TSTP Solution File: GRP223-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GRP223-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %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 : 600s
% DateTime : Sat Jul 16 11:46:24 EDT 2022
% Result : Unsatisfiable 0.18s 0.49s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP223-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12 % Command : run_spass %d %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 : 600
% 0.12/0.33 % DateTime : Tue Jun 14 07:26:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.49
% 0.18/0.49 SPASS V 3.9
% 0.18/0.49 SPASS beiseite: Proof found.
% 0.18/0.49 % SZS status Theorem
% 0.18/0.49 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.49 SPASS derived 1316 clauses, backtracked 387 clauses, performed 11 splits and kept 932 clauses.
% 0.18/0.49 SPASS allocated 63938 KBytes.
% 0.18/0.49 SPASS spent 0:00:00.15 on the problem.
% 0.18/0.49 0:00:00.04 for the input.
% 0.18/0.49 0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.49 0:00:00.01 for inferences.
% 0.18/0.49 0:00:00.00 for the backtracking.
% 0.18/0.49 0:00:00.08 for the reduction.
% 0.18/0.49
% 0.18/0.49
% 0.18/0.49 Here is a proof with depth 4, length 501 :
% 0.18/0.49 % SZS output start Refutation
% 0.18/0.49 1[0:Inp] || -> equal(inverse(sk_c1),sk_c9) equal(multiply(sk_c4,sk_c5),sk_c9)**.
% 0.18/0.49 2[0:Inp] || -> equal(inverse(sk_c4),sk_c5)** equal(inverse(sk_c1),sk_c9).
% 0.18/0.49 3[0:Inp] || -> equal(inverse(sk_c1),sk_c9) equal(multiply(sk_c5,sk_c8),sk_c9)**.
% 0.18/0.49 4[0:Inp] || -> equal(inverse(sk_c1),sk_c9) equal(multiply(sk_c9,sk_c7),sk_c8)**.
% 0.18/0.49 5[0:Inp] || -> equal(inverse(sk_c1),sk_c9) equal(multiply(sk_c6,sk_c9),sk_c7)**.
% 0.18/0.49 6[0:Inp] || -> equal(inverse(sk_c6),sk_c9)** equal(inverse(sk_c1),sk_c9).
% 0.18/0.49 7[0:Inp] || -> equal(multiply(sk_c4,sk_c5),sk_c9)** equal(multiply(sk_c1,sk_c8),sk_c9).
% 0.18/0.49 8[0:Inp] || -> equal(inverse(sk_c4),sk_c5) equal(multiply(sk_c1,sk_c8),sk_c9)**.
% 0.18/0.49 9[0:Inp] || -> equal(multiply(sk_c5,sk_c8),sk_c9)** equal(multiply(sk_c1,sk_c8),sk_c9).
% 0.18/0.49 10[0:Inp] || -> equal(multiply(sk_c9,sk_c7),sk_c8)** equal(multiply(sk_c1,sk_c8),sk_c9).
% 0.18/0.49 11[0:Inp] || -> equal(multiply(sk_c6,sk_c9),sk_c7)** equal(multiply(sk_c1,sk_c8),sk_c9).
% 0.18/0.49 12[0:Inp] || -> equal(inverse(sk_c6),sk_c9) equal(multiply(sk_c1,sk_c8),sk_c9)**.
% 0.18/0.49 13[0:Inp] || -> equal(multiply(sk_c4,sk_c5),sk_c9) equal(multiply(sk_c9,sk_c3),sk_c8)**.
% 0.18/0.49 14[0:Inp] || -> equal(inverse(sk_c4),sk_c5) equal(multiply(sk_c9,sk_c3),sk_c8)**.
% 0.18/0.49 15[0:Inp] || -> equal(multiply(sk_c5,sk_c8),sk_c9) equal(multiply(sk_c9,sk_c3),sk_c8)**.
% 0.18/0.49 16[0:Inp] || -> equal(multiply(sk_c9,sk_c7),sk_c8) equal(multiply(sk_c9,sk_c3),sk_c8)**.
% 0.18/0.49 17[0:Inp] || -> equal(multiply(sk_c6,sk_c9),sk_c7) equal(multiply(sk_c9,sk_c3),sk_c8)**.
% 0.18/0.49 18[0:Inp] || -> equal(inverse(sk_c6),sk_c9) equal(multiply(sk_c9,sk_c3),sk_c8)**.
% 0.18/0.49 19[0:Inp] || -> equal(multiply(sk_c4,sk_c5),sk_c9) equal(multiply(sk_c2,sk_c9),sk_c3)**.
% 0.18/0.49 20[0:Inp] || -> equal(inverse(sk_c4),sk_c5) equal(multiply(sk_c2,sk_c9),sk_c3)**.
% 0.18/0.49 21[0:Inp] || -> equal(multiply(sk_c5,sk_c8),sk_c9) equal(multiply(sk_c2,sk_c9),sk_c3)**.
% 0.18/0.49 22[0:Inp] || -> equal(multiply(sk_c9,sk_c7),sk_c8)** equal(multiply(sk_c2,sk_c9),sk_c3).
% 0.18/0.49 23[0:Inp] || -> equal(multiply(sk_c6,sk_c9),sk_c7) equal(multiply(sk_c2,sk_c9),sk_c3)**.
% 0.18/0.49 24[0:Inp] || -> equal(inverse(sk_c6),sk_c9) equal(multiply(sk_c2,sk_c9),sk_c3)**.
% 0.18/0.49 25[0:Inp] || -> equal(inverse(sk_c2),sk_c9) equal(multiply(sk_c4,sk_c5),sk_c9)**.
% 0.18/0.49 26[0:Inp] || -> equal(inverse(sk_c4),sk_c5) equal(inverse(sk_c2),sk_c9)**.
% 0.18/0.49 27[0:Inp] || -> equal(inverse(sk_c2),sk_c9) equal(multiply(sk_c5,sk_c8),sk_c9)**.
% 0.18/0.49 28[0:Inp] || -> equal(inverse(sk_c2),sk_c9) equal(multiply(sk_c9,sk_c7),sk_c8)**.
% 0.18/0.49 29[0:Inp] || -> equal(inverse(sk_c2),sk_c9) equal(multiply(sk_c6,sk_c9),sk_c7)**.
% 0.18/0.49 30[0:Inp] || -> equal(inverse(sk_c6),sk_c9) equal(inverse(sk_c2),sk_c9)**.
% 0.18/0.49 31[0:Inp] || equal(inverse(u),sk_c9) equal(multiply(u,sk_c8),sk_c9)** equal(multiply(sk_c9,v),sk_c8)** equal(multiply(w,sk_c9),v)* equal(inverse(w),sk_c9) equal(multiply(x,y),sk_c9)** equal(inverse(x),y) equal(multiply(y,sk_c8),sk_c9)** equal(multiply(sk_c9,z),sk_c8)** equal(multiply(x1,sk_c9),z)* equal(inverse(x1),sk_c9) -> .
% 0.18/0.49 32[0:Inp] || -> equal(multiply(identity,u),u)**.
% 0.18/0.49 33[0:Inp] || -> equal(multiply(inverse(u),u),identity)**.
% 0.18/0.49 34[0:Inp] || -> equal(multiply(multiply(u,v),w),multiply(u,multiply(v,w)))**.
% 0.18/0.49 35[0:Con:31.8] || equal(inverse(u),v) equal(inverse(w),sk_c9) equal(inverse(x),sk_c9) equal(multiply(u,v),sk_c9)**+ equal(multiply(w,sk_c9),y)* equal(multiply(v,sk_c8),sk_c9)** equal(multiply(x,sk_c8),sk_c9)** equal(multiply(sk_c9,y),sk_c8)** -> .
% 0.18/0.49 36[1:Spt:35.0,35.3,35.5] || equal(inverse(u),v) equal(multiply(u,v),sk_c9)**+ equal(multiply(v,sk_c8),sk_c9)** -> .
% 0.18/0.49 37[2:Spt:26.1] || -> equal(inverse(sk_c2),sk_c9)**.
% 0.18/0.49 39[3:Spt:2.1] || -> equal(inverse(sk_c1),sk_c9)**.
% 0.18/0.49 41[4:Spt:20.1] || -> equal(multiply(sk_c2,sk_c9),sk_c3)**.
% 0.18/0.49 47[1:SpL:32.0,36.1] || equal(inverse(identity),u) equal(u,sk_c9) equal(multiply(u,sk_c8),sk_c9)** -> .
% 0.18/0.49 48[5:Spt:14.1] || -> equal(multiply(sk_c9,sk_c3),sk_c8)**.
% 0.18/0.49 51[6:Spt:8.1] || -> equal(multiply(sk_c1,sk_c8),sk_c9)**.
% 0.18/0.49 57[2:SpR:37.0,33.0] || -> equal(multiply(sk_c9,sk_c2),identity)**.
% 0.18/0.49 58[3:SpR:39.0,33.0] || -> equal(multiply(sk_c9,sk_c1),identity)**.
% 0.18/0.49 61[2:SpL:57.0,36.1] || equal(inverse(sk_c9),sk_c2) equal(sk_c9,identity) equal(multiply(sk_c2,sk_c8),sk_c9)** -> .
% 0.18/0.49 71[0:SpR:33.0,34.0] || -> equal(multiply(inverse(u),multiply(u,v)),multiply(identity,v))**.
% 0.18/0.49 73[2:SpR:57.0,34.0] || -> equal(multiply(sk_c9,multiply(sk_c2,u)),multiply(identity,u))**.
% 0.18/0.49 76[2:Rew:32.0,73.0] || -> equal(multiply(sk_c9,multiply(sk_c2,u)),u)**.
