TSTP Solution File: GRP246-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GRP246-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n021.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 11:46:30 EDT 2022
% Result : Unsatisfiable 0.17s 0.53s
% Output : Refutation 0.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : GRP246-1 : TPTP v8.1.0. Released v2.5.0.
% 0.02/0.11 % Command : run_spass %d %s
% 0.11/0.32 % Computer : n021.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Mon Jun 13 05:59:11 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.17/0.53
% 0.17/0.53 SPASS V 3.9
% 0.17/0.53 SPASS beiseite: Proof found.
% 0.17/0.53 % SZS status Theorem
% 0.17/0.53 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.53 SPASS derived 1837 clauses, backtracked 672 clauses, performed 13 splits and kept 1125 clauses.
% 0.17/0.53 SPASS allocated 64634 KBytes.
% 0.17/0.53 SPASS spent 0:00:00.21 on the problem.
% 0.17/0.53 0:00:00.04 for the input.
% 0.17/0.53 0:00:00.00 for the FLOTTER CNF translation.
% 0.17/0.53 0:00:00.01 for inferences.
% 0.17/0.53 0:00:00.00 for the backtracking.
% 0.17/0.53 0:00:00.12 for the reduction.
% 0.17/0.53
% 0.17/0.53
% 0.17/0.53 Here is a proof with depth 6, length 480 :
% 0.17/0.53 % SZS output start Refutation
% 0.17/0.53 1[0:Inp] || -> equal(multiply(sk_c4,sk_c11),sk_c10)** equal(multiply(sk_c1,sk_c11),sk_c10).
% 0.17/0.53 3[0:Inp] || -> equal(multiply(sk_c5,sk_c10),sk_c9)** equal(multiply(sk_c1,sk_c11),sk_c10).
% 0.17/0.53 4[0:Inp] || -> equal(inverse(sk_c5),sk_c10) equal(multiply(sk_c1,sk_c11),sk_c10)**.
% 0.17/0.53 5[0:Inp] || -> equal(inverse(sk_c6),sk_c11) equal(multiply(sk_c1,sk_c11),sk_c10)**.
% 0.17/0.53 6[0:Inp] || -> equal(multiply(sk_c6,sk_c10),sk_c11)** equal(multiply(sk_c1,sk_c11),sk_c10).
% 0.17/0.53 7[0:Inp] || -> equal(multiply(sk_c7,sk_c8),sk_c10)** equal(multiply(sk_c1,sk_c11),sk_c10).
% 0.17/0.53 8[0:Inp] || -> equal(inverse(sk_c7),sk_c8) equal(multiply(sk_c1,sk_c11),sk_c10)**.
% 0.17/0.53 9[0:Inp] || -> equal(multiply(sk_c8,sk_c9),sk_c10)** equal(multiply(sk_c1,sk_c11),sk_c10).
% 0.17/0.53 10[0:Inp] || -> equal(inverse(sk_c1),sk_c11) equal(multiply(sk_c4,sk_c11),sk_c10)**.
% 0.17/0.53 12[0:Inp] || -> equal(inverse(sk_c1),sk_c11) equal(multiply(sk_c5,sk_c10),sk_c9)**.
% 0.17/0.53 13[0:Inp] || -> equal(inverse(sk_c5),sk_c10)** equal(inverse(sk_c1),sk_c11).
% 0.17/0.53 14[0:Inp] || -> equal(inverse(sk_c6),sk_c11)** equal(inverse(sk_c1),sk_c11).
% 0.17/0.53 15[0:Inp] || -> equal(inverse(sk_c1),sk_c11) equal(multiply(sk_c6,sk_c10),sk_c11)**.
% 0.17/0.53 16[0:Inp] || -> equal(inverse(sk_c1),sk_c11) equal(multiply(sk_c7,sk_c8),sk_c10)**.
% 0.17/0.53 17[0:Inp] || -> equal(inverse(sk_c7),sk_c8)** equal(inverse(sk_c1),sk_c11).
% 0.17/0.53 18[0:Inp] || -> equal(inverse(sk_c1),sk_c11) equal(multiply(sk_c8,sk_c9),sk_c10)**.
% 0.17/0.53 21[0:Inp] || -> equal(multiply(sk_c5,sk_c10),sk_c9) equal(multiply(sk_c2,sk_c10),sk_c9)**.
% 0.17/0.53 22[0:Inp] || -> equal(inverse(sk_c5),sk_c10) equal(multiply(sk_c2,sk_c10),sk_c9)**.
% 0.17/0.53 23[0:Inp] || -> equal(inverse(sk_c6),sk_c11) equal(multiply(sk_c2,sk_c10),sk_c9)**.
% 0.17/0.53 24[0:Inp] || -> equal(multiply(sk_c6,sk_c10),sk_c11) equal(multiply(sk_c2,sk_c10),sk_c9)**.
% 0.17/0.53 25[0:Inp] || -> equal(multiply(sk_c7,sk_c8),sk_c10) equal(multiply(sk_c2,sk_c10),sk_c9)**.
% 0.17/0.53 26[0:Inp] || -> equal(inverse(sk_c7),sk_c8) equal(multiply(sk_c2,sk_c10),sk_c9)**.
% 0.17/0.53 27[0:Inp] || -> equal(multiply(sk_c8,sk_c9),sk_c10) equal(multiply(sk_c2,sk_c10),sk_c9)**.
% 0.17/0.53 28[0:Inp] || -> equal(inverse(sk_c2),sk_c10) equal(multiply(sk_c4,sk_c11),sk_c10)**.
% 0.17/0.53 30[0:Inp] || -> equal(inverse(sk_c2),sk_c10) equal(multiply(sk_c5,sk_c10),sk_c9)**.
% 0.17/0.53 31[0:Inp] || -> equal(inverse(sk_c5),sk_c10) equal(inverse(sk_c2),sk_c10)**.
% 0.17/0.53 32[0:Inp] || -> equal(inverse(sk_c6),sk_c11) equal(inverse(sk_c2),sk_c10)**.
% 0.17/0.53 33[0:Inp] || -> equal(inverse(sk_c2),sk_c10) equal(multiply(sk_c6,sk_c10),sk_c11)**.
% 0.17/0.53 34[0:Inp] || -> equal(inverse(sk_c2),sk_c10) equal(multiply(sk_c7,sk_c8),sk_c10)**.
% 0.17/0.53 35[0:Inp] || -> equal(inverse(sk_c7),sk_c8) equal(inverse(sk_c2),sk_c10)**.
% 0.17/0.53 36[0:Inp] || -> equal(inverse(sk_c2),sk_c10) equal(multiply(sk_c8,sk_c9),sk_c10)**.
% 0.17/0.53 37[0:Inp] || -> equal(inverse(sk_c3),sk_c11) equal(multiply(sk_c4,sk_c11),sk_c10)**.
% 0.17/0.53 39[0:Inp] || -> equal(inverse(sk_c3),sk_c11) equal(multiply(sk_c5,sk_c10),sk_c9)**.
% 0.17/0.53 40[0:Inp] || -> equal(inverse(sk_c5),sk_c10) equal(inverse(sk_c3),sk_c11)**.
% 0.17/0.53 41[0:Inp] || -> equal(inverse(sk_c6),sk_c11) equal(inverse(sk_c3),sk_c11)**.
% 0.17/0.53 42[0:Inp] || -> equal(inverse(sk_c3),sk_c11) equal(multiply(sk_c6,sk_c10),sk_c11)**.
% 0.17/0.53 43[0:Inp] || -> equal(inverse(sk_c3),sk_c11) equal(multiply(sk_c7,sk_c8),sk_c10)**.
% 0.17/0.53 44[0:Inp] || -> equal(inverse(sk_c7),sk_c8) equal(inverse(sk_c3),sk_c11)**.
% 0.17/0.53 45[0:Inp] || -> equal(inverse(sk_c3),sk_c11) equal(multiply(sk_c8,sk_c9),sk_c10)**.
% 0.17/0.53 48[0:Inp] || -> equal(multiply(sk_c5,sk_c10),sk_c9) equal(multiply(sk_c3,sk_c9),sk_c11)**.
% 0.17/0.53 49[0:Inp] || -> equal(inverse(sk_c5),sk_c10) equal(multiply(sk_c3,sk_c9),sk_c11)**.
% 0.17/0.53 50[0:Inp] || -> equal(inverse(sk_c6),sk_c11) equal(multiply(sk_c3,sk_c9),sk_c11)**.
% 0.17/0.53 51[0:Inp] || -> equal(multiply(sk_c6,sk_c10),sk_c11) equal(multiply(sk_c3,sk_c9),sk_c11)**.
% 0.17/0.53 52[0:Inp] || -> equal(multiply(sk_c7,sk_c8),sk_c10) equal(multiply(sk_c3,sk_c9),sk_c11)**.
% 0.17/0.53 53[0:Inp] || -> equal(inverse(sk_c7),sk_c8) equal(multiply(sk_c3,sk_c9),sk_c11)**.
% 0.17/0.53 55[0:Inp] || equal(multiply(u,sk_c11),sk_c10)** equal(inverse(u),sk_c11) equal(multiply(v,sk_c10),sk_c9)** equal(inverse(v),sk_c10) equal(inverse(w),sk_c11) equal(multiply(w,sk_c9),sk_c11)** equal(multiply(x,sk_c11),sk_c10)** equal(inverse(x),sk_c11) equal(multiply(y,sk_c10),sk_c9)** equal(inverse(y),sk_c10) equal(inverse(z),sk_c11) equal(multiply(z,sk_c10),sk_c11)** equal(multiply(x1,x2),sk_c10)** equal(inverse(x1),x2) equal(multiply(x2,sk_c9),sk_c10)** -> .
% 0.17/0.53 56[0:Inp] || -> equal(multiply(identity,u),u)**.
