TSTP Solution File: GRP210-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GRP210-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n010.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 11:46:20 EDT 2022
% Result : Unsatisfiable 0.43s 0.61s
% Output : Refutation 0.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP210-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 14 05:17:39 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.43/0.61
% 0.43/0.61 SPASS V 3.9
% 0.43/0.61 SPASS beiseite: Proof found.
% 0.43/0.61 % SZS status Theorem
% 0.43/0.61 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.43/0.61 SPASS derived 2000 clauses, backtracked 465 clauses, performed 13 splits and kept 1121 clauses.
% 0.43/0.61 SPASS allocated 64856 KBytes.
% 0.43/0.61 SPASS spent 0:00:00.25 on the problem.
% 0.43/0.61 0:00:00.04 for the input.
% 0.43/0.61 0:00:00.00 for the FLOTTER CNF translation.
% 0.43/0.61 0:00:00.01 for inferences.
% 0.43/0.61 0:00:00.00 for the backtracking.
% 0.43/0.61 0:00:00.17 for the reduction.
% 0.43/0.61
% 0.43/0.61
% 0.43/0.61 Here is a proof with depth 7, length 497 :
% 0.43/0.61 % SZS output start Refutation
% 0.43/0.61 1[0:Inp] || -> equal(inverse(sk_c4),sk_c10) equal(multiply(sk_c1,sk_c2),sk_c10)**.
% 0.43/0.61 3[0:Inp] || -> equal(multiply(sk_c5,sk_c6),sk_c9)** equal(multiply(sk_c1,sk_c2),sk_c10).
% 0.43/0.61 4[0:Inp] || -> equal(inverse(sk_c5),sk_c6) equal(multiply(sk_c1,sk_c2),sk_c10)**.
% 0.43/0.61 5[0:Inp] || -> equal(multiply(sk_c6,sk_c10),sk_c9)** equal(multiply(sk_c1,sk_c2),sk_c10).
% 0.43/0.61 6[0:Inp] || -> equal(multiply(sk_c10,sk_c8),sk_c9)** equal(multiply(sk_c1,sk_c2),sk_c10).
% 0.43/0.61 7[0:Inp] || -> equal(multiply(sk_c7,sk_c10),sk_c8)** equal(multiply(sk_c1,sk_c2),sk_c10).
% 0.43/0.61 8[0:Inp] || -> equal(inverse(sk_c7),sk_c10) equal(multiply(sk_c1,sk_c2),sk_c10)**.
% 0.43/0.61 9[0:Inp] || -> equal(inverse(sk_c4),sk_c10)** equal(inverse(sk_c1),sk_c2).
% 0.43/0.61 11[0:Inp] || -> equal(inverse(sk_c1),sk_c2) equal(multiply(sk_c5,sk_c6),sk_c9)**.
% 0.43/0.61 12[0:Inp] || -> equal(inverse(sk_c5),sk_c6)** equal(inverse(sk_c1),sk_c2).
% 0.43/0.61 13[0:Inp] || -> equal(inverse(sk_c1),sk_c2) equal(multiply(sk_c6,sk_c10),sk_c9)**.
% 0.43/0.61 14[0:Inp] || -> equal(inverse(sk_c1),sk_c2) equal(multiply(sk_c10,sk_c8),sk_c9)**.
% 0.43/0.61 15[0:Inp] || -> equal(inverse(sk_c1),sk_c2) equal(multiply(sk_c7,sk_c10),sk_c8)**.
% 0.43/0.61 16[0:Inp] || -> equal(inverse(sk_c7),sk_c10)** equal(inverse(sk_c1),sk_c2).
% 0.43/0.61 17[0:Inp] || -> equal(inverse(sk_c4),sk_c10) equal(multiply(sk_c2,sk_c9),sk_c10)**.
% 0.43/0.61 18[0:Inp] || -> equal(multiply(sk_c4,sk_c9),sk_c10)** equal(multiply(sk_c2,sk_c9),sk_c10).
% 0.43/0.61 19[0:Inp] || -> equal(multiply(sk_c5,sk_c6),sk_c9)** equal(multiply(sk_c2,sk_c9),sk_c10).
% 0.43/0.61 20[0:Inp] || -> equal(inverse(sk_c5),sk_c6) equal(multiply(sk_c2,sk_c9),sk_c10)**.
% 0.43/0.61 21[0:Inp] || -> equal(multiply(sk_c6,sk_c10),sk_c9)** equal(multiply(sk_c2,sk_c9),sk_c10).
% 0.43/0.61 22[0:Inp] || -> equal(multiply(sk_c10,sk_c8),sk_c9)** equal(multiply(sk_c2,sk_c9),sk_c10).
% 0.43/0.61 23[0:Inp] || -> equal(multiply(sk_c7,sk_c10),sk_c8)** equal(multiply(sk_c2,sk_c9),sk_c10).
% 0.43/0.61 24[0:Inp] || -> equal(inverse(sk_c7),sk_c10) equal(multiply(sk_c2,sk_c9),sk_c10)**.
% 0.43/0.61 25[0:Inp] || -> equal(inverse(sk_c4),sk_c10) equal(inverse(sk_c3),sk_c10)**.
% 0.43/0.61 26[0:Inp] || -> equal(inverse(sk_c3),sk_c10) equal(multiply(sk_c4,sk_c9),sk_c10)**.
% 0.43/0.61 27[0:Inp] || -> equal(inverse(sk_c3),sk_c10) equal(multiply(sk_c5,sk_c6),sk_c9)**.
% 0.43/0.61 28[0:Inp] || -> equal(inverse(sk_c5),sk_c6) equal(inverse(sk_c3),sk_c10)**.
% 0.43/0.61 29[0:Inp] || -> equal(inverse(sk_c3),sk_c10) equal(multiply(sk_c6,sk_c10),sk_c9)**.
% 0.43/0.61 30[0:Inp] || -> equal(inverse(sk_c3),sk_c10) equal(multiply(sk_c10,sk_c8),sk_c9)**.
% 0.43/0.61 31[0:Inp] || -> equal(inverse(sk_c3),sk_c10) equal(multiply(sk_c7,sk_c10),sk_c8)**.
% 0.43/0.61 32[0:Inp] || -> equal(inverse(sk_c7),sk_c10) equal(inverse(sk_c3),sk_c10)**.
% 0.43/0.61 33[0:Inp] || -> equal(inverse(sk_c4),sk_c10) equal(multiply(sk_c3,sk_c9),sk_c10)**.
% 0.43/0.61 34[0:Inp] || -> equal(multiply(sk_c4,sk_c9),sk_c10) equal(multiply(sk_c3,sk_c9),sk_c10)**.
% 0.43/0.61 35[0:Inp] || -> equal(multiply(sk_c5,sk_c6),sk_c9) equal(multiply(sk_c3,sk_c9),sk_c10)**.
% 0.43/0.61 36[0:Inp] || -> equal(inverse(sk_c5),sk_c6) equal(multiply(sk_c3,sk_c9),sk_c10)**.
% 0.43/0.61 37[0:Inp] || -> equal(multiply(sk_c6,sk_c10),sk_c9) equal(multiply(sk_c3,sk_c9),sk_c10)**.
% 0.43/0.61 38[0:Inp] || -> equal(multiply(sk_c10,sk_c8),sk_c9)** equal(multiply(sk_c3,sk_c9),sk_c10).
% 0.43/0.61 39[0:Inp] || -> equal(multiply(sk_c7,sk_c10),sk_c8) equal(multiply(sk_c3,sk_c9),sk_c10)**.
% 0.43/0.61 40[0:Inp] || -> equal(inverse(sk_c7),sk_c10) equal(multiply(sk_c3,sk_c9),sk_c10)**.
% 0.43/0.61 41[0:Inp] || equal(multiply(u,v),sk_c10)** equal(inverse(u),v) equal(multiply(v,sk_c9),sk_c10)** equal(inverse(w),sk_c10) equal(multiply(w,sk_c9),sk_c10)** equal(inverse(x),sk_c10) equal(multiply(x,sk_c9),sk_c10)** equal(multiply(y,z),sk_c9)** equal(inverse(y),z) equal(multiply(z,sk_c10),sk_c9)** equal(multiply(sk_c10,x1),sk_c9)** equal(multiply(x2,sk_c10),x1)* equal(inverse(x2),sk_c10) -> .
% 0.43/0.61 42[0:Inp] || -> equal(multiply(identity,u),u)**.
% 0.43/0.61 43[0:Inp] || -> equal(multiply(inverse(u),u),identity)**.
% 0.43/0.61 44[0:Inp] || -> equal(multiply(multiply(u,v),w),multiply(u,multiply(v,w)))**.
% 0.43/0.61 45[0:Con:41.5] || equal(inverse(u),v) equal(inverse(w),x) equal(inverse(y),sk_c10) equal(inverse(z),sk_c10) equal(multiply(u,v),sk_c9)**+ equal(multiply(w,x),sk_c10)** equal(multiply(y,sk_c10),x1)* equal(multiply(v,sk_c10),sk_c9)** equal(multiply(z,sk_c9),sk_c10)** equal(multiply(x,sk_c9),sk_c10)** equal(multiply(sk_c10,x1),sk_c9)** -> .
% 0.43/0.61 46[1:Spt:45.1,45.5,45.9] || equal(inverse(u),v) equal(multiply(u,v),sk_c10)**+ equal(multiply(v,sk_c9),sk_c10)** -> .
% 0.43/0.61 47[2:Spt:28.1] || -> equal(inverse(sk_c3),sk_c10)**.
% 0.43/0.61 49[3:Spt:16.1] || -> equal(inverse(sk_c1),sk_c2)**.
% 0.43/0.61 51[4:Spt:36.1] || -> equal(multiply(sk_c3,sk_c9),sk_c10)**.
% 0.43/0.61 53[4:SpL:51.0,46.1] || equal(inverse(sk_c3),sk_c9) equal(sk_c10,sk_c10) equal(multiply(sk_c9,sk_c9),sk_c10)** -> .