% 0.18/0.49 78[0:Rew:32.0,71.0] || -> equal(multiply(inverse(u),multiply(u,v)),v)**.
% 0.18/0.49 82[4:SpR:41.0,76.0] || -> equal(multiply(sk_c9,sk_c3),sk_c9)**.
% 0.18/0.49 83[2:SpL:76.0,36.1] || equal(multiply(sk_c2,u),inverse(sk_c9)) equal(u,sk_c9) equal(multiply(multiply(sk_c2,u),sk_c8),sk_c9)** -> .
% 0.18/0.49 84[5:Rew:48.0,82.0] || -> equal(sk_c9,sk_c8)**.
% 0.18/0.49 87[5:Rew:84.0,39.0] || -> equal(inverse(sk_c1),sk_c8)**.
% 0.18/0.49 88[5:Rew:84.0,41.0] || -> equal(multiply(sk_c2,sk_c8),sk_c3)**.
% 0.18/0.49 89[5:Rew:84.0,48.0] || -> equal(multiply(sk_c8,sk_c3),sk_c8)**.
% 0.18/0.49 90[6:Rew:84.0,51.0] || -> equal(multiply(sk_c1,sk_c8),sk_c8)**.
% 0.18/0.49 91[5:Rew:84.0,57.0] || -> equal(multiply(sk_c8,sk_c2),identity)**.
% 0.18/0.49 92[5:Rew:84.0,58.0] || -> equal(multiply(sk_c8,sk_c1),identity)**.
% 0.18/0.49 118[2:Rew:34.0,83.2] || equal(multiply(sk_c2,u),inverse(sk_c9)) equal(u,sk_c9) equal(multiply(sk_c2,multiply(u,sk_c8)),sk_c9)** -> .
% 0.18/0.49 119[5:Rew:84.0,118.2,84.0,118.1,84.0,118.0] || equal(multiply(sk_c2,u),inverse(sk_c8)) equal(u,sk_c8) equal(multiply(sk_c2,multiply(u,sk_c8)),sk_c8)** -> .
% 0.18/0.49 139[0:SpR:78.0,78.0] || -> equal(multiply(inverse(inverse(u)),v),multiply(u,v))**.
% 0.18/0.49 141[0:SpR:32.0,78.0] || -> equal(multiply(inverse(identity),u),u)**.
% 0.18/0.49 142[0:SpR:33.0,78.0] || -> equal(multiply(inverse(inverse(u)),identity),u)**.
% 0.18/0.49 146[5:SpR:89.0,78.0] || -> equal(multiply(inverse(sk_c8),sk_c8),sk_c3)**.
% 0.18/0.49 147[5:SpR:91.0,78.0] || -> equal(multiply(inverse(sk_c8),identity),sk_c2)**.
% 0.18/0.49 148[5:SpR:92.0,78.0] || -> equal(multiply(inverse(sk_c8),identity),sk_c1)**.
% 0.18/0.49 154[5:Rew:33.0,146.0] || -> equal(identity,sk_c3)**.
% 0.18/0.49 163[5:Rew:154.0,141.0] || -> equal(multiply(inverse(sk_c3),u),u)**.
% 0.18/0.49 167[5:Rew:154.0,147.0] || -> equal(multiply(inverse(sk_c8),sk_c3),sk_c2)**.
% 0.18/0.49 168[5:Rew:167.0,148.0,154.0,148.0] || -> equal(sk_c2,sk_c1)**.
% 0.18/0.49 170[5:Rew:168.0,88.0] || -> equal(multiply(sk_c1,sk_c8),sk_c3)**.
% 0.18/0.49 172[5:Rew:168.0,119.0] || equal(multiply(sk_c1,u),inverse(sk_c8)) equal(u,sk_c8) equal(multiply(sk_c2,multiply(u,sk_c8)),sk_c8)** -> .
% 0.18/0.49 174[5:Rew:168.0,167.0] || -> equal(multiply(inverse(sk_c8),sk_c3),sk_c1)**.
% 0.18/0.49 175[6:Rew:90.0,170.0] || -> equal(sk_c3,sk_c8)**.
% 0.18/0.49 177[6:Rew:175.0,154.0] || -> equal(identity,sk_c8)**.
% 0.18/0.49 184[6:Rew:175.0,163.0] || -> equal(multiply(inverse(sk_c8),u),u)**.
% 0.18/0.49 185[6:Rew:184.0,174.0,175.0,174.0] || -> equal(sk_c8,sk_c1)**.
% 0.18/0.49 187[6:Rew:185.0,87.0] || -> equal(inverse(sk_c1),sk_c1)**.
% 0.18/0.49 195[6:Rew:185.0,177.0] || -> equal(identity,sk_c1)**.
% 0.18/0.49 198[6:Rew:185.0,184.0] || -> equal(multiply(inverse(sk_c1),u),u)**.
% 0.18/0.49 201[6:Rew:187.0,198.0] || -> equal(multiply(sk_c1,u),u)**.
% 0.18/0.49 202[6:Rew:195.0,142.0] || -> equal(multiply(inverse(inverse(u)),sk_c1),u)**.
% 0.18/0.49 208[6:Rew:139.0,202.0] || -> equal(multiply(u,sk_c1),u)**.
% 0.18/0.49 224[6:Rew:201.0,172.2,168.0,172.2,208.0,172.2,185.0,172.2,185.0,172.1,201.0,172.0,187.0,172.0,185.0,172.0] || equal(u,sk_c1)* equal(u,sk_c1)* equal(u,sk_c1)* -> .
% 0.18/0.49 225[6:Obv:224.1] || equal(u,sk_c1)* -> .
% 0.18/0.49 226[6:UnC:225.0,78.0] || -> .
% 0.18/0.49 228[6:Spt:226.0,8.1,51.0] || equal(multiply(sk_c1,sk_c8),sk_c9)** -> .
% 0.18/0.49 229[6:Spt:226.0,8.0] || -> equal(inverse(sk_c4),sk_c5)**.
% 0.18/0.49 230[6:Rew:170.0,228.0,84.0,228.0] || equal(sk_c3,sk_c8)** -> .
% 0.18/0.49 231[5:Rew:139.0,142.0,154.0,142.0] || -> equal(multiply(u,sk_c3),u)**.
% 0.18/0.49 232[5:Rew:231.0,174.0] || -> equal(inverse(sk_c8),sk_c1)**.
% 0.18/0.49 242[5:Rew:170.0,10.1,84.0,10.1,84.0,10.0] || -> equal(multiply(sk_c8,sk_c7),sk_c8)** equal(sk_c3,sk_c8).
% 0.18/0.49 243[6:MRR:242.1,230.0] || -> equal(multiply(sk_c8,sk_c7),sk_c8)**.
% 0.18/0.49 244[5:Rew:170.0,9.1,84.0,9.1,84.0,9.0] || -> equal(multiply(sk_c5,sk_c8),sk_c8)** equal(sk_c3,sk_c8).
% 0.18/0.49 245[6:MRR:244.1,230.0] || -> equal(multiply(sk_c5,sk_c8),sk_c8)**.
% 0.18/0.49 246[5:Rew:170.0,7.1,84.0,7.1,84.0,7.0] || -> equal(multiply(sk_c4,sk_c5),sk_c8)** equal(sk_c3,sk_c8).
% 0.18/0.49 247[6:MRR:246.1,230.0] || -> equal(multiply(sk_c4,sk_c5),sk_c8)**.
% 0.18/0.49 278[6:SpR:243.0,78.0] || -> equal(multiply(inverse(sk_c8),sk_c8),sk_c7)**.
% 0.18/0.49 280[6:Rew:170.0,278.0,232.0,278.0] || -> equal(sk_c3,sk_c7)**.
% 0.18/0.49 282[6:Rew:280.0,230.0] || equal(sk_c7,sk_c8)** -> .
% 0.18/0.49 284[6:Rew:280.0,170.0] || -> equal(multiply(sk_c1,sk_c8),sk_c7)**.
% 0.18/0.49 296[6:SpR:245.0,78.0] || -> equal(multiply(inverse(sk_c5),sk_c8),sk_c8)**.
% 0.18/0.49 299[6:SpR:247.0,78.0] || -> equal(multiply(inverse(sk_c4),sk_c8),sk_c5)**.
% 0.18/0.49 301[6:Rew:245.0,299.0,229.0,299.0] || -> equal(sk_c8,sk_c5)**.
% 0.18/0.49 304[6:Rew:301.0,232.0] || -> equal(inverse(sk_c5),sk_c1)**.
% 0.18/0.49 307[6:Rew:301.0,282.0] || equal(sk_c7,sk_c5)** -> .
% 0.18/0.49 319[6:Rew:301.0,284.0] || -> equal(multiply(sk_c1,sk_c5),sk_c7)**.
% 0.18/0.49 321[6:Rew:301.0,296.0] || -> equal(multiply(inverse(sk_c5),sk_c5),sk_c5)**.
% 0.18/0.49 322[6:Rew:319.0,321.0,304.0,321.0] || -> equal(sk_c7,sk_c5)**.
% 0.18/0.49 323[6:MRR:322.0,307.0] || -> .
% 0.18/0.49 329[5:Spt:323.0,14.1,48.0] || equal(multiply(sk_c9,sk_c3),sk_c8)** -> .
% 0.18/0.49 330[5:Spt:323.0,14.0] || -> equal(inverse(sk_c4),sk_c5)**.
% 0.18/0.49 331[5:Rew:82.0,329.0] || equal(sk_c9,sk_c8)** -> .
% 0.18/0.49 332[0:Rew:139.0,142.0] || -> equal(multiply(u,identity),u)**.