% 0.17/0.53 57[0:Inp] || -> equal(multiply(inverse(u),u),identity)**.
% 0.17/0.53 58[0:Inp] || -> equal(multiply(multiply(u,v),w),multiply(u,multiply(v,w)))**.
% 0.17/0.53 59[0:Con:55.6] || equal(inverse(u),v) equal(inverse(w),sk_c11) equal(inverse(x),sk_c11) equal(inverse(y),sk_c10) equal(inverse(z),sk_c11) equal(multiply(u,v),sk_c10)**+ equal(multiply(v,sk_c9),sk_c10)** equal(multiply(w,sk_c10),sk_c11)** equal(multiply(x,sk_c9),sk_c11)** equal(multiply(y,sk_c10),sk_c9)** equal(multiply(z,sk_c11),sk_c10)** -> .
% 0.17/0.53 60[1:Spt:59.0,59.5,59.6] || equal(inverse(u),v) equal(multiply(u,v),sk_c10)**+ equal(multiply(v,sk_c9),sk_c10)** -> .
% 0.17/0.53 61[2:Spt:44.1] || -> equal(inverse(sk_c3),sk_c11)**.
% 0.17/0.53 63[3:Spt:35.1] || -> equal(inverse(sk_c2),sk_c10)**.
% 0.17/0.53 65[4:Spt:17.1] || -> equal(inverse(sk_c1),sk_c11)**.
% 0.17/0.53 67[5:Spt:53.1] || -> equal(multiply(sk_c3,sk_c9),sk_c11)**.
% 0.17/0.53 71[6:Spt:26.1] || -> equal(multiply(sk_c2,sk_c10),sk_c9)**.
% 0.17/0.53 73[6:SpL:71.0,60.1] || equal(inverse(sk_c2),sk_c10) equal(sk_c9,sk_c10) equal(multiply(sk_c10,sk_c9),sk_c10)** -> .
% 0.17/0.53 74[6:Rew:63.0,73.0] || equal(sk_c10,sk_c10) equal(sk_c9,sk_c10) equal(multiply(sk_c10,sk_c9),sk_c10)** -> .
% 0.17/0.53 75[6:Obv:74.0] || equal(sk_c9,sk_c10) equal(multiply(sk_c10,sk_c9),sk_c10)** -> .
% 0.17/0.53 77[1:SpL:56.0,60.1] || equal(inverse(identity),u) equal(u,sk_c10) equal(multiply(u,sk_c9),sk_c10)** -> .
% 0.17/0.53 85[2:SpR:61.0,57.0] || -> equal(multiply(sk_c11,sk_c3),identity)**.
% 0.17/0.53 86[3:SpR:63.0,57.0] || -> equal(multiply(sk_c10,sk_c2),identity)**.
% 0.17/0.53 87[4:SpR:65.0,57.0] || -> equal(multiply(sk_c11,sk_c1),identity)**.
% 0.17/0.53 97[0:SpR:57.0,58.0] || -> equal(multiply(inverse(u),multiply(u,v)),multiply(identity,v))**.
% 0.17/0.53 99[2:SpR:85.0,58.0] || -> equal(multiply(sk_c11,multiply(sk_c3,u)),multiply(identity,u))**.
% 0.17/0.53 101[2:Rew:56.0,99.0] || -> equal(multiply(sk_c11,multiply(sk_c3,u)),u)**.
% 0.17/0.53 102[0:Rew:56.0,97.0] || -> equal(multiply(inverse(u),multiply(u,v)),v)**.
% 0.17/0.53 114[5:SpR:67.0,101.0] || -> equal(multiply(sk_c11,sk_c11),sk_c9)**.
% 0.17/0.53 122[0:SpR:102.0,102.0] || -> equal(multiply(inverse(inverse(u)),v),multiply(u,v))**.
% 0.17/0.53 125[6:SpR:71.0,102.0] || -> equal(multiply(inverse(sk_c2),sk_c9),sk_c10)**.
% 0.17/0.53 127[0:SpR:57.0,102.0] || -> equal(multiply(inverse(inverse(u)),identity),u)**.
% 0.17/0.53 129[2:SpR:85.0,102.0] || -> equal(multiply(inverse(sk_c11),identity),sk_c3)**.
% 0.17/0.53 130[4:SpR:87.0,102.0] || -> equal(multiply(inverse(sk_c11),identity),sk_c1)**.
% 0.17/0.53 133[0:SpR:58.0,102.0] || -> equal(multiply(inverse(multiply(u,v)),multiply(u,multiply(v,w))),w)**.
% 0.17/0.53 134[3:SpR:86.0,102.0] || -> equal(multiply(inverse(sk_c10),identity),sk_c2)**.
% 0.17/0.53 140[6:Rew:63.0,125.0] || -> equal(multiply(sk_c10,sk_c9),sk_c10)**.
% 0.17/0.53 141[6:Rew:140.0,75.1] || equal(sk_c9,sk_c10)** equal(sk_c10,sk_c10) -> .
% 0.17/0.53 143[4:Rew:129.0,130.0] || -> equal(sk_c3,sk_c1)**.
% 0.17/0.53 145[5:Rew:143.0,67.0] || -> equal(multiply(sk_c1,sk_c9),sk_c11)**.
% 0.17/0.53 157[6:Obv:141.1] || equal(sk_c9,sk_c10)** -> .
% 0.17/0.53 158[0:Rew:122.0,127.0] || -> equal(multiply(u,identity),u)**.
% 0.17/0.53 159[3:Rew:158.0,134.0] || -> equal(inverse(sk_c10),sk_c2)**.
% 0.17/0.53 166[3:SpR:159.0,57.0] || -> equal(multiply(sk_c2,sk_c10),identity)**.
% 0.17/0.53 169[6:Rew:71.0,166.0] || -> equal(identity,sk_c9)**.
% 0.17/0.53 179[6:Rew:169.0,158.0] || -> equal(multiply(u,sk_c9),u)**.
% 0.17/0.53 188[6:Rew:179.0,145.0] || -> equal(sk_c11,sk_c1)**.
% 0.17/0.53 192[6:Rew:188.0,114.0] || -> equal(multiply(sk_c1,sk_c1),sk_c9)**.
% 0.17/0.53 225[6:Rew:192.0,5.1,188.0,5.1,188.0,5.0] || -> equal(inverse(sk_c6),sk_c1)** equal(sk_c9,sk_c10).
% 0.17/0.54 226[6:MRR:225.1,157.0] || -> equal(inverse(sk_c6),sk_c1)**.
% 0.17/0.54 236[6:Rew:192.0,6.1,188.0,6.1,188.0,6.0] || -> equal(multiply(sk_c6,sk_c10),sk_c1)** equal(sk_c9,sk_c10).
% 0.17/0.54 237[6:MRR:236.1,157.0] || -> equal(multiply(sk_c6,sk_c10),sk_c1)**.
% 0.17/0.54 281[6:SpR:237.0,102.0] || -> equal(multiply(inverse(sk_c6),sk_c1),sk_c10)**.
% 0.17/0.54 283[6:Rew:192.0,281.0,226.0,281.0] || -> equal(sk_c9,sk_c10)**.
% 0.17/0.54 284[6:MRR:283.0,157.0] || -> .
% 0.17/0.54 285[6:Spt:284.0,26.1,71.0] || equal(multiply(sk_c2,sk_c10),sk_c9)** -> .
% 0.17/0.54 286[6:Spt:284.0,26.0] || -> equal(inverse(sk_c7),sk_c8)**.
% 0.17/0.54 287[6:Rew:166.0,285.0] || equal(identity,sk_c9)** -> .
% 0.17/0.54 288[3:Rew:166.0,23.1] || -> equal(inverse(sk_c6),sk_c11)** equal(identity,sk_c9).
% 0.17/0.54 289[6:MRR:288.1,287.0] || -> equal(inverse(sk_c6),sk_c11)**.
% 0.17/0.54 294[3:Rew:166.0,27.1] || -> equal(multiply(sk_c8,sk_c9),sk_c10)** equal(identity,sk_c9).
% 0.17/0.54 295[6:MRR:294.1,287.0] || -> equal(multiply(sk_c8,sk_c9),sk_c10)**.
% 0.17/0.54 296[3:Rew:166.0,25.1] || -> equal(multiply(sk_c7,sk_c8),sk_c10)** equal(identity,sk_c9).
% 0.17/0.54 297[6:MRR:296.1,287.0] || -> equal(multiply(sk_c7,sk_c8),sk_c10)**.
% 0.17/0.54 298[3:Rew:166.0,24.1] || -> equal(multiply(sk_c6,sk_c10),sk_c11)** equal(identity,sk_c9).
% 0.17/0.54 299[6:MRR:298.1,287.0] || -> equal(multiply(sk_c6,sk_c10),sk_c11)**.
% 0.17/0.54 320[6:SpR:295.0,102.0] || -> equal(multiply(inverse(sk_c8),sk_c10),sk_c9)**.
% 0.17/0.54 341[6:SpR:297.0,102.0] || -> equal(multiply(inverse(sk_c7),sk_c10),sk_c8)**.
% 0.17/0.54 343[6:Rew:286.0,341.0] || -> equal(multiply(sk_c8,sk_c10),sk_c8)**.
% 0.17/0.54 345[6:SpR:299.0,102.0] || -> equal(multiply(inverse(sk_c6),sk_c11),sk_c10)**.
% 0.17/0.54 347[6:Rew:114.0,345.0,289.0,345.0] || -> equal(sk_c9,sk_c10)**.
% 0.17/0.54 348[6:Rew:347.0,287.0] || equal(identity,sk_c10)** -> .
% 0.17/0.54 349[6:Rew:347.0,295.0] || -> equal(multiply(sk_c8,sk_c10),sk_c10)**.
