TSTP Solution File: GRP217-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GRP217-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n011.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 11:46:22 EDT 2022
% Result : Unsatisfiable 0.35s 0.57s
% Output : Refutation 0.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP217-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n011.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 : Mon Jun 13 21:30:19 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.35/0.57
% 0.35/0.57 SPASS V 3.9
% 0.35/0.57 SPASS beiseite: Proof found.
% 0.35/0.57 % SZS status Theorem
% 0.35/0.57 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/0.57 SPASS derived 1988 clauses, backtracked 586 clauses, performed 13 splits and kept 1280 clauses.
% 0.35/0.57 SPASS allocated 64636 KBytes.
% 0.35/0.57 SPASS spent 0:00:00.23 on the problem.
% 0.35/0.57 0:00:00.03 for the input.
% 0.35/0.57 0:00:00.00 for the FLOTTER CNF translation.
% 0.35/0.57 0:00:00.02 for inferences.
% 0.35/0.57 0:00:00.00 for the backtracking.
% 0.35/0.57 0:00:00.15 for the reduction.
% 0.35/0.57
% 0.35/0.57
% 0.35/0.57 Here is a proof with depth 5, length 552 :
% 0.35/0.57 % SZS output start Refutation
% 0.35/0.57 1[0:Inp] || -> equal(inverse(sk_c1),sk_c11) equal(multiply(sk_c6,sk_c7),sk_c11)**.
% 0.35/0.57 2[0:Inp] || -> equal(inverse(sk_c6),sk_c7)** equal(inverse(sk_c1),sk_c11).
% 0.35/0.57 3[0:Inp] || -> equal(inverse(sk_c1),sk_c11) equal(multiply(sk_c7,sk_c10),sk_c11)**.
% 0.35/0.57 4[0:Inp] || -> equal(inverse(sk_c1),sk_c11) equal(multiply(sk_c11,sk_c9),sk_c10)**.
% 0.35/0.57 5[0:Inp] || -> equal(inverse(sk_c1),sk_c11) equal(multiply(sk_c8,sk_c11),sk_c9)**.
% 0.35/0.57 6[0:Inp] || -> equal(inverse(sk_c8),sk_c11)** equal(inverse(sk_c1),sk_c11).
% 0.35/0.57 8[0:Inp] || -> equal(inverse(sk_c6),sk_c7) equal(multiply(sk_c1,sk_c10),sk_c11)**.
% 0.35/0.57 9[0:Inp] || -> equal(multiply(sk_c7,sk_c10),sk_c11)** equal(multiply(sk_c1,sk_c10),sk_c11).
% 0.35/0.57 10[0:Inp] || -> equal(multiply(sk_c11,sk_c9),sk_c10)** equal(multiply(sk_c1,sk_c10),sk_c11).
% 0.35/0.57 11[0:Inp] || -> equal(multiply(sk_c8,sk_c11),sk_c9)** equal(multiply(sk_c1,sk_c10),sk_c11).
% 0.35/0.57 12[0:Inp] || -> equal(inverse(sk_c8),sk_c11) equal(multiply(sk_c1,sk_c10),sk_c11)**.
% 0.35/0.57 13[0:Inp] || -> equal(multiply(sk_c6,sk_c7),sk_c11) equal(multiply(sk_c2,sk_c3),sk_c10)**.
% 0.35/0.57 14[0:Inp] || -> equal(inverse(sk_c6),sk_c7) equal(multiply(sk_c2,sk_c3),sk_c10)**.
% 0.35/0.57 17[0:Inp] || -> equal(multiply(sk_c8,sk_c11),sk_c9) equal(multiply(sk_c2,sk_c3),sk_c10)**.
% 0.35/0.57 18[0:Inp] || -> equal(inverse(sk_c8),sk_c11) equal(multiply(sk_c2,sk_c3),sk_c10)**.
% 0.35/0.57 19[0:Inp] || -> equal(inverse(sk_c2),sk_c3) equal(multiply(sk_c6,sk_c7),sk_c11)**.
% 0.35/0.57 20[0:Inp] || -> equal(inverse(sk_c6),sk_c7) equal(inverse(sk_c2),sk_c3)**.
% 0.35/0.57 21[0:Inp] || -> equal(inverse(sk_c2),sk_c3) equal(multiply(sk_c7,sk_c10),sk_c11)**.
% 0.35/0.57 22[0:Inp] || -> equal(inverse(sk_c2),sk_c3) equal(multiply(sk_c11,sk_c9),sk_c10)**.
% 0.35/0.57 23[0:Inp] || -> equal(inverse(sk_c2),sk_c3) equal(multiply(sk_c8,sk_c11),sk_c9)**.
% 0.35/0.57 24[0:Inp] || -> equal(inverse(sk_c8),sk_c11) equal(inverse(sk_c2),sk_c3)**.
% 0.35/0.57 25[0:Inp] || -> equal(multiply(sk_c6,sk_c7),sk_c11) equal(multiply(sk_c3,sk_c11),sk_c10)**.
% 0.35/0.57 26[0:Inp] || -> equal(inverse(sk_c6),sk_c7) equal(multiply(sk_c3,sk_c11),sk_c10)**.
% 0.35/0.57 29[0:Inp] || -> equal(multiply(sk_c8,sk_c11),sk_c9) equal(multiply(sk_c3,sk_c11),sk_c10)**.
% 0.35/0.57 30[0:Inp] || -> equal(inverse(sk_c8),sk_c11) equal(multiply(sk_c3,sk_c11),sk_c10)**.
% 0.35/0.57 31[0:Inp] || -> equal(multiply(sk_c6,sk_c7),sk_c11) equal(multiply(sk_c11,sk_c5),sk_c10)**.
% 0.35/0.57 32[0:Inp] || -> equal(inverse(sk_c6),sk_c7) equal(multiply(sk_c11,sk_c5),sk_c10)**.
% 0.35/0.57 34[0:Inp] || -> equal(multiply(sk_c11,sk_c9),sk_c10) equal(multiply(sk_c11,sk_c5),sk_c10)**.
% 0.35/0.57 35[0:Inp] || -> equal(multiply(sk_c8,sk_c11),sk_c9) equal(multiply(sk_c11,sk_c5),sk_c10)**.
% 0.35/0.57 36[0:Inp] || -> equal(inverse(sk_c8),sk_c11) equal(multiply(sk_c11,sk_c5),sk_c10)**.
% 0.35/0.57 37[0:Inp] || -> equal(multiply(sk_c6,sk_c7),sk_c11) equal(multiply(sk_c4,sk_c11),sk_c5)**.
% 0.35/0.57 38[0:Inp] || -> equal(inverse(sk_c6),sk_c7) equal(multiply(sk_c4,sk_c11),sk_c5)**.
% 0.35/0.57 40[0:Inp] || -> equal(multiply(sk_c11,sk_c9),sk_c10)** equal(multiply(sk_c4,sk_c11),sk_c5).
% 0.35/0.57 41[0:Inp] || -> equal(multiply(sk_c8,sk_c11),sk_c9) equal(multiply(sk_c4,sk_c11),sk_c5)**.
% 0.35/0.57 42[0:Inp] || -> equal(inverse(sk_c8),sk_c11) equal(multiply(sk_c4,sk_c11),sk_c5)**.
% 0.35/0.57 43[0:Inp] || -> equal(inverse(sk_c4),sk_c11) equal(multiply(sk_c6,sk_c7),sk_c11)**.
% 0.35/0.57 44[0:Inp] || -> equal(inverse(sk_c6),sk_c7) equal(inverse(sk_c4),sk_c11)**.
% 0.35/0.57 46[0:Inp] || -> equal(inverse(sk_c4),sk_c11) equal(multiply(sk_c11,sk_c9),sk_c10)**.
% 0.35/0.57 47[0:Inp] || -> equal(inverse(sk_c4),sk_c11) equal(multiply(sk_c8,sk_c11),sk_c9)**.
% 0.35/0.57 48[0:Inp] || -> equal(inverse(sk_c8),sk_c11) equal(inverse(sk_c4),sk_c11)**.
% 0.35/0.57 49[0:Inp] || equal(inverse(u),sk_c11) equal(multiply(u,sk_c10),sk_c11)** equal(multiply(v,w),sk_c10)** equal(inverse(v),w) equal(multiply(w,sk_c11),sk_c10)** equal(multiply(sk_c11,x),sk_c10)** equal(multiply(y,sk_c11),x)* equal(inverse(y),sk_c11) equal(multiply(z,x1),sk_c11)** equal(inverse(z),x1) equal(multiply(x1,sk_c10),sk_c11)** equal(multiply(sk_c11,x2),sk_c10)** equal(multiply(x3,sk_c11),x2)* equal(inverse(x3),sk_c11) -> .
% 0.35/0.57 50[0:Inp] || -> equal(multiply(identity,u),u)**.
% 0.35/0.57 51[0:Inp] || -> equal(multiply(inverse(u),u),identity)**.
% 0.35/0.57 52[0:Inp] || -> equal(multiply(multiply(u,v),w),multiply(u,multiply(v,w)))**.
% 0.35/0.57 53[0:Con:49.11] || equal(inverse(u),v) equal(inverse(w),x) equal(inverse(y),sk_c11) equal(inverse(z),sk_c11) equal(multiply(u,v),sk_c11)**+ equal(multiply(w,x),sk_c10)** equal(multiply(y,sk_c11),x1)* equal(multiply(v,sk_c10),sk_c11)** equal(multiply(x,sk_c11),sk_c10)** equal(multiply(z,sk_c10),sk_c11)** equal(multiply(sk_c11,x1),sk_c10)** -> .
% 0.35/0.57 54[1:Spt:53.0,53.4,53.7] || equal(inverse(u),v) equal(multiply(u,v),sk_c11)**+ equal(multiply(v,sk_c10),sk_c11)** -> .
% 0.35/0.57 55[2:Spt:44.0] || -> equal(inverse(sk_c6),sk_c7)**.
% 0.35/0.57 57[3:Spt:24.0] || -> equal(inverse(sk_c8),sk_c11)**.
% 0.35/0.57 59[4:Spt:23.1] || -> equal(multiply(sk_c8,sk_c11),sk_c9)**.
% 0.35/0.57 64[5:Spt:22.1] || -> equal(multiply(sk_c11,sk_c9),sk_c10)**.
% 0.35/0.57 68[1:SpL:50.0,54.1] || equal(inverse(identity),u) equal(u,sk_c11) equal(multiply(u,sk_c10),sk_c11)** -> .
% 0.35/0.57 69[6:Spt:21.1] || -> equal(multiply(sk_c7,sk_c10),sk_c11)**.
% 0.35/0.57 73[7:Spt:19.1] || -> equal(multiply(sk_c6,sk_c7),sk_c11)**.
% 0.35/0.57 75[7:SpL:73.0,54.1] || equal(inverse(sk_c6),sk_c7) equal(sk_c11,sk_c11) equal(multiply(sk_c7,sk_c10),sk_c11)** -> .
% 0.35/0.57 76[7:Obv:75.1] || equal(inverse(sk_c6),sk_c7) equal(multiply(sk_c7,sk_c10),sk_c11)** -> .
% 0.35/0.57 77[7:Rew:69.0,76.1,55.0,76.0] || equal(sk_c7,sk_c7) equal(sk_c11,sk_c11)* -> .
% 0.35/0.57 78[7:Obv:77.1] || -> .
% 0.35/0.57 79[7:Spt:78.0,19.1,73.0] || equal(multiply(sk_c6,sk_c7),sk_c11)** -> .