% 0.18/0.49 333[4:Rew:82.0,18.1] || -> equal(inverse(sk_c6),sk_c9)** equal(sk_c9,sk_c8).
% 0.18/0.49 334[5:MRR:333.1,331.0] || -> equal(inverse(sk_c6),sk_c9)**.
% 0.18/0.49 335[4:Rew:82.0,17.1] || -> equal(multiply(sk_c6,sk_c9),sk_c7)** equal(sk_c9,sk_c8).
% 0.18/0.49 336[5:MRR:335.1,331.0] || -> equal(multiply(sk_c6,sk_c9),sk_c7)**.
% 0.18/0.49 337[4:Rew:82.0,16.1] || -> equal(multiply(sk_c9,sk_c7),sk_c8)** equal(sk_c9,sk_c8).
% 0.18/0.49 338[5:MRR:337.1,331.0] || -> equal(multiply(sk_c9,sk_c7),sk_c8)**.
% 0.18/0.49 371[5:SpR:336.0,78.0] || -> equal(multiply(inverse(sk_c6),sk_c7),sk_c9)**.
% 0.18/0.49 373[5:Rew:334.0,371.0] || -> equal(multiply(sk_c9,sk_c7),sk_c9)**.
% 0.18/0.49 374[5:Rew:338.0,373.0] || -> equal(sk_c9,sk_c8)**.
% 0.18/0.49 375[5:MRR:374.0,331.0] || -> .
% 0.18/0.49 376[4:Spt:375.0,20.1,41.0] || equal(multiply(sk_c2,sk_c9),sk_c3)** -> .
% 0.18/0.49 377[4:Spt:375.0,20.0] || -> equal(inverse(sk_c4),sk_c5)**.
% 0.18/0.49 378[4:MRR:24.1,376.0] || -> equal(inverse(sk_c6),sk_c9)**.
% 0.18/0.49 379[4:MRR:23.1,376.0] || -> equal(multiply(sk_c6,sk_c9),sk_c7)**.
% 0.18/0.49 380[4:MRR:22.1,376.0] || -> equal(multiply(sk_c9,sk_c7),sk_c8)**.
% 0.18/0.49 381[4:MRR:21.1,376.0] || -> equal(multiply(sk_c5,sk_c8),sk_c9)**.
% 0.18/0.49 382[4:MRR:19.1,376.0] || -> equal(multiply(sk_c4,sk_c5),sk_c9)**.
% 0.18/0.49 388[2:SpR:57.0,78.0] || -> equal(multiply(inverse(sk_c9),identity),sk_c2)**.
% 0.18/0.49 390[2:Rew:332.0,388.0] || -> equal(inverse(sk_c9),sk_c2)**.
% 0.18/0.49 392[2:Rew:390.0,61.0] || equal(sk_c2,sk_c2) equal(sk_c9,identity) equal(multiply(sk_c2,sk_c8),sk_c9)** -> .
% 0.18/0.49 395[2:Obv:392.0] || equal(sk_c9,identity) equal(multiply(sk_c2,sk_c8),sk_c9)** -> .
% 0.18/0.49 396[2:SpR:390.0,78.0] || -> equal(multiply(sk_c2,multiply(sk_c9,u)),u)**.
% 0.18/0.49 399[3:SpR:58.0,78.0] || -> equal(multiply(inverse(sk_c9),identity),sk_c1)**.
% 0.18/0.49 401[3:Rew:390.0,399.0] || -> equal(multiply(sk_c2,identity),sk_c1)**.
% 0.18/0.49 402[3:Rew:332.0,401.0] || -> equal(sk_c2,sk_c1)**.
% 0.18/0.49 405[3:Rew:402.0,390.0] || -> equal(inverse(sk_c9),sk_c1)**.
% 0.18/0.49 408[3:Rew:402.0,395.1] || equal(sk_c9,identity) equal(multiply(sk_c1,sk_c8),sk_c9)** -> .
% 0.18/0.49 411[3:Rew:402.0,396.0] || -> equal(multiply(sk_c1,multiply(sk_c9,u)),u)**.
% 0.18/0.49 416[4:SpR:379.0,78.0] || -> equal(multiply(inverse(sk_c6),sk_c7),sk_c9)**.
% 0.18/0.49 418[4:Rew:378.0,416.0] || -> equal(multiply(sk_c9,sk_c7),sk_c9)**.
% 0.18/0.49 419[4:Rew:380.0,418.0] || -> equal(sk_c9,sk_c8)**.
% 0.18/0.49 422[4:Rew:419.0,58.0] || -> equal(multiply(sk_c8,sk_c1),identity)**.
% 0.18/0.49 429[4:Rew:419.0,380.0] || -> equal(multiply(sk_c8,sk_c7),sk_c8)**.
% 0.18/0.49 430[4:Rew:419.0,381.0] || -> equal(multiply(sk_c5,sk_c8),sk_c8)**.
% 0.18/0.49 431[4:Rew:419.0,382.0] || -> equal(multiply(sk_c4,sk_c5),sk_c8)**.
% 0.18/0.49 432[4:Rew:419.0,408.0] || equal(identity,sk_c8) equal(multiply(sk_c1,sk_c8),sk_c9)** -> .
% 0.18/0.49 435[4:Rew:419.0,405.0] || -> equal(inverse(sk_c8),sk_c1)**.
% 0.18/0.49 437[4:Rew:419.0,411.0] || -> equal(multiply(sk_c1,multiply(sk_c8,u)),u)**.
% 0.18/0.49 439[4:Rew:419.0,432.1] || equal(identity,sk_c8) equal(multiply(sk_c1,sk_c8),sk_c8)** -> .
% 0.18/0.49 463[4:SpR:429.0,78.0] || -> equal(multiply(inverse(sk_c8),sk_c8),sk_c7)**.
% 0.18/0.49 465[4:Rew:435.0,463.0] || -> equal(multiply(sk_c1,sk_c8),sk_c7)**.
% 0.18/0.49 467[4:Rew:465.0,439.1] || equal(identity,sk_c8)** equal(sk_c7,sk_c8) -> .
% 0.18/0.49 469[4:SpR:430.0,78.0] || -> equal(multiply(inverse(sk_c5),sk_c8),sk_c8)**.
% 0.18/0.49 472[4:SpR:431.0,78.0] || -> equal(multiply(inverse(sk_c4),sk_c8),sk_c5)**.
% 0.18/0.49 474[4:Rew:430.0,472.0,377.0,472.0] || -> equal(sk_c8,sk_c5)**.
% 0.18/0.49 479[4:Rew:474.0,435.0] || -> equal(inverse(sk_c5),sk_c1)**.
% 0.18/0.49 480[4:Rew:474.0,422.0] || -> equal(multiply(sk_c5,sk_c1),identity)**.
% 0.18/0.49 486[4:Rew:474.0,437.0] || -> equal(multiply(sk_c1,multiply(sk_c5,u)),u)**.
% 0.18/0.49 489[4:Rew:474.0,467.0] || equal(identity,sk_c5)** equal(sk_c7,sk_c8) -> .
% 0.18/0.49 495[4:Rew:474.0,465.0] || -> equal(multiply(sk_c1,sk_c5),sk_c7)**.
% 0.18/0.49 497[4:Rew:474.0,469.0] || -> equal(multiply(inverse(sk_c5),sk_c5),sk_c5)**.
% 0.18/0.49 498[4:Rew:495.0,497.0,479.0,497.0] || -> equal(sk_c7,sk_c5)**.
% 0.18/0.49 502[4:Rew:498.0,495.0] || -> equal(multiply(sk_c1,sk_c5),sk_c5)**.
% 0.18/0.49 503[4:Rew:498.0,489.1,474.0,489.1] || equal(identity,sk_c5)** equal(sk_c5,sk_c5) -> .
% 0.18/0.49 504[4:Obv:503.1] || equal(identity,sk_c5)** -> .
% 0.18/0.49 538[4:SpR:502.0,34.0] || -> equal(multiply(sk_c1,multiply(sk_c5,u)),multiply(sk_c5,u))**.
% 0.18/0.49 542[4:Rew:486.0,538.0] || -> equal(multiply(sk_c5,u),u)**.
% 0.18/0.49 543[4:Rew:542.0,480.0] || -> equal(identity,sk_c1)**.
% 0.18/0.49 544[4:Rew:542.0,486.0] || -> equal(multiply(sk_c1,u),u)**.
% 0.18/0.49 550[4:Rew:543.0,504.0] || equal(sk_c5,sk_c1)** -> .
% 0.18/0.49 555[4:Rew:543.0,33.0] || -> equal(multiply(inverse(u),u),sk_c1)**.
% 0.18/0.49 567[4:SpR:479.0,555.0] || -> equal(multiply(sk_c1,sk_c5),sk_c1)**.
% 0.18/0.49 574[4:Rew:544.0,567.0] || -> equal(sk_c5,sk_c1)**.
% 0.18/0.49 575[4:MRR:574.0,550.0] || -> .
% 0.18/0.49 579[3:Spt:575.0,2.1,39.0] || equal(inverse(sk_c1),sk_c9)** -> .
% 0.18/0.49 580[3:Spt:575.0,2.0] || -> equal(inverse(sk_c4),sk_c5)**.
% 0.18/0.49 581[3:MRR:6.1,579.0] || -> equal(inverse(sk_c6),sk_c9)**.
% 0.18/0.49 582[3:MRR:5.0,579.0] || -> equal(multiply(sk_c6,sk_c9),sk_c7)**.
% 0.18/0.49 583[3:MRR:4.0,579.0] || -> equal(multiply(sk_c9,sk_c7),sk_c8)**.
