,V23), P_element_in_O2-{F}(V25,V26,V24), P_inverse-{F}(V26,V27), product-{F}(V4,V27,V28), product-{F}(V26,V28,V6), P_inverse-{F}(V25,V29), product-{F}(V5,V29,V30), product-{F}(V25,V30,V6) | subgroup_member-{T}(V13)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #1870: mergings( V0 == V4, V4 == V9, V9 == V22, V10 == V23, V11 == V24, V13 == V25, V8 == V21; #1843 ), references = 1, size of lhs = 33:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), subgroup_member-{F}(V4), subgroup_member-{F}(V5), P_d-{F}(V6), P_identity-{F}(V7), P_b-{F}(V8), P_a-{F}(V9), P_inverse-{F}(V9,V10), P_c-{F}(V11), product-{F}(V7,V12,V13), product-{F}(V0,V12,V14), product-{F}(V13,V6,V14), product-{F}(V1,V13,V14), product-{F}(V2,V13,V14), P_element_in_O2-{F}(V15,V13,V16), product-{F}(V16,V14,V17), product-{F}(V15,V17,V6), product-{F}(V15,V3,V18), product-{F}(V15,V19,V6), product-{F}(V20,V18,V7), product-{F}(V21,V22,V20), product-{F}(V23,V22,V19), product-{F}(V24,V21,V23), P_element_in_O2-{F}(V25,V26,V24), P_inverse-{F}(V26,V27), product-{F}(V4,V27,V28), product-{F}(V26,V28,V6), P_inverse-{F}(V25,V29), product-{F}(V5,V29,V30), product-{F}(V25,V30,V6) | subgroup_member-{T}(V13)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #1899: mergings( V0 == V10, V10 == V31, V11 == V32, V12 == V33, V13 == V34, V9 == V30; #1889 ), references = 1, size of lhs = 39:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), subgroup_member-{F}(V4), subgroup_member-{F}(V5), P_d-{F}(V6), P_identity-{F}(V7), P_b-{F}(V8), P_a-{F}(V9), P_c-{F}(V10), P_inverse-{F}(V11,V12), product-{F}(V12,V0,V13), product-{F}(V13,V14,V6), product-{F}(V15,V12,V7), P_element_in_O2-{F}(V16,V11,V17), product-{F}(V17,V3,V18), product-{F}(V17,V19,V6), product-{F}(V20,V18,V7), product-{F}(V21,V22,V15), product-{F}(V23,V22,V14), product-{F}(V24,V21,V23), P_element_in_O2-{F}(V25,V26,V24), P_inverse-{F}(V26,V27), product-{F}(V1,V27,V28), product-{F}(V26,V28,V6), P_inverse-{F}(V25,V29), product-{F}(V2,V29,V30), product-{F}(V25,V30,V6), product-{F}(V31,V32,V20), product-{F}(V33,V32,V19), product-{F}(V34,V31,V33), P_element_in_O2-{F}(V35,V36,V34), P_inverse-{F}(V36,V37), product-{F}(V4,V37,V38), product-{F}(V36,V38,V6), P_inverse-{F}(V35,V39), product-{F}(V5,V39,V40), product-{F}(V35,V40,V6) | subgroup_member-{T}(V16)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #1906: mergings( V0 == V10, V10 == V31, V11 == V32, V12 == V33, V13 == V35, V9 == V30; #1890 ), references = 1, size of lhs = 40:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), subgroup_member-{F}(V4), subgroup_member-{F}(V5), P_d-{F}(V6), P_identity-{F}(V7), P_b-{F}(V8), P_a-{F}(V9), P_inverse-{F}(V9,V10), P_c-{F}(V11), P_inverse-{F}(V12,V13), product-{F}(V13,V0,V14), product-{F}(V14,V15,V6), product-{F}(V16,V13,V7), P_element_in_O2-{F}(V17,V12,V18), product-{F}(V18,V3,V19), product-{F}(V18,V20,V6), product-{F}(V21,V19,V7), product-{F}(V22,V23,V16), product-{F}(V24,V23,V15), product-{F}(V25,V22,V24), P_element_in_O2-{F}(V26,V27,V25), P_inverse-{F}(V27,V28), product-{F}(V1,V28,V29), product-{F}(V27,V29,V6), P_inverse-{F}(V26,V30), product-{F}(V2,V30,V31), product-{F}(V26,V31,V6), product-{F}(V32,V33,V21), product-{F}(V34,V33,V20), product-{F}(V35,V32,V34), P_element_in_O2-{F}(V36,V37,V35), P_inverse-{F}(V37,V38), product-{F}(V4,V38,V39), product-{F}(V37,V39,V6), P_inverse-{F}(V36,V40), product-{F}(V5,V40,V41), product-{F}(V36,V41,V6) | subgroup_member-{T}(V17)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #1913: mergings( V0 == V10, V10 == V32, V11 == V33, V12 == V34, V14 == V35, V9 == V31; #1891 ), references = 1, size of lhs = 40:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), subgroup_member-{F}(V4), subgroup_member-{F}(V5), P_d-{F}(V6), P_identity-{F}(V7), P_b-{F}(V8), P_a-{F}(V9), P_inverse-{F}(V9,V10), P_c-{F}(V11), P_inverse-{F}(V12,V13), product-{F}(V13,V0,V14), product-{F}(V14,V15,V6), product-{F}(V16,V13,V7), P_element_in_O2-{F}(V17,V12,V18), product-{F}(V18,V3,V19), product-{F}(V18,V20,V6), product-{F}(V21,V19,V7), product-{F}(V22,V23,V16), product-{F}(V24,V23,V15), product-{F}(V25,V22,V24), P_element_in_O2-{F}(V26,V27,V25), P_inverse-{F}(V27,V28), product-{F}(V1,V28,V29), product-{F}(V27,V29,V6), P_inverse-{F}(V26,V30), product-{F}(V2,V30,V31), product-{F}(V26,V31,V6), product-{F}(V32,V33,V21), product-{F}(V34,V33,V20), product-{F}(V35,V32,V34), P_element_in_O2-{F}(V36,V37,V35), P_inverse-{F}(V37,V38), product-{F}(V4,V38,V39), product-{F}(V37,V39,V6), P_inverse-{F}(V36,V40), product-{F}(V5,V40,V41), product-{F}(V36,V41,V6) | subgroup_member-{T}(V17)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #1932: mergings( V0 == V10, V10 == V32, V11 == V33, V12 == V34, V13 == V35, V9 == V31; #1922 ), references = 1, size of lhs = 40:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), subgroup_member-{F}(V4), subgroup_member-{F}(V5), P_d-{F}(V6), P_identity-{F}(V7), P_b-{F}(V8), P_a-{F}(V9), P_c-{F}(V10), P_inverse-{F}(V11,V12), product-{F}(V12,V0,V13), product-{F}(V13,V14,V6), product-{F}(V15,V12,V7), P_element_in_O2-{F}(V16,V11,V17), P_inverse-{F}(V17,V18), product-{F}(V18,V3,V19), product-{F}(V19,V20,V6), product-{F}(V21,V18,V7), product-{F}(V22,V23,V15), product-{F}(V24,V23,V14), product-{F}(V25,V22,V24), P_element_in_O2-{F}(V26,V27,V25), P_inverse-{F}(V27,V28), product-{F}(V1,V28,V29), product-{F}(V27,V29,V6), P_inverse-{F}(V26,V30), product-{F}(V2,V30,V31), product-{F}(V26,V31,V6), product-{F}(V32,V33,V21), product-{F}(V34,V33,V20), product-{F}(V35,V32,V34), P_element_in_O2-{F}(V36,V37,V35), P_inverse-{F}(V37,V38), product-{F}(V4,V38,V39), product-{F}(V37,V39,V6), P_inverse-{F}(V36,V40), product-{F}(V5,V40,V41), product-{F}(V36,V41,V6) | subgroup_member-{T}(V16)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #1939: mergings( V0 == V10, V10 == V32, V11 == V33, V12 == V34, V13 == V36, V9 == V31; #1923 ), references = 1, size of lhs = 41:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), subgroup_member-{F}(V4), subgroup_member-{F}(V5), P_d-{F}(V6), P_identity-{F}(V7), P_b-{F}(V8), P_a-{F}(V9), P_inverse-{F}(V9,V10), P_c-{F}(V11), P_inverse-{F}(V12,V13), product-{F}(V13,V0,V14), product-{F}(V14,V15,V6), product-{F}(V16,V13,V7), P_element_in_O2-{F}(V17,V12,V18), P_inverse-{F}(V18,V19), product-{F}(V19,V3,V20), product-{F}(V20,V21,V6), product-{F}(V22,V19,V7), product-{F}(V23,V24,V16), product-{F}(V25,V24,V15), product-{F}(V26,V23,V25), P_element_in_O2-{F}(V27,V28,V26), P_inverse-{F}(V28,V29), product-{F}(V1,V29,V30), product-{F}(V28,V30,V6), P_inverse-{F}(V27,V31), product-{F}(V2,V31,V32), product-{F}(V27,V32,V6), product-{F}(V33,V34,V22), product-{F}(V35,V34,V21), product-{F}(V36,V33,V35), P_element_in_O2-{F}(V37,V38,V36), P_inverse-{F}(V38,V39), product-{F}(V4,V39,V40), product-{F}(V38,V40,V6), P_inverse-{F}(V37,V41), product-{F}(V5,V41,V42), product-{F}(V37,V42,V6) | subgroup_member-{T}(V17)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #1946: mergings( V0 == V10, V10 == V33, V11 == V34, V12 == V35, V14 == V36, V9 == V32; #1924 ), references = 1, size of lhs = 41:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), subgroup_member-{F}(V4), subgroup_member-{F}(V5), P_d-{F}(V6), P_identity-{F}(V7), P_b-{F}(V8), P_a-{F}(V9), P_inverse-{F}(V9,V10), P_c-{F}(V11), P_inverse-{F}(V12,V13), product-{F}(V13,V0,V14), product-{F}(V14,V15,V6), product-{F}(V16,V13,V7), P_element_in_O2-{F}(V17,V12,V18), P_inverse-{F}(V18,V19), product-{F}(V19,V3,V20), product-{F}(V20,V21,V6), product-{F}(V22,V19,V7), product-{F}(V23,V24,V16), product-{F}(V25,V24,V15), product-{F}(V26,V23,V25), P_element_in_O2-{F}(V27,V28,V26), P_inverse-{F}(V28,V29), product-{F}(V1,V29,V30), product-{F}(V28,V30,V6), P_inverse-{F}(V27,V31), product-{F}(V2,V31,V32), product-{F}(V27,V32,V6), product-{F}(V33,V34,V22), product-{F}(V35,V34,V21), product-{F}(V36,V33,V35), P_element_in_O2-{F}(V37,V38,V36), P_inverse-{F}(V38,V39), product-{F}(V4,V39,V40), product-{F}(V38,V40,V6), P_inverse-{F}(V37,V41), product-{F}(V5,V41,V42), product-{F}(V37,V42,V6) | subgroup_member-{T}(V17)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #1967: mergings( V0 == V10, V10 == V26, V11 == V27, V12 == V28, V13 == V29, V9 == V3; #1955 ), references = 1, size of lhs = 23:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), P_identity-{F}(V3), P_b-{F}(V4), P_a-{F}(V5), P_c-{F}(V6), P_d-{F}(V7), P_element_in_O2-{F}(V8,V9,V7), P_inverse-{F}(V9,V10), product-{F}(V10,V0,V11), product-{F}(V11,V12,V7), product-{F}(V13,V10,V3), product-{F}(V14,V15,V13), product-{F}(V16,V15,V12), product-{F}(V17,V14,V16), P_element_in_O2-{F}(V18,V19,V17), P_inverse-{F}(V19,V20), product-{F}(V1,V20,V21), product-{F}(V19,V21,V7), P_inverse-{F}(V18,V22), product-{F}(V2,V22,V23), product-{F}(V18,V23,V7) | subgroup_member-{T}(V8)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #1974: mergings( V0 == V10, V10 == V26, V11 == V27, V12 == V28, V13 == V30, V9 == V3; #1957 ), references = 1, size of lhs = 24:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), P_identity-{F}(V3), P_b-{F}(V4), P_a-{F}(V5), P_inverse-{F}(V5,V6), P_c-{F}(V7), P_d-{F}(V8), P_element_in_O2-{F}(V9,V10,V8), P_inverse-{F}(V10,V11), product-{F}(V11,V0,V12), product-{F}(V12,V13,V8), product-{F}(V14,V11,V3), product-{F}(V15,V16,V14), product-{F}(V17,V16,V13), product-{F}(V18,V15,V17), P_element_in_O2-{F}(V19,V20,V18), P_inverse-{F}(V20,V21), product-{F}(V1,V21,V22), product-{F}(V20,V22,V8), P_inverse-{F}(V19,V23), product-{F}(V2,V23,V24), product-{F}(V19,V24,V8) | subgroup_member-{T}(V9)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #1981: mergings( V0 == V10, V10 == V27, V11 == V28, V12 == V29, V14 == V30, V9 == V3; #1958 ), references = 1, size of lhs = 24:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), P_identity-{F}(V3), P_b-{F}(V4), P_a-{F}(V5), P_inverse-{F}(V5,V6), P_c-{F}(V7), P_d-{F}(V8), P_element_in_O2-{F}(V9,V10,V8), P_inverse-{F}(V10,V11), product-{F}(V11,V0,V12), product-{F}(V12,V13,V8), product-{F}(V14,V11,V3), product-{F}(V15,V16,V14), product-{F}(V17,V16,V13), product-{F}(V18,V15,V17), P_element_in_O2-{F}(V19,V20,V18), P_inverse-{F}(V20,V21), product-{F}(V1,V21,V22), product-{F}(V20,V22,V8), P_inverse-{F}(V19,V23), product-{F}(V2,V23,V24), product-{F}(V19,V24,V8) | subgroup_member-{T}(V9)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #2003: mergings( V0 == V10, V10 == V26, V26 == V27, V27 == V33, V11 == V34, V12 == V35, V13 == V36, V9 == V32; #1993 ), references = 1, size of lhs = 43:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), subgroup_member-{F}(V4), subgroup_member-{F}(V5), subgroup_member-{F}(V6), P_d-{F}(V7), product-{F}(V5,V7,V7), P_identity-{F}(V8), P_b-{F}(V9), P_a-{F}(V10), P_c-{F}(V11), product-{F}(V4,V12,V7), product-{F}(V8,V12,V7), product-{F}(V13,V4,V8), P_inverse-{F}(V14,V15), product-{F}(V1,V15,V16), product-{F}(V14,V16,V7), P_element_in_O2-{F}(V17,V14,V18), P_inverse-{F}(V17,V19), product-{F}(V2,V19,V20), product-{F}(V17,V20,V7), product-{F}(V18,V21,V22), product-{F}(V21,V23,V24), product-{F}(V22,V23,V25), product-{F}(V26,V25,V7), product-{F}(V27,V0,V26), product-{F}(V24,V27,V8), P_inverse-{F}(V28,V27), product-{F}(V29,V28,V7), P_element_in_O2-{F}(V29,V28,V30), product-{F}(V31,V30,V28), product-{F}(V32,V30,V13), product-{F}(V33,V29,V32), product-{F}(V34,V33,V31), P_inverse-{F}(V35,V36), product-{F}(V3,V36,V37), product-{F}(V35,V37,V7), P_element_in_O2-{F}(V38,V35,V34), P_inverse-{F}(V38,V39), product-{F}(V6,V39,V40), product-{F}(V38,V40,V34) | subgroup_member-{T}(V29)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #2012: mergings( V0 == V10, V10 == V27, V27 == V28, V28 == V34, V11 == V35, V12 == V36, V14 == V37, V9 == V33; #1994 ), references = 1, size of lhs = 44:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), subgroup_member-{F}(V4), subgroup_member-{F}(V5), subgroup_member-{F}(V6), P_d-{F}(V7), product-{F}(V5,V7,V7), P_identity-{F}(V8), P_b-{F}(V9), P_a-{F}(V10), P_inverse-{F}(V10,V11), P_c-{F}(V12), product-{F}(V4,V13,V7), product-{F}(V8,V13,V7), product-{F}(V14,V4,V8), P_inverse-{F}(V15,V16), product-{F}(V1,V16,V17), product-{F}(V15,V17,V7), P_element_in_O2-{F}(V18,V15,V19), P_inverse-{F}(V18,V20), product-{F}(V2,V20,V21), product-{F}(V18,V21,V7), product-{F}(V19,V22,V23), product-{F}(V22,V24,V25), product-{F}(V23,V24,V26), product-{F}(V27,V26,V7), product-{F}(V28,V0,V27), product-{F}(V25,V28,V8), P_inverse-{F}(V29,V28), product-{F}(V30,V29,V7), P_element_in_O2-{F}(V30,V29,V31), product-{F}(V32,V31,V29), product-{F}(V33,V31,V14), product-{F}(V34,V30,V33), product-{F}(V35,V34,V32), P_inverse-{F}(V36,V37), product-{F}(V3,V37,V38), product-{F}(V36,V38,V7), P_element_in_O2-{F}(V39,V36,V35), P_inverse-{F}(V39,V40), product-{F}(V6,V40,V41), product-{F}(V39,V41,V35) | subgroup_member-{T}(V30)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #2125: mergings( V0 == V10, V10 == V31, V11 == V32, V12 == V33, V13 == V34, V9 == V30; #2115 ), references = 1, size of lhs = 39:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), subgroup_member-{F}(V4), subgroup_member-{F}(V5), P_d-{F}(V6), P_identity-{F}(V7), P_b-{F}(V8), P_a-{F}(V9), P_c-{F}(V10), P_inverse-{F}(V11,V12), product-{F}(V12,V0,V13), product-{F}(V13,V14,V6), product-{F}(V15,V12,V7), P_element_in_O2-{F}(V16,V11,V17), product-{F}(V16,V3,V18), product-{F}(V16,V19,V6), product-{F}(V20,V18,V7), product-{F}(V21,V22,V15), product-{F}(V23,V22,V14), product-{F}(V24,V21,V23), P_element_in_O2-{F}(V25,V26,V24), P_inverse-{F}(V26,V27), product-{F}(V1,V27,V28), product-{F}(V26,V28,V6), P_inverse-{F}(V25,V29), product-{F}(V2,V29,V30), product-{F}(V25,V30,V6), product-{F}(V31,V32,V20), product-{F}(V33,V32,V19), product-{F}(V34,V31,V33), P_element_in_O2-{F}(V35,V36,V34), P_inverse-{F}(V36,V37), product-{F}(V4,V37,V38), product-{F}(V36,V38,V6), P_inverse-{F}(V35,V39), product-{F}(V5,V39,V40), product-{F}(V35,V40,V6) | subgroup_member-{T}(V17)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #2132: mergings( V0 == V10, V10 == V31, V11 == V32, V12 == V33, V13 == V35, V9 == V30; #2116 ), references = 1, size of lhs = 40:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), subgroup_member-{F}(V4), subgroup_member-{F}(V5), P_d-{F}(V6), P_identity-{F}(V7), P_b-{F}(V8), P_a-{F}(V9), P_inverse-{F}(V9,V10), P_c-{F}(V11), P_inverse-{F}(V12,V13), product-{F}(V13,V0,V14), product-{F}(V14,V15,V6), product-{F}(V16,V13,V7), P_element_in_O2-{F}(V17,V12,V18), product-{F}(V17,V3,V19), product-{F}(V17,V20,V6), product-{F}(V21,V19,V7), product-{F}(V22,V23,V16), product-{F}(V24,V23,V15), product-{F}(V25,V22,V24), P_element_in_O2-{F}(V26,V27,V25), P_inverse-{F}(V27,V28), product-{F}(V1,V28,V29), product-{F}(V27,V29,V6), P_inverse-{F}(V26,V30), product-{F}(V2,V30,V31), product-{F}(V26,V31,V6), product-{F}(V32,V33,V21), product-{F}(V34,V33,V20), product-{F}(V35,V32,V34), P_element_in_O2-{F}(V36,V37,V35), P_inverse-{F}(V37,V38), product-{F}(V4,V38,V39), product-{F}(V37,V39,V6), P_inverse-{F}(V36,V40), product-{F}(V5,V40,V41), product-{F}(V36,V41,V6) | subgroup_member-{T}(V18)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #2139: mergings( V0 == V10, V10 == V32, V11 == V33, V12 == V34, V14 == V35, V9 == V31; #2117 ), references = 1, size of lhs = 40:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), subgroup_member-{F}(V4), subgroup_member-{F}(V5), P_d-{F}(V6), P_identity-{F}(V7), P_b-{F}(V8), P_a-{F}(V9), P_inverse-{F}(V9,V10), P_c-{F}(V11), P_inverse-{F}(V12,V13), product-{F}(V13,V0,V14), product-{F}(V14,V15,V6), product-{F}(V16,V13,V7), P_element_in_O2-{F}(V17,V12,V18), product-{F}(V17,V3,V19), product-{F}(V17,V20,V6), product-{F}(V21,V19,V7), product-{F}(V22,V23,V16), product-{F}(V24,V23,V15), product-{F}(V25,V22,V24), P_element_in_O2-{F}(V26,V27,V25), P_inverse-{F}(V27,V28), product-{F}(V1,V28,V29), product-{F}(V27,V29,V6), P_inverse-{F}(V26,V30), product-{F}(V2,V30,V31), product-{F}(V26,V31,V6), product-{F}(V32,V33,V21), product-{F}(V34,V33,V20), product-{F}(V35,V32,V34), P_element_in_O2-{F}(V36,V37,V35), P_inverse-{F}(V37,V38), product-{F}(V4,V38,V39), product-{F}(V37,V39,V6), P_inverse-{F}(V36,V40), product-{F}(V5,V40,V41), product-{F}(V36,V41,V6) | subgroup_member-{T}(V18)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #2201: mergings( V0 == V10, V10 == V26, V26 == V27, V27 == V28, V11 == V3, V12 == V29; #2189 ), references = 1, size of lhs = 28:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), P_d-{F}(V3), P_c-{F}(V4), subgroup_member-{F}(V5), P_identity-{F}(V5), P_b-{F}(V6), P_a-{F}(V7), P_inverse-{F}(V8,V9), product-{F}(V1,V9,V10), product-{F}(V8,V10,V3), P_element_in_O2-{F}(V11,V8,V12), P_inverse-{F}(V11,V13), product-{F}(V2,V13,V14), product-{F}(V11,V14,V3), product-{F}(V12,V15,V16), product-{F}(V15,V17,V18), product-{F}(V16,V17,V19), product-{F}(V20,V19,V3), product-{F}(V21,V0,V20), product-{F}(V18,V21,V5), P_inverse-{F}(V22,V21), P_element_in_O2-{F}(V23,V22,V6), product-{F}(V23,V24,V22), product-{F}(V25,V26,V24), product-{F}(V7,V25,V27), product-{F}(V27,V26,V7) | subgroup_member-{T}(V23)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #2209: mergings( V0 == V10, V10 == V26, V26 == V27, V27 == V28, V11 == V3, V12 == V29, V13 == V30; #2190 ), references = 1, size of lhs = 28:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), P_d-{F}(V3), subgroup_member-{F}(V4), P_identity-{F}(V4), P_b-{F}(V5), P_a-{F}(V6), P_c-{F}(V7), P_inverse-{F}(V8,V9), product-{F}(V1,V9,V10), product-{F}(V8,V10,V3), P_element_in_O2-{F}(V11,V8,V12), P_inverse-{F}(V11,V13), product-{F}(V2,V13,V14), product-{F}(V11,V14,V3), product-{F}(V12,V15,V16), product-{F}(V15,V17,V18), product-{F}(V16,V17,V19), product-{F}(V20,V19,V3), product-{F}(V21,V0,V20), product-{F}(V18,V21,V4), P_inverse-{F}(V22,V21), P_element_in_O2-{F}(V23,V22,V5), product-{F}(V23,V24,V22), product-{F}(V25,V26,V24), product-{F}(V6,V25,V27), product-{F}(V27,V26,V6) | subgroup_member-{T}(V23)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #2216: mergings( V0 == V10, V10 == V27, V27 == V28, V28 == V29, V11 == V3, V12 == V30; #2192 ), references = 1, size of lhs = 29:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), P_d-{F}(V3), P_c-{F}(V4), subgroup_member-{F}(V5), P_identity-{F}(V5), P_b-{F}(V6), P_a-{F}(V7), P_inverse-{F}(V7,V8), P_inverse-{F}(V9,V10), product-{F}(V1,V10,V11), product-{F}(V9,V11,V3), P_element_in_O2-{F}(V12,V9,V13), P_inverse-{F}(V12,V14), product-{F}(V2,V14,V15), product-{F}(V12,V15,V3), product-{F}(V13,V16,V17), product-{F}(V16,V18,V19), product-{F}(V17,V18,V20), product-{F}(V21,V20,V3), product-{F}(V22,V0,V21), product-{F}(V19,V22,V5), P_inverse-{F}(V23,V22), P_element_in_O2-{F}(V24,V23,V6), product-{F}(V24,V25,V23), product-{F}(V26,V27,V25), product-{F}(V7,V26,V28), product-{F}(V28,V27,V7) | subgroup_member-{T}(V24)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #2240: mergings( V0 == V4, V4 == V8, V5 == V9, V6 == V10, V7 == V11, V2 == V3; #2225 ), references = 1, size of lhs = 6:
% 41.30/41.52 P_identity-{F}(V0), P_b-{F}(V1), P_a-{F}(V2), P_c-{F}(V3), P_d-{F}(V4), P_element_in_O2-{F}(V5,V4,V4) | subgroup_member-{T}(V5)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #2247: mergings( V0 == V4, V4 == V9, V5 == V10, V6 == V11, V7 == V12, V2 == V8; #2226 ), references = 1, size of lhs = 14:
% 41.30/41.52 P_d-{F}(V0), P_identity-{F}(V1), P_b-{F}(V2), P_a-{F}(V3), P_c-{F}(V4), P_element_in_O2-{F}(V5,V0,V6), product-{F}(V1,V7,V8), product-{F}(V6,V7,V9), product-{F}(V8,V9,V0), product-{F}(V10,V0,V9), product-{F}(V6,V10,V11), product-{F}(V10,V11,V0), product-{F}(V6,V10,V12), product-{F}(V10,V12,V0) | subgroup_member-{T}(V5)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #2254: mergings( V0 == V5, V5 == V15, V6 == V16, V7 == V17, V8 == V18, V4 == V3; #2228 ), references = 1, size of lhs = 14:
% 41.30/41.52 P_identity-{F}(V0), P_b-{F}(V1), P_a-{F}(V2), P_c-{F}(V3), P_d-{F}(V4), P_element_in_O2-{F}(V5,V6,V4), product-{F}(V0,V7,V8), product-{F}(V6,V7,V9), product-{F}(V8,V9,V4), product-{F}(V10,V4,V9), product-{F}(V6,V10,V11), product-{F}(V10,V11,V4), product-{F}(V6,V10,V12), product-{F}(V10,V12,V4) | subgroup_member-{T}(V5)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #2273: mergings( V0 == V4, V4 == V13, V5 == V14, V6 == V15, V7 == V16, V2 == V12; #2261 ), references = 3, size of lhs = 22:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), P_d-{F}(V3), P_identity-{F}(V4), P_b-{F}(V5), P_a-{F}(V6), P_c-{F}(V7), P_element_in_O2-{F}(V8,V3,V9), product-{F}(V8,V0,V10), product-{F}(V8,V11,V3), product-{F}(V12,V10,V4), product-{F}(V13,V14,V12), product-{F}(V15,V14,V11), product-{F}(V16,V13,V15), P_element_in_O2-{F}(V17,V18,V16), P_inverse-{F}(V18,V19), product-{F}(V1,V19,V20), product-{F}(V18,V20,V3), P_inverse-{F}(V17,V21), product-{F}(V2,V21,V22), product-{F}(V17,V22,V3) | subgroup_member-{T}(V9)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #2280: mergings( V0 == V4, V4 == V13, V5 == V14, V6 == V15, V7 == V17, V2 == V12; #2262 ), references = 1, size of lhs = 23:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), P_d-{F}(V3), P_identity-{F}(V4), P_b-{F}(V5), P_a-{F}(V6), P_inverse-{F}(V6,V7), P_c-{F}(V8), P_element_in_O2-{F}(V9,V3,V10), product-{F}(V9,V0,V11), product-{F}(V9,V12,V3), product-{F}(V13,V11,V4), product-{F}(V14,V15,V13), product-{F}(V16,V15,V12), product-{F}(V17,V14,V16), P_element_in_O2-{F}(V18,V19,V17), P_inverse-{F}(V19,V20), product-{F}(V1,V20,V21), product-{F}(V19,V21,V3), P_inverse-{F}(V18,V22), product-{F}(V2,V22,V23), product-{F}(V18,V23,V3) | subgroup_member-{T}(V10)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #2287: mergings( V0 == V4, V4 == V14, V5 == V15, V6 == V16, V8 == V17, V2 == V13; #2265 ), references = 1, size of lhs = 23:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), P_d-{F}(V3), P_identity-{F}(V4), P_b-{F}(V5), P_a-{F}(V6), P_inverse-{F}(V6,V7), P_c-{F}(V8), P_element_in_O2-{F}(V9,V3,V10), product-{F}(V9,V0,V11), product-{F}(V9,V12,V3), product-{F}(V13,V11,V4), product-{F}(V14,V15,V13), product-{F}(V16,V15,V12), product-{F}(V17,V14,V16), P_element_in_O2-{F}(V18,V19,V17), P_inverse-{F}(V19,V20), product-{F}(V1,V20,V21), product-{F}(V19,V21,V3), P_inverse-{F}(V18,V22), product-{F}(V2,V22,V23), product-{F}(V18,V23,V3) | subgroup_member-{T}(V10)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #2318: mergings( V0 == V4, V4 == V8, V8 == V10, V5 == V11, V6 == V12, V7 == V9; #2303 ), references = 1, size of lhs = 10:
% 41.30/41.52 P_d-{F}(V0), subgroup_member-{F}(V1), P_element_in_O2-{F}(V2,V0,V1), P_c-{F}(V3), product-{F}(V2,V3,V0), subgroup_member-{F}(V4), P_identity-{F}(V4), P_b-{F}(V5), product-{F}(V5,V4,V1), P_a-{F}(V6) | subgroup_member-{T}(V2)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #2326: mergings( V0 == V4, V4 == V8, V8 == V10, V5 == V12, V6 == V13, V7 == V9, V2 == V11; #2304 ), references = 1, size of lhs = 10:
% 41.30/41.52 subgroup_member-{F}(V0), P_c-{F}(V1), subgroup_member-{F}(V2), P_identity-{F}(V2), P_d-{F}(V3), P_element_in_O2-{F}(V4,V3,V0), product-{F}(V4,V1,V3), P_b-{F}(V5), product-{F}(V5,V2,V0), P_a-{F}(V6) | subgroup_member-{T}(V4)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #2334: mergings( V0 == V4, V4 == V8, V8 == V10, V5 == V12, V6 == V13, V7 == V9, V2 == V11; #2305 ), references = 1, size of lhs = 10:
% 41.30/41.52 subgroup_member-{F}(V0), P_c-{F}(V1), subgroup_member-{F}(V2), P_identity-{F}(V2), P_d-{F}(V3), P_element_in_O2-{F}(V4,V3,V0), product-{F}(V4,V1,V3), P_b-{F}(V5), product-{F}(V5,V2,V0), P_a-{F}(V6) | subgroup_member-{T}(V4)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #2355: mergings( V0 == V4, V4 == V8, V8 == V9, V9 == V10, V10 == V12, V5 == V15, V6 == V16, V7 == V17; #2344 ), references = 1, size of lhs = 26:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), P_identity-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), P_d-{F}(V4), product-{F}(V2,V4,V4), P_b-{F}(V5), P_a-{F}(V6), P_c-{F}(V7), product-{F}(V8,V1,V1), P_element_in_O2-{F}(V9,V4,V10), product-{F}(V9,V10,V11), product-{F}(V1,V12,V11), product-{F}(V13,V12,V8), product-{F}(V14,V10,V1), product-{F}(V15,V9,V14), product-{F}(V15,V4,V16), product-{F}(V17,V13,V16), P_inverse-{F}(V18,V19), product-{F}(V0,V19,V20), product-{F}(V18,V20,V4), P_element_in_O2-{F}(V21,V18,V17), P_inverse-{F}(V21,V22), product-{F}(V3,V22,V23), product-{F}(V21,V23,V17) | subgroup_member-{T}(V9)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #2364: mergings( V0 == V4, V4 == V9, V9 == V10, V10 == V11, V11 == V13, V5 == V16, V6 == V17, V8 == V18; #2346 ), references = 1, size of lhs = 27:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), P_identity-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), P_d-{F}(V4), product-{F}(V2,V4,V4), P_b-{F}(V5), P_a-{F}(V6), P_inverse-{F}(V6,V7), P_c-{F}(V8), product-{F}(V9,V1,V1), P_element_in_O2-{F}(V10,V4,V11), product-{F}(V10,V11,V12), product-{F}(V1,V13,V12), product-{F}(V14,V13,V9), product-{F}(V15,V11,V1), product-{F}(V16,V10,V15), product-{F}(V16,V4,V17), product-{F}(V18,V14,V17), P_inverse-{F}(V19,V20), product-{F}(V0,V20,V21), product-{F}(V19,V21,V4), P_element_in_O2-{F}(V22,V19,V18), P_inverse-{F}(V22,V23), product-{F}(V3,V23,V24), product-{F}(V22,V24,V18) | subgroup_member-{T}(V10)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #2374: mergings( V0 == V5, V5 == V15, V15 == V16, V16 == V17, V17 == V19, V6 == V22, V7 == V23, V8 == V24, V4 == V2; #2345 ), references = 1, size of lhs = 34:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), P_identity-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), P_d-{F}(V4), product-{F}(V2,V4,V4), P_b-{F}(V5), P_a-{F}(V6), P_c-{F}(V7), product-{F}(V8,V1,V1), P_element_in_O2-{F}(V9,V4,V10), product-{F}(V9,V10,V11), product-{F}(V1,V12,V11), product-{F}(V13,V12,V8), product-{F}(V14,V10,V1), product-{F}(V15,V9,V14), product-{F}(V15,V4,V16), product-{F}(V17,V13,V16), product-{F}(V1,V18,V19), product-{F}(V4,V18,V20), product-{F}(V19,V20,V4), product-{F}(V21,V4,V20), product-{F}(V4,V21,V22), product-{F}(V21,V22,V4), product-{F}(V4,V21,V23), product-{F}(V21,V23,V4), P_inverse-{F}(V24,V25), product-{F}(V0,V25,V26), product-{F}(V24,V26,V4), P_element_in_O2-{F}(V27,V24,V17), P_inverse-{F}(V27,V28), product-{F}(V3,V28,V29), product-{F}(V27,V29,V17) | subgroup_member-{T}(V9)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #2401: mergings( V0 == V4, V4 == V13, V5 == V14, V6 == V15, V7 == V16, V2 == V12; #2386 ), references = 3, size of lhs = 22:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), P_d-{F}(V3), P_identity-{F}(V4), P_b-{F}(V5), P_a-{F}(V6), P_c-{F}(V7), P_element_in_O2-{F}(V8,V3,V9), product-{F}(V8,V0,V10), product-{F}(V8,V11,V3), product-{F}(V12,V10,V4), product-{F}(V13,V14,V12), product-{F}(V15,V14,V11), product-{F}(V16,V13,V15), P_element_in_O2-{F}(V17,V18,V16), P_inverse-{F}(V18,V19), product-{F}(V1,V19,V20), product-{F}(V18,V20,V3), P_inverse-{F}(V17,V21), product-{F}(V2,V21,V22), product-{F}(V17,V22,V3) | product-{T}(V8,V9,V3)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #2408: mergings( V0 == V4, V4 == V13, V5 == V14, V6 == V15, V7 == V17, V2 == V12; #2387 ), references = 1, size of lhs = 23:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), P_d-{F}(V3), P_identity-{F}(V4), P_b-{F}(V5), P_a-{F}(V6), P_inverse-{F}(V6,V7), P_c-{F}(V8), P_element_in_O2-{F}(V9,V3,V10), product-{F}(V9,V0,V11), product-{F}(V9,V12,V3), product-{F}(V13,V11,V4), product-{F}(V14,V15,V13), product-{F}(V16,V15,V12), product-{F}(V17,V14,V16), P_element_in_O2-{F}(V18,V19,V17), P_inverse-{F}(V19,V20), product-{F}(V1,V20,V21), product-{F}(V19,V21,V3), P_inverse-{F}(V18,V22), product-{F}(V2,V22,V23), product-{F}(V18,V23,V3) | product-{T}(V9,V10,V3)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #2415: mergings( V0 == V4, V4 == V14, V5 == V15, V6 == V16, V8 == V17, V2 == V13; #2392 ), references = 1, size of lhs = 23:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), P_d-{F}(V3), P_identity-{F}(V4), P_b-{F}(V5), P_a-{F}(V6), P_inverse-{F}(V6,V7), P_c-{F}(V8), P_element_in_O2-{F}(V9,V3,V10), product-{F}(V9,V0,V11), product-{F}(V9,V12,V3), product-{F}(V13,V11,V4), product-{F}(V14,V15,V13), product-{F}(V16,V15,V12), product-{F}(V17,V14,V16), P_element_in_O2-{F}(V18,V19,V17), P_inverse-{F}(V19,V20), product-{F}(V1,V20,V21), product-{F}(V19,V21,V3), P_inverse-{F}(V18,V22), product-{F}(V2,V22,V23), product-{F}(V18,V23,V3) | product-{T}(V9,V10,V3)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #2460: mergings( V3 == V4, V4 == V8, V8 == V15, V15 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V26, V9 == V16, V16 == V27, V10 == V17, V17 == V28, V11 == V18, V18 == V29; #2444 ), references = 1, size of lhs = 56:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), subgroup_member-{F}(V4), subgroup_member-{F}(V5), subgroup_member-{F}(V6), subgroup_member-{F}(V7), subgroup_member-{F}(V8), P_d-{F}(V9), P_identity-{F}(V10), P_b-{F}(V11), P_a-{F}(V12), P_c-{F}(V13), P_inverse-{F}(V14,V15), product-{F}(V14,V15,V10), product-{F}(V15,V6,V16), product-{F}(V16,V14,V9), product-{F}(V16,V0,V17), product-{F}(V16,V3,V18), product-{F}(V19,V16,V10), product-{F}(V19,V9,V20), product-{F}(V16,V21,V9), product-{F}(V22,V17,V10), product-{F}(V16,V23,V9), product-{F}(V24,V18,V10), product-{F}(V25,V10,V20), product-{F}(V26,V9,V25), product-{F}(V26,V16,V27), product-{F}(V28,V29,V22), product-{F}(V30,V29,V21), product-{F}(V31,V28,V30), P_element_in_O2-{F}(V32,V33,V31), P_inverse-{F}(V33,V34), product-{F}(V1,V34,V35), product-{F}(V33,V35,V9), P_inverse-{F}(V32,V36), product-{F}(V2,V36,V37), product-{F}(V32,V37,V9), product-{F}(V38,V39,V24), product-{F}(V40,V39,V23), product-{F}(V41,V38,V40), P_element_in_O2-{F}(V42,V43,V41), P_inverse-{F}(V43,V44), product-{F}(V4,V44,V45), product-{F}(V43,V45,V9), P_inverse-{F}(V42,V46), product-{F}(V5,V46,V47), product-{F}(V42,V47,V9), P_element_in_O2-{F}(V48,V49,V27), P_inverse-{F}(V49,V50), product-{F}(V7,V50,V51), product-{F}(V49,V51,V9), P_inverse-{F}(V48,V52), product-{F}(V8,V52,V53), product-{F}(V48,V53,V9) | FALSE
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #2475: mergings( V3 == V4, V4 == V8, V8 == V15, V15 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V26, V9 == V16, V16 == V27, V10 == V17, V17 == V28, V11 == V18, V18 == V30; #2445 ), references = 1, size of lhs = 57:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), subgroup_member-{F}(V4), subgroup_member-{F}(V5), subgroup_member-{F}(V6), subgroup_member-{F}(V7), subgroup_member-{F}(V8), P_d-{F}(V9), P_identity-{F}(V10), P_b-{F}(V11), P_a-{F}(V12), P_inverse-{F}(V12,V13), P_c-{F}(V14), P_inverse-{F}(V15,V16), product-{F}(V15,V16,V10), product-{F}(V16,V6,V17), product-{F}(V17,V15,V9), product-{F}(V17,V0,V18), product-{F}(V17,V3,V19), product-{F}(V20,V17,V10), product-{F}(V20,V9,V21), product-{F}(V17,V22,V9), product-{F}(V23,V18,V10), product-{F}(V17,V24,V9), product-{F}(V25,V19,V10), product-{F}(V26,V10,V21), product-{F}(V27,V9,V26), product-{F}(V27,V17,V28), product-{F}(V29,V30,V23), product-{F}(V31,V30,V22), product-{F}(V32,V29,V31), P_element_in_O2-{F}(V33,V34,V32), P_inverse-{F}(V34,V35), product-{F}(V1,V35,V36), product-{F}(V34,V36,V9), P_inverse-{F}(V33,V37), product-{F}(V2,V37,V38), product-{F}(V33,V38,V9), product-{F}(V39,V40,V25), product-{F}(V41,V40,V24), product-{F}(V42,V39,V41), P_element_in_O2-{F}(V43,V44,V42), P_inverse-{F}(V44,V45), product-{F}(V4,V45,V46), product-{F}(V44,V46,V9), P_inverse-{F}(V43,V47), product-{F}(V5,V47,V48), product-{F}(V43,V48,V9), P_element_in_O2-{F}(V49,V50,V28), P_inverse-{F}(V50,V51), product-{F}(V7,V51,V52), product-{F}(V50,V52,V9), P_inverse-{F}(V49,V53), product-{F}(V8,V53,V54), product-{F}(V49,V54,V9) | FALSE
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #2504: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V27, V10 == V16, V16 == V28, V11 == V17, V17 == V29, V12 == V18, V18 == V30; #2486 ), references = 2, size of lhs = 51:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), subgroup_member-{F}(V4), subgroup_member-{F}(V5), product-{F}(V5,V2,V6), P_identity-{F}(V6), subgroup_member-{F}(V7), subgroup_member-{F}(V8), P_d-{F}(V9), P_b-{F}(V10), P_a-{F}(V11), P_c-{F}(V12), product-{F}(V6,V13,V14), product-{F}(V15,V14,V6), product-{F}(V15,V9,V16), product-{F}(V14,V17,V9), product-{F}(V14,V18,V9), product-{F}(V19,V6,V16), product-{F}(V20,V9,V19), product-{F}(V20,V14,V21), product-{F}(V22,V13,V5), product-{F}(V14,V22,V9), product-{F}(V23,V24,V22), product-{F}(V25,V24,V17), product-{F}(V26,V23,V25), P_element_in_O2-{F}(V27,V28,V26), P_inverse-{F}(V28,V29), product-{F}(V0,V29,V30), product-{F}(V28,V30,V9), P_inverse-{F}(V27,V31), product-{F}(V1,V31,V32), product-{F}(V27,V32,V9), product-{F}(V33,V34,V22), product-{F}(V35,V34,V18), product-{F}(V36,V33,V35), P_element_in_O2-{F}(V37,V38,V36), P_inverse-{F}(V38,V39), product-{F}(V3,V39,V40), product-{F}(V38,V40,V9), P_inverse-{F}(V37,V41), product-{F}(V4,V41,V42), product-{F}(V37,V42,V9), P_element_in_O2-{F}(V43,V44,V21), P_inverse-{F}(V44,V45), product-{F}(V7,V45,V46), product-{F}(V44,V46,V9), P_inverse-{F}(V43,V47), product-{F}(V8,V47,V48), product-{F}(V43,V48,V9) | FALSE
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #2521: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V27, V10 == V16, V16 == V28, V11 == V17, V17 == V29, V12 == V18, V18 == V31; #2487 ), references = 2, size of lhs = 52:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), subgroup_member-{F}(V4), subgroup_member-{F}(V5), product-{F}(V5,V2,V6), P_identity-{F}(V6), subgroup_member-{F}(V7), subgroup_member-{F}(V8), P_d-{F}(V9), P_b-{F}(V10), P_a-{F}(V11), P_inverse-{F}(V11,V12), P_c-{F}(V13), product-{F}(V6,V14,V15), product-{F}(V16,V15,V6), product-{F}(V16,V9,V17), product-{F}(V15,V18,V9), product-{F}(V15,V19,V9), product-{F}(V20,V6,V17), product-{F}(V21,V9,V20), product-{F}(V21,V15,V22), product-{F}(V23,V14,V5), product-{F}(V15,V23,V9), product-{F}(V24,V25,V23), product-{F}(V26,V25,V18), product-{F}(V27,V24,V26), P_element_in_O2-{F}(V28,V29,V27), P_inverse-{F}(V29,V30), product-{F}(V0,V30,V31), product-{F}(V29,V31,V9), P_inverse-{F}(V28,V32), product-{F}(V1,V32,V33), product-{F}(V28,V33,V9), product-{F}(V34,V35,V23), product-{F}(V36,V35,V19), product-{F}(V37,V34,V36), P_element_in_O2-{F}(V38,V39,V37), P_inverse-{F}(V39,V40), product-{F}(V3,V40,V41), product-{F}(V39,V41,V9), P_inverse-{F}(V38,V42), product-{F}(V4,V42,V43), product-{F}(V38,V43,V9), P_element_in_O2-{F}(V44,V45,V22), P_inverse-{F}(V45,V46), product-{F}(V7,V46,V47), product-{F}(V45,V47,V9), P_inverse-{F}(V44,V48), product-{F}(V8,V48,V49), product-{F}(V44,V49,V9) | FALSE
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #2532: exists( #23, #2528 ), references = 2, size of lhs = 49:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), subgroup_member-{F}(V4), P_identity-{F}(V5), subgroup_member-{F}(V6), subgroup_member-{F}(V7), P_d-{F}(V8), P_b-{F}(V9), P_a-{F}(V10), P_c-{F}(V11), product-{F}(V5,V12,V13), product-{F}(V14,V13,V5), product-{F}(V14,V8,V15), product-{F}(V13,V16,V8), product-{F}(V13,V17,V8), product-{F}(V18,V5,V15), product-{F}(V19,V8,V18), product-{F}(V19,V13,V20), product-{F}(V21,V12,V4), product-{F}(V13,V21,V8), product-{F}(V22,V23,V21), product-{F}(V24,V23,V16), product-{F}(V25,V22,V24), P_element_in_O2-{F}(V26,V27,V25), P_inverse-{F}(V27,V28), product-{F}(V0,V28,V29), product-{F}(V27,V29,V8), P_inverse-{F}(V26,V30), product-{F}(V1,V30,V31), product-{F}(V26,V31,V8), product-{F}(V32,V33,V21), product-{F}(V34,V33,V17), product-{F}(V35,V32,V34), P_element_in_O2-{F}(V36,V37,V35), P_inverse-{F}(V37,V38), product-{F}(V2,V38,V39), product-{F}(V37,V39,V8), P_inverse-{F}(V36,V40), product-{F}(V3,V40,V41), product-{F}(V36,V41,V8), P_element_in_O2-{F}(V42,V43,V20), P_inverse-{F}(V43,V44), product-{F}(V6,V44,V45), product-{F}(V43,V45,V8), P_inverse-{F}(V42,V46), product-{F}(V7,V46,V47), product-{F}(V42,V47,V8) | FALSE