% 0.35/0.57 80[7:Spt:78.0,19.0] || -> equal(inverse(sk_c2),sk_c3)**.
% 0.35/0.57 85[7:MRR:25.0,79.0] || -> equal(multiply(sk_c3,sk_c11),sk_c10)**.
% 0.35/0.57 86[7:MRR:13.0,79.0] || -> equal(multiply(sk_c2,sk_c3),sk_c10)**.
% 0.35/0.57 100[7:SpL:86.0,54.1] || equal(inverse(sk_c2),sk_c3) equal(sk_c11,sk_c10) equal(multiply(sk_c3,sk_c10),sk_c11)** -> .
% 0.35/0.57 101[7:Rew:80.0,100.0] || equal(sk_c3,sk_c3) equal(sk_c11,sk_c10) equal(multiply(sk_c3,sk_c10),sk_c11)** -> .
% 0.35/0.57 102[7:Obv:101.0] || equal(sk_c11,sk_c10) equal(multiply(sk_c3,sk_c10),sk_c11)** -> .
% 0.35/0.57 109[3:SpR:57.0,51.0] || -> equal(multiply(sk_c11,sk_c8),identity)**.
% 0.35/0.57 117[3:SpL:109.0,54.1] || equal(inverse(sk_c11),sk_c8) equal(sk_c11,identity) equal(multiply(sk_c8,sk_c10),sk_c11)** -> .
% 0.35/0.57 131[3:SpR:109.0,52.0] || -> equal(multiply(sk_c11,multiply(sk_c8,u)),multiply(identity,u))**.
% 0.35/0.57 134[0:SpR:51.0,52.0] || -> equal(multiply(inverse(u),multiply(u,v)),multiply(identity,v))**.
% 0.35/0.57 139[3:Rew:50.0,131.0] || -> equal(multiply(sk_c11,multiply(sk_c8,u)),u)**.
% 0.35/0.57 143[0:Rew:50.0,134.0] || -> equal(multiply(inverse(u),multiply(u,v)),v)**.
% 0.35/0.57 153[4:SpR:59.0,139.0] || -> equal(multiply(sk_c11,sk_c9),sk_c11)**.
% 0.35/0.57 154[3:SpL:139.0,54.1] || equal(multiply(sk_c8,u),inverse(sk_c11)) equal(u,sk_c11) equal(multiply(multiply(sk_c8,u),sk_c10),sk_c11)** -> .
% 0.35/0.57 155[5:Rew:64.0,153.0] || -> equal(sk_c11,sk_c10)**.
% 0.35/0.57 158[5:Rew:155.0,59.0] || -> equal(multiply(sk_c8,sk_c10),sk_c9)**.
% 0.35/0.57 159[5:Rew:155.0,64.0] || -> equal(multiply(sk_c10,sk_c9),sk_c10)**.
% 0.35/0.57 165[7:Rew:155.0,85.0] || -> equal(multiply(sk_c3,sk_c10),sk_c10)**.
% 0.35/0.57 168[5:Rew:155.0,109.0] || -> equal(multiply(sk_c10,sk_c8),identity)**.
% 0.35/0.57 181[7:Rew:155.0,102.0] || equal(sk_c10,sk_c10) equal(multiply(sk_c3,sk_c10),sk_c11)** -> .
% 0.35/0.57 202[7:Obv:181.0] || equal(multiply(sk_c3,sk_c10),sk_c11)** -> .
% 0.35/0.57 203[7:Rew:165.0,202.0,155.0,202.0] || equal(sk_c10,sk_c10)* -> .
% 0.35/0.57 204[7:Obv:203.0] || -> .
% 0.35/0.57 218[3:Rew:52.0,154.2] || equal(multiply(sk_c8,u),inverse(sk_c11)) equal(u,sk_c11) equal(multiply(sk_c8,multiply(u,sk_c10)),sk_c11)** -> .
% 0.35/0.57 219[5:Rew:155.0,218.2,155.0,218.1,155.0,218.0] || equal(multiply(sk_c8,u),inverse(sk_c10)) equal(u,sk_c10) equal(multiply(sk_c8,multiply(u,sk_c10)),sk_c10)** -> .
% 0.35/0.57 221[6:Spt:204.0,21.1,69.0] || equal(multiply(sk_c7,sk_c10),sk_c11)** -> .
% 0.35/0.57 222[6:Spt:204.0,21.0] || -> equal(inverse(sk_c2),sk_c3)**.
% 0.35/0.57 223[6:Rew:155.0,221.0] || equal(multiply(sk_c7,sk_c10),sk_c10)** -> .
% 0.35/0.57 228[5:Rew:155.0,3.1,155.0,3.0] || -> equal(inverse(sk_c1),sk_c10) equal(multiply(sk_c7,sk_c10),sk_c10)**.
% 0.35/0.57 229[6:MRR:228.1,223.0] || -> equal(inverse(sk_c1),sk_c10)**.
% 0.35/0.57 243[5:Rew:155.0,9.1,155.0,9.0] || -> equal(multiply(sk_c7,sk_c10),sk_c10)** equal(multiply(sk_c1,sk_c10),sk_c10).
% 0.35/0.57 244[6:MRR:243.0,223.0] || -> equal(multiply(sk_c1,sk_c10),sk_c10)**.
% 0.35/0.57 252[6:SpR:229.0,51.0] || -> equal(multiply(sk_c10,sk_c1),identity)**.
% 0.35/0.57 277[6:SpR:252.0,52.0] || -> equal(multiply(sk_c10,multiply(sk_c1,u)),multiply(identity,u))**.
% 0.35/0.57 279[6:Rew:50.0,277.0] || -> equal(multiply(sk_c10,multiply(sk_c1,u)),u)**.
% 0.35/0.57 284[0:SpR:143.0,143.0] || -> equal(multiply(inverse(inverse(u)),v),multiply(u,v))**.
% 0.35/0.57 287[0:SpR:51.0,143.0] || -> equal(multiply(inverse(inverse(u)),identity),u)**.
% 0.35/0.57 295[5:SpR:159.0,143.0] || -> equal(multiply(inverse(sk_c10),sk_c10),sk_c9)**.
% 0.35/0.57 296[5:SpR:168.0,143.0] || -> equal(multiply(inverse(sk_c10),identity),sk_c8)**.
% 0.35/0.57 299[6:SpR:252.0,143.0] || -> equal(multiply(inverse(sk_c10),identity),sk_c1)**.
% 0.35/0.57 311[5:Rew:51.0,295.0] || -> equal(identity,sk_c9)**.
% 0.35/0.57 312[5:Rew:311.0,50.0] || -> equal(multiply(sk_c9,u),u)**.
% 0.35/0.57 315[5:Rew:311.0,168.0] || -> equal(multiply(sk_c10,sk_c8),sk_c9)**.
% 0.35/0.57 328[5:Rew:311.0,296.0] || -> equal(multiply(inverse(sk_c10),sk_c9),sk_c8)**.
% 0.35/0.57 339[6:Rew:328.0,299.0,311.0,299.0] || -> equal(sk_c8,sk_c1)**.
% 0.35/0.57 341[6:Rew:339.0,158.0] || -> equal(multiply(sk_c1,sk_c10),sk_c9)**.
% 0.35/0.57 343[6:Rew:339.0,219.0] || equal(multiply(sk_c1,u),inverse(sk_c10)) equal(u,sk_c10) equal(multiply(sk_c8,multiply(u,sk_c10)),sk_c10)** -> .
% 0.35/0.57 344[6:Rew:339.0,315.0] || -> equal(multiply(sk_c10,sk_c1),sk_c9)**.
% 0.35/0.57 347[6:Rew:244.0,341.0] || -> equal(sk_c9,sk_c10)**.
% 0.35/0.57 349[6:Rew:347.0,311.0] || -> equal(identity,sk_c10)**.
% 0.35/0.57 350[6:Rew:347.0,312.0] || -> equal(multiply(sk_c10,u),u)**.
% 0.35/0.57 355[6:Rew:347.0,344.0] || -> equal(multiply(sk_c10,sk_c1),sk_c10)**.
% 0.35/0.57 356[6:Rew:350.0,355.0] || -> equal(sk_c10,sk_c1)**.
% 0.35/0.57 357[6:Rew:350.0,279.0] || -> equal(multiply(sk_c1,u),u)**.
% 0.35/0.57 362[6:Rew:356.0,229.0] || -> equal(inverse(sk_c1),sk_c1)**.
% 0.35/0.57 371[6:Rew:356.0,349.0] || -> equal(identity,sk_c1)**.
% 0.35/0.57 393[6:Rew:371.0,287.0] || -> equal(multiply(inverse(inverse(u)),sk_c1),u)**.
% 0.35/0.57 406[6:Rew:284.0,393.0] || -> equal(multiply(u,sk_c1),u)**.
% 0.35/0.57 425[6:Rew:357.0,343.2,339.0,343.2,406.0,343.2,356.0,343.2,356.0,343.1,357.0,343.0,362.0,343.0,356.0,343.0] || equal(u,sk_c1)* equal(u,sk_c1)* equal(u,sk_c1)* -> .
% 0.35/0.57 426[6:Obv:425.1] || equal(u,sk_c1)* -> .
% 0.35/0.57 427[6:UnC:426.0,143.0] || -> .
% 0.35/0.57 429[5:Spt:427.0,22.1,64.0] || equal(multiply(sk_c11,sk_c9),sk_c10)** -> .
% 0.35/0.57 430[5:Spt:427.0,22.0] || -> equal(inverse(sk_c2),sk_c3)**.
% 0.35/0.57 432[5:Rew:153.0,429.0] || equal(sk_c11,sk_c10)** -> .
% 0.35/0.57 433[0:Rew:284.0,287.0] || -> equal(multiply(u,identity),u)**.
% 0.35/0.57 434[4:Rew:153.0,46.1] || -> equal(inverse(sk_c4),sk_c11)** equal(sk_c11,sk_c10).
% 0.35/0.57 435[5:MRR:434.1,432.0] || -> equal(inverse(sk_c4),sk_c11)**.
% 0.35/0.57 438[4:Rew:153.0,40.0] || -> equal(sk_c11,sk_c10) equal(multiply(sk_c4,sk_c11),sk_c5)**.
% 0.35/0.57 439[5:MRR:438.0,432.0] || -> equal(multiply(sk_c4,sk_c11),sk_c5)**.
% 0.35/0.57 440[4:Rew:153.0,34.0] || -> equal(sk_c11,sk_c10) equal(multiply(sk_c11,sk_c5),sk_c10)**.
% 0.35/0.57 441[5:MRR:440.0,432.0] || -> equal(multiply(sk_c11,sk_c5),sk_c10)**.
% 0.35/0.57 459[5:SpR:439.0,143.0] || -> equal(multiply(inverse(sk_c4),sk_c5),sk_c11)**.
% 0.35/0.57 461[5:Rew:435.0,459.0] || -> equal(multiply(sk_c11,sk_c5),sk_c11)**.
% 0.35/0.57 462[5:Rew:441.0,461.0] || -> equal(sk_c11,sk_c10)**.
% 0.35/0.57 463[5:MRR:462.0,432.0] || -> .
% 0.35/0.57 464[4:Spt:463.0,23.1,59.0] || equal(multiply(sk_c8,sk_c11),sk_c9)** -> .
% 0.35/0.57 465[4:Spt:463.0,23.0] || -> equal(inverse(sk_c2),sk_c3)**.
% 0.35/0.57 466[4:MRR:47.1,464.0] || -> equal(inverse(sk_c4),sk_c11)**.