% 0.18/0.49 584[3:MRR:3.0,579.0] || -> equal(multiply(sk_c5,sk_c8),sk_c9)**.
% 0.18/0.49 585[3:MRR:1.0,579.0] || -> equal(multiply(sk_c4,sk_c5),sk_c9)**.
% 0.18/0.49 600[3:SpR:582.0,78.0] || -> equal(multiply(inverse(sk_c6),sk_c7),sk_c9)**.
% 0.18/0.49 602[3:Rew:581.0,600.0] || -> equal(multiply(sk_c9,sk_c7),sk_c9)**.
% 0.18/0.49 603[3:Rew:583.0,602.0] || -> equal(sk_c9,sk_c8)**.
% 0.18/0.49 604[3:Rew:603.0,390.0] || -> equal(inverse(sk_c8),sk_c2)**.
% 0.18/0.49 607[3:Rew:603.0,57.0] || -> equal(multiply(sk_c8,sk_c2),identity)**.
% 0.18/0.49 610[3:Rew:603.0,396.0] || -> equal(multiply(sk_c2,multiply(sk_c8,u)),u)**.
% 0.18/0.49 612[3:Rew:603.0,583.0] || -> equal(multiply(sk_c8,sk_c7),sk_c8)**.
% 0.18/0.49 613[3:Rew:603.0,584.0] || -> equal(multiply(sk_c5,sk_c8),sk_c8)**.
% 0.18/0.49 614[3:Rew:603.0,585.0] || -> equal(multiply(sk_c4,sk_c5),sk_c8)**.
% 0.18/0.49 616[3:Rew:603.0,395.0] || equal(identity,sk_c8) equal(multiply(sk_c2,sk_c8),sk_c9)** -> .
% 0.18/0.49 623[3:Rew:603.0,616.1] || equal(identity,sk_c8) equal(multiply(sk_c2,sk_c8),sk_c8)** -> .
% 0.18/0.49 646[3:SpR:612.0,78.0] || -> equal(multiply(inverse(sk_c8),sk_c8),sk_c7)**.
% 0.18/0.49 648[3:Rew:604.0,646.0] || -> equal(multiply(sk_c2,sk_c8),sk_c7)**.
% 0.18/0.49 649[3:Rew:648.0,623.1] || equal(identity,sk_c8)** equal(sk_c7,sk_c8) -> .
% 0.18/0.49 651[3:SpR:613.0,78.0] || -> equal(multiply(inverse(sk_c5),sk_c8),sk_c8)**.
% 0.18/0.49 653[3:SpR:614.0,34.0] || -> equal(multiply(sk_c4,multiply(sk_c5,u)),multiply(sk_c8,u))**.
% 0.18/0.49 654[3:SpR:614.0,78.0] || -> equal(multiply(inverse(sk_c4),sk_c8),sk_c5)**.
% 0.18/0.49 656[3:Rew:613.0,654.0,580.0,654.0] || -> equal(sk_c8,sk_c5)**.
% 0.18/0.49 658[3:Rew:656.0,604.0] || -> equal(inverse(sk_c5),sk_c2)**.
% 0.18/0.49 661[3:Rew:656.0,607.0] || -> equal(multiply(sk_c5,sk_c2),identity)**.
% 0.18/0.49 667[3:Rew:656.0,610.0] || -> equal(multiply(sk_c2,multiply(sk_c5,u)),u)**.
% 0.18/0.49 672[3:Rew:656.0,649.0] || equal(identity,sk_c5)** equal(sk_c7,sk_c8) -> .
% 0.18/0.49 678[3:Rew:656.0,648.0] || -> equal(multiply(sk_c2,sk_c5),sk_c7)**.
% 0.18/0.49 680[3:Rew:656.0,651.0] || -> equal(multiply(inverse(sk_c5),sk_c5),sk_c5)**.
% 0.18/0.49 681[3:Rew:678.0,680.0,658.0,680.0] || -> equal(sk_c7,sk_c5)**.
% 0.18/0.49 684[3:Rew:681.0,678.0] || -> equal(multiply(sk_c2,sk_c5),sk_c5)**.
% 0.18/0.49 685[3:Rew:681.0,672.1,656.0,672.1] || equal(identity,sk_c5)** equal(sk_c5,sk_c5) -> .
% 0.18/0.49 686[3:Obv:685.1] || equal(identity,sk_c5)** -> .
% 0.18/0.49 687[3:Rew:656.0,653.0] || -> equal(multiply(sk_c4,multiply(sk_c5,u)),multiply(sk_c5,u))**.
% 0.18/0.49 720[3:SpR:684.0,34.0] || -> equal(multiply(sk_c2,multiply(sk_c5,u)),multiply(sk_c5,u))**.
% 0.18/0.49 724[3:Rew:667.0,720.0] || -> equal(multiply(sk_c5,u),u)**.
% 0.18/0.49 725[3:Rew:724.0,661.0] || -> equal(identity,sk_c2)**.
% 0.18/0.49 729[3:Rew:724.0,687.0] || -> equal(multiply(sk_c4,u),u)**.
% 0.18/0.49 732[3:Rew:725.0,686.0] || equal(sk_c2,sk_c5)** -> .
% 0.18/0.49 735[3:Rew:725.0,33.0] || -> equal(multiply(inverse(u),u),sk_c2)**.
% 0.18/0.49 746[3:SpR:580.0,735.0] || -> equal(multiply(sk_c5,sk_c4),sk_c2)**.
% 0.18/0.49 748[3:SpR:658.0,735.0] || -> equal(multiply(sk_c2,sk_c5),sk_c2)**.
% 0.18/0.49 750[3:Rew:724.0,746.0] || -> equal(sk_c2,sk_c4)**.
% 0.18/0.49 755[3:Rew:750.0,732.0] || equal(sk_c5,sk_c4)** -> .
% 0.18/0.49 761[3:Rew:729.0,748.0,750.0,748.0] || -> equal(sk_c5,sk_c4)**.
% 0.18/0.49 762[3:MRR:761.0,755.0] || -> .
% 0.18/0.49 767[2:Spt:762.0,26.1,37.0] || equal(inverse(sk_c2),sk_c9)** -> .
% 0.18/0.49 768[2:Spt:762.0,26.0] || -> equal(inverse(sk_c4),sk_c5)**.
% 0.18/0.49 769[2:MRR:30.1,767.0] || -> equal(inverse(sk_c6),sk_c9)**.
% 0.18/0.49 770[2:MRR:29.0,767.0] || -> equal(multiply(sk_c6,sk_c9),sk_c7)**.
% 0.18/0.49 771[2:MRR:28.0,767.0] || -> equal(multiply(sk_c9,sk_c7),sk_c8)**.
% 0.18/0.49 772[2:MRR:27.0,767.0] || -> equal(multiply(sk_c5,sk_c8),sk_c9)**.
% 0.18/0.49 773[2:MRR:25.0,767.0] || -> equal(multiply(sk_c4,sk_c5),sk_c9)**.
% 0.18/0.49 779[2:SpR:770.0,78.0] || -> equal(multiply(inverse(sk_c6),sk_c7),sk_c9)**.
% 0.18/0.49 781[2:Rew:769.0,779.0] || -> equal(multiply(sk_c9,sk_c7),sk_c9)**.
% 0.18/0.49 782[2:Rew:771.0,781.0] || -> equal(sk_c9,sk_c8)**.
% 0.18/0.49 786[2:Rew:782.0,771.0] || -> equal(multiply(sk_c8,sk_c7),sk_c8)**.
% 0.18/0.49 787[2:Rew:782.0,772.0] || -> equal(multiply(sk_c5,sk_c8),sk_c8)**.
% 0.18/0.49 788[2:Rew:782.0,773.0] || -> equal(multiply(sk_c4,sk_c5),sk_c8)**.
% 0.18/0.49 789[2:Rew:782.0,47.1] || equal(inverse(identity),u) equal(u,sk_c8) equal(multiply(u,sk_c8),sk_c9)** -> .
% 0.18/0.49 795[2:Rew:782.0,789.2] || equal(inverse(identity),u) equal(u,sk_c8) equal(multiply(u,sk_c8),sk_c8)** -> .
% 0.18/0.49 807[2:SpR:786.0,78.0] || -> equal(multiply(inverse(sk_c8),sk_c8),sk_c7)**.
% 0.18/0.49 809[2:Rew:33.0,807.0] || -> equal(identity,sk_c7)**.
% 0.18/0.49 810[2:Rew:809.0,332.0] || -> equal(multiply(u,sk_c7),u)**.
% 0.18/0.49 813[2:Rew:809.0,795.0] || equal(inverse(sk_c7),u) equal(u,sk_c8) equal(multiply(u,sk_c8),sk_c8)** -> .
% 0.18/0.49 814[2:Rew:809.0,33.0] || -> equal(multiply(inverse(u),u),sk_c7)**.
% 0.18/0.49 820[2:SpR:787.0,78.0] || -> equal(multiply(inverse(sk_c5),sk_c8),sk_c8)**.
% 0.18/0.49 823[2:SpR:788.0,78.0] || -> equal(multiply(inverse(sk_c4),sk_c8),sk_c5)**.
% 0.18/0.49 825[2:Rew:787.0,823.0,768.0,823.0] || -> equal(sk_c8,sk_c5)**.
% 0.18/0.49 831[2:Rew:825.0,788.0] || -> equal(multiply(sk_c4,sk_c5),sk_c5)**.
% 0.18/0.49 837[2:Rew:825.0,813.1] || equal(inverse(sk_c7),u) equal(u,sk_c5) equal(multiply(u,sk_c8),sk_c8)** -> .
