TSTP Solution File: GRP211-1 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP211-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n014.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 06:03:32 EDT 2022
% Result : Unsatisfiable 18.68s 18.86s
% Output : Refutation 18.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP211-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n014.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 14:28:12 EDT 2022
% 0.12/0.33 % CPUTime :
% 18.68/18.86 GeoParameters:
% 18.68/18.86
% 18.68/18.86 tptp_input = 1
% 18.68/18.86 tptp_output = 0
% 18.68/18.86 nonempty = 1
% 18.68/18.86 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.68/18.86 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 18.68/18.86
% 18.68/18.86
% 18.68/18.86 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.68/18.86 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.68/18.86
% 18.68/18.86 RuleSystem INPUT:
% 18.68/18.86
% 18.68/18.86 Initial Rules:
% 18.68/18.86 #0: input, references = 4, size of lhs = 3:
% 18.68/18.86 P_identity-{F}(V0), P_multiply-{F}(V0,V1,V2), V2 == V1 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1: input, references = 15, size of lhs = 4:
% 18.68/18.86 P_identity-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V3), V3 == V0 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #2: input, references = 15, size of lhs = 6:
% 18.68/18.86 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
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #3: input, references = 6, size of lhs = 9:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), V3 == V4, V6 == V4 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #4: input, references = 6, size of lhs = 11:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), V3 == V4, V8 == V4 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #5: input, references = 7, size of lhs = 13:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), P_sk_c6-{F}(V9), P_multiply-{F}(V4,V9,V10), V3 == V4, V10 == V7 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #6: input, references = 5, size of lhs = 15:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), P_sk_c6-{F}(V9), P_multiply-{F}(V4,V9,V10), P_sk_c5-{F}(V11), P_multiply-{F}(V11,V4,V12), V3 == V4, V12 == V9 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #7: input, references = 4, size of lhs = 16:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), P_sk_c6-{F}(V9), P_multiply-{F}(V4,V9,V10), P_sk_c5-{F}(V11), P_multiply-{F}(V11,V4,V12), P_inverse-{F}(V11,V13), V3 == V4, V13 == V4 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #8: input, references = 6, size of lhs = 17:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), P_sk_c6-{F}(V9), P_multiply-{F}(V4,V9,V10), P_sk_c5-{F}(V11), P_multiply-{F}(V11,V4,V12), P_inverse-{F}(V11,V13), P_inverse-{F}(V1,V14), V14 == V2, V6 == V4 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #9: input, references = 4, size of lhs = 17:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), P_sk_c6-{F}(V9), P_multiply-{F}(V4,V9,V10), P_sk_c5-{F}(V11), P_multiply-{F}(V11,V4,V12), P_inverse-{F}(V11,V13), P_inverse-{F}(V1,V14), V14 == V2, V8 == V4 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #10: input, references = 5, size of lhs = 17:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), P_sk_c6-{F}(V9), P_multiply-{F}(V4,V9,V10), P_sk_c5-{F}(V11), P_multiply-{F}(V11,V4,V12), P_inverse-{F}(V11,V13), P_inverse-{F}(V1,V14), V14 == V2, V10 == V7 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #11: input, references = 4, size of lhs = 17:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), P_sk_c6-{F}(V9), P_multiply-{F}(V4,V9,V10), P_sk_c5-{F}(V11), P_multiply-{F}(V11,V4,V12), P_inverse-{F}(V11,V13), P_inverse-{F}(V1,V14), V14 == V2, V12 == V9 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #12: input, references = 5, size of lhs = 17:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), P_sk_c6-{F}(V9), P_multiply-{F}(V4,V9,V10), P_sk_c5-{F}(V11), P_multiply-{F}(V11,V4,V12), P_inverse-{F}(V11,V13), P_inverse-{F}(V1,V14), V14 == V2, V13 == V4 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #13: input, references = 4, size of lhs = 18:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), P_sk_c6-{F}(V9), P_multiply-{F}(V4,V9,V10), P_sk_c5-{F}(V11), P_multiply-{F}(V11,V4,V12), P_inverse-{F}(V11,V13), P_inverse-{F}(V1,V14), P_multiply-{F}(V2,V7,V15), V15 == V4, V6 == V4 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #14: input, references = 4, size of lhs = 18:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), P_sk_c6-{F}(V9), P_multiply-{F}(V4,V9,V10), P_sk_c5-{F}(V11), P_multiply-{F}(V11,V4,V12), P_inverse-{F}(V11,V13), P_inverse-{F}(V1,V14), P_multiply-{F}(V2,V7,V15), V15 == V4, V8 == V4 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #15: input, references = 4, size of lhs = 18:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), P_sk_c6-{F}(V9), P_multiply-{F}(V4,V9,V10), P_sk_c5-{F}(V11), P_multiply-{F}(V11,V4,V12), P_inverse-{F}(V11,V13), P_inverse-{F}(V1,V14), P_multiply-{F}(V2,V7,V15), V15 == V4, V10 == V7 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #16: input, references = 4, size of lhs = 18:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), P_sk_c6-{F}(V9), P_multiply-{F}(V4,V9,V10), P_sk_c5-{F}(V11), P_multiply-{F}(V11,V4,V12), P_inverse-{F}(V11,V13), P_inverse-{F}(V1,V14), P_multiply-{F}(V2,V7,V15), V15 == V4, V12 == V9 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #17: input, references = 3, size of lhs = 18:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), P_sk_c6-{F}(V9), P_multiply-{F}(V4,V9,V10), P_sk_c5-{F}(V11), P_multiply-{F}(V11,V4,V12), P_inverse-{F}(V11,V13), P_inverse-{F}(V1,V14), P_multiply-{F}(V2,V7,V15), V15 == V4, V13 == V4 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #18: input, references = 6, size of lhs = 20:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), P_sk_c6-{F}(V9), P_multiply-{F}(V4,V9,V10), P_sk_c5-{F}(V11), P_multiply-{F}(V11,V4,V12), P_inverse-{F}(V11,V13), P_inverse-{F}(V1,V14), P_multiply-{F}(V2,V7,V15), P_sk_c3-{F}(V16), P_inverse-{F}(V16,V17), V17 == V4, V6 == V4 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #19: input, references = 6, size of lhs = 20:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), P_sk_c6-{F}(V9), P_multiply-{F}(V4,V9,V10), P_sk_c5-{F}(V11), P_multiply-{F}(V11,V4,V12), P_inverse-{F}(V11,V13), P_inverse-{F}(V1,V14), P_multiply-{F}(V2,V7,V15), P_sk_c3-{F}(V16), P_inverse-{F}(V16,V17), V17 == V4, V8 == V4 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #20: input, references = 5, size of lhs = 20:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), P_sk_c6-{F}(V9), P_multiply-{F}(V4,V9,V10), P_sk_c5-{F}(V11), P_multiply-{F}(V11,V4,V12), P_inverse-{F}(V11,V13), P_inverse-{F}(V1,V14), P_multiply-{F}(V2,V7,V15), P_sk_c3-{F}(V16), P_inverse-{F}(V16,V17), V17 == V4, V10 == V7 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #21: input, references = 6, size of lhs = 20:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), P_sk_c6-{F}(V9), P_multiply-{F}(V4,V9,V10), P_sk_c5-{F}(V11), P_multiply-{F}(V11,V4,V12), P_inverse-{F}(V11,V13), P_inverse-{F}(V1,V14), P_multiply-{F}(V2,V7,V15), P_sk_c3-{F}(V16), P_inverse-{F}(V16,V17), V17 == V4, V12 == V9 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #22: input, references = 4, size of lhs = 20:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), P_sk_c6-{F}(V9), P_multiply-{F}(V4,V9,V10), P_sk_c5-{F}(V11), P_multiply-{F}(V11,V4,V12), P_inverse-{F}(V11,V13), P_inverse-{F}(V1,V14), P_multiply-{F}(V2,V7,V15), P_sk_c3-{F}(V16), P_inverse-{F}(V16,V17), V17 == V4, V13 == V4 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #23: input, references = 7, size of lhs = 21:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), P_sk_c6-{F}(V9), P_multiply-{F}(V4,V9,V10), P_sk_c5-{F}(V11), P_multiply-{F}(V11,V4,V12), P_inverse-{F}(V11,V13), P_inverse-{F}(V1,V14), P_multiply-{F}(V2,V7,V15), P_sk_c3-{F}(V16), P_inverse-{F}(V16,V17), P_multiply-{F}(V16,V7,V18), V18 == V4, V6 == V4 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #24: input, references = 5, size of lhs = 21:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), P_sk_c6-{F}(V9), P_multiply-{F}(V4,V9,V10), P_sk_c5-{F}(V11), P_multiply-{F}(V11,V4,V12), P_inverse-{F}(V11,V13), P_inverse-{F}(V1,V14), P_multiply-{F}(V2,V7,V15), P_sk_c3-{F}(V16), P_inverse-{F}(V16,V17), P_multiply-{F}(V16,V7,V18), V18 == V4, V8 == V4 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #25: input, references = 5, size of lhs = 21:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), P_sk_c6-{F}(V9), P_multiply-{F}(V4,V9,V10), P_sk_c5-{F}(V11), P_multiply-{F}(V11,V4,V12), P_inverse-{F}(V11,V13), P_inverse-{F}(V1,V14), P_multiply-{F}(V2,V7,V15), P_sk_c3-{F}(V16), P_inverse-{F}(V16,V17), P_multiply-{F}(V16,V7,V18), V18 == V4, V10 == V7 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #26: input, references = 5, size of lhs = 21:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), P_sk_c6-{F}(V9), P_multiply-{F}(V4,V9,V10), P_sk_c5-{F}(V11), P_multiply-{F}(V11,V4,V12), P_inverse-{F}(V11,V13), P_inverse-{F}(V1,V14), P_multiply-{F}(V2,V7,V15), P_sk_c3-{F}(V16), P_inverse-{F}(V16,V17), P_multiply-{F}(V16,V7,V18), V18 == V4, V12 == V9 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #27: input, references = 4, size of lhs = 21:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), P_sk_c6-{F}(V9), P_multiply-{F}(V4,V9,V10), P_sk_c5-{F}(V11), P_multiply-{F}(V11,V4,V12), P_inverse-{F}(V11,V13), P_inverse-{F}(V1,V14), P_multiply-{F}(V2,V7,V15), P_sk_c3-{F}(V16), P_inverse-{F}(V16,V17), P_multiply-{F}(V16,V7,V18), V18 == V4, V13 == V4 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #28: input, references = 6, size of lhs = 29:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), P_sk_c6-{F}(V9), P_multiply-{F}(V4,V9,V10), P_sk_c5-{F}(V11), P_multiply-{F}(V11,V4,V12), P_inverse-{F}(V11,V13), P_inverse-{F}(V1,V14), P_multiply-{F}(V2,V7,V15), P_sk_c3-{F}(V16), P_inverse-{F}(V16,V17), P_multiply-{F}(V16,V7,V18), P_multiply-{F}(V19,V7,V4), P_multiply-{F}(V21,V19,V4), P_inverse-{F}(V21,V19), P_inverse-{F}(V24,V4), P_multiply-{F}(V24,V7,V4), P_inverse-{F}(V27,V4), P_multiply-{F}(V27,V7,V4), P_inverse-{F}(V30,V4), P_multiply-{F}(V30,V4,V33), P_multiply-{F}(V4,V33,V7) | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #29: input, references = 44, size of lhs = 2:
% 18.68/18.86 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #30: input, references = 4, size of lhs = 0:
% 18.68/18.86 FALSE | EXISTS V0: P_identity-{T}(V0)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #31: input, references = 50, size of lhs = 1:
% 18.68/18.86 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #32: input, references = 4, size of lhs = 0:
% 18.68/18.86 FALSE | EXISTS V0: P_sk_c1-{T}(V0)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #33: input, references = 5, size of lhs = 0:
% 18.68/18.86 FALSE | EXISTS V0: P_sk_c2-{T}(V0)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #34: input, references = 6, size of lhs = 0:
% 18.68/18.86 FALSE | EXISTS V0: P_sk_c8-{T}(V0)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #35: input, references = 8, size of lhs = 0:
% 18.68/18.86 FALSE | EXISTS V0: P_sk_c4-{T}(V0)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #36: input, references = 12, size of lhs = 0:
% 18.68/18.86 FALSE | EXISTS V0: P_sk_c7-{T}(V0)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #37: input, references = 15, size of lhs = 0:
% 18.68/18.86 FALSE | EXISTS V0: P_sk_c6-{T}(V0)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #38: input, references = 14, size of lhs = 0:
% 18.68/18.86 FALSE | EXISTS V0: P_sk_c5-{T}(V0)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #39: input, references = 11, size of lhs = 0:
% 18.68/18.86 FALSE | EXISTS V0: P_sk_c3-{T}(V0)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 number of initial rules = 40
% 18.68/18.86
% 18.68/18.86 Simplifiers:
% 18.68/18.86 #40: unsound, references = 3, size of lhs = 3:
% 18.68/18.86 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #41: unsound, references = 3, size of lhs = 3:
% 18.68/18.86 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #42: unsound, references = 3, size of lhs = 3:
% 18.68/18.86 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #43: unsound, references = 3, size of lhs = 3:
% 18.68/18.86 P_sk_c1-{F}(V0), P_sk_c1-{F}(V1), V0 == V1 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #44: unsound, references = 3, size of lhs = 3:
% 18.68/18.86 P_sk_c2-{F}(V0), P_sk_c2-{F}(V1), V0 == V1 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #45: unsound, references = 3, size of lhs = 3:
% 18.68/18.86 P_sk_c8-{F}(V0), P_sk_c8-{F}(V1), V0 == V1 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #46: unsound, references = 3, size of lhs = 3:
% 18.68/18.86 P_sk_c4-{F}(V0), P_sk_c4-{F}(V1), V0 == V1 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #47: unsound, references = 3, size of lhs = 3:
% 18.68/18.86 P_sk_c7-{F}(V0), P_sk_c7-{F}(V1), V0 == V1 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #48: unsound, references = 3, size of lhs = 3:
% 18.68/18.86 P_sk_c6-{F}(V0), P_sk_c6-{F}(V1), V0 == V1 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #49: unsound, references = 3, size of lhs = 3:
% 18.68/18.86 P_sk_c5-{F}(V0), P_sk_c5-{F}(V1), V0 == V1 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #50: unsound, references = 3, size of lhs = 3:
% 18.68/18.86 P_sk_c3-{F}(V0), P_sk_c3-{F}(V1), V0 == V1 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 number of simplifiers = 11
% 18.68/18.86
% 18.68/18.86 Learnt:
% 18.68/18.86 #53: exists( #29, #0 ), references = 84, size of lhs = 2:
% 18.68/18.86 P_identity-{F}(V0), #-{F} V1 | P_multiply-{T}(V0,V1,V1)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #54: exists( #29, #2 ), references = 10, size of lhs = 4:
% 18.68/18.86 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)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #59: mergings( V10 == V11; #55 ), references = 2, size of lhs = 14:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c5-{F}(V1), P_sk_c2-{F}(V2), P_sk_c8-{F}(V2), P_sk_c4-{F}(V3), P_inverse-{F}(V3,V4), V4 == V2, P_sk_c7-{F}(V5), P_multiply-{F}(V3,V5,V6), P_sk_c6-{F}(V7), P_multiply-{F}(V2,V7,V8), P_inverse-{F}(V1,V9), V9 == V2 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #61: mergings( V10 == V11; #56 ), references = 1, size of lhs = 14:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c5-{F}(V1), P_sk_c2-{F}(V2), P_sk_c8-{F}(V2), P_sk_c4-{F}(V3), P_inverse-{F}(V3,V4), P_sk_c7-{F}(V5), P_multiply-{F}(V3,V5,V6), P_sk_c6-{F}(V7), P_multiply-{F}(V2,V7,V8), V8 == V5, P_inverse-{F}(V1,V9), V9 == V2 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #65: mergings( V9 == V10; #63 ), references = 1, size of lhs = 13:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c5-{F}(V1), P_sk_c2-{F}(V2), P_sk_c8-{F}(V2), P_sk_c4-{F}(V3), P_sk_c7-{F}(V4), P_multiply-{F}(V3,V4,V5), P_sk_c6-{F}(V6), P_multiply-{F}(V2,V6,V7), V7 == V4, P_inverse-{F}(V1,V8), V8 == V2 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #67: exists( #31, #63 ), references = 1, size of lhs = 11:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c5-{F}(V1), P_sk_c2-{F}(V2), P_sk_c8-{F}(V2), P_sk_c4-{F}(V3), P_sk_c7-{F}(V4), P_multiply-{F}(V3,V4,V5), P_sk_c6-{F}(V6), P_multiply-{F}(V2,V6,V7), V7 == V4 | P_inverse-{T}(V1,V2)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #70: exists( #29, #1 ), references = 47, size of lhs = 2:
% 18.68/18.86 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | P_multiply-{T}(V2,V1,V0)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #72: exists( #29, #2 ), references = 50, size of lhs = 4:
% 18.68/18.86 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)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #75: exists( #31, #5 ), references = 5, size of lhs = 12:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), V3 == V4, P_sk_c4-{F}(V5), P_sk_c7-{F}(V6), P_multiply-{F}(V5,V6,V7), P_sk_c6-{F}(V8), P_multiply-{F}(V4,V8,V9), V9 == V6 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #76: exists( #31, #3 ), references = 4, size of lhs = 7:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), V3 == V4, P_sk_c4-{F}(V5) | P_inverse-{T}(V5,V4)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #82: exists( #29, #75 ), references = 4, size of lhs = 10:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_sk_c8-{F}(V3), P_sk_c4-{F}(V4), P_sk_c7-{F}(V5), P_multiply-{F}(V4,V5,V6), P_sk_c6-{F}(V7), P_multiply-{F}(V3,V7,V8), V8 == V5 | P_multiply-{T}(V1,V2,V3)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #86: mergings( V2 == V3; #84 ), references = 6, size of lhs = 4:
% 18.68/18.86 P_identity-{F}(V0), P_multiply-{F}(V0,V1,V2), V2 == V0, P_multiply-{F}(V3,V1,V3) | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #96: mergings( V1 == V2, V2 == V8, V8 == V9; #92 ), references = 1, size of lhs = 11:
% 18.68/18.86 P_sk_c8-{F}(V0), P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_sk_c4-{F}(V3), P_sk_c7-{F}(V4), P_multiply-{F}(V3,V4,V5), P_multiply-{F}(V0,V6,V1), P_multiply-{F}(V2,V6,V7), P_multiply-{F}(V0,V7,V8), V8 == V0 | P_sk_c6-{T}(V4)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #104: mergings( V13 == V15; #102 ), references = 1, size of lhs = 26:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c3-{F}(V1), P_sk_c2-{F}(V2), P_sk_c7-{F}(V2), P_sk_c8-{F}(V3), P_sk_c4-{F}(V4), P_inverse-{F}(V4,V5), P_multiply-{F}(V4,V2,V6), P_sk_c6-{F}(V7), P_multiply-{F}(V3,V7,V8), P_sk_c5-{F}(V9), P_multiply-{F}(V9,V3,V10), P_inverse-{F}(V9,V11), P_multiply-{F}(V2,V2,V12), P_inverse-{F}(V1,V13), P_inverse-{F}(V14,V3), P_multiply-{F}(V14,V2,V3), P_inverse-{F}(V15,V3), P_multiply-{F}(V15,V2,V3), P_inverse-{F}(V16,V3), P_multiply-{F}(V16,V3,V17), P_multiply-{F}(V3,V17,V2), P_multiply-{F}(V18,V2,V3), P_multiply-{F}(V19,V18,V3), P_inverse-{F}(V19,V18) | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #115: mergings( V2 == V0; #113 ), references = 1, size of lhs = 1:
% 18.68/18.86 P_identity-{F}(V0) | P_inverse-{T}(V0,V0)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #121: mergings( V1 == V2; #118 ), references = 2, size of lhs = 9:
% 18.68/18.86 P_sk_c8-{F}(V0), P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), V3 == V0, P_sk_c4-{F}(V4), P_sk_c7-{F}(V5), P_multiply-{F}(V4,V5,V6) | P_sk_c6-{T}(V5)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #123: mergings( V1 == V2; #119 ), references = 1, size of lhs = 10:
% 18.68/18.86 P_sk_c8-{F}(V0), P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), V3 == V0, P_sk_c4-{F}(V4), P_inverse-{F}(V4,V5), P_sk_c7-{F}(V6), P_multiply-{F}(V4,V6,V7) | P_sk_c6-{T}(V6)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #145: exists( #29, #6 ), references = 3, size of lhs = 13:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), V3 == V4, P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), P_sk_c6-{F}(V9), P_multiply-{F}(V4,V9,V10), P_sk_c5-{F}(V11) | P_multiply-{T}(V11,V4,V9)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #154: mergings( V1 == V5, V5 == V11; #151 ), references = 2, size of lhs = 12:
% 18.68/18.86 P_sk_c1-{F}(V0), P_sk_c2-{F}(V1), P_multiply-{F}(V0,V1,V2), P_sk_c8-{F}(V3), V2 == V3, P_sk_c6-{F}(V3), P_identity-{F}(V3), P_sk_c4-{F}(V4), P_inverse-{F}(V4,V5), P_sk_c7-{F}(V6), P_multiply-{F}(V4,V6,V7), P_multiply-{F}(V3,V3,V8) | P_sk_c5-{T}(V3)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #165: exists( #29, #28 ), references = 1, size of lhs = 27:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_sk_c3-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), P_sk_c6-{F}(V9), P_multiply-{F}(V4,V9,V10), P_sk_c5-{F}(V11), P_multiply-{F}(V11,V4,V12), P_inverse-{F}(V11,V13), P_inverse-{F}(V1,V14), P_inverse-{F}(V2,V15), P_inverse-{F}(V16,V4), P_multiply-{F}(V16,V7,V4), P_inverse-{F}(V17,V4), P_multiply-{F}(V17,V7,V4), P_inverse-{F}(V18,V4), P_multiply-{F}(V18,V4,V19), P_multiply-{F}(V4,V19,V7), P_multiply-{F}(V20,V7,V4), P_multiply-{F}(V21,V20,V4), P_inverse-{F}(V21,V20) | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #167: exists( #31, #164 ), references = 1, size of lhs = 26:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_sk_c3-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), P_sk_c6-{F}(V9), P_multiply-{F}(V4,V9,V10), P_sk_c5-{F}(V11), P_multiply-{F}(V11,V4,V12), P_inverse-{F}(V11,V13), P_inverse-{F}(V1,V14), P_inverse-{F}(V15,V4), P_multiply-{F}(V15,V7,V4), P_inverse-{F}(V16,V4), P_multiply-{F}(V16,V7,V4), P_inverse-{F}(V17,V4), P_multiply-{F}(V17,V4,V18), P_multiply-{F}(V4,V18,V7), P_multiply-{F}(V19,V7,V4), P_multiply-{F}(V20,V19,V4), P_inverse-{F}(V20,V19) | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #186: exists( #29, #28 ), references = 1, size of lhs = 28:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), P_sk_c6-{F}(V9), P_multiply-{F}(V4,V9,V10), P_sk_c5-{F}(V11), P_multiply-{F}(V11,V4,V12), P_inverse-{F}(V11,V13), P_inverse-{F}(V1,V14), P_multiply-{F}(V2,V7,V15), P_sk_c3-{F}(V16), P_inverse-{F}(V16,V17), P_inverse-{F}(V18,V4), P_multiply-{F}(V18,V7,V4), P_inverse-{F}(V19,V4), P_multiply-{F}(V19,V7,V4), P_inverse-{F}(V20,V4), P_multiply-{F}(V20,V4,V21), P_multiply-{F}(V4,V21,V7), P_multiply-{F}(V22,V7,V4), P_multiply-{F}(V23,V22,V4), P_inverse-{F}(V23,V22) | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #188: exists( #31, #185 ), references = 2, size of lhs = 27:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), P_sk_c6-{F}(V9), P_multiply-{F}(V4,V9,V10), P_sk_c5-{F}(V11), P_multiply-{F}(V11,V4,V12), P_inverse-{F}(V11,V13), P_inverse-{F}(V1,V14), P_multiply-{F}(V2,V7,V15), P_sk_c3-{F}(V16), P_inverse-{F}(V17,V4), P_multiply-{F}(V17,V7,V4), P_inverse-{F}(V18,V4), P_multiply-{F}(V18,V7,V4), P_inverse-{F}(V19,V4), P_multiply-{F}(V19,V4,V20), P_multiply-{F}(V4,V20,V7), P_multiply-{F}(V21,V7,V4), P_multiply-{F}(V22,V21,V4), P_inverse-{F}(V22,V21) | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #196: exists( #29, #188 ), references = 1, size of lhs = 26:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), P_sk_c6-{F}(V9), P_multiply-{F}(V4,V9,V10), P_sk_c5-{F}(V11), P_multiply-{F}(V11,V4,V12), P_inverse-{F}(V11,V13), P_inverse-{F}(V1,V14), P_sk_c3-{F}(V15), P_inverse-{F}(V16,V4), P_multiply-{F}(V16,V7,V4), P_inverse-{F}(V17,V4), P_multiply-{F}(V17,V7,V4), P_inverse-{F}(V18,V4), P_multiply-{F}(V18,V4,V19), P_multiply-{F}(V4,V19,V7), P_multiply-{F}(V20,V7,V4), P_multiply-{F}(V21,V20,V4), P_inverse-{F}(V21,V20) | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #198: exists( #39, #195 ), references = 3, size of lhs = 25:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), P_sk_c6-{F}(V9), P_multiply-{F}(V4,V9,V10), P_sk_c5-{F}(V11), P_multiply-{F}(V11,V4,V12), P_inverse-{F}(V11,V13), P_inverse-{F}(V1,V14), P_inverse-{F}(V15,V4), P_multiply-{F}(V15,V7,V4), P_inverse-{F}(V16,V4), P_multiply-{F}(V16,V7,V4), P_inverse-{F}(V17,V4), P_multiply-{F}(V17,V4,V18), P_multiply-{F}(V4,V18,V7), P_multiply-{F}(V19,V7,V4), P_multiply-{F}(V20,V19,V4), P_inverse-{F}(V20,V19) | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #204: mergings( V1 == V2; #202 ), references = 2, size of lhs = 8:
% 18.68/18.86 P_sk_c4-{F}(V0), P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), V3 == V4, P_inverse-{F}(V0,V5) | P_sk_c7-{T}(V4)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #213: mergings( V1 == V2, V2 == V6; #210 ), references = 2, size of lhs = 6:
% 18.68/18.86 P_sk_c8-{F}(V0), P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), V3 == V0 | P_sk_c4-{T}(V0)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #219: exists( #29, #4 ), references = 3, size of lhs = 9:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), V3 == V4, P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), P_sk_c7-{F}(V7) | P_multiply-{T}(V5,V7,V4)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #228: mergings( V1 == V12, V12 == V13, V13 == V14; #224 ), references = 3, size of lhs = 14:
% 18.68/18.86 P_sk_c1-{F}(V0), P_sk_c2-{F}(V1), P_multiply-{F}(V0,V1,V2), P_sk_c8-{F}(V3), V2 == V3, P_sk_c4-{F}(V4), P_inverse-{F}(V4,V5), P_sk_c7-{F}(V6), P_multiply-{F}(V4,V6,V7), P_sk_c6-{F}(V8), P_multiply-{F}(V3,V8,V9), P_identity-{F}(V10), P_multiply-{F}(V3,V11,V10), P_multiply-{F}(V8,V11,V10) | P_sk_c5-{T}(V10)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #244: exists( #29, #6 ), references = 1, size of lhs = 14:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), V3 == V4, P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), P_sk_c6-{F}(V9), P_sk_c5-{F}(V10), P_multiply-{F}(V10,V4,V11), V11 == V9 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #262: mergings( V2 == V3, V3 == V4, V4 == V5; #256 ), references = 16, size of lhs = 8:
% 18.68/18.86 P_identity-{F}(V0), P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V3,V2,V4), P_multiply-{F}(V3,V0,V5), P_multiply-{F}(V4,V6,V7), V7 == V5, P_multiply-{F}(V8,V1,V9), P_multiply-{F}(V9,V6,V8) | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #266: mergings( V2 == V3, V3 == V4, V4 == V5; #257 ), references = 1, size of lhs = 14:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), V3 == V4, P_sk_c4-{F}(V5), P_sk_c7-{F}(V6), V0 == V6, P_multiply-{F}(V5,V6,V7), P_sk_c6-{F}(V8), P_multiply-{F}(V0,V9,V4), P_multiply-{F}(V10,V9,V11), P_multiply-{F}(V11,V8,V10) | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #270: mergings( V2 == V3, V3 == V4, V4 == V5; #258 ), references = 1, size of lhs = 15:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), V3 == V4, P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), P_sk_c7-{F}(V7), V0 == V7, P_multiply-{F}(V5,V7,V8), P_sk_c6-{F}(V9), P_multiply-{F}(V0,V10,V4), P_multiply-{F}(V11,V10,V12), P_multiply-{F}(V12,V9,V11) | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #277: exists( #29, #75 ), references = 1, size of lhs = 10:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), V3 == V4, P_sk_c4-{F}(V5), P_sk_c7-{F}(V6), P_multiply-{F}(V5,V6,V7), P_sk_c6-{F}(V8) | P_multiply-{T}(V4,V8,V6)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #278: exists( #29, #5 ), references = 1, size of lhs = 11:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), V3 == V4, P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), P_sk_c6-{F}(V9) | P_multiply-{T}(V4,V9,V7)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #287: mergings( V1 == V2, V2 == V10; #283 ), references = 3, size of lhs = 11:
% 18.68/18.86 P_sk_c1-{F}(V0), P_sk_c2-{F}(V1), P_multiply-{F}(V0,V1,V2), P_sk_c8-{F}(V3), V2 == V3, P_sk_c4-{F}(V4), P_sk_c7-{F}(V5), P_multiply-{F}(V4,V5,V6), P_identity-{F}(V7), P_multiply-{F}(V8,V3,V7), P_multiply-{F}(V8,V5,V9) | P_sk_c6-{T}(V9)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #290: mergings( V1 == V2, V2 == V10; #284 ), references = 1, size of lhs = 13:
% 18.68/18.86 P_sk_c1-{F}(V0), P_sk_c2-{F}(V1), P_multiply-{F}(V0,V1,V2), P_sk_c8-{F}(V3), V2 == V3, P_sk_c4-{F}(V4), P_sk_c7-{F}(V5), P_multiply-{F}(V4,V5,V6), P_identity-{F}(V7), P_multiply-{F}(V5,V8,V3), P_multiply-{F}(V7,V8,V9), P_multiply-{F}(V10,V9,V7), P_multiply-{F}(V10,V7,V11) | P_sk_c6-{T}(V11)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #330: exists( #29, #262 ), references = 42, size of lhs = 6:
% 18.68/18.86 P_identity-{F}(V0), P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V3,V2,V4), P_multiply-{F}(V3,V0,V5), P_multiply-{F}(V6,V1,V7), P_multiply-{F}(V7,V8,V6) | P_multiply-{T}(V4,V8,V5)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #369: mergings( V1 == V2, V2 == V7, V7 == V12, V12 == V16, V16 == V18, V24 == V25, V25 == V26, V3 == V8, V8 == V13, V13 == V19, V4 == V9, V5 == V10, V9 == V14, V10 == V15, V14 == V20, V15 == V21, V6 == V11, V11 == V22; #349 ), references = 3, size of lhs = 14:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), V3 == V4, P_multiply-{F}(V4,V5,V0), P_sk_c4-{F}(V6), P_multiply-{F}(V6,V4,V0), P_multiply-{F}(V4,V6,V0), P_inverse-{F}(V6,V7), P_multiply-{F}(V0,V4,V8), P_inverse-{F}(V0,V9), V9 == V4 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #388: mergings( V1 == V2, V2 == V7, V7 == V12, V12 == V16, V16 == V18, V24 == V25, V25 == V26, V3 == V8, V8 == V13, V13 == V19, V4 == V9, V5 == V10, V9 == V14, V10 == V15, V14 == V20, V15 == V21, V6 == V11, V11 == V22; #350 ), references = 2, size of lhs = 16:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), V3 == V4, P_multiply-{F}(V4,V5,V0), P_sk_c4-{F}(V6), P_multiply-{F}(V6,V4,V0), P_multiply-{F}(V4,V6,V0), P_inverse-{F}(V6,V7), P_multiply-{F}(V0,V4,V8), P_inverse-{F}(V0,V9), V9 == V4, P_inverse-{F}(V1,V10), V10 == V2 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #411: mergings( V10 == V11, V1 == V5, V5 == V6, V2 == V7, V3 == V8, V4 == V9; #403 ), references = 4, size of lhs = 10:
% 18.68/18.86 P_identity-{F}(V0), P_multiply-{F}(V0,V0,V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), V3 == V4, P_multiply-{F}(V0,V4,V4), P_inverse-{F}(V0,V5), V5 == V4 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #418: mergings( V10 == V11, V1 == V5, V5 == V6, V2 == V7, V3 == V8, V4 == V9; #404 ), references = 1, size of lhs = 12:
% 18.68/18.86 P_identity-{F}(V0), P_multiply-{F}(V0,V0,V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), V3 == V4, P_multiply-{F}(V0,V4,V4), P_inverse-{F}(V0,V5), V5 == V4, P_inverse-{F}(V1,V6), V6 == V2 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #428: mergings( V1 == V5, V5 == V6, V2 == V7, V3 == V8, V4 == V9; #421 ), references = 1, size of lhs = 6:
% 18.68/18.86 P_identity-{F}(V0), P_multiply-{F}(V0,V0,V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_inverse-{F}(V0,V4) | P_sk_c8-{T}(V3), P_sk_c8-{T}(V4)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #434: mergings( V1 == V5, V5 == V6, V2 == V7, V3 == V8, V4 == V9; #422 ), references = 1, size of lhs = 8:
% 18.68/18.86 P_identity-{F}(V0), P_multiply-{F}(V0,V0,V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_inverse-{F}(V0,V4), P_inverse-{F}(V1,V5), V5 == V2 | P_sk_c8-{T}(V3), P_sk_c8-{T}(V4)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #438: exists( #29, #59 ), references = 1, size of lhs = 13:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c5-{F}(V1), P_sk_c2-{F}(V2), P_sk_c8-{F}(V2), P_sk_c4-{F}(V3), P_inverse-{F}(V3,V4), V4 == V2, P_sk_c7-{F}(V5), P_multiply-{F}(V3,V5,V6), P_sk_c6-{F}(V7), P_inverse-{F}(V1,V8), V8 == V2 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #439: exists( #29, #8 ), references = 2, size of lhs = 16:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), V6 == V4, P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), P_sk_c6-{F}(V9), P_sk_c5-{F}(V10), P_multiply-{F}(V10,V4,V11), P_inverse-{F}(V10,V12), P_inverse-{F}(V1,V13), V13 == V2 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #440: exists( #29, #9 ), references = 2, size of lhs = 16:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), V8 == V4, P_sk_c6-{F}(V9), P_sk_c5-{F}(V10), P_multiply-{F}(V10,V4,V11), P_inverse-{F}(V10,V12), P_inverse-{F}(V1,V13), V13 == V2 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #446: exists( #29, #439 ), references = 1, size of lhs = 15:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), V6 == V4, P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), P_sk_c6-{F}(V9), P_sk_c5-{F}(V10), P_inverse-{F}(V10,V11), P_inverse-{F}(V1,V12), V12 == V2 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #447: exists( #29, #440 ), references = 1, size of lhs = 15:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), V8 == V4, P_sk_c6-{F}(V9), P_sk_c5-{F}(V10), P_inverse-{F}(V10,V11), P_inverse-{F}(V1,V12), V12 == V2 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #448: exists( #29, #8 ), references = 1, size of lhs = 16:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), V6 == V4, P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), P_sk_c6-{F}(V9), P_multiply-{F}(V4,V9,V10), P_sk_c5-{F}(V11), P_inverse-{F}(V11,V12), P_inverse-{F}(V1,V13), V13 == V2 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #452: exists( #31, #443 ), references = 1, size of lhs = 14:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), V6 == V4, P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), P_sk_c6-{F}(V9), P_sk_c5-{F}(V10), P_inverse-{F}(V1,V11), V11 == V2 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #453: exists( #31, #444 ), references = 1, size of lhs = 14:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), V8 == V4, P_sk_c6-{F}(V9), P_sk_c5-{F}(V10), P_inverse-{F}(V1,V11), V11 == V2 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #456: exists( #38, #449 ), references = 3, size of lhs = 13:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), V6 == V4, P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), P_sk_c6-{F}(V9), P_inverse-{F}(V1,V10), V10 == V2 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #457: exists( #38, #450 ), references = 1, size of lhs = 13:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), V8 == V4, P_sk_c6-{F}(V9), P_inverse-{F}(V1,V10), V10 == V2 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #460: exists( #37, #454 ), references = 4, size of lhs = 12:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), V6 == V4, P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), P_inverse-{F}(V1,V9), V9 == V2 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #461: exists( #37, #455 ), references = 2, size of lhs = 12:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), V8 == V4, P_inverse-{F}(V1,V9), V9 == V2 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #467: mergings( V1 == V2; #464 ), references = 1, size of lhs = 10:
% 18.68/18.86 P_sk_c4-{F}(V0), P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_inverse-{F}(V0,V5), V5 == V4, P_inverse-{F}(V1,V6), V6 == V2 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #470: exists( #31, #460 ), references = 1, size of lhs = 10:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_sk_c7-{F}(V6), P_multiply-{F}(V5,V6,V7), P_inverse-{F}(V1,V8), V8 == V2 | P_inverse-{T}(V5,V4)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #471: exists( #31, #456 ), references = 1, size of lhs = 11:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_sk_c7-{F}(V6), P_multiply-{F}(V5,V6,V7), P_sk_c6-{F}(V8), P_inverse-{F}(V1,V9), V9 == V2 | P_inverse-{T}(V5,V4)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #479: exists( #29, #10 ), references = 1, size of lhs = 16:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), P_sk_c7-{F}(V7), P_sk_c6-{F}(V8), P_multiply-{F}(V4,V8,V9), V9 == V7, P_sk_c5-{F}(V10), P_multiply-{F}(V10,V4,V11), P_inverse-{F}(V10,V12), P_inverse-{F}(V1,V13), V13 == V2 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #481: exists( #31, #478 ), references = 1, size of lhs = 15:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_sk_c7-{F}(V6), P_sk_c6-{F}(V7), P_multiply-{F}(V4,V7,V8), V8 == V6, P_sk_c5-{F}(V9), P_multiply-{F}(V9,V4,V10), P_inverse-{F}(V9,V11), P_inverse-{F}(V1,V12), V12 == V2 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #483: exists( #29, #480 ), references = 3, size of lhs = 14:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_sk_c7-{F}(V6), P_sk_c6-{F}(V7), P_multiply-{F}(V4,V7,V8), V8 == V6, P_sk_c5-{F}(V9), P_inverse-{F}(V9,V10), P_inverse-{F}(V1,V11), V11 == V2 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #495: mergings( V2 == V3, V3 == V4, V4 == V5; #491 ), references = 1, size of lhs = 16:
% 18.68/18.86 P_sk_c6-{F}(V0), P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_sk_c7-{F}(V6), P_sk_c5-{F}(V7), P_inverse-{F}(V1,V8), V8 == V2, P_multiply-{F}(V0,V7,V9), P_multiply-{F}(V10,V9,V4), P_multiply-{F}(V10,V0,V11), P_multiply-{F}(V11,V7,V12), V12 == V6 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #497: exists( #31, #483 ), references = 4, size of lhs = 13:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_sk_c7-{F}(V6), P_sk_c6-{F}(V7), P_multiply-{F}(V4,V7,V8), V8 == V6, P_sk_c5-{F}(V9), P_inverse-{F}(V1,V10), V10 == V2 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #508: mergings( V2 == V3, V3 == V4, V4 == V5; #504 ), references = 1, size of lhs = 16:
% 18.68/18.86 P_sk_c6-{F}(V0), P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_sk_c7-{F}(V6), P_sk_c5-{F}(V7), P_inverse-{F}(V1,V8), V8 == V2, P_multiply-{F}(V0,V9,V10), P_multiply-{F}(V11,V10,V4), P_multiply-{F}(V11,V0,V12), P_multiply-{F}(V12,V9,V13), V13 == V6 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #513: mergings( V1 == V2, V2 == V3, V3 == V4; #509 ), references = 2, size of lhs = 15:
% 18.68/18.86 P_sk_c6-{F}(V0), P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_sk_c7-{F}(V6), P_inverse-{F}(V1,V7), V7 == V2, P_multiply-{F}(V0,V8,V9), P_multiply-{F}(V10,V9,V4), P_multiply-{F}(V10,V0,V11), P_multiply-{F}(V11,V8,V12), V12 == V6 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #529: exists( #29, #460 ), references = 2, size of lhs = 11:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), V6 == V4, P_sk_c7-{F}(V7), P_inverse-{F}(V1,V8), V8 == V2 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #530: exists( #29, #456 ), references = 2, size of lhs = 12:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), V6 == V4, P_sk_c7-{F}(V7), P_sk_c6-{F}(V8), P_inverse-{F}(V1,V9), V9 == V2 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #533: exists( #31, #526 ), references = 2, size of lhs = 9:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_sk_c7-{F}(V6), P_inverse-{F}(V1,V7), V7 == V2 | P_inverse-{T}(V5,V4)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #535: exists( #38, #497 ), references = 3, size of lhs = 12:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_sk_c7-{F}(V6), P_sk_c6-{F}(V7), P_multiply-{F}(V4,V7,V8), V8 == V6, P_inverse-{F}(V1,V9), V9 == V2 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #542: exists( #29, #461 ), references = 2, size of lhs = 10:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), P_sk_c7-{F}(V7), P_inverse-{F}(V1,V8), V8 == V2 | P_multiply-{T}(V5,V7,V4)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #548: exists( #29, #11 ), references = 2, size of lhs = 15:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), P_sk_c6-{F}(V9), P_multiply-{F}(V4,V9,V10), P_sk_c5-{F}(V11), P_inverse-{F}(V11,V12), P_inverse-{F}(V1,V13), V13 == V2 | P_multiply-{T}(V11,V4,V9)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #568: mergings( V2 == V12, V3 == V13, V11 == V24, V4 == V14, V5 == V15, V6 == V18, V7 == V19, V8 == V20, V9 == V21, V10 == V22, V17 == V23; #556 ), references = 1, size of lhs = 14:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), P_sk_c6-{F}(V9), P_multiply-{F}(V4,V9,V10), P_sk_c5-{F}(V11), P_inverse-{F}(V1,V12), V12 == V2 | P_inverse-{T}(V11,V4)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #603: mergings( V1 == V11, V11 == V24, V24 == V25, V25 == V37, V2 == V12, V10 == V23, V12 == V26, V23 == V36, V3 == V13, V4 == V14, V13 == V27, V14 == V28, V15 == V29, V5 == V17, V6 == V18, V17 == V30, V18 == V31, V7 == V19, V8 == V20, V19 == V32, V20 == V33, V9 == V21, V16 == V22, V21 == V34, V22 == V35; #577 ), references = 2, size of lhs = 16:
% 18.68/18.86 P_sk_c1-{F}(V0), P_sk_c2-{F}(V1), P_multiply-{F}(V0,V1,V2), P_sk_c8-{F}(V3), P_sk_c4-{F}(V4), P_inverse-{F}(V4,V5), P_sk_c7-{F}(V6), P_multiply-{F}(V4,V6,V7), P_sk_c6-{F}(V8), P_multiply-{F}(V3,V8,V9), P_inverse-{F}(V0,V10), V10 == V1, P_identity-{F}(V11), P_multiply-{F}(V11,V3,V3), P_multiply-{F}(V11,V11,V12), V8 == V12 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #609: mergings( V2 == V3; #607 ), references = 10, size of lhs = 4:
% 18.68/18.86 P_identity-{F}(V0), P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V3,V2,V0), P_multiply-{F}(V3,V0,V4) | P_inverse-{T}(V1,V4)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #613: exists( #29, #603 ), references = 1, size of lhs = 15:
% 18.68/18.86 P_sk_c1-{F}(V0), P_sk_c2-{F}(V1), P_multiply-{F}(V0,V1,V2), P_sk_c8-{F}(V3), P_sk_c4-{F}(V4), P_inverse-{F}(V4,V5), P_sk_c7-{F}(V6), P_multiply-{F}(V4,V6,V7), P_sk_c6-{F}(V8), P_inverse-{F}(V0,V9), V9 == V1, P_identity-{F}(V10), P_multiply-{F}(V10,V3,V3), P_multiply-{F}(V10,V10,V11), V8 == V11 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #615: exists( #37, #612 ), references = 1, size of lhs = 13:
% 18.68/18.86 P_sk_c1-{F}(V0), P_sk_c2-{F}(V1), P_multiply-{F}(V0,V1,V2), P_sk_c8-{F}(V3), P_sk_c4-{F}(V4), P_inverse-{F}(V4,V5), P_sk_c7-{F}(V6), P_multiply-{F}(V4,V6,V7), P_inverse-{F}(V0,V8), V8 == V1, P_identity-{F}(V9), P_multiply-{F}(V9,V3,V3), P_multiply-{F}(V9,V9,V10) | P_sk_c6-{T}(V10)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #652: mergings( V28 == V32, V1 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V21, V21 == V24, V2 == V10, V5 == V14, V10 == V15, V14 == V20, V15 == V25, V20 == V30, V3 == V11, V4 == V12, V11 == V16, V12 == V17, V16 == V26, V17 == V27, V13 == V18, V18 == V32, V19 == V29; #628 ), references = 1, size of lhs = 14:
% 18.68/18.86 P_identity-{F}(V0), P_multiply-{F}(V0,V0,V1), P_multiply-{F}(V2,V0,V1), P_sk_c1-{F}(V3), P_sk_c2-{F}(V4), P_multiply-{F}(V3,V4,V5), P_sk_c8-{F}(V6), P_multiply-{F}(V0,V6,V6), P_sk_c4-{F}(V7), P_inverse-{F}(V3,V8), V8 == V4, P_multiply-{F}(V0,V9,V6), P_multiply-{F}(V0,V7,V10), P_multiply-{F}(V2,V10,V7) | P_sk_c7-{T}(V6)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #674: mergings( V1 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V21, V21 == V22, V2 == V10, V5 == V14, V10 == V15, V14 == V20, V15 == V24, V20 == V29, V3 == V11, V4 == V12, V11 == V16, V12 == V17, V16 == V25, V17 == V26, V13 == V18, V18 == V27, V19 == V28; #629 ), references = 1, size of lhs = 14:
% 18.68/18.86 P_identity-{F}(V0), P_multiply-{F}(V0,V0,V0), P_multiply-{F}(V1,V0,V0), P_sk_c1-{F}(V2), P_sk_c2-{F}(V3), P_multiply-{F}(V2,V3,V4), P_sk_c8-{F}(V5), P_multiply-{F}(V0,V5,V5), P_sk_c4-{F}(V6), P_inverse-{F}(V2,V7), V7 == V3, P_multiply-{F}(V0,V8,V5), P_multiply-{F}(V0,V6,V9), P_multiply-{F}(V1,V9,V6) | P_sk_c7-{T}(V5)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #716: mergings( V25 == V28, V20 == V43, V1 == V6, V6 == V7, V7 == V8, V8 == V19, V19 == V21, V21 == V29, V29 == V35, V35 == V36, V36 == V42, V2 == V9, V5 == V13, V9 == V14, V13 == V18, V14 == V22, V18 == V26, V22 == V30, V26 == V34, V30 == V37, V34 == V41, V3 == V10, V4 == V11, V10 == V15, V11 == V16, V15 == V23, V16 == V24, V23 == V31, V24 == V32, V31 == V38, V32 == V39, V12 == V17, V17 == V28, V28 == V33, V33 == V40; #680 ), references = 3, size of lhs = 11:
% 18.68/18.86 P_sk_c1-{F}(V0), P_sk_c2-{F}(V1), P_multiply-{F}(V0,V1,V2), P_sk_c8-{F}(V3), P_inverse-{F}(V0,V4), V4 == V1, P_identity-{F}(V5), P_multiply-{F}(V5,V3,V3), P_multiply-{F}(V5,V6,V3), P_multiply-{F}(V5,V5,V7), V3 == V7 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #796: mergings( V3 == V34, V27 == V47, V8 == V72, V65 == V85, V0 == V4, V4 == V5, V5 == V10, V10 == V15, V15 == V16, V16 == V17, V17 == V26, V26 == V47, V47 == V28, V28 == V35, V35 == V40, V40 == V41, V41 == V46, V46 == V48, V48 == V53, V53 == V54, V54 == V55, V55 == V64, V64 == V85, V85 == V66, V66 == V73, V73 == V78, V78 == V79, V79 == V84, V1 == V6, V6 == V11, V11 == V18, V14 == V21, V18 == V22, V21 == V25, V22 == V29, V25 == V32, V29 == V36, V32 == V39, V36 == V42, V39 == V45, V42 == V49, V45 == V52, V49 == V56, V52 == V59, V56 == V60, V59 == V63, V60 == V67, V63 == V70, V67 == V74, V70 == V77, V74 == V80, V77 == V83, V2 == V7, V34 == V72, V7 == V12, V72 == V13, V12 == V19, V13 == V20, V19 == V23, V20 == V24, V23 == V30, V24 == V31, V30 == V37, V31 == V38, V37 == V43, V38 == V44, V43 == V50, V44 == V51, V50 == V57, V51 == V58, V57 == V61, V58 == V62, V61 == V68, V62 == V69, V68 == V75, V69 == V76, V75 == V81, V76 == V82; #717 ), references = 2, size of lhs = 12:
% 18.68/18.86 P_sk_c1-{F}(V0), P_sk_c2-{F}(V1), P_multiply-{F}(V0,V1,V2), P_inverse-{F}(V0,V3), V3 == V1, P_identity-{F}(V4), V2 == V4, P_multiply-{F}(V4,V2,V2), P_multiply-{F}(V4,V4,V4), P_inverse-{F}(V4,V5), P_multiply-{F}(V4,V6,V2), P_multiply-{F}(V4,V7,V2) | P_sk_c8-{T}(V5)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #823: mergings( V5 == V7, V7 == V8, V8 == V11, V11 == V12, V12 == V13, V1 == V3, V3 == V13, V13 == V9, V2 == V9, V9 == V4, V4 == V6, V6 == V10, V10 == V14, V14 == V15; #808 ), references = 2, size of lhs = 14:
% 18.68/18.86 P_sk_c1-{F}(V0), P_identity-{F}(V0), P_multiply-{F}(V0,V0,V0), P_inverse-{F}(V0,V0), P_inverse-{F}(V1,V0), P_multiply-{F}(V1,V0,V0), P_inverse-{F}(V2,V0), P_multiply-{F}(V2,V0,V0), P_inverse-{F}(V3,V0), P_multiply-{F}(V3,V0,V4), P_multiply-{F}(V0,V4,V0), P_multiply-{F}(V5,V0,V0), P_multiply-{F}(V6,V5,V0), P_inverse-{F}(V6,V5) | P_sk_c2-{T}(V0)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #826: exists( #34, #824 ), references = 1, size of lhs = 6:
% 18.68/18.86 P_identity-{F}(V0), P_multiply-{F}(V0,V0,V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_inverse-{F}(V0,V4) | P_sk_c8-{T}(V3), P_sk_c8-{T}(V4)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #845: mergings( V2 == V3, V3 == V4, V4 == V5; #839 ), references = 2, size of lhs = 20:
% 18.68/18.86 P_sk_c8-{F}(V0), P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c4-{F}(V4), P_inverse-{F}(V4,V5), P_sk_c7-{F}(V6), P_multiply-{F}(V4,V6,V7), V7 == V0, P_sk_c6-{F}(V8), P_multiply-{F}(V0,V8,V9), P_sk_c5-{F}(V10), P_inverse-{F}(V1,V11), P_multiply-{F}(V2,V6,V12), V12 == V0, P_multiply-{F}(V0,V10,V13), P_multiply-{F}(V14,V13,V10), P_multiply-{F}(V14,V0,V15), P_multiply-{F}(V15,V10,V16) | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #849: mergings( V2 == V3, V3 == V4, V4 == V5; #840 ), references = 2, size of lhs = 20:
% 18.68/18.86 P_sk_c8-{F}(V0), P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c4-{F}(V4), P_inverse-{F}(V4,V5), P_sk_c7-{F}(V6), P_multiply-{F}(V4,V6,V7), P_sk_c6-{F}(V8), P_multiply-{F}(V0,V8,V9), V9 == V6, P_sk_c5-{F}(V10), P_inverse-{F}(V1,V11), P_multiply-{F}(V2,V6,V12), V12 == V0, P_multiply-{F}(V0,V10,V13), P_multiply-{F}(V14,V13,V10), P_multiply-{F}(V14,V0,V15), P_multiply-{F}(V15,V10,V16) | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #853: mergings( V2 == V3, V3 == V4, V4 == V5; #841 ), references = 1, size of lhs = 20:
% 18.68/18.86 P_sk_c8-{F}(V0), P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c4-{F}(V4), P_inverse-{F}(V4,V5), P_sk_c7-{F}(V6), P_multiply-{F}(V4,V6,V7), P_sk_c6-{F}(V8), P_multiply-{F}(V0,V8,V9), P_sk_c5-{F}(V10), P_inverse-{F}(V1,V11), P_multiply-{F}(V2,V6,V12), V12 == V0, P_multiply-{F}(V0,V10,V13), P_multiply-{F}(V14,V13,V10), P_multiply-{F}(V14,V0,V15), P_multiply-{F}(V15,V10,V16), V16 == V8 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #860: exists( #38, #854 ), references = 2, size of lhs = 16:
% 18.68/18.86 P_sk_c8-{F}(V0), P_identity-{F}(V0), P_multiply-{F}(V0,V0,V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c4-{F}(V4), P_inverse-{F}(V4,V5), P_sk_c7-{F}(V6), P_multiply-{F}(V4,V6,V7), V7 == V0, P_sk_c6-{F}(V8), P_multiply-{F}(V0,V8,V9), P_inverse-{F}(V1,V10), P_multiply-{F}(V2,V6,V11), V11 == V0 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #861: exists( #38, #855 ), references = 2, size of lhs = 16:
% 18.68/18.86 P_sk_c8-{F}(V0), P_identity-{F}(V0), P_multiply-{F}(V0,V0,V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c4-{F}(V4), P_inverse-{F}(V4,V5), P_sk_c7-{F}(V6), P_multiply-{F}(V4,V6,V7), P_sk_c6-{F}(V8), P_multiply-{F}(V0,V8,V9), V9 == V6, P_inverse-{F}(V1,V10), P_multiply-{F}(V2,V6,V11), V11 == V0 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #866: exists( #37, #862 ), references = 3, size of lhs = 14:
% 18.68/18.86 P_sk_c8-{F}(V0), P_identity-{F}(V0), P_multiply-{F}(V0,V0,V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c4-{F}(V4), P_inverse-{F}(V4,V5), P_sk_c7-{F}(V6), P_multiply-{F}(V4,V6,V7), V7 == V0, P_inverse-{F}(V1,V8), P_multiply-{F}(V2,V6,V9), V9 == V0 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #870: mergings( V1 == V2; #868 ), references = 6, size of lhs = 9:
% 18.68/18.86 P_sk_c2-{F}(V0), P_sk_c4-{F}(V0), P_sk_c8-{F}(V0), P_identity-{F}(V0), P_multiply-{F}(V0,V0,V0), P_sk_c1-{F}(V1), P_multiply-{F}(V1,V0,V2), P_inverse-{F}(V0,V3), P_inverse-{F}(V1,V4) | P_sk_c7-{T}(V0)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #895: mergings( V2 == V3, V3 == V4, V4 == V5; #889 ), references = 1, size of lhs = 27:
% 18.68/18.86 P_sk_c8-{F}(V0), P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c4-{F}(V4), P_inverse-{F}(V4,V5), P_sk_c7-{F}(V6), P_multiply-{F}(V4,V6,V7), P_sk_c6-{F}(V8), P_multiply-{F}(V0,V8,V9), P_sk_c5-{F}(V10), P_inverse-{F}(V1,V11), P_inverse-{F}(V12,V0), P_multiply-{F}(V12,V6,V0), P_inverse-{F}(V13,V0), P_multiply-{F}(V13,V6,V0), P_inverse-{F}(V14,V0), P_multiply-{F}(V14,V0,V15), P_multiply-{F}(V0,V15,V6), P_multiply-{F}(V0,V10,V16), P_multiply-{F}(V17,V16,V10), P_multiply-{F}(V17,V0,V18), P_multiply-{F}(V18,V10,V19), P_multiply-{F}(V20,V6,V0), P_multiply-{F}(V21,V20,V0), P_inverse-{F}(V21,V20) | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #901: mergings( V1 == V2, V2 == V3, V3 == V4; #897 ), references = 2, size of lhs = 23:
% 18.68/18.86 P_sk_c8-{F}(V0), P_multiply-{F}(V0,V0,V0), P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c4-{F}(V4), P_inverse-{F}(V4,V5), P_sk_c7-{F}(V6), P_multiply-{F}(V4,V6,V7), P_sk_c6-{F}(V8), P_multiply-{F}(V0,V8,V9), P_inverse-{F}(V1,V10), P_inverse-{F}(V11,V0), P_multiply-{F}(V11,V6,V0), P_inverse-{F}(V12,V0), P_multiply-{F}(V12,V6,V0), P_inverse-{F}(V13,V0), P_multiply-{F}(V13,V0,V14), P_multiply-{F}(V0,V14,V6), P_multiply-{F}(V15,V6,V0), P_multiply-{F}(V16,V15,V0), P_inverse-{F}(V16,V15) | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #904: exists( #37, #902 ), references = 5, size of lhs = 21:
% 18.68/18.86 P_sk_c8-{F}(V0), P_multiply-{F}(V0,V0,V0), P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c4-{F}(V4), P_inverse-{F}(V4,V5), P_sk_c7-{F}(V6), P_multiply-{F}(V4,V6,V7), P_inverse-{F}(V1,V8), P_inverse-{F}(V9,V0), P_multiply-{F}(V9,V6,V0), P_inverse-{F}(V10,V0), P_multiply-{F}(V10,V6,V0), P_inverse-{F}(V11,V0), P_multiply-{F}(V11,V0,V12), P_multiply-{F}(V0,V12,V6), P_multiply-{F}(V13,V6,V0), P_multiply-{F}(V14,V13,V0), P_inverse-{F}(V14,V13) | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #916: exists( #29, #861 ), references = 1, size of lhs = 15:
% 18.68/18.86 P_sk_c8-{F}(V0), P_identity-{F}(V0), P_multiply-{F}(V0,V0,V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c4-{F}(V4), P_inverse-{F}(V4,V5), P_sk_c7-{F}(V6), P_sk_c6-{F}(V7), P_multiply-{F}(V0,V7,V8), V8 == V6, P_inverse-{F}(V1,V9), P_multiply-{F}(V2,V6,V10), V10 == V0 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #918: exists( #31, #915 ), references = 1, size of lhs = 14:
% 18.68/18.86 P_sk_c8-{F}(V0), P_identity-{F}(V0), P_multiply-{F}(V0,V0,V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c4-{F}(V4), P_sk_c7-{F}(V5), P_sk_c6-{F}(V6), P_multiply-{F}(V0,V6,V7), V7 == V5, P_inverse-{F}(V1,V8), P_multiply-{F}(V2,V5,V9), V9 == V0 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #934: exists( #29, #13 ), references = 1, size of lhs = 17:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), V6 == V4, P_sk_c7-{F}(V7), P_sk_c6-{F}(V8), P_multiply-{F}(V4,V8,V9), P_sk_c5-{F}(V10), P_multiply-{F}(V10,V4,V11), P_inverse-{F}(V10,V12), P_inverse-{F}(V1,V13), P_multiply-{F}(V2,V7,V14), V14 == V4 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #936: exists( #31, #933 ), references = 2, size of lhs = 15:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_sk_c7-{F}(V6), P_sk_c6-{F}(V7), P_multiply-{F}(V4,V7,V8), P_sk_c5-{F}(V9), P_multiply-{F}(V9,V4,V10), P_inverse-{F}(V9,V11), P_inverse-{F}(V1,V12), P_multiply-{F}(V2,V6,V13), V13 == V4 | P_inverse-{T}(V5,V4)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #960: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V15; #955 ), references = 3, size of lhs = 19:
% 18.68/18.86 P_sk_c8-{F}(V0), P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c4-{F}(V4), P_sk_c7-{F}(V5), P_sk_c6-{F}(V6), P_multiply-{F}(V0,V6,V7), P_sk_c5-{F}(V8), P_inverse-{F}(V1,V9), P_multiply-{F}(V2,V5,V10), V10 == V0, P_multiply-{F}(V0,V4,V11), V11 == V0, P_multiply-{F}(V0,V8,V12), P_multiply-{F}(V13,V12,V8), P_multiply-{F}(V13,V0,V14), P_multiply-{F}(V14,V8,V15) | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #963: exists( #38, #961 ), references = 3, size of lhs = 15:
% 18.68/18.86 P_sk_c8-{F}(V0), P_identity-{F}(V0), P_multiply-{F}(V0,V0,V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c4-{F}(V4), P_sk_c7-{F}(V5), P_sk_c6-{F}(V6), P_multiply-{F}(V0,V6,V7), P_inverse-{F}(V1,V8), P_multiply-{F}(V2,V5,V9), V9 == V0, P_multiply-{F}(V0,V4,V10), V10 == V0 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #968: exists( #37, #965 ), references = 4, size of lhs = 13:
% 18.68/18.86 P_sk_c8-{F}(V0), P_identity-{F}(V0), P_multiply-{F}(V0,V0,V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c4-{F}(V4), P_sk_c7-{F}(V5), P_inverse-{F}(V1,V6), P_multiply-{F}(V2,V5,V7), V7 == V0, P_multiply-{F}(V0,V4,V8), V8 == V0 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #989: mergings( V2 == V3, V3 == V4, V4 == V5; #983 ), references = 4, size of lhs = 23:
% 18.68/18.86 P_sk_c7-{F}(V0), P_sk_c8-{F}(V0), P_multiply-{F}(V0,V0,V0), P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c4-{F}(V4), P_inverse-{F}(V1,V5), P_inverse-{F}(V6,V0), P_multiply-{F}(V6,V0,V0), P_inverse-{F}(V7,V0), P_multiply-{F}(V7,V0,V0), P_inverse-{F}(V8,V0), P_multiply-{F}(V8,V0,V9), P_multiply-{F}(V0,V9,V0), P_multiply-{F}(V0,V4,V10), P_multiply-{F}(V11,V10,V4), P_multiply-{F}(V11,V0,V12), P_multiply-{F}(V12,V4,V13), P_multiply-{F}(V14,V0,V0), P_multiply-{F}(V15,V14,V0), P_inverse-{F}(V15,V14) | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #993: mergings( V1 == V2; #991 ), references = 1, size of lhs = 10:
% 18.68/18.86 P_sk_c2-{F}(V0), P_sk_c8-{F}(V0), P_identity-{F}(V0), P_multiply-{F}(V0,V0,V0), P_sk_c1-{F}(V1), P_multiply-{F}(V1,V0,V2), P_sk_c4-{F}(V3), P_inverse-{F}(V1,V4), P_multiply-{F}(V0,V3,V5), V5 == V0 | P_sk_c7-{T}(V0)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1003: mergings( V1 == V5, V2 == V6, V4 == V9, V5 == V7, V3 == V8, V8 == V7; #996 ), references = 4, size of lhs = 17:
% 18.68/18.86 P_sk_c8-{F}(V0), P_identity-{F}(V0), P_multiply-{F}(V0,V0,V0), P_sk_c2-{F}(V0), P_sk_c1-{F}(V1), P_multiply-{F}(V1,V0,V0), P_inverse-{F}(V1,V2), P_inverse-{F}(V3,V0), P_multiply-{F}(V3,V0,V0), P_inverse-{F}(V4,V0), P_multiply-{F}(V4,V0,V0), P_inverse-{F}(V5,V0), P_multiply-{F}(V5,V0,V6), P_multiply-{F}(V0,V6,V0), P_multiply-{F}(V7,V0,V0), P_multiply-{F}(V8,V7,V0), P_inverse-{F}(V8,V7) | P_sk_c4-{T}(V0)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1029: mergings( V3 == V25, V0 == V25, V25 == V5, V4 == V19, V19 == V24, V1 == V6, V6 == V9, V8 == V12, V9 == V17, V7 == V18, V12 == V20, V17 == V21, V20 == V26, V2 == V5, V5 == V18, V18 == V10, V11 == V10, V10 == V22, V22 == V23; #1009 ), references = 2, size of lhs = 27:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c2-{F}(V0), P_multiply-{F}(V0,V0,V0), P_inverse-{F}(V1,V0), P_multiply-{F}(V1,V0,V0), P_inverse-{F}(V2,V0), P_multiply-{F}(V2,V0,V0), P_inverse-{F}(V3,V0), P_multiply-{F}(V3,V0,V4), P_multiply-{F}(V0,V4,V0), P_sk_c1-{F}(V5), P_multiply-{F}(V5,V0,V0), P_inverse-{F}(V0,V6), P_inverse-{F}(V5,V7), P_inverse-{F}(V8,V0), P_multiply-{F}(V8,V0,V0), P_inverse-{F}(V9,V0), P_multiply-{F}(V9,V0,V0), P_inverse-{F}(V10,V0), P_multiply-{F}(V10,V0,V11), P_multiply-{F}(V0,V11,V0), P_multiply-{F}(V12,V0,V0), P_multiply-{F}(V13,V12,V0), P_inverse-{F}(V13,V12), P_multiply-{F}(V14,V0,V0), P_multiply-{F}(V15,V14,V0), P_inverse-{F}(V15,V14) | P_sk_c8-{T}(V6)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1050: mergings( V3 == V29, V29 == V31, V31 == V32, V0 == V32, V32 == V5, V4 == V19, V1 == V6, V6 == V9, V8 == V12, V9 == V17, V7 == V18, V12 == V20, V17 == V21, V20 == V24, V2 == V5, V5 == V18, V18 == V10, V11 == V10, V10 == V22, V22 == V23; #1008 ), references = 1, size of lhs = 28:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c2-{F}(V0), P_multiply-{F}(V0,V0,V0), P_inverse-{F}(V1,V0), P_multiply-{F}(V1,V0,V0), P_inverse-{F}(V2,V0), P_multiply-{F}(V2,V0,V0), P_inverse-{F}(V3,V0), P_multiply-{F}(V3,V0,V4), P_multiply-{F}(V0,V4,V0), P_inverse-{F}(V0,V5), P_sk_c1-{F}(V6), P_multiply-{F}(V6,V0,V0), P_inverse-{F}(V6,V7), P_inverse-{F}(V8,V0), P_multiply-{F}(V8,V0,V0), P_inverse-{F}(V9,V0), P_multiply-{F}(V9,V0,V0), P_inverse-{F}(V10,V0), P_multiply-{F}(V10,V0,V11), P_multiply-{F}(V0,V11,V0), P_multiply-{F}(V12,V0,V0), P_multiply-{F}(V13,V0,V0), P_multiply-{F}(V14,V13,V0), P_inverse-{F}(V14,V13), P_multiply-{F}(V15,V0,V0), P_multiply-{F}(V16,V15,V0), P_inverse-{F}(V16,V15) | P_sk_c8-{T}(V5)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1131: mergings( V0 == V92, V1 == V40, V4 == V6, V6 == V7, V7 == V10, V10 == V11, V11 == V12, V40 == V59, V92 == V111, V111 == V59, V59 == V2, V12 == V2, V2 == V8, V8 == V21, V21 == V73, V3 == V5, V5 == V9, V9 == V13, V13 == V14, V14 == V35, V35 == V39, V39 == V54, V54 == V58, V58 == V73, V73 == V87, V87 == V91, V91 == V106, V106 == V110, V110 == V22, V22 == V23, V24 == V23, V25 == V23, V23 == V26, V27 == V26, V28 == V26, V26 == V33, V34 == V33, V36 == V33, V33 == V37, V38 == V37, V41 == V37, V37 == V46, V47 == V46, V46 == V52, V53 == V52, V55 == V52, V52 == V56, V57 == V56, V60 == V56, V56 == V74, V74 == V75, V76 == V75, V77 == V75, V75 == V78, V79 == V78, V80 == V78, V78 == V85, V86 == V85, V88 == V85, V85 == V89, V90 == V89, V93 == V89, V89 == V98, V99 == V98, V98 == V104, V105 == V104, V107 == V104, V104 == V108, V109 == V108, V108 == V112; #1057 ), references = 1, size of lhs = 94:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V0), P_multiply-{F}(V0,V0,V0), P_inverse-{F}(V0,V0), P_inverse-{F}(V1,V0), P_multiply-{F}(V1,V0,V0), P_inverse-{F}(V2,V0), P_multiply-{F}(V2,V0,V0), P_inverse-{F}(V3,V0), P_multiply-{F}(V3,V0,V4), P_multiply-{F}(V0,V4,V0), P_inverse-{F}(V5,V0), P_multiply-{F}(V5,V0,V0), P_inverse-{F}(V6,V0), P_multiply-{F}(V6,V0,V0), P_inverse-{F}(V7,V0), P_multiply-{F}(V7,V0,V8), P_multiply-{F}(V0,V8,V0), P_inverse-{F}(V9,V0), P_multiply-{F}(V9,V0,V0), P_inverse-{F}(V10,V0), P_multiply-{F}(V10,V0,V0), P_inverse-{F}(V11,V0), P_multiply-{F}(V11,V0,V12), P_multiply-{F}(V0,V12,V0), P_inverse-{F}(V13,V0), P_multiply-{F}(V13,V0,V0), P_inverse-{F}(V14,V0), P_multiply-{F}(V14,V0,V0), P_inverse-{F}(V15,V0), P_multiply-{F}(V15,V0,V16), P_multiply-{F}(V0,V16,V0), P_inverse-{F}(V17,V0), P_multiply-{F}(V17,V0,V0), P_inverse-{F}(V18,V0), P_multiply-{F}(V18,V0,V0), P_inverse-{F}(V19,V0), P_multiply-{F}(V19,V0,V20), P_multiply-{F}(V0,V20,V0), P_inverse-{F}(V21,V0), P_multiply-{F}(V21,V0,V0), P_inverse-{F}(V22,V0), P_multiply-{F}(V22,V0,V0), P_inverse-{F}(V23,V0), P_multiply-{F}(V23,V0,V24), P_multiply-{F}(V0,V24,V0), P_inverse-{F}(V25,V0), P_multiply-{F}(V25,V0,V0), P_inverse-{F}(V26,V0), P_multiply-{F}(V26,V0,V0), P_inverse-{F}(V27,V0), P_multiply-{F}(V27,V0,V28), P_multiply-{F}(V0,V28,V0), P_inverse-{F}(V29,V0), P_multiply-{F}(V29,V0,V0), P_inverse-{F}(V30,V0), P_multiply-{F}(V30,V0,V0), P_inverse-{F}(V31,V0), P_multiply-{F}(V31,V0,V32), P_multiply-{F}(V0,V32,V0), P_inverse-{F}(V33,V0), P_multiply-{F}(V33,V0,V0), P_inverse-{F}(V34,V0), P_multiply-{F}(V34,V0,V0), P_inverse-{F}(V35,V0), P_multiply-{F}(V35,V0,V36), P_multiply-{F}(V0,V36,V0), P_multiply-{F}(V37,V0,V0), P_multiply-{F}(V38,V37,V0), P_inverse-{F}(V38,V37), P_multiply-{F}(V39,V0,V0), P_multiply-{F}(V40,V39,V0), P_inverse-{F}(V40,V39), P_multiply-{F}(V41,V0,V0), P_multiply-{F}(V42,V41,V0), P_inverse-{F}(V42,V41), P_multiply-{F}(V43,V0,V0), P_multiply-{F}(V44,V43,V0), P_inverse-{F}(V44,V43), P_multiply-{F}(V45,V0,V0), P_multiply-{F}(V46,V45,V0), P_inverse-{F}(V46,V45), P_multiply-{F}(V47,V0,V0), P_multiply-{F}(V48,V47,V0), P_inverse-{F}(V48,V47), P_multiply-{F}(V49,V0,V0), P_multiply-{F}(V50,V49,V0), P_inverse-{F}(V50,V49), P_multiply-{F}(V51,V0,V0), P_multiply-{F}(V52,V51,V0), P_inverse-{F}(V52,V51), P_multiply-{F}(V53,V0,V0), P_multiply-{F}(V54,V53,V0), P_inverse-{F}(V54,V53) | P_sk_c2-{T}(V0)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1203: mergings( V0 == V92, V1 == V40, V4 == V6, V6 == V7, V7 == V10, V10 == V11, V11 == V12, V40 == V59, V92 == V115, V115 == V117, V117 == V118, V118 == V59, V59 == V2, V12 == V2, V2 == V8, V8 == V21, V21 == V73, V3 == V5, V5 == V9, V9 == V13, V13 == V14, V14 == V35, V35 == V39, V39 == V54, V54 == V58, V58 == V73, V73 == V87, V87 == V91, V91 == V106, V106 == V22, V22 == V23, V24 == V23, V25 == V23, V23 == V26, V27 == V26, V28 == V26, V26 == V33, V34 == V33, V36 == V33, V33 == V37, V38 == V37, V41 == V37, V37 == V46, V47 == V46, V46 == V52, V53 == V52, V55 == V52, V52 == V56, V57 == V56, V60 == V56, V56 == V74, V74 == V75, V76 == V75, V77 == V75, V75 == V78, V79 == V78, V80 == V78, V78 == V85, V86 == V85, V88 == V85, V85 == V89, V90 == V89, V93 == V89, V89 == V98, V99 == V98, V98 == V104, V105 == V104, V104 == V107, V107 == V108, V109 == V108, V108 == V110; #1058 ), references = 1, size of lhs = 95:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V0), P_inverse-{F}(V0,V0), P_multiply-{F}(V0,V0,V0), P_inverse-{F}(V1,V0), P_multiply-{F}(V1,V0,V0), P_inverse-{F}(V2,V0), P_multiply-{F}(V2,V0,V0), P_inverse-{F}(V3,V0), P_multiply-{F}(V3,V0,V4), P_multiply-{F}(V0,V4,V0), P_inverse-{F}(V5,V0), P_multiply-{F}(V5,V0,V0), P_inverse-{F}(V6,V0), P_multiply-{F}(V6,V0,V0), P_inverse-{F}(V7,V0), P_multiply-{F}(V7,V0,V8), P_multiply-{F}(V0,V8,V0), P_inverse-{F}(V9,V0), P_multiply-{F}(V9,V0,V0), P_inverse-{F}(V10,V0), P_multiply-{F}(V10,V0,V0), P_inverse-{F}(V11,V0), P_multiply-{F}(V11,V0,V12), P_multiply-{F}(V0,V12,V0), P_inverse-{F}(V13,V0), P_multiply-{F}(V13,V0,V0), P_inverse-{F}(V14,V0), P_multiply-{F}(V14,V0,V0), P_inverse-{F}(V15,V0), P_multiply-{F}(V15,V0,V16), P_multiply-{F}(V0,V16,V0), P_inverse-{F}(V17,V0), P_multiply-{F}(V17,V0,V0), P_inverse-{F}(V18,V0), P_multiply-{F}(V18,V0,V0), P_inverse-{F}(V19,V0), P_multiply-{F}(V19,V0,V20), P_multiply-{F}(V0,V20,V0), P_inverse-{F}(V21,V0), P_multiply-{F}(V21,V0,V0), P_inverse-{F}(V22,V0), P_multiply-{F}(V22,V0,V0), P_inverse-{F}(V23,V0), P_multiply-{F}(V23,V0,V24), P_multiply-{F}(V0,V24,V0), P_inverse-{F}(V25,V0), P_multiply-{F}(V25,V0,V0), P_inverse-{F}(V26,V0), P_multiply-{F}(V26,V0,V0), P_inverse-{F}(V27,V0), P_multiply-{F}(V27,V0,V28), P_multiply-{F}(V0,V28,V0), P_inverse-{F}(V29,V0), P_multiply-{F}(V29,V0,V0), P_inverse-{F}(V30,V0), P_multiply-{F}(V30,V0,V0), P_inverse-{F}(V31,V0), P_multiply-{F}(V31,V0,V32), P_multiply-{F}(V0,V32,V0), P_inverse-{F}(V33,V0), P_multiply-{F}(V33,V0,V0), P_inverse-{F}(V34,V0), P_multiply-{F}(V34,V0,V0), P_inverse-{F}(V35,V0), P_multiply-{F}(V35,V0,V36), P_multiply-{F}(V0,V36,V0), P_multiply-{F}(V37,V0,V0), P_multiply-{F}(V38,V0,V0), P_multiply-{F}(V39,V38,V0), P_inverse-{F}(V39,V38), P_multiply-{F}(V40,V0,V0), P_multiply-{F}(V41,V40,V0), P_inverse-{F}(V41,V40), P_multiply-{F}(V42,V0,V0), P_multiply-{F}(V43,V42,V0), P_inverse-{F}(V43,V42), P_multiply-{F}(V44,V0,V0), P_multiply-{F}(V45,V44,V0), P_inverse-{F}(V45,V44), P_multiply-{F}(V46,V0,V0), P_multiply-{F}(V47,V46,V0), P_inverse-{F}(V47,V46), P_multiply-{F}(V48,V0,V0), P_multiply-{F}(V49,V48,V0), P_inverse-{F}(V49,V48), P_multiply-{F}(V50,V0,V0), P_multiply-{F}(V51,V50,V0), P_inverse-{F}(V51,V50), P_multiply-{F}(V52,V0,V0), P_multiply-{F}(V53,V52,V0), P_inverse-{F}(V53,V52), P_multiply-{F}(V54,V0,V0), P_multiply-{F}(V55,V54,V0), P_inverse-{F}(V55,V54) | P_sk_c2-{T}(V0)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1275: mergings( V0 == V94, V1 == V40, V4 == V6, V6 == V7, V7 == V10, V10 == V11, V11 == V12, V40 == V63, V63 == V65, V65 == V66, V94 == V113, V113 == V66, V66 == V2, V12 == V2, V2 == V8, V8 == V21, V21 == V75, V3 == V5, V5 == V9, V9 == V13, V13 == V14, V14 == V35, V35 == V39, V39 == V54, V54 == V75, V75 == V89, V89 == V93, V93 == V108, V108 == V112, V112 == V22, V22 == V23, V24 == V23, V25 == V23, V23 == V26, V27 == V26, V28 == V26, V26 == V33, V34 == V33, V36 == V33, V33 == V37, V38 == V37, V41 == V37, V37 == V46, V47 == V46, V46 == V52, V53 == V52, V55 == V52, V52 == V56, V57 == V56, V58 == V56, V56 == V76, V76 == V77, V78 == V77, V79 == V77, V77 == V80, V81 == V80, V82 == V80, V80 == V87, V88 == V87, V90 == V87, V87 == V91, V92 == V91, V95 == V91, V91 == V100, V101 == V100, V100 == V106, V107 == V106, V109 == V106, V106 == V110, V111 == V110, V110 == V114; #1059 ), references = 1, size of lhs = 95:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V0), P_multiply-{F}(V0,V0,V0), P_inverse-{F}(V0,V0), P_inverse-{F}(V1,V0), P_multiply-{F}(V1,V0,V0), P_inverse-{F}(V2,V0), P_multiply-{F}(V2,V0,V0), P_inverse-{F}(V3,V0), P_multiply-{F}(V3,V0,V4), P_multiply-{F}(V0,V4,V0), P_inverse-{F}(V5,V0), P_multiply-{F}(V5,V0,V0), P_inverse-{F}(V6,V0), P_multiply-{F}(V6,V0,V0), P_inverse-{F}(V7,V0), P_multiply-{F}(V7,V0,V8), P_multiply-{F}(V0,V8,V0), P_inverse-{F}(V9,V0), P_multiply-{F}(V9,V0,V0), P_inverse-{F}(V10,V0), P_multiply-{F}(V10,V0,V0), P_inverse-{F}(V11,V0), P_multiply-{F}(V11,V0,V12), P_multiply-{F}(V0,V12,V0), P_inverse-{F}(V13,V0), P_multiply-{F}(V13,V0,V0), P_inverse-{F}(V14,V0), P_multiply-{F}(V14,V0,V0), P_inverse-{F}(V15,V0), P_multiply-{F}(V15,V0,V16), P_multiply-{F}(V0,V16,V0), P_inverse-{F}(V17,V0), P_multiply-{F}(V17,V0,V0), P_inverse-{F}(V18,V0), P_multiply-{F}(V18,V0,V0), P_inverse-{F}(V19,V0), P_multiply-{F}(V19,V0,V20), P_multiply-{F}(V0,V20,V0), P_multiply-{F}(V21,V0,V0), P_inverse-{F}(V22,V0), P_multiply-{F}(V22,V0,V0), P_inverse-{F}(V23,V0), P_multiply-{F}(V23,V0,V0), P_inverse-{F}(V24,V0), P_multiply-{F}(V24,V0,V25), P_multiply-{F}(V0,V25,V0), P_inverse-{F}(V26,V0), P_multiply-{F}(V26,V0,V0), P_inverse-{F}(V27,V0), P_multiply-{F}(V27,V0,V0), P_inverse-{F}(V28,V0), P_multiply-{F}(V28,V0,V29), P_multiply-{F}(V0,V29,V0), P_inverse-{F}(V30,V0), P_multiply-{F}(V30,V0,V0), P_inverse-{F}(V31,V0), P_multiply-{F}(V31,V0,V0), P_inverse-{F}(V32,V0), P_multiply-{F}(V32,V0,V33), P_multiply-{F}(V0,V33,V0), P_inverse-{F}(V34,V0), P_multiply-{F}(V34,V0,V0), P_inverse-{F}(V35,V0), P_multiply-{F}(V35,V0,V0), P_inverse-{F}(V36,V0), P_multiply-{F}(V36,V0,V37), P_multiply-{F}(V0,V37,V0), P_multiply-{F}(V38,V0,V0), P_multiply-{F}(V39,V38,V0), P_inverse-{F}(V39,V38), P_multiply-{F}(V40,V0,V0), P_multiply-{F}(V41,V40,V0), P_inverse-{F}(V41,V40), P_multiply-{F}(V42,V0,V0), P_multiply-{F}(V43,V42,V0), P_inverse-{F}(V43,V42), P_multiply-{F}(V44,V0,V0), P_multiply-{F}(V45,V44,V0), P_inverse-{F}(V45,V44), P_multiply-{F}(V46,V0,V0), P_multiply-{F}(V47,V46,V0), P_inverse-{F}(V47,V46), P_multiply-{F}(V48,V0,V0), P_multiply-{F}(V49,V48,V0), P_inverse-{F}(V49,V48), P_multiply-{F}(V50,V0,V0), P_multiply-{F}(V51,V50,V0), P_inverse-{F}(V51,V50), P_multiply-{F}(V52,V0,V0), P_multiply-{F}(V53,V52,V0), P_inverse-{F}(V53,V52), P_multiply-{F}(V54,V0,V0), P_multiply-{F}(V55,V54,V0), P_inverse-{F}(V55,V54) | P_sk_c2-{T}(V0)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1286: exists( #29, #904 ), references = 1, size of lhs = 20:
% 18.68/18.86 P_sk_c8-{F}(V0), P_multiply-{F}(V0,V0,V0), P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_sk_c4-{F}(V3), P_inverse-{F}(V3,V4), P_sk_c7-{F}(V5), P_multiply-{F}(V3,V5,V6), P_inverse-{F}(V1,V7), P_inverse-{F}(V8,V0), P_multiply-{F}(V8,V5,V0), P_inverse-{F}(V9,V0), P_multiply-{F}(V9,V5,V0), P_inverse-{F}(V10,V0), P_multiply-{F}(V10,V0,V11), P_multiply-{F}(V0,V11,V5), P_multiply-{F}(V12,V5,V0), P_multiply-{F}(V13,V12,V0), P_inverse-{F}(V13,V12) | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1288: exists( #31, #1285 ), references = 6, size of lhs = 19:
% 18.68/18.86 P_sk_c8-{F}(V0), P_multiply-{F}(V0,V0,V0), P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_sk_c4-{F}(V3), P_inverse-{F}(V3,V4), P_sk_c7-{F}(V5), P_multiply-{F}(V3,V5,V6), P_inverse-{F}(V7,V0), P_multiply-{F}(V7,V5,V0), P_inverse-{F}(V8,V0), P_multiply-{F}(V8,V5,V0), P_inverse-{F}(V9,V0), P_multiply-{F}(V9,V0,V10), P_multiply-{F}(V0,V10,V5), P_multiply-{F}(V11,V5,V0), P_multiply-{F}(V12,V11,V0), P_inverse-{F}(V12,V11) | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1300: exists( #29, #4 ), references = 4, size of lhs = 9:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_sk_c8-{F}(V3), P_sk_c4-{F}(V4), P_inverse-{F}(V4,V5), P_sk_c7-{F}(V6), P_multiply-{F}(V4,V6,V7), V7 == V3 | P_multiply-{T}(V1,V2,V3)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1304: exists( #29, #866 ), references = 2, size of lhs = 12:
% 18.68/18.86 P_sk_c8-{F}(V0), P_identity-{F}(V0), P_multiply-{F}(V0,V0,V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c4-{F}(V4), P_inverse-{F}(V4,V5), P_sk_c7-{F}(V6), P_multiply-{F}(V4,V6,V7), V7 == V0, P_inverse-{F}(V1,V8) | P_multiply-{T}(V2,V6,V0)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1340: mergings( V8 == V14, V1 == V2, V2 == V3, V3 == V4, V4 == V5, V12 == V13, V5 == V11, V6 == V10; #1330 ), references = 1, size of lhs = 11:
% 18.68/18.86 P_sk_c8-{F}(V0), P_multiply-{F}(V0,V0,V0), P_sk_c4-{F}(V0), P_identity-{F}(V0), P_multiply-{F}(V1,V0,V0), P_sk_c1-{F}(V2), P_multiply-{F}(V0,V2,V2), P_sk_c2-{F}(V3), P_inverse-{F}(V0,V4), P_multiply-{F}(V0,V3,V5), P_multiply-{F}(V1,V5,V3) | P_sk_c7-{T}(V0), P_sk_c7-{T}(V2)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1344: exists( #31, #19 ), references = 1, size of lhs = 18:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), V8 == V4, P_sk_c6-{F}(V9), P_multiply-{F}(V4,V9,V10), P_sk_c5-{F}(V11), P_multiply-{F}(V11,V4,V12), P_inverse-{F}(V11,V13), P_inverse-{F}(V1,V14), P_multiply-{F}(V2,V7,V15), P_sk_c3-{F}(V16) | P_inverse-{T}(V16,V4)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1345: exists( #31, #21 ), references = 2, size of lhs = 18:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), P_sk_c6-{F}(V9), P_multiply-{F}(V4,V9,V10), P_sk_c5-{F}(V11), P_multiply-{F}(V11,V4,V12), V12 == V9, P_inverse-{F}(V11,V13), P_inverse-{F}(V1,V14), P_multiply-{F}(V2,V7,V15), P_sk_c3-{F}(V16) | P_inverse-{T}(V16,V4)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1346: exists( #31, #22 ), references = 2, size of lhs = 18:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), P_sk_c6-{F}(V9), P_multiply-{F}(V4,V9,V10), P_sk_c5-{F}(V11), P_multiply-{F}(V11,V4,V12), P_inverse-{F}(V11,V13), V13 == V4, P_inverse-{F}(V1,V14), P_multiply-{F}(V2,V7,V15), P_sk_c3-{F}(V16) | P_inverse-{T}(V16,V4)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1352: mergings( V1 == V2, V2 == V17; #1349 ), references = 1, size of lhs = 17:
% 18.68/18.86 P_sk_c8-{F}(V0), P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c4-{F}(V4), P_inverse-{F}(V4,V5), P_sk_c7-{F}(V6), P_multiply-{F}(V4,V6,V7), V7 == V0, P_sk_c6-{F}(V8), P_multiply-{F}(V0,V8,V9), P_sk_c5-{F}(V10), P_multiply-{F}(V10,V0,V11), P_inverse-{F}(V10,V12), P_inverse-{F}(V1,V13), P_multiply-{F}(V2,V6,V14) | P_sk_c3-{T}(V0)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1378: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #1371 ), references = 1, size of lhs = 25:
% 18.68/18.86 P_identity-{F}(V0), P_multiply-{F}(V0,V0,V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), V8 == V4, P_sk_c6-{F}(V9), P_multiply-{F}(V4,V9,V10), P_sk_c5-{F}(V11), P_multiply-{F}(V0,V11,V12), P_multiply-{F}(V11,V4,V13), P_inverse-{F}(V1,V14), P_multiply-{F}(V2,V7,V15), P_sk_c3-{F}(V16), P_inverse-{F}(V16,V17), V17 == V4, P_multiply-{F}(V18,V0,V18), P_multiply-{F}(V19,V18,V20), P_multiply-{F}(V20,V12,V21), P_multiply-{F}(V21,V22,V19) | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1383: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #1372 ), references = 1, size of lhs = 25:
% 18.68/18.86 P_identity-{F}(V0), P_multiply-{F}(V0,V0,V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), P_sk_c6-{F}(V9), P_multiply-{F}(V4,V9,V10), P_sk_c5-{F}(V11), P_multiply-{F}(V0,V11,V12), P_multiply-{F}(V11,V4,V13), V13 == V9, P_inverse-{F}(V1,V14), P_multiply-{F}(V2,V7,V15), P_sk_c3-{F}(V16), P_inverse-{F}(V16,V17), V17 == V4, P_multiply-{F}(V18,V0,V18), P_multiply-{F}(V19,V18,V20), P_multiply-{F}(V20,V12,V21), P_multiply-{F}(V21,V22,V19) | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1409: mergings( V2 == V3, V3 == V4, V4 == V5; #1403 ), references = 2, size of lhs = 22:
% 18.68/18.86 P_sk_c8-{F}(V0), P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c4-{F}(V4), P_inverse-{F}(V4,V5), P_sk_c7-{F}(V6), P_multiply-{F}(V4,V6,V7), V7 == V0, P_sk_c6-{F}(V8), P_multiply-{F}(V0,V8,V9), P_sk_c5-{F}(V10), P_inverse-{F}(V1,V11), P_multiply-{F}(V2,V6,V12), P_sk_c3-{F}(V13), P_inverse-{F}(V13,V14), V14 == V0, P_multiply-{F}(V0,V10,V15), P_multiply-{F}(V16,V15,V10), P_multiply-{F}(V16,V0,V17), P_multiply-{F}(V17,V10,V18) | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1413: mergings( V2 == V3, V3 == V4, V4 == V5; #1404 ), references = 2, size of lhs = 22:
% 18.68/18.86 P_sk_c8-{F}(V0), P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c4-{F}(V4), P_inverse-{F}(V4,V5), P_sk_c7-{F}(V6), P_multiply-{F}(V4,V6,V7), P_sk_c6-{F}(V8), P_multiply-{F}(V0,V8,V9), P_sk_c5-{F}(V10), P_inverse-{F}(V1,V11), P_multiply-{F}(V2,V6,V12), P_sk_c3-{F}(V13), P_inverse-{F}(V13,V14), V14 == V0, P_multiply-{F}(V0,V10,V15), P_multiply-{F}(V16,V15,V10), P_multiply-{F}(V16,V0,V17), P_multiply-{F}(V17,V10,V18), V18 == V8 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1416: exists( #31, #24 ), references = 1, size of lhs = 19:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), V8 == V4, P_sk_c6-{F}(V9), P_multiply-{F}(V4,V9,V10), P_sk_c5-{F}(V11), P_sk_c3-{F}(V11), P_multiply-{F}(V11,V4,V12), P_inverse-{F}(V1,V13), P_multiply-{F}(V2,V7,V14), P_multiply-{F}(V11,V7,V15), V15 == V4 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1417: exists( #31, #26 ), references = 1, size of lhs = 19:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), P_sk_c6-{F}(V9), P_multiply-{F}(V4,V9,V10), P_sk_c5-{F}(V11), P_sk_c3-{F}(V11), P_multiply-{F}(V11,V4,V12), V12 == V9, P_inverse-{F}(V1,V13), P_multiply-{F}(V2,V7,V14), P_multiply-{F}(V11,V7,V15), V15 == V4 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1424: exists( #31, #1409 ), references = 2, size of lhs = 20:
% 18.68/18.86 P_sk_c8-{F}(V0), P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c4-{F}(V4), P_inverse-{F}(V4,V5), P_sk_c7-{F}(V6), P_multiply-{F}(V4,V6,V7), V7 == V0, P_sk_c6-{F}(V8), P_multiply-{F}(V0,V8,V9), P_sk_c5-{F}(V10), P_inverse-{F}(V1,V11), P_multiply-{F}(V2,V6,V12), P_sk_c3-{F}(V13), P_multiply-{F}(V0,V10,V14), P_multiply-{F}(V15,V14,V10), P_multiply-{F}(V15,V0,V16), P_multiply-{F}(V16,V10,V17) | P_inverse-{T}(V13,V0)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1425: exists( #31, #1413 ), references = 2, size of lhs = 20:
% 18.68/18.86 P_sk_c8-{F}(V0), P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c4-{F}(V4), P_inverse-{F}(V4,V5), P_sk_c7-{F}(V6), P_multiply-{F}(V4,V6,V7), P_sk_c6-{F}(V8), P_multiply-{F}(V0,V8,V9), P_sk_c5-{F}(V10), P_inverse-{F}(V1,V11), P_multiply-{F}(V2,V6,V12), P_sk_c3-{F}(V13), P_multiply-{F}(V0,V10,V14), P_multiply-{F}(V15,V14,V10), P_multiply-{F}(V15,V0,V16), P_multiply-{F}(V16,V10,V17), V17 == V8 | P_inverse-{T}(V13,V0)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1431: mergings( V1 == V18; #1429 ), references = 1, size of lhs = 19:
% 18.68/18.86 P_sk_c8-{F}(V0), P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c4-{F}(V4), P_inverse-{F}(V4,V5), P_sk_c7-{F}(V6), P_multiply-{F}(V4,V6,V7), V7 == V0, P_sk_c6-{F}(V8), P_multiply-{F}(V0,V8,V9), P_sk_c5-{F}(V10), P_inverse-{F}(V1,V11), P_multiply-{F}(V2,V6,V12), P_multiply-{F}(V0,V10,V13), P_multiply-{F}(V14,V13,V10), P_multiply-{F}(V14,V0,V15), P_multiply-{F}(V15,V10,V16) | P_sk_c3-{T}(V0)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1458: mergings( V2 == V3, V3 == V4, V4 == V5; #1452 ), references = 1, size of lhs = 23:
% 18.68/18.86 P_sk_c8-{F}(V0), P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c4-{F}(V4), P_inverse-{F}(V4,V5), P_sk_c7-{F}(V6), P_multiply-{F}(V4,V6,V7), V7 == V0, P_sk_c6-{F}(V8), P_multiply-{F}(V0,V8,V9), P_sk_c5-{F}(V10), P_inverse-{F}(V1,V11), P_multiply-{F}(V2,V6,V12), P_sk_c3-{F}(V13), P_inverse-{F}(V13,V14), P_multiply-{F}(V13,V6,V15), V15 == V0, P_multiply-{F}(V0,V10,V16), P_multiply-{F}(V17,V16,V10), P_multiply-{F}(V17,V0,V18), P_multiply-{F}(V18,V10,V19) | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1462: mergings( V2 == V3, V3 == V4, V4 == V5; #1453 ), references = 2, size of lhs = 23:
% 18.68/18.86 P_sk_c8-{F}(V0), P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c4-{F}(V4), P_inverse-{F}(V4,V5), P_sk_c7-{F}(V6), P_multiply-{F}(V4,V6,V7), P_sk_c6-{F}(V8), P_multiply-{F}(V0,V8,V9), P_sk_c5-{F}(V10), P_inverse-{F}(V1,V11), P_multiply-{F}(V2,V6,V12), P_sk_c3-{F}(V13), P_inverse-{F}(V13,V14), P_multiply-{F}(V13,V6,V15), V15 == V0, P_multiply-{F}(V0,V10,V16), P_multiply-{F}(V17,V16,V10), P_multiply-{F}(V17,V0,V18), P_multiply-{F}(V18,V10,V19), V19 == V8 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1484: mergings( V1 == V13, V13 == V14, V14 == V15, V15 == V16, V2 == V17, V11 == V26, V3 == V18, V4 == V19, V5 == V20, V6 == V21, V7 == V22, V8 == V23, V12 == V27, V9 == V24, V10 == V25; #1467 ), references = 2, size of lhs = 18:
% 18.68/18.86 P_sk_c8-{F}(V0), P_multiply-{F}(V0,V0,V0), P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c4-{F}(V4), P_inverse-{F}(V4,V5), P_sk_c7-{F}(V6), P_multiply-{F}(V4,V6,V7), V7 == V0, P_sk_c6-{F}(V8), P_multiply-{F}(V0,V8,V9), P_inverse-{F}(V1,V10), P_multiply-{F}(V2,V6,V11), P_inverse-{F}(V0,V12), P_multiply-{F}(V0,V6,V13), V13 == V0 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1487: exists( #37, #1485 ), references = 1, size of lhs = 16:
% 18.68/18.86 P_sk_c8-{F}(V0), P_multiply-{F}(V0,V0,V0), P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c4-{F}(V4), P_inverse-{F}(V4,V5), P_sk_c7-{F}(V6), P_multiply-{F}(V4,V6,V7), V7 == V0, P_inverse-{F}(V1,V8), P_multiply-{F}(V2,V6,V9), P_inverse-{F}(V0,V10), P_multiply-{F}(V0,V6,V11), V11 == V0 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1517: mergings( V7 == V13, V0 == V1, V1 == V2, V2 == V3, V3 == V4, V11 == V12, V4 == V10, V10 == V14, V14 == V15, V15 == V19, V29 == V30, V19 == V20, V20 == V22, V13 == V28, V5 == V9, V9 == V27, V8 == V23, V12 == V30, V22 == V16, V18 == V28, V17 == V27, V16 == V24, V26 == V28, V25 == V27; #1492 ), references = 4, size of lhs = 14:
% 18.68/18.86 P_sk_c1-{F}(V0), P_sk_c8-{F}(V1), V0 == V1, P_multiply-{F}(V1,V1,V1), P_identity-{F}(V1), P_sk_c4-{F}(V1), P_multiply-{F}(V1,V0,V0), P_multiply-{F}(V2,V1,V1), P_multiply-{F}(V3,V1,V1), P_sk_c2-{F}(V4), P_inverse-{F}(V1,V5), P_multiply-{F}(V1,V4,V6), P_multiply-{F}(V2,V6,V4), P_multiply-{F}(V3,V6,V4) | P_sk_c7-{T}(V1)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1540: mergings( V3 == V9; #1536 ), references = 1, size of lhs = 13:
% 18.68/18.86 P_sk_c1-{F}(V0), P_sk_c2-{F}(V1), P_sk_c8-{F}(V2), P_sk_c4-{F}(V3), P_sk_c7-{F}(V4), P_multiply-{F}(V2,V4,V0), P_sk_c6-{F}(V5), P_multiply-{F}(V2,V5,V6), V6 == V4, P_identity-{F}(V7), P_multiply-{F}(V7,V1,V8), P_multiply-{F}(V9,V8,V3), P_multiply-{F}(V9,V7,V10) | P_multiply-{T}(V3,V4,V10)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1546: mergings( V1 == V2, V2 == V17; #1543 ), references = 1, size of lhs = 17:
% 18.68/18.86 P_sk_c8-{F}(V0), P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c4-{F}(V4), P_inverse-{F}(V4,V5), P_sk_c7-{F}(V6), P_multiply-{F}(V4,V6,V7), P_sk_c6-{F}(V8), P_multiply-{F}(V0,V8,V9), P_sk_c5-{F}(V10), P_multiply-{F}(V10,V0,V11), V11 == V8, P_inverse-{F}(V10,V12), P_inverse-{F}(V1,V13), P_multiply-{F}(V2,V6,V14) | P_sk_c3-{T}(V0)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1555: mergings( V1 == V18; #1553 ), references = 1, size of lhs = 19:
% 18.68/18.86 P_sk_c8-{F}(V0), P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c4-{F}(V4), P_inverse-{F}(V4,V5), P_sk_c7-{F}(V6), P_multiply-{F}(V4,V6,V7), P_sk_c6-{F}(V8), P_multiply-{F}(V0,V8,V9), P_sk_c5-{F}(V10), P_inverse-{F}(V1,V11), P_multiply-{F}(V2,V6,V12), P_multiply-{F}(V0,V10,V13), P_multiply-{F}(V14,V13,V10), P_multiply-{F}(V14,V0,V15), P_multiply-{F}(V15,V10,V16), V16 == V8 | P_sk_c3-{T}(V0)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1571: mergings( V11 == V12, V1 == V14, V9 == V23, V2 == V15, V3 == V16, V4 == V17, V5 == V18, V6 == V19, V7 == V20, V10 == V24, V8 == V21, V13 == V22; #1558 ), references = 3, size of lhs = 17:
% 18.68/18.86 P_sk_c8-{F}(V0), P_identity-{F}(V0), P_multiply-{F}(V0,V0,V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c4-{F}(V4), P_inverse-{F}(V4,V5), P_sk_c7-{F}(V6), P_multiply-{F}(V4,V6,V7), P_sk_c6-{F}(V8), P_multiply-{F}(V0,V8,V9), P_inverse-{F}(V1,V10), P_multiply-{F}(V2,V6,V11), P_inverse-{F}(V0,V12), P_multiply-{F}(V0,V6,V13), V13 == V0 | P_sk_c5-{T}(V8)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1577: mergings( V1 == V2, V2 == V17; #1574 ), references = 1, size of lhs = 17:
% 18.68/18.86 P_sk_c8-{F}(V0), P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c4-{F}(V4), P_inverse-{F}(V4,V5), P_sk_c7-{F}(V6), P_multiply-{F}(V4,V6,V7), P_sk_c6-{F}(V8), P_multiply-{F}(V0,V8,V9), P_sk_c5-{F}(V10), P_multiply-{F}(V10,V0,V11), P_inverse-{F}(V10,V12), V12 == V0, P_inverse-{F}(V1,V13), P_multiply-{F}(V2,V6,V14) | P_sk_c3-{T}(V0)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1627: mergings( V10 == V11, V11 == V26, V26 == V27, V27 == V41, V41 == V42, V24 == V57, V38 == V54, V0 == V13, V8 == V22, V13 == V28, V22 == V39, V28 == V43, V39 == V55, V1 == V14, V2 == V15, V14 == V29, V15 == V30, V29 == V44, V30 == V45, V42 == V46, V37 == V53, V3 == V16, V4 == V17, V16 == V31, V17 == V32, V31 == V47, V32 == V48, V5 == V18, V6 == V19, V9 == V23, V18 == V33, V19 == V34, V23 == V40, V33 == V49, V25 == V58, V34 == V50, V40 == V56, V7 == V20, V12 == V21, V20 == V35, V21 == V36, V35 == V51, V36 == V52; #1581 ), references = 1, size of lhs = 21:
% 18.68/18.86 P_identity-{F}(V0), P_multiply-{F}(V0,V0,V0), P_sk_c8-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c4-{F}(V4), P_inverse-{F}(V4,V5), V5 == V0, P_sk_c7-{F}(V6), P_multiply-{F}(V4,V6,V7), P_sk_c6-{F}(V8), P_multiply-{F}(V0,V8,V9), P_multiply-{F}(V8,V0,V10), P_inverse-{F}(V8,V11), V11 == V0, P_inverse-{F}(V1,V12), P_multiply-{F}(V2,V6,V13), P_inverse-{F}(V0,V14), P_multiply-{F}(V0,V6,V15), V15 == V0 | P_sk_c5-{T}(V8)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1671: mergings( V10 == V11, V11 == V26, V26 == V27, V27 == V41, V41 == V42, V24 == V57, V38 == V54, V0 == V13, V8 == V22, V13 == V28, V22 == V39, V28 == V43, V39 == V55, V1 == V14, V2 == V15, V14 == V29, V15 == V30, V29 == V44, V30 == V45, V42 == V46, V37 == V53, V3 == V16, V4 == V17, V16 == V31, V17 == V32, V31 == V47, V32 == V48, V5 == V18, V6 == V19, V9 == V23, V18 == V33, V19 == V34, V23 == V40, V33 == V49, V25 == V58, V34 == V50, V40 == V56, V7 == V20, V12 == V21, V20 == V35, V21 == V36, V35 == V51, V36 == V52; #1582 ), references = 1, size of lhs = 21:
% 18.68/18.86 P_identity-{F}(V0), P_multiply-{F}(V0,V0,V0), P_sk_c8-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c4-{F}(V4), P_inverse-{F}(V4,V5), P_sk_c7-{F}(V6), P_multiply-{F}(V4,V6,V7), P_sk_c6-{F}(V8), P_multiply-{F}(V0,V8,V9), V9 == V6, P_multiply-{F}(V8,V0,V10), P_inverse-{F}(V8,V11), V11 == V0, P_inverse-{F}(V1,V12), P_multiply-{F}(V2,V6,V13), P_inverse-{F}(V0,V14), P_multiply-{F}(V0,V6,V15), V15 == V0 | P_sk_c5-{T}(V8)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1715: mergings( V10 == V11, V11 == V26, V26 == V27, V27 == V41, V41 == V42, V24 == V57, V38 == V54, V0 == V13, V8 == V22, V13 == V28, V22 == V39, V28 == V43, V39 == V55, V1 == V14, V2 == V15, V14 == V29, V15 == V30, V29 == V44, V30 == V45, V42 == V46, V37 == V53, V3 == V16, V4 == V17, V16 == V31, V17 == V32, V31 == V47, V32 == V48, V5 == V18, V6 == V19, V9 == V23, V18 == V33, V19 == V34, V23 == V40, V33 == V49, V25 == V58, V34 == V50, V40 == V56, V7 == V20, V12 == V21, V20 == V35, V21 == V36, V35 == V51, V36 == V52; #1583 ), references = 1, size of lhs = 20:
% 18.68/18.86 P_identity-{F}(V0), P_multiply-{F}(V0,V0,V0), P_sk_c8-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c4-{F}(V4), P_inverse-{F}(V4,V5), P_sk_c7-{F}(V6), P_multiply-{F}(V4,V6,V7), P_sk_c6-{F}(V8), P_multiply-{F}(V0,V8,V9), P_multiply-{F}(V8,V0,V10), P_inverse-{F}(V8,V11), V11 == V0, P_inverse-{F}(V1,V12), P_multiply-{F}(V2,V6,V13), P_inverse-{F}(V0,V14), P_multiply-{F}(V0,V6,V15), V15 == V0 | P_sk_c5-{T}(V8)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1768: mergings( V3 == V4; #1764 ), references = 1, size of lhs = 12:
% 18.68/18.86 P_sk_c8-{F}(V0), P_identity-{F}(V0), P_multiply-{F}(V0,V0,V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_sk_c4-{F}(V3), P_sk_c7-{F}(V4), P_inverse-{F}(V1,V5), P_multiply-{F}(V0,V3,V6), V6 == V0, P_multiply-{F}(V2,V7,V1), P_multiply-{F}(V7,V2,V4) | P_multiply-{T}(V2,V4,V0)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1770: mergings( V3 == V4; #1765 ), references = 1, size of lhs = 14:
% 18.68/18.86 P_sk_c8-{F}(V0), P_identity-{F}(V0), P_multiply-{F}(V0,V0,V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_sk_c4-{F}(V3), P_sk_c7-{F}(V4), P_sk_c6-{F}(V5), P_multiply-{F}(V0,V5,V6), P_inverse-{F}(V1,V7), P_multiply-{F}(V0,V3,V8), V8 == V0, P_multiply-{F}(V2,V9,V1), P_multiply-{F}(V9,V2,V4) | P_multiply-{T}(V2,V4,V0)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1772: mergings( V3 == V4; #1766 ), references = 1, size of lhs = 18:
% 18.68/18.86 P_sk_c8-{F}(V0), P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_sk_c4-{F}(V3), P_sk_c7-{F}(V4), P_sk_c6-{F}(V5), P_multiply-{F}(V0,V5,V6), P_sk_c5-{F}(V7), P_inverse-{F}(V1,V8), P_multiply-{F}(V0,V3,V9), V9 == V0, P_multiply-{F}(V0,V7,V10), P_multiply-{F}(V11,V10,V7), P_multiply-{F}(V11,V0,V12), P_multiply-{F}(V12,V7,V13), P_multiply-{F}(V2,V14,V1), P_multiply-{F}(V14,V2,V4) | P_multiply-{T}(V2,V4,V0)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1783: mergings( V2 == V3, V3 == V9; #1780 ), references = 1, size of lhs = 15:
% 18.68/18.86 P_sk_c8-{F}(V0), P_multiply-{F}(V0,V0,V0), P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_sk_c4-{F}(V3), P_sk_c7-{F}(V4), P_multiply-{F}(V0,V3,V5), V5 == V0, P_multiply-{F}(V2,V6,V1), P_multiply-{F}(V6,V2,V4), P_multiply-{F}(V7,V2,V8), P_multiply-{F}(V8,V4,V9), P_multiply-{F}(V7,V0,V10), V9 == V10 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1794: mergings( V3 == V8; #1790 ), references = 3, size of lhs = 13:
% 18.68/18.86 P_sk_c1-{F}(V0), P_sk_c2-{F}(V1), P_sk_c8-{F}(V2), P_sk_c4-{F}(V3), P_inverse-{F}(V3,V4), P_sk_c7-{F}(V5), P_identity-{F}(V6), P_multiply-{F}(V6,V1,V7), P_multiply-{F}(V2,V8,V0), P_multiply-{F}(V9,V7,V10), P_multiply-{F}(V9,V6,V11), P_multiply-{F}(V10,V8,V12), V12 == V11 | P_multiply-{T}(V3,V5,V2)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1813: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V8, V6 == V14, V8 == V12; #1805 ), references = 2, size of lhs = 12:
% 18.68/18.86 P_sk_c1-{F}(V0), P_sk_c2-{F}(V1), P_sk_c8-{F}(V2), P_identity-{F}(V2), P_multiply-{F}(V3,V2,V2), P_sk_c4-{F}(V4), P_multiply-{F}(V2,V1,V4), P_sk_c7-{F}(V5), P_multiply-{F}(V2,V4,V6), P_multiply-{F}(V3,V6,V4), P_multiply-{F}(V2,V7,V0), P_multiply-{F}(V2,V5,V8) | P_inverse-{T}(V4,V0), P_inverse-{T}(V4,V8)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1818: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V11; #1806 ), references = 1, size of lhs = 15:
% 18.68/18.86 P_sk_c1-{F}(V0), P_sk_c2-{F}(V1), P_sk_c8-{F}(V2), P_sk_c4-{F}(V3), P_sk_c7-{F}(V4), P_multiply-{F}(V2,V5,V0), P_identity-{F}(V6), P_multiply-{F}(V6,V1,V3), P_multiply-{F}(V7,V6,V6), P_multiply-{F}(V2,V8,V3), P_multiply-{F}(V6,V8,V3), P_multiply-{F}(V6,V3,V9), P_multiply-{F}(V7,V9,V3), P_multiply-{F}(V6,V5,V10), P_multiply-{F}(V6,V4,V11) | P_inverse-{T}(V3,V10), P_inverse-{T}(V3,V11)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1856: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #1851 ), references = 1, size of lhs = 26:
% 18.68/18.86 P_identity-{F}(V0), P_multiply-{F}(V0,V0,V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), V6 == V4, P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), P_sk_c6-{F}(V9), P_multiply-{F}(V4,V9,V10), P_sk_c5-{F}(V11), P_multiply-{F}(V11,V4,V12), P_inverse-{F}(V11,V13), P_inverse-{F}(V1,V14), P_multiply-{F}(V2,V7,V15), P_sk_c3-{F}(V16), P_multiply-{F}(V0,V16,V17), P_multiply-{F}(V16,V7,V18), V18 == V4, P_multiply-{F}(V19,V0,V19), P_multiply-{F}(V20,V19,V21), P_multiply-{F}(V21,V17,V22), P_multiply-{F}(V22,V23,V20) | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1860: exists( #31, #18 ), references = 1, size of lhs = 18:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), V6 == V4, P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), P_sk_c6-{F}(V9), P_multiply-{F}(V4,V9,V10), P_sk_c5-{F}(V11), P_multiply-{F}(V11,V4,V12), P_inverse-{F}(V11,V13), P_inverse-{F}(V1,V14), P_multiply-{F}(V2,V7,V15), P_sk_c3-{F}(V16) | P_inverse-{T}(V16,V4)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1861: exists( #31, #20 ), references = 1, size of lhs = 18:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), P_sk_c6-{F}(V9), P_multiply-{F}(V4,V9,V10), V10 == V7, P_sk_c5-{F}(V11), P_multiply-{F}(V11,V4,V12), P_inverse-{F}(V11,V13), P_inverse-{F}(V1,V14), P_multiply-{F}(V2,V7,V15), P_sk_c3-{F}(V16) | P_inverse-{T}(V16,V4)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1867: mergings( V1 == V2, V2 == V17; #1864 ), references = 1, size of lhs = 17:
% 18.68/18.86 P_sk_c8-{F}(V0), P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c4-{F}(V4), P_inverse-{F}(V4,V5), V5 == V0, P_sk_c7-{F}(V6), P_multiply-{F}(V4,V6,V7), P_sk_c6-{F}(V8), P_multiply-{F}(V0,V8,V9), P_sk_c5-{F}(V10), P_multiply-{F}(V10,V0,V11), P_inverse-{F}(V10,V12), P_inverse-{F}(V1,V13), P_multiply-{F}(V2,V6,V14) | P_sk_c3-{T}(V0)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1877: exists( #31, #23 ), references = 2, size of lhs = 20:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), V6 == V4, P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), P_sk_c6-{F}(V9), P_multiply-{F}(V4,V9,V10), P_sk_c5-{F}(V11), P_multiply-{F}(V11,V4,V12), P_inverse-{F}(V1,V13), P_multiply-{F}(V2,V7,V14), P_sk_c3-{F}(V15), P_inverse-{F}(V15,V16), P_multiply-{F}(V15,V7,V17), V17 == V4 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1878: exists( #31, #25 ), references = 2, size of lhs = 20:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), P_sk_c6-{F}(V9), P_multiply-{F}(V4,V9,V10), V10 == V7, P_sk_c5-{F}(V11), P_multiply-{F}(V11,V4,V12), P_inverse-{F}(V1,V13), P_multiply-{F}(V2,V7,V14), P_sk_c3-{F}(V15), P_inverse-{F}(V15,V16), P_multiply-{F}(V15,V7,V17), V17 == V4 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1907: mergings( V2 == V3, V3 == V4, V4 == V5; #1901 ), references = 2, size of lhs = 23:
% 18.68/18.86 P_sk_c8-{F}(V0), P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c4-{F}(V4), P_inverse-{F}(V4,V5), V5 == V0, P_sk_c7-{F}(V6), P_multiply-{F}(V4,V6,V7), P_sk_c6-{F}(V8), P_multiply-{F}(V0,V8,V9), P_sk_c5-{F}(V10), P_inverse-{F}(V1,V11), P_multiply-{F}(V2,V6,V12), P_sk_c3-{F}(V13), P_inverse-{F}(V13,V14), P_multiply-{F}(V13,V6,V15), V15 == V0, P_multiply-{F}(V0,V16,V17), P_multiply-{F}(V18,V17,V10), P_multiply-{F}(V18,V0,V19), P_multiply-{F}(V19,V16,V20) | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1911: mergings( V2 == V3, V3 == V4, V4 == V5; #1902 ), references = 1, size of lhs = 23:
% 18.68/18.86 P_sk_c8-{F}(V0), P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c4-{F}(V4), P_inverse-{F}(V4,V5), P_sk_c7-{F}(V6), P_multiply-{F}(V4,V6,V7), P_sk_c6-{F}(V8), P_multiply-{F}(V0,V8,V9), V9 == V6, P_sk_c5-{F}(V10), P_inverse-{F}(V1,V11), P_multiply-{F}(V2,V6,V12), P_sk_c3-{F}(V13), P_inverse-{F}(V13,V14), P_multiply-{F}(V13,V6,V15), V15 == V0, P_multiply-{F}(V0,V16,V17), P_multiply-{F}(V18,V17,V10), P_multiply-{F}(V18,V0,V19), P_multiply-{F}(V19,V16,V20) | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1915: mergings( V2 == V3, V3 == V4, V4 == V5; #1903 ), references = 2, size of lhs = 23:
% 18.68/18.86 P_sk_c8-{F}(V0), P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c4-{F}(V4), P_inverse-{F}(V4,V5), V5 == V0, P_sk_c7-{F}(V6), P_multiply-{F}(V4,V6,V7), P_sk_c6-{F}(V8), P_multiply-{F}(V0,V8,V9), P_sk_c5-{F}(V10), P_inverse-{F}(V1,V11), P_multiply-{F}(V2,V6,V12), P_sk_c3-{F}(V13), P_inverse-{F}(V13,V14), P_multiply-{F}(V13,V6,V15), V15 == V0, P_multiply-{F}(V0,V10,V16), P_multiply-{F}(V17,V16,V10), P_multiply-{F}(V17,V0,V18), P_multiply-{F}(V18,V10,V19) | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1919: exists( #31, #18 ), references = 3, size of lhs = 19:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), V6 == V4, P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), P_sk_c6-{F}(V9), P_multiply-{F}(V4,V9,V10), P_sk_c5-{F}(V11), P_multiply-{F}(V11,V4,V12), P_inverse-{F}(V1,V13), P_multiply-{F}(V2,V7,V14), P_sk_c3-{F}(V15), P_inverse-{F}(V15,V16), V16 == V4 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1920: exists( #31, #20 ), references = 2, size of lhs = 19:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), P_sk_c7-{F}(V7), P_multiply-{F}(V5,V7,V8), P_sk_c6-{F}(V9), P_multiply-{F}(V4,V9,V10), V10 == V7, P_sk_c5-{F}(V11), P_multiply-{F}(V11,V4,V12), P_inverse-{F}(V1,V13), P_multiply-{F}(V2,V7,V14), P_sk_c3-{F}(V15), P_inverse-{F}(V15,V16), V16 == V4 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1949: mergings( V2 == V3, V3 == V4, V4 == V5; #1943 ), references = 2, size of lhs = 22:
% 18.68/18.86 P_sk_c8-{F}(V0), P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c4-{F}(V4), P_inverse-{F}(V4,V5), V5 == V0, P_sk_c7-{F}(V6), P_multiply-{F}(V4,V6,V7), P_sk_c6-{F}(V8), P_multiply-{F}(V0,V8,V9), P_sk_c5-{F}(V10), P_inverse-{F}(V1,V11), P_multiply-{F}(V2,V6,V12), P_sk_c3-{F}(V13), P_inverse-{F}(V13,V14), V14 == V0, P_multiply-{F}(V0,V15,V16), P_multiply-{F}(V17,V16,V10), P_multiply-{F}(V17,V0,V18), P_multiply-{F}(V18,V15,V19) | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1953: mergings( V2 == V3, V3 == V4, V4 == V5; #1944 ), references = 2, size of lhs = 22:
% 18.68/18.86 P_sk_c8-{F}(V0), P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c4-{F}(V4), P_inverse-{F}(V4,V5), P_sk_c7-{F}(V6), P_multiply-{F}(V4,V6,V7), P_sk_c6-{F}(V8), P_multiply-{F}(V0,V8,V9), V9 == V6, P_sk_c5-{F}(V10), P_inverse-{F}(V1,V11), P_multiply-{F}(V2,V6,V12), P_sk_c3-{F}(V13), P_inverse-{F}(V13,V14), V14 == V0, P_multiply-{F}(V0,V15,V16), P_multiply-{F}(V17,V16,V10), P_multiply-{F}(V17,V0,V18), P_multiply-{F}(V18,V15,V19) | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1957: mergings( V2 == V3, V3 == V4, V4 == V5; #1945 ), references = 2, size of lhs = 22:
% 18.68/18.86 P_sk_c8-{F}(V0), P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c4-{F}(V4), P_inverse-{F}(V4,V5), V5 == V0, P_sk_c7-{F}(V6), P_multiply-{F}(V4,V6,V7), P_sk_c6-{F}(V8), P_multiply-{F}(V0,V8,V9), P_sk_c5-{F}(V10), P_inverse-{F}(V1,V11), P_multiply-{F}(V2,V6,V12), P_sk_c3-{F}(V13), P_inverse-{F}(V13,V14), V14 == V0, P_multiply-{F}(V0,V10,V15), P_multiply-{F}(V16,V15,V10), P_multiply-{F}(V16,V0,V17), P_multiply-{F}(V17,V10,V18) | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1961: exists( #31, #1949 ), references = 2, size of lhs = 20:
% 18.68/18.86 P_sk_c8-{F}(V0), P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c4-{F}(V4), P_inverse-{F}(V4,V5), V5 == V0, P_sk_c7-{F}(V6), P_multiply-{F}(V4,V6,V7), P_sk_c6-{F}(V8), P_multiply-{F}(V0,V8,V9), P_sk_c5-{F}(V10), P_inverse-{F}(V1,V11), P_multiply-{F}(V2,V6,V12), P_sk_c3-{F}(V13), P_multiply-{F}(V0,V14,V15), P_multiply-{F}(V16,V15,V10), P_multiply-{F}(V16,V0,V17), P_multiply-{F}(V17,V14,V18) | P_inverse-{T}(V13,V0)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1962: exists( #31, #1953 ), references = 1, size of lhs = 20:
% 18.68/18.86 P_sk_c8-{F}(V0), P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c4-{F}(V4), P_inverse-{F}(V4,V5), P_sk_c7-{F}(V6), P_multiply-{F}(V4,V6,V7), P_sk_c6-{F}(V8), P_multiply-{F}(V0,V8,V9), V9 == V6, P_sk_c5-{F}(V10), P_inverse-{F}(V1,V11), P_multiply-{F}(V2,V6,V12), P_sk_c3-{F}(V13), P_multiply-{F}(V0,V14,V15), P_multiply-{F}(V16,V15,V10), P_multiply-{F}(V16,V0,V17), P_multiply-{F}(V17,V14,V18) | P_inverse-{T}(V13,V0)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1963: exists( #31, #1957 ), references = 1, size of lhs = 20:
% 18.68/18.86 P_sk_c8-{F}(V0), P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c4-{F}(V4), P_inverse-{F}(V4,V5), V5 == V0, P_sk_c7-{F}(V6), P_multiply-{F}(V4,V6,V7), P_sk_c6-{F}(V8), P_multiply-{F}(V0,V8,V9), P_sk_c5-{F}(V10), P_inverse-{F}(V1,V11), P_multiply-{F}(V2,V6,V12), P_sk_c3-{F}(V13), P_multiply-{F}(V0,V10,V14), P_multiply-{F}(V15,V14,V10), P_multiply-{F}(V15,V0,V16), P_multiply-{F}(V16,V10,V17) | P_inverse-{T}(V13,V0)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #1969: mergings( V1 == V14; #1967 ), references = 1, size of lhs = 19:
% 18.68/18.86 P_sk_c8-{F}(V0), P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c4-{F}(V4), P_inverse-{F}(V4,V5), V5 == V0, P_sk_c7-{F}(V6), P_multiply-{F}(V4,V6,V7), P_sk_c6-{F}(V8), P_multiply-{F}(V0,V8,V9), P_sk_c5-{F}(V10), P_inverse-{F}(V1,V11), P_multiply-{F}(V2,V6,V12), P_multiply-{F}(V0,V13,V14), P_multiply-{F}(V15,V14,V10), P_multiply-{F}(V15,V0,V16), P_multiply-{F}(V16,V13,V17) | P_sk_c3-{T}(V0)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #2003: mergings( V19 == V20, V21 == V32, V1 == V10, V8 == V17, V10 == V23, V17 == V30, V2 == V11, V3 == V12, V11 == V24, V12 == V25, V4 == V13, V5 == V14, V13 == V26, V14 == V27, V6 == V15, V7 == V16, V9 == V18, V15 == V28, V16 == V29, V18 == V31, V22 == V33; #1979 ), references = 3, size of lhs = 16:
% 18.68/18.86 P_sk_c8-{F}(V0), P_identity-{F}(V0), P_multiply-{F}(V0,V0,V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c4-{F}(V4), P_inverse-{F}(V4,V5), V5 == V0, P_sk_c7-{F}(V6), P_multiply-{F}(V4,V6,V7), P_inverse-{F}(V1,V8), P_multiply-{F}(V2,V6,V9), P_inverse-{F}(V0,V10), P_multiply-{F}(V0,V6,V11), V11 == V0 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #2025: mergings( V19 == V20, V21 == V32, V1 == V10, V8 == V17, V10 == V23, V17 == V30, V2 == V11, V3 == V12, V11 == V24, V12 == V25, V4 == V13, V5 == V14, V13 == V26, V14 == V27, V6 == V15, V7 == V16, V9 == V18, V15 == V28, V16 == V29, V18 == V31, V22 == V33; #1981 ), references = 2, size of lhs = 16:
% 18.68/18.86 P_sk_c8-{F}(V0), P_identity-{F}(V0), P_multiply-{F}(V0,V0,V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c4-{F}(V4), P_inverse-{F}(V4,V5), V5 == V0, P_sk_c7-{F}(V6), P_multiply-{F}(V4,V6,V7), P_inverse-{F}(V1,V8), P_multiply-{F}(V2,V6,V9), P_inverse-{F}(V0,V10), P_multiply-{F}(V0,V6,V11), V11 == V0 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #2056: mergings( V0 == V1, V1 == V2, V2 == V3, V3 == V6, V4 == V13, V6 == V11, V11 == V15, V12 == V26, V15 == V16, V16 == V17, V25 == V26, V17 == V19, V13 == V24, V19 == V20, V22 == V24, V21 == V23, V5 == V8, V8 == V26, V9 == V24, V14 == V24; #2034 ), references = 1, size of lhs = 16:
% 18.68/18.86 P_sk_c2-{F}(V0), P_sk_c4-{F}(V0), P_multiply-{F}(V1,V0,V0), P_sk_c1-{F}(V2), P_sk_c7-{F}(V2), P_sk_c8-{F}(V3), V2 == V3, P_multiply-{F}(V1,V3,V3), P_identity-{F}(V3), P_multiply-{F}(V3,V3,V3), P_multiply-{F}(V3,V2,V2), P_multiply-{F}(V3,V0,V0), P_multiply-{F}(V3,V4,V2), P_multiply-{F}(V5,V3,V3), P_multiply-{F}(V5,V0,V0), P_inverse-{F}(V3,V6) | P_inverse-{T}(V0,V2)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #2077: mergings( V0 == V1, V1 == V2, V2 == V3, V3 == V6, V4 == V13, V6 == V11, V11 == V15, V12 == V26, V15 == V16, V16 == V17, V25 == V26, V17 == V19, V13 == V24, V19 == V20, V22 == V24, V21 == V23, V5 == V8, V8 == V26, V9 == V24, V14 == V24; #2035 ), references = 1, size of lhs = 16:
% 18.68/18.86 P_sk_c2-{F}(V0), P_sk_c4-{F}(V0), P_multiply-{F}(V1,V0,V0), P_sk_c1-{F}(V2), P_sk_c7-{F}(V2), P_sk_c8-{F}(V3), V2 == V3, P_multiply-{F}(V1,V3,V3), P_identity-{F}(V3), P_multiply-{F}(V3,V3,V3), P_multiply-{F}(V3,V2,V2), P_multiply-{F}(V3,V0,V0), P_multiply-{F}(V3,V4,V2), P_multiply-{F}(V5,V3,V3), P_multiply-{F}(V5,V0,V0), P_inverse-{F}(V3,V6) | P_inverse-{T}(V0,V2)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #2090: mergings( V2 == V9; #2088 ), references = 2, size of lhs = 14:
% 18.68/18.86 P_sk_c1-{F}(V0), P_sk_c2-{F}(V1), P_sk_c8-{F}(V2), P_identity-{F}(V2), P_multiply-{F}(V3,V2,V2), P_sk_c4-{F}(V4), P_multiply-{F}(V2,V1,V4), P_sk_c7-{F}(V5), P_multiply-{F}(V2,V4,V6), P_multiply-{F}(V3,V6,V4), P_multiply-{F}(V2,V7,V0), P_multiply-{F}(V2,V5,V8), P_multiply-{F}(V8,V4,V9), V9 == V2 | P_inverse-{T}(V4,V0)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #2113: exists( #29, #2003 ), references = 2, size of lhs = 14:
% 18.68/18.86 P_sk_c8-{F}(V0), P_identity-{F}(V0), P_multiply-{F}(V0,V0,V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_sk_c4-{F}(V2), P_multiply-{F}(V1,V2,V3), P_inverse-{F}(V2,V4), V4 == V0, P_sk_c7-{F}(V5), P_inverse-{F}(V1,V6), P_inverse-{F}(V0,V7), P_multiply-{F}(V0,V5,V8), V8 == V0 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #2135: mergings( V2 == V3, V3 == V4, V4 == V7, V5 == V13, V7 == V11; #2128 ), references = 1, size of lhs = 12:
% 18.68/18.86 P_sk_c1-{F}(V0), P_sk_c2-{F}(V1), P_sk_c8-{F}(V2), P_identity-{F}(V2), P_multiply-{F}(V3,V2,V2), P_sk_c4-{F}(V4), P_multiply-{F}(V2,V1,V4), P_sk_c7-{F}(V5), P_multiply-{F}(V2,V4,V6), P_multiply-{F}(V3,V6,V4), P_multiply-{F}(V2,V7,V0), P_multiply-{F}(V2,V5,V8) | P_inverse-{T}(V4,V0), P_inverse-{T}(V4,V8)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #2139: mergings( V2 == V3, V3 == V4, V4 == V10; #2129 ), references = 1, size of lhs = 15:
% 18.68/18.86 P_sk_c1-{F}(V0), P_sk_c2-{F}(V1), P_sk_c8-{F}(V2), P_sk_c4-{F}(V3), P_sk_c7-{F}(V4), P_multiply-{F}(V2,V5,V0), P_identity-{F}(V6), P_multiply-{F}(V6,V1,V3), P_multiply-{F}(V7,V6,V6), P_multiply-{F}(V2,V8,V3), P_multiply-{F}(V6,V8,V3), P_multiply-{F}(V6,V3,V9), P_multiply-{F}(V7,V9,V3), P_multiply-{F}(V6,V5,V10), P_multiply-{F}(V6,V4,V11) | P_inverse-{T}(V3,V10), P_inverse-{T}(V3,V11)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #2160: mergings( V0 == V1, V1 == V2, V2 == V5, V3 == V12, V5 == V10, V10 == V14, V11 == V23, V14 == V15, V15 == V16, V22 == V23, V16 == V18, V4 == V7, V7 == V23, V8 == V19, V13 == V21; #2144 ), references = 1, size of lhs = 18:
% 18.68/18.86 P_sk_c2-{F}(V0), P_sk_c4-{F}(V0), P_multiply-{F}(V1,V0,V0), P_sk_c1-{F}(V2), P_sk_c8-{F}(V3), V2 == V3, P_multiply-{F}(V1,V3,V3), P_multiply-{F}(V3,V2,V2), P_identity-{F}(V3), P_multiply-{F}(V3,V3,V3), P_multiply-{F}(V3,V0,V0), P_multiply-{F}(V3,V4,V2), P_multiply-{F}(V5,V3,V3), P_sk_c7-{F}(V6), P_inverse-{F}(V3,V7), P_multiply-{F}(V3,V6,V8), V8 == V3, P_multiply-{F}(V5,V0,V9) | P_inverse-{T}(V0,V8)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #2167: mergings( V1 == V2, V2 == V8; #2164 ), references = 1, size of lhs = 13:
% 18.68/18.86 P_sk_c8-{F}(V0), P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_sk_c4-{F}(V3), P_sk_c7-{F}(V4), P_multiply-{F}(V3,V4,V5), P_multiply-{F}(V0,V2,V6), P_multiply-{F}(V0,V7,V1), P_multiply-{F}(V8,V6,V9), P_multiply-{F}(V8,V0,V10), P_multiply-{F}(V9,V7,V11), V11 == V10 | P_sk_c6-{T}(V4)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #2171: exists( #29, #3 ), references = 2, size of lhs = 7:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_sk_c8-{F}(V3), P_sk_c4-{F}(V4), P_inverse-{F}(V4,V5), V5 == V3 | P_multiply-{T}(V1,V2,V3)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #2200: mergings( V1 == V2, V2 == V5, V5 == V9, V9 == V12, V10 == V19, V12 == V13, V13 == V14, V18 == V19, V14 == V16, V3 == V11, V16 == V21, V19 == V30, V21 == V22, V22 == V23, V23 == V27, V11 == V24, V4 == V7, V7 == V30, V30 == V25, V27 == V26, V24 == V31; #2178 ), references = 1, size of lhs = 18:
% 18.68/18.86 P_sk_c4-{F}(V0), P_sk_c2-{F}(V0), P_multiply-{F}(V1,V0,V0), P_sk_c1-{F}(V2), P_sk_c8-{F}(V3), V2 == V3, P_multiply-{F}(V1,V3,V3), P_multiply-{F}(V3,V2,V2), P_multiply-{F}(V3,V3,V3), P_identity-{F}(V3), P_multiply-{F}(V3,V0,V0), P_multiply-{F}(V4,V3,V3), P_multiply-{F}(V3,V5,V2), P_inverse-{F}(V3,V6), P_multiply-{F}(V4,V0,V7), P_multiply-{F}(V8,V3,V3), P_multiply-{F}(V8,V0,V0), P_multiply-{F}(V3,V9,V2) | P_sk_c7-{T}(V3), P_sk_c7-{T}(V2)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #2253: mergings( V0 == V1, V1 == V4, V4 == V8, V8 == V11, V9 == V18, V11 == V12, V12 == V13, V17 == V18, V13 == V15, V2 == V10, V15 == V20, V18 == V29, V20 == V21, V21 == V22, V22 == V25, V23 == V30, V25 == V26, V26 == V33, V33 == V38, V36 == V39, V38 == V40, V39 == V49, V40 == V41, V41 == V42, V42 == V57, V57 == V62, V60 == V63, V62 == V64, V63 == V73, V64 == V65, V65 == V66, V10 == V30, V30 == V31, V31 == V43, V43 == V55, V55 == V67, V3 == V6, V6 == V29, V29 == V24, V24 == V32, V32 == V35, V35 == V49, V49 == V44, V44 == V56, V56 == V59, V59 == V73, V73 == V68; #2205 ), references = 1, size of lhs = 51:
% 18.68/18.86 P_sk_c4-{F}(V0), P_sk_c2-{F}(V0), P_multiply-{F}(V1,V0,V0), P_multiply-{F}(V2,V0,V0), P_multiply-{F}(V3,V0,V0), P_multiply-{F}(V4,V0,V0), P_multiply-{F}(V5,V0,V0), P_sk_c8-{F}(V6), V0 == V6, P_multiply-{F}(V1,V6,V6), P_multiply-{F}(V2,V6,V6), P_multiply-{F}(V3,V6,V6), P_multiply-{F}(V5,V6,V6), P_multiply-{F}(V6,V6,V6), P_identity-{F}(V6), P_multiply-{F}(V6,V0,V0), P_multiply-{F}(V7,V6,V6), P_inverse-{F}(V6,V8), P_multiply-{F}(V7,V0,V9), P_inverse-{F}(V10,V6), P_multiply-{F}(V10,V6,V6), P_inverse-{F}(V11,V6), P_multiply-{F}(V11,V6,V6), P_inverse-{F}(V12,V6), P_multiply-{F}(V12,V6,V13), P_multiply-{F}(V6,V13,V6), P_multiply-{F}(V4,V6,V14), P_multiply-{F}(V14,V0,V15), P_sk_c1-{F}(V16), V16 == V6, P_multiply-{F}(V6,V16,V16), P_multiply-{F}(V6,V17,V16), P_multiply-{F}(V6,V18,V16), P_multiply-{F}(V6,V19,V16), P_multiply-{F}(V6,V20,V16), P_inverse-{F}(V21,V6), P_multiply-{F}(V21,V6,V6), P_inverse-{F}(V22,V6), P_multiply-{F}(V22,V6,V6), P_inverse-{F}(V23,V6), P_multiply-{F}(V23,V6,V24), P_multiply-{F}(V6,V24,V6), P_multiply-{F}(V25,V0,V0), P_multiply-{F}(V25,V6,V26), P_multiply-{F}(V26,V0,V27), P_multiply-{F}(V28,V6,V6), P_multiply-{F}(V29,V28,V6), P_inverse-{F}(V29,V28), P_multiply-{F}(V30,V6,V6), P_multiply-{F}(V31,V30,V6), P_inverse-{F}(V31,V30) | P_sk_c7-{T}(V16)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #2296: exists( #29, #2003 ), references = 1, size of lhs = 15:
% 18.68/18.86 P_sk_c8-{F}(V0), P_identity-{F}(V0), P_multiply-{F}(V0,V0,V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c4-{F}(V4), P_inverse-{F}(V4,V5), V5 == V0, P_sk_c7-{F}(V6), P_inverse-{F}(V1,V7), P_multiply-{F}(V2,V6,V8), P_inverse-{F}(V0,V9), P_multiply-{F}(V0,V6,V10), V10 == V0 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #2297: exists( #29, #2025 ), references = 1, size of lhs = 15:
% 18.68/18.86 P_sk_c8-{F}(V0), P_identity-{F}(V0), P_multiply-{F}(V0,V0,V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c4-{F}(V4), P_inverse-{F}(V4,V5), V5 == V0, P_sk_c7-{F}(V6), P_inverse-{F}(V1,V7), P_multiply-{F}(V2,V6,V8), P_inverse-{F}(V0,V9), P_multiply-{F}(V0,V6,V10), V10 == V0 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #2298: exists( #29, #1919 ), references = 1, size of lhs = 18:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_inverse-{F}(V5,V6), V6 == V4, P_sk_c7-{F}(V7), P_sk_c6-{F}(V8), P_multiply-{F}(V4,V8,V9), P_sk_c5-{F}(V10), P_multiply-{F}(V10,V4,V11), P_inverse-{F}(V1,V12), P_multiply-{F}(V2,V7,V13), P_sk_c3-{F}(V14), P_inverse-{F}(V14,V15), V15 == V4 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #2303: exists( #31, #2293 ), references = 2, size of lhs = 13:
% 18.68/18.86 P_sk_c8-{F}(V0), P_identity-{F}(V0), P_multiply-{F}(V0,V0,V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c4-{F}(V4), P_sk_c7-{F}(V5), P_inverse-{F}(V1,V6), P_multiply-{F}(V2,V5,V7), P_inverse-{F}(V0,V8), P_multiply-{F}(V0,V5,V9), V9 == V0 | P_inverse-{T}(V4,V0)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #2304: exists( #31, #2294 ), references = 1, size of lhs = 13:
% 18.68/18.86 P_sk_c8-{F}(V0), P_identity-{F}(V0), P_multiply-{F}(V0,V0,V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c4-{F}(V4), P_sk_c7-{F}(V5), P_inverse-{F}(V1,V6), P_multiply-{F}(V2,V5,V7), P_inverse-{F}(V0,V8), P_multiply-{F}(V0,V5,V9), V9 == V0 | P_inverse-{T}(V4,V0)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #2321: exists( #29, #535 ), references = 2, size of lhs = 11:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_sk_c8-{F}(V3), P_sk_c4-{F}(V4), P_sk_c7-{F}(V5), P_sk_c6-{F}(V6), P_multiply-{F}(V3,V6,V7), V7 == V5, P_inverse-{F}(V1,V8), V8 == V2 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #2322: exists( #29, #497 ), references = 2, size of lhs = 12:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_sk_c8-{F}(V3), P_sk_c4-{F}(V4), P_sk_c7-{F}(V5), P_sk_c6-{F}(V6), P_multiply-{F}(V3,V6,V7), V7 == V5, P_sk_c5-{F}(V8), P_inverse-{F}(V1,V9), V9 == V2 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #2325: exists( #31, #2318 ), references = 3, size of lhs = 9:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_sk_c8-{F}(V3), P_sk_c4-{F}(V4), P_sk_c7-{F}(V5), P_sk_c6-{F}(V6), P_multiply-{F}(V3,V6,V7), V7 == V5 | P_inverse-{T}(V1,V2)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #2336: exists( #29, #968 ), references = 1, size of lhs = 12:
% 18.68/18.86 P_sk_c8-{F}(V0), P_identity-{F}(V0), P_multiply-{F}(V0,V0,V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_sk_c4-{F}(V3), P_sk_c7-{F}(V4), P_inverse-{F}(V1,V5), P_multiply-{F}(V2,V4,V6), V6 == V0, P_multiply-{F}(V0,V3,V7), V7 == V0 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #2338: exists( #29, #2335 ), references = 4, size of lhs = 10:
% 18.68/18.86 P_sk_c8-{F}(V0), P_identity-{F}(V0), P_multiply-{F}(V0,V0,V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_sk_c4-{F}(V3), P_sk_c7-{F}(V4), P_inverse-{F}(V1,V5), P_multiply-{F}(V0,V3,V6), V6 == V0 | P_multiply-{T}(V2,V4,V0)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #2353: mergings( V2 == V7; #2350 ), references = 3, size of lhs = 13:
% 18.68/18.86 P_sk_c8-{F}(V0), P_multiply-{F}(V0,V0,V0), P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_sk_c4-{F}(V3), P_sk_c7-{F}(V4), P_multiply-{F}(V0,V3,V5), V5 == V0, P_multiply-{F}(V6,V2,V7), P_multiply-{F}(V7,V4,V8), P_multiply-{F}(V6,V0,V9), V8 == V9 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #2364: mergings( V2 == V3, V3 == V4, V4 == V5; #2360 ), references = 1, size of lhs = 13:
% 18.68/18.86 P_sk_c8-{F}(V0), P_multiply-{F}(V0,V0,V0), P_identity-{F}(V0), P_multiply-{F}(V1,V0,V0), P_sk_c1-{F}(V2), P_sk_c2-{F}(V3), P_sk_c4-{F}(V4), P_sk_c7-{F}(V5), P_multiply-{F}(V0,V4,V6), V6 == V0, P_multiply-{F}(V0,V3,V7), P_multiply-{F}(V1,V7,V3), P_multiply-{F}(V0,V5,V8) | P_inverse-{T}(V3,V8)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #2387: mergings( V1 == V2, V2 == V7, V7 == V8; #2382 ), references = 1, size of lhs = 10:
% 18.68/18.86 P_sk_c8-{F}(V0), P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_sk_c4-{F}(V3), P_sk_c7-{F}(V4), P_multiply-{F}(V5,V2,V6), P_multiply-{F}(V6,V1,V7), P_multiply-{F}(V5,V0,V8), V7 == V8 | P_sk_c6-{T}(V4)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #2392: mergings( V1 == V2, V2 == V7, V7 == V8, V4 == V10; #2383 ), references = 1, size of lhs = 11:
% 18.68/18.86 P_sk_c8-{F}(V0), P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_sk_c4-{F}(V3), P_sk_c7-{F}(V4), P_multiply-{F}(V0,V5,V2), P_multiply-{F}(V6,V2,V7), P_multiply-{F}(V6,V0,V8), P_multiply-{F}(V7,V1,V9), V9 == V8 | P_sk_c6-{T}(V4)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #2415: exists( #31, #3 ), references = 1, size of lhs = 7:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), V3 == V4, P_sk_c4-{F}(V5) | P_inverse-{T}(V5,V4)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #2416: exists( #31, #529 ), references = 1, size of lhs = 9:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_sk_c7-{F}(V6), P_inverse-{F}(V1,V7), V7 == V2 | P_inverse-{T}(V5,V4)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #2417: exists( #31, #530 ), references = 1, size of lhs = 10:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), P_sk_c8-{F}(V4), P_sk_c4-{F}(V5), P_sk_c7-{F}(V6), P_sk_c6-{F}(V7), P_inverse-{F}(V1,V8), V8 == V2 | P_inverse-{T}(V5,V4)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #2421: mergings( V3 == V6; #2419 ), references = 1, size of lhs = 7:
% 18.68/18.86 P_sk_c1-{F}(V0), P_sk_c2-{F}(V1), P_sk_c8-{F}(V2), P_sk_c4-{F}(V3), P_identity-{F}(V4), P_multiply-{F}(V2,V3,V5), V5 == V4 | P_multiply-{T}(V0,V1,V2)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #2432: mergings( V1 == V2; #2428 ), references = 1, size of lhs = 10:
% 18.68/18.86 P_sk_c8-{F}(V0), P_multiply-{F}(V0,V0,V0), P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_sk_c4-{F}(V3), P_multiply-{F}(V0,V3,V4), V4 == V0, P_multiply-{F}(V5,V2,V0), P_multiply-{F}(V5,V0,V6) | P_sk_c7-{T}(V6)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #2435: mergings( V1 == V2, V2 == V8; #2429 ), references = 1, size of lhs = 11:
% 18.68/18.86 P_sk_c8-{F}(V0), P_multiply-{F}(V0,V0,V0), P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_sk_c4-{F}(V3), P_inverse-{F}(V1,V4), P_multiply-{F}(V0,V3,V5), V5 == V0, P_multiply-{F}(V6,V2,V0), P_multiply-{F}(V6,V0,V7) | P_sk_c7-{T}(V7)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #2439: mergings( V1 == V2, V2 == V8, V4 == V10; #2430 ), references = 1, size of lhs = 12:
% 18.68/18.86 P_sk_c8-{F}(V0), P_multiply-{F}(V0,V0,V0), P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_sk_c4-{F}(V3), P_inverse-{F}(V1,V4), P_multiply-{F}(V0,V3,V5), V5 == V0, P_multiply-{F}(V0,V6,V2), P_multiply-{F}(V7,V2,V0), P_multiply-{F}(V7,V0,V8) | P_sk_c7-{T}(V8)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #2458: mergings( V9 == V14, V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V7, V13 == V15, V7 == V12, V6 == V14; #2448 ), references = 3, size of lhs = 11:
% 18.68/18.86 P_sk_c8-{F}(V0), P_multiply-{F}(V0,V0,V0), P_identity-{F}(V0), P_multiply-{F}(V1,V0,V0), P_sk_c1-{F}(V2), V2 == V0, P_multiply-{F}(V0,V2,V2), P_sk_c2-{F}(V3), P_inverse-{F}(V0,V4), P_multiply-{F}(V0,V3,V5), P_multiply-{F}(V1,V5,V3) | P_sk_c4-{T}(V0)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #2488: mergings( V8 == V13, V6 == V42, V1 == V25, V0 == V2, V2 == V3, V3 == V4, V4 == V11, V11 == V42, V14 == V12, V42 == V25, V25 == V21, V21 == V38, V10 == V19, V19 == V24, V24 == V36, V36 == V41, V5 == V13, V13 == V15, V15 == V22, V22 == V32, V32 == V39, V9 == V18, V12 == V20, V18 == V23, V23 == V35, V20 == V37, V35 == V40; #2460 ), references = 1, size of lhs = 39:
% 18.68/18.86 P_sk_c8-{F}(V0), P_identity-{F}(V0), P_multiply-{F}(V0,V0,V0), P_multiply-{F}(V1,V0,V0), P_multiply-{F}(V2,V0,V0), P_multiply-{F}(V3,V0,V0), P_inverse-{F}(V4,V0), P_multiply-{F}(V4,V0,V0), P_inverse-{F}(V5,V0), P_multiply-{F}(V5,V0,V0), P_inverse-{F}(V6,V0), P_multiply-{F}(V6,V0,V7), P_multiply-{F}(V0,V7,V0), P_multiply-{F}(V8,V0,V0), P_multiply-{F}(V9,V0,V0), P_sk_c1-{F}(V10), V10 == V0, P_multiply-{F}(V0,V10,V10), P_sk_c2-{F}(V11), P_multiply-{F}(V0,V11,V12), P_multiply-{F}(V1,V12,V11), P_multiply-{F}(V2,V12,V11), P_multiply-{F}(V3,V12,V11), P_multiply-{F}(V8,V12,V11), P_multiply-{F}(V9,V12,V11), P_inverse-{F}(V0,V13), P_inverse-{F}(V14,V0), P_multiply-{F}(V14,V0,V0), P_inverse-{F}(V15,V0), P_multiply-{F}(V15,V0,V0), P_inverse-{F}(V16,V0), P_multiply-{F}(V16,V0,V17), P_multiply-{F}(V0,V17,V0), P_multiply-{F}(V18,V0,V0), P_multiply-{F}(V19,V18,V0), P_inverse-{F}(V19,V18), P_multiply-{F}(V20,V0,V0), P_multiply-{F}(V21,V20,V0), P_inverse-{F}(V21,V20) | P_sk_c4-{T}(V0)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #2503: mergings( V2 == V6, V3 == V5; #2499 ), references = 1, size of lhs = 9:
% 18.68/18.86 P_sk_c4-{F}(V0), P_sk_c1-{F}(V0), P_sk_c2-{F}(V1), P_sk_c8-{F}(V2), P_identity-{F}(V3), P_multiply-{F}(V3,V2,V2), P_multiply-{F}(V3,V4,V2), P_multiply-{F}(V3,V3,V5), V2 == V5 | P_inverse-{T}(V0,V2), P_inverse-{T}(V0,V1)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #2516: mergings( V1 == V11, V0 == V5, V5 == V8, V8 == V9, V3 == V11, V4 == V11; #2509 ), references = 1, size of lhs = 15:
% 18.68/18.86 P_identity-{F}(V0), P_multiply-{F}(V0,V0,V1), P_multiply-{F}(V2,V0,V0), P_sk_c1-{F}(V3), P_sk_c4-{F}(V3), P_sk_c2-{F}(V4), V4 == V1, V0 == V4, P_sk_c8-{F}(V4), P_multiply-{F}(V0,V4,V4), P_multiply-{F}(V0,V5,V4), P_inverse-{F}(V0,V6), V6 == V4, P_multiply-{F}(V0,V3,V7), P_multiply-{F}(V2,V7,V3) | P_inverse-{T}(V3,V4)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #2526: mergings( V0 == V5, V5 == V8, V8 == V9, V9 == V10, V7 == V10, V2 == V11, V3 == V12, V1 == V4, V4 == V13; #2508 ), references = 1, size of lhs = 16:
% 18.68/18.86 P_sk_c4-{F}(V0), P_sk_c1-{F}(V0), P_identity-{F}(V1), P_multiply-{F}(V1,V1,V1), P_sk_c2-{F}(V2), P_multiply-{F}(V1,V2,V3), V3 == V1, P_sk_c8-{F}(V3), P_multiply-{F}(V1,V3,V3), P_multiply-{F}(V1,V4,V3), P_inverse-{F}(V1,V5), V5 == V3, P_multiply-{F}(V1,V0,V6), P_multiply-{F}(V7,V6,V0), P_multiply-{F}(V7,V1,V8), V8 == V3 | P_inverse-{T}(V0,V2)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #2541: mergings( V2 == V3, V3 == V4, V4 == V5; #2537 ), references = 1, size of lhs = 11:
% 18.68/18.86 P_identity-{F}(V0), P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V3,V2,V4), P_multiply-{F}(V3,V0,V5), P_multiply-{F}(V0,V5,V6), P_multiply-{F}(V7,V4,V4), P_multiply-{F}(V5,V8,V7), P_multiply-{F}(V9,V0,V10), P_multiply-{F}(V9,V6,V11), P_multiply-{F}(V11,V8,V12), V12 == V10 | FALSE
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #2565: exists( #29, #2321 ), references = 1, size of lhs = 9:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_sk_c8-{F}(V3), P_sk_c4-{F}(V4), P_sk_c7-{F}(V5), P_sk_c6-{F}(V6), P_inverse-{F}(V1,V7), V7 == V2 | P_multiply-{T}(V3,V6,V5)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #2566: exists( #29, #2322 ), references = 1, size of lhs = 10:
% 18.68/18.86 P_identity-{F}(V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_sk_c8-{F}(V3), P_sk_c4-{F}(V4), P_sk_c7-{F}(V5), P_sk_c6-{F}(V6), P_sk_c5-{F}(V7), P_inverse-{F}(V1,V8), V8 == V2 | P_multiply-{T}(V3,V6,V5)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #2574: mergings( V2 == V7; #2570 ), references = 1, size of lhs = 9:
% 18.68/18.86 P_sk_c1-{F}(V0), P_sk_c2-{F}(V1), P_sk_c8-{F}(V2), P_sk_c7-{F}(V2), P_sk_c4-{F}(V3), P_sk_c6-{F}(V4), P_identity-{F}(V5), P_multiply-{F}(V5,V4,V6), V6 == V5 | P_inverse-{T}(V0,V1)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #2606: exists( #29, #411 ), references = 2, size of lhs = 8:
% 18.68/18.86 P_identity-{F}(V0), P_multiply-{F}(V0,V0,V0), P_sk_c1-{F}(V1), P_sk_c2-{F}(V2), P_sk_c8-{F}(V3), P_multiply-{F}(V0,V3,V3), P_inverse-{F}(V0,V4), V4 == V3 | P_multiply-{T}(V1,V2,V3)
% 18.68/18.86 (used 0 times, uses = {})
% 18.68/18.86
% 18.68/18.86 #2610: exists( #31, #716 ), references = 1, size of lhs = 9:
% 18.68/18.86 P_sk_c1-{F}(V0), P_sk_c2-{F}(V1), P_multiply-{F}(V0,V1,V2), P_sk_c8-{F}(V3), P_identity-{F}(V4), P_multiply-{F}(V4,V3,V3), P_multiply-{F}(V4,V5,V3), P_multiply-{F}(V4,V4,V6), V3 == V6 | P_inverse-{T}(V0,V1)
% 18.68/18.87 (used 0 times, uses = {})
% 18.68/18.87
% 18.68/18.87 #2619: mergings( V3 == V5, V5 == V6, V6 == V7; #2615 ), references = 1, size of lhs = 9:
% 18.68/18.87 P_sk_c1-{F}(V0), P_sk_c2-{F}(V1), P_identity-{F}(V2), P_multiply-{F}(V2,V2,V2), P_multiply-{F}(V2,V1,V1), P_inverse-{F}(V2,V3), P_multiply-{F}(V2,V0,V4), P_multiply-{F}(V5,V4,V0), P_multiply-{F}(V5,V2,V6) | P_sk_c8-{T}(V3), P_sk_c8-{T}(V2), P_sk_c8-{T}(V6)
% 18.68/18.87 (used 0 times, uses = {})
% 18.68/18.87
% 18.68/18.87 #2652: mergings( V2 == V4, V3 == V24, V4 == V45, V24 == V45, V45 == V5, V5 == V6, V6 == V14, V14 == V19, V19 == V23, V23 == V35, V35 == V40, V40 == V44, V0 == V10, V7 == V10, V10 == V12, V12 == V21, V21 == V31, V31 == V33, V33 == V42, V1 == V11, V11 == V15, V15 == V18, V18 == V20, V20 == V22, V22 == V32, V32 == V36, V36 == V39, V39 == V41, V41 == V43; #2622 ), references = 2, size of lhs = 42:
% 18.68/18.87 P_identity-{F}(V0), P_inverse-{F}(V0,V0), P_multiply-{F}(V0,V0,V0), P_multiply-{F}(V1,V0,V0), P_multiply-{F}(V2,V0,V0), P_multiply-{F}(V3,V0,V0), P_inverse-{F}(V4,V0), P_multiply-{F}(V4,V0,V0), P_inverse-{F}(V5,V0), P_multiply-{F}(V5,V0,V0), P_inverse-{F}(V6,V0), P_multiply-{F}(V6,V0,V7), P_multiply-{F}(V0,V7,V0), P_multiply-{F}(V8,V0,V0), P_multiply-{F}(V9,V0,V0), P_multiply-{F}(V10,V0,V0), P_sk_c1-{F}(V11), V11 == V0, P_multiply-{F}(V0,V11,V11), P_multiply-{F}(V12,V11,V11), P_multiply-{F}(V12,V0,V13), P_sk_c2-{F}(V14), P_multiply-{F}(V1,V14,V14), P_multiply-{F}(V2,V14,V14), P_multiply-{F}(V3,V14,V14), P_multiply-{F}(V8,V14,V14), P_multiply-{F}(V0,V14,V14), P_multiply-{F}(V9,V14,V14), P_multiply-{F}(V10,V14,V14), P_inverse-{F}(V15,V0), P_multiply-{F}(V15,V0,V0), P_inverse-{F}(V16,V0), P_multiply-{F}(V16,V0,V0), P_inverse-{F}(V17,V0), P_multiply-{F}(V17,V0,V18), P_multiply-{F}(V0,V18,V0), P_multiply-{F}(V19,V0,V0), P_multiply-{F}(V20,V19,V0), P_inverse-{F}(V20,V19), P_multiply-{F}(V21,V0,V0), P_multiply-{F}(V22,V21,V0), P_inverse-{F}(V22,V21) | P_sk_c8-{T}(V13)
% 18.68/18.87 (used 0 times, uses = {})
% 18.68/18.87
% 18.68/18.87 #2668: mergings( V3 == V18, V18 == V14, V14 == V15, V15 == V17, V1 == V12, V12 == V13, V13 == V16; #2660 ), references = 1, size of lhs = 38:
% 18.68/18.87 P_identity-{F}(V0), P_inverse-{F}(V0,V0), P_multiply-{F}(V0,V0,V0), P_multiply-{F}(V1,V0,V0), P_inverse-{F}(V2,V0), P_multiply-{F}(V2,V0,V0), P_inverse-{F}(V3,V0), P_multiply-{F}(V3,V0,V0), P_inverse-{F}(V4,V0), P_multiply-{F}(V4,V0,V5), P_multiply-{F}(V0,V5,V0), P_inverse-{F}(V6,V0), P_multiply-{F}(V6,V0,V0), P_inverse-{F}(V7,V0), P_multiply-{F}(V7,V0,V0), P_inverse-{F}(V8,V0), P_multiply-{F}(V8,V0,V9), P_multiply-{F}(V0,V9,V0), P_sk_c1-{F}(V10), V10 == V0, P_multiply-{F}(V1,V10,V10), P_multiply-{F}(V0,V10,V10), P_inverse-{F}(V11,V0), P_multiply-{F}(V11,V0,V0), P_inverse-{F}(V12,V0), P_multiply-{F}(V12,V0,V0), P_inverse-{F}(V13,V0), P_multiply-{F}(V13,V0,V14), P_multiply-{F}(V0,V14,V0), P_multiply-{F}(V15,V0,V0), P_multiply-{F}(V16,V15,V0), P_inverse-{F}(V16,V15), P_multiply-{F}(V17,V0,V0), P_multiply-{F}(V18,V17,V0), P_inverse-{F}(V18,V17), P_multiply-{F}(V19,V0,V0), P_multiply-{F}(V20,V19,V0), P_inverse-{F}(V20,V19) | FALSE
% 18.68/18.87 (used 0 times, uses = {})
% 18.68/18.87
% 18.68/18.87 #2675: mergings( V1 == V13, V13 == V10, V10 == V11, V11 == V12; #2670 ), references = 1, size of lhs = 33:
% 18.68/18.87 P_identity-{F}(V0), P_inverse-{F}(V0,V0), P_multiply-{F}(V0,V0,V0), P_inverse-{F}(V1,V0), P_multiply-{F}(V1,V0,V0), P_inverse-{F}(V2,V0), P_multiply-{F}(V2,V0,V0), P_inverse-{F}(V3,V0), P_multiply-{F}(V3,V0,V4), P_multiply-{F}(V0,V4,V0), P_inverse-{F}(V5,V0), P_multiply-{F}(V5,V0,V0), P_inverse-{F}(V6,V0), P_multiply-{F}(V6,V0,V0), P_inverse-{F}(V7,V0), P_multiply-{F}(V7,V0,V8), P_multiply-{F}(V0,V8,V0), P_inverse-{F}(V9,V0), P_multiply-{F}(V9,V0,V0), P_inverse-{F}(V10,V0), P_multiply-{F}(V10,V0,V0), P_inverse-{F}(V11,V0), P_multiply-{F}(V11,V0,V12), P_multiply-{F}(V0,V12,V0), P_multiply-{F}(V13,V0,V0), P_multiply-{F}(V14,V13,V0), P_inverse-{F}(V14,V13), P_multiply-{F}(V15,V0,V0), P_multiply-{F}(V16,V15,V0), P_inverse-{F}(V16,V15), P_multiply-{F}(V17,V0,V0), P_multiply-{F}(V18,V17,V0), P_inverse-{F}(V18,V17) | P_sk_c1-{T}(V0)
% 18.68/18.87 (used 0 times, uses = {})
% 18.68/18.87
% 18.68/18.87 #2700: exists( #30, #2694 ), references = 1, size of lhs = 0:
% 18.68/18.87 FALSE | FALSE
% 18.68/18.87 (used 0 times, uses = {})
% 18.68/18.87
% 18.68/18.87 number of learnt formulas = 214
% 18.68/18.87
% 18.68/18.87
% 18.68/18.87 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.68/18.87
% 18.68/18.87 randbase = 1
%------------------------------------------------------------------------------