% 0.43/0.61 54[4:Obv:53.1] || equal(inverse(sk_c3),sk_c9) equal(multiply(sk_c9,sk_c9),sk_c10)** -> .
% 0.43/0.61 55[4:Rew:47.0,54.0] || equal(sk_c10,sk_c9) equal(multiply(sk_c9,sk_c9),sk_c10)** -> .
% 0.43/0.61 56[5:Spt:20.1] || -> equal(multiply(sk_c2,sk_c9),sk_c10)**.
% 0.43/0.61 61[1:SpL:42.0,46.1] || equal(inverse(identity),u) equal(u,sk_c10) equal(multiply(u,sk_c9),sk_c10)** -> .
% 0.43/0.61 62[6:Spt:4.1] || -> equal(multiply(sk_c1,sk_c2),sk_c10)**.
% 0.43/0.61 64[6:SpL:62.0,46.1] || equal(inverse(sk_c1),sk_c2) equal(sk_c10,sk_c10) equal(multiply(sk_c2,sk_c9),sk_c10)** -> .
% 0.43/0.61 65[6:Obv:64.1] || equal(inverse(sk_c1),sk_c2) equal(multiply(sk_c2,sk_c9),sk_c10)** -> .
% 0.43/0.61 66[6:Rew:56.0,65.1,49.0,65.0] || equal(sk_c2,sk_c2) equal(sk_c10,sk_c10)* -> .
% 0.43/0.61 67[6:Obv:66.1] || -> .
% 0.43/0.61 68[6:Spt:67.0,4.1,62.0] || equal(multiply(sk_c1,sk_c2),sk_c10)** -> .
% 0.43/0.61 69[6:Spt:67.0,4.0] || -> equal(inverse(sk_c5),sk_c6)**.
% 0.43/0.61 70[6:MRR:8.1,68.0] || -> equal(inverse(sk_c7),sk_c10)**.
% 0.43/0.61 72[6:MRR:7.1,68.0] || -> equal(multiply(sk_c7,sk_c10),sk_c8)**.
% 0.43/0.61 73[6:MRR:6.1,68.0] || -> equal(multiply(sk_c10,sk_c8),sk_c9)**.
% 0.43/0.61 97[2:SpR:47.0,43.0] || -> equal(multiply(sk_c10,sk_c3),identity)**.
% 0.43/0.61 100[6:SpR:70.0,43.0] || -> equal(multiply(sk_c10,sk_c7),identity)**.
% 0.43/0.61 104[2:SpL:97.0,46.1] || equal(inverse(sk_c10),sk_c3) equal(sk_c10,identity) equal(multiply(sk_c3,sk_c9),sk_c10)** -> .
% 0.43/0.61 119[0:SpR:43.0,44.0] || -> equal(multiply(inverse(u),multiply(u,v)),multiply(identity,v))**.
% 0.43/0.61 123[2:SpR:97.0,44.0] || -> equal(multiply(sk_c10,multiply(sk_c3,u)),multiply(identity,u))**.
% 0.43/0.61 124[6:SpR:100.0,44.0] || -> equal(multiply(sk_c10,multiply(sk_c7,u)),multiply(identity,u))**.
% 0.43/0.61 129[2:Rew:42.0,123.0] || -> equal(multiply(sk_c10,multiply(sk_c3,u)),u)**.
% 0.43/0.61 130[6:Rew:42.0,124.0] || -> equal(multiply(sk_c10,multiply(sk_c7,u)),u)**.
% 0.43/0.61 133[0:Rew:42.0,119.0] || -> equal(multiply(inverse(u),multiply(u,v)),v)**.
% 0.43/0.61 143[4:SpR:51.0,129.0] || -> equal(multiply(sk_c10,sk_c10),sk_c9)**.
% 0.43/0.61 144[2:SpL:129.0,46.1] || equal(multiply(sk_c3,u),inverse(sk_c10)) equal(u,sk_c10) equal(multiply(multiply(sk_c3,u),sk_c9),sk_c10)** -> .
% 0.43/0.61 146[2:Rew:44.0,144.2] || equal(multiply(sk_c3,u),inverse(sk_c10)) equal(u,sk_c10) equal(multiply(sk_c3,multiply(u,sk_c9)),sk_c10)** -> .
% 0.43/0.61 152[6:SpR:72.0,130.0] || -> equal(multiply(sk_c10,sk_c8),sk_c10)**.
% 0.43/0.61 154[6:Rew:73.0,152.0] || -> equal(sk_c10,sk_c9)**.
% 0.43/0.61 170[6:Rew:154.0,143.0] || -> equal(multiply(sk_c9,sk_c9),sk_c9)**.
% 0.43/0.61 176[6:Rew:154.0,55.0] || equal(sk_c9,sk_c9) equal(multiply(sk_c9,sk_c9),sk_c10)** -> .
% 0.43/0.61 201[6:Obv:176.0] || equal(multiply(sk_c9,sk_c9),sk_c10)** -> .
% 0.43/0.61 202[6:Rew:170.0,201.0,154.0,201.0] || equal(sk_c9,sk_c9)* -> .
% 0.43/0.61 203[6:Obv:202.0] || -> .
% 0.43/0.61 228[5:Spt:203.0,20.1,56.0] || equal(multiply(sk_c2,sk_c9),sk_c10)** -> .
% 0.43/0.61 229[5:Spt:203.0,20.0] || -> equal(inverse(sk_c5),sk_c6)**.
% 0.43/0.61 230[5:MRR:24.1,228.0] || -> equal(inverse(sk_c7),sk_c10)**.
% 0.43/0.61 231[5:MRR:17.1,228.0] || -> equal(inverse(sk_c4),sk_c10)**.
% 0.43/0.61 232[5:MRR:23.1,228.0] || -> equal(multiply(sk_c7,sk_c10),sk_c8)**.
% 0.43/0.61 233[5:MRR:22.1,228.0] || -> equal(multiply(sk_c10,sk_c8),sk_c9)**.
% 0.43/0.61 234[5:MRR:21.1,228.0] || -> equal(multiply(sk_c6,sk_c10),sk_c9)**.
% 0.43/0.61 235[5:MRR:19.1,228.0] || -> equal(multiply(sk_c5,sk_c6),sk_c9)**.
% 0.43/0.61 237[5:SpR:229.0,43.0] || -> equal(multiply(sk_c6,sk_c5),identity)**.
% 0.43/0.61 239[5:SpR:230.0,43.0] || -> equal(multiply(sk_c10,sk_c7),identity)**.
% 0.43/0.61 243[5:SpR:231.0,43.0] || -> equal(multiply(sk_c10,sk_c4),identity)**.
% 0.43/0.61 272[0:SpR:133.0,133.0] || -> equal(multiply(inverse(inverse(u)),v),multiply(u,v))**.
% 0.43/0.61 275[0:SpR:43.0,133.0] || -> equal(multiply(inverse(inverse(u)),identity),u)**.
% 0.43/0.61 278[4:SpR:143.0,133.0] || -> equal(multiply(inverse(sk_c10),sk_c9),sk_c10)**.
% 0.43/0.61 279[2:SpR:97.0,133.0] || -> equal(multiply(inverse(sk_c10),identity),sk_c3)**.
% 0.43/0.61 280[5:SpR:233.0,133.0] || -> equal(multiply(inverse(sk_c10),sk_c9),sk_c8)**.
% 0.43/0.61 281[5:SpR:239.0,133.0] || -> equal(multiply(inverse(sk_c10),identity),sk_c7)**.
% 0.43/0.61 282[5:SpR:243.0,133.0] || -> equal(multiply(inverse(sk_c10),identity),sk_c4)**.
% 0.43/0.61 283[5:SpR:232.0,133.0] || -> equal(multiply(inverse(sk_c7),sk_c8),sk_c10)**.
% 0.43/0.61 287[5:SpR:235.0,133.0] || -> equal(multiply(inverse(sk_c5),sk_c9),sk_c6)**.
% 0.43/0.61 288[5:SpR:237.0,133.0] || -> equal(multiply(inverse(sk_c6),identity),sk_c5)**.
% 0.43/0.61 294[5:Rew:278.0,280.0] || -> equal(sk_c10,sk_c8)**.
% 0.43/0.61 297[5:Rew:294.0,231.0] || -> equal(inverse(sk_c4),sk_c8)**.
% 0.43/0.61 298[5:Rew:294.0,143.0] || -> equal(multiply(sk_c8,sk_c8),sk_c9)**.
% 0.43/0.61 303[5:Rew:294.0,234.0] || -> equal(multiply(sk_c6,sk_c8),sk_c9)**.
% 0.43/0.61 306[5:Rew:294.0,243.0] || -> equal(multiply(sk_c8,sk_c4),identity)**.
% 0.43/0.61 315[5:Rew:294.0,146.0] || equal(multiply(sk_c3,u),inverse(sk_c8)) equal(u,sk_c10) equal(multiply(sk_c3,multiply(u,sk_c9)),sk_c10)** -> .
% 0.43/0.61 316[5:Rew:294.0,279.0] || -> equal(multiply(inverse(sk_c8),identity),sk_c3)**.
% 0.43/0.61 327[5:Rew:294.0,278.0] || -> equal(multiply(inverse(sk_c8),sk_c9),sk_c8)**.
% 0.43/0.61 328[5:Rew:294.0,281.0] || -> equal(multiply(inverse(sk_c8),identity),sk_c7)**.
% 0.43/0.61 329[5:Rew:328.0,282.0,294.0,282.0] || -> equal(sk_c7,sk_c4)**.
% 0.43/0.61 334[5:Rew:298.0,283.0,297.0,283.0,329.0,283.0,294.0,283.0] || -> equal(sk_c8,sk_c9)**.
% 0.43/0.61 335[5:Rew:334.0,294.0] || -> equal(sk_c10,sk_c9)**.
% 0.43/0.61 337[5:Rew:334.0,297.0] || -> equal(inverse(sk_c4),sk_c9)**.
% 0.43/0.61 341[5:Rew:334.0,303.0] || -> equal(multiply(sk_c6,sk_c9),sk_c9)**.
