TSTP Solution File: GRP039-5 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP039-5 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n029.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 94.19s 94.39s
% Output : Refutation 94.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP039-5 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 14:20:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 94.19/94.39 GeoParameters:
% 94.19/94.39
% 94.19/94.39 tptp_input = 1
% 94.19/94.39 tptp_output = 0
% 94.19/94.39 nonempty = 1
% 94.19/94.39 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 94.19/94.39 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 94.19/94.39
% 94.19/94.39
% 94.19/94.39 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 94.19/94.39 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 94.19/94.39
% 94.19/94.39 RuleSystem INPUT:
% 94.19/94.39
% 94.19/94.39 Initial Rules:
% 94.19/94.39 #0: input, references = 5, size of lhs = 3:
% 94.19/94.39 P_identity-{F}(V0), P_multiply-{F}(V0,V1,V2), V2 == V1 | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #1: input, references = 4, size of lhs = 4:
% 94.19/94.39 P_identity-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V3), V3 == V0 | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #2: input, references = 11, size of lhs = 6:
% 94.19/94.39 P_identity-{F}(V0), P_multiply-{F}(V1,V2,V4), P_multiply-{F}(V4,V3,V5), P_multiply-{F}(V2,V3,V6), P_multiply-{F}(V1,V6,V7), V5 == V7 | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #3: input, references = 11, size of lhs = 3:
% 94.19/94.39 P_identity-{F}(V0), P_inverse-{F}(V1,V2), subgroup_member-{F}(V1) | subgroup_member-{T}(V2)
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #4: input, references = 13, size of lhs = 4:
% 94.19/94.39 P_identity-{F}(V0), subgroup_member-{F}(V2), P_multiply-{F}(V3,V2,V1), subgroup_member-{F}(V3) | subgroup_member-{T}(V1)
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #5: input, references = 4, size of lhs = 3:
% 94.19/94.39 P_identity-{F}(V0), P_multiply-{F}(V1,V0,V2), V2 == V1 | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #6: input, references = 4, size of lhs = 4:
% 94.19/94.39 P_identity-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V1,V2,V3), V3 == V0 | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #7: input, references = 3, size of lhs = 1:
% 94.19/94.39 P_identity-{F}(V0) | subgroup_member-{T}(V0)
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #8: input, references = 7, size of lhs = 2:
% 94.19/94.39 P_identity-{F}(V0), P_element_in_O2-{F}(V2,V1,V3) | subgroup_member-{T}(V1), subgroup_member-{T}(V2), subgroup_member-{T}(V3)
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #9: input, references = 4, size of lhs = 4:
% 94.19/94.39 P_identity-{F}(V0), P_element_in_O2-{F}(V2,V1,V3), P_multiply-{F}(V2,V3,V4), V4 == V1 | subgroup_member-{T}(V1), subgroup_member-{T}(V2)
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #10: input, references = 4, size of lhs = 2:
% 94.19/94.39 P_identity-{F}(V0), P_b-{F}(V1) | subgroup_member-{T}(V1)
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #11: input, references = 6, size of lhs = 7:
% 94.19/94.39 P_identity-{F}(V0), P_b-{F}(V1), P_a-{F}(V2), P_inverse-{F}(V2,V3), P_multiply-{F}(V1,V3,V4), P_c-{F}(V5), V4 == V5 | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #12: input, references = 5, size of lhs = 9:
% 94.19/94.39 P_identity-{F}(V0), P_b-{F}(V1), P_a-{F}(V2), P_inverse-{F}(V2,V3), P_multiply-{F}(V1,V3,V4), P_c-{F}(V5), P_multiply-{F}(V2,V5,V6), P_d-{F}(V7), V6 == V7 | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #13: input, references = 9, size of lhs = 9:
% 94.19/94.39 P_identity-{F}(V0), P_b-{F}(V1), P_a-{F}(V2), P_inverse-{F}(V2,V3), P_multiply-{F}(V1,V3,V4), P_c-{F}(V5), P_multiply-{F}(V2,V5,V6), P_d-{F}(V7), subgroup_member-{F}(V7) | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #14: input, references = 19, size of lhs = 2:
% 94.19/94.39 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #15: input, references = 4, size of lhs = 0:
% 94.19/94.39 FALSE | EXISTS V0: P_identity-{T}(V0)
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #16: input, references = 13, size of lhs = 1:
% 94.19/94.39 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #17: input, references = 5, size of lhs = 2:
% 94.19/94.39 #-{F} V0, #-{F} V1 | EXISTS V2: P_element_in_O2-{T}(V0,V1,V2)
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #18: input, references = 4, size of lhs = 0:
% 94.19/94.39 FALSE | EXISTS V0: P_b-{T}(V0)
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #19: input, references = 5, size of lhs = 0:
% 94.19/94.39 FALSE | EXISTS V0: P_a-{T}(V0)
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #20: input, references = 6, size of lhs = 0:
% 94.19/94.39 FALSE | EXISTS V0: P_c-{T}(V0)
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #21: input, references = 7, size of lhs = 0:
% 94.19/94.39 FALSE | EXISTS V0: P_d-{T}(V0)
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 number of initial rules = 22
% 94.19/94.39
% 94.19/94.39 Simplifiers:
% 94.19/94.39 #22: unsound, references = 3, size of lhs = 3:
% 94.19/94.39 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #23: unsound, references = 3, size of lhs = 3:
% 94.19/94.39 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #24: unsound, references = 3, size of lhs = 3:
% 94.19/94.39 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #25: unsound, references = 3, size of lhs = 3:
% 94.19/94.39 P_element_in_O2-{F}(V0,V1,V2), P_element_in_O2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #26: unsound, references = 3, size of lhs = 3:
% 94.19/94.39 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #27: unsound, references = 3, size of lhs = 3:
% 94.19/94.39 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #28: unsound, references = 3, size of lhs = 3:
% 94.19/94.39 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #29: unsound, references = 3, size of lhs = 3:
% 94.19/94.39 P_d-{F}(V0), P_d-{F}(V1), V0 == V1 | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 number of simplifiers = 8
% 94.19/94.39
% 94.19/94.39 Learnt:
% 94.19/94.39 #32: exists( #14, #1 ), references = 13, size of lhs = 2:
% 94.19/94.39 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | P_multiply-{T}(V2,V1,V0)
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #33: exists( #14, #6 ), references = 10, size of lhs = 2:
% 94.19/94.39 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | P_multiply-{T}(V1,V2,V0)
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #35: exists( #14, #5 ), references = 3, size of lhs = 2:
% 94.19/94.39 P_identity-{F}(V0), #-{F} V1 | P_multiply-{T}(V1,V0,V1)
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #43: mergings( V2 == V0; #39 ), references = 1, size of lhs = 1:
% 94.19/94.39 P_identity-{F}(V0) | P_inverse-{T}(V0,V0)
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #47: exists( #20, #11 ), references = 1, size of lhs = 5:
% 94.19/94.39 P_identity-{F}(V0), P_b-{F}(V1), P_a-{F}(V2), P_inverse-{F}(V2,V3), P_multiply-{F}(V1,V3,V4) | P_c-{T}(V4)
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #49: exists( #21, #12 ), references = 2, size of lhs = 7:
% 94.19/94.39 P_identity-{F}(V0), P_b-{F}(V1), P_a-{F}(V2), P_inverse-{F}(V2,V3), P_multiply-{F}(V1,V3,V4), P_c-{F}(V5), P_multiply-{F}(V2,V5,V6) | P_d-{T}(V6)
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #54: exists( #14, #0 ), references = 28, size of lhs = 2:
% 94.19/94.39 P_identity-{F}(V0), #-{F} V1 | P_multiply-{T}(V0,V1,V1)
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #55: exists( #14, #2 ), references = 33, size of lhs = 4:
% 94.19/94.39 P_identity-{F}(V0), P_multiply-{F}(V1,V2,V3), P_multiply-{F}(V2,V4,V5), P_multiply-{F}(V1,V5,V6) | P_multiply-{T}(V3,V4,V6)
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #67: mergings( V2 == V3; #63 ), references = 2, size of lhs = 4:
% 94.19/94.39 P_b-{F}(V0), P_identity-{F}(V0), P_a-{F}(V1), P_c-{F}(V2) | P_inverse-{T}(V1,V2)
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #82: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5; #77 ), references = 1, size of lhs = 4:
% 94.19/94.39 P_b-{F}(V0), subgroup_member-{F}(V0), P_identity-{F}(V0), P_a-{F}(V1) | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #88: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5; #83 ), references = 1, size of lhs = 3:
% 94.19/94.39 P_b-{F}(V0), subgroup_member-{F}(V0), P_identity-{F}(V0) | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #95: exists( #14, #12 ), references = 1, size of lhs = 8:
% 94.19/94.39 P_identity-{F}(V0), P_b-{F}(V1), P_a-{F}(V2), P_inverse-{F}(V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V4,V5), P_d-{F}(V6), V5 == V6 | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #96: exists( #14, #13 ), references = 6, size of lhs = 8:
% 94.19/94.39 P_identity-{F}(V0), P_b-{F}(V1), P_a-{F}(V2), P_inverse-{F}(V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V4,V5), P_d-{F}(V6), subgroup_member-{F}(V6) | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #97: exists( #14, #2 ), references = 30, size of lhs = 4:
% 94.19/94.39 P_identity-{F}(V0), P_multiply-{F}(V1,V2,V3), P_multiply-{F}(V3,V4,V5), P_multiply-{F}(V2,V4,V6) | P_multiply-{T}(V1,V6,V5)
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #100: exists( #16, #92 ), references = 2, size of lhs = 7:
% 94.19/94.39 P_identity-{F}(V0), P_b-{F}(V1), P_a-{F}(V2), P_c-{F}(V3), P_multiply-{F}(V2,V3,V4), P_d-{F}(V5), V4 == V5 | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #102: mergings( V5 == V6; #99 ), references = 6, size of lhs = 7:
% 94.19/94.39 P_identity-{F}(V0), P_b-{F}(V1), P_a-{F}(V2), P_c-{F}(V3), P_multiply-{F}(V2,V3,V4), P_d-{F}(V4), subgroup_member-{F}(V4) | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #104: exists( #21, #98 ), references = 1, size of lhs = 5:
% 94.19/94.39 P_identity-{F}(V0), P_b-{F}(V1), P_a-{F}(V2), P_c-{F}(V3), P_multiply-{F}(V2,V3,V4) | P_d-{T}(V4)
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #113: mergings( V2 == V3, V3 == V4; #110 ), references = 1, size of lhs = 3:
% 94.19/94.39 P_identity-{F}(V0), P_multiply-{F}(V1,V2,V0), P_multiply-{F}(V0,V2,V3) | P_inverse-{T}(V1,V3)
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #121: exists( #14, #11 ), references = 4, size of lhs = 5:
% 94.19/94.39 P_identity-{F}(V0), P_b-{F}(V1), P_a-{F}(V2), P_inverse-{F}(V2,V3), P_c-{F}(V4) | P_multiply-{T}(V1,V3,V4)
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #127: mergings( V2 == V3, V3 == V6; #124 ), references = 2, size of lhs = 7:
% 94.19/94.39 P_b-{F}(V0), P_a-{F}(V1), P_c-{F}(V2), P_identity-{F}(V3), P_multiply-{F}(V2,V1,V4), P_multiply-{F}(V0,V3,V5), V4 == V5 | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #131: exists( #14, #100 ), references = 4, size of lhs = 5:
% 94.19/94.39 P_identity-{F}(V0), P_b-{F}(V1), P_a-{F}(V2), P_c-{F}(V3), P_d-{F}(V4) | P_multiply-{T}(V2,V3,V4)
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #137: mergings( V1 == V6, V2 == V5, V3 == V4; #133 ), references = 1, size of lhs = 5:
% 94.19/94.39 P_c-{F}(V0), P_a-{F}(V0), P_b-{F}(V1), P_identity-{F}(V2), P_multiply-{F}(V1,V2,V3) | P_d-{T}(V3)
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #143: mergings( V2 == V3; #141 ), references = 2, size of lhs = 4:
% 94.19/94.39 P_identity-{F}(V0), P_multiply-{F}(V0,V1,V2), V2 == V0, P_multiply-{F}(V3,V1,V3) | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #151: mergings( V2 == V3; #149 ), references = 1, size of lhs = 4:
% 94.19/94.39 P_identity-{F}(V0), P_multiply-{F}(V1,V2,V2), P_multiply-{F}(V1,V0,V3), V0 == V3 | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #184: mergings( V0 == V4, V4 == V7, V7 == V9, V9 == V13, V13 == V16, V16 == V18, V10 == V19, V11 == V20, V12 == V21, V8 == V17; #165 ), references = 1, size of lhs = 13:
% 94.19/94.39 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_multiply-{F}(V5,V6,V2), P_multiply-{F}(V0,V7,V8), P_multiply-{F}(V7,V8,V2), P_element_in_O2-{F}(V9,V7,V10), P_multiply-{F}(V1,V9,V11), P_multiply-{F}(V9,V11,V2) | subgroup_member-{T}(V10)
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #196: mergings( V0 == V4, V4 == V7, V7 == V9, V9 == V13, V13 == V16, V16 == V18, V10 == V19, V11 == V20, V12 == V22, V8 == V23, V23 == V17; #166 ), references = 1, size of lhs = 14:
% 94.19/94.39 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_multiply-{F}(V5,V7,V2), P_multiply-{F}(V0,V8,V9), P_multiply-{F}(V8,V9,V2), P_element_in_O2-{F}(V10,V8,V11), P_multiply-{F}(V1,V10,V12), P_multiply-{F}(V10,V12,V2) | subgroup_member-{T}(V11)
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #208: mergings( V0 == V4, V4 == V7, V7 == V9, V9 == V15, V15 == V18, V18 == V20, V10 == V21, V11 == V22, V13 == V23, V14 == V19, V8 == V19; #168 ), references = 1, size of lhs = 14:
% 94.19/94.39 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_multiply-{F}(V5,V7,V2), P_multiply-{F}(V0,V8,V9), P_multiply-{F}(V8,V9,V2), P_element_in_O2-{F}(V10,V8,V11), P_multiply-{F}(V1,V10,V12), P_multiply-{F}(V10,V12,V2) | subgroup_member-{T}(V11)
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #247: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V7, V7 == V10; #239 ), references = 7, size of lhs = 12:
% 94.19/94.39 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_multiply-{F}(V6,V7,V3), P_multiply-{F}(V0,V8,V1), P_multiply-{F}(V4,V8,V9), P_multiply-{F}(V9,V2,V3) | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #254: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V7, V7 == V10, V15 == V9; #240 ), references = 7, size of lhs = 13:
% 94.19/94.39 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_multiply-{F}(V6,V8,V3), P_multiply-{F}(V0,V9,V1), P_multiply-{F}(V4,V9,V10), P_multiply-{F}(V10,V2,V3) | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #261: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V7, V7 == V10, V16 == V9; #241 ), references = 6, size of lhs = 14:
% 94.19/94.39 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_multiply-{F}(V5,V7,V8), P_c-{F}(V9), P_multiply-{F}(V6,V9,V3), P_multiply-{F}(V0,V10,V1), P_multiply-{F}(V4,V10,V11), P_multiply-{F}(V11,V2,V3) | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #275: mergings( V0 == V7; #271 ), references = 7, size of lhs = 13:
% 94.19/94.39 subgroup_member-{F}(V0), P_d-{F}(V1), P_identity-{F}(V2), P_b-{F}(V3), P_a-{F}(V4), P_c-{F}(V5), P_multiply-{F}(V4,V5,V1), P_multiply-{F}(V6,V7,V0), P_multiply-{F}(V2,V7,V8), P_multiply-{F}(V8,V6,V1), P_element_in_O2-{F}(V9,V6,V10), P_multiply-{F}(V9,V10,V11), V11 == V6 | subgroup_member-{T}(V9)
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #277: mergings( V0 == V7; #272 ), references = 1, size of lhs = 14:
% 94.19/94.39 subgroup_member-{F}(V0), P_d-{F}(V1), P_identity-{F}(V2), P_b-{F}(V3), P_a-{F}(V4), P_inverse-{F}(V4,V5), P_c-{F}(V6), P_multiply-{F}(V4,V6,V1), P_multiply-{F}(V7,V8,V0), P_multiply-{F}(V2,V8,V9), P_multiply-{F}(V9,V7,V1), P_element_in_O2-{F}(V10,V7,V11), P_multiply-{F}(V10,V11,V12), V12 == V7 | subgroup_member-{T}(V10)
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #279: mergings( V0 == V7; #273 ), references = 1, size of lhs = 15:
% 94.19/94.39 subgroup_member-{F}(V0), P_d-{F}(V1), P_identity-{F}(V2), P_b-{F}(V3), P_a-{F}(V4), P_inverse-{F}(V4,V5), P_multiply-{F}(V3,V5,V6), P_c-{F}(V7), P_multiply-{F}(V4,V7,V1), P_multiply-{F}(V8,V9,V0), P_multiply-{F}(V2,V9,V10), P_multiply-{F}(V10,V8,V1), P_element_in_O2-{F}(V11,V8,V12), P_multiply-{F}(V11,V12,V13), V13 == V8 | subgroup_member-{T}(V11)
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #301: mergings( V3 == V4, V4 == V5, V5 == V11, V6 == V12, V7 == V13, V8 == V14; #292 ), references = 1, size of lhs = 12:
% 94.19/94.39 P_d-{F}(V0), subgroup_member-{F}(V1), P_identity-{F}(V2), P_b-{F}(V3), P_a-{F}(V4), P_c-{F}(V5), P_multiply-{F}(V4,V5,V0), P_element_in_O2-{F}(V6,V6,V7), P_multiply-{F}(V6,V6,V8), P_multiply-{F}(V8,V7,V1), P_multiply-{F}(V7,V6,V9), P_multiply-{F}(V6,V9,V0) | P_multiply-{T}(V6,V7,V6)
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #308: mergings( V3 == V4, V4 == V5, V5 == V11, V6 == V12, V7 == V13, V8 == V15; #293 ), references = 1, size of lhs = 13:
% 94.19/94.39 P_d-{F}(V0), subgroup_member-{F}(V1), P_identity-{F}(V2), P_b-{F}(V3), P_a-{F}(V4), P_inverse-{F}(V4,V5), P_c-{F}(V6), P_multiply-{F}(V4,V6,V0), P_element_in_O2-{F}(V7,V7,V8), P_multiply-{F}(V7,V7,V9), P_multiply-{F}(V9,V8,V1), P_multiply-{F}(V8,V7,V10), P_multiply-{F}(V7,V10,V0) | P_multiply-{T}(V7,V8,V7)
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #315: mergings( V3 == V4, V4 == V5, V5 == V11, V6 == V12, V7 == V13, V8 == V16; #294 ), references = 1, size of lhs = 14:
% 94.19/94.39 P_d-{F}(V0), subgroup_member-{F}(V1), P_identity-{F}(V2), P_b-{F}(V3), P_a-{F}(V4), P_inverse-{F}(V4,V5), P_multiply-{F}(V3,V5,V6), P_c-{F}(V7), P_multiply-{F}(V4,V7,V0), P_element_in_O2-{F}(V8,V8,V9), P_multiply-{F}(V8,V8,V10), P_multiply-{F}(V10,V9,V1), P_multiply-{F}(V9,V8,V11), P_multiply-{F}(V8,V11,V0) | P_multiply-{T}(V8,V9,V8)
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #346: mergings( V5 == V11, V6 == V12, V7 == V13, V8 == V14, V4 == V10; #338 ), references = 2, size of lhs = 15:
% 94.19/94.39 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_multiply-{F}(V5,V6,V2), P_multiply-{F}(V7,V8,V0), P_multiply-{F}(V3,V8,V9), P_multiply-{F}(V9,V7,V2), P_element_in_O2-{F}(V10,V7,V11), P_multiply-{F}(V10,V12,V1), P_multiply-{F}(V3,V12,V13), P_multiply-{F}(V13,V10,V2) | P_multiply-{T}(V10,V11,V7)
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #352: mergings( V5 == V11, V6 == V12, V7 == V13, V8 == V15, V4 == V10; #339 ), references = 1, size of lhs = 16:
% 94.19/94.39 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_multiply-{F}(V5,V7,V2), P_multiply-{F}(V8,V9,V0), P_multiply-{F}(V3,V9,V10), P_multiply-{F}(V10,V8,V2), P_element_in_O2-{F}(V11,V8,V12), P_multiply-{F}(V11,V13,V1), P_multiply-{F}(V3,V13,V14), P_multiply-{F}(V14,V11,V2) | P_multiply-{T}(V11,V12,V8)
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #358: mergings( V5 == V11, V6 == V12, V7 == V13, V8 == V16, V4 == V10; #340 ), references = 1, size of lhs = 17:
% 94.19/94.39 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_multiply-{F}(V4,V6,V7), P_c-{F}(V8), P_multiply-{F}(V5,V8,V2), P_multiply-{F}(V9,V10,V0), P_multiply-{F}(V3,V10,V11), P_multiply-{F}(V11,V9,V2), P_element_in_O2-{F}(V12,V9,V13), P_multiply-{F}(V12,V14,V1), P_multiply-{F}(V3,V14,V15), P_multiply-{F}(V15,V12,V2) | P_multiply-{T}(V12,V13,V9)
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #375: mergings( V3 == V4, V4 == V10, V10 == V14, V5 == V11, V6 == V12, V7 == V13; #367 ), references = 1, size of lhs = 14:
% 94.19/94.39 P_d-{F}(V0), subgroup_member-{F}(V1), P_b-{F}(V2), P_a-{F}(V3), P_c-{F}(V4), P_multiply-{F}(V3,V4,V0), P_identity-{F}(V5), P_element_in_O2-{F}(V6,V6,V7), P_multiply-{F}(V5,V7,V8), V8 == V5, P_multiply-{F}(V6,V9,V10), P_multiply-{F}(V10,V11,V1), P_multiply-{F}(V11,V6,V12), P_multiply-{F}(V9,V12,V0) | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #383: mergings( V20 == V22, V3 == V4, V4 == V10, V10 == V14, V5 == V11, V6 == V12, V7 == V13; #368 ), references = 1, size of lhs = 15:
% 94.19/94.39 P_d-{F}(V0), subgroup_member-{F}(V1), P_b-{F}(V2), P_a-{F}(V3), P_c-{F}(V4), P_multiply-{F}(V3,V4,V0), P_identity-{F}(V5), P_element_in_O2-{F}(V6,V6,V7), P_multiply-{F}(V6,V8,V9), P_multiply-{F}(V9,V10,V1), P_multiply-{F}(V10,V6,V11), P_multiply-{F}(V8,V11,V0), P_multiply-{F}(V12,V6,V13), P_multiply-{F}(V13,V7,V14), V14 == V13 | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #394: mergings( V2 == V3, V3 == V9, V9 == V13, V4 == V10, V5 == V11, V6 == V12; #386 ), references = 1, size of lhs = 11:
% 94.19/94.39 P_d-{F}(V0), subgroup_member-{F}(V1), P_b-{F}(V2), P_a-{F}(V3), P_c-{F}(V4), P_multiply-{F}(V3,V4,V0), P_identity-{F}(V5), P_multiply-{F}(V6,V7,V1), P_multiply-{F}(V8,V9,V6), P_multiply-{F}(V7,V8,V10), P_multiply-{F}(V9,V10,V0) | P_element_in_O2-{T}(V8,V8,V5)
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #403: mergings( V2 == V16, V16 == V3, V3 == V4, V4 == V10, V10 == V14, V5 == V11, V6 == V12, V7 == V13; #387 ), references = 1, size of lhs = 12:
% 94.19/94.39 P_d-{F}(V0), subgroup_member-{F}(V1), P_b-{F}(V2), P_a-{F}(V3), P_c-{F}(V4), P_multiply-{F}(V3,V4,V0), P_identity-{F}(V5), P_multiply-{F}(V6,V7,V5), P_multiply-{F}(V7,V8,V9), P_multiply-{F}(V9,V10,V1), P_multiply-{F}(V10,V7,V11), P_multiply-{F}(V8,V11,V0) | P_element_in_O2-{T}(V7,V7,V5)
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #429: mergings( V3 == V7, V7 == V11; #426 ), references = 4, size of lhs = 16:
% 94.19/94.39 subgroup_member-{F}(V0), subgroup_member-{F}(V1), P_d-{F}(V2), P_b-{F}(V3), P_a-{F}(V4), P_c-{F}(V5), P_multiply-{F}(V4,V5,V2), P_identity-{F}(V6), P_multiply-{F}(V7,V8,V0), P_multiply-{F}(V6,V8,V9), P_multiply-{F}(V9,V7,V2), P_multiply-{F}(V10,V11,V1), P_multiply-{F}(V6,V11,V12), P_multiply-{F}(V12,V10,V2), P_multiply-{F}(V13,V10,V6), P_multiply-{F}(V13,V7,V14) | P_element_in_O2-{T}(V10,V7,V14)
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #447: mergings( V0 == V6, V6 == V14, V7 == V15, V8 == V16, V9 == V17, V5 == V13; #432 ), references = 1, size of lhs = 15:
% 94.19/94.39 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_multiply-{F}(V5,V6,V2), P_multiply-{F}(V0,V7,V8), P_multiply-{F}(V3,V7,V9), P_multiply-{F}(V9,V8,V2), P_element_in_O2-{F}(V10,V8,V11), P_multiply-{F}(V10,V12,V1), P_multiply-{F}(V3,V12,V13), P_multiply-{F}(V13,V10,V2) | subgroup_member-{T}(V11)
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #454: mergings( V0 == V6, V6 == V14, V7 == V15, V8 == V16, V9 == V18, V5 == V13; #433 ), references = 1, size of lhs = 16:
% 94.19/94.39 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_multiply-{F}(V5,V7,V2), P_multiply-{F}(V0,V8,V9), P_multiply-{F}(V3,V8,V10), P_multiply-{F}(V10,V9,V2), P_element_in_O2-{F}(V11,V9,V12), P_multiply-{F}(V11,V13,V1), P_multiply-{F}(V3,V13,V14), P_multiply-{F}(V14,V11,V2) | subgroup_member-{T}(V12)
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #461: mergings( V0 == V6, V6 == V15, V7 == V16, V8 == V17, V10 == V18, V5 == V14; #435 ), references = 1, size of lhs = 16:
% 94.19/94.39 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_multiply-{F}(V5,V7,V2), P_multiply-{F}(V0,V8,V9), P_multiply-{F}(V3,V8,V10), P_multiply-{F}(V10,V9,V2), P_element_in_O2-{F}(V11,V9,V12), P_multiply-{F}(V11,V13,V1), P_multiply-{F}(V3,V13,V14), P_multiply-{F}(V14,V11,V2) | subgroup_member-{T}(V12)
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #498: mergings( V3 == V4, V4 == V5, V5 == V11, V11 == V12, V12 == V15, V15 == V20, V20 == V24, V7 == V16, V16 == V21, V21 == V25, V8 == V17, V17 == V22, V22 == V26, V9 == V18, V10 == V14, V18 == V23, V23 == V27, V14 == V28; #477 ), references = 3, size of lhs = 21:
% 94.19/94.39 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_multiply-{F}(V5,V6,V7), P_d-{F}(V7), P_multiply-{F}(V3,V8,V9), P_multiply-{F}(V10,V8,V0), P_multiply-{F}(V9,V10,V7), P_multiply-{F}(V11,V10,V7), P_multiply-{F}(V11,V12,V3), P_multiply-{F}(V1,V13,V10), P_multiply-{F}(V3,V13,V14), P_multiply-{F}(V14,V10,V7), P_multiply-{F}(V12,V15,V16), P_multiply-{F}(V16,V17,V2), P_multiply-{F}(V17,V12,V18), P_multiply-{F}(V15,V18,V7) | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #518: mergings( V3 == V4, V4 == V5, V5 == V11, V11 == V12, V12 == V15, V15 == V20, V20 == V24, V7 == V16, V16 == V21, V21 == V25, V8 == V17, V17 == V22, V22 == V26, V9 == V18, V10 == V14, V18 == V23, V23 == V28, V14 == V29, V29 == V30; #478 ), references = 3, size of lhs = 22:
% 94.19/94.39 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_multiply-{F}(V5,V7,V8), P_d-{F}(V8), P_multiply-{F}(V3,V9,V10), P_multiply-{F}(V11,V9,V0), P_multiply-{F}(V10,V11,V8), P_multiply-{F}(V12,V11,V8), P_multiply-{F}(V12,V13,V3), P_multiply-{F}(V1,V14,V11), P_multiply-{F}(V3,V14,V15), P_multiply-{F}(V15,V11,V8), P_multiply-{F}(V13,V16,V17), P_multiply-{F}(V17,V18,V2), P_multiply-{F}(V18,V13,V19), P_multiply-{F}(V16,V19,V8) | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #538: mergings( V3 == V4, V4 == V5, V5 == V11, V11 == V12, V12 == V15, V15 == V20, V20 == V24, V7 == V16, V16 == V21, V21 == V25, V8 == V17, V17 == V22, V22 == V26, V9 == V18, V10 == V14, V18 == V23, V23 == V29, V14 == V30, V30 == V31; #479 ), references = 2, size of lhs = 23:
% 94.19/94.39 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_multiply-{F}(V4,V6,V7), P_c-{F}(V8), P_multiply-{F}(V5,V8,V9), P_d-{F}(V9), P_multiply-{F}(V3,V10,V11), P_multiply-{F}(V12,V10,V0), P_multiply-{F}(V11,V12,V9), P_multiply-{F}(V13,V12,V9), P_multiply-{F}(V13,V14,V3), P_multiply-{F}(V1,V15,V12), P_multiply-{F}(V3,V15,V16), P_multiply-{F}(V16,V12,V9), P_multiply-{F}(V14,V17,V18), P_multiply-{F}(V18,V19,V2), P_multiply-{F}(V19,V14,V20), P_multiply-{F}(V17,V20,V9) | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #580: mergings( V2 == V3, V3 == V4, V4 == V8; #574 ), references = 2, size of lhs = 22:
% 94.19/94.39 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_multiply-{F}(V5,V6,V7), P_d-{F}(V7), P_multiply-{F}(V3,V8,V9), P_multiply-{F}(V10,V8,V0), P_multiply-{F}(V9,V10,V7), P_multiply-{F}(V11,V10,V7), P_multiply-{F}(V1,V12,V10), P_multiply-{F}(V3,V12,V13), P_multiply-{F}(V13,V10,V7), P_multiply-{F}(V14,V11,V15), P_multiply-{F}(V14,V3,V16), P_multiply-{F}(V17,V15,V2), P_multiply-{F}(V3,V18,V17), P_multiply-{F}(V11,V18,V19), P_multiply-{F}(V19,V16,V7) | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #584: mergings( V2 == V3, V3 == V4, V4 == V8; #575 ), references = 1, size of lhs = 23:
% 94.19/94.39 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_multiply-{F}(V5,V7,V8), P_d-{F}(V8), P_multiply-{F}(V3,V9,V10), P_multiply-{F}(V11,V9,V0), P_multiply-{F}(V10,V11,V8), P_multiply-{F}(V12,V11,V8), P_multiply-{F}(V1,V13,V11), P_multiply-{F}(V3,V13,V14), P_multiply-{F}(V14,V11,V8), P_multiply-{F}(V15,V12,V16), P_multiply-{F}(V15,V3,V17), P_multiply-{F}(V18,V16,V2), P_multiply-{F}(V3,V19,V18), P_multiply-{F}(V12,V19,V20), P_multiply-{F}(V20,V17,V8) | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #588: mergings( V2 == V3, V3 == V4, V4 == V8; #576 ), references = 1, size of lhs = 24:
% 94.19/94.39 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_multiply-{F}(V4,V6,V7), P_c-{F}(V8), P_multiply-{F}(V5,V8,V9), P_d-{F}(V9), P_multiply-{F}(V3,V10,V11), P_multiply-{F}(V12,V10,V0), P_multiply-{F}(V11,V12,V9), P_multiply-{F}(V13,V12,V9), P_multiply-{F}(V1,V14,V12), P_multiply-{F}(V3,V14,V15), P_multiply-{F}(V15,V12,V9), P_multiply-{F}(V16,V13,V17), P_multiply-{F}(V16,V3,V18), P_multiply-{F}(V19,V17,V2), P_multiply-{F}(V3,V20,V19), P_multiply-{F}(V13,V20,V21), P_multiply-{F}(V21,V18,V9) | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #615: mergings( V3 == V4, V4 == V5, V5 == V8; #609 ), references = 1, size of lhs = 20:
% 94.19/94.39 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_multiply-{F}(V5,V6,V7), P_d-{F}(V7), P_multiply-{F}(V8,V1,V2), P_multiply-{F}(V1,V9,V0), P_multiply-{F}(V3,V10,V11), P_multiply-{F}(V11,V12,V3), P_multiply-{F}(V3,V12,V11), P_multiply-{F}(V12,V11,V8), P_multiply-{F}(V12,V10,V9), P_multiply-{F}(V1,V13,V14), P_multiply-{F}(V13,V15,V12), P_multiply-{F}(V11,V14,V16), P_multiply-{F}(V16,V15,V7) | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #619: mergings( V3 == V4, V4 == V5, V5 == V8; #610 ), references = 1, size of lhs = 21:
% 94.19/94.39 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_multiply-{F}(V5,V7,V8), P_d-{F}(V8), P_multiply-{F}(V9,V1,V2), P_multiply-{F}(V1,V10,V0), P_multiply-{F}(V3,V11,V12), P_multiply-{F}(V12,V13,V3), P_multiply-{F}(V3,V13,V12), P_multiply-{F}(V13,V12,V9), P_multiply-{F}(V13,V11,V10), P_multiply-{F}(V1,V14,V15), P_multiply-{F}(V14,V16,V13), P_multiply-{F}(V12,V15,V17), P_multiply-{F}(V17,V16,V8) | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #623: mergings( V3 == V4, V4 == V5, V5 == V8; #611 ), references = 1, size of lhs = 23:
% 94.19/94.39 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_multiply-{F}(V5,V6,V7), P_d-{F}(V7), P_multiply-{F}(V1,V8,V0), P_multiply-{F}(V3,V9,V10), P_multiply-{F}(V3,V11,V10), P_multiply-{F}(V11,V9,V8), P_multiply-{F}(V12,V10,V13), P_multiply-{F}(V12,V3,V14), P_multiply-{F}(V15,V13,V2), P_multiply-{F}(V3,V16,V15), P_multiply-{F}(V10,V16,V17), P_multiply-{F}(V17,V14,V7), P_multiply-{F}(V1,V18,V19), P_multiply-{F}(V18,V20,V11), P_multiply-{F}(V10,V19,V21), P_multiply-{F}(V21,V20,V7) | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #654: mergings( V5 == V9, V9 == V12, V6 == V13, V7 == V14, V8 == V15, V4 == V11; #645 ), references = 1, size of lhs = 16:
% 94.19/94.39 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_multiply-{F}(V5,V6,V2), P_multiply-{F}(V7,V8,V0), P_multiply-{F}(V3,V8,V9), P_multiply-{F}(V9,V7,V2), P_element_in_O2-{F}(V10,V7,V11), P_inverse-{F}(V10,V12), P_multiply-{F}(V12,V13,V1), P_multiply-{F}(V3,V13,V14), P_multiply-{F}(V14,V12,V2) | P_multiply-{T}(V10,V11,V7)