% 0.35/0.57 467[4:MRR:5.1,464.0] || -> equal(inverse(sk_c1),sk_c11)**.
% 0.35/0.57 468[4:MRR:41.0,464.0] || -> equal(multiply(sk_c4,sk_c11),sk_c5)**.
% 0.35/0.57 469[4:MRR:35.0,464.0] || -> equal(multiply(sk_c11,sk_c5),sk_c10)**.
% 0.35/0.57 470[4:MRR:29.0,464.0] || -> equal(multiply(sk_c3,sk_c11),sk_c10)**.
% 0.35/0.57 471[4:MRR:17.0,464.0] || -> equal(multiply(sk_c2,sk_c3),sk_c10)**.
% 0.35/0.57 472[4:MRR:11.0,464.0] || -> equal(multiply(sk_c1,sk_c10),sk_c11)**.
% 0.35/0.57 480[3:SpR:109.0,143.0] || -> equal(multiply(inverse(sk_c11),identity),sk_c8)**.
% 0.35/0.57 482[3:Rew:433.0,480.0] || -> equal(inverse(sk_c11),sk_c8)**.
% 0.35/0.57 483[3:Rew:482.0,117.0] || equal(sk_c8,sk_c8) equal(sk_c11,identity) equal(multiply(sk_c8,sk_c10),sk_c11)** -> .
% 0.35/0.57 486[3:Obv:483.0] || equal(sk_c11,identity) equal(multiply(sk_c8,sk_c10),sk_c11)** -> .
% 0.35/0.57 487[3:SpR:482.0,143.0] || -> equal(multiply(sk_c8,multiply(sk_c11,u)),u)**.
% 0.35/0.57 490[4:SpR:468.0,143.0] || -> equal(multiply(inverse(sk_c4),sk_c5),sk_c11)**.
% 0.35/0.57 492[4:Rew:466.0,490.0] || -> equal(multiply(sk_c11,sk_c5),sk_c11)**.
% 0.35/0.57 493[4:Rew:469.0,492.0] || -> equal(sk_c11,sk_c10)**.
% 0.35/0.57 496[4:Rew:493.0,467.0] || -> equal(inverse(sk_c1),sk_c10)**.
% 0.35/0.57 497[4:Rew:493.0,109.0] || -> equal(multiply(sk_c10,sk_c8),identity)**.
% 0.35/0.57 498[4:Rew:493.0,482.0] || -> equal(inverse(sk_c10),sk_c8)**.
% 0.35/0.57 501[4:Rew:493.0,486.0] || equal(identity,sk_c10) equal(multiply(sk_c8,sk_c10),sk_c11)** -> .
% 0.35/0.57 509[4:Rew:493.0,469.0] || -> equal(multiply(sk_c10,sk_c5),sk_c10)**.
% 0.35/0.57 510[4:Rew:493.0,470.0] || -> equal(multiply(sk_c3,sk_c10),sk_c10)**.
% 0.35/0.57 511[4:Rew:493.0,472.0] || -> equal(multiply(sk_c1,sk_c10),sk_c10)**.
% 0.35/0.57 514[4:Rew:493.0,487.0] || -> equal(multiply(sk_c8,multiply(sk_c10,u)),u)**.
% 0.35/0.57 516[4:Rew:493.0,501.1] || equal(identity,sk_c10) equal(multiply(sk_c8,sk_c10),sk_c10)** -> .
% 0.35/0.57 531[4:SpR:471.0,143.0] || -> equal(multiply(inverse(sk_c2),sk_c10),sk_c3)**.
% 0.35/0.57 533[4:Rew:465.0,531.0] || -> equal(multiply(sk_c3,sk_c10),sk_c3)**.
% 0.35/0.57 534[4:Rew:510.0,533.0] || -> equal(sk_c3,sk_c10)**.
% 0.35/0.57 538[4:Rew:534.0,510.0] || -> equal(multiply(sk_c10,sk_c10),sk_c10)**.
% 0.35/0.57 565[4:SpR:509.0,143.0] || -> equal(multiply(inverse(sk_c10),sk_c10),sk_c5)**.
% 0.35/0.57 567[4:Rew:498.0,565.0] || -> equal(multiply(sk_c8,sk_c10),sk_c5)**.
% 0.35/0.57 569[4:Rew:567.0,516.1] || equal(identity,sk_c10)** equal(sk_c5,sk_c10) -> .
% 0.35/0.57 570[4:SpR:511.0,52.0] || -> equal(multiply(sk_c1,multiply(sk_c10,u)),multiply(sk_c10,u))**.
% 0.35/0.57 579[4:SpR:538.0,143.0] || -> equal(multiply(inverse(sk_c10),sk_c10),sk_c10)**.
% 0.35/0.57 581[4:Rew:498.0,579.0] || -> equal(multiply(sk_c8,sk_c10),sk_c10)**.
% 0.35/0.57 582[4:Rew:567.0,581.0] || -> equal(sk_c5,sk_c10)**.
% 0.35/0.57 588[4:Rew:582.0,567.0] || -> equal(multiply(sk_c8,sk_c10),sk_c10)**.
% 0.35/0.57 589[4:Rew:582.0,569.1] || equal(identity,sk_c10)** equal(sk_c10,sk_c10) -> .
% 0.35/0.57 590[4:Obv:589.1] || equal(identity,sk_c10)** -> .
% 0.35/0.57 596[4:SpR:588.0,52.0] || -> equal(multiply(sk_c8,multiply(sk_c10,u)),multiply(sk_c10,u))**.
% 0.35/0.57 600[4:Rew:514.0,596.0] || -> equal(multiply(sk_c10,u),u)**.
% 0.35/0.57 601[4:Rew:600.0,497.0] || -> equal(identity,sk_c8)**.
% 0.35/0.57 604[4:Rew:600.0,570.0] || -> equal(multiply(sk_c1,u),u)**.
% 0.35/0.57 611[4:Rew:601.0,590.0] || equal(sk_c8,sk_c10)** -> .
% 0.35/0.57 613[4:Rew:601.0,51.0] || -> equal(multiply(inverse(u),u),sk_c8)**.
% 0.35/0.57 628[4:SpR:496.0,613.0] || -> equal(multiply(sk_c10,sk_c1),sk_c8)**.
% 0.35/0.57 629[4:SpR:498.0,613.0] || -> equal(multiply(sk_c8,sk_c10),sk_c8)**.
% 0.35/0.57 635[4:Rew:600.0,628.0] || -> equal(sk_c8,sk_c1)**.
% 0.35/0.57 639[4:Rew:635.0,611.0] || equal(sk_c10,sk_c1)** -> .
% 0.35/0.57 645[4:Rew:604.0,629.0,635.0,629.0] || -> equal(sk_c10,sk_c1)**.
% 0.35/0.57 646[4:MRR:645.0,639.0] || -> .
% 0.35/0.57 656[3:Spt:646.0,24.0,57.0] || equal(inverse(sk_c8),sk_c11)** -> .
% 0.35/0.57 657[3:Spt:646.0,24.1] || -> equal(inverse(sk_c2),sk_c3)**.
% 0.35/0.57 658[3:MRR:48.0,656.0] || -> equal(inverse(sk_c4),sk_c11)**.
% 0.35/0.57 660[3:MRR:42.0,656.0] || -> equal(multiply(sk_c4,sk_c11),sk_c5)**.
% 0.35/0.57 661[3:MRR:36.0,656.0] || -> equal(multiply(sk_c11,sk_c5),sk_c10)**.
% 0.35/0.57 662[3:MRR:30.0,656.0] || -> equal(multiply(sk_c3,sk_c11),sk_c10)**.
% 0.35/0.57 663[3:MRR:18.0,656.0] || -> equal(multiply(sk_c2,sk_c3),sk_c10)**.
% 0.35/0.57 664[3:MRR:12.0,656.0] || -> equal(multiply(sk_c1,sk_c10),sk_c11)**.
% 0.35/0.57 679[3:SpR:660.0,143.0] || -> equal(multiply(inverse(sk_c4),sk_c5),sk_c11)**.
% 0.35/0.57 681[3:Rew:658.0,679.0] || -> equal(multiply(sk_c11,sk_c5),sk_c11)**.
% 0.35/0.57 682[3:Rew:661.0,681.0] || -> equal(sk_c11,sk_c10)**.
% 0.35/0.57 687[3:Rew:682.0,661.0] || -> equal(multiply(sk_c10,sk_c5),sk_c10)**.
% 0.35/0.57 688[3:Rew:682.0,662.0] || -> equal(multiply(sk_c3,sk_c10),sk_c10)**.
% 0.35/0.57 689[3:Rew:682.0,664.0] || -> equal(multiply(sk_c1,sk_c10),sk_c10)**.
% 0.35/0.57 690[3:Rew:682.0,68.1] || equal(inverse(identity),u) equal(u,sk_c10) equal(multiply(u,sk_c10),sk_c11)** -> .
% 0.35/0.57 699[3:Rew:682.0,690.2] || equal(inverse(identity),u) equal(u,sk_c10) equal(multiply(u,sk_c10),sk_c10)** -> .
% 0.35/0.57 709[3:SpR:663.0,143.0] || -> equal(multiply(inverse(sk_c2),sk_c10),sk_c3)**.
% 0.35/0.57 711[3:Rew:657.0,709.0] || -> equal(multiply(sk_c3,sk_c10),sk_c3)**.
% 0.35/0.57 712[3:Rew:688.0,711.0] || -> equal(sk_c3,sk_c10)**.
% 0.35/0.57 713[3:Rew:712.0,657.0] || -> equal(inverse(sk_c2),sk_c10)**.
% 0.35/0.57 714[3:Rew:712.0,663.0] || -> equal(multiply(sk_c2,sk_c10),sk_c10)**.
% 0.35/0.57 716[3:Rew:712.0,688.0] || -> equal(multiply(sk_c10,sk_c10),sk_c10)**.
% 0.35/0.57 726[3:SpR:687.0,143.0] || -> equal(multiply(inverse(sk_c10),sk_c10),sk_c5)**.
% 0.35/0.57 728[3:Rew:51.0,726.0] || -> equal(identity,sk_c5)**.
% 0.35/0.57 730[3:Rew:728.0,433.0] || -> equal(multiply(u,sk_c5),u)**.
% 0.35/0.57 733[3:Rew:728.0,699.0] || equal(inverse(sk_c5),u) equal(u,sk_c10) equal(multiply(u,sk_c10),sk_c10)** -> .
% 0.35/0.57 734[3:Rew:728.0,51.0] || -> equal(multiply(inverse(u),u),sk_c5)**.
% 0.35/0.57 749[3:SpR:716.0,143.0] || -> equal(multiply(inverse(sk_c10),sk_c10),sk_c10)**.
% 0.35/0.57 751[3:Rew:734.0,749.0] || -> equal(sk_c5,sk_c10)**.
% 0.35/0.57 755[3:Rew:751.0,730.0] || -> equal(multiply(u,sk_c10),u)**.
% 0.35/0.57 758[3:Rew:751.0,733.0] || equal(inverse(sk_c10),u) equal(u,sk_c10) equal(multiply(u,sk_c10),sk_c10)** -> .
% 0.35/0.57 762[3:Rew:755.0,714.0] || -> equal(sk_c2,sk_c10)**.
% 0.35/0.57 763[3:Rew:755.0,689.0] || -> equal(sk_c10,sk_c1)**.
% 0.35/0.57 767[3:Rew:762.0,713.0] || -> equal(inverse(sk_c10),sk_c10)**.
% 0.35/0.57 782[3:Rew:763.0,755.0] || -> equal(multiply(u,sk_c1),u)**.