% 0.43/0.61 343[5:Rew:334.0,306.0] || -> equal(multiply(sk_c9,sk_c4),identity)**.
% 0.43/0.61 348[5:Rew:229.0,287.0] || -> equal(multiply(sk_c6,sk_c9),sk_c6)**.
% 0.43/0.61 349[5:Rew:341.0,348.0] || -> equal(sk_c6,sk_c9)**.
% 0.43/0.61 352[5:Rew:349.0,237.0] || -> equal(multiply(sk_c9,sk_c5),identity)**.
% 0.43/0.61 357[5:Rew:349.0,288.0] || -> equal(multiply(inverse(sk_c9),identity),sk_c5)**.
% 0.43/0.61 359[5:Rew:357.0,316.0,334.0,316.0] || -> equal(sk_c3,sk_c5)**.
% 0.43/0.61 363[5:Rew:334.0,327.0] || -> equal(multiply(inverse(sk_c9),sk_c9),sk_c9)**.
% 0.43/0.61 364[5:Rew:43.0,363.0] || -> equal(identity,sk_c9)**.
% 0.43/0.61 365[5:Rew:364.0,42.0] || -> equal(multiply(sk_c9,u),u)**.
% 0.43/0.61 370[5:Rew:364.0,343.0] || -> equal(multiply(sk_c9,sk_c4),sk_c9)**.
% 0.43/0.61 371[5:Rew:364.0,352.0] || -> equal(multiply(sk_c9,sk_c5),sk_c9)**.
% 0.43/0.61 373[5:Rew:365.0,370.0] || -> equal(sk_c9,sk_c4)**.
% 0.43/0.61 374[5:Rew:373.0,334.0] || -> equal(sk_c8,sk_c4)**.
% 0.43/0.61 375[5:Rew:373.0,335.0] || -> equal(sk_c10,sk_c4)**.
% 0.43/0.61 376[5:Rew:373.0,337.0] || -> equal(inverse(sk_c4),sk_c4)**.
% 0.43/0.61 382[5:Rew:373.0,364.0] || -> equal(identity,sk_c4)**.
% 0.43/0.61 383[5:Rew:373.0,365.0] || -> equal(multiply(sk_c4,u),u)**.
% 0.43/0.61 385[5:Rew:373.0,371.0] || -> equal(multiply(sk_c4,sk_c5),sk_c4)**.
% 0.43/0.61 386[5:Rew:383.0,385.0] || -> equal(sk_c5,sk_c4)**.
% 0.43/0.61 387[5:Rew:386.0,359.0] || -> equal(sk_c3,sk_c4)**.
% 0.43/0.61 396[5:Rew:382.0,275.0] || -> equal(multiply(inverse(inverse(u)),sk_c4),u)**.
% 0.43/0.61 405[5:Rew:272.0,396.0] || -> equal(multiply(u,sk_c4),u)**.
% 0.43/0.61 430[5:Rew:383.0,315.2,387.0,315.2,405.0,315.2,373.0,315.2,375.0,315.2,375.0,315.1,383.0,315.0,387.0,315.0,376.0,315.0,374.0,315.0] || equal(u,sk_c4)* equal(u,sk_c4)* equal(u,sk_c4)* -> .
% 0.43/0.61 431[5:Obv:430.1] || equal(u,sk_c4)* -> .
% 0.43/0.61 432[5:UnC:431.0,133.0] || -> .
% 0.43/0.61 434[4:Spt:432.0,36.1,51.0] || equal(multiply(sk_c3,sk_c9),sk_c10)** -> .
% 0.43/0.61 435[4:Spt:432.0,36.0] || -> equal(inverse(sk_c5),sk_c6)**.
% 0.43/0.61 436[0:Rew:272.0,275.0] || -> equal(multiply(u,identity),u)**.
% 0.43/0.61 438[2:Rew:436.0,279.0] || -> equal(inverse(sk_c10),sk_c3)**.
% 0.43/0.61 439[4:MRR:40.1,434.0] || -> equal(inverse(sk_c7),sk_c10)**.
% 0.43/0.61 441[4:MRR:39.1,434.0] || -> equal(multiply(sk_c7,sk_c10),sk_c8)**.
% 0.43/0.61 442[4:MRR:38.1,434.0] || -> equal(multiply(sk_c10,sk_c8),sk_c9)**.
% 0.43/0.61 443[4:MRR:37.1,434.0] || -> equal(multiply(sk_c6,sk_c10),sk_c9)**.
% 0.43/0.61 444[4:MRR:35.1,434.0] || -> equal(multiply(sk_c5,sk_c6),sk_c9)**.
% 0.43/0.61 455[2:SpR:438.0,133.0] || -> equal(multiply(sk_c3,multiply(sk_c10,u)),u)**.
% 0.43/0.61 472[4:SpR:441.0,133.0] || -> equal(multiply(inverse(sk_c7),sk_c8),sk_c10)**.
% 0.43/0.61 474[4:Rew:439.0,472.0] || -> equal(multiply(sk_c10,sk_c8),sk_c10)**.
% 0.43/0.61 475[4:Rew:442.0,474.0] || -> equal(sk_c10,sk_c9)**.
% 0.43/0.61 477[4:Rew:475.0,438.0] || -> equal(inverse(sk_c9),sk_c3)**.
% 0.43/0.61 482[4:Rew:475.0,434.0] || equal(multiply(sk_c3,sk_c9),sk_c9)** -> .
% 0.43/0.61 484[4:Rew:475.0,442.0] || -> equal(multiply(sk_c9,sk_c8),sk_c9)**.
% 0.43/0.61 485[4:Rew:475.0,443.0] || -> equal(multiply(sk_c6,sk_c9),sk_c9)**.
% 0.43/0.61 513[4:SpR:444.0,133.0] || -> equal(multiply(inverse(sk_c5),sk_c9),sk_c6)**.
% 0.43/0.61 515[4:Rew:435.0,513.0] || -> equal(multiply(sk_c6,sk_c9),sk_c6)**.
% 0.43/0.61 516[4:Rew:485.0,515.0] || -> equal(sk_c6,sk_c9)**.
% 0.43/0.61 520[4:Rew:516.0,485.0] || -> equal(multiply(sk_c9,sk_c9),sk_c9)**.
% 0.43/0.61 535[4:SpR:484.0,133.0] || -> equal(multiply(inverse(sk_c9),sk_c9),sk_c8)**.
% 0.43/0.61 537[4:Rew:477.0,535.0] || -> equal(multiply(sk_c3,sk_c9),sk_c8)**.
% 0.43/0.61 538[4:Rew:537.0,482.0] || equal(sk_c8,sk_c9)** -> .
% 0.43/0.61 548[4:SpR:520.0,133.0] || -> equal(multiply(inverse(sk_c9),sk_c9),sk_c9)**.
% 0.43/0.61 550[4:Rew:477.0,548.0] || -> equal(multiply(sk_c3,sk_c9),sk_c9)**.
% 0.43/0.61 551[4:Rew:537.0,550.0] || -> equal(sk_c8,sk_c9)**.
% 0.43/0.61 552[4:MRR:551.0,538.0] || -> .
% 0.43/0.61 553[3:Spt:552.0,16.1,49.0] || equal(inverse(sk_c1),sk_c2)** -> .
% 0.43/0.61 554[3:Spt:552.0,16.0] || -> equal(inverse(sk_c7),sk_c10)**.
% 0.43/0.61 555[3:MRR:12.1,553.0] || -> equal(inverse(sk_c5),sk_c6)**.
% 0.43/0.61 557[3:MRR:15.0,553.0] || -> equal(multiply(sk_c7,sk_c10),sk_c8)**.
% 0.43/0.61 558[3:MRR:14.0,553.0] || -> equal(multiply(sk_c10,sk_c8),sk_c9)**.
% 0.43/0.61 559[3:MRR:13.0,553.0] || -> equal(multiply(sk_c6,sk_c10),sk_c9)**.
% 0.43/0.61 560[3:MRR:11.0,553.0] || -> equal(multiply(sk_c5,sk_c6),sk_c9)**.
% 0.43/0.61 562[2:Rew:438.0,104.0] || equal(sk_c3,sk_c3) equal(sk_c10,identity) equal(multiply(sk_c3,sk_c9),sk_c10)** -> .
% 0.43/0.61 563[2:Obv:562.0] || equal(sk_c10,identity) equal(multiply(sk_c3,sk_c9),sk_c10)** -> .
% 0.43/0.61 564[3:SpR:554.0,133.0] || -> equal(multiply(sk_c10,multiply(sk_c7,u)),u)**.
% 0.43/0.61 580[3:SpR:557.0,133.0] || -> equal(multiply(inverse(sk_c7),sk_c8),sk_c10)**.
% 0.43/0.61 582[3:Rew:554.0,580.0] || -> equal(multiply(sk_c10,sk_c8),sk_c10)**.
% 0.43/0.61 583[3:Rew:558.0,582.0] || -> equal(sk_c10,sk_c9)**.
% 0.43/0.61 584[3:Rew:583.0,554.0] || -> equal(inverse(sk_c7),sk_c9)**.
% 0.43/0.61 585[3:Rew:583.0,438.0] || -> equal(inverse(sk_c9),sk_c3)**.
% 0.43/0.61 588[3:Rew:583.0,97.0] || -> equal(multiply(sk_c9,sk_c3),identity)**.
% 0.43/0.61 590[3:Rew:583.0,455.0] || -> equal(multiply(sk_c3,multiply(sk_c9,u)),u)**.
% 0.43/0.61 592[3:Rew:583.0,558.0] || -> equal(multiply(sk_c9,sk_c8),sk_c9)**.
% 0.43/0.61 593[3:Rew:583.0,559.0] || -> equal(multiply(sk_c6,sk_c9),sk_c9)**.
% 0.43/0.61 596[3:Rew:583.0,563.0] || equal(identity,sk_c9) equal(multiply(sk_c3,sk_c9),sk_c10)** -> .
% 0.43/0.61 601[3:Rew:583.0,564.0] || -> equal(multiply(sk_c9,multiply(sk_c7,u)),u)**.