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #2533: exists( #23, #2529 ), references = 2, size of lhs = 50:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), subgroup_member-{F}(V4), P_identity-{F}(V5), subgroup_member-{F}(V6), subgroup_member-{F}(V7), P_d-{F}(V8), P_b-{F}(V9), P_a-{F}(V10), P_inverse-{F}(V10,V11), P_c-{F}(V12), product-{F}(V5,V13,V14), product-{F}(V15,V14,V5), product-{F}(V15,V8,V16), product-{F}(V14,V17,V8), product-{F}(V14,V18,V8), product-{F}(V19,V5,V16), product-{F}(V20,V8,V19), product-{F}(V20,V14,V21), product-{F}(V22,V13,V4), product-{F}(V14,V22,V8), product-{F}(V23,V24,V22), product-{F}(V25,V24,V17), product-{F}(V26,V23,V25), P_element_in_O2-{F}(V27,V28,V26), P_inverse-{F}(V28,V29), product-{F}(V0,V29,V30), product-{F}(V28,V30,V8), P_inverse-{F}(V27,V31), product-{F}(V1,V31,V32), product-{F}(V27,V32,V8), product-{F}(V33,V34,V22), product-{F}(V35,V34,V18), product-{F}(V36,V33,V35), P_element_in_O2-{F}(V37,V38,V36), P_inverse-{F}(V38,V39), product-{F}(V2,V39,V40), product-{F}(V38,V40,V8), P_inverse-{F}(V37,V41), product-{F}(V3,V41,V42), product-{F}(V37,V42,V8), P_element_in_O2-{F}(V43,V44,V21), P_inverse-{F}(V44,V45), product-{F}(V6,V45,V46), product-{F}(V44,V46,V8), P_inverse-{F}(V43,V47), product-{F}(V7,V47,V48), product-{F}(V43,V48,V8) | FALSE
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #2662: mergings( V0 == V10, V10 == V32, V11 == V33, V12 == V34, V13 == V35, V9 == V31; #2652 ), references = 3, size of lhs = 40:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), subgroup_member-{F}(V4), subgroup_member-{F}(V5), subgroup_member-{F}(V6), subgroup_member-{F}(V7), P_d-{F}(V8), P_identity-{F}(V9), P_b-{F}(V10), P_a-{F}(V11), P_c-{F}(V12), product-{F}(V2,V13,V8), product-{F}(V6,V14,V8), product-{F}(V15,V0,V16), product-{F}(V17,V16,V9), P_element_in_O2-{F}(V18,V15,V19), product-{F}(V19,V4,V20), product-{F}(V21,V20,V9), product-{F}(V22,V23,V17), product-{F}(V24,V23,V13), product-{F}(V25,V22,V24), P_element_in_O2-{F}(V26,V27,V25), P_inverse-{F}(V27,V28), product-{F}(V1,V28,V29), product-{F}(V27,V29,V8), P_inverse-{F}(V26,V30), product-{F}(V3,V30,V31), product-{F}(V26,V31,V8), product-{F}(V32,V33,V21), product-{F}(V34,V33,V14), product-{F}(V35,V32,V34), P_element_in_O2-{F}(V36,V37,V35), P_inverse-{F}(V37,V38), product-{F}(V5,V38,V39), product-{F}(V37,V39,V8), P_inverse-{F}(V36,V40), product-{F}(V7,V40,V41), product-{F}(V36,V41,V8) | subgroup_member-{T}(V18)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #2669: mergings( V0 == V10, V10 == V32, V11 == V33, V12 == V34, V13 == V36, V9 == V31; #2653 ), references = 1, size of lhs = 41:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), subgroup_member-{F}(V4), subgroup_member-{F}(V5), subgroup_member-{F}(V6), subgroup_member-{F}(V7), P_d-{F}(V8), P_identity-{F}(V9), P_b-{F}(V10), P_a-{F}(V11), P_inverse-{F}(V11,V12), P_c-{F}(V13), product-{F}(V2,V14,V8), product-{F}(V6,V15,V8), product-{F}(V16,V0,V17), product-{F}(V18,V17,V9), P_element_in_O2-{F}(V19,V16,V20), product-{F}(V20,V4,V21), product-{F}(V22,V21,V9), product-{F}(V23,V24,V18), product-{F}(V25,V24,V14), product-{F}(V26,V23,V25), P_element_in_O2-{F}(V27,V28,V26), P_inverse-{F}(V28,V29), product-{F}(V1,V29,V30), product-{F}(V28,V30,V8), P_inverse-{F}(V27,V31), product-{F}(V3,V31,V32), product-{F}(V27,V32,V8), product-{F}(V33,V34,V22), product-{F}(V35,V34,V15), product-{F}(V36,V33,V35), P_element_in_O2-{F}(V37,V38,V36), P_inverse-{F}(V38,V39), product-{F}(V5,V39,V40), product-{F}(V38,V40,V8), P_inverse-{F}(V37,V41), product-{F}(V7,V41,V42), product-{F}(V37,V42,V8) | subgroup_member-{T}(V19)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #2676: mergings( V0 == V10, V10 == V33, V11 == V34, V12 == V35, V14 == V36, V9 == V32; #2654 ), references = 1, size of lhs = 41:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), subgroup_member-{F}(V4), subgroup_member-{F}(V5), subgroup_member-{F}(V6), subgroup_member-{F}(V7), P_d-{F}(V8), P_identity-{F}(V9), P_b-{F}(V10), P_a-{F}(V11), P_inverse-{F}(V11,V12), P_c-{F}(V13), product-{F}(V2,V14,V8), product-{F}(V6,V15,V8), product-{F}(V16,V0,V17), product-{F}(V18,V17,V9), P_element_in_O2-{F}(V19,V16,V20), product-{F}(V20,V4,V21), product-{F}(V22,V21,V9), product-{F}(V23,V24,V18), product-{F}(V25,V24,V14), product-{F}(V26,V23,V25), P_element_in_O2-{F}(V27,V28,V26), P_inverse-{F}(V28,V29), product-{F}(V1,V29,V30), product-{F}(V28,V30,V8), P_inverse-{F}(V27,V31), product-{F}(V3,V31,V32), product-{F}(V27,V32,V8), product-{F}(V33,V34,V22), product-{F}(V35,V34,V15), product-{F}(V36,V33,V35), P_element_in_O2-{F}(V37,V38,V36), P_inverse-{F}(V38,V39), product-{F}(V5,V39,V40), product-{F}(V38,V40,V8), P_inverse-{F}(V37,V41), product-{F}(V7,V41,V42), product-{F}(V37,V42,V8) | subgroup_member-{T}(V19)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #2709: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V27, V12 == V19, V19 == V28, V13 == V20, V20 == V29, V14 == V21, V21 == V30, V11 == V18, V18 == V26; #2693 ), references = 1, size of lhs = 52:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), subgroup_member-{F}(V4), subgroup_member-{F}(V5), subgroup_member-{F}(V6), subgroup_member-{F}(V7), subgroup_member-{F}(V8), subgroup_member-{F}(V9), P_d-{F}(V10), P_identity-{F}(V11), P_b-{F}(V12), P_a-{F}(V13), P_c-{F}(V14), product-{F}(V1,V15,V10), product-{F}(V4,V16,V10), product-{F}(V8,V17,V10), product-{F}(V11,V18,V17), product-{F}(V19,V6,V11), P_element_in_O2-{F}(V20,V20,V20), product-{F}(V11,V21,V20), product-{F}(V22,V21,V19), product-{F}(V22,V18,V23), product-{F}(V6,V23,V22), P_inverse-{F}(V24,V25), product-{F}(V0,V25,V26), product-{F}(V24,V26,V10), P_element_in_O2-{F}(V27,V24,V28), P_inverse-{F}(V27,V29), product-{F}(V2,V29,V30), product-{F}(V27,V30,V10), product-{F}(V28,V31,V32), product-{F}(V32,V33,V15), product-{F}(V31,V33,V22), product-{F}(V34,V35,V22), product-{F}(V36,V35,V16), product-{F}(V37,V34,V36), P_element_in_O2-{F}(V38,V39,V37), P_inverse-{F}(V39,V40), product-{F}(V3,V40,V41), product-{F}(V39,V41,V10), P_inverse-{F}(V38,V42), product-{F}(V5,V42,V43), product-{F}(V38,V43,V10), P_inverse-{F}(V44,V45), product-{F}(V7,V45,V46), product-{F}(V44,V46,V10), P_element_in_O2-{F}(V47,V44,V20), P_inverse-{F}(V47,V48), product-{F}(V9,V48,V49), product-{F}(V47,V49,V10) | FALSE
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #2724: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V27, V12 == V19, V19 == V28, V13 == V20, V20 == V29, V14 == V21, V21 == V31, V11 == V18, V18 == V26; #2694 ), references = 1, size of lhs = 53:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), subgroup_member-{F}(V4), subgroup_member-{F}(V5), subgroup_member-{F}(V6), subgroup_member-{F}(V7), subgroup_member-{F}(V8), subgroup_member-{F}(V9), P_d-{F}(V10), P_identity-{F}(V11), P_b-{F}(V12), P_a-{F}(V13), P_inverse-{F}(V13,V14), P_c-{F}(V15), product-{F}(V1,V16,V10), product-{F}(V4,V17,V10), product-{F}(V8,V18,V10), product-{F}(V11,V19,V18), product-{F}(V20,V6,V11), P_element_in_O2-{F}(V21,V21,V21), product-{F}(V11,V22,V21), product-{F}(V23,V22,V20), product-{F}(V23,V19,V24), product-{F}(V6,V24,V23), P_inverse-{F}(V25,V26), product-{F}(V0,V26,V27), product-{F}(V25,V27,V10), P_element_in_O2-{F}(V28,V25,V29), P_inverse-{F}(V28,V30), product-{F}(V2,V30,V31), product-{F}(V28,V31,V10), product-{F}(V29,V32,V33), product-{F}(V33,V34,V16), product-{F}(V32,V34,V23), product-{F}(V35,V36,V23), product-{F}(V37,V36,V17), product-{F}(V38,V35,V37), P_element_in_O2-{F}(V39,V40,V38), P_inverse-{F}(V40,V41), product-{F}(V3,V41,V42), product-{F}(V40,V42,V10), P_inverse-{F}(V39,V43), product-{F}(V5,V43,V44), product-{F}(V39,V44,V10), P_inverse-{F}(V45,V46), product-{F}(V7,V46,V47), product-{F}(V45,V47,V10), P_element_in_O2-{F}(V48,V45,V21), P_inverse-{F}(V48,V49), product-{F}(V9,V49,V50), product-{F}(V48,V50,V10) | FALSE