% 0.17/0.54 365[6:Rew:347.0,320.0] || -> equal(multiply(inverse(sk_c8),sk_c10),sk_c10)**.
% 0.17/0.54 366[6:Rew:343.0,349.0] || -> equal(sk_c8,sk_c10)**.
% 0.17/0.54 372[6:Rew:57.0,365.0,366.0,365.0] || -> equal(identity,sk_c10)**.
% 0.17/0.54 373[6:MRR:372.0,348.0] || -> .
% 0.17/0.54 380[5:Spt:373.0,53.1,67.0] || equal(multiply(sk_c3,sk_c9),sk_c11)** -> .
% 0.17/0.54 381[5:Spt:373.0,53.0] || -> equal(inverse(sk_c7),sk_c8)**.
% 0.17/0.54 382[5:Rew:143.0,380.0] || equal(multiply(sk_c1,sk_c9),sk_c11)** -> .
% 0.17/0.54 388[4:Rew:143.0,49.1] || -> equal(inverse(sk_c5),sk_c10) equal(multiply(sk_c1,sk_c9),sk_c11)**.
% 0.17/0.54 389[5:MRR:388.1,382.0] || -> equal(inverse(sk_c5),sk_c10)**.
% 0.17/0.54 399[4:Rew:143.0,52.1] || -> equal(multiply(sk_c7,sk_c8),sk_c10)** equal(multiply(sk_c1,sk_c9),sk_c11).
% 0.17/0.54 400[5:MRR:399.1,382.0] || -> equal(multiply(sk_c7,sk_c8),sk_c10)**.
% 0.17/0.54 403[4:Rew:143.0,48.1] || -> equal(multiply(sk_c5,sk_c10),sk_c9)** equal(multiply(sk_c1,sk_c9),sk_c11).
% 0.17/0.54 404[5:MRR:403.1,382.0] || -> equal(multiply(sk_c5,sk_c10),sk_c9)**.
% 0.17/0.54 420[5:SpR:400.0,102.0] || -> equal(multiply(inverse(sk_c7),sk_c10),sk_c8)**.
% 0.17/0.54 422[5:Rew:381.0,420.0] || -> equal(multiply(sk_c8,sk_c10),sk_c8)**.
% 0.17/0.54 428[5:SpR:404.0,102.0] || -> equal(multiply(inverse(sk_c5),sk_c9),sk_c10)**.
% 0.17/0.54 430[5:Rew:389.0,428.0] || -> equal(multiply(sk_c10,sk_c9),sk_c10)**.
% 0.17/0.54 439[5:SpR:422.0,102.0] || -> equal(multiply(inverse(sk_c8),sk_c8),sk_c10)**.
% 0.17/0.54 441[5:Rew:57.0,439.0] || -> equal(identity,sk_c10)**.
% 0.17/0.54 444[5:Rew:441.0,86.0] || -> equal(multiply(sk_c10,sk_c2),sk_c10)**.
% 0.17/0.54 445[5:Rew:441.0,56.0] || -> equal(multiply(sk_c10,u),u)**.
% 0.17/0.54 446[5:Rew:441.0,158.0] || -> equal(multiply(u,sk_c10),u)**.
% 0.17/0.54 449[5:Rew:441.0,77.0] || equal(inverse(sk_c10),u) equal(u,sk_c10) equal(multiply(u,sk_c9),sk_c10)** -> .
% 0.17/0.54 453[5:Rew:445.0,444.0] || -> equal(sk_c2,sk_c10)**.
% 0.17/0.54 454[5:Rew:445.0,430.0] || -> equal(sk_c9,sk_c10)**.
% 0.17/0.54 463[5:Rew:453.0,159.0] || -> equal(inverse(sk_c10),sk_c10)**.
% 0.17/0.54 505[5:Rew:446.0,449.2,454.0,449.2,463.0,449.0] || equal(sk_c10,u)* equal(u,sk_c10)* equal(u,sk_c10)* -> .
% 0.17/0.54 506[5:Obv:505.1] || equal(u,sk_c10)* -> .
% 0.17/0.54 507[5:UnC:506.0,389.0] || -> .
% 0.17/0.54 516[4:Spt:507.0,17.1,65.0] || equal(inverse(sk_c1),sk_c11)** -> .
% 0.17/0.54 517[4:Spt:507.0,17.0] || -> equal(inverse(sk_c7),sk_c8)**.
% 0.17/0.54 520[4:MRR:13.1,516.0] || -> equal(inverse(sk_c5),sk_c10)**.
% 0.17/0.54 524[4:MRR:16.0,516.0] || -> equal(multiply(sk_c7,sk_c8),sk_c10)**.
% 0.17/0.54 526[4:MRR:12.0,516.0] || -> equal(multiply(sk_c5,sk_c10),sk_c9)**.
% 0.17/0.54 566[4:SpR:524.0,102.0] || -> equal(multiply(inverse(sk_c7),sk_c10),sk_c8)**.
% 0.17/0.54 568[4:Rew:517.0,566.0] || -> equal(multiply(sk_c8,sk_c10),sk_c8)**.
% 0.17/0.54 574[4:SpR:526.0,102.0] || -> equal(multiply(inverse(sk_c5),sk_c9),sk_c10)**.
% 0.17/0.54 576[4:Rew:520.0,574.0] || -> equal(multiply(sk_c10,sk_c9),sk_c10)**.
% 0.17/0.54 582[4:SpR:568.0,102.0] || -> equal(multiply(inverse(sk_c8),sk_c8),sk_c10)**.
% 0.17/0.54 584[4:Rew:57.0,582.0] || -> equal(identity,sk_c10)**.
% 0.17/0.54 585[4:Rew:584.0,86.0] || -> equal(multiply(sk_c10,sk_c2),sk_c10)**.
% 0.17/0.54 588[4:Rew:584.0,56.0] || -> equal(multiply(sk_c10,u),u)**.
% 0.17/0.54 589[4:Rew:584.0,158.0] || -> equal(multiply(u,sk_c10),u)**.
% 0.17/0.54 591[4:Rew:584.0,77.0] || equal(inverse(sk_c10),u) equal(u,sk_c10) equal(multiply(u,sk_c9),sk_c10)** -> .
% 0.17/0.54 596[4:Rew:588.0,585.0] || -> equal(sk_c2,sk_c10)**.
% 0.17/0.54 597[4:Rew:588.0,576.0] || -> equal(sk_c9,sk_c10)**.
% 0.17/0.54 606[4:Rew:596.0,63.0] || -> equal(inverse(sk_c10),sk_c10)**.
% 0.17/0.54 646[4:Rew:589.0,591.2,597.0,591.2,606.0,591.0] || equal(sk_c10,u)* equal(u,sk_c10)* equal(u,sk_c10)* -> .
% 0.17/0.54 647[4:Obv:646.1] || equal(u,sk_c10)* -> .
% 0.17/0.54 648[4:UnC:647.0,520.0] || -> .
% 0.17/0.54 655[3:Spt:648.0,35.1,63.0] || equal(inverse(sk_c2),sk_c10)** -> .
% 0.17/0.54 656[3:Spt:648.0,35.0] || -> equal(inverse(sk_c7),sk_c8)**.
% 0.17/0.54 658[3:MRR:31.1,655.0] || -> equal(inverse(sk_c5),sk_c10)**.
% 0.17/0.54 661[3:MRR:34.0,655.0] || -> equal(multiply(sk_c7,sk_c8),sk_c10)**.
% 0.17/0.54 663[3:MRR:30.0,655.0] || -> equal(multiply(sk_c5,sk_c10),sk_c9)**.
% 0.17/0.54 664[3:MRR:28.0,655.0] || -> equal(multiply(sk_c4,sk_c11),sk_c10)**.
% 0.17/0.54 686[3:SpR:661.0,102.0] || -> equal(multiply(inverse(sk_c7),sk_c10),sk_c8)**.
% 0.17/0.54 688[3:Rew:656.0,686.0] || -> equal(multiply(sk_c8,sk_c10),sk_c8)**.
% 0.17/0.54 694[3:SpR:663.0,102.0] || -> equal(multiply(inverse(sk_c5),sk_c9),sk_c10)**.
% 0.17/0.54 696[3:Rew:658.0,694.0] || -> equal(multiply(sk_c10,sk_c9),sk_c10)**.
% 0.17/0.54 702[3:SpR:688.0,102.0] || -> equal(multiply(inverse(sk_c8),sk_c8),sk_c10)**.
% 0.17/0.54 704[3:Rew:57.0,702.0] || -> equal(identity,sk_c10)**.
% 0.17/0.54 706[3:Rew:704.0,158.0] || -> equal(multiply(u,sk_c10),u)**.
% 0.17/0.54 707[3:Rew:704.0,56.0] || -> equal(multiply(sk_c10,u),u)**.
% 0.17/0.54 710[3:Rew:704.0,77.0] || equal(inverse(sk_c10),u) equal(u,sk_c10) equal(multiply(u,sk_c9),sk_c10)** -> .
% 0.17/0.54 713[3:Rew:706.0,663.0] || -> equal(sk_c9,sk_c5)**.
% 0.17/0.54 723[3:Rew:713.0,696.0] || -> equal(multiply(sk_c10,sk_c5),sk_c10)**.
% 0.17/0.54 737[3:Rew:707.0,723.0] || -> equal(sk_c5,sk_c10)**.
% 0.17/0.54 738[3:Rew:737.0,658.0] || -> equal(inverse(sk_c10),sk_c10)**.
% 0.17/0.54 739[3:Rew:737.0,713.0] || -> equal(sk_c9,sk_c10)**.
% 0.17/0.54 759[3:Rew:706.0,710.2,739.0,710.2,738.0,710.0] || equal(sk_c10,u)* equal(u,sk_c10)* equal(u,sk_c10)* -> .