% 0.43/0.61 604[3:Rew:583.0,596.1] || equal(identity,sk_c9) equal(multiply(sk_c3,sk_c9),sk_c9)** -> .
% 0.43/0.61 620[3:SpR:560.0,133.0] || -> equal(multiply(inverse(sk_c5),sk_c9),sk_c6)**.
% 0.43/0.61 622[3:Rew:555.0,620.0] || -> equal(multiply(sk_c6,sk_c9),sk_c6)**.
% 0.43/0.61 623[3:Rew:593.0,622.0] || -> equal(sk_c6,sk_c9)**.
% 0.43/0.61 627[3:Rew:623.0,593.0] || -> equal(multiply(sk_c9,sk_c9),sk_c9)**.
% 0.43/0.61 642[3:SpR:592.0,133.0] || -> equal(multiply(inverse(sk_c9),sk_c9),sk_c8)**.
% 0.43/0.61 644[3:Rew:585.0,642.0] || -> equal(multiply(sk_c3,sk_c9),sk_c8)**.
% 0.43/0.61 645[3:Rew:644.0,604.1] || equal(identity,sk_c9)** equal(sk_c8,sk_c9) -> .
% 0.43/0.61 655[3:SpR:627.0,133.0] || -> equal(multiply(inverse(sk_c9),sk_c9),sk_c9)**.
% 0.43/0.61 657[3:Rew:585.0,655.0] || -> equal(multiply(sk_c3,sk_c9),sk_c9)**.
% 0.43/0.61 658[3:Rew:644.0,657.0] || -> equal(sk_c8,sk_c9)**.
% 0.43/0.61 663[3:Rew:658.0,644.0] || -> equal(multiply(sk_c3,sk_c9),sk_c9)**.
% 0.43/0.61 664[3:Rew:658.0,645.1] || equal(identity,sk_c9)** equal(sk_c9,sk_c9) -> .
% 0.43/0.61 665[3:Obv:664.1] || equal(identity,sk_c9)** -> .
% 0.43/0.61 671[3:SpR:663.0,44.0] || -> equal(multiply(sk_c3,multiply(sk_c9,u)),multiply(sk_c9,u))**.
% 0.43/0.61 675[3:Rew:590.0,671.0] || -> equal(multiply(sk_c9,u),u)**.
% 0.43/0.61 676[3:Rew:675.0,588.0] || -> equal(identity,sk_c3)**.
% 0.43/0.61 679[3:Rew:675.0,601.0] || -> equal(multiply(sk_c7,u),u)**.
% 0.43/0.61 685[3:Rew:676.0,665.0] || equal(sk_c3,sk_c9)** -> .
% 0.43/0.61 687[3:Rew:676.0,43.0] || -> equal(multiply(inverse(u),u),sk_c3)**.
% 0.43/0.61 699[3:SpR:584.0,687.0] || -> equal(multiply(sk_c9,sk_c7),sk_c3)**.
% 0.43/0.61 700[3:SpR:585.0,687.0] || -> equal(multiply(sk_c3,sk_c9),sk_c3)**.
% 0.43/0.61 704[3:Rew:675.0,699.0] || -> equal(sk_c3,sk_c7)**.
% 0.43/0.61 709[3:Rew:704.0,685.0] || equal(sk_c7,sk_c9)** -> .
% 0.43/0.61 712[3:Rew:679.0,700.0,704.0,700.0] || -> equal(sk_c7,sk_c9)**.
% 0.43/0.61 713[3:MRR:712.0,709.0] || -> .
% 0.43/0.61 731[2:Spt:713.0,28.1,47.0] || equal(inverse(sk_c3),sk_c10)** -> .
% 0.43/0.61 732[2:Spt:713.0,28.0] || -> equal(inverse(sk_c5),sk_c6)**.
% 0.43/0.61 733[2:MRR:32.1,731.0] || -> equal(inverse(sk_c7),sk_c10)**.
% 0.43/0.61 735[2:MRR:31.0,731.0] || -> equal(multiply(sk_c7,sk_c10),sk_c8)**.
% 0.43/0.61 736[2:MRR:30.0,731.0] || -> equal(multiply(sk_c10,sk_c8),sk_c9)**.
% 0.43/0.61 737[2:MRR:29.0,731.0] || -> equal(multiply(sk_c6,sk_c10),sk_c9)**.
% 0.43/0.61 738[2:MRR:27.0,731.0] || -> equal(multiply(sk_c5,sk_c6),sk_c9)**.
% 0.43/0.61 739[2:MRR:26.0,731.0] || -> equal(multiply(sk_c4,sk_c9),sk_c10)**.
% 0.43/0.61 747[2:SpR:735.0,133.0] || -> equal(multiply(inverse(sk_c7),sk_c8),sk_c10)**.
% 0.43/0.61 749[2:Rew:733.0,747.0] || -> equal(multiply(sk_c10,sk_c8),sk_c10)**.
% 0.43/0.61 750[2:Rew:736.0,749.0] || -> equal(sk_c10,sk_c9)**.
% 0.43/0.61 755[2:Rew:750.0,736.0] || -> equal(multiply(sk_c9,sk_c8),sk_c9)**.
% 0.43/0.61 756[2:Rew:750.0,737.0] || -> equal(multiply(sk_c6,sk_c9),sk_c9)**.
% 0.43/0.61 757[2:Rew:750.0,739.0] || -> equal(multiply(sk_c4,sk_c9),sk_c9)**.
% 0.43/0.61 758[2:Rew:750.0,61.1] || equal(inverse(identity),u) equal(u,sk_c9) equal(multiply(u,sk_c9),sk_c10)** -> .
% 0.43/0.61 765[2:Rew:750.0,758.2] || equal(inverse(identity),u) equal(u,sk_c9) equal(multiply(u,sk_c9),sk_c9)** -> .
% 0.43/0.61 775[2:SpR:738.0,133.0] || -> equal(multiply(inverse(sk_c5),sk_c9),sk_c6)**.
% 0.43/0.61 777[2:Rew:732.0,775.0] || -> equal(multiply(sk_c6,sk_c9),sk_c6)**.
% 0.43/0.61 778[2:Rew:756.0,777.0] || -> equal(sk_c6,sk_c9)**.
% 0.43/0.61 779[2:Rew:778.0,732.0] || -> equal(inverse(sk_c5),sk_c9)**.
% 0.43/0.61 780[2:Rew:778.0,738.0] || -> equal(multiply(sk_c5,sk_c9),sk_c9)**.
% 0.43/0.61 782[2:Rew:778.0,756.0] || -> equal(multiply(sk_c9,sk_c9),sk_c9)**.
% 0.43/0.61 792[2:SpR:755.0,133.0] || -> equal(multiply(inverse(sk_c9),sk_c9),sk_c8)**.
% 0.43/0.61 794[2:Rew:43.0,792.0] || -> equal(identity,sk_c8)**.
% 0.43/0.61 795[2:Rew:794.0,436.0] || -> equal(multiply(u,sk_c8),u)**.
% 0.43/0.61 798[2:Rew:794.0,765.0] || equal(inverse(sk_c8),u) equal(u,sk_c9) equal(multiply(u,sk_c9),sk_c9)** -> .
% 0.43/0.61 799[2:Rew:794.0,43.0] || -> equal(multiply(inverse(u),u),sk_c8)**.
% 0.43/0.61 813[2:SpR:782.0,133.0] || -> equal(multiply(inverse(sk_c9),sk_c9),sk_c9)**.
% 0.43/0.61 815[2:Rew:799.0,813.0] || -> equal(sk_c8,sk_c9)**.
% 0.43/0.61 818[2:Rew:815.0,795.0] || -> equal(multiply(u,sk_c9),u)**.
% 0.43/0.61 821[2:Rew:815.0,798.0] || equal(inverse(sk_c9),u) equal(u,sk_c9) equal(multiply(u,sk_c9),sk_c9)** -> .
% 0.43/0.61 824[2:Rew:818.0,780.0] || -> equal(sk_c5,sk_c9)**.
% 0.43/0.61 825[2:Rew:818.0,757.0] || -> equal(sk_c9,sk_c4)**.
% 0.43/0.61 829[2:Rew:824.0,779.0] || -> equal(inverse(sk_c9),sk_c9)**.
% 0.43/0.61 843[2:Rew:825.0,818.0] || -> equal(multiply(u,sk_c4),u)**.
% 0.43/0.61 846[2:Rew:825.0,829.0] || -> equal(inverse(sk_c4),sk_c4)**.
% 0.43/0.61 857[2:Rew:843.0,821.2,825.0,821.2,825.0,821.1,846.0,821.0,825.0,821.0] || equal(sk_c4,u)* equal(u,sk_c4)* equal(u,sk_c4)* -> .
% 0.43/0.61 858[2:Obv:857.1] || equal(u,sk_c4)* -> .
% 0.43/0.61 859[2:UnC:858.0,133.0] || -> .
% 0.43/0.61 864[1:Spt:859.0,45.0,45.2,45.3,45.4,45.6,45.7,45.8,45.10] || equal(inverse(u),v) equal(inverse(w),sk_c10) equal(inverse(x),sk_c10) equal(multiply(u,v),sk_c9)**+ equal(multiply(w,sk_c10),y)* equal(multiply(v,sk_c10),sk_c9)** equal(multiply(x,sk_c9),sk_c10)** equal(multiply(sk_c10,y),sk_c9)** -> .
% 0.43/0.61 868[2:Spt:12.1] || -> equal(inverse(sk_c1),sk_c2)**.
% 0.43/0.61 869[2:SpR:868.0,133.0] || -> equal(multiply(sk_c2,multiply(sk_c1,u)),u)**.
% 0.43/0.61 871[3:Spt:32.1] || -> equal(inverse(sk_c3),sk_c10)**.
% 0.43/0.61 872[3:SpR:871.0,133.0] || -> equal(multiply(sk_c10,multiply(sk_c3,u)),u)**.
% 0.43/0.61 874[4:Spt:4.1] || -> equal(multiply(sk_c1,sk_c2),sk_c10)**.