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #2833: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V21, V13 == V22, V14 == V23, V15 == V24, V12 == V20; #2823 ), references = 1, size of lhs = 52:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), subgroup_member-{F}(V4), subgroup_member-{F}(V5), subgroup_member-{F}(V6), subgroup_member-{F}(V7), subgroup_member-{F}(V8), subgroup_member-{F}(V9), P_d-{F}(V10), P_identity-{F}(V11), P_b-{F}(V12), P_a-{F}(V13), P_c-{F}(V14), product-{F}(V1,V15,V10), product-{F}(V4,V16,V10), product-{F}(V8,V17,V10), P_element_in_O2-{F}(V18,V18,V18), product-{F}(V11,V19,V18), product-{F}(V20,V6,V11), product-{F}(V21,V19,V20), P_inverse-{F}(V22,V23), product-{F}(V0,V23,V24), product-{F}(V22,V24,V10), P_element_in_O2-{F}(V25,V22,V26), P_inverse-{F}(V25,V27), product-{F}(V2,V27,V28), product-{F}(V25,V28,V10), product-{F}(V26,V29,V30), product-{F}(V30,V31,V15), product-{F}(V29,V31,V21), product-{F}(V32,V33,V21), product-{F}(V34,V33,V16), product-{F}(V35,V32,V34), P_element_in_O2-{F}(V36,V37,V35), P_inverse-{F}(V37,V38), product-{F}(V3,V38,V39), product-{F}(V37,V39,V10), P_inverse-{F}(V36,V40), product-{F}(V5,V40,V41), product-{F}(V36,V41,V10), product-{F}(V42,V43,V21), product-{F}(V44,V43,V17), product-{F}(V45,V42,V44), P_element_in_O2-{F}(V46,V47,V45), P_inverse-{F}(V47,V48), product-{F}(V7,V48,V49), product-{F}(V47,V49,V10), P_inverse-{F}(V46,V50), product-{F}(V9,V50,V51), product-{F}(V46,V51,V10) | FALSE
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #2842: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V21, V13 == V22, V14 == V23, V15 == V25, V12 == V20; #2824 ), references = 1, size of lhs = 53:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), subgroup_member-{F}(V4), subgroup_member-{F}(V5), subgroup_member-{F}(V6), subgroup_member-{F}(V7), subgroup_member-{F}(V8), subgroup_member-{F}(V9), P_d-{F}(V10), P_identity-{F}(V11), P_b-{F}(V12), P_a-{F}(V13), P_inverse-{F}(V13,V14), P_c-{F}(V15), product-{F}(V1,V16,V10), product-{F}(V4,V17,V10), product-{F}(V8,V18,V10), P_element_in_O2-{F}(V19,V19,V19), product-{F}(V11,V20,V19), product-{F}(V21,V6,V11), product-{F}(V22,V20,V21), P_inverse-{F}(V23,V24), product-{F}(V0,V24,V25), product-{F}(V23,V25,V10), P_element_in_O2-{F}(V26,V23,V27), P_inverse-{F}(V26,V28), product-{F}(V2,V28,V29), product-{F}(V26,V29,V10), product-{F}(V27,V30,V31), product-{F}(V31,V32,V16), product-{F}(V30,V32,V22), product-{F}(V33,V34,V22), product-{F}(V35,V34,V17), product-{F}(V36,V33,V35), P_element_in_O2-{F}(V37,V38,V36), P_inverse-{F}(V38,V39), product-{F}(V3,V39,V40), product-{F}(V38,V40,V10), P_inverse-{F}(V37,V41), product-{F}(V5,V41,V42), product-{F}(V37,V42,V10), product-{F}(V43,V44,V22), product-{F}(V45,V44,V18), product-{F}(V46,V43,V45), P_element_in_O2-{F}(V47,V48,V46), P_inverse-{F}(V48,V49), product-{F}(V7,V49,V50), product-{F}(V48,V50,V10), P_inverse-{F}(V47,V51), product-{F}(V9,V51,V52), product-{F}(V47,V52,V10) | FALSE
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #2857: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V20, V13 == V21, V14 == V22, V15 == V23, V12 == V19; #2847 ), references = 1, size of lhs = 51:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), subgroup_member-{F}(V4), subgroup_member-{F}(V5), subgroup_member-{F}(V6), subgroup_member-{F}(V7), subgroup_member-{F}(V8), subgroup_member-{F}(V9), P_d-{F}(V10), P_identity-{F}(V11), P_b-{F}(V12), P_a-{F}(V13), P_c-{F}(V14), product-{F}(V2,V15,V10), product-{F}(V5,V16,V10), product-{F}(V8,V17,V10), P_element_in_O2-{F}(V18,V18,V18), product-{F}(V11,V19,V18), product-{F}(V20,V19,V0), P_inverse-{F}(V21,V22), product-{F}(V1,V22,V23), product-{F}(V21,V23,V10), P_element_in_O2-{F}(V24,V21,V25), P_inverse-{F}(V24,V26), product-{F}(V3,V26,V27), product-{F}(V24,V27,V10), product-{F}(V25,V28,V29), product-{F}(V29,V30,V15), product-{F}(V28,V30,V20), product-{F}(V31,V32,V20), product-{F}(V33,V32,V16), product-{F}(V34,V31,V33), P_element_in_O2-{F}(V35,V36,V34), P_inverse-{F}(V36,V37), product-{F}(V4,V37,V38), product-{F}(V36,V38,V10), P_inverse-{F}(V35,V39), product-{F}(V6,V39,V40), product-{F}(V35,V40,V10), product-{F}(V41,V42,V20), product-{F}(V43,V42,V17), product-{F}(V44,V41,V43), P_element_in_O2-{F}(V45,V46,V44), P_inverse-{F}(V46,V47), product-{F}(V7,V47,V48), product-{F}(V46,V48,V10), P_inverse-{F}(V45,V49), product-{F}(V9,V49,V50), product-{F}(V45,V50,V10) | FALSE
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #2866: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V20, V13 == V21, V14 == V22, V15 == V24, V12 == V19; #2848 ), references = 1, size of lhs = 52:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), subgroup_member-{F}(V4), subgroup_member-{F}(V5), subgroup_member-{F}(V6), subgroup_member-{F}(V7), subgroup_member-{F}(V8), subgroup_member-{F}(V9), P_d-{F}(V10), P_identity-{F}(V11), P_b-{F}(V12), P_a-{F}(V13), P_inverse-{F}(V13,V14), P_c-{F}(V15), product-{F}(V2,V16,V10), product-{F}(V5,V17,V10), product-{F}(V8,V18,V10), P_element_in_O2-{F}(V19,V19,V19), product-{F}(V11,V20,V19), product-{F}(V21,V20,V0), P_inverse-{F}(V22,V23), product-{F}(V1,V23,V24), product-{F}(V22,V24,V10), P_element_in_O2-{F}(V25,V22,V26), P_inverse-{F}(V25,V27), product-{F}(V3,V27,V28), product-{F}(V25,V28,V10), product-{F}(V26,V29,V30), product-{F}(V30,V31,V16), product-{F}(V29,V31,V21), product-{F}(V32,V33,V21), product-{F}(V34,V33,V17), product-{F}(V35,V32,V34), P_element_in_O2-{F}(V36,V37,V35), P_inverse-{F}(V37,V38), product-{F}(V4,V38,V39), product-{F}(V37,V39,V10), P_inverse-{F}(V36,V40), product-{F}(V6,V40,V41), product-{F}(V36,V41,V10), product-{F}(V42,V43,V21), product-{F}(V44,V43,V18), product-{F}(V45,V42,V44), P_element_in_O2-{F}(V46,V47,V45), P_inverse-{F}(V47,V48), product-{F}(V7,V48,V49), product-{F}(V47,V49,V10), P_inverse-{F}(V46,V50), product-{F}(V9,V50,V51), product-{F}(V46,V51,V10) | FALSE
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #3186: mergings( V0 == V10, V10 == V32, V11 == V33, V12 == V34, V13 == V35, V9 == V31; #3176 ), references = 1, size of lhs = 40:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), subgroup_member-{F}(V4), subgroup_member-{F}(V5), subgroup_member-{F}(V6), subgroup_member-{F}(V7), P_d-{F}(V8), P_identity-{F}(V9), P_b-{F}(V10), P_a-{F}(V11), P_c-{F}(V12), product-{F}(V13,V2,V9), product-{F}(V14,V6,V9), product-{F}(V15,V0,V16), product-{F}(V16,V17,V8), P_element_in_O2-{F}(V18,V15,V19), product-{F}(V18,V4,V20), product-{F}(V20,V21,V8), product-{F}(V22,V23,V13), product-{F}(V24,V23,V17), product-{F}(V25,V22,V24), P_element_in_O2-{F}(V26,V27,V25), P_inverse-{F}(V27,V28), product-{F}(V1,V28,V29), product-{F}(V27,V29,V8), P_inverse-{F}(V26,V30), product-{F}(V3,V30,V31), product-{F}(V26,V31,V8), product-{F}(V32,V33,V14), product-{F}(V34,V33,V21), product-{F}(V35,V32,V34), P_element_in_O2-{F}(V36,V37,V35), P_inverse-{F}(V37,V38), product-{F}(V5,V38,V39), product-{F}(V37,V39,V8), P_inverse-{F}(V36,V40), product-{F}(V7,V40,V41), product-{F}(V36,V41,V8) | subgroup_member-{T}(V19)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #3193: mergings( V0 == V10, V10 == V32, V11 == V33, V12 == V34, V13 == V36, V9 == V31; #3177 ), references = 1, size of lhs = 41:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), subgroup_member-{F}(V4), subgroup_member-{F}(V5), subgroup_member-{F}(V6), subgroup_member-{F}(V7), P_d-{F}(V8), P_identity-{F}(V9), P_b-{F}(V10), P_a-{F}(V11), P_inverse-{F}(V11,V12), P_c-{F}(V13), product-{F}(V14,V2,V9), product-{F}(V15,V6,V9), product-{F}(V16,V0,V17), product-{F}(V17,V18,V8), P_element_in_O2-{F}(V19,V16,V20), product-{F}(V19,V4,V21), product-{F}(V21,V22,V8), product-{F}(V23,V24,V14), product-{F}(V25,V24,V18), product-{F}(V26,V23,V25), P_element_in_O2-{F}(V27,V28,V26), P_inverse-{F}(V28,V29), product-{F}(V1,V29,V30), product-{F}(V28,V30,V8), P_inverse-{F}(V27,V31), product-{F}(V3,V31,V32), product-{F}(V27,V32,V8), product-{F}(V33,V34,V15), product-{F}(V35,V34,V22), product-{F}(V36,V33,V35), P_element_in_O2-{F}(V37,V38,V36), P_inverse-{F}(V38,V39), product-{F}(V5,V39,V40), product-{F}(V38,V40,V8), P_inverse-{F}(V37,V41), product-{F}(V7,V41,V42), product-{F}(V37,V42,V8) | subgroup_member-{T}(V20)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #3200: mergings( V0 == V10, V10 == V33, V11 == V34, V12 == V35, V14 == V36, V9 == V32; #3178 ), references = 1, size of lhs = 41:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), subgroup_member-{F}(V4), subgroup_member-{F}(V5), subgroup_member-{F}(V6), subgroup_member-{F}(V7), P_d-{F}(V8), P_identity-{F}(V9), P_b-{F}(V10), P_a-{F}(V11), P_inverse-{F}(V11,V12), P_c-{F}(V13), product-{F}(V14,V2,V9), product-{F}(V15,V6,V9), product-{F}(V16,V0,V17), product-{F}(V17,V18,V8), P_element_in_O2-{F}(V19,V16,V20), product-{F}(V19,V4,V21), product-{F}(V21,V22,V8), product-{F}(V23,V24,V14), product-{F}(V25,V24,V18), product-{F}(V26,V23,V25), P_element_in_O2-{F}(V27,V28,V26), P_inverse-{F}(V28,V29), product-{F}(V1,V29,V30), product-{F}(V28,V30,V8), P_inverse-{F}(V27,V31), product-{F}(V3,V31,V32), product-{F}(V27,V32,V8), product-{F}(V33,V34,V15), product-{F}(V35,V34,V22), product-{F}(V36,V33,V35), P_element_in_O2-{F}(V37,V38,V36), P_inverse-{F}(V38,V39), product-{F}(V5,V39,V40), product-{F}(V38,V40,V8), P_inverse-{F}(V37,V41), product-{F}(V7,V41,V42), product-{F}(V37,V42,V8) | subgroup_member-{T}(V20)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #3245: mergings( V0 == V8, V8 == V16, V9 == V17, V10 == V18, V11 == V19, V7 == V15; #3230 ), references = 1, size of lhs = 14:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), P_d-{F}(V2), P_identity-{F}(V3), P_b-{F}(V4), P_a-{F}(V5), P_c-{F}(V6), P_inverse-{F}(V7,V8), product-{F}(V0,V8,V9), product-{F}(V7,V9,V2), P_element_in_O2-{F}(V10,V7,V11), P_inverse-{F}(V10,V12), product-{F}(V1,V12,V13), product-{F}(V10,V13,V2) | subgroup_member-{T}(V11)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #3252: mergings( V0 == V8, V8 == V16, V9 == V17, V10 == V18, V11 == V20, V7 == V15; #3231 ), references = 1, size of lhs = 15:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), P_d-{F}(V2), P_identity-{F}(V3), P_b-{F}(V4), P_a-{F}(V5), P_inverse-{F}(V5,V6), P_c-{F}(V7), P_inverse-{F}(V8,V9), product-{F}(V0,V9,V10), product-{F}(V8,V10,V2), P_element_in_O2-{F}(V11,V8,V12), P_inverse-{F}(V11,V13), product-{F}(V1,V13,V14), product-{F}(V11,V14,V2) | subgroup_member-{T}(V12)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #3259: mergings( V0 == V8, V8 == V17, V9 == V18, V10 == V19, V12 == V20, V7 == V16; #3233 ), references = 1, size of lhs = 15:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), P_d-{F}(V2), P_identity-{F}(V3), P_b-{F}(V4), P_a-{F}(V5), P_inverse-{F}(V5,V6), P_c-{F}(V7), P_inverse-{F}(V8,V9), product-{F}(V0,V9,V10), product-{F}(V8,V10,V2), P_element_in_O2-{F}(V11,V8,V12), P_inverse-{F}(V11,V13), product-{F}(V1,V13,V14), product-{F}(V11,V14,V2) | subgroup_member-{T}(V12)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #3480: mergings( V0 == V8, V8 == V12, V12 == V13, V13 == V19, V9 == V23, V10 == V24, V11 == V25, V7 == V22; #3463 ), references = 1, size of lhs = 55:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), subgroup_member-{F}(V4), subgroup_member-{F}(V5), P_identity-{F}(V6), subgroup_member-{F}(V7), subgroup_member-{F}(V8), P_d-{F}(V9), P_b-{F}(V10), P_a-{F}(V11), P_c-{F}(V12), product-{F}(V6,V13,V14), P_inverse-{F}(V14,V15), product-{F}(V0,V15,V16), product-{F}(V14,V16,V9), product-{F}(V17,V14,V6), product-{F}(V17,V9,V18), product-{F}(V14,V19,V9), product-{F}(V14,V20,V9), product-{F}(V21,V6,V18), product-{F}(V22,V9,V21), product-{F}(V23,V13,V5), product-{F}(V14,V23,V9), P_element_in_O2-{F}(V24,V14,V25), product-{F}(V22,V24,V26), product-{F}(V26,V25,V27), product-{F}(V24,V28,V14), product-{F}(V28,V29,V19), product-{F}(V30,V29,V23), product-{F}(V30,V31,V23), product-{F}(V28,V31,V20), product-{F}(V32,V30,V25), P_element_in_O2-{F}(V33,V34,V32), P_inverse-{F}(V34,V35), product-{F}(V1,V35,V36), product-{F}(V34,V36,V9), P_inverse-{F}(V33,V37), product-{F}(V2,V37,V38), product-{F}(V33,V38,V9), P_element_in_O2-{F}(V39,V40,V32), P_inverse-{F}(V40,V41), product-{F}(V3,V41,V42), product-{F}(V40,V42,V9), P_inverse-{F}(V39,V43), product-{F}(V4,V43,V44), product-{F}(V39,V44,V9), P_element_in_O2-{F}(V45,V46,V27), P_inverse-{F}(V46,V47), product-{F}(V7,V47,V48), product-{F}(V46,V48,V9), P_inverse-{F}(V45,V49), product-{F}(V8,V49,V50), product-{F}(V45,V50,V9) | subgroup_member-{T}(V24)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #3489: mergings( V0 == V8, V8 == V12, V12 == V13, V13 == V19, V9 == V23, V10 == V24, V11 == V26, V7 == V22; #3464 ), references = 1, size of lhs = 56:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), subgroup_member-{F}(V4), subgroup_member-{F}(V5), P_identity-{F}(V6), subgroup_member-{F}(V7), subgroup_member-{F}(V8), P_d-{F}(V9), P_b-{F}(V10), P_a-{F}(V11), P_inverse-{F}(V11,V12), P_c-{F}(V13), product-{F}(V6,V14,V15), P_inverse-{F}(V15,V16), product-{F}(V0,V16,V17), product-{F}(V15,V17,V9), product-{F}(V18,V15,V6), product-{F}(V18,V9,V19), product-{F}(V15,V20,V9), product-{F}(V15,V21,V9), product-{F}(V22,V6,V19), product-{F}(V23,V9,V22), product-{F}(V24,V14,V5), product-{F}(V15,V24,V9), P_element_in_O2-{F}(V25,V15,V26), product-{F}(V23,V25,V27), product-{F}(V27,V26,V28), product-{F}(V25,V29,V15), product-{F}(V29,V30,V20), product-{F}(V31,V30,V24), product-{F}(V31,V32,V24), product-{F}(V29,V32,V21), product-{F}(V33,V31,V26), P_element_in_O2-{F}(V34,V35,V33), P_inverse-{F}(V35,V36), product-{F}(V1,V36,V37), product-{F}(V35,V37,V9), P_inverse-{F}(V34,V38), product-{F}(V2,V38,V39), product-{F}(V34,V39,V9), P_element_in_O2-{F}(V40,V41,V33), P_inverse-{F}(V41,V42), product-{F}(V3,V42,V43), product-{F}(V41,V43,V9), P_inverse-{F}(V40,V44), product-{F}(V4,V44,V45), product-{F}(V40,V45,V9), P_element_in_O2-{F}(V46,V47,V28), P_inverse-{F}(V47,V48), product-{F}(V7,V48,V49), product-{F}(V47,V49,V9), P_inverse-{F}(V46,V50), product-{F}(V8,V50,V51), product-{F}(V46,V51,V9) | subgroup_member-{T}(V25)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #3498: mergings( V0 == V8, V8 == V13, V13 == V14, V14 == V20, V9 == V24, V10 == V25, V12 == V26, V7 == V23; #3466 ), references = 1, size of lhs = 56:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), subgroup_member-{F}(V4), subgroup_member-{F}(V5), P_identity-{F}(V6), subgroup_member-{F}(V7), subgroup_member-{F}(V8), P_d-{F}(V9), P_b-{F}(V10), P_a-{F}(V11), P_inverse-{F}(V11,V12), P_c-{F}(V13), product-{F}(V6,V14,V15), P_inverse-{F}(V15,V16), product-{F}(V0,V16,V17), product-{F}(V15,V17,V9), product-{F}(V18,V15,V6), product-{F}(V18,V9,V19), product-{F}(V15,V20,V9), product-{F}(V15,V21,V9), product-{F}(V22,V6,V19), product-{F}(V23,V9,V22), product-{F}(V24,V14,V5), product-{F}(V15,V24,V9), P_element_in_O2-{F}(V25,V15,V26), product-{F}(V23,V25,V27), product-{F}(V27,V26,V28), product-{F}(V25,V29,V15), product-{F}(V29,V30,V20), product-{F}(V31,V30,V24), product-{F}(V31,V32,V24), product-{F}(V29,V32,V21), product-{F}(V33,V31,V26), P_element_in_O2-{F}(V34,V35,V33), P_inverse-{F}(V35,V36), product-{F}(V1,V36,V37), product-{F}(V35,V37,V9), P_inverse-{F}(V34,V38), product-{F}(V2,V38,V39), product-{F}(V34,V39,V9), P_element_in_O2-{F}(V40,V41,V33), P_inverse-{F}(V41,V42), product-{F}(V3,V42,V43), product-{F}(V41,V43,V9), P_inverse-{F}(V40,V44), product-{F}(V4,V44,V45), product-{F}(V40,V45,V9), P_element_in_O2-{F}(V46,V47,V28), P_inverse-{F}(V47,V48), product-{F}(V7,V48,V49), product-{F}(V47,V49,V9), P_inverse-{F}(V46,V50), product-{F}(V8,V50,V51), product-{F}(V46,V51,V9) | subgroup_member-{T}(V25)
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #3541: mergings( V33 == V47, V47 == V51, V51 == V55, V45 == V49, V49 == V53, V53 == V57, V3 == V4, V4 == V5, V5 == V8, V8 == V12, V12 == V13, V13 == V19, V19 == V28, V9 == V23, V23 == V29, V10 == V24, V24 == V30, V11 == V25, V25 == V31, V7 == V22, V22 == V27; #3517 ), references = 1, size of lhs = 47:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), subgroup_member-{F}(V4), subgroup_member-{F}(V5), subgroup_member-{F}(V6), subgroup_member-{F}(V7), subgroup_member-{F}(V8), P_d-{F}(V9), P_identity-{F}(V10), P_b-{F}(V11), P_a-{F}(V12), P_c-{F}(V13), product-{F}(V10,V14,V15), product-{F}(V16,V15,V10), product-{F}(V16,V9,V17), P_inverse-{F}(V15,V18), product-{F}(V0,V18,V19), product-{F}(V15,V19,V9), product-{F}(V1,V18,V20), product-{F}(V15,V20,V9), product-{F}(V3,V18,V21), product-{F}(V15,V21,V9), product-{F}(V6,V18,V22), product-{F}(V15,V22,V9), product-{F}(V15,V23,V9), product-{F}(V15,V24,V9), product-{F}(V25,V10,V17), product-{F}(V26,V9,V25), product-{F}(V26,V27,V10), product-{F}(V27,V28,V15), product-{F}(V28,V29,V23), product-{F}(V10,V29,V30), product-{F}(V30,V14,V5), product-{F}(V15,V30,V9), product-{F}(V10,V31,V30), product-{F}(V28,V31,V24), P_inverse-{F}(V27,V32), product-{F}(V8,V32,V33), product-{F}(V27,V33,V9), product-{F}(V2,V32,V34), product-{F}(V27,V34,V9), product-{F}(V4,V32,V35), product-{F}(V27,V35,V9), product-{F}(V7,V32,V36), product-{F}(V27,V36,V9) | FALSE
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #3563: mergings( V34 == V48, V48 == V52, V52 == V56, V46 == V50, V50 == V54, V54 == V58, V3 == V4, V4 == V5, V5 == V8, V8 == V12, V12 == V13, V13 == V19, V19 == V28, V9 == V23, V23 == V29, V10 == V24, V24 == V30, V11 == V25, V25 == V32, V7 == V22, V22 == V27; #3518 ), references = 1, size of lhs = 48:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), subgroup_member-{F}(V4), subgroup_member-{F}(V5), subgroup_member-{F}(V6), subgroup_member-{F}(V7), subgroup_member-{F}(V8), P_d-{F}(V9), P_identity-{F}(V10), P_b-{F}(V11), P_a-{F}(V12), P_inverse-{F}(V12,V13), P_c-{F}(V14), product-{F}(V10,V15,V16), product-{F}(V17,V16,V10), product-{F}(V17,V9,V18), P_inverse-{F}(V16,V19), product-{F}(V0,V19,V20), product-{F}(V16,V20,V9), product-{F}(V1,V19,V21), product-{F}(V16,V21,V9), product-{F}(V3,V19,V22), product-{F}(V16,V22,V9), product-{F}(V6,V19,V23), product-{F}(V16,V23,V9), product-{F}(V16,V24,V9), product-{F}(V16,V25,V9), product-{F}(V26,V10,V18), product-{F}(V27,V9,V26), product-{F}(V27,V28,V10), product-{F}(V28,V29,V16), product-{F}(V29,V30,V24), product-{F}(V10,V30,V31), product-{F}(V31,V15,V5), product-{F}(V16,V31,V9), product-{F}(V10,V32,V31), product-{F}(V29,V32,V25), P_inverse-{F}(V28,V33), product-{F}(V8,V33,V34), product-{F}(V28,V34,V9), product-{F}(V2,V33,V35), product-{F}(V28,V35,V9), product-{F}(V4,V33,V36), product-{F}(V28,V36,V9), product-{F}(V7,V33,V37), product-{F}(V28,V37,V9) | FALSE