% 0.17/0.54 760[3:Obv:759.1] || equal(u,sk_c10)* -> .
% 0.17/0.54 761[3:UnC:760.0,664.0] || -> .
% 0.17/0.54 768[2:Spt:761.0,44.1,61.0] || equal(inverse(sk_c3),sk_c11)** -> .
% 0.17/0.54 769[2:Spt:761.0,44.0] || -> equal(inverse(sk_c7),sk_c8)**.
% 0.17/0.54 771[2:MRR:40.1,768.0] || -> equal(inverse(sk_c5),sk_c10)**.
% 0.17/0.54 773[2:MRR:45.0,768.0] || -> equal(multiply(sk_c8,sk_c9),sk_c10)**.
% 0.17/0.54 774[2:MRR:43.0,768.0] || -> equal(multiply(sk_c7,sk_c8),sk_c10)**.
% 0.17/0.54 776[2:MRR:39.0,768.0] || -> equal(multiply(sk_c5,sk_c10),sk_c9)**.
% 0.17/0.54 790[2:SpR:774.0,102.0] || -> equal(multiply(inverse(sk_c7),sk_c10),sk_c8)**.
% 0.17/0.54 792[2:Rew:769.0,790.0] || -> equal(multiply(sk_c8,sk_c10),sk_c8)**.
% 0.17/0.54 798[2:SpR:776.0,102.0] || -> equal(multiply(inverse(sk_c5),sk_c9),sk_c10)**.
% 0.17/0.54 800[2:Rew:771.0,798.0] || -> equal(multiply(sk_c10,sk_c9),sk_c10)**.
% 0.17/0.54 806[2:SpR:792.0,102.0] || -> equal(multiply(inverse(sk_c8),sk_c8),sk_c10)**.
% 0.17/0.54 808[2:Rew:57.0,806.0] || -> equal(identity,sk_c10)**.
% 0.17/0.54 809[2:Rew:808.0,56.0] || -> equal(multiply(sk_c10,u),u)**.
% 0.17/0.54 810[2:Rew:808.0,158.0] || -> equal(multiply(u,sk_c10),u)**.
% 0.17/0.54 812[2:Rew:808.0,77.0] || equal(inverse(sk_c10),u) equal(u,sk_c10) equal(multiply(u,sk_c9),sk_c10)** -> .
% 0.17/0.54 815[2:Rew:809.0,800.0] || -> equal(sk_c9,sk_c10)**.
% 0.17/0.54 822[2:Rew:815.0,773.0] || -> equal(multiply(sk_c8,sk_c10),sk_c10)**.
% 0.17/0.54 831[2:Rew:810.0,822.0] || -> equal(sk_c8,sk_c10)**.
% 0.17/0.54 832[2:Rew:831.0,769.0] || -> equal(inverse(sk_c7),sk_c10)**.
% 0.17/0.54 833[2:Rew:831.0,774.0] || -> equal(multiply(sk_c7,sk_c10),sk_c10)**.
% 0.17/0.54 835[2:Rew:810.0,833.0] || -> equal(sk_c7,sk_c10)**.
% 0.17/0.54 836[2:Rew:835.0,832.0] || -> equal(inverse(sk_c10),sk_c10)**.
% 0.17/0.54 845[2:Rew:810.0,812.2,815.0,812.2,836.0,812.0] || equal(sk_c10,u)* equal(u,sk_c10)* equal(u,sk_c10)* -> .
% 0.17/0.54 846[2:Obv:845.1] || equal(u,sk_c10)* -> .
% 0.17/0.54 847[2:UnC:846.0,771.0] || -> .
% 0.17/0.54 853[1:Spt:847.0,59.1,59.2,59.3,59.4,59.7,59.8,59.9,59.10] || equal(inverse(u),sk_c11) equal(inverse(v),sk_c11) equal(inverse(w),sk_c10) equal(inverse(x),sk_c11) equal(multiply(u,sk_c10),sk_c11)**+ equal(multiply(v,sk_c9),sk_c11)** equal(multiply(w,sk_c10),sk_c9)** equal(multiply(x,sk_c11),sk_c10)** -> .
% 0.17/0.54 855[2:Spt:17.1] || -> equal(inverse(sk_c1),sk_c11)**.
% 0.17/0.54 858[3:Spt:35.1] || -> equal(inverse(sk_c2),sk_c10)**.
% 0.17/0.54 861[4:Spt:41.1] || -> equal(inverse(sk_c3),sk_c11)**.
% 0.17/0.54 864[5:Spt:8.1] || -> equal(multiply(sk_c1,sk_c11),sk_c10)**.
% 0.17/0.54 866[5:SpR:864.0,102.0] || -> equal(multiply(inverse(sk_c1),sk_c10),sk_c11)**.
% 0.17/0.54 868[5:Rew:855.0,866.0] || -> equal(multiply(sk_c11,sk_c10),sk_c11)**.
% 0.17/0.54 869[6:Spt:26.1] || -> equal(multiply(sk_c2,sk_c10),sk_c9)**.
% 0.17/0.54 871[6:SpR:869.0,102.0] || -> equal(multiply(inverse(sk_c2),sk_c9),sk_c10)**.
% 0.17/0.54 874[6:Rew:858.0,871.0] || -> equal(multiply(sk_c10,sk_c9),sk_c10)**.
% 0.17/0.54 876[7:Spt:53.1] || -> equal(multiply(sk_c3,sk_c9),sk_c11)**.
% 0.17/0.54 882[5:SpR:868.0,102.0] || -> equal(multiply(inverse(sk_c11),sk_c11),sk_c10)**.
% 0.17/0.54 884[5:SpL:868.0,853.4] || equal(inverse(sk_c11),sk_c11) equal(inverse(u),sk_c11) equal(inverse(v),sk_c10) equal(inverse(w),sk_c11) equal(sk_c11,sk_c11) equal(multiply(u,sk_c9),sk_c11)** equal(multiply(v,sk_c10),sk_c9)** equal(multiply(w,sk_c11),sk_c10)** -> .
% 0.17/0.54 885[5:Rew:57.0,882.0] || -> equal(identity,sk_c10)**.
% 0.17/0.54 886[5:Rew:885.0,158.0] || -> equal(multiply(u,sk_c10),u)**.
% 0.17/0.54 887[5:Rew:885.0,56.0] || -> equal(multiply(sk_c10,u),u)**.
% 0.17/0.54 888[5:Rew:885.0,57.0] || -> equal(multiply(inverse(u),u),sk_c10)**.
% 0.17/0.54 890[6:Rew:886.0,869.0] || -> equal(sk_c2,sk_c9)**.
% 0.17/0.54 894[6:Rew:890.0,858.0] || -> equal(inverse(sk_c9),sk_c10)**.
% 0.17/0.54 897[6:Rew:887.0,874.0] || -> equal(sk_c9,sk_c10)**.
% 0.17/0.54 899[7:Rew:897.0,876.0] || -> equal(multiply(sk_c3,sk_c10),sk_c11)**.
% 0.17/0.54 903[6:Rew:897.0,894.0] || -> equal(inverse(sk_c10),sk_c10)**.
% 0.17/0.54 904[7:Rew:886.0,899.0] || -> equal(sk_c3,sk_c11)**.
% 0.17/0.54 905[7:Rew:904.0,861.0] || -> equal(inverse(sk_c11),sk_c11)**.
% 0.17/0.54 914[5:Obv:884.4] || equal(inverse(sk_c11),sk_c11) equal(inverse(u),sk_c11) equal(inverse(v),sk_c10) equal(inverse(w),sk_c11) equal(multiply(u,sk_c9),sk_c11)** equal(multiply(v,sk_c10),sk_c9)** equal(multiply(w,sk_c11),sk_c10)** -> .
% 0.17/0.54 915[7:Rew:886.0,914.5,897.0,914.5,886.0,914.4,897.0,914.4,905.0,914.0] || equal(sk_c11,sk_c11) equal(inverse(u),sk_c11)** equal(inverse(v),sk_c10)** equal(inverse(w),sk_c11) equal(u,sk_c11) equal(v,sk_c10) equal(multiply(w,sk_c11),sk_c10)** -> .
% 0.17/0.54 916[7:Obv:915.0] || equal(inverse(u),sk_c11)** equal(inverse(v),sk_c10)** equal(inverse(w),sk_c11) equal(u,sk_c11) equal(v,sk_c10) equal(multiply(w,sk_c11),sk_c10)** -> .
% 0.17/0.54 937[5:SpR:855.0,888.0] || -> equal(multiply(sk_c11,sk_c1),sk_c10)**.
% 0.17/0.54 948[5:SpR:937.0,102.0] || -> equal(multiply(inverse(sk_c11),sk_c10),sk_c1)**.
% 0.17/0.54 950[7:Rew:905.0,948.0] || -> equal(multiply(sk_c11,sk_c10),sk_c1)**.
% 0.17/0.54 951[7:Rew:886.0,950.0] || -> equal(sk_c11,sk_c1)**.
% 0.17/0.54 952[7:Rew:951.0,855.0] || -> equal(inverse(sk_c1),sk_c1)**.
% 0.17/0.54 953[7:Rew:951.0,864.0] || -> equal(multiply(sk_c1,sk_c1),sk_c10)**.
% 0.17/0.54 961[7:Rew:951.0,916.0] || equal(inverse(u),sk_c1)** equal(inverse(v),sk_c10)** equal(inverse(w),sk_c11) equal(u,sk_c11) equal(v,sk_c10) equal(multiply(w,sk_c11),sk_c10)** -> .
% 0.17/0.54 964[7:Rew:951.0,961.5,951.0,961.3,951.0,961.2] || equal(inverse(u),sk_c1)** equal(inverse(v),sk_c10)** equal(inverse(w),sk_c1) equal(u,sk_c1) equal(v,sk_c10) equal(multiply(w,sk_c1),sk_c10)**+ -> .