% 0.43/0.61 876[4:SpR:874.0,133.0] || -> equal(multiply(inverse(sk_c1),sk_c10),sk_c2)**.
% 0.43/0.61 878[4:SpL:874.0,864.3] || equal(inverse(sk_c1),sk_c2) equal(inverse(u),sk_c10) equal(inverse(v),sk_c10) equal(sk_c10,sk_c9) equal(multiply(u,sk_c10),w)* equal(multiply(sk_c2,sk_c10),sk_c9) equal(multiply(v,sk_c9),sk_c10)** equal(multiply(sk_c10,w),sk_c9)** -> .
% 0.43/0.61 879[4:Rew:868.0,876.0] || -> equal(multiply(sk_c2,sk_c10),sk_c2)**.
% 0.43/0.61 880[4:Rew:868.0,878.0] || equal(sk_c2,sk_c2) equal(inverse(u),sk_c10) equal(inverse(v),sk_c10) equal(sk_c10,sk_c9) equal(multiply(u,sk_c10),w)* equal(multiply(sk_c2,sk_c10),sk_c9) equal(multiply(v,sk_c9),sk_c10)** equal(multiply(sk_c10,w),sk_c9)** -> .
% 0.43/0.61 881[4:Obv:880.0] || equal(inverse(u),sk_c10) equal(inverse(v),sk_c10) equal(sk_c10,sk_c9) equal(multiply(u,sk_c10),w)* equal(multiply(sk_c2,sk_c10),sk_c9) equal(multiply(v,sk_c9),sk_c10)** equal(multiply(sk_c10,w),sk_c9)** -> .
% 0.43/0.61 882[4:Rew:879.0,881.4] || equal(inverse(u),sk_c10) equal(inverse(v),sk_c10) equal(sk_c10,sk_c9) equal(multiply(u,sk_c10),w)* equal(sk_c9,sk_c2) equal(multiply(v,sk_c9),sk_c10)** equal(multiply(sk_c10,w),sk_c9)** -> .
% 0.43/0.61 883[5:Spt:20.1] || -> equal(multiply(sk_c2,sk_c9),sk_c10)**.
% 0.43/0.61 888[6:Spt:40.1] || -> equal(multiply(sk_c3,sk_c9),sk_c10)**.
% 0.43/0.61 890[6:SpR:888.0,133.0] || -> equal(multiply(inverse(sk_c3),sk_c10),sk_c9)**.
% 0.43/0.61 893[6:Rew:871.0,890.0] || -> equal(multiply(sk_c10,sk_c10),sk_c9)**.
% 0.43/0.61 897[4:SpR:879.0,133.0] || -> equal(multiply(inverse(sk_c2),sk_c2),sk_c10)**.
% 0.43/0.61 900[4:Rew:43.0,897.0] || -> equal(sk_c10,identity)**.
% 0.43/0.61 901[4:Rew:900.0,864.1] || equal(inverse(u),v) equal(inverse(w),identity) equal(inverse(x),sk_c10) equal(multiply(u,v),sk_c9)** equal(multiply(w,sk_c10),y)* equal(multiply(v,sk_c10),sk_c9)** equal(multiply(x,sk_c9),sk_c10)** equal(multiply(sk_c10,y),sk_c9)** -> .
% 0.43/0.61 902[4:Rew:900.0,871.0] || -> equal(inverse(sk_c3),identity)**.
% 0.43/0.61 903[4:Rew:900.0,874.0] || -> equal(multiply(sk_c1,sk_c2),identity)**.
% 0.43/0.61 904[5:Rew:900.0,883.0] || -> equal(multiply(sk_c2,sk_c9),identity)**.
% 0.43/0.61 909[4:Rew:900.0,872.0] || -> equal(multiply(identity,multiply(sk_c3,u)),u)**.
% 0.43/0.61 914[4:Rew:900.0,882.0] || equal(inverse(u),identity) equal(inverse(v),sk_c10) equal(sk_c10,sk_c9) equal(multiply(u,sk_c10),w)* equal(sk_c9,sk_c2) equal(multiply(v,sk_c9),sk_c10)** equal(multiply(sk_c10,w),sk_c9)** -> .
% 0.43/0.61 916[6:Rew:900.0,893.0] || -> equal(multiply(identity,identity),sk_c9)**.
% 0.43/0.61 917[6:Rew:42.0,916.0] || -> equal(identity,sk_c9)**.
% 0.43/0.61 918[6:Rew:917.0,42.0] || -> equal(multiply(sk_c9,u),u)**.
% 0.43/0.61 919[6:Rew:917.0,436.0] || -> equal(multiply(u,sk_c9),u)**.
% 0.43/0.61 922[6:Rew:917.0,900.0] || -> equal(sk_c10,sk_c9)**.
% 0.43/0.61 924[6:Rew:917.0,903.0] || -> equal(multiply(sk_c1,sk_c2),sk_c9)**.
% 0.43/0.61 925[6:Rew:917.0,904.0] || -> equal(multiply(sk_c2,sk_c9),sk_c9)**.
% 0.43/0.61 927[6:Rew:919.0,925.0] || -> equal(sk_c9,sk_c2)**.
% 0.43/0.61 928[6:Rew:927.0,917.0] || -> equal(identity,sk_c2)**.
% 0.43/0.61 929[6:Rew:927.0,922.0] || -> equal(sk_c10,sk_c2)**.
% 0.43/0.61 931[6:Rew:927.0,918.0] || -> equal(multiply(sk_c2,u),u)**.
% 0.43/0.61 932[6:Rew:927.0,919.0] || -> equal(multiply(u,sk_c2),u)**.
% 0.43/0.61 933[6:Rew:927.0,924.0] || -> equal(multiply(sk_c1,sk_c2),sk_c2)**.
% 0.43/0.61 935[6:Rew:931.0,869.0] || -> equal(multiply(sk_c1,u),u)**.
% 0.43/0.61 938[6:Rew:932.0,933.0] || -> equal(sk_c2,sk_c1)**.
% 0.43/0.61 939[6:Rew:938.0,868.0] || -> equal(inverse(sk_c1),sk_c1)**.
% 0.43/0.61 940[6:Rew:938.0,927.0] || -> equal(sk_c9,sk_c1)**.
% 0.43/0.61 941[6:Rew:938.0,928.0] || -> equal(identity,sk_c1)**.
% 0.43/0.61 942[6:Rew:938.0,929.0] || -> equal(sk_c10,sk_c1)**.
% 0.43/0.61 944[6:Rew:938.0,932.0] || -> equal(multiply(u,sk_c1),u)**.
% 0.43/0.61 955[6:Rew:935.0,914.6,942.0,914.6,940.0,914.6,944.0,914.5,940.0,914.5,942.0,914.5,940.0,914.4,938.0,914.4,944.0,914.3,942.0,914.3,942.0,914.2,940.0,914.2,942.0,914.1,941.0,914.0] || equal(inverse(u),sk_c1)** equal(inverse(v),sk_c1)** equal(sk_c1,sk_c1) equal(u,w)* equal(sk_c1,sk_c1) equal(v,sk_c1) equal(w,sk_c1)* -> .
% 0.43/0.61 956[6:Obv:955.4] || equal(inverse(u),sk_c1)**+ equal(inverse(v),sk_c1)** equal(u,w)* equal(v,sk_c1) equal(w,sk_c1)* -> .
% 0.43/0.61 993[0:SpR:272.0,133.0] || -> equal(multiply(u,multiply(inverse(u),v)),v)**.
% 0.43/0.61 1135[6:SpL:939.0,956.0] || equal(sk_c1,sk_c1) equal(inverse(u),sk_c1)** equal(sk_c1,v)* equal(u,sk_c1) equal(v,sk_c1)* -> .
% 0.43/0.61 1137[6:Obv:1135.2] || equal(inverse(u),sk_c1)** equal(u,sk_c1) equal(v,sk_c1)* -> .
% 0.43/0.61 1138[6:Con:1137.2] || equal(inverse(u),sk_c1)** equal(u,sk_c1) -> .
% 0.43/0.61 1139[6:SpL:939.0,1138.0] || equal(sk_c1,sk_c1)* equal(sk_c1,sk_c1)* -> .
% 0.43/0.61 1141[6:Obv:1139.1] || -> .
% 0.43/0.61 1142[6:Spt:1141.0,40.1,888.0] || equal(multiply(sk_c3,sk_c9),sk_c10)** -> .
% 0.43/0.61 1143[6:Spt:1141.0,40.0] || -> equal(inverse(sk_c7),sk_c10)**.
% 0.43/0.61 1146[6:Rew:900.0,1142.0] || equal(multiply(sk_c3,sk_c9),identity)** -> .
% 0.43/0.61 1147[4:Rew:42.0,909.0] || -> equal(multiply(sk_c3,u),u)**.
% 0.43/0.61 1148[6:Rew:1147.0,1146.0] || equal(identity,sk_c9)** -> .
% 0.43/0.61 1149[4:Rew:1147.0,33.1,900.0,33.1,900.0,33.0] || -> equal(inverse(sk_c4),identity)** equal(identity,sk_c9).
% 0.43/0.61 1150[6:MRR:1149.1,1148.0] || -> equal(inverse(sk_c4),identity)**.
% 0.43/0.61 1160[4:Rew:1147.0,38.1,900.0,38.1,42.0,38.0,900.0,38.0] || -> equal(sk_c8,sk_c9) equal(identity,sk_c9)**.
% 0.43/0.61 1169[4:Rew:1147.0,34.1,900.0,34.1,900.0,34.0] || -> equal(multiply(sk_c4,sk_c9),identity)** equal(identity,sk_c9).
% 0.43/0.61 1170[6:MRR:1169.1,1148.0] || -> equal(multiply(sk_c4,sk_c9),identity)**.
% 0.43/0.61 1179[4:Rew:42.0,901.7,900.0,901.7,900.0,901.6,436.0,901.5,900.0,901.5,436.0,901.4,900.0,901.4,900.0,901.2] || equal(inverse(u),v) equal(inverse(w),identity)** equal(inverse(x),identity) equal(multiply(u,v),sk_c9)** equal(w,y)* equal(v,sk_c9) equal(multiply(x,sk_c9),identity)** equal(y,sk_c9)* -> .