% 0.35/0.57 785[3:Rew:763.0,767.0] || -> equal(inverse(sk_c1),sk_c1)**.
% 0.35/0.57 798[3:Rew:782.0,758.2,763.0,758.2,763.0,758.1,785.0,758.0,763.0,758.0] || equal(sk_c1,u)* equal(u,sk_c1)* equal(u,sk_c1)* -> .
% 0.35/0.57 799[3:Obv:798.1] || equal(u,sk_c1)* -> .
% 0.35/0.57 800[3:UnC:799.0,143.0] || -> .
% 0.35/0.57 805[2:Spt:800.0,44.0,55.0] || equal(inverse(sk_c6),sk_c7)** -> .
% 0.35/0.57 806[2:Spt:800.0,44.1] || -> equal(inverse(sk_c4),sk_c11)**.
% 0.35/0.57 807[2:MRR:20.0,805.0] || -> equal(inverse(sk_c2),sk_c3)**.
% 0.35/0.57 809[2:MRR:38.0,805.0] || -> equal(multiply(sk_c4,sk_c11),sk_c5)**.
% 0.35/0.57 810[2:MRR:32.0,805.0] || -> equal(multiply(sk_c11,sk_c5),sk_c10)**.
% 0.35/0.57 811[2:MRR:26.0,805.0] || -> equal(multiply(sk_c3,sk_c11),sk_c10)**.
% 0.35/0.57 812[2:MRR:14.0,805.0] || -> equal(multiply(sk_c2,sk_c3),sk_c10)**.
% 0.35/0.57 813[2:MRR:8.0,805.0] || -> equal(multiply(sk_c1,sk_c10),sk_c11)**.
% 0.35/0.57 821[2:SpR:809.0,143.0] || -> equal(multiply(inverse(sk_c4),sk_c5),sk_c11)**.
% 0.35/0.57 823[2:Rew:806.0,821.0] || -> equal(multiply(sk_c11,sk_c5),sk_c11)**.
% 0.35/0.57 824[2:Rew:810.0,823.0] || -> equal(sk_c11,sk_c10)**.
% 0.35/0.57 828[2:Rew:824.0,810.0] || -> equal(multiply(sk_c10,sk_c5),sk_c10)**.
% 0.35/0.57 829[2:Rew:824.0,811.0] || -> equal(multiply(sk_c3,sk_c10),sk_c10)**.
% 0.35/0.57 830[2:Rew:824.0,813.0] || -> equal(multiply(sk_c1,sk_c10),sk_c10)**.
% 0.35/0.57 831[2:Rew:824.0,68.1] || equal(inverse(identity),u) equal(u,sk_c10) equal(multiply(u,sk_c10),sk_c11)** -> .
% 0.35/0.57 838[2:Rew:824.0,831.2] || equal(inverse(identity),u) equal(u,sk_c10) equal(multiply(u,sk_c10),sk_c10)** -> .
% 0.35/0.57 848[2:SpR:812.0,143.0] || -> equal(multiply(inverse(sk_c2),sk_c10),sk_c3)**.
% 0.35/0.57 850[2:Rew:807.0,848.0] || -> equal(multiply(sk_c3,sk_c10),sk_c3)**.
% 0.35/0.57 851[2:Rew:829.0,850.0] || -> equal(sk_c3,sk_c10)**.
% 0.35/0.57 852[2:Rew:851.0,807.0] || -> equal(inverse(sk_c2),sk_c10)**.
% 0.35/0.57 853[2:Rew:851.0,812.0] || -> equal(multiply(sk_c2,sk_c10),sk_c10)**.
% 0.35/0.57 855[2:Rew:851.0,829.0] || -> equal(multiply(sk_c10,sk_c10),sk_c10)**.
% 0.35/0.57 865[2:SpR:828.0,143.0] || -> equal(multiply(inverse(sk_c10),sk_c10),sk_c5)**.
% 0.35/0.57 867[2:Rew:51.0,865.0] || -> equal(identity,sk_c5)**.
% 0.35/0.57 869[2:Rew:867.0,433.0] || -> equal(multiply(u,sk_c5),u)**.
% 0.35/0.57 870[2:Rew:867.0,51.0] || -> equal(multiply(inverse(u),u),sk_c5)**.
% 0.35/0.57 872[2:Rew:867.0,838.0] || equal(inverse(sk_c5),u) equal(u,sk_c10) equal(multiply(u,sk_c10),sk_c10)** -> .
% 0.35/0.57 886[2:SpR:855.0,143.0] || -> equal(multiply(inverse(sk_c10),sk_c10),sk_c10)**.
% 0.35/0.57 888[2:Rew:870.0,886.0] || -> equal(sk_c5,sk_c10)**.
% 0.35/0.57 892[2:Rew:888.0,869.0] || -> equal(multiply(u,sk_c10),u)**.
% 0.35/0.57 895[2:Rew:888.0,872.0] || equal(inverse(sk_c10),u) equal(u,sk_c10) equal(multiply(u,sk_c10),sk_c10)** -> .
% 0.35/0.57 903[2:Rew:892.0,853.0] || -> equal(sk_c2,sk_c10)**.
% 0.35/0.57 904[2:Rew:892.0,830.0] || -> equal(sk_c10,sk_c1)**.
% 0.35/0.57 908[2:Rew:903.0,852.0] || -> equal(inverse(sk_c10),sk_c10)**.
% 0.35/0.57 916[2:Rew:904.0,892.0] || -> equal(multiply(u,sk_c1),u)**.
% 0.35/0.57 919[2:Rew:904.0,908.0] || -> equal(inverse(sk_c1),sk_c1)**.
% 0.35/0.57 928[2:Rew:916.0,895.2,904.0,895.2,904.0,895.1,919.0,895.0,904.0,895.0] || equal(sk_c1,u)* equal(u,sk_c1)* equal(u,sk_c1)* -> .
% 0.35/0.57 929[2:Obv:928.1] || equal(u,sk_c1)* -> .
% 0.35/0.57 930[2:UnC:929.0,143.0] || -> .
% 0.35/0.57 935[1:Spt:930.0,53.1,53.2,53.3,53.5,53.6,53.8,53.9,53.10] || equal(inverse(u),v) equal(inverse(w),sk_c11) equal(inverse(x),sk_c11) equal(multiply(u,v),sk_c10)**+ equal(multiply(w,sk_c11),y)* equal(multiply(v,sk_c11),sk_c10)** equal(multiply(x,sk_c10),sk_c11)** equal(multiply(sk_c11,y),sk_c10)** -> .
% 0.35/0.57 939[2:Spt:48.0] || -> equal(inverse(sk_c8),sk_c11)**.
% 0.35/0.57 940[2:SpR:939.0,143.0] || -> equal(multiply(sk_c11,multiply(sk_c8,u)),u)**.
% 0.35/0.57 942[3:Spt:20.0] || -> equal(inverse(sk_c6),sk_c7)**.
% 0.35/0.57 943[3:SpR:942.0,143.0] || -> equal(multiply(sk_c7,multiply(sk_c6,u)),u)**.
% 0.35/0.57 945[4:Spt:19.1] || -> equal(multiply(sk_c6,sk_c7),sk_c11)**.
% 0.35/0.57 947[4:SpR:945.0,143.0] || -> equal(multiply(inverse(sk_c6),sk_c11),sk_c7)**.
% 0.35/0.57 949[4:SpL:945.0,935.3] || equal(inverse(sk_c6),sk_c7) equal(inverse(u),sk_c11) equal(inverse(v),sk_c11) equal(sk_c11,sk_c10) equal(multiply(u,sk_c11),w)* equal(multiply(sk_c7,sk_c11),sk_c10) equal(multiply(v,sk_c10),sk_c11)** equal(multiply(sk_c11,w),sk_c10)** -> .
% 0.35/0.57 950[4:Rew:942.0,947.0] || -> equal(multiply(sk_c7,sk_c11),sk_c7)**.
% 0.35/0.57 951[4:Rew:942.0,949.0] || equal(sk_c7,sk_c7) equal(inverse(u),sk_c11) equal(inverse(v),sk_c11) equal(sk_c11,sk_c10) equal(multiply(u,sk_c11),w)* equal(multiply(sk_c7,sk_c11),sk_c10) equal(multiply(v,sk_c10),sk_c11)** equal(multiply(sk_c11,w),sk_c10)** -> .
% 0.35/0.57 952[4:Obv:951.0] || equal(inverse(u),sk_c11) equal(inverse(v),sk_c11) equal(sk_c11,sk_c10) equal(multiply(u,sk_c11),w)* equal(multiply(sk_c7,sk_c11),sk_c10) equal(multiply(v,sk_c10),sk_c11)** equal(multiply(sk_c11,w),sk_c10)** -> .
% 0.35/0.57 953[4:Rew:950.0,952.4] || equal(inverse(u),sk_c11) equal(inverse(v),sk_c11) equal(sk_c11,sk_c10) equal(multiply(u,sk_c11),w)* equal(sk_c10,sk_c7) equal(multiply(v,sk_c10),sk_c11)** equal(multiply(sk_c11,w),sk_c10)** -> .
% 0.35/0.57 954[5:Spt:21.1] || -> equal(multiply(sk_c7,sk_c10),sk_c11)**.
% 0.35/0.57 956[5:SpR:954.0,143.0] || -> equal(multiply(inverse(sk_c7),sk_c11),sk_c10)**.
% 0.35/0.57 958[5:SpL:954.0,935.3] || equal(inverse(sk_c7),sk_c10) equal(inverse(u),sk_c11) equal(inverse(v),sk_c11) equal(sk_c11,sk_c10) equal(multiply(u,sk_c11),w)* equal(multiply(sk_c10,sk_c11),sk_c10) equal(multiply(v,sk_c10),sk_c11)** equal(multiply(sk_c11,w),sk_c10)** -> .
% 0.35/0.57 959[6:Spt:22.1] || -> equal(multiply(sk_c11,sk_c9),sk_c10)**.
% 0.35/0.57 968[1:SpL:50.0,935.3] || equal(inverse(identity),u) equal(inverse(v),sk_c11) equal(inverse(w),sk_c11) equal(u,sk_c10) equal(multiply(v,sk_c11),x)* equal(multiply(u,sk_c11),sk_c10)** equal(multiply(w,sk_c10),sk_c11)** equal(multiply(sk_c11,x),sk_c10)** -> .
% 0.35/0.57 969[7:Spt:47.1] || -> equal(multiply(sk_c8,sk_c11),sk_c9)**.
% 0.35/0.57 971[7:SpR:969.0,143.0] || -> equal(multiply(inverse(sk_c8),sk_c9),sk_c11)**.
% 0.35/0.57 974[7:Rew:959.0,971.0,939.0,971.0] || -> equal(sk_c11,sk_c10)**.
% 0.35/0.57 977[7:Rew:974.0,945.0] || -> equal(multiply(sk_c6,sk_c7),sk_c10)**.
% 0.35/0.57 978[7:Rew:974.0,954.0] || -> equal(multiply(sk_c7,sk_c10),sk_c10)**.
% 0.35/0.57 985[7:Rew:974.0,950.0] || -> equal(multiply(sk_c7,sk_c10),sk_c7)**.
% 0.35/0.57 990[7:Rew:974.0,953.0] || equal(inverse(u),sk_c10) equal(inverse(v),sk_c11) equal(sk_c11,sk_c10) equal(multiply(u,sk_c11),w)* equal(sk_c10,sk_c7) equal(multiply(v,sk_c10),sk_c11)** equal(multiply(sk_c11,w),sk_c10)** -> .