% 0.17/0.54 980[5:SpR:886.0,888.0] || -> equal(inverse(sk_c10),sk_c10)**.
% 0.17/0.54 993[5:SpR:122.0,886.0] || -> equal(multiply(u,sk_c10),inverse(inverse(u)))**.
% 0.17/0.54 994[0:SpR:122.0,102.0] || -> equal(multiply(u,multiply(inverse(u),v)),v)**.
% 0.17/0.54 996[5:SpR:122.0,888.0] || -> equal(multiply(u,inverse(u)),sk_c10)**.
% 0.17/0.54 999[5:Rew:886.0,993.0] || -> equal(inverse(inverse(u)),u)**.
% 0.17/0.54 1080[0:SpR:994.0,133.0] || -> equal(multiply(inverse(multiply(u,v)),multiply(u,w)),multiply(inverse(v),w))**.
% 0.17/0.54 1137[7:SpL:953.0,964.5] || equal(inverse(u),sk_c1)** equal(inverse(v),sk_c10)** equal(inverse(sk_c1),sk_c1)** equal(u,sk_c1) equal(v,sk_c10) equal(sk_c10,sk_c10) -> .
% 0.17/0.54 1138[7:Obv:1137.5] || equal(inverse(u),sk_c1)** equal(inverse(v),sk_c10)** equal(inverse(sk_c1),sk_c1)** equal(u,sk_c1) equal(v,sk_c10) -> .
% 0.17/0.54 1139[7:Rew:952.0,1138.2] || equal(inverse(u),sk_c1)** equal(inverse(v),sk_c10)** equal(sk_c1,sk_c1) equal(u,sk_c1) equal(v,sk_c10) -> .
% 0.17/0.54 1140[7:Obv:1139.2] || equal(inverse(u),sk_c1)**+ equal(inverse(v),sk_c10)** equal(u,sk_c1) equal(v,sk_c10) -> .
% 0.17/0.54 1496[7:SpL:952.0,1140.0] || equal(sk_c1,sk_c1) equal(inverse(u),sk_c10)** equal(sk_c1,sk_c1) equal(u,sk_c10) -> .
% 0.17/0.54 1501[7:Obv:1496.2] || equal(inverse(u),sk_c10)** equal(u,sk_c10) -> .
% 0.17/0.54 1502[7:SpL:903.0,1501.0] || equal(sk_c10,sk_c10)* equal(sk_c10,sk_c10)* -> .
% 0.17/0.54 1507[7:Obv:1502.1] || -> .
% 0.17/0.54 1509[7:Spt:1507.0,53.1,876.0] || equal(multiply(sk_c3,sk_c9),sk_c11)** -> .
% 0.17/0.54 1510[7:Spt:1507.0,53.0] || -> equal(inverse(sk_c7),sk_c8)**.
% 0.17/0.54 1511[5:Rew:886.0,948.0] || -> equal(inverse(sk_c11),sk_c1)**.
% 0.17/0.54 1512[7:Rew:886.0,1509.0,897.0,1509.0] || equal(sk_c3,sk_c11)** -> .
% 0.17/0.54 1513[6:Rew:886.0,50.1,897.0,50.1] || -> equal(inverse(sk_c6),sk_c11)** equal(sk_c3,sk_c11).
% 0.17/0.54 1514[7:MRR:1513.1,1512.0] || -> equal(inverse(sk_c6),sk_c11)**.
% 0.17/0.54 1528[6:Rew:886.0,51.1,897.0,51.1,886.0,51.0] || -> equal(sk_c6,sk_c11) equal(sk_c3,sk_c11)**.
% 0.17/0.54 1529[7:MRR:1528.1,1512.0] || -> equal(sk_c6,sk_c11)**.
% 0.17/0.54 1530[7:Rew:1529.0,1514.0] || -> equal(inverse(sk_c11),sk_c11)**.
% 0.17/0.54 1531[7:Rew:1511.0,1530.0] || -> equal(sk_c11,sk_c1)**.
% 0.17/0.54 1532[7:Rew:1531.0,861.0] || -> equal(inverse(sk_c3),sk_c1)**.
% 0.17/0.54 1533[7:Rew:1531.0,855.0] || -> equal(inverse(sk_c1),sk_c1)**.
% 0.17/0.54 1537[7:Rew:1531.0,1512.0] || equal(sk_c3,sk_c1)** -> .
% 0.17/0.54 1567[7:SpR:1532.0,999.0] || -> equal(inverse(sk_c1),sk_c3)**.
% 0.17/0.54 1575[7:Rew:1533.0,1567.0] || -> equal(sk_c3,sk_c1)**.
% 0.17/0.54 1576[7:MRR:1575.0,1537.0] || -> .
% 0.17/0.54 1577[6:Spt:1576.0,26.1,869.0] || equal(multiply(sk_c2,sk_c10),sk_c9)** -> .
% 0.17/0.54 1578[6:Spt:1576.0,26.0] || -> equal(inverse(sk_c7),sk_c8)**.
% 0.17/0.54 1582[6:Rew:886.0,1577.0] || equal(sk_c2,sk_c9)** -> .
% 0.17/0.54 1602[5:Rew:886.0,22.1] || -> equal(inverse(sk_c5),sk_c10)** equal(sk_c2,sk_c9).
% 0.17/0.54 1603[6:MRR:1602.1,1582.0] || -> equal(inverse(sk_c5),sk_c10)**.
% 0.17/0.54 1635[5:Rew:886.0,21.1,886.0,21.0] || -> equal(sk_c9,sk_c5) equal(sk_c2,sk_c9)**.
% 0.17/0.54 1636[6:MRR:1635.1,1582.0] || -> equal(sk_c9,sk_c5)**.
% 0.17/0.54 1637[6:Rew:1636.0,1582.0] || equal(sk_c2,sk_c5)** -> .
% 0.17/0.54 1681[5:SpR:858.0,999.0] || -> equal(inverse(sk_c10),sk_c2)**.
% 0.17/0.54 1689[5:Rew:980.0,1681.0] || -> equal(sk_c2,sk_c10)**.
% 0.17/0.54 1692[6:Rew:1689.0,1637.0] || equal(sk_c5,sk_c10)** -> .
% 0.17/0.54 1729[6:SpR:1603.0,996.0] || -> equal(multiply(sk_c5,sk_c10),sk_c10)**.
% 0.17/0.54 1740[6:Rew:886.0,1729.0] || -> equal(sk_c5,sk_c10)**.
% 0.17/0.54 1741[6:MRR:1740.0,1692.0] || -> .
% 0.17/0.54 1749[5:Spt:1741.0,8.1,864.0] || equal(multiply(sk_c1,sk_c11),sk_c10)** -> .
% 0.17/0.54 1750[5:Spt:1741.0,8.0] || -> equal(inverse(sk_c7),sk_c8)**.
% 0.17/0.54 1751[5:MRR:5.1,1749.0] || -> equal(inverse(sk_c6),sk_c11)**.
% 0.17/0.54 1752[5:MRR:4.1,1749.0] || -> equal(inverse(sk_c5),sk_c10)**.
% 0.17/0.54 1755[5:MRR:9.1,1749.0] || -> equal(multiply(sk_c8,sk_c9),sk_c10)**.
% 0.17/0.54 1756[5:MRR:7.1,1749.0] || -> equal(multiply(sk_c7,sk_c8),sk_c10)**.
% 0.17/0.54 1757[5:MRR:6.1,1749.0] || -> equal(multiply(sk_c6,sk_c10),sk_c11)**.
% 0.17/0.54 1758[5:MRR:3.1,1749.0] || -> equal(multiply(sk_c5,sk_c10),sk_c9)**.
% 0.17/0.54 1759[5:MRR:1.1,1749.0] || -> equal(multiply(sk_c4,sk_c11),sk_c10)**.
% 0.17/0.54 1771[5:SpR:1750.0,994.0] || -> equal(multiply(sk_c7,multiply(sk_c8,u)),u)**.
% 0.17/0.54 1785[5:SpR:1752.0,102.0] || -> equal(multiply(sk_c10,multiply(sk_c5,u)),u)**.
% 0.17/0.54 1792[5:SpR:1755.0,102.0] || -> equal(multiply(inverse(sk_c8),sk_c10),sk_c9)**.
% 0.17/0.54 1796[5:SpR:1756.0,58.0] || -> equal(multiply(sk_c7,multiply(sk_c8,u)),multiply(sk_c10,u))**.
% 0.17/0.54 1797[5:SpR:1756.0,102.0] || -> equal(multiply(inverse(sk_c7),sk_c10),sk_c8)**.
% 0.17/0.54 1801[5:Rew:1750.0,1797.0] || -> equal(multiply(sk_c8,sk_c10),sk_c8)**.
% 0.17/0.54 1802[5:Rew:1771.0,1796.0] || -> equal(multiply(sk_c10,u),u)**.
% 0.17/0.54 1803[5:Rew:1802.0,1785.0] || -> equal(multiply(sk_c5,u),u)**.
% 0.17/0.54 1808[5:Rew:1803.0,1758.0] || -> equal(sk_c9,sk_c10)**.
% 0.17/0.54 1809[5:Rew:1808.0,1755.0] || -> equal(multiply(sk_c8,sk_c10),sk_c10)**.
% 0.17/0.54 1812[5:Rew:1808.0,1792.0] || -> equal(multiply(inverse(sk_c8),sk_c10),sk_c10)**.
% 0.17/0.54 1815[5:Rew:1801.0,1809.0] || -> equal(sk_c8,sk_c10)**.
% 0.17/0.54 1816[5:Rew:1815.0,1750.0] || -> equal(inverse(sk_c7),sk_c10)**.