% 0.43/0.61 1197[6:SpR:1150.0,133.0] || -> equal(multiply(identity,multiply(sk_c4,u)),u)**.
% 0.43/0.61 1200[6:Rew:42.0,1197.0] || -> equal(multiply(sk_c4,u),u)**.
% 0.43/0.61 1201[6:Rew:1200.0,1170.0] || -> equal(identity,sk_c9)**.
% 0.43/0.61 1202[6:MRR:1201.0,1148.0] || -> .
% 0.43/0.61 1204[5:Spt:1202.0,20.1,883.0] || equal(multiply(sk_c2,sk_c9),sk_c10)** -> .
% 0.43/0.61 1205[5:Spt:1202.0,20.0] || -> equal(inverse(sk_c5),sk_c6)**.
% 0.43/0.61 1207[5:Rew:900.0,1204.0] || equal(multiply(sk_c2,sk_c9),identity)** -> .
% 0.43/0.61 1240[4:Rew:900.0,18.1,900.0,18.0] || -> equal(multiply(sk_c4,sk_c9),identity)** equal(multiply(sk_c2,sk_c9),identity).
% 0.43/0.61 1241[4:Rew:1169.1,1240.1] || -> equal(multiply(sk_c4,sk_c9),identity)** equal(multiply(sk_c2,sk_c9),sk_c9).
% 0.43/0.61 1268[4:SpR:1147.0,436.0] || -> equal(identity,sk_c3)**.
% 0.43/0.61 1271[4:Rew:1268.0,902.0] || -> equal(inverse(sk_c3),sk_c3)**.
% 0.43/0.61 1273[4:Rew:1268.0,436.0] || -> equal(multiply(u,sk_c3),u)**.
% 0.43/0.61 1278[4:Rew:1268.0,1179.1] || equal(inverse(u),v) equal(inverse(w),sk_c3)** equal(inverse(x),identity) equal(multiply(u,v),sk_c9)** equal(w,y)* equal(v,sk_c9) equal(multiply(x,sk_c9),identity)** equal(y,sk_c9)* -> .
% 0.43/0.61 1284[4:Rew:1268.0,1169.1] || -> equal(multiply(sk_c4,sk_c9),identity)** equal(sk_c3,sk_c9).
% 0.43/0.61 1285[4:Rew:1268.0,1149.1] || -> equal(inverse(sk_c4),identity)** equal(sk_c3,sk_c9).
% 0.43/0.61 1287[4:Rew:1268.0,1160.1] || -> equal(sk_c8,sk_c9) equal(sk_c3,sk_c9)**.
% 0.43/0.61 1288[5:Rew:1268.0,1207.0] || equal(multiply(sk_c2,sk_c9),sk_c3)** -> .
% 0.43/0.61 1290[4:Rew:1268.0,1241.0] || -> equal(multiply(sk_c4,sk_c9),sk_c3)** equal(multiply(sk_c2,sk_c9),sk_c9).
% 0.43/0.61 1298[4:Rew:1268.0,1285.0] || -> equal(inverse(sk_c4),sk_c3)** equal(sk_c3,sk_c9).
% 0.43/0.61 1300[4:Rew:1268.0,1284.0] || -> equal(multiply(sk_c4,sk_c9),sk_c3)** equal(sk_c3,sk_c9).
% 0.43/0.61 1302[4:Rew:1268.0,1278.6,1268.0,1278.2] || equal(inverse(u),v) equal(inverse(w),sk_c3)** equal(inverse(x),sk_c3) equal(multiply(u,v),sk_c9)** equal(w,y)* equal(v,sk_c9) equal(multiply(x,sk_c9),sk_c3)** equal(y,sk_c9)* -> .
% 0.43/0.61 1321[6:Spt:1287.1] || -> equal(sk_c3,sk_c9)**.
% 0.43/0.61 1322[6:Rew:1321.0,1147.0] || -> equal(multiply(sk_c9,u),u)**.
% 0.43/0.61 1325[6:Rew:1321.0,1271.0] || -> equal(inverse(sk_c9),sk_c9)**.
% 0.43/0.61 1327[6:Rew:1321.0,1273.0] || -> equal(multiply(u,sk_c9),u)**.
% 0.43/0.61 1330[6:Rew:1321.0,1288.0] || equal(multiply(sk_c2,sk_c9),sk_c9)** -> .
% 0.43/0.61 1334[6:Rew:1321.0,1290.0] || -> equal(multiply(sk_c4,sk_c9),sk_c9)** equal(multiply(sk_c2,sk_c9),sk_c9).
% 0.43/0.61 1336[6:Rew:1321.0,1302.1] || equal(inverse(u),v) equal(inverse(w),sk_c9)** equal(inverse(x),sk_c3) equal(multiply(u,v),sk_c9)** equal(w,y)* equal(v,sk_c9) equal(multiply(x,sk_c9),sk_c3)** equal(y,sk_c9)* -> .
% 0.43/0.61 1343[6:Rew:1327.0,1330.0] || equal(sk_c9,sk_c2)** -> .
% 0.43/0.61 1352[6:Rew:1327.0,1334.1,1327.0,1334.0] || -> equal(sk_c9,sk_c4)** equal(sk_c9,sk_c2).
% 0.43/0.61 1353[6:MRR:1352.1,1343.0] || -> equal(sk_c9,sk_c4)**.
% 0.43/0.61 1355[6:Rew:1353.0,1321.0] || -> equal(sk_c3,sk_c4)**.
% 0.43/0.61 1358[6:Rew:1353.0,1325.0] || -> equal(inverse(sk_c4),sk_c4)**.
% 0.43/0.61 1359[6:Rew:1353.0,1322.0] || -> equal(multiply(sk_c4,u),u)**.
% 0.43/0.61 1361[6:Rew:1353.0,1327.0] || -> equal(multiply(u,sk_c4),u)**.
% 0.43/0.61 1371[6:Rew:1353.0,1336.7,1361.0,1336.6,1353.0,1336.6,1355.0,1336.6,1353.0,1336.5,1353.0,1336.3,1355.0,1336.2,1353.0,1336.1] || equal(inverse(u),v) equal(inverse(w),sk_c4)** equal(inverse(x),sk_c4)** equal(multiply(u,v),sk_c4)**+ equal(w,y)* equal(v,sk_c4) equal(x,sk_c4) equal(y,sk_c4)* -> .
% 0.43/0.61 1423[6:SpL:1359.0,1371.3] || equal(inverse(sk_c4),u)* equal(inverse(v),sk_c4)** equal(inverse(w),sk_c4)** equal(u,sk_c4) equal(v,x)* equal(u,sk_c4) equal(w,sk_c4) equal(x,sk_c4)* -> .
% 0.43/0.61 1424[6:Obv:1423.3] || equal(inverse(sk_c4),u)* equal(inverse(v),sk_c4)** equal(inverse(w),sk_c4)** equal(v,x)* equal(u,sk_c4) equal(w,sk_c4) equal(x,sk_c4)* -> .
% 0.43/0.61 1425[6:Rew:1358.0,1424.0] || equal(sk_c4,u)* equal(inverse(v),sk_c4)** equal(inverse(w),sk_c4)** equal(v,x)* equal(u,sk_c4)* equal(w,sk_c4) equal(x,sk_c4)* -> .
% 0.43/0.61 1426[6:Obv:1425.0] || equal(inverse(u),sk_c4)** equal(inverse(v),sk_c4)** equal(u,w)* equal(x,sk_c4)* equal(v,sk_c4) equal(w,sk_c4)* -> .
% 0.43/0.61 1427[6:Con:1426.3] || equal(inverse(u),sk_c4)**+ equal(inverse(v),sk_c4)** equal(u,w)* equal(v,sk_c4) equal(w,sk_c4)* -> .
% 0.43/0.61 1594[6:SpL:1358.0,1427.0] || equal(sk_c4,sk_c4) equal(inverse(u),sk_c4)** equal(sk_c4,v)* equal(u,sk_c4) equal(v,sk_c4)* -> .
% 0.43/0.61 1597[6:Obv:1594.2] || equal(inverse(u),sk_c4)** equal(u,sk_c4) equal(v,sk_c4)* -> .
% 0.43/0.61 1598[6:Con:1597.2] || equal(inverse(u),sk_c4)** equal(u,sk_c4) -> .
% 0.43/0.61 1682[6:SpL:1358.0,1598.0] || equal(sk_c4,sk_c4)* equal(sk_c4,sk_c4)* -> .
% 0.43/0.61 1687[6:Obv:1682.1] || -> .
% 0.43/0.61 1688[6:Spt:1687.0,1287.1,1321.0] || equal(sk_c3,sk_c9)** -> .
% 0.43/0.61 1689[6:Spt:1687.0,1287.0] || -> equal(sk_c8,sk_c9)**.
% 0.43/0.61 1692[6:MRR:1298.1,1688.0] || -> equal(inverse(sk_c4),sk_c3)**.
% 0.43/0.61 1694[6:MRR:1300.1,1688.0] || -> equal(multiply(sk_c4,sk_c9),sk_c3)**.
% 0.43/0.61 1715[6:SpR:1692.0,133.0] || -> equal(multiply(sk_c3,multiply(sk_c4,u)),u)**.
% 0.43/0.61 1718[6:Rew:1147.0,1715.0] || -> equal(multiply(sk_c4,u),u)**.
% 0.43/0.61 1719[6:Rew:1718.0,1694.0] || -> equal(sk_c3,sk_c9)**.
% 0.43/0.61 1720[6:MRR:1719.0,1688.0] || -> .
% 0.43/0.61 1722[4:Spt:1720.0,4.1,874.0] || equal(multiply(sk_c1,sk_c2),sk_c10)** -> .
% 0.43/0.61 1723[4:Spt:1720.0,4.0] || -> equal(inverse(sk_c5),sk_c6)**.