% 0.18/0.49 839[2:Rew:825.0,820.0] || -> equal(multiply(inverse(sk_c5),sk_c5),sk_c5)**.
% 0.18/0.49 840[2:Rew:814.0,839.0] || -> equal(sk_c7,sk_c5)**.
% 0.18/0.49 842[2:Rew:840.0,810.0] || -> equal(multiply(u,sk_c5),u)**.
% 0.18/0.49 847[2:Rew:842.0,831.0] || -> equal(sk_c5,sk_c4)**.
% 0.18/0.49 848[2:Rew:847.0,768.0] || -> equal(inverse(sk_c4),sk_c4)**.
% 0.18/0.49 850[2:Rew:847.0,825.0] || -> equal(sk_c8,sk_c4)**.
% 0.18/0.49 854[2:Rew:847.0,840.0] || -> equal(sk_c7,sk_c4)**.
% 0.18/0.49 856[2:Rew:847.0,842.0] || -> equal(multiply(u,sk_c4),u)**.
% 0.18/0.49 868[2:Rew:856.0,837.2,850.0,837.2,847.0,837.1,848.0,837.0,854.0,837.0] || equal(sk_c4,u)* equal(u,sk_c4)* equal(u,sk_c4)* -> .
% 0.18/0.49 869[2:Obv:868.1] || equal(u,sk_c4)* -> .
% 0.18/0.49 870[2:UnC:869.0,78.0] || -> .
% 0.18/0.49 875[1:Spt:870.0,35.1,35.2,35.4,35.6,35.7] || equal(inverse(u),sk_c9) equal(inverse(v),sk_c9) equal(multiply(u,sk_c9),w)*+ equal(multiply(v,sk_c8),sk_c9)** equal(multiply(sk_c9,w),sk_c8)** -> .
% 0.18/0.49 876[1:EqR:875.2] || equal(inverse(u),sk_c9) equal(inverse(v),sk_c9) equal(multiply(v,sk_c8),sk_c9)** equal(multiply(sk_c9,multiply(u,sk_c9)),sk_c8)** -> .
% 0.18/0.49 878[2:Spt:2.1] || -> equal(inverse(sk_c1),sk_c9)**.
% 0.18/0.49 879[2:SpR:878.0,78.0] || -> equal(multiply(sk_c9,multiply(sk_c1,u)),u)**.
% 0.18/0.49 881[3:Spt:30.1] || -> equal(inverse(sk_c2),sk_c9)**.
% 0.18/0.49 882[3:SpR:881.0,78.0] || -> equal(multiply(sk_c9,multiply(sk_c2,u)),u)**.
% 0.18/0.49 884[4:Spt:8.1] || -> equal(multiply(sk_c1,sk_c8),sk_c9)**.
% 0.18/0.49 885[4:SpR:884.0,34.0] || -> equal(multiply(sk_c1,multiply(sk_c8,u)),multiply(sk_c9,u))**.
% 0.18/0.49 886[4:SpR:884.0,78.0] || -> equal(multiply(inverse(sk_c1),sk_c9),sk_c8)**.
% 0.18/0.49 888[4:Rew:878.0,886.0] || -> equal(multiply(sk_c9,sk_c9),sk_c8)**.
% 0.18/0.49 889[5:Spt:14.1] || -> equal(multiply(sk_c9,sk_c3),sk_c8)**.
% 0.18/0.49 891[5:SpR:889.0,78.0] || -> equal(multiply(inverse(sk_c9),sk_c8),sk_c3)**.
% 0.18/0.49 894[4:SpR:888.0,78.0] || -> equal(multiply(inverse(sk_c9),sk_c8),sk_c9)**.
% 0.18/0.49 897[5:Rew:891.0,894.0] || -> equal(sk_c9,sk_c3)**.
% 0.18/0.49 899[5:Rew:897.0,878.0] || -> equal(inverse(sk_c1),sk_c3)**.
% 0.18/0.49 900[5:Rew:897.0,881.0] || -> equal(inverse(sk_c2),sk_c3)**.
% 0.18/0.49 901[5:Rew:897.0,884.0] || -> equal(multiply(sk_c1,sk_c8),sk_c3)**.
% 0.18/0.49 904[5:Rew:897.0,24.0] || -> equal(inverse(sk_c6),sk_c3) equal(multiply(sk_c2,sk_c9),sk_c3)**.
% 0.18/0.49 907[5:Rew:897.0,22.1] || -> equal(multiply(sk_c9,sk_c7),sk_c8)** equal(multiply(sk_c2,sk_c3),sk_c3).
% 0.18/0.49 908[5:Rew:897.0,23.1] || -> equal(multiply(sk_c6,sk_c9),sk_c7) equal(multiply(sk_c2,sk_c3),sk_c3)**.
% 0.18/0.49 909[5:Rew:897.0,20.1] || -> equal(inverse(sk_c4),sk_c5) equal(multiply(sk_c2,sk_c3),sk_c3)**.
% 0.18/0.49 910[5:Rew:897.0,876.0] || equal(inverse(u),sk_c3) equal(inverse(v),sk_c9) equal(multiply(v,sk_c8),sk_c9)** equal(multiply(sk_c9,multiply(u,sk_c9)),sk_c8)** -> .
% 0.18/0.49 914[5:Rew:897.0,885.0] || -> equal(multiply(sk_c1,multiply(sk_c8,u)),multiply(sk_c3,u))**.
% 0.18/0.49 918[5:Rew:897.0,904.1] || -> equal(inverse(sk_c6),sk_c3) equal(multiply(sk_c2,sk_c3),sk_c3)**.
% 0.18/0.49 921[5:Rew:897.0,907.0] || -> equal(multiply(sk_c3,sk_c7),sk_c8) equal(multiply(sk_c2,sk_c3),sk_c3)**.
% 0.18/0.49 922[5:Rew:897.0,908.0] || -> equal(multiply(sk_c6,sk_c3),sk_c7) equal(multiply(sk_c2,sk_c3),sk_c3)**.
% 0.18/0.49 923[5:Rew:897.0,910.3,897.0,910.2,897.0,910.1] || equal(inverse(u),sk_c3) equal(inverse(v),sk_c3) equal(multiply(v,sk_c8),sk_c3)** equal(multiply(sk_c3,multiply(u,sk_c3)),sk_c8)** -> .
% 0.18/0.49 950[0:SpR:33.0,78.0] || -> equal(multiply(inverse(inverse(u)),identity),u)**.
% 0.18/0.49 951[0:SpR:33.0,332.0] || -> equal(inverse(identity),identity)**.
% 0.18/0.49 953[5:SpR:899.0,33.0] || -> equal(multiply(sk_c3,sk_c1),identity)**.
% 0.18/0.49 954[5:SpR:900.0,33.0] || -> equal(multiply(sk_c3,sk_c2),identity)**.
% 0.18/0.49 956[0:Rew:332.0,950.0] || -> equal(inverse(inverse(u)),u)**.
% 0.18/0.49 964[5:SpR:953.0,78.0] || -> equal(multiply(inverse(sk_c3),identity),sk_c1)**.
% 0.18/0.49 966[5:Rew:332.0,964.0] || -> equal(inverse(sk_c3),sk_c1)**.
% 0.18/0.49 971[5:SpR:966.0,33.0] || -> equal(multiply(sk_c1,sk_c3),identity)**.
% 0.18/0.49 974[5:SpR:954.0,78.0] || -> equal(multiply(inverse(sk_c3),identity),sk_c2)**.
% 0.18/0.49 976[5:Rew:332.0,974.0,966.0,974.0] || -> equal(sk_c2,sk_c1)**.
% 0.18/0.49 980[5:Rew:976.0,922.1] || -> equal(multiply(sk_c6,sk_c3),sk_c7)** equal(multiply(sk_c1,sk_c3),sk_c3).
% 0.18/0.49 981[5:Rew:976.0,921.1] || -> equal(multiply(sk_c3,sk_c7),sk_c8)** equal(multiply(sk_c1,sk_c3),sk_c3).
% 0.18/0.49 984[5:Rew:976.0,909.1] || -> equal(inverse(sk_c4),sk_c5) equal(multiply(sk_c1,sk_c3),sk_c3)**.
% 0.18/0.49 985[5:Rew:976.0,918.1] || -> equal(inverse(sk_c6),sk_c3) equal(multiply(sk_c1,sk_c3),sk_c3)**.
% 0.18/0.49 988[5:Rew:971.0,984.1] || -> equal(inverse(sk_c4),sk_c5)** equal(identity,sk_c3).
% 0.18/0.49 989[5:Rew:971.0,985.1] || -> equal(inverse(sk_c6),sk_c3)** equal(identity,sk_c3).
% 0.18/0.49 990[5:Rew:971.0,980.1] || -> equal(multiply(sk_c6,sk_c3),sk_c7)** equal(identity,sk_c3).
% 0.18/0.49 991[5:Rew:971.0,981.1] || -> equal(multiply(sk_c3,sk_c7),sk_c8)** equal(identity,sk_c3).
% 0.18/0.49 994[6:Spt:988.1] || -> equal(identity,sk_c3)**.
% 0.18/0.49 995[6:Rew:994.0,32.0] || -> equal(multiply(sk_c3,u),u)**.
% 0.18/0.49 996[6:Rew:994.0,332.0] || -> equal(multiply(u,sk_c3),u)**.
% 0.18/0.49 998[6:Rew:994.0,951.0] || -> equal(inverse(sk_c3),sk_c3)**.
% 0.18/0.49 1001[6:Rew:966.0,998.0] || -> equal(sk_c3,sk_c1)**.
% 0.18/0.49 1003[6:Rew:1001.0,899.0] || -> equal(inverse(sk_c1),sk_c1)**.