% 0.17/0.54 1817[5:Rew:1815.0,1756.0] || -> equal(multiply(sk_c7,sk_c10),sk_c10)**.
% 0.17/0.54 1821[5:Rew:57.0,1812.0,1815.0,1812.0] || -> equal(identity,sk_c10)**.
% 0.17/0.54 1823[5:Rew:1821.0,158.0] || -> equal(multiply(u,sk_c10),u)**.
% 0.17/0.54 1825[5:Rew:1821.0,57.0] || -> equal(multiply(inverse(u),u),sk_c10)**.
% 0.17/0.54 1826[5:Rew:1823.0,1817.0] || -> equal(sk_c7,sk_c10)**.
% 0.17/0.54 1827[5:Rew:1823.0,1757.0] || -> equal(sk_c6,sk_c11)**.
% 0.17/0.54 1828[5:Rew:1826.0,1816.0] || -> equal(inverse(sk_c10),sk_c10)**.
% 0.17/0.54 1829[5:Rew:1827.0,1751.0] || -> equal(inverse(sk_c11),sk_c11)**.
% 0.17/0.54 1859[5:SpR:1759.0,1080.0] || -> equal(multiply(inverse(sk_c10),multiply(sk_c4,u)),multiply(inverse(sk_c11),u))**.
% 0.17/0.54 1864[5:Rew:1828.0,1859.0,1829.0,1859.0] || -> equal(multiply(sk_c10,multiply(sk_c4,u)),multiply(sk_c11,u))**.
% 0.17/0.54 1865[5:Rew:1802.0,1864.0] || -> equal(multiply(sk_c4,u),multiply(sk_c11,u))**.
% 0.17/0.54 1866[5:Rew:1865.0,1759.0] || -> equal(multiply(sk_c11,sk_c11),sk_c10)**.
% 0.17/0.54 1940[5:SpR:855.0,1825.0] || -> equal(multiply(sk_c11,sk_c1),sk_c10)**.
% 0.17/0.54 1986[5:SpR:1940.0,102.0] || -> equal(multiply(inverse(sk_c11),sk_c10),sk_c1)**.
% 0.17/0.54 1990[5:Rew:1823.0,1986.0,1829.0,1986.0] || -> equal(sk_c11,sk_c1)**.
% 0.17/0.54 1994[5:Rew:1990.0,1866.0] || -> equal(multiply(sk_c1,sk_c1),sk_c10)**.
% 0.17/0.54 1995[5:Rew:1990.0,1749.0] || equal(multiply(sk_c1,sk_c1),sk_c10)** -> .
% 0.17/0.54 2004[5:Rew:1994.0,1995.0] || equal(sk_c10,sk_c10)* -> .
% 0.17/0.54 2005[5:Obv:2004.0] || -> .
% 0.17/0.54 2013[4:Spt:2005.0,41.1,861.0] || equal(inverse(sk_c3),sk_c11)** -> .
% 0.17/0.54 2014[4:Spt:2005.0,41.0] || -> equal(inverse(sk_c6),sk_c11)**.
% 0.17/0.54 2015[4:MRR:40.1,2013.0] || -> equal(inverse(sk_c5),sk_c10)**.
% 0.17/0.54 2017[4:MRR:44.1,2013.0] || -> equal(inverse(sk_c7),sk_c8)**.
% 0.17/0.54 2018[4:MRR:45.0,2013.0] || -> equal(multiply(sk_c8,sk_c9),sk_c10)**.
% 0.17/0.54 2019[4:MRR:43.0,2013.0] || -> equal(multiply(sk_c7,sk_c8),sk_c10)**.
% 0.17/0.54 2020[4:MRR:42.0,2013.0] || -> equal(multiply(sk_c6,sk_c10),sk_c11)**.
% 0.17/0.54 2021[4:MRR:39.0,2013.0] || -> equal(multiply(sk_c5,sk_c10),sk_c9)**.
% 0.17/0.54 2022[4:MRR:37.0,2013.0] || -> equal(multiply(sk_c4,sk_c11),sk_c10)**.
% 0.17/0.54 2026[4:SpR:2015.0,102.0] || -> equal(multiply(sk_c10,multiply(sk_c5,u)),u)**.
% 0.17/0.54 2039[4:SpR:2017.0,994.0] || -> equal(multiply(sk_c7,multiply(sk_c8,u)),u)**.
% 0.17/0.54 2042[4:SpR:2018.0,102.0] || -> equal(multiply(inverse(sk_c8),sk_c10),sk_c9)**.
% 0.17/0.54 2046[4:SpR:2019.0,58.0] || -> equal(multiply(sk_c7,multiply(sk_c8,u)),multiply(sk_c10,u))**.
% 0.17/0.54 2047[4:SpR:2019.0,102.0] || -> equal(multiply(inverse(sk_c7),sk_c10),sk_c8)**.
% 0.17/0.54 2051[4:Rew:2017.0,2047.0] || -> equal(multiply(sk_c8,sk_c10),sk_c8)**.
% 0.17/0.54 2052[4:Rew:2039.0,2046.0] || -> equal(multiply(sk_c10,u),u)**.
% 0.17/0.54 2053[4:Rew:2052.0,2026.0] || -> equal(multiply(sk_c5,u),u)**.
% 0.17/0.54 2058[4:Rew:2053.0,2021.0] || -> equal(sk_c9,sk_c10)**.
% 0.17/0.54 2059[4:Rew:2058.0,2018.0] || -> equal(multiply(sk_c8,sk_c10),sk_c10)**.
% 0.17/0.54 2060[4:Rew:2058.0,853.5] || equal(inverse(u),sk_c11) equal(inverse(v),sk_c11) equal(inverse(w),sk_c10) equal(inverse(x),sk_c11) equal(multiply(u,sk_c10),sk_c11)** equal(multiply(v,sk_c10),sk_c11)** equal(multiply(w,sk_c10),sk_c9)** equal(multiply(x,sk_c11),sk_c10)** -> .
% 0.17/0.54 2062[4:Rew:2058.0,2042.0] || -> equal(multiply(inverse(sk_c8),sk_c10),sk_c10)**.
% 0.17/0.54 2065[4:Rew:2051.0,2059.0] || -> equal(sk_c8,sk_c10)**.
% 0.17/0.54 2066[4:Rew:2065.0,2017.0] || -> equal(inverse(sk_c7),sk_c10)**.
% 0.17/0.54 2067[4:Rew:2065.0,2019.0] || -> equal(multiply(sk_c7,sk_c10),sk_c10)**.
% 0.17/0.54 2071[4:Rew:57.0,2062.0,2065.0,2062.0] || -> equal(identity,sk_c10)**.
% 0.17/0.54 2072[4:Rew:2071.0,158.0] || -> equal(multiply(u,sk_c10),u)**.
% 0.17/0.54 2074[4:Rew:2071.0,57.0] || -> equal(multiply(inverse(u),u),sk_c10)**.
% 0.17/0.54 2076[4:Rew:2072.0,2067.0] || -> equal(sk_c7,sk_c10)**.
% 0.17/0.54 2077[4:Rew:2072.0,2020.0] || -> equal(sk_c6,sk_c11)**.
% 0.17/0.54 2078[4:Rew:2076.0,2066.0] || -> equal(inverse(sk_c10),sk_c10)**.
% 0.17/0.54 2079[4:Rew:2077.0,2014.0] || -> equal(inverse(sk_c11),sk_c11)**.
% 0.17/0.54 2090[4:Con:2060.1] || equal(inverse(u),sk_c11) equal(inverse(v),sk_c10) equal(inverse(w),sk_c11) equal(multiply(u,sk_c10),sk_c11)** equal(multiply(v,sk_c10),sk_c9)** equal(multiply(w,sk_c11),sk_c10)** -> .
% 0.17/0.54 2091[4:Rew:2072.0,2090.4,2058.0,2090.4,2072.0,2090.3] || equal(inverse(u),sk_c11)** equal(inverse(v),sk_c10)** equal(inverse(w),sk_c11) equal(u,sk_c11) equal(v,sk_c10) equal(multiply(w,sk_c11),sk_c10)** -> .
% 0.17/0.54 2109[4:SpR:2022.0,1080.0] || -> equal(multiply(inverse(sk_c10),multiply(sk_c4,u)),multiply(inverse(sk_c11),u))**.
% 0.17/0.54 2114[4:Rew:2078.0,2109.0,2079.0,2109.0] || -> equal(multiply(sk_c10,multiply(sk_c4,u)),multiply(sk_c11,u))**.
% 0.17/0.54 2115[4:Rew:2052.0,2114.0] || -> equal(multiply(sk_c4,u),multiply(sk_c11,u))**.
% 0.17/0.54 2116[4:Rew:2115.0,2022.0] || -> equal(multiply(sk_c11,sk_c11),sk_c10)**.
% 0.17/0.54 2168[4:SpR:855.0,2074.0] || -> equal(multiply(sk_c11,sk_c1),sk_c10)**.
% 0.17/0.54 2187[4:SpR:2168.0,102.0] || -> equal(multiply(inverse(sk_c11),sk_c10),sk_c1)**.
% 0.17/0.54 2191[4:Rew:2079.0,2187.0] || -> equal(multiply(sk_c11,sk_c10),sk_c1)**.
% 0.17/0.54 2192[4:Rew:2072.0,2191.0] || -> equal(sk_c11,sk_c1)**.
% 0.17/0.54 2193[4:Rew:2192.0,855.0] || -> equal(inverse(sk_c1),sk_c1)**.
% 0.17/0.54 2198[4:Rew:2192.0,2116.0] || -> equal(multiply(sk_c1,sk_c1),sk_c10)**.
% 0.17/0.54 2204[4:Rew:2192.0,2091.0] || equal(inverse(u),sk_c1)** equal(inverse(v),sk_c10)** equal(inverse(w),sk_c11) equal(u,sk_c11) equal(v,sk_c10) equal(multiply(w,sk_c11),sk_c10)** -> .