% 0.43/0.61 1724[4:MRR:8.1,1722.0] || -> equal(inverse(sk_c7),sk_c10)**.
% 0.43/0.61 1725[4:MRR:1.1,1722.0] || -> equal(inverse(sk_c4),sk_c10)**.
% 0.43/0.61 1726[4:MRR:7.1,1722.0] || -> equal(multiply(sk_c7,sk_c10),sk_c8)**.
% 0.43/0.61 1727[4:MRR:6.1,1722.0] || -> equal(multiply(sk_c10,sk_c8),sk_c9)**.
% 0.43/0.61 1728[4:MRR:5.1,1722.0] || -> equal(multiply(sk_c6,sk_c10),sk_c9)**.
% 0.43/0.61 1729[4:MRR:3.1,1722.0] || -> equal(multiply(sk_c5,sk_c6),sk_c9)**.
% 0.43/0.61 1732[4:SpR:1723.0,993.0] || -> equal(multiply(sk_c5,multiply(sk_c6,u)),u)**.
% 0.43/0.61 1744[4:SpR:1726.0,133.0] || -> equal(multiply(inverse(sk_c7),sk_c8),sk_c10)**.
% 0.43/0.61 1746[4:Rew:1724.0,1744.0] || -> equal(multiply(sk_c10,sk_c8),sk_c10)**.
% 0.43/0.61 1747[4:Rew:1727.0,1746.0] || -> equal(sk_c10,sk_c9)**.
% 0.43/0.61 1750[4:Rew:1747.0,1725.0] || -> equal(inverse(sk_c4),sk_c9)**.
% 0.43/0.61 1752[4:Rew:1747.0,1722.0] || equal(multiply(sk_c1,sk_c2),sk_c9)** -> .
% 0.43/0.61 1755[4:Rew:1747.0,1728.0] || -> equal(multiply(sk_c6,sk_c9),sk_c9)**.
% 0.43/0.61 1779[4:SpR:1729.0,44.0] || -> equal(multiply(sk_c5,multiply(sk_c6,u)),multiply(sk_c9,u))**.
% 0.43/0.61 1780[4:SpR:1729.0,133.0] || -> equal(multiply(inverse(sk_c5),sk_c9),sk_c6)**.
% 0.43/0.61 1782[4:Rew:1723.0,1780.0] || -> equal(multiply(sk_c6,sk_c9),sk_c6)**.
% 0.43/0.61 1783[4:Rew:1755.0,1782.0] || -> equal(sk_c6,sk_c9)**.
% 0.43/0.61 1787[4:Rew:1783.0,1732.0] || -> equal(multiply(sk_c5,multiply(sk_c9,u)),u)**.
% 0.43/0.61 1789[4:Rew:1787.0,1779.0,1783.0,1779.0] || -> equal(multiply(sk_c9,u),u)**.
% 0.43/0.61 1820[2:SpR:436.0,869.0] || -> equal(multiply(sk_c2,sk_c1),identity)**.
% 0.43/0.61 1825[2:SpR:1820.0,133.0] || -> equal(multiply(inverse(sk_c2),identity),sk_c1)**.
% 0.43/0.61 1827[2:Rew:436.0,1825.0] || -> equal(inverse(sk_c2),sk_c1)**.
% 0.43/0.61 1836[4:SpR:1789.0,436.0] || -> equal(identity,sk_c9)**.
% 0.43/0.61 1842[4:Rew:1836.0,43.0] || -> equal(multiply(inverse(u),u),sk_c9)**.
% 0.43/0.61 1863[4:SpR:1750.0,1842.0] || -> equal(multiply(sk_c9,sk_c4),sk_c9)**.
% 0.43/0.61 1865[4:SpR:1827.0,1842.0] || -> equal(multiply(sk_c1,sk_c2),sk_c9)**.
% 0.43/0.61 1873[4:Rew:1789.0,1863.0] || -> equal(sk_c9,sk_c4)**.
% 0.43/0.61 1879[4:Rew:1873.0,1752.0] || equal(multiply(sk_c1,sk_c2),sk_c4)** -> .
% 0.43/0.61 1895[4:Rew:1873.0,1865.0] || -> equal(multiply(sk_c1,sk_c2),sk_c4)**.
% 0.43/0.61 1899[4:Rew:1895.0,1879.0] || equal(sk_c4,sk_c4)* -> .
% 0.43/0.61 1900[4:Obv:1899.0] || -> .
% 0.43/0.61 1907[3:Spt:1900.0,32.1,871.0] || equal(inverse(sk_c3),sk_c10)** -> .
% 0.43/0.61 1908[3:Spt:1900.0,32.0] || -> equal(inverse(sk_c7),sk_c10)**.
% 0.43/0.61 1909[3:MRR:25.1,1907.0] || -> equal(inverse(sk_c4),sk_c10)**.
% 0.43/0.61 1910[3:MRR:28.1,1907.0] || -> equal(inverse(sk_c5),sk_c6)**.
% 0.43/0.61 1911[3:MRR:31.0,1907.0] || -> equal(multiply(sk_c7,sk_c10),sk_c8)**.
% 0.43/0.61 1912[3:MRR:30.0,1907.0] || -> equal(multiply(sk_c10,sk_c8),sk_c9)**.
% 0.43/0.61 1913[3:MRR:29.0,1907.0] || -> equal(multiply(sk_c6,sk_c10),sk_c9)**.
% 0.43/0.61 1914[3:MRR:27.0,1907.0] || -> equal(multiply(sk_c5,sk_c6),sk_c9)**.
% 0.43/0.61 1919[3:SpR:1909.0,133.0] || -> equal(multiply(sk_c10,multiply(sk_c4,u)),u)**.
% 0.43/0.61 1923[3:SpR:1910.0,993.0] || -> equal(multiply(sk_c5,multiply(sk_c6,u)),u)**.
% 0.43/0.61 1931[3:SpR:1911.0,133.0] || -> equal(multiply(inverse(sk_c7),sk_c8),sk_c10)**.
% 0.43/0.61 1933[3:Rew:1908.0,1931.0] || -> equal(multiply(sk_c10,sk_c8),sk_c10)**.
% 0.43/0.61 1934[3:Rew:1912.0,1933.0] || -> equal(sk_c10,sk_c9)**.
% 0.43/0.61 1936[3:Rew:1934.0,1909.0] || -> equal(inverse(sk_c4),sk_c9)**.
% 0.43/0.61 1940[3:Rew:1934.0,1913.0] || -> equal(multiply(sk_c6,sk_c9),sk_c9)**.
% 0.43/0.61 1943[3:Rew:1934.0,864.1] || equal(inverse(u),v) equal(inverse(w),sk_c9) equal(inverse(x),sk_c10) equal(multiply(u,v),sk_c9)** equal(multiply(w,sk_c10),y)* equal(multiply(v,sk_c10),sk_c9)** equal(multiply(x,sk_c9),sk_c10)** equal(multiply(sk_c10,y),sk_c9)** -> .
% 0.43/0.61 1948[3:Rew:1934.0,1919.0] || -> equal(multiply(sk_c9,multiply(sk_c4,u)),u)**.
% 0.43/0.61 1950[3:Rew:1934.0,1943.7,1934.0,1943.6,1934.0,1943.5,1934.0,1943.4,1934.0,1943.2] || equal(inverse(u),v) equal(inverse(w),sk_c9) equal(inverse(x),sk_c9) equal(multiply(u,v),sk_c9)** equal(multiply(w,sk_c9),y)* equal(multiply(v,sk_c9),sk_c9)** equal(multiply(x,sk_c9),sk_c9)** equal(multiply(sk_c9,y),sk_c9)** -> .
% 0.43/0.61 1960[3:SpR:1914.0,44.0] || -> equal(multiply(sk_c5,multiply(sk_c6,u)),multiply(sk_c9,u))**.
% 0.43/0.61 1961[3:SpR:1914.0,133.0] || -> equal(multiply(inverse(sk_c5),sk_c9),sk_c6)**.
% 0.43/0.61 1963[3:Rew:1910.0,1961.0] || -> equal(multiply(sk_c6,sk_c9),sk_c6)**.
% 0.43/0.61 1964[3:Rew:1940.0,1963.0] || -> equal(sk_c6,sk_c9)**.
% 0.43/0.61 1968[3:Rew:1964.0,1923.0] || -> equal(multiply(sk_c5,multiply(sk_c9,u)),u)**.
% 0.43/0.61 1970[3:Rew:1968.0,1960.0,1964.0,1960.0] || -> equal(multiply(sk_c9,u),u)**.
% 0.43/0.61 1974[3:Rew:1970.0,1950.7] || equal(inverse(u),v) equal(inverse(w),sk_c9) equal(inverse(x),sk_c9) equal(multiply(u,v),sk_c9)** equal(multiply(w,sk_c9),y)* equal(multiply(v,sk_c9),sk_c9)** equal(multiply(x,sk_c9),sk_c9)** equal(y,sk_c9) -> .
% 0.43/0.61 1976[3:Rew:1970.0,1948.0] || -> equal(multiply(sk_c4,u),u)**.
% 0.43/0.61 2006[3:SpR:1970.0,436.0] || -> equal(identity,sk_c9)**.
% 0.43/0.61 2009[3:Rew:2006.0,436.0] || -> equal(multiply(u,sk_c9),u)**.
% 0.43/0.61 2012[3:Rew:2006.0,43.0] || -> equal(multiply(inverse(u),u),sk_c9)**.
% 0.43/0.61 2016[3:Rew:2009.0,1974.6] || equal(inverse(u),v) equal(inverse(w),sk_c9) equal(inverse(x),sk_c9)** equal(multiply(u,v),sk_c9)** equal(multiply(w,sk_c9),y)* equal(multiply(v,sk_c9),sk_c9)** equal(x,sk_c9) equal(y,sk_c9) -> .
% 0.43/0.61 2017[3:Rew:2009.0,2016.5,2009.0,2016.4] || equal(inverse(u),v) equal(inverse(w),sk_c9)** equal(inverse(x),sk_c9)** equal(multiply(u,v),sk_c9)** equal(w,y)* equal(v,sk_c9) equal(x,sk_c9) equal(y,sk_c9)* -> .