% 0.18/0.49 1004[6:Rew:1001.0,901.0] || -> equal(multiply(sk_c1,sk_c8),sk_c1)**.
% 0.18/0.49 1013[6:Rew:1001.0,923.0] || equal(inverse(u),sk_c1) equal(inverse(v),sk_c3) equal(multiply(v,sk_c8),sk_c3)** equal(multiply(sk_c3,multiply(u,sk_c3)),sk_c8)** -> .
% 0.18/0.49 1016[6:Rew:1001.0,995.0] || -> equal(multiply(sk_c1,u),u)**.
% 0.18/0.49 1017[6:Rew:1001.0,996.0] || -> equal(multiply(u,sk_c1),u)**.
% 0.18/0.49 1018[6:Rew:1016.0,1004.0] || -> equal(sk_c8,sk_c1)**.
% 0.18/0.49 1025[6:Rew:1017.0,1013.3,1016.0,1013.3,1001.0,1013.3,1018.0,1013.3,1017.0,1013.2,1018.0,1013.2,1001.0,1013.2,1001.0,1013.1] || equal(inverse(u),sk_c1)** equal(inverse(v),sk_c1)** equal(v,sk_c1) equal(u,sk_c1) -> .
% 0.18/0.49 1026[6:Con:1025.0] || equal(inverse(u),sk_c1)** equal(u,sk_c1) -> .
% 0.18/0.49 1044[0:SpR:956.0,78.0] || -> equal(multiply(u,multiply(inverse(u),v)),v)**.
% 0.18/0.49 1088[6:SpL:1003.0,1026.0] || equal(sk_c1,sk_c1)* equal(sk_c1,sk_c1)* -> .
% 0.18/0.49 1090[6:Obv:1088.1] || -> .
% 0.18/0.49 1091[6:Spt:1090.0,988.1,994.0] || equal(identity,sk_c3)** -> .
% 0.18/0.49 1092[6:Spt:1090.0,988.0] || -> equal(inverse(sk_c4),sk_c5)**.
% 0.18/0.49 1093[6:MRR:989.1,1091.0] || -> equal(inverse(sk_c6),sk_c3)**.
% 0.18/0.49 1094[6:MRR:990.1,1091.0] || -> equal(multiply(sk_c6,sk_c3),sk_c7)**.
% 0.18/0.49 1095[6:MRR:991.1,1091.0] || -> equal(multiply(sk_c3,sk_c7),sk_c8)**.
% 0.18/0.49 1118[6:SpR:1093.0,956.0] || -> equal(inverse(sk_c3),sk_c6)**.
% 0.18/0.49 1119[6:SpR:1093.0,1044.0] || -> equal(multiply(sk_c6,multiply(sk_c3,u)),u)**.
% 0.18/0.49 1121[6:Rew:966.0,1118.0] || -> equal(sk_c6,sk_c1)**.
% 0.18/0.49 1123[6:Rew:1121.0,1094.0] || -> equal(multiply(sk_c1,sk_c3),sk_c7)**.
% 0.18/0.49 1124[6:Rew:971.0,1123.0] || -> equal(identity,sk_c7)**.
% 0.18/0.49 1125[6:Rew:1124.0,1091.0] || equal(sk_c3,sk_c7)** -> .
% 0.18/0.49 1126[6:Rew:1124.0,951.0] || -> equal(inverse(sk_c7),sk_c7)**.
% 0.18/0.49 1127[6:Rew:1124.0,953.0] || -> equal(multiply(sk_c3,sk_c1),sk_c7)**.
% 0.18/0.49 1128[6:Rew:1124.0,332.0] || -> equal(multiply(u,sk_c7),u)**.
% 0.18/0.49 1132[6:Rew:1128.0,1095.0] || -> equal(sk_c3,sk_c8)**.
% 0.18/0.49 1135[6:Rew:1132.0,899.0] || -> equal(inverse(sk_c1),sk_c8)**.
% 0.18/0.49 1139[6:Rew:1132.0,914.0] || -> equal(multiply(sk_c1,multiply(sk_c8,u)),multiply(sk_c8,u))**.
% 0.18/0.49 1148[6:Rew:1132.0,1125.0] || equal(sk_c7,sk_c8)** -> .
% 0.18/0.49 1149[6:Rew:1132.0,1127.0] || -> equal(multiply(sk_c8,sk_c1),sk_c7)**.
% 0.18/0.49 1154[6:Rew:1121.0,1119.0,1132.0,1119.0] || -> equal(multiply(sk_c1,multiply(sk_c8,u)),u)**.
% 0.18/0.49 1155[6:Rew:1154.0,1139.0] || -> equal(multiply(sk_c8,u),u)**.
% 0.18/0.49 1156[6:Rew:1155.0,1149.0] || -> equal(sk_c7,sk_c1)**.
% 0.18/0.49 1160[6:Rew:1156.0,1126.0] || -> equal(inverse(sk_c1),sk_c1)**.
% 0.18/0.49 1162[6:Rew:1156.0,1148.0] || equal(sk_c8,sk_c1)** -> .
% 0.18/0.49 1166[6:Rew:1135.0,1160.0] || -> equal(sk_c8,sk_c1)**.
% 0.18/0.49 1174[6:Rew:1166.0,1162.0] || equal(sk_c1,sk_c1)* -> .
% 0.18/0.49 1175[6:Obv:1174.0] || -> .
% 0.18/0.49 1195[5:Spt:1175.0,14.1,889.0] || equal(multiply(sk_c9,sk_c3),sk_c8)** -> .
% 0.18/0.49 1196[5:Spt:1175.0,14.0] || -> equal(inverse(sk_c4),sk_c5)**.
% 0.18/0.49 1197[5:MRR:18.1,1195.0] || -> equal(inverse(sk_c6),sk_c9)**.
% 0.18/0.49 1199[5:MRR:16.1,1195.0] || -> equal(multiply(sk_c9,sk_c7),sk_c8)**.
% 0.18/0.49 1200[5:MRR:15.1,1195.0] || -> equal(multiply(sk_c5,sk_c8),sk_c9)**.
% 0.18/0.49 1201[5:MRR:13.1,1195.0] || -> equal(multiply(sk_c4,sk_c5),sk_c9)**.
% 0.18/0.49 1204[5:SpR:1196.0,1044.0] || -> equal(multiply(sk_c4,multiply(sk_c5,u)),u)**.
% 0.18/0.49 1207[5:SpR:1197.0,956.0] || -> equal(inverse(sk_c9),sk_c6)**.
% 0.18/0.49 1219[3:SpR:881.0,956.0] || -> equal(inverse(sk_c9),sk_c2)**.
% 0.18/0.49 1229[2:SpR:878.0,956.0] || -> equal(inverse(sk_c9),sk_c1)**.
% 0.18/0.49 1232[5:Rew:1207.0,1229.0] || -> equal(sk_c6,sk_c1)**.
% 0.18/0.49 1236[5:Rew:1232.0,1207.0] || -> equal(inverse(sk_c9),sk_c1)**.
% 0.18/0.49 1242[5:SpR:1199.0,78.0] || -> equal(multiply(inverse(sk_c9),sk_c8),sk_c7)**.
% 0.18/0.49 1244[5:Rew:884.0,1242.0,1236.0,1242.0] || -> equal(sk_c9,sk_c7)**.
% 0.18/0.49 1245[5:Rew:1244.0,878.0] || -> equal(inverse(sk_c1),sk_c7)**.
% 0.18/0.49 1246[5:Rew:1244.0,1199.0] || -> equal(multiply(sk_c7,sk_c7),sk_c8)**.
% 0.18/0.49 1254[5:Rew:1244.0,1200.0] || -> equal(multiply(sk_c5,sk_c8),sk_c7)**.
% 0.18/0.49 1255[5:Rew:1244.0,1201.0] || -> equal(multiply(sk_c4,sk_c5),sk_c7)**.
% 0.18/0.49 1258[5:Rew:1244.0,876.0] || equal(inverse(u),sk_c7) equal(inverse(v),sk_c9) equal(multiply(v,sk_c8),sk_c9)** equal(multiply(sk_c9,multiply(u,sk_c9)),sk_c8)** -> .
% 0.18/0.49 1263[5:Rew:1244.0,1258.3,1244.0,1258.2,1244.0,1258.1] || equal(inverse(u),sk_c7) equal(inverse(v),sk_c7) equal(multiply(v,sk_c8),sk_c7)** equal(multiply(sk_c7,multiply(u,sk_c7)),sk_c8)** -> .
% 0.18/0.49 1294[5:SpR:1255.0,34.0] || -> equal(multiply(sk_c4,multiply(sk_c5,u)),multiply(sk_c7,u))**.
% 0.18/0.49 1295[5:SpR:1255.0,78.0] || -> equal(multiply(inverse(sk_c4),sk_c7),sk_c5)**.
% 0.18/0.49 1297[5:Rew:1196.0,1295.0] || -> equal(multiply(sk_c5,sk_c7),sk_c5)**.
% 0.18/0.49 1298[5:Rew:1204.0,1294.0] || -> equal(multiply(sk_c7,u),u)**.
% 0.18/0.49 1299[5:Rew:1298.0,1246.0] || -> equal(sk_c7,sk_c8)**.
% 0.18/0.49 1303[5:Rew:1298.0,1263.3] || equal(inverse(u),sk_c7) equal(inverse(v),sk_c7) equal(multiply(v,sk_c8),sk_c7)** equal(multiply(u,sk_c7),sk_c8)** -> .
% 0.18/0.49 1311[5:Rew:1299.0,1245.0] || -> equal(inverse(sk_c1),sk_c8)**.