% 0.17/0.54 2212[4:Rew:2192.0,2204.5,2192.0,2204.3,2192.0,2204.2] || equal(inverse(u),sk_c1)** equal(inverse(v),sk_c10)** equal(inverse(w),sk_c1) equal(u,sk_c1) equal(v,sk_c10) equal(multiply(w,sk_c1),sk_c10)**+ -> .
% 0.17/0.54 2291[4:SpL:2198.0,2212.5] || equal(inverse(u),sk_c1)** equal(inverse(v),sk_c10)** equal(inverse(sk_c1),sk_c1)** equal(u,sk_c1) equal(v,sk_c10) equal(sk_c10,sk_c10) -> .
% 0.17/0.54 2292[4:Obv:2291.5] || equal(inverse(u),sk_c1)** equal(inverse(v),sk_c10)** equal(inverse(sk_c1),sk_c1)** equal(u,sk_c1) equal(v,sk_c10) -> .
% 0.17/0.54 2293[4:Rew:2193.0,2292.2] || equal(inverse(u),sk_c1)** equal(inverse(v),sk_c10)** equal(sk_c1,sk_c1) equal(u,sk_c1) equal(v,sk_c10) -> .
% 0.17/0.54 2294[4:Obv:2293.2] || equal(inverse(u),sk_c1)**+ equal(inverse(v),sk_c10)** equal(u,sk_c1) equal(v,sk_c10) -> .
% 0.17/0.54 2388[4:SpL:2193.0,2294.0] || equal(sk_c1,sk_c1) equal(inverse(u),sk_c10)** equal(sk_c1,sk_c1) equal(u,sk_c10) -> .
% 0.17/0.54 2391[4:Obv:2388.2] || equal(inverse(u),sk_c10)** equal(u,sk_c10) -> .
% 0.17/0.54 2415[4:SpL:2078.0,2391.0] || equal(sk_c10,sk_c10)* equal(sk_c10,sk_c10)* -> .
% 0.17/0.54 2418[4:Obv:2415.1] || -> .
% 0.17/0.54 2420[3:Spt:2418.0,35.1,858.0] || equal(inverse(sk_c2),sk_c10)** -> .
% 0.17/0.54 2421[3:Spt:2418.0,35.0] || -> equal(inverse(sk_c7),sk_c8)**.
% 0.17/0.54 2422[3:MRR:32.1,2420.0] || -> equal(inverse(sk_c6),sk_c11)**.
% 0.17/0.54 2423[3:MRR:31.1,2420.0] || -> equal(inverse(sk_c5),sk_c10)**.
% 0.17/0.54 2425[3:MRR:36.0,2420.0] || -> equal(multiply(sk_c8,sk_c9),sk_c10)**.
% 0.17/0.54 2426[3:MRR:34.0,2420.0] || -> equal(multiply(sk_c7,sk_c8),sk_c10)**.
% 0.17/0.54 2427[3:MRR:33.0,2420.0] || -> equal(multiply(sk_c6,sk_c10),sk_c11)**.
% 0.17/0.54 2428[3:MRR:30.0,2420.0] || -> equal(multiply(sk_c5,sk_c10),sk_c9)**.
% 0.17/0.54 2429[3:MRR:28.0,2420.0] || -> equal(multiply(sk_c4,sk_c11),sk_c10)**.
% 0.17/0.54 2431[3:SpR:2421.0,994.0] || -> equal(multiply(sk_c7,multiply(sk_c8,u)),u)**.
% 0.17/0.54 2439[3:SpR:2423.0,102.0] || -> equal(multiply(sk_c10,multiply(sk_c5,u)),u)**.
% 0.17/0.54 2446[3:SpR:2425.0,102.0] || -> equal(multiply(inverse(sk_c8),sk_c10),sk_c9)**.
% 0.17/0.54 2450[3:SpR:2426.0,58.0] || -> equal(multiply(sk_c7,multiply(sk_c8,u)),multiply(sk_c10,u))**.
% 0.17/0.54 2451[3:SpR:2426.0,102.0] || -> equal(multiply(inverse(sk_c7),sk_c10),sk_c8)**.
% 0.17/0.54 2455[3:Rew:2421.0,2451.0] || -> equal(multiply(sk_c8,sk_c10),sk_c8)**.
% 0.17/0.54 2456[3:Rew:2431.0,2450.0] || -> equal(multiply(sk_c10,u),u)**.
% 0.17/0.54 2457[3:Rew:2456.0,2439.0] || -> equal(multiply(sk_c5,u),u)**.
% 0.17/0.54 2460[3:Rew:2457.0,2428.0] || -> equal(sk_c9,sk_c10)**.
% 0.17/0.54 2461[3:Rew:2460.0,2425.0] || -> equal(multiply(sk_c8,sk_c10),sk_c10)**.
% 0.17/0.54 2462[3:Rew:2460.0,853.5] || equal(inverse(u),sk_c11) equal(inverse(v),sk_c11) equal(inverse(w),sk_c10) equal(inverse(x),sk_c11) equal(multiply(u,sk_c10),sk_c11)** equal(multiply(v,sk_c10),sk_c11)** equal(multiply(w,sk_c10),sk_c9)** equal(multiply(x,sk_c11),sk_c10)** -> .
% 0.17/0.54 2464[3:Rew:2460.0,2446.0] || -> equal(multiply(inverse(sk_c8),sk_c10),sk_c10)**.
% 0.17/0.54 2467[3:Rew:2455.0,2461.0] || -> equal(sk_c8,sk_c10)**.
% 0.17/0.54 2468[3:Rew:2467.0,2421.0] || -> equal(inverse(sk_c7),sk_c10)**.
% 0.17/0.54 2469[3:Rew:2467.0,2426.0] || -> equal(multiply(sk_c7,sk_c10),sk_c10)**.
% 0.17/0.54 2473[3:Rew:57.0,2464.0,2467.0,2464.0] || -> equal(identity,sk_c10)**.
% 0.17/0.54 2475[3:Rew:2473.0,158.0] || -> equal(multiply(u,sk_c10),u)**.
% 0.38/0.56 2477[3:Rew:2473.0,57.0] || -> equal(multiply(inverse(u),u),sk_c10)**.
% 0.38/0.56 2478[3:Rew:2475.0,2469.0] || -> equal(sk_c7,sk_c10)**.
% 0.38/0.56 2479[3:Rew:2475.0,2427.0] || -> equal(sk_c6,sk_c11)**.
% 0.38/0.56 2480[3:Rew:2478.0,2468.0] || -> equal(inverse(sk_c10),sk_c10)**.
% 0.38/0.56 2481[3:Rew:2479.0,2422.0] || -> equal(inverse(sk_c11),sk_c11)**.
% 0.38/0.56 2492[3:Con:2462.1] || equal(inverse(u),sk_c11) equal(inverse(v),sk_c10) equal(inverse(w),sk_c11) equal(multiply(u,sk_c10),sk_c11)** equal(multiply(v,sk_c10),sk_c9)** equal(multiply(w,sk_c11),sk_c10)** -> .
% 0.38/0.56 2493[3:Rew:2475.0,2492.4,2460.0,2492.4,2475.0,2492.3] || equal(inverse(u),sk_c11)** equal(inverse(v),sk_c10)** equal(inverse(w),sk_c11) equal(u,sk_c11) equal(v,sk_c10) equal(multiply(w,sk_c11),sk_c10)** -> .
% 0.38/0.56 2511[3:SpR:2429.0,1080.0] || -> equal(multiply(inverse(sk_c10),multiply(sk_c4,u)),multiply(inverse(sk_c11),u))**.
% 0.38/0.56 2516[3:Rew:2480.0,2511.0,2481.0,2511.0] || -> equal(multiply(sk_c10,multiply(sk_c4,u)),multiply(sk_c11,u))**.
% 0.38/0.56 2517[3:Rew:2456.0,2516.0] || -> equal(multiply(sk_c4,u),multiply(sk_c11,u))**.
% 0.38/0.56 2518[3:Rew:2517.0,2429.0] || -> equal(multiply(sk_c11,sk_c11),sk_c10)**.
% 0.38/0.56 2548[3:SpR:855.0,2477.0] || -> equal(multiply(sk_c11,sk_c1),sk_c10)**.
% 0.38/0.56 2564[3:SpR:2548.0,102.0] || -> equal(multiply(inverse(sk_c11),sk_c10),sk_c1)**.
% 0.38/0.56 2568[3:Rew:2481.0,2564.0] || -> equal(multiply(sk_c11,sk_c10),sk_c1)**.
% 0.38/0.56 2569[3:Rew:2475.0,2568.0] || -> equal(sk_c11,sk_c1)**.
% 0.38/0.56 2570[3:Rew:2569.0,855.0] || -> equal(inverse(sk_c1),sk_c1)**.
% 0.38/0.56 2574[3:Rew:2569.0,2518.0] || -> equal(multiply(sk_c1,sk_c1),sk_c10)**.
% 0.38/0.56 2580[3:Rew:2569.0,2493.0] || equal(inverse(u),sk_c1)** equal(inverse(v),sk_c10)** equal(inverse(w),sk_c11) equal(u,sk_c11) equal(v,sk_c10) equal(multiply(w,sk_c11),sk_c10)** -> .
% 0.38/0.56 2588[3:Rew:2569.0,2580.5,2569.0,2580.3,2569.0,2580.2] || equal(inverse(u),sk_c1)** equal(inverse(v),sk_c10)** equal(inverse(w),sk_c1) equal(u,sk_c1) equal(v,sk_c10) equal(multiply(w,sk_c1),sk_c10)**+ -> .