% 0.35/0.57 991[7:Rew:974.0,956.0] || -> equal(multiply(inverse(sk_c7),sk_c10),sk_c10)**.
% 0.35/0.57 994[7:Rew:978.0,985.0] || -> equal(sk_c10,sk_c7)**.
% 0.35/0.57 995[7:Rew:994.0,974.0] || -> equal(sk_c11,sk_c7)**.
% 0.35/0.57 997[7:Rew:994.0,977.0] || -> equal(multiply(sk_c6,sk_c7),sk_c7)**.
% 0.35/0.57 1001[7:Rew:51.0,991.0,994.0,991.0] || -> equal(identity,sk_c7)**.
% 0.35/0.57 1002[7:Rew:1001.0,50.0] || -> equal(multiply(sk_c7,u),u)**.
% 0.35/0.57 1003[7:Rew:1001.0,433.0] || -> equal(multiply(u,sk_c7),u)**.
% 0.35/0.57 1007[7:Rew:1002.0,943.0] || -> equal(multiply(sk_c6,u),u)**.
% 0.35/0.57 1009[7:Rew:1003.0,997.0] || -> equal(sk_c7,sk_c6)**.
% 0.35/0.57 1010[7:Rew:1009.0,942.0] || -> equal(inverse(sk_c6),sk_c6)**.
% 0.35/0.57 1011[7:Rew:1009.0,994.0] || -> equal(sk_c10,sk_c6)**.
% 0.35/0.57 1012[7:Rew:1009.0,995.0] || -> equal(sk_c11,sk_c6)**.
% 0.35/0.57 1017[7:Rew:1009.0,1003.0] || -> equal(multiply(u,sk_c6),u)**.
% 0.35/0.57 1029[7:Rew:1007.0,990.6,1012.0,990.6,1011.0,990.6,1017.0,990.5,1011.0,990.5,1012.0,990.5,1011.0,990.4,1009.0,990.4,1017.0,990.3,1012.0,990.3,1012.0,990.2,1011.0,990.2,1012.0,990.1,1011.0,990.0] || equal(inverse(u),sk_c6)** equal(inverse(v),sk_c6)** equal(sk_c6,sk_c6) equal(u,w)* equal(sk_c6,sk_c6) equal(v,sk_c6) equal(w,sk_c6)* -> .
% 0.35/0.57 1030[7:Obv:1029.4] || equal(inverse(u),sk_c6)**+ equal(inverse(v),sk_c6)** equal(u,w)* equal(v,sk_c6) equal(w,sk_c6)* -> .
% 0.35/0.57 1304[7:SpL:1010.0,1030.0] || equal(sk_c6,sk_c6) equal(inverse(u),sk_c6)** equal(sk_c6,v)* equal(u,sk_c6) equal(v,sk_c6)* -> .
% 0.35/0.57 1307[7:Obv:1304.2] || equal(inverse(u),sk_c6)** equal(u,sk_c6) equal(v,sk_c6)* -> .
% 0.35/0.57 1308[7:Con:1307.2] || equal(inverse(u),sk_c6)** equal(u,sk_c6) -> .
% 0.35/0.57 1309[7:SpL:1010.0,1308.0] || equal(sk_c6,sk_c6)* equal(sk_c6,sk_c6)* -> .
% 0.35/0.57 1312[7:Obv:1309.1] || -> .
% 0.35/0.57 1313[7:Spt:1312.0,47.1,969.0] || equal(multiply(sk_c8,sk_c11),sk_c9)** -> .
% 0.35/0.57 1314[7:Spt:1312.0,47.0] || -> equal(inverse(sk_c4),sk_c11)**.
% 0.35/0.57 1315[7:MRR:5.1,1313.0] || -> equal(inverse(sk_c1),sk_c11)**.
% 0.35/0.57 1318[7:MRR:41.0,1313.0] || -> equal(multiply(sk_c4,sk_c11),sk_c5)**.
% 0.35/0.57 1319[7:MRR:35.0,1313.0] || -> equal(multiply(sk_c11,sk_c5),sk_c10)**.
% 0.35/0.57 1322[7:MRR:11.0,1313.0] || -> equal(multiply(sk_c1,sk_c10),sk_c11)**.
% 0.35/0.57 1331[7:SpR:1314.0,143.0] || -> equal(multiply(sk_c11,multiply(sk_c4,u)),u)**.
% 0.35/0.57 1337[7:SpR:1315.0,143.0] || -> equal(multiply(sk_c11,multiply(sk_c1,u)),u)**.
% 0.35/0.57 1352[4:SpR:950.0,143.0] || -> equal(multiply(inverse(sk_c7),sk_c7),sk_c11)**.
% 0.35/0.57 1354[4:Rew:51.0,1352.0] || -> equal(sk_c11,identity)**.
% 0.35/0.57 1356[4:Rew:1354.0,939.0] || -> equal(inverse(sk_c8),identity)**.
% 0.35/0.57 1358[6:Rew:1354.0,959.0] || -> equal(multiply(identity,sk_c9),sk_c10)**.
% 0.35/0.57 1359[5:Rew:1354.0,954.0] || -> equal(multiply(sk_c7,sk_c10),identity)**.
% 0.35/0.57 1360[4:Rew:1354.0,945.0] || -> equal(multiply(sk_c6,sk_c7),identity)**.
% 0.35/0.57 1364[5:Rew:1354.0,956.0] || -> equal(multiply(inverse(sk_c7),identity),sk_c10)**.
% 0.35/0.57 1365[7:Rew:1354.0,1313.0] || equal(multiply(sk_c8,identity),sk_c9)** -> .
% 0.35/0.57 1366[4:Rew:1354.0,940.0] || -> equal(multiply(identity,multiply(sk_c8,u)),u)**.
% 0.35/0.57 1370[7:Rew:1354.0,1318.0] || -> equal(multiply(sk_c4,identity),sk_c5)**.
% 0.35/0.57 1371[7:Rew:1354.0,1319.0] || -> equal(multiply(identity,sk_c5),sk_c10)**.
% 0.35/0.57 1373[7:Rew:1354.0,1322.0] || -> equal(multiply(sk_c1,sk_c10),identity)**.
% 0.35/0.57 1374[5:Rew:1354.0,958.1] || equal(inverse(sk_c7),sk_c10) equal(inverse(u),identity) equal(inverse(v),sk_c11) equal(sk_c11,sk_c10) equal(multiply(u,sk_c11),w)* equal(multiply(sk_c10,sk_c11),sk_c10) equal(multiply(v,sk_c10),sk_c11)** equal(multiply(sk_c11,w),sk_c10)** -> .
% 0.35/0.57 1376[4:Rew:1354.0,968.1] || equal(inverse(identity),u) equal(inverse(v),identity) equal(inverse(w),sk_c11) equal(u,sk_c10) equal(multiply(v,sk_c11),x)* equal(multiply(u,sk_c11),sk_c10)** equal(multiply(w,sk_c10),sk_c11)** equal(multiply(sk_c11,x),sk_c10)** -> .
% 0.35/0.57 1380[7:Rew:1354.0,1331.0] || -> equal(multiply(identity,multiply(sk_c4,u)),u)**.
% 0.35/0.57 1381[7:Rew:1354.0,1337.0] || -> equal(multiply(identity,multiply(sk_c1,u)),u)**.
% 0.35/0.57 1382[6:Rew:50.0,1358.0] || -> equal(sk_c9,sk_c10)**.
% 0.35/0.57 1383[7:Rew:433.0,1370.0] || -> equal(sk_c4,sk_c5)**.
% 0.35/0.57 1385[7:Rew:50.0,1371.0] || -> equal(sk_c5,sk_c10)**.
% 0.35/0.57 1386[7:Rew:1385.0,1383.0] || -> equal(sk_c4,sk_c10)**.
% 0.35/0.57 1393[5:Rew:433.0,1364.0] || -> equal(inverse(sk_c7),sk_c10)**.
% 0.35/0.57 1394[7:Rew:433.0,1365.0,1382.0,1365.0] || equal(sk_c8,sk_c10)** -> .
% 0.35/0.57 1395[4:Rew:50.0,1366.0] || -> equal(multiply(sk_c8,u),u)**.
% 0.35/0.57 1396[7:Rew:50.0,1380.0,1386.0,1380.0] || -> equal(multiply(sk_c10,u),u)**.
% 0.35/0.57 1397[7:Rew:50.0,1381.0] || -> equal(multiply(sk_c1,u),u)**.
% 0.35/0.57 1398[7:Rew:1397.0,1373.0] || -> equal(identity,sk_c10)**.
% 0.35/0.57 1400[7:Rew:1398.0,433.0] || -> equal(multiply(u,sk_c10),u)**.
% 0.35/0.57 1401[7:Rew:1398.0,51.0] || -> equal(multiply(inverse(u),u),sk_c10)**.
% 0.35/0.57 1404[7:Rew:1398.0,1356.0] || -> equal(inverse(sk_c8),sk_c10)**.
% 0.35/0.57 1406[7:Rew:1398.0,1359.0] || -> equal(multiply(sk_c7,sk_c10),sk_c10)**.
% 0.35/0.57 1407[7:Rew:1398.0,1360.0] || -> equal(multiply(sk_c6,sk_c7),sk_c10)**.
% 0.35/0.57 1411[7:Rew:1400.0,1406.0] || -> equal(sk_c10,sk_c7)**.
% 0.35/0.57 1417[7:Rew:1411.0,1394.0] || equal(sk_c8,sk_c7)** -> .
% 0.35/0.57 1418[7:Rew:1411.0,1396.0] || -> equal(multiply(sk_c7,u),u)**.
% 0.35/0.57 1421[7:Rew:1411.0,1404.0] || -> equal(inverse(sk_c8),sk_c7)**.
% 0.35/0.57 1424[7:Rew:1411.0,1400.0] || -> equal(multiply(u,sk_c7),u)**.
% 0.35/0.57 1426[7:Rew:1411.0,1407.0] || -> equal(multiply(sk_c6,sk_c7),sk_c7)**.
% 0.35/0.57 1427[7:Rew:1418.0,943.0] || -> equal(multiply(sk_c6,u),u)**.
% 0.35/0.57 1428[7:Rew:1424.0,1426.0] || -> equal(sk_c7,sk_c6)**.
% 0.35/0.57 1430[7:Rew:1428.0,1411.0] || -> equal(sk_c10,sk_c6)**.
% 0.35/0.57 1439[7:Rew:1428.0,1417.0] || equal(sk_c8,sk_c6)** -> .
% 0.35/0.57 1440[7:Rew:1428.0,1421.0] || -> equal(inverse(sk_c8),sk_c6)**.
% 0.35/0.57 1444[7:Rew:1430.0,1401.0] || -> equal(multiply(inverse(u),u),sk_c6)**.
% 0.35/0.57 1493[7:SpR:1440.0,1444.0] || -> equal(multiply(sk_c6,sk_c8),sk_c6)**.
% 0.35/0.57 1495[7:Rew:1427.0,1493.0] || -> equal(sk_c8,sk_c6)**.
% 0.35/0.57 1496[7:MRR:1495.0,1439.0] || -> .
% 0.35/0.57 1519[6:Spt:1496.0,22.1,959.0] || equal(multiply(sk_c11,sk_c9),sk_c10)** -> .
% 0.35/0.57 1520[6:Spt:1496.0,22.0] || -> equal(inverse(sk_c2),sk_c3)**.
% 0.35/0.57 1522[6:Rew:50.0,1519.0,1354.0,1519.0] || equal(sk_c9,sk_c10)** -> .