% 0.18/0.49 1314[5:Rew:1299.0,1254.0] || -> equal(multiply(sk_c5,sk_c8),sk_c8)**.
% 0.18/0.49 1318[5:Rew:1299.0,1297.0] || -> equal(multiply(sk_c5,sk_c8),sk_c5)**.
% 0.18/0.49 1319[5:Rew:1299.0,1298.0] || -> equal(multiply(sk_c8,u),u)**.
% 0.18/0.49 1320[5:Rew:1314.0,1318.0] || -> equal(sk_c8,sk_c5)**.
% 0.18/0.49 1321[5:Rew:1320.0,1299.0] || -> equal(sk_c7,sk_c5)**.
% 0.18/0.49 1324[5:Rew:1320.0,1311.0] || -> equal(inverse(sk_c1),sk_c5)**.
% 0.18/0.49 1334[5:Rew:1320.0,1319.0] || -> equal(multiply(sk_c5,u),u)**.
% 0.18/0.49 1342[5:Rew:1321.0,1303.3,1320.0,1303.3,1320.0,1303.2,1321.0,1303.2,1321.0,1303.1,1321.0,1303.0] || equal(inverse(u),sk_c5) equal(inverse(v),sk_c5) equal(multiply(v,sk_c5),sk_c5)** equal(multiply(u,sk_c5),sk_c5)** -> .
% 0.18/0.49 1343[5:Con:1342.0] || equal(inverse(u),sk_c5) equal(multiply(u,sk_c5),sk_c5)** -> .
% 0.18/0.49 1386[5:SpR:1324.0,33.0] || -> equal(multiply(sk_c5,sk_c1),identity)**.
% 0.18/0.49 1388[5:Rew:1334.0,1386.0] || -> equal(identity,sk_c1)**.
% 0.18/0.49 1389[5:Rew:1388.0,951.0] || -> equal(inverse(sk_c1),sk_c1)**.
% 0.18/0.49 1391[5:Rew:1388.0,332.0] || -> equal(multiply(u,sk_c1),u)**.
% 0.18/0.49 1394[5:Rew:1324.0,1389.0] || -> equal(sk_c5,sk_c1)**.
% 0.18/0.49 1399[5:Rew:1394.0,1324.0] || -> equal(inverse(sk_c1),sk_c1)**.
% 0.18/0.49 1402[5:Rew:1394.0,1343.0] || equal(inverse(u),sk_c1) equal(multiply(u,sk_c5),sk_c5)** -> .
% 0.18/0.49 1409[5:Rew:1391.0,1402.1,1394.0,1402.1] || equal(inverse(u),sk_c1)** equal(u,sk_c1) -> .
% 0.18/0.49 1455[5:SpL:1399.0,1409.0] || equal(sk_c1,sk_c1)* equal(sk_c1,sk_c1)* -> .
% 0.18/0.49 1456[5:Obv:1455.1] || -> .
% 0.18/0.49 1457[4:Spt:1456.0,8.1,884.0] || equal(multiply(sk_c1,sk_c8),sk_c9)** -> .
% 0.18/0.49 1458[4:Spt:1456.0,8.0] || -> equal(inverse(sk_c4),sk_c5)**.
% 0.18/0.49 1459[3:Rew:1219.0,1229.0] || -> equal(sk_c2,sk_c1)**.
% 0.18/0.49 1460[3:Rew:1459.0,1219.0] || -> equal(inverse(sk_c9),sk_c1)**.
% 0.18/0.49 1462[3:Rew:1459.0,882.0] || -> equal(multiply(sk_c9,multiply(sk_c1,u)),u)**.
% 0.18/0.49 1467[4:MRR:12.1,1457.0] || -> equal(inverse(sk_c6),sk_c9)**.
% 0.18/0.49 1473[4:MRR:11.1,1457.0] || -> equal(multiply(sk_c6,sk_c9),sk_c7)**.
% 0.18/0.49 1474[4:MRR:10.1,1457.0] || -> equal(multiply(sk_c9,sk_c7),sk_c8)**.
% 0.18/0.49 1476[4:MRR:7.1,1457.0] || -> equal(multiply(sk_c4,sk_c5),sk_c9)**.
% 0.18/0.49 1479[4:SpR:1458.0,1044.0] || -> equal(multiply(sk_c4,multiply(sk_c5,u)),u)**.
% 0.18/0.49 1487[4:SpR:1467.0,956.0] || -> equal(inverse(sk_c9),sk_c6)**.
% 0.18/0.49 1490[4:Rew:1460.0,1487.0] || -> equal(sk_c6,sk_c1)**.
% 0.18/0.49 1492[4:Rew:1490.0,1473.0] || -> equal(multiply(sk_c1,sk_c9),sk_c7)**.
% 0.18/0.49 1511[4:SpR:1474.0,78.0] || -> equal(multiply(inverse(sk_c9),sk_c8),sk_c7)**.
% 0.18/0.49 1513[4:Rew:1460.0,1511.0] || -> equal(multiply(sk_c1,sk_c8),sk_c7)**.
% 0.18/0.49 1514[4:Rew:1513.0,1457.0] || equal(sk_c9,sk_c7)** -> .
% 0.18/0.49 1519[4:SpR:1476.0,34.0] || -> equal(multiply(sk_c4,multiply(sk_c5,u)),multiply(sk_c9,u))**.
% 0.18/0.49 1523[4:Rew:1479.0,1519.0] || -> equal(multiply(sk_c9,u),u)**.
% 0.18/0.49 1524[4:Rew:1523.0,1474.0] || -> equal(sk_c7,sk_c8)**.
% 0.18/0.49 1529[4:Rew:1523.0,1462.0] || -> equal(multiply(sk_c1,u),u)**.
% 0.18/0.49 1532[4:Rew:1524.0,1514.0] || equal(sk_c9,sk_c8)** -> .
% 0.18/0.49 1533[4:Rew:1524.0,1492.0] || -> equal(multiply(sk_c1,sk_c9),sk_c8)**.
% 0.18/0.49 1535[4:Rew:1529.0,1533.0] || -> equal(sk_c9,sk_c8)**.
% 0.18/0.49 1536[4:MRR:1535.0,1532.0] || -> .
% 0.18/0.49 1538[3:Spt:1536.0,30.1,881.0] || equal(inverse(sk_c2),sk_c9)** -> .
% 0.18/0.49 1539[3:Spt:1536.0,30.0] || -> equal(inverse(sk_c6),sk_c9)**.
% 0.18/0.49 1540[3:MRR:26.1,1538.0] || -> equal(inverse(sk_c4),sk_c5)**.
% 0.18/0.49 1541[3:MRR:29.0,1538.0] || -> equal(multiply(sk_c6,sk_c9),sk_c7)**.
% 0.18/0.49 1542[3:MRR:28.0,1538.0] || -> equal(multiply(sk_c9,sk_c7),sk_c8)**.
% 0.18/0.49 1543[3:MRR:27.0,1538.0] || -> equal(multiply(sk_c5,sk_c8),sk_c9)**.
% 0.18/0.49 1544[3:MRR:25.0,1538.0] || -> equal(multiply(sk_c4,sk_c5),sk_c9)**.
% 0.18/0.49 1546[3:SpR:1539.0,956.0] || -> equal(inverse(sk_c9),sk_c6)**.
% 0.18/0.49 1549[3:Rew:1229.0,1546.0] || -> equal(sk_c6,sk_c1)**.
% 0.18/0.49 1551[3:Rew:1549.0,1541.0] || -> equal(multiply(sk_c1,sk_c9),sk_c7)**.
% 0.18/0.49 1557[3:SpR:1540.0,1044.0] || -> equal(multiply(sk_c4,multiply(sk_c5,u)),u)**.
% 0.18/0.49 1575[3:SpR:1544.0,34.0] || -> equal(multiply(sk_c4,multiply(sk_c5,u)),multiply(sk_c9,u))**.
% 0.18/0.49 1576[3:SpR:1544.0,78.0] || -> equal(multiply(inverse(sk_c4),sk_c9),sk_c5)**.
% 0.18/0.49 1578[3:Rew:1540.0,1576.0] || -> equal(multiply(sk_c5,sk_c9),sk_c5)**.
% 0.18/0.49 1579[3:Rew:1557.0,1575.0] || -> equal(multiply(sk_c9,u),u)**.
% 0.18/0.49 1580[3:Rew:1579.0,1542.0] || -> equal(sk_c7,sk_c8)**.
% 0.18/0.49 1584[3:Rew:1579.0,876.3] || equal(inverse(u),sk_c9) equal(inverse(v),sk_c9) equal(multiply(v,sk_c8),sk_c9)** equal(multiply(u,sk_c9),sk_c8)** -> .
% 0.18/0.49 1585[3:Rew:1579.0,879.0] || -> equal(multiply(sk_c1,u),u)**.
% 0.18/0.49 1588[3:Rew:1580.0,1551.0] || -> equal(multiply(sk_c1,sk_c9),sk_c8)**.
% 0.18/0.49 1590[3:Rew:1585.0,1588.0] || -> equal(sk_c9,sk_c8)**.
% 0.18/0.49 1591[3:Rew:1590.0,878.0] || -> equal(inverse(sk_c1),sk_c8)**.
% 0.18/0.49 1594[3:Rew:1590.0,1543.0] || -> equal(multiply(sk_c5,sk_c8),sk_c8)**.
% 0.18/0.49 1597[3:Rew:1590.0,1578.0] || -> equal(multiply(sk_c5,sk_c8),sk_c5)**.
% 0.18/0.49 1599[3:Rew:1594.0,1597.0] || -> equal(sk_c8,sk_c5)**.