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #3585: mergings( V33 == V48, V48 == V52, V52 == V56, V45 == V50, V50 == V54, V54 == V58, V3 == V4, V4 == V5, V5 == V8, V8 == V12, V12 == V13, V13 == V19, V19 == V28, V9 == V23, V23 == V29, V10 == V24, V24 == V30, V11 == V25, V25 == V31, V7 == V22, V22 == V27; #3519 ), references = 1, size of lhs = 55:
% 41.30/41.52 subgroup_member-{F}(V0), subgroup_member-{F}(V1), subgroup_member-{F}(V2), subgroup_member-{F}(V3), subgroup_member-{F}(V4), subgroup_member-{F}(V5), subgroup_member-{F}(V6), subgroup_member-{F}(V7), subgroup_member-{F}(V8), P_d-{F}(V9), P_identity-{F}(V10), P_b-{F}(V11), P_a-{F}(V12), P_c-{F}(V13), product-{F}(V10,V14,V15), product-{F}(V16,V15,V10), product-{F}(V16,V9,V17), P_inverse-{F}(V15,V18), product-{F}(V0,V18,V19), product-{F}(V15,V19,V9), product-{F}(V1,V18,V20), product-{F}(V15,V20,V9), product-{F}(V3,V18,V21), product-{F}(V15,V21,V9), product-{F}(V6,V18,V22), product-{F}(V15,V22,V9), product-{F}(V15,V23,V9), product-{F}(V15,V24,V9), product-{F}(V25,V10,V17), product-{F}(V26,V9,V25), product-{F}(V26,V27,V10), product-{F}(V27,V28,V15), product-{F}(V28,V29,V23), product-{F}(V10,V29,V30), product-{F}(V30,V14,V5), product-{F}(V15,V30,V9), product-{F}(V10,V31,V30), product-{F}(V28,V31,V24), P_inverse-{F}(V27,V32), product-{F}(V8,V32,V33), product-{F}(V27,V33,V34), product-{F}(V2,V32,V35), product-{F}(V27,V35,V9), product-{F}(V4,V32,V36), product-{F}(V27,V36,V9), product-{F}(V7,V32,V37), product-{F}(V27,V37,V9), product-{F}(V10,V38,V39), product-{F}(V34,V38,V40), product-{F}(V39,V40,V9), product-{F}(V41,V9,V40), product-{F}(V34,V41,V42), product-{F}(V41,V42,V9), product-{F}(V34,V41,V43), product-{F}(V41,V43,V9) | FALSE
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #3623: mergings( V2 == V4, V4 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V15, V15 == V16, V16 == V18, V18 == V23, V3 == V5, V5 == V12, V12 == V19, V19 == V24, V13 == V20, V20 == V0, V6 == V14, V14 == V21, V21 == V25; #3602 ), references = 1, size of lhs = 16:
% 41.30/41.52 subgroup_member-{F}(V0), P_b-{F}(V0), subgroup_member-{F}(V1), P_d-{F}(V2), P_identity-{F}(V3), product-{F}(V0,V3,V1), P_a-{F}(V4), product-{F}(V3,V4,V4), P_c-{F}(V5), product-{F}(V3,V5,V6), product-{F}(V6,V3,V6), product-{F}(V4,V7,V4), product-{F}(V7,V8,V5), product-{F}(V3,V8,V5), product-{F}(V3,V9,V5), product-{F}(V7,V9,V5) | FALSE
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #3644: mergings( V2 == V4, V4 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V15, V15 == V16, V16 == V18, V18 == V23, V3 == V5, V5 == V12, V12 == V19, V19 == V24, V0 == V13, V13 == V20, V20 == V25, V6 == V14, V14 == V21, V21 == V26; #3601 ), references = 1, size of lhs = 16:
% 41.30/41.52 subgroup_member-{F}(V0), P_b-{F}(V0), subgroup_member-{F}(V1), P_d-{F}(V2), P_identity-{F}(V3), product-{F}(V0,V3,V1), P_a-{F}(V4), product-{F}(V3,V4,V4), P_c-{F}(V5), product-{F}(V3,V5,V6), product-{F}(V6,V3,V6), product-{F}(V4,V7,V4), product-{F}(V7,V8,V5), product-{F}(V3,V8,V5), product-{F}(V3,V9,V5), product-{F}(V7,V9,V5) | FALSE
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #3666: mergings( V2 == V4, V4 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V15, V15 == V16, V16 == V18, V18 == V24, V3 == V5, V5 == V12, V12 == V20, V20 == V25, V0 == V13, V13 == V21, V21 == V26, V6 == V14, V14 == V22, V22 == V27, V19 == V23; #3603 ), references = 1, size of lhs = 24:
% 41.30/41.52 subgroup_member-{F}(V0), P_b-{F}(V0), subgroup_member-{F}(V1), P_d-{F}(V2), P_identity-{F}(V3), product-{F}(V0,V3,V1), P_a-{F}(V4), product-{F}(V3,V4,V4), P_c-{F}(V5), product-{F}(V3,V5,V6), product-{F}(V6,V3,V6), product-{F}(V4,V7,V4), product-{F}(V7,V8,V5), product-{F}(V3,V8,V5), product-{F}(V3,V9,V5), product-{F}(V7,V9,V5), product-{F}(V3,V10,V11), product-{F}(V2,V10,V12), product-{F}(V11,V12,V2), product-{F}(V13,V2,V12), product-{F}(V2,V13,V14), product-{F}(V13,V14,V2), product-{F}(V2,V13,V15), product-{F}(V13,V15,V2) | FALSE
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #3691: mergings( V1 == V3, V3 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V14, V14 == V15, V15 == V17, V17 == V21, V2 == V4, V4 == V11, V11 == V18, V18 == V22, V12 == V19, V19 == V23, V5 == V13, V13 == V20, V20 == V24; #3669 ), references = 1, size of lhs = 15:
% 41.30/41.52 subgroup_member-{F}(V0), P_b-{F}(V0), subgroup_member-{F}(V1), P_identity-{F}(V2), product-{F}(V0,V2,V1), P_a-{F}(V3), product-{F}(V2,V3,V3), P_c-{F}(V4), product-{F}(V2,V4,V5), product-{F}(V5,V2,V5), product-{F}(V3,V6,V3), product-{F}(V6,V7,V4), product-{F}(V2,V7,V4), product-{F}(V2,V8,V4), product-{F}(V6,V8,V4) | FALSE
% 41.30/41.52 (used 0 times, uses = {})
% 41.30/41.52
% 41.30/41.52 #3712: mergings( V1 == V3, V3 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V15, V15 == V16, V16 == V18, V18 == V22, V2 == V4, V4 == V12, V12 == V19, V19 == V23, V5 == V13, V13 == V20, V20 == V24, V6 == V14, V14 == V21, V21 == V25; #3670 ), references = 1, size of lhs = 15:
% 41.30/41.53 subgroup_member-{F}(V0), P_b-{F}(V0), subgroup_member-{F}(V1), P_identity-{F}(V2), product-{F}(V0,V2,V1), P_a-{F}(V3), product-{F}(V2,V3,V3), P_c-{F}(V4), product-{F}(V2,V4,V5), product-{F}(V5,V2,V5), product-{F}(V3,V6,V3), product-{F}(V6,V7,V4), product-{F}(V2,V7,V4), product-{F}(V2,V8,V4), product-{F}(V6,V8,V4) | FALSE
% 41.30/41.53 (used 0 times, uses = {})
% 41.30/41.53
% 41.30/41.53 #3734: mergings( V1 == V2, V2 == V4, V4 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V16, V16 == V17, V17 == V19, V19 == V23, V3 == V5, V5 == V13, V13 == V20, V20 == V24, V6 == V14, V14 == V21, V21 == V25, V7 == V15, V15 == V22, V22 == V26; #3671 ), references = 1, size of lhs = 16:
% 41.30/41.53 subgroup_member-{F}(V0), P_b-{F}(V0), subgroup_member-{F}(V1), P_identity-{F}(V2), product-{F}(V0,V2,V1), product-{F}(V2,V2,V2), P_a-{F}(V3), product-{F}(V2,V3,V3), P_c-{F}(V4), product-{F}(V2,V4,V5), product-{F}(V5,V2,V5), product-{F}(V3,V6,V3), product-{F}(V6,V7,V4), product-{F}(V2,V7,V4), product-{F}(V2,V8,V4), product-{F}(V6,V8,V4) | FALSE
% 41.30/41.53 (used 0 times, uses = {})
% 41.30/41.53
% 41.30/41.53 #3759: mergings( V1 == V3, V3 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V11, V11 == V12, V12 == V14, V14 == V17, V2 == V4, V4 == V9, V9 == V15, V15 == V18, V10 == V16, V16 == V19; #3741 ), references = 2, size of lhs = 8:
% 41.30/41.53 subgroup_member-{F}(V0), P_b-{F}(V0), subgroup_member-{F}(V1), P_identity-{F}(V2), product-{F}(V0,V2,V1), P_a-{F}(V3), product-{F}(V2,V3,V3), product-{F}(V3,V2,V3) | FALSE
% 41.30/41.53 (used 0 times, uses = {})
% 41.30/41.53
% 41.30/41.53 #3776: mergings( V1 == V3, V3 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V12, V12 == V13, V13 == V15, V15 == V18, V2 == V4, V4 == V10, V10 == V16, V16 == V19, V5 == V11, V11 == V17, V17 == V20; #3742 ), references = 1, size of lhs = 8:
% 41.30/41.53 subgroup_member-{F}(V0), P_b-{F}(V0), subgroup_member-{F}(V1), P_identity-{F}(V2), product-{F}(V0,V2,V1), P_a-{F}(V3), product-{F}(V2,V3,V3), product-{F}(V3,V2,V3) | FALSE
% 41.30/41.53 (used 0 times, uses = {})
% 41.30/41.53
% 41.30/41.53 #3794: mergings( V1 == V2, V2 == V4, V4 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V13, V13 == V14, V14 == V16, V16 == V19, V3 == V5, V5 == V11, V11 == V17, V17 == V20, V6 == V12, V12 == V18, V18 == V21; #3743 ), references = 1, size of lhs = 9:
% 41.30/41.53 subgroup_member-{F}(V0), P_b-{F}(V0), subgroup_member-{F}(V1), P_identity-{F}(V2), product-{F}(V0,V2,V1), product-{F}(V2,V2,V2), P_a-{F}(V3), product-{F}(V2,V3,V3), product-{F}(V3,V2,V3) | FALSE
% 41.30/41.53 (used 0 times, uses = {})
% 41.30/41.53
% 41.30/41.53 #3804: exists( #26, #3798 ), references = 1, size of lhs = 5:
% 41.30/41.53 subgroup_member-{F}(V0), P_b-{F}(V0), subgroup_member-{F}(V1), P_identity-{F}(V2), product-{F}(V0,V2,V1) | FALSE
% 41.30/41.53 (used 0 times, uses = {})
% 41.30/41.53
% 41.30/41.53 #3815: mergings( V1 == V2; #3811 ), references = 1, size of lhs = 1:
% 41.30/41.53 P_identity-{F}(V0) | FALSE
% 41.30/41.53 (used 0 times, uses = {})
% 41.30/41.53
% 41.30/41.53 #3820: exists( #24, #3811 ), references = 1, size of lhs = 0:
% 41.30/41.53 FALSE | FALSE
% 41.30/41.53 (used 0 times, uses = {})
% 41.30/41.53
% 41.30/41.53 number of learnt formulas = 138
% 41.30/41.53
% 41.30/41.53
% 41.30/41.53 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 41.30/41.53
% 41.30/41.53 randbase = 1
%------------------------------------------------------------------------------