% 0.38/0.56 2630[3:SpL:2574.0,2588.5] || equal(inverse(u),sk_c1)** equal(inverse(v),sk_c10)** equal(inverse(sk_c1),sk_c1)** equal(u,sk_c1) equal(v,sk_c10) equal(sk_c10,sk_c10) -> .
% 0.38/0.56 2631[3:Obv:2630.5] || equal(inverse(u),sk_c1)** equal(inverse(v),sk_c10)** equal(inverse(sk_c1),sk_c1)** equal(u,sk_c1) equal(v,sk_c10) -> .
% 0.38/0.56 2632[3:Rew:2570.0,2631.2] || equal(inverse(u),sk_c1)** equal(inverse(v),sk_c10)** equal(sk_c1,sk_c1) equal(u,sk_c1) equal(v,sk_c10) -> .
% 0.38/0.56 2633[3:Obv:2632.2] || equal(inverse(u),sk_c1)**+ equal(inverse(v),sk_c10)** equal(u,sk_c1) equal(v,sk_c10) -> .
% 0.38/0.56 2688[3:SpL:2570.0,2633.0] || equal(sk_c1,sk_c1) equal(inverse(u),sk_c10)** equal(sk_c1,sk_c1) equal(u,sk_c10) -> .
% 0.38/0.56 2691[3:Obv:2688.2] || equal(inverse(u),sk_c10)** equal(u,sk_c10) -> .
% 0.38/0.56 2739[3:SpL:2480.0,2691.0] || equal(sk_c10,sk_c10)* equal(sk_c10,sk_c10)* -> .
% 0.38/0.56 2742[3:Obv:2739.1] || -> .
% 0.38/0.56 2744[2:Spt:2742.0,17.1,855.0] || equal(inverse(sk_c1),sk_c11)** -> .
% 0.38/0.56 2745[2:Spt:2742.0,17.0] || -> equal(inverse(sk_c7),sk_c8)**.
% 0.38/0.56 2746[2:MRR:14.1,2744.0] || -> equal(inverse(sk_c6),sk_c11)**.
% 0.38/0.56 2747[2:MRR:13.1,2744.0] || -> equal(inverse(sk_c5),sk_c10)**.
% 0.38/0.56 2749[2:MRR:18.0,2744.0] || -> equal(multiply(sk_c8,sk_c9),sk_c10)**.
% 0.38/0.56 2750[2:MRR:16.0,2744.0] || -> equal(multiply(sk_c7,sk_c8),sk_c10)**.
% 0.38/0.56 2751[2:MRR:15.0,2744.0] || -> equal(multiply(sk_c6,sk_c10),sk_c11)**.
% 0.38/0.56 2752[2:MRR:12.0,2744.0] || -> equal(multiply(sk_c5,sk_c10),sk_c9)**.
% 0.38/0.56 2753[2:MRR:10.0,2744.0] || -> equal(multiply(sk_c4,sk_c11),sk_c10)**.
% 0.38/0.56 2755[2:SpR:2745.0,994.0] || -> equal(multiply(sk_c7,multiply(sk_c8,u)),u)**.
% 0.38/0.56 2760[2:SpR:2747.0,102.0] || -> equal(multiply(sk_c10,multiply(sk_c5,u)),u)**.
% 0.38/0.56 2767[2:SpR:2749.0,102.0] || -> equal(multiply(inverse(sk_c8),sk_c10),sk_c9)**.
% 0.38/0.56 2771[2:SpR:2750.0,58.0] || -> equal(multiply(sk_c7,multiply(sk_c8,u)),multiply(sk_c10,u))**.
% 0.38/0.56 2772[2:SpR:2750.0,102.0] || -> equal(multiply(inverse(sk_c7),sk_c10),sk_c8)**.
% 0.38/0.56 2776[2:Rew:2745.0,2772.0] || -> equal(multiply(sk_c8,sk_c10),sk_c8)**.
% 0.38/0.56 2777[2:Rew:2755.0,2771.0] || -> equal(multiply(sk_c10,u),u)**.
% 0.38/0.56 2778[2:Rew:2777.0,2760.0] || -> equal(multiply(sk_c5,u),u)**.
% 0.38/0.56 2781[2:Rew:2778.0,2752.0] || -> equal(sk_c9,sk_c10)**.
% 0.38/0.56 2782[2:Rew:2781.0,2749.0] || -> equal(multiply(sk_c8,sk_c10),sk_c10)**.
% 0.38/0.56 2783[2:Rew:2781.0,853.5] || equal(inverse(u),sk_c11) equal(inverse(v),sk_c11) equal(inverse(w),sk_c10) equal(inverse(x),sk_c11) equal(multiply(u,sk_c10),sk_c11)** equal(multiply(v,sk_c10),sk_c11)** equal(multiply(w,sk_c10),sk_c9)** equal(multiply(x,sk_c11),sk_c10)** -> .
% 0.38/0.56 2785[2:Rew:2781.0,2767.0] || -> equal(multiply(inverse(sk_c8),sk_c10),sk_c10)**.
% 0.38/0.56 2788[2:Rew:2776.0,2782.0] || -> equal(sk_c8,sk_c10)**.
% 0.38/0.56 2789[2:Rew:2788.0,2745.0] || -> equal(inverse(sk_c7),sk_c10)**.
% 0.38/0.56 2790[2:Rew:2788.0,2750.0] || -> equal(multiply(sk_c7,sk_c10),sk_c10)**.
% 0.38/0.56 2794[2:Rew:57.0,2785.0,2788.0,2785.0] || -> equal(identity,sk_c10)**.
% 0.38/0.56 2795[2:Rew:2794.0,158.0] || -> equal(multiply(u,sk_c10),u)**.
% 0.38/0.56 2799[2:Rew:2795.0,2790.0] || -> equal(sk_c7,sk_c10)**.
% 0.38/0.56 2800[2:Rew:2795.0,2751.0] || -> equal(sk_c6,sk_c11)**.
% 0.38/0.56 2801[2:Rew:2799.0,2789.0] || -> equal(inverse(sk_c10),sk_c10)**.
% 0.38/0.56 2802[2:Rew:2800.0,2746.0] || -> equal(inverse(sk_c11),sk_c11)**.
% 0.38/0.56 2813[2:Con:2783.1] || equal(inverse(u),sk_c11) equal(inverse(v),sk_c10) equal(inverse(w),sk_c11) equal(multiply(u,sk_c10),sk_c11)** equal(multiply(v,sk_c10),sk_c9)** equal(multiply(w,sk_c11),sk_c10)** -> .
% 0.38/0.56 2814[2:Rew:2795.0,2813.4,2781.0,2813.4,2795.0,2813.3] || equal(inverse(u),sk_c11)** equal(inverse(v),sk_c10)** equal(inverse(w),sk_c11) equal(u,sk_c11) equal(v,sk_c10) equal(multiply(w,sk_c11),sk_c10)**+ -> .
% 0.38/0.56 2832[2:SpR:2753.0,1080.0] || -> equal(multiply(inverse(sk_c10),multiply(sk_c4,u)),multiply(inverse(sk_c11),u))**.
% 0.38/0.56 2837[2:Rew:2801.0,2832.0,2802.0,2832.0] || -> equal(multiply(sk_c10,multiply(sk_c4,u)),multiply(sk_c11,u))**.
% 0.38/0.56 2838[2:Rew:2777.0,2837.0] || -> equal(multiply(sk_c4,u),multiply(sk_c11,u))**.
% 0.38/0.56 2839[2:Rew:2838.0,2753.0] || -> equal(multiply(sk_c11,sk_c11),sk_c10)**.
% 0.38/0.56 2917[2:SpL:2839.0,2814.5] || equal(inverse(u),sk_c11)** equal(inverse(v),sk_c10)** equal(inverse(sk_c11),sk_c11)** equal(u,sk_c11) equal(v,sk_c10) equal(sk_c10,sk_c10) -> .
% 0.38/0.56 2922[2:Obv:2917.5] || equal(inverse(u),sk_c11)** equal(inverse(v),sk_c10)** equal(inverse(sk_c11),sk_c11)** equal(u,sk_c11) equal(v,sk_c10) -> .
% 0.38/0.56 2923[2:Rew:2802.0,2922.2] || equal(inverse(u),sk_c11)** equal(inverse(v),sk_c10)** equal(sk_c11,sk_c11) equal(u,sk_c11) equal(v,sk_c10) -> .
% 0.38/0.56 2924[2:Obv:2923.2] || equal(inverse(u),sk_c11)**+ equal(inverse(v),sk_c10)** equal(u,sk_c11) equal(v,sk_c10) -> .
% 0.38/0.56 3066[2:SpL:2802.0,2924.0] || equal(sk_c11,sk_c11) equal(inverse(u),sk_c10)** equal(sk_c11,sk_c11) equal(u,sk_c10) -> .
% 0.38/0.56 3069[2:Obv:3066.2] || equal(inverse(u),sk_c10)** equal(u,sk_c10) -> .
% 0.38/0.56 3072[2:SpL:2801.0,3069.0] || equal(sk_c10,sk_c10)* equal(sk_c10,sk_c10)* -> .
% 0.38/0.56 3075[2:Obv:3072.1] || -> .
% 0.38/0.56 % SZS output end Refutation
% 0.38/0.56 Formulae used in the proof : prove_this_1 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_12 prove_this_13 prove_this_14 prove_this_15 prove_this_16 prove_this_17 prove_this_18 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_30 prove_this_31 prove_this_32 prove_this_33 prove_this_34 prove_this_35 prove_this_36 prove_this_37 prove_this_39 prove_this_40 prove_this_41 prove_this_42 prove_this_43 prove_this_44 prove_this_45 prove_this_48 prove_this_49 prove_this_50 prove_this_51 prove_this_52 prove_this_53 prove_this_55 left_identity left_inverse associativity
% 0.38/0.56
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