% 0.18/0.49 1601[3:Rew:1599.0,1590.0] || -> equal(sk_c9,sk_c5)**.
% 0.18/0.49 1602[3:Rew:1599.0,1591.0] || -> equal(inverse(sk_c1),sk_c5)**.
% 0.18/0.49 1620[3:Rew:1601.0,1584.3,1599.0,1584.3,1599.0,1584.2,1601.0,1584.2,1601.0,1584.1,1601.0,1584.0] || equal(inverse(u),sk_c5) equal(inverse(v),sk_c5) equal(multiply(v,sk_c5),sk_c5)** equal(multiply(u,sk_c5),sk_c5)** -> .
% 0.18/0.49 1621[3:Con:1620.0] || equal(inverse(u),sk_c5) equal(multiply(u,sk_c5),sk_c5)** -> .
% 0.18/0.49 1657[3:SpR:1585.0,332.0] || -> equal(identity,sk_c1)**.
% 0.18/0.49 1659[3:Rew:1657.0,951.0] || -> equal(inverse(sk_c1),sk_c1)**.
% 0.18/0.49 1660[3:Rew:1657.0,332.0] || -> equal(multiply(u,sk_c1),u)**.
% 0.18/0.49 1664[3:Rew:1602.0,1659.0] || -> equal(sk_c5,sk_c1)**.
% 0.18/0.49 1669[3:Rew:1664.0,1602.0] || -> equal(inverse(sk_c1),sk_c1)**.
% 0.18/0.49 1672[3:Rew:1664.0,1621.0] || equal(inverse(u),sk_c1) equal(multiply(u,sk_c5),sk_c5)** -> .
% 0.18/0.49 1675[3:Rew:1660.0,1672.1,1664.0,1672.1] || equal(inverse(u),sk_c1)** equal(u,sk_c1) -> .
% 0.18/0.49 1715[3:SpL:1669.0,1675.0] || equal(sk_c1,sk_c1)* equal(sk_c1,sk_c1)* -> .
% 0.18/0.49 1716[3:Obv:1715.1] || -> .
% 0.18/0.49 1717[2:Spt:1716.0,2.1,878.0] || equal(inverse(sk_c1),sk_c9)** -> .
% 0.18/0.49 1718[2:Spt:1716.0,2.0] || -> equal(inverse(sk_c4),sk_c5)**.
% 0.18/0.49 1719[2:MRR:6.1,1717.0] || -> equal(inverse(sk_c6),sk_c9)**.
% 0.18/0.49 1720[2:MRR:5.0,1717.0] || -> equal(multiply(sk_c6,sk_c9),sk_c7)**.
% 0.18/0.49 1721[2:MRR:4.0,1717.0] || -> equal(multiply(sk_c9,sk_c7),sk_c8)**.
% 0.18/0.49 1722[2:MRR:3.0,1717.0] || -> equal(multiply(sk_c5,sk_c8),sk_c9)**.
% 0.18/0.49 1723[2:MRR:1.0,1717.0] || -> equal(multiply(sk_c4,sk_c5),sk_c9)**.
% 0.18/0.49 1725[2:SpR:1718.0,956.0] || -> equal(inverse(sk_c5),sk_c4)**.
% 0.18/0.49 1735[2:SpR:1719.0,956.0] || -> equal(inverse(sk_c9),sk_c6)**.
% 0.18/0.49 1736[2:SpR:1719.0,1044.0] || -> equal(multiply(sk_c6,multiply(sk_c9,u)),u)**.
% 0.18/0.49 1746[2:SpR:1720.0,34.0] || -> equal(multiply(sk_c6,multiply(sk_c9,u)),multiply(sk_c7,u))**.
% 0.18/0.49 1747[2:SpR:1720.0,78.0] || -> equal(multiply(inverse(sk_c6),sk_c7),sk_c9)**.
% 0.18/0.49 1749[2:Rew:1719.0,1747.0] || -> equal(multiply(sk_c9,sk_c7),sk_c9)**.
% 0.18/0.49 1750[2:Rew:1721.0,1749.0] || -> equal(sk_c9,sk_c8)**.
% 0.18/0.49 1753[2:Rew:1750.0,1735.0] || -> equal(inverse(sk_c8),sk_c6)**.
% 0.18/0.49 1754[2:Rew:1750.0,1720.0] || -> equal(multiply(sk_c6,sk_c8),sk_c7)**.
% 0.18/0.49 1756[2:Rew:1750.0,1722.0] || -> equal(multiply(sk_c5,sk_c8),sk_c8)**.
% 0.18/0.49 1757[2:Rew:1750.0,1723.0] || -> equal(multiply(sk_c4,sk_c5),sk_c8)**.
% 0.18/0.49 1759[2:Rew:1750.0,876.0] || equal(inverse(u),sk_c8) equal(inverse(v),sk_c9) equal(multiply(v,sk_c8),sk_c9)** equal(multiply(sk_c9,multiply(u,sk_c9)),sk_c8)** -> .
% 0.18/0.49 1762[2:Rew:1750.0,1736.0] || -> equal(multiply(sk_c6,multiply(sk_c8,u)),u)**.
% 0.18/0.49 1763[2:Rew:1762.0,1746.0,1750.0,1746.0] || -> equal(multiply(sk_c7,u),u)**.
% 0.18/0.49 1764[2:Rew:1750.0,1759.3,1750.0,1759.2,1750.0,1759.1] || equal(inverse(u),sk_c8) equal(inverse(v),sk_c8) equal(multiply(v,sk_c8),sk_c8)** equal(multiply(sk_c8,multiply(u,sk_c8)),sk_c8)** -> .
% 0.18/0.49 1791[2:SpR:1757.0,78.0] || -> equal(multiply(inverse(sk_c4),sk_c8),sk_c5)**.
% 0.18/0.49 1793[2:Rew:1756.0,1791.0,1718.0,1791.0] || -> equal(sk_c8,sk_c5)**.
% 0.18/0.49 1796[2:Rew:1793.0,1753.0] || -> equal(inverse(sk_c5),sk_c6)**.
% 0.18/0.49 1798[2:Rew:1793.0,1754.0] || -> equal(multiply(sk_c6,sk_c5),sk_c7)**.
% 0.18/0.49 1801[2:Rew:1793.0,1757.0] || -> equal(multiply(sk_c4,sk_c5),sk_c5)**.
% 0.18/0.49 1806[2:Rew:1793.0,1764.0] || equal(inverse(u),sk_c5) equal(inverse(v),sk_c8) equal(multiply(v,sk_c8),sk_c8)** equal(multiply(sk_c8,multiply(u,sk_c8)),sk_c8)** -> .
% 0.18/0.49 1809[2:Rew:1725.0,1796.0] || -> equal(sk_c6,sk_c4)**.
% 0.18/0.49 1811[2:Rew:1809.0,1798.0] || -> equal(multiply(sk_c4,sk_c5),sk_c7)**.
% 0.18/0.49 1812[2:Rew:1811.0,1801.0] || -> equal(sk_c7,sk_c5)**.
% 0.18/0.49 1813[2:Rew:1812.0,1763.0] || -> equal(multiply(sk_c5,u),u)**.
% 0.18/0.49 1821[2:Rew:1813.0,1806.3,1793.0,1806.3,1793.0,1806.2,1793.0,1806.1] || equal(inverse(u),sk_c5) equal(inverse(v),sk_c5) equal(multiply(v,sk_c5),sk_c5)** equal(multiply(u,sk_c5),sk_c5)** -> .
% 0.18/0.49 1822[2:Con:1821.0] || equal(inverse(u),sk_c5) equal(multiply(u,sk_c5),sk_c5)** -> .
% 0.18/0.49 1846[2:SpR:1813.0,332.0] || -> equal(identity,sk_c5)**.
% 0.18/0.49 1848[2:Rew:1846.0,951.0] || -> equal(inverse(sk_c5),sk_c5)**.
% 0.18/0.49 1850[2:Rew:1846.0,332.0] || -> equal(multiply(u,sk_c5),u)**.
% 0.18/0.49 1853[2:Rew:1725.0,1848.0] || -> equal(sk_c5,sk_c4)**.
% 0.18/0.49 1854[2:Rew:1853.0,1718.0] || -> equal(inverse(sk_c4),sk_c4)**.
% 0.18/0.49 1861[2:Rew:1853.0,1822.0] || equal(inverse(u),sk_c4) equal(multiply(u,sk_c5),sk_c5)** -> .
% 0.18/0.49 1864[2:Rew:1853.0,1850.0] || -> equal(multiply(u,sk_c4),u)**.
% 0.18/0.49 1870[2:Rew:1864.0,1861.1,1853.0,1861.1] || equal(inverse(u),sk_c4)** equal(u,sk_c4) -> .
% 0.18/0.49 1916[2:SpL:1854.0,1870.0] || equal(sk_c4,sk_c4)* equal(sk_c4,sk_c4)* -> .
% 0.18/0.49 1917[2:Obv:1916.1] || -> .
% 0.18/0.49 % SZS output end Refutation
% 0.18/0.49 Formulae used in the proof : prove_this_1 prove_this_2 prove_this_3 prove_this_4 prove_this_5 prove_this_6 prove_this_7 prove_this_8 prove_this_9 prove_this_10 prove_this_11 prove_this_12 prove_this_13 prove_this_14 prove_this_15 prove_this_16 prove_this_17 prove_this_18 prove_this_19 prove_this_20 prove_this_21 prove_this_22 prove_this_23 prove_this_24 prove_this_25 prove_this_26 prove_this_27 prove_this_28 prove_this_29 prove_this_30 prove_this_31 left_identity left_inverse associativity
% 0.18/0.49
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