% 0.35/0.57 1523[4:Rew:1395.0,5.1] || -> equal(inverse(sk_c1),sk_c11)** equal(sk_c11,sk_c9).
% 0.35/0.57 1524[4:Rew:1354.0,1523.1,1354.0,1523.0] || -> equal(inverse(sk_c1),identity)** equal(identity,sk_c9).
% 0.35/0.57 1532[4:Rew:50.0,4.1,1354.0,4.1,1354.0,4.0] || -> equal(inverse(sk_c1),identity)** equal(sk_c9,sk_c10).
% 0.35/0.57 1533[6:MRR:1532.1,1522.0] || -> equal(inverse(sk_c1),identity)**.
% 0.35/0.57 1558[4:Rew:1354.0,10.1,50.0,10.0,1354.0,10.0] || -> equal(sk_c9,sk_c10) equal(multiply(sk_c1,sk_c10),identity)**.
% 0.35/0.57 1559[6:MRR:1558.0,1522.0] || -> equal(multiply(sk_c1,sk_c10),identity)**.
% 0.35/0.57 1561[4:Rew:50.0,1376.7,1354.0,1376.7,1354.0,1376.6,433.0,1376.5,1354.0,1376.5,433.0,1376.4,1354.0,1376.4,1354.0,1376.2] || equal(inverse(identity),u)* equal(inverse(v),identity)** equal(inverse(w),identity) equal(u,sk_c10) equal(v,x)* equal(u,sk_c10) equal(multiply(w,sk_c10),identity)** equal(x,sk_c10)* -> .
% 0.35/0.57 1562[4:Obv:1561.3] || equal(inverse(identity),u)* equal(inverse(v),identity)** equal(inverse(w),identity) equal(v,x)* equal(u,sk_c10) equal(multiply(w,sk_c10),identity)** equal(x,sk_c10)* -> .
% 0.35/0.57 1563[5:Rew:50.0,1374.7,1354.0,1374.7,1354.0,1374.6,433.0,1374.5,1354.0,1374.5,433.0,1374.4,1354.0,1374.4,1354.0,1374.3,1354.0,1374.2,1393.0,1374.0] || equal(sk_c10,sk_c10) equal(inverse(u),identity)** equal(inverse(v),identity) equal(identity,sk_c10) equal(u,w)* equal(sk_c10,sk_c10) equal(multiply(v,sk_c10),identity)** equal(w,sk_c10)* -> .
% 0.35/0.57 1564[5:Obv:1563.5] || equal(inverse(u),identity)** equal(inverse(v),identity) equal(identity,sk_c10) equal(u,w)* equal(multiply(v,sk_c10),identity)** equal(w,sk_c10)* -> .
% 0.35/0.57 1579[6:SpR:1533.0,143.0] || -> equal(multiply(identity,multiply(sk_c1,u)),u)**.
% 0.35/0.57 1581[6:Rew:50.0,1579.0] || -> equal(multiply(sk_c1,u),u)**.
% 0.35/0.57 1582[6:Rew:1581.0,1559.0] || -> equal(identity,sk_c10)**.
% 0.35/0.57 1584[6:Rew:1582.0,1356.0] || -> equal(inverse(sk_c8),sk_c10)**.
% 0.35/0.57 1586[6:Rew:1582.0,1360.0] || -> equal(multiply(sk_c6,sk_c7),sk_c10)**.
% 0.35/0.57 1587[6:Rew:1582.0,1359.0] || -> equal(multiply(sk_c7,sk_c10),sk_c10)**.
% 0.35/0.57 1588[6:Rew:1582.0,433.0] || -> equal(multiply(u,sk_c10),u)**.
% 0.35/0.57 1594[6:Rew:1582.0,1564.1] || equal(inverse(u),identity)** equal(inverse(v),sk_c10) equal(identity,sk_c10) equal(u,w)* equal(multiply(v,sk_c10),identity)** equal(w,sk_c10)* -> .
% 0.35/0.57 1598[6:Rew:1588.0,1587.0] || -> equal(sk_c10,sk_c7)**.
% 0.35/0.57 1608[6:Rew:1598.0,1582.0] || -> equal(identity,sk_c7)**.
% 0.35/0.57 1610[6:Rew:1598.0,1584.0] || -> equal(inverse(sk_c8),sk_c7)**.
% 0.35/0.57 1613[6:Rew:1598.0,1586.0] || -> equal(multiply(sk_c6,sk_c7),sk_c7)**.
% 0.35/0.57 1614[6:Rew:1598.0,1588.0] || -> equal(multiply(u,sk_c7),u)**.
% 0.35/0.57 1620[6:Rew:1614.0,1613.0] || -> equal(sk_c7,sk_c6)**.
% 0.35/0.57 1622[6:Rew:1620.0,1598.0] || -> equal(sk_c10,sk_c6)**.
% 0.35/0.57 1627[6:Rew:1620.0,1608.0] || -> equal(identity,sk_c6)**.
% 0.35/0.57 1631[6:Rew:1620.0,1610.0] || -> equal(inverse(sk_c8),sk_c6)**.
% 0.35/0.57 1634[6:Rew:1620.0,1614.0] || -> equal(multiply(u,sk_c6),u)**.
% 0.35/0.57 1639[6:Rew:1622.0,1594.5,1634.0,1594.4,1622.0,1594.4,1627.0,1594.4,1627.0,1594.2,1622.0,1594.2,1622.0,1594.1,1627.0,1594.0] || equal(inverse(u),sk_c6)** equal(inverse(v),sk_c6)** equal(sk_c6,sk_c6) equal(u,w)* equal(v,sk_c6) equal(w,sk_c6)* -> .
% 0.35/0.57 1640[6:Obv:1639.2] || equal(inverse(u),sk_c6)** equal(inverse(v),sk_c6)** equal(u,w)* equal(v,sk_c6) equal(w,sk_c6)* -> .
% 0.35/0.57 1676[6:SpR:1634.0,1395.0] || -> equal(sk_c8,sk_c6)**.
% 0.35/0.57 1677[6:SpR:1634.0,1581.0] || -> equal(sk_c6,sk_c1)**.
% 0.35/0.57 1680[6:Rew:1676.0,1631.0] || -> equal(inverse(sk_c6),sk_c6)**.
% 0.35/0.57 1695[6:Rew:1677.0,1640.0] || equal(inverse(u),sk_c1)** equal(inverse(v),sk_c6)** equal(u,w)* equal(v,sk_c6) equal(w,sk_c6)* -> .
% 0.35/0.57 1697[6:Rew:1677.0,1680.0] || -> equal(inverse(sk_c1),sk_c1)**.
% 0.35/0.57 1703[6:Rew:1677.0,1695.4,1677.0,1695.3,1677.0,1695.1] || equal(inverse(u),sk_c1)**+ equal(inverse(v),sk_c1)** equal(u,w)* equal(v,sk_c1) equal(w,sk_c1)* -> .
% 0.35/0.57 1865[6:SpL:1697.0,1703.0] || equal(sk_c1,sk_c1) equal(inverse(u),sk_c1)** equal(sk_c1,v)* equal(u,sk_c1) equal(v,sk_c1)* -> .
% 0.35/0.57 1867[6:Obv:1865.2] || equal(inverse(u),sk_c1)** equal(u,sk_c1) equal(v,sk_c1)* -> .
% 0.35/0.57 1868[6:Con:1867.2] || equal(inverse(u),sk_c1)** equal(u,sk_c1) -> .
% 0.35/0.57 1869[6:SpL:1697.0,1868.0] || equal(sk_c1,sk_c1)* equal(sk_c1,sk_c1)* -> .
% 0.35/0.57 1871[6:Obv:1869.1] || -> .
% 0.35/0.57 1872[5:Spt:1871.0,21.1,954.0] || equal(multiply(sk_c7,sk_c10),sk_c11)** -> .
% 0.35/0.57 1873[5:Spt:1871.0,21.0] || -> equal(inverse(sk_c2),sk_c3)**.
% 0.35/0.57 1877[5:Rew:1354.0,1872.0] || equal(multiply(sk_c7,sk_c10),identity)** -> .
% 0.35/0.57 1880[4:Rew:1532.1,1524.1] || -> equal(inverse(sk_c1),identity)** equal(identity,sk_c10).
% 0.35/0.57 1910[4:Rew:1354.0,9.1,1354.0,9.0] || -> equal(multiply(sk_c7,sk_c10),identity)** equal(multiply(sk_c1,sk_c10),identity).
% 0.35/0.57 1911[5:MRR:1910.0,1877.0] || -> equal(multiply(sk_c1,sk_c10),identity)**.
% 0.35/0.57 1929[5:SpR:1911.0,143.0] || -> equal(multiply(inverse(sk_c1),identity),sk_c10)**.
% 0.35/0.57 1931[5:Rew:433.0,1929.0] || -> equal(inverse(sk_c1),sk_c10)**.
% 0.35/0.57 1933[5:Rew:1931.0,1880.0] || -> equal(identity,sk_c10)** equal(identity,sk_c10)**.
% 0.35/0.57 1935[5:Obv:1933.0] || -> equal(identity,sk_c10)**.
% 0.35/0.57 1939[5:Rew:1935.0,1911.0] || -> equal(multiply(sk_c1,sk_c10),sk_c10)**.
% 0.35/0.57 1941[5:Rew:1935.0,433.0] || -> equal(multiply(u,sk_c10),u)**.
% 0.35/0.57 1946[5:Rew:1935.0,1562.0] || equal(inverse(sk_c10),u)* equal(inverse(v),identity)** equal(inverse(w),identity) equal(v,x)* equal(u,sk_c10) equal(multiply(w,sk_c10),identity)** equal(x,sk_c10)* -> .
% 0.35/0.57 1951[5:Rew:1941.0,1939.0] || -> equal(sk_c10,sk_c1)**.
% 0.35/0.57 1957[5:Rew:1951.0,1931.0] || -> equal(inverse(sk_c1),sk_c1)**.
% 0.35/0.57 1958[5:Rew:1951.0,1935.0] || -> equal(identity,sk_c1)**.
% 0.35/0.57 1962[5:Rew:1951.0,1941.0] || -> equal(multiply(u,sk_c1),u)**.
% 0.35/0.57 1972[5:Rew:1951.0,1946.6,1962.0,1946.5,1951.0,1946.5,1958.0,1946.5,1951.0,1946.4,1958.0,1946.2,1958.0,1946.1,1957.0,1946.0,1951.0,1946.0] || equal(sk_c1,u)* equal(inverse(v),sk_c1)** equal(inverse(w),sk_c1)** equal(v,x)* equal(u,sk_c1)* equal(w,sk_c1) equal(x,sk_c1)* -> .
% 0.35/0.57 1973[5:Obv:1972.0] || equal(inverse(u),sk_c1)** equal(inverse(v),sk_c1)** equal(u,w)* equal(x,sk_c1)* equal(v,sk_c1) equal(w,sk_c1)* -> .
% 0.35/0.57 1974[5:Con:1973.3] || equal(inverse(u),sk_c1)**+ equal(inverse(v),sk_c1)** equal(u,w)* equal(v,sk_c1) equal(w,sk_c1)* -> .
% 0.35/0.57 2062[0:SpR:284.0,143.0] || -> equal(multiply(u,multiply(inverse(u),v)),v)**.
% 0.35/0.57 2246[5:SpL:1957.0,1974.0] || equal(sk_c1,sk_c1) equal(inverse(u),sk_c1)** equal(sk_c1,v)* equal(u,sk_c1) equal(v,sk_c1)* -> .