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #661: mergings( V5 == V9, V9 == V12, V6 == V13, V7 == V14, V8 == V16, V4 == V11; #646 ), references = 1, size of lhs = 17:
% 94.19/94.39 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_multiply-{F}(V5,V7,V2), P_multiply-{F}(V8,V9,V0), P_multiply-{F}(V3,V9,V10), P_multiply-{F}(V10,V8,V2), P_element_in_O2-{F}(V11,V8,V12), P_inverse-{F}(V11,V13), P_multiply-{F}(V13,V14,V1), P_multiply-{F}(V3,V14,V15), P_multiply-{F}(V15,V13,V2) | P_multiply-{T}(V11,V12,V8)
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #668: mergings( V5 == V9, V9 == V12, V6 == V13, V7 == V14, V8 == V17, V4 == V11; #647 ), references = 1, size of lhs = 18:
% 94.19/94.39 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_multiply-{F}(V4,V6,V7), P_c-{F}(V8), P_multiply-{F}(V5,V8,V2), P_multiply-{F}(V9,V10,V0), P_multiply-{F}(V3,V10,V11), P_multiply-{F}(V11,V9,V2), P_element_in_O2-{F}(V12,V9,V13), P_inverse-{F}(V12,V14), P_multiply-{F}(V14,V15,V1), P_multiply-{F}(V3,V15,V16), P_multiply-{F}(V16,V14,V2) | P_multiply-{T}(V12,V13,V9)
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #694: mergings( V0 == V4, V4 == V8, V8 == V14, V14 == V18, V9 == V19, V10 == V20, V11 == V21, V7 == V17; #677 ), references = 7, size of lhs = 17:
% 94.19/94.39 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_multiply-{F}(V5,V6,V2), P_inverse-{F}(V7,V8), P_multiply-{F}(V8,V9,V0), P_multiply-{F}(V3,V9,V10), P_multiply-{F}(V10,V8,V2), P_element_in_O2-{F}(V11,V7,V12), P_inverse-{F}(V11,V13), P_multiply-{F}(V13,V14,V1), P_multiply-{F}(V3,V14,V15), P_multiply-{F}(V15,V13,V2) | subgroup_member-{T}(V12)
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #703: mergings( V0 == V4, V4 == V8, V8 == V14, V14 == V18, V9 == V19, V10 == V20, V11 == V22, V7 == V17; #678 ), references = 1, size of lhs = 18:
% 94.19/94.39 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_multiply-{F}(V5,V7,V2), P_inverse-{F}(V8,V9), P_multiply-{F}(V9,V10,V0), P_multiply-{F}(V3,V10,V11), P_multiply-{F}(V11,V9,V2), P_element_in_O2-{F}(V12,V8,V13), P_inverse-{F}(V12,V14), P_multiply-{F}(V14,V15,V1), P_multiply-{F}(V3,V15,V16), P_multiply-{F}(V16,V14,V2) | subgroup_member-{T}(V13)
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #712: mergings( V0 == V4, V4 == V8, V8 == V15, V15 == V19, V9 == V20, V10 == V21, V12 == V22, V7 == V18; #680 ), references = 1, size of lhs = 18:
% 94.19/94.39 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_multiply-{F}(V5,V7,V2), P_inverse-{F}(V8,V9), P_multiply-{F}(V9,V10,V0), P_multiply-{F}(V3,V10,V11), P_multiply-{F}(V11,V9,V2), P_element_in_O2-{F}(V12,V8,V13), P_inverse-{F}(V12,V14), P_multiply-{F}(V14,V15,V1), P_multiply-{F}(V3,V15,V16), P_multiply-{F}(V16,V14,V2) | subgroup_member-{T}(V13)
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #739: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V11, V11 == V16, V7 == V12, V12 == V17, V8 == V13, V13 == V18, V9 == V14, V14 == V19; #725 ), references = 1, size of lhs = 14:
% 94.19/94.39 P_d-{F}(V0), subgroup_member-{F}(V1), P_identity-{F}(V2), P_b-{F}(V3), P_a-{F}(V4), P_c-{F}(V5), P_multiply-{F}(V4,V5,V0), P_inverse-{F}(V6,V7), P_element_in_O2-{F}(V8,V6,V7), P_inverse-{F}(V8,V7), P_multiply-{F}(V7,V9,V10), P_multiply-{F}(V10,V11,V1), P_multiply-{F}(V11,V7,V12), P_multiply-{F}(V9,V12,V0) | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #751: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V11, V11 == V16, V7 == V12, V12 == V17, V8 == V13, V13 == V18, V9 == V14, V14 == V20; #726 ), references = 1, size of lhs = 15:
% 94.19/94.39 P_d-{F}(V0), subgroup_member-{F}(V1), P_identity-{F}(V2), P_b-{F}(V3), P_a-{F}(V4), P_inverse-{F}(V4,V5), P_c-{F}(V6), P_multiply-{F}(V4,V6,V0), P_inverse-{F}(V7,V8), P_element_in_O2-{F}(V9,V7,V8), P_inverse-{F}(V9,V8), P_multiply-{F}(V8,V10,V11), P_multiply-{F}(V11,V12,V1), P_multiply-{F}(V12,V8,V13), P_multiply-{F}(V10,V13,V0) | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #763: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V11, V11 == V16, V7 == V12, V12 == V17, V8 == V13, V13 == V18, V9 == V14, V14 == V21; #727 ), references = 1, size of lhs = 16:
% 94.19/94.39 P_d-{F}(V0), subgroup_member-{F}(V1), P_identity-{F}(V2), P_b-{F}(V3), P_a-{F}(V4), P_inverse-{F}(V4,V5), P_multiply-{F}(V3,V5,V6), P_c-{F}(V7), P_multiply-{F}(V4,V7,V0), P_inverse-{F}(V8,V9), P_element_in_O2-{F}(V10,V8,V9), P_inverse-{F}(V10,V9), P_multiply-{F}(V9,V11,V12), P_multiply-{F}(V12,V13,V1), P_multiply-{F}(V13,V9,V14), P_multiply-{F}(V11,V14,V0) | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #810: mergings( V3 == V4, V4 == V7, V7 == V11, V8 == V12, V9 == V13, V10 == V14, V6 == V15; #800 ), references = 1, size of lhs = 14:
% 94.19/94.39 subgroup_member-{F}(V0), P_identity-{F}(V1), P_b-{F}(V2), P_a-{F}(V3), P_c-{F}(V4), P_multiply-{F}(V3,V4,V5), P_d-{F}(V5), P_inverse-{F}(V6,V7), P_element_in_O2-{F}(V8,V6,V5), P_inverse-{F}(V8,V7), P_multiply-{F}(V7,V9,V10), P_multiply-{F}(V10,V11,V0), P_multiply-{F}(V11,V7,V12), P_multiply-{F}(V9,V12,V5) | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #819: mergings( V3 == V4, V4 == V7, V7 == V11, V8 == V12, V9 == V13, V10 == V15, V6 == V16, V16 == V17; #801 ), references = 1, size of lhs = 15:
% 94.19/94.39 subgroup_member-{F}(V0), P_identity-{F}(V1), P_b-{F}(V2), P_a-{F}(V3), P_inverse-{F}(V3,V4), P_c-{F}(V5), P_multiply-{F}(V3,V5,V6), P_d-{F}(V6), P_inverse-{F}(V7,V8), P_element_in_O2-{F}(V9,V7,V6), P_inverse-{F}(V9,V8), P_multiply-{F}(V8,V10,V11), P_multiply-{F}(V11,V12,V0), P_multiply-{F}(V12,V8,V13), P_multiply-{F}(V10,V13,V6) | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #828: mergings( V3 == V4, V4 == V7, V7 == V11, V8 == V12, V9 == V13, V10 == V16, V6 == V17, V17 == V18; #802 ), references = 1, size of lhs = 16:
% 94.19/94.39 subgroup_member-{F}(V0), P_identity-{F}(V1), P_b-{F}(V2), P_a-{F}(V3), P_inverse-{F}(V3,V4), P_multiply-{F}(V2,V4,V5), P_c-{F}(V6), P_multiply-{F}(V3,V6,V7), P_d-{F}(V7), P_inverse-{F}(V8,V9), P_element_in_O2-{F}(V10,V8,V7), P_inverse-{F}(V10,V9), P_multiply-{F}(V9,V11,V12), P_multiply-{F}(V12,V13,V0), P_multiply-{F}(V13,V9,V14), P_multiply-{F}(V11,V14,V7) | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #854: mergings( V3 == V4, V4 == V7, V7 == V13, V8 == V14, V9 == V15, V10 == V16, V6 == V12; #844 ), references = 1, size of lhs = 18:
% 94.19/94.39 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_multiply-{F}(V5,V6,V2), P_inverse-{F}(V7,V8), P_inverse-{F}(V9,V8), P_element_in_O2-{F}(V9,V7,V10), P_multiply-{F}(V10,V11,V1), P_multiply-{F}(V3,V11,V12), P_multiply-{F}(V12,V10,V2), P_multiply-{F}(V8,V13,V14), P_multiply-{F}(V14,V15,V0), P_multiply-{F}(V15,V8,V16), P_multiply-{F}(V13,V16,V2) | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #862: mergings( V3 == V4, V4 == V7, V7 == V13, V8 == V14, V9 == V15, V10 == V17, V6 == V12; #845 ), references = 1, size of lhs = 19:
% 94.19/94.39 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_multiply-{F}(V5,V7,V2), P_inverse-{F}(V8,V9), P_inverse-{F}(V10,V9), P_element_in_O2-{F}(V10,V8,V11), P_multiply-{F}(V11,V12,V1), P_multiply-{F}(V3,V12,V13), P_multiply-{F}(V13,V11,V2), P_multiply-{F}(V9,V14,V15), P_multiply-{F}(V15,V16,V0), P_multiply-{F}(V16,V9,V17), P_multiply-{F}(V14,V17,V2) | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #870: mergings( V3 == V4, V4 == V7, V7 == V13, V8 == V14, V9 == V15, V10 == V18, V6 == V12; #846 ), references = 1, size of lhs = 20:
% 94.19/94.39 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_multiply-{F}(V4,V6,V7), P_c-{F}(V8), P_multiply-{F}(V5,V8,V2), P_inverse-{F}(V9,V10), P_inverse-{F}(V11,V10), P_element_in_O2-{F}(V11,V9,V12), P_multiply-{F}(V12,V13,V1), P_multiply-{F}(V3,V13,V14), P_multiply-{F}(V14,V12,V2), P_multiply-{F}(V10,V15,V16), P_multiply-{F}(V16,V17,V0), P_multiply-{F}(V17,V10,V18), P_multiply-{F}(V15,V18,V2) | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #905: mergings( V0 == V6, V6 == V14, V7 == V15, V8 == V16, V9 == V17, V5 == V13; #890 ), references = 1, size of lhs = 15:
% 94.19/94.39 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_multiply-{F}(V5,V6,V2), P_multiply-{F}(V7,V8,V0), P_multiply-{F}(V3,V8,V9), P_multiply-{F}(V9,V7,V2), P_element_in_O2-{F}(V10,V7,V11), P_multiply-{F}(V10,V12,V1), P_multiply-{F}(V3,V12,V13), P_multiply-{F}(V13,V10,V2) | subgroup_member-{T}(V11)
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #912: mergings( V0 == V6, V6 == V14, V7 == V15, V8 == V16, V9 == V18, V5 == V13; #891 ), references = 1, size of lhs = 16:
% 94.19/94.39 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_multiply-{F}(V5,V7,V2), P_multiply-{F}(V8,V9,V0), P_multiply-{F}(V3,V9,V10), P_multiply-{F}(V10,V8,V2), P_element_in_O2-{F}(V11,V8,V12), P_multiply-{F}(V11,V13,V1), P_multiply-{F}(V3,V13,V14), P_multiply-{F}(V14,V11,V2) | subgroup_member-{T}(V12)
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #919: mergings( V0 == V6, V6 == V15, V7 == V16, V8 == V17, V10 == V18, V5 == V14; #893 ), references = 1, size of lhs = 16:
% 94.19/94.39 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_multiply-{F}(V5,V7,V2), P_multiply-{F}(V8,V9,V0), P_multiply-{F}(V3,V9,V10), P_multiply-{F}(V10,V8,V2), P_element_in_O2-{F}(V11,V8,V12), P_multiply-{F}(V11,V13,V1), P_multiply-{F}(V3,V13,V14), P_multiply-{F}(V14,V11,V2) | subgroup_member-{T}(V12)
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #954: mergings( V3 == V4, V4 == V10, V10 == V13, V13 == V18, V18 == V22, V6 == V14, V14 == V19, V19 == V23, V7 == V15, V15 == V20, V20 == V24, V8 == V16, V9 == V12, V16 == V21, V21 == V25, V12 == V26; #935 ), references = 1, size of lhs = 21:
% 94.19/94.39 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_multiply-{F}(V5,V6,V7), P_d-{F}(V7), P_multiply-{F}(V8,V9,V0), P_multiply-{F}(V3,V9,V10), P_multiply-{F}(V10,V8,V7), P_multiply-{F}(V11,V8,V7), P_multiply-{F}(V11,V12,V3), P_multiply-{F}(V8,V13,V1), P_multiply-{F}(V3,V13,V14), P_multiply-{F}(V14,V8,V7), P_multiply-{F}(V12,V15,V16), P_multiply-{F}(V16,V17,V2), P_multiply-{F}(V17,V12,V18), P_multiply-{F}(V15,V18,V7) | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #972: mergings( V3 == V4, V4 == V10, V10 == V13, V13 == V18, V18 == V22, V6 == V14, V14 == V19, V19 == V23, V7 == V15, V15 == V20, V20 == V24, V8 == V16, V9 == V12, V16 == V21, V21 == V26, V12 == V27, V27 == V28; #936 ), references = 1, size of lhs = 22:
% 94.19/94.39 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_multiply-{F}(V5,V7,V8), P_d-{F}(V8), P_multiply-{F}(V9,V10,V0), P_multiply-{F}(V3,V10,V11), P_multiply-{F}(V11,V9,V8), P_multiply-{F}(V12,V9,V8), P_multiply-{F}(V12,V13,V3), P_multiply-{F}(V9,V14,V1), P_multiply-{F}(V3,V14,V15), P_multiply-{F}(V15,V9,V8), P_multiply-{F}(V13,V16,V17), P_multiply-{F}(V17,V18,V2), P_multiply-{F}(V18,V13,V19), P_multiply-{F}(V16,V19,V8) | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #990: mergings( V3 == V4, V4 == V10, V10 == V13, V13 == V18, V18 == V22, V6 == V14, V14 == V19, V19 == V23, V7 == V15, V15 == V20, V20 == V24, V8 == V16, V9 == V12, V16 == V21, V21 == V27, V12 == V28, V28 == V29; #937 ), references = 1, size of lhs = 23:
% 94.19/94.39 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_multiply-{F}(V4,V6,V7), P_c-{F}(V8), P_multiply-{F}(V5,V8,V9), P_d-{F}(V9), P_multiply-{F}(V10,V11,V0), P_multiply-{F}(V3,V11,V12), P_multiply-{F}(V12,V10,V9), P_multiply-{F}(V13,V10,V9), P_multiply-{F}(V13,V14,V3), P_multiply-{F}(V10,V15,V1), P_multiply-{F}(V3,V15,V16), P_multiply-{F}(V16,V10,V9), P_multiply-{F}(V14,V17,V18), P_multiply-{F}(V18,V19,V2), P_multiply-{F}(V19,V14,V20), P_multiply-{F}(V17,V20,V9) | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #1028: mergings( V11 == V28, V2 == V3, V3 == V5, V5 == V6, V6 == V7, V7 == V12, V12 == V15, V15 == V20, V29 == V30, V28 == V14, V20 == V24, V8 == V16, V16 == V21, V21 == V25, V9 == V17, V17 == V22, V22 == V0, V4 == V10, V10 == V18, V18 == V23, V23 == V26, V27 == V14; #1004 ), references = 1, size of lhs = 12:
% 94.19/94.39 subgroup_member-{F}(V0), subgroup_member-{F}(V1), P_identity-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V2,V3,V1), P_multiply-{F}(V3,V2,V0), P_a-{F}(V4), P_c-{F}(V5), P_d-{F}(V6), P_multiply-{F}(V4,V5,V6), P_multiply-{F}(V2,V4,V7), P_multiply-{F}(V7,V5,V6) | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #1052: mergings( V12 == V29, V2 == V3, V3 == V6, V6 == V7, V7 == V8, V8 == V13, V13 == V16, V16 == V21, V30 == V31, V29 == V15, V21 == V25, V4 == V9, V9 == V17, V17 == V22, V22 == V26, V10 == V18, V18 == V23, V23 == V0, V5 == V11, V11 == V19, V19 == V24, V24 == V27, V28 == V15; #1005 ), references = 1, size of lhs = 12:
% 94.19/94.39 subgroup_member-{F}(V0), subgroup_member-{F}(V1), P_identity-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V3,V2,V0), P_multiply-{F}(V2,V3,V1), P_a-{F}(V4), P_c-{F}(V5), P_d-{F}(V6), P_multiply-{F}(V4,V5,V6), P_multiply-{F}(V2,V4,V7), P_multiply-{F}(V7,V5,V6) | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #1076: mergings( V12 == V29, V2 == V3, V3 == V6, V6 == V7, V7 == V8, V8 == V13, V13 == V16, V16 == V21, V30 == V31, V29 == V15, V21 == V25, V4 == V9, V9 == V17, V17 == V22, V22 == V26, V0 == V10, V10 == V18, V18 == V23, V23 == V27, V5 == V11, V11 == V19, V19 == V24, V24 == V28; #1003 ), references = 1, size of lhs = 12:
% 94.19/94.39 subgroup_member-{F}(V0), subgroup_member-{F}(V1), P_identity-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V3,V2,V0), P_multiply-{F}(V2,V3,V1), P_a-{F}(V4), P_c-{F}(V5), P_d-{F}(V6), P_multiply-{F}(V4,V5,V6), P_multiply-{F}(V2,V4,V7), P_multiply-{F}(V7,V5,V6) | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #1096: mergings( V1 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V14, V14 == V16, V2 == V8, V8 == V12, V12 == V15, V15 == V17; #1080 ), references = 1, size of lhs = 9:
% 94.19/94.39 subgroup_member-{F}(V0), subgroup_member-{F}(V1), P_identity-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V2,V3,V1), P_multiply-{F}(V3,V2,V0), P_a-{F}(V4), P_multiply-{F}(V2,V4,V4), P_c-{F}(V5) | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #1111: mergings( V1 == V3, V3 == V4, V4 == V6, V6 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V15, V15 == V17, V2 == V5, V5 == V9, V9 == V13, V13 == V16, V16 == V18; #1081 ), references = 1, size of lhs = 9:
% 94.19/94.39 subgroup_member-{F}(V0), subgroup_member-{F}(V1), P_identity-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V3,V2,V0), P_multiply-{F}(V2,V3,V1), P_a-{F}(V4), P_multiply-{F}(V2,V4,V4), P_c-{F}(V5) | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #1126: mergings( V1 == V3, V3 == V4, V4 == V6, V6 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V15, V15 == V17, V2 == V5, V5 == V9, V9 == V13, V13 == V16, V16 == V18; #1082 ), references = 1, size of lhs = 9:
% 94.19/94.39 subgroup_member-{F}(V0), subgroup_member-{F}(V1), P_identity-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V3,V2,V0), P_multiply-{F}(V2,V3,V1), P_a-{F}(V4), P_multiply-{F}(V2,V4,V4), P_c-{F}(V5) | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #1143: mergings( V1 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V14, V14 == V16, V2 == V8, V8 == V12, V12 == V15, V15 == V17; #1127 ), references = 2, size of lhs = 8:
% 94.19/94.39 subgroup_member-{F}(V0), subgroup_member-{F}(V1), P_identity-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V2,V3,V1), P_multiply-{F}(V3,V2,V0), P_a-{F}(V4), P_multiply-{F}(V2,V4,V4) | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #1158: mergings( V1 == V3, V3 == V4, V4 == V6, V6 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V15, V15 == V17, V2 == V5, V5 == V9, V9 == V13, V13 == V16, V16 == V18; #1128 ), references = 1, size of lhs = 8:
% 94.19/94.39 subgroup_member-{F}(V0), subgroup_member-{F}(V1), P_identity-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V3,V2,V0), P_multiply-{F}(V2,V3,V1), P_a-{F}(V4), P_multiply-{F}(V2,V4,V4) | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #1173: mergings( V1 == V3, V3 == V4, V4 == V6, V6 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V15, V15 == V17, V2 == V5, V5 == V9, V9 == V13, V13 == V16, V16 == V18; #1129 ), references = 1, size of lhs = 8:
% 94.19/94.39 subgroup_member-{F}(V0), subgroup_member-{F}(V1), P_identity-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V3,V2,V0), P_multiply-{F}(V2,V3,V1), P_a-{F}(V4), P_multiply-{F}(V2,V4,V4) | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #1180: exists( #19, #1174 ), references = 1, size of lhs = 6:
% 94.19/94.39 subgroup_member-{F}(V0), subgroup_member-{F}(V1), P_identity-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V2,V3,V1), P_multiply-{F}(V3,V2,V0) | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #1194: mergings( V1 == V2; #1190 ), references = 1, size of lhs = 1:
% 94.19/94.39 P_identity-{F}(V0) | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 #1198: exists( #15, #1190 ), references = 1, size of lhs = 0:
% 94.19/94.39 FALSE | FALSE
% 94.19/94.39 (used 0 times, uses = {})
% 94.19/94.39
% 94.19/94.39 number of learnt formulas = 89
% 94.19/94.39
% 94.19/94.39
% 94.19/94.39 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 94.19/94.39
% 94.19/94.39 randbase = 1
%------------------------------------------------------------------------------