% 0.35/0.57 2249[5:Obv:2246.2] || equal(inverse(u),sk_c1)** equal(u,sk_c1) equal(v,sk_c1)* -> .
% 0.35/0.57 2250[5:Con:2249.2] || equal(inverse(u),sk_c1)** equal(u,sk_c1) -> .
% 0.35/0.57 2338[5:SpL:1957.0,2250.0] || equal(sk_c1,sk_c1)* equal(sk_c1,sk_c1)* -> .
% 0.35/0.57 2343[5:Obv:2338.1] || -> .
% 0.35/0.57 2344[4:Spt:2343.0,19.1,945.0] || equal(multiply(sk_c6,sk_c7),sk_c11)** -> .
% 0.35/0.57 2345[4:Spt:2343.0,19.0] || -> equal(inverse(sk_c2),sk_c3)**.
% 0.35/0.57 2347[4:MRR:43.1,2344.0] || -> equal(inverse(sk_c4),sk_c11)**.
% 0.35/0.57 2348[4:MRR:1.1,2344.0] || -> equal(inverse(sk_c1),sk_c11)**.
% 0.35/0.57 2350[4:MRR:37.0,2344.0] || -> equal(multiply(sk_c4,sk_c11),sk_c5)**.
% 0.35/0.57 2351[4:MRR:31.0,2344.0] || -> equal(multiply(sk_c11,sk_c5),sk_c10)**.
% 0.35/0.57 2352[4:MRR:25.0,2344.0] || -> equal(multiply(sk_c3,sk_c11),sk_c10)**.
% 0.35/0.57 2353[4:MRR:13.0,2344.0] || -> equal(multiply(sk_c2,sk_c3),sk_c10)**.
% 0.35/0.57 2358[4:SpR:2345.0,2062.0] || -> equal(multiply(sk_c2,multiply(sk_c3,u)),u)**.
% 0.35/0.57 2370[4:SpR:2350.0,143.0] || -> equal(multiply(inverse(sk_c4),sk_c5),sk_c11)**.
% 0.35/0.57 2372[4:Rew:2347.0,2370.0] || -> equal(multiply(sk_c11,sk_c5),sk_c11)**.
% 0.35/0.57 2373[4:Rew:2351.0,2372.0] || -> equal(sk_c11,sk_c10)**.
% 0.35/0.57 2376[4:Rew:2373.0,2348.0] || -> equal(inverse(sk_c1),sk_c10)**.
% 0.35/0.57 2378[4:Rew:2373.0,2344.0] || equal(multiply(sk_c6,sk_c7),sk_c10)** -> .
% 0.35/0.57 2381[4:Rew:2373.0,2352.0] || -> equal(multiply(sk_c3,sk_c10),sk_c10)**.
% 0.35/0.57 2407[4:SpR:2353.0,52.0] || -> equal(multiply(sk_c2,multiply(sk_c3,u)),multiply(sk_c10,u))**.
% 0.35/0.57 2408[4:SpR:2353.0,143.0] || -> equal(multiply(inverse(sk_c2),sk_c10),sk_c3)**.
% 0.35/0.57 2410[4:Rew:2345.0,2408.0] || -> equal(multiply(sk_c3,sk_c10),sk_c3)**.
% 0.35/0.57 2411[4:Rew:2381.0,2410.0] || -> equal(sk_c3,sk_c10)**.
% 0.35/0.57 2415[4:Rew:2411.0,2358.0] || -> equal(multiply(sk_c2,multiply(sk_c10,u)),u)**.
% 0.35/0.57 2417[4:Rew:2415.0,2407.0,2411.0,2407.0] || -> equal(multiply(sk_c10,u),u)**.
% 0.35/0.57 2445[3:SpR:433.0,943.0] || -> equal(multiply(sk_c7,sk_c6),identity)**.
% 0.35/0.57 2451[3:SpR:2445.0,143.0] || -> equal(multiply(inverse(sk_c7),identity),sk_c6)**.
% 0.35/0.57 2453[3:Rew:433.0,2451.0] || -> equal(inverse(sk_c7),sk_c6)**.
% 0.35/0.57 2467[4:SpR:2417.0,433.0] || -> equal(identity,sk_c10)**.
% 0.35/0.57 2474[4:Rew:2467.0,51.0] || -> equal(multiply(inverse(u),u),sk_c10)**.
% 0.35/0.57 2521[4:SpR:2376.0,2474.0] || -> equal(multiply(sk_c10,sk_c1),sk_c10)**.
% 0.35/0.57 2523[4:SpR:2453.0,2474.0] || -> equal(multiply(sk_c6,sk_c7),sk_c10)**.
% 0.35/0.57 2532[4:Rew:2417.0,2521.0] || -> equal(sk_c10,sk_c1)**.
% 0.35/0.57 2541[4:Rew:2532.0,2378.0] || equal(multiply(sk_c6,sk_c7),sk_c1)** -> .
% 0.35/0.57 2555[4:Rew:2532.0,2523.0] || -> equal(multiply(sk_c6,sk_c7),sk_c1)**.
% 0.35/0.57 2559[4:Rew:2555.0,2541.0] || equal(sk_c1,sk_c1)* -> .
% 0.35/0.57 2560[4:Obv:2559.0] || -> .
% 0.35/0.57 2570[3:Spt:2560.0,20.0,942.0] || equal(inverse(sk_c6),sk_c7)** -> .
% 0.35/0.57 2571[3:Spt:2560.0,20.1] || -> equal(inverse(sk_c2),sk_c3)**.
% 0.35/0.57 2572[3:MRR:2.0,2570.0] || -> equal(inverse(sk_c1),sk_c11)**.
% 0.35/0.57 2573[3:MRR:44.0,2570.0] || -> equal(inverse(sk_c4),sk_c11)**.
% 0.35/0.57 2574[3:MRR:38.0,2570.0] || -> equal(multiply(sk_c4,sk_c11),sk_c5)**.
% 0.35/0.57 2575[3:MRR:32.0,2570.0] || -> equal(multiply(sk_c11,sk_c5),sk_c10)**.
% 0.35/0.57 2576[3:MRR:26.0,2570.0] || -> equal(multiply(sk_c3,sk_c11),sk_c10)**.
% 0.35/0.57 2577[3:MRR:14.0,2570.0] || -> equal(multiply(sk_c2,sk_c3),sk_c10)**.
% 0.35/0.57 2580[3:SpR:2571.0,2062.0] || -> equal(multiply(sk_c2,multiply(sk_c3,u)),u)**.
% 0.35/0.57 2592[3:SpR:2574.0,143.0] || -> equal(multiply(inverse(sk_c4),sk_c5),sk_c11)**.
% 0.35/0.57 2594[3:Rew:2573.0,2592.0] || -> equal(multiply(sk_c11,sk_c5),sk_c11)**.
% 0.35/0.57 2595[3:Rew:2575.0,2594.0] || -> equal(sk_c11,sk_c10)**.
% 0.35/0.57 2596[3:Rew:2595.0,939.0] || -> equal(inverse(sk_c8),sk_c10)**.
% 0.35/0.57 2597[3:Rew:2595.0,2572.0] || -> equal(inverse(sk_c1),sk_c10)**.
% 0.35/0.57 2605[3:Rew:2595.0,2576.0] || -> equal(multiply(sk_c3,sk_c10),sk_c10)**.
% 0.35/0.57 2607[3:Rew:2595.0,968.1] || equal(inverse(identity),u) equal(inverse(v),sk_c10) equal(inverse(w),sk_c11) equal(u,sk_c10) equal(multiply(v,sk_c11),x)* equal(multiply(u,sk_c11),sk_c10)** equal(multiply(w,sk_c10),sk_c11)** equal(multiply(sk_c11,x),sk_c10)** -> .
% 0.35/0.57 2614[3:Rew:2595.0,2607.7,2595.0,2607.6,2595.0,2607.5,2595.0,2607.4,2595.0,2607.2] || equal(inverse(identity),u) equal(inverse(v),sk_c10) equal(inverse(w),sk_c10) equal(u,sk_c10) equal(multiply(v,sk_c10),x)* equal(multiply(u,sk_c10),sk_c10)** equal(multiply(w,sk_c10),sk_c10)** equal(multiply(sk_c10,x),sk_c10)** -> .
% 0.35/0.57 2628[3:SpR:2577.0,52.0] || -> equal(multiply(sk_c2,multiply(sk_c3,u)),multiply(sk_c10,u))**.
% 0.35/0.57 2629[3:SpR:2577.0,143.0] || -> equal(multiply(inverse(sk_c2),sk_c10),sk_c3)**.
% 0.35/0.57 2631[3:Rew:2571.0,2629.0] || -> equal(multiply(sk_c3,sk_c10),sk_c3)**.
% 0.35/0.57 2632[3:Rew:2605.0,2631.0] || -> equal(sk_c3,sk_c10)**.
% 0.35/0.57 2636[3:Rew:2632.0,2580.0] || -> equal(multiply(sk_c2,multiply(sk_c10,u)),u)**.
% 0.35/0.57 2638[3:Rew:2636.0,2628.0,2632.0,2628.0] || -> equal(multiply(sk_c10,u),u)**.
% 0.35/0.57 2643[3:Rew:2638.0,2614.7] || equal(inverse(identity),u) equal(inverse(v),sk_c10) equal(inverse(w),sk_c10) equal(u,sk_c10) equal(multiply(v,sk_c10),x)* equal(multiply(u,sk_c10),sk_c10)** equal(multiply(w,sk_c10),sk_c10)** equal(x,sk_c10) -> .
% 0.35/0.57 2669[3:SpR:2596.0,51.0] || -> equal(multiply(sk_c10,sk_c8),identity)**.
% 0.35/0.57 2670[3:SpR:2597.0,51.0] || -> equal(multiply(sk_c10,sk_c1),identity)**.
% 0.35/0.57 2673[3:Rew:2638.0,2669.0] || -> equal(identity,sk_c8)**.
% 0.35/0.57 2675[3:Rew:2673.0,51.0] || -> equal(multiply(inverse(u),u),sk_c8)**.
% 0.35/0.57 2676[3:Rew:2673.0,433.0] || -> equal(multiply(u,sk_c8),u)**.
% 0.35/0.58 2679[3:Rew:2673.0,2643.0] || equal(inverse(sk_c8),u) equal(inverse(v),sk_c10) equal(inverse(w),sk_c10) equal(u,sk_c10) equal(multiply(v,sk_c10),x)* equal(multiply(u,sk_c10),sk_c10)** equal(multiply(w,sk_c10),sk_c10)** equal(x,sk_c10) -> .
% 0.35/0.58 2680[3:Rew:2638.0,2670.0,2673.0,2670.0] || -> equal(sk_c8,sk_c1)**.
% 0.35/0.58 2691[3:Rew:2680.0,2676.0] || -> equal(multiply(u,sk_c1),u)**.
% 0.35/0.58 2692[3:Rew:2680.0,2675.0] || -> equal(multiply(inverse(u),u),sk_c1)**.
% 0.35/0.58 2699[3:Rew:2680.0,2679.0] || equal(inverse(sk_c1),u) equal(inverse(v),sk_c10) equal(inverse(w),sk_c10) equal(u,sk_c10) equal(multiply(v,sk_c10),x)* equal(multiply(u,sk_c10),sk_c10)** equal(multiply(w,sk_c10),sk_c10)** equal(x,sk_c10) -> .
% 0.35/0.58 2700[3:Rew:2597.0,2699.0] || equal(sk_c10,u) equal(inverse(v),sk_c10) equal(inverse(w),sk_c10) equal(u,sk_c10) equal(multiply(v,sk_c10),x)* equal(multiply(u,sk_c10),sk_c10)** equal(multiply(w,sk_c10),sk_c10)** equal(x,sk_c10) -> .
% 0.35/0.58 2701[3:Obv:2700.0] || equal(inverse(u),sk_c10) equal(inverse(v),sk_c10) equal(w,sk_c10) equal(multiply(u,sk_c10),x)* equal(multiply(w,sk_c10),sk_c10)** equal(multiply(v,sk_c10),sk_c10)** equal(x,sk_c10) -> .
% 0.35/0.58 2728[3:SpR:2691.0,2692.0] || -> equal(inverse(sk_c1),sk_c1)**.
% 0.35/0.58 2729[3:SpR:2691.0,2638.0] || -> equal(sk_c10,sk_c1)**.
% 0.35/0.58 2738[3:Rew:2729.0,2701.4] || equal(inverse(u),sk_c10) equal(inverse(v),sk_c10) equal(w,sk_c10) equal(multiply(u,sk_c10),x)* equal(multiply(w,sk_c1),sk_c1)** equal(multiply(v,sk_c10),sk_c10)** equal(x,sk_c10) -> .
% 0.35/0.58 2744[3:Rew:2691.0,2738.4] || equal(inverse(u),sk_c10) equal(inverse(v),sk_c10) equal(w,sk_c10)* equal(multiply(u,sk_c10),x)* equal(w,sk_c1) equal(multiply(v,sk_c10),sk_c10)** equal(x,sk_c10) -> .
% 0.35/0.58 2745[3:Rew:2729.0,2744.6,2729.0,2744.5,2729.0,2744.3,2729.0,2744.2,2729.0,2744.1,2729.0,2744.0] || equal(inverse(u),sk_c1) equal(inverse(v),sk_c1) equal(w,sk_c1)* equal(multiply(u,sk_c1),x)* equal(w,sk_c1)* equal(multiply(v,sk_c1),sk_c1)** equal(x,sk_c1) -> .
% 0.35/0.58 2746[3:Obv:2745.2] || equal(inverse(u),sk_c1) equal(inverse(v),sk_c1) equal(multiply(u,sk_c1),w)* equal(x,sk_c1)* equal(multiply(v,sk_c1),sk_c1)** equal(w,sk_c1) -> .
% 0.35/0.58 2747[3:Con:2746.3] || equal(inverse(u),sk_c1) equal(inverse(v),sk_c1) equal(multiply(u,sk_c1),w)* equal(multiply(v,sk_c1),sk_c1)** equal(w,sk_c1) -> .
% 0.35/0.58 2748[3:Rew:2691.0,2747.3,2691.0,2747.2] || equal(inverse(u),sk_c1)**+ equal(inverse(v),sk_c1)** equal(u,w)* equal(v,sk_c1) equal(w,sk_c1)* -> .
% 0.35/0.58 2776[3:SpL:2728.0,2748.0] || equal(sk_c1,sk_c1) equal(inverse(u),sk_c1)** equal(sk_c1,v)* equal(u,sk_c1) equal(v,sk_c1)* -> .
% 0.35/0.58 2777[3:Obv:2776.2] || equal(inverse(u),sk_c1)** equal(u,sk_c1) equal(v,sk_c1)* -> .
% 0.35/0.58 2778[3:Con:2777.2] || equal(inverse(u),sk_c1)** equal(u,sk_c1) -> .
% 0.35/0.58 2786[3:SpL:2728.0,2778.0] || equal(sk_c1,sk_c1)* equal(sk_c1,sk_c1)* -> .
% 0.35/0.58 2788[3:Obv:2786.1] || -> .
% 0.35/0.58 2789[2:Spt:2788.0,48.0,939.0] || equal(inverse(sk_c8),sk_c11)** -> .
% 0.35/0.58 2790[2:Spt:2788.0,48.1] || -> equal(inverse(sk_c4),sk_c11)**.
% 0.35/0.58 2792[2:MRR:24.0,2789.0] || -> equal(inverse(sk_c2),sk_c3)**.
% 0.35/0.58 2793[2:MRR:6.0,2789.0] || -> equal(inverse(sk_c1),sk_c11)**.
% 0.35/0.58 2795[2:MRR:42.0,2789.0] || -> equal(multiply(sk_c4,sk_c11),sk_c5)**.
% 0.35/0.58 2796[2:MRR:36.0,2789.0] || -> equal(multiply(sk_c11,sk_c5),sk_c10)**.
% 0.35/0.58 2797[2:MRR:30.0,2789.0] || -> equal(multiply(sk_c3,sk_c11),sk_c10)**.
% 0.35/0.58 2798[2:MRR:18.0,2789.0] || -> equal(multiply(sk_c2,sk_c3),sk_c10)**.
% 0.35/0.58 2806[2:SpR:2792.0,2062.0] || -> equal(multiply(sk_c2,multiply(sk_c3,u)),u)**.
% 0.35/0.58 2812[2:SpR:2795.0,143.0] || -> equal(multiply(inverse(sk_c4),sk_c5),sk_c11)**.
% 0.35/0.58 2814[2:Rew:2790.0,2812.0] || -> equal(multiply(sk_c11,sk_c5),sk_c11)**.
% 0.35/0.58 2815[2:Rew:2796.0,2814.0] || -> equal(sk_c11,sk_c10)**.
% 0.35/0.58 2817[2:Rew:2815.0,2793.0] || -> equal(inverse(sk_c1),sk_c10)**.
% 0.35/0.58 2821[2:Rew:2815.0,2797.0] || -> equal(multiply(sk_c3,sk_c10),sk_c10)**.
% 0.35/0.58 2823[2:Rew:2815.0,968.1] || equal(inverse(identity),u) equal(inverse(v),sk_c10) equal(inverse(w),sk_c11) equal(u,sk_c10) equal(multiply(v,sk_c11),x)* equal(multiply(u,sk_c11),sk_c10)** equal(multiply(w,sk_c10),sk_c11)** equal(multiply(sk_c11,x),sk_c10)** -> .
% 0.35/0.58 2832[2:Rew:2815.0,2823.7,2815.0,2823.6,2815.0,2823.5,2815.0,2823.4,2815.0,2823.2] || equal(inverse(identity),u) equal(inverse(v),sk_c10) equal(inverse(w),sk_c10) equal(u,sk_c10) equal(multiply(v,sk_c10),x)* equal(multiply(u,sk_c10),sk_c10)** equal(multiply(w,sk_c10),sk_c10)** equal(multiply(sk_c10,x),sk_c10)** -> .
% 0.35/0.58 2843[2:SpR:2798.0,52.0] || -> equal(multiply(sk_c2,multiply(sk_c3,u)),multiply(sk_c10,u))**.
% 0.35/0.58 2844[2:SpR:2798.0,143.0] || -> equal(multiply(inverse(sk_c2),sk_c10),sk_c3)**.
% 0.35/0.58 2846[2:Rew:2792.0,2844.0] || -> equal(multiply(sk_c3,sk_c10),sk_c3)**.
% 0.35/0.58 2847[2:Rew:2821.0,2846.0] || -> equal(sk_c3,sk_c10)**.
% 0.35/0.58 2851[2:Rew:2847.0,2806.0] || -> equal(multiply(sk_c2,multiply(sk_c10,u)),u)**.
% 0.35/0.58 2853[2:Rew:2851.0,2843.0,2847.0,2843.0] || -> equal(multiply(sk_c10,u),u)**.
% 0.35/0.58 2858[2:Rew:2853.0,2832.7] || equal(inverse(identity),u) equal(inverse(v),sk_c10) equal(inverse(w),sk_c10) equal(u,sk_c10) equal(multiply(v,sk_c10),x)* equal(multiply(u,sk_c10),sk_c10)** equal(multiply(w,sk_c10),sk_c10)** equal(x,sk_c10) -> .
% 0.35/0.58 2905[0:SpR:51.0,433.0] || -> equal(inverse(identity),identity)**.
% 0.35/0.58 2908[2:SpR:2817.0,51.0] || -> equal(multiply(sk_c10,sk_c1),identity)**.
% 0.35/0.58 2911[2:Rew:2905.0,2858.0] || equal(identity,u) equal(inverse(v),sk_c10) equal(inverse(w),sk_c10) equal(u,sk_c10) equal(multiply(v,sk_c10),x)* equal(multiply(u,sk_c10),sk_c10)** equal(multiply(w,sk_c10),sk_c10)** equal(x,sk_c10) -> .
% 0.35/0.58 2912[2:Rew:2853.0,2908.0] || -> equal(identity,sk_c1)**.
% 0.35/0.58 2914[2:Rew:2912.0,433.0] || -> equal(multiply(u,sk_c1),u)**.
% 0.35/0.58 2917[2:Rew:2912.0,2905.0] || -> equal(inverse(sk_c1),sk_c1)**.
% 0.35/0.58 2918[2:Rew:2817.0,2917.0] || -> equal(sk_c10,sk_c1)**.
% 0.35/0.58 2920[2:Rew:2918.0,2817.0] || -> equal(inverse(sk_c1),sk_c1)**.
% 0.35/0.58 2935[2:Rew:2918.0,2911.7,2914.0,2911.6,2918.0,2911.6,2914.0,2911.5,2918.0,2911.5,2914.0,2911.4,2918.0,2911.4,2918.0,2911.3,2918.0,2911.2,2918.0,2911.1,2912.0,2911.0] || equal(sk_c1,u)* equal(inverse(v),sk_c1)** equal(inverse(w),sk_c1)** equal(u,sk_c1)* equal(v,x)* equal(u,sk_c1)* equal(w,sk_c1) equal(x,sk_c1)* -> .
% 0.35/0.58 2936[2:Obv:2935.3] || equal(inverse(u),sk_c1)** equal(inverse(v),sk_c1)** equal(u,w)* equal(x,sk_c1)* equal(v,sk_c1) equal(w,sk_c1)* -> .
% 0.35/0.58 2937[2:Con:2936.3] || equal(inverse(u),sk_c1)**+ equal(inverse(v),sk_c1)** equal(u,w)* equal(v,sk_c1) equal(w,sk_c1)* -> .
% 0.35/0.58 3074[2:SpL:2920.0,2937.0] || equal(sk_c1,sk_c1) equal(inverse(u),sk_c1)** equal(sk_c1,v)* equal(u,sk_c1) equal(v,sk_c1)* -> .
% 0.35/0.58 3075[2:Obv:3074.2] || equal(inverse(u),sk_c1)** equal(u,sk_c1) equal(v,sk_c1)* -> .
% 0.35/0.58 3076[2:Con:3075.2] || equal(inverse(u),sk_c1)** equal(u,sk_c1) -> .
% 0.35/0.58 3078[2:SpL:2920.0,3076.0] || equal(sk_c1,sk_c1)* equal(sk_c1,sk_c1)* -> .
% 0.35/0.58 3079[2:Obv:3078.1] || -> .
% 0.35/0.58 % SZS output end Refutation
% 0.35/0.58 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_8 prove_this_9 prove_this_10 prove_this_11 prove_this_12 prove_this_13 prove_this_14 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_29 prove_this_30 prove_this_31 prove_this_32 prove_this_34 prove_this_35 prove_this_36 prove_this_37 prove_this_38 prove_this_40 prove_this_41 prove_this_42 prove_this_43 prove_this_44 prove_this_46 prove_this_47 prove_this_48 prove_this_49 left_identity left_inverse associativity
% 0.35/0.58
%------------------------------------------------------------------------------