% 0.43/0.61 2039[3:SpR:1936.0,2012.0] || -> equal(multiply(sk_c9,sk_c4),sk_c9)**.
% 0.43/0.61 2045[3:Rew:1970.0,2039.0] || -> equal(sk_c9,sk_c4)**.
% 0.43/0.61 2047[3:Rew:2045.0,1936.0] || -> equal(inverse(sk_c4),sk_c4)**.
% 0.43/0.61 2059[3:Rew:2045.0,2017.1] || equal(inverse(u),v) equal(inverse(w),sk_c4)** equal(inverse(x),sk_c9)** equal(multiply(u,v),sk_c9)** equal(w,y)* equal(v,sk_c9) equal(x,sk_c9) equal(y,sk_c9)* -> .
% 0.43/0.61 2072[3:Rew:2045.0,2059.7,2045.0,2059.6,2045.0,2059.5,2045.0,2059.3,2045.0,2059.2] || equal(inverse(u),v) equal(inverse(w),sk_c4)** equal(inverse(x),sk_c4)** equal(multiply(u,v),sk_c4)**+ equal(w,y)* equal(v,sk_c4) equal(x,sk_c4) equal(y,sk_c4)* -> .
% 0.43/0.61 2131[3:SpL:1976.0,2072.3] || equal(inverse(sk_c4),u)* equal(inverse(v),sk_c4)** equal(inverse(w),sk_c4)** equal(u,sk_c4) equal(v,x)* equal(u,sk_c4) equal(w,sk_c4) equal(x,sk_c4)* -> .
% 0.43/0.61 2132[3:Obv:2131.3] || equal(inverse(sk_c4),u)* equal(inverse(v),sk_c4)** equal(inverse(w),sk_c4)** equal(v,x)* equal(u,sk_c4) equal(w,sk_c4) equal(x,sk_c4)* -> .
% 0.43/0.61 2133[3:Rew:2047.0,2132.0] || equal(sk_c4,u)* equal(inverse(v),sk_c4)** equal(inverse(w),sk_c4)** equal(v,x)* equal(u,sk_c4)* equal(w,sk_c4) equal(x,sk_c4)* -> .
% 0.43/0.61 2134[3:Obv:2133.0] || equal(inverse(u),sk_c4)** equal(inverse(v),sk_c4)** equal(u,w)* equal(x,sk_c4)* equal(v,sk_c4) equal(w,sk_c4)* -> .
% 0.43/0.61 2135[3:Con:2134.3] || equal(inverse(u),sk_c4)**+ equal(inverse(v),sk_c4)** equal(u,w)* equal(v,sk_c4) equal(w,sk_c4)* -> .
% 0.43/0.61 2372[3:SpL:2047.0,2135.0] || equal(sk_c4,sk_c4) equal(inverse(u),sk_c4)** equal(sk_c4,v)* equal(u,sk_c4) equal(v,sk_c4)* -> .
% 0.43/0.61 2376[3:Obv:2372.2] || equal(inverse(u),sk_c4)** equal(u,sk_c4) equal(v,sk_c4)* -> .
% 0.43/0.61 2377[3:Con:2376.2] || equal(inverse(u),sk_c4)** equal(u,sk_c4) -> .
% 0.43/0.61 2434[3:SpL:2047.0,2377.0] || equal(sk_c4,sk_c4)* equal(sk_c4,sk_c4)* -> .
% 0.43/0.61 2438[3:Obv:2434.1] || -> .
% 0.43/0.61 2439[2:Spt:2438.0,12.1,868.0] || equal(inverse(sk_c1),sk_c2)** -> .
% 0.43/0.61 2440[2:Spt:2438.0,12.0] || -> equal(inverse(sk_c5),sk_c6)**.
% 0.43/0.61 2441[2:MRR:16.1,2439.0] || -> equal(inverse(sk_c7),sk_c10)**.
% 0.43/0.61 2442[2:MRR:9.1,2439.0] || -> equal(inverse(sk_c4),sk_c10)**.
% 0.43/0.61 2443[2:MRR:15.0,2439.0] || -> equal(multiply(sk_c7,sk_c10),sk_c8)**.
% 0.43/0.61 2444[2:MRR:14.0,2439.0] || -> equal(multiply(sk_c10,sk_c8),sk_c9)**.
% 0.43/0.61 2445[2:MRR:13.0,2439.0] || -> equal(multiply(sk_c6,sk_c10),sk_c9)**.
% 0.43/0.61 2446[2:MRR:11.0,2439.0] || -> equal(multiply(sk_c5,sk_c6),sk_c9)**.
% 0.43/0.61 2470[2:SpR:2440.0,993.0] || -> equal(multiply(sk_c5,multiply(sk_c6,u)),u)**.
% 0.43/0.61 2476[2:SpR:2442.0,993.0] || -> equal(multiply(sk_c4,multiply(sk_c10,u)),u)**.
% 0.43/0.61 2479[2:SpR:2443.0,133.0] || -> equal(multiply(inverse(sk_c7),sk_c8),sk_c10)**.
% 0.43/0.61 2481[2:Rew:2441.0,2479.0] || -> equal(multiply(sk_c10,sk_c8),sk_c10)**.
% 0.43/0.61 2482[2:Rew:2444.0,2481.0] || -> equal(sk_c10,sk_c9)**.
% 0.43/0.61 2484[2:Rew:2482.0,2442.0] || -> equal(inverse(sk_c4),sk_c9)**.
% 0.43/0.61 2487[2:Rew:2482.0,2445.0] || -> equal(multiply(sk_c6,sk_c9),sk_c9)**.
% 0.43/0.61 2490[2:Rew:2482.0,864.1] || equal(inverse(u),v) equal(inverse(w),sk_c9) equal(inverse(x),sk_c10) equal(multiply(u,v),sk_c9)** equal(multiply(w,sk_c10),y)* equal(multiply(v,sk_c10),sk_c9)** equal(multiply(x,sk_c9),sk_c10)** equal(multiply(sk_c10,y),sk_c9)** -> .
% 0.43/0.61 2494[2:Rew:2482.0,2476.0] || -> equal(multiply(sk_c4,multiply(sk_c9,u)),u)**.
% 0.43/0.61 2497[2:Rew:2482.0,2490.7,2482.0,2490.6,2482.0,2490.5,2482.0,2490.4,2482.0,2490.2] || equal(inverse(u),v) equal(inverse(w),sk_c9) equal(inverse(x),sk_c9) equal(multiply(u,v),sk_c9)** equal(multiply(w,sk_c9),y)* equal(multiply(v,sk_c9),sk_c9)** equal(multiply(x,sk_c9),sk_c9)** equal(multiply(sk_c9,y),sk_c9)** -> .
% 0.43/0.61 2507[2:SpR:2446.0,44.0] || -> equal(multiply(sk_c5,multiply(sk_c6,u)),multiply(sk_c9,u))**.
% 0.43/0.61 2508[2:SpR:2446.0,133.0] || -> equal(multiply(inverse(sk_c5),sk_c9),sk_c6)**.
% 0.43/0.61 2510[2:Rew:2440.0,2508.0] || -> equal(multiply(sk_c6,sk_c9),sk_c6)**.
% 0.43/0.61 2511[2:Rew:2487.0,2510.0] || -> equal(sk_c6,sk_c9)**.
% 0.43/0.61 2515[2:Rew:2511.0,2470.0] || -> equal(multiply(sk_c5,multiply(sk_c9,u)),u)**.
% 0.43/0.61 2517[2:Rew:2515.0,2507.0,2511.0,2507.0] || -> equal(multiply(sk_c9,u),u)**.
% 0.43/0.61 2521[2:Rew:2517.0,2497.7] || equal(inverse(u),v) equal(inverse(w),sk_c9) equal(inverse(x),sk_c9) equal(multiply(u,v),sk_c9)** equal(multiply(w,sk_c9),y)* equal(multiply(v,sk_c9),sk_c9)** equal(multiply(x,sk_c9),sk_c9)** equal(y,sk_c9) -> .
% 0.43/0.61 2524[2:Rew:2517.0,2494.0] || -> equal(multiply(sk_c4,u),u)**.
% 0.43/0.61 2552[2:SpR:2517.0,436.0] || -> equal(identity,sk_c9)**.
% 0.43/0.61 2555[2:Rew:2552.0,436.0] || -> equal(multiply(u,sk_c9),u)**.
% 0.43/0.61 2557[2:Rew:2552.0,43.0] || -> equal(multiply(inverse(u),u),sk_c9)**.
% 0.43/0.61 2561[2:Rew:2555.0,2521.6] || equal(inverse(u),v) equal(inverse(w),sk_c9) equal(inverse(x),sk_c9)** equal(multiply(u,v),sk_c9)** equal(multiply(w,sk_c9),y)* equal(multiply(v,sk_c9),sk_c9)** equal(x,sk_c9) equal(y,sk_c9) -> .
% 0.43/0.61 2562[2:Rew:2555.0,2561.5,2555.0,2561.4] || equal(inverse(u),v) equal(inverse(w),sk_c9)** equal(inverse(x),sk_c9)** equal(multiply(u,v),sk_c9)** equal(w,y)* equal(v,sk_c9) equal(x,sk_c9) equal(y,sk_c9)* -> .
% 0.43/0.61 2577[2:SpR:2484.0,2557.0] || -> equal(multiply(sk_c9,sk_c4),sk_c9)**.
% 0.43/0.61 2583[2:Rew:2517.0,2577.0] || -> equal(sk_c9,sk_c4)**.
% 0.43/0.61 2585[2:Rew:2583.0,2484.0] || -> equal(inverse(sk_c4),sk_c4)**.
% 0.43/0.61 2595[2:Rew:2583.0,2562.1] || equal(inverse(u),v) equal(inverse(w),sk_c4)** equal(inverse(x),sk_c9)** equal(multiply(u,v),sk_c9)** equal(w,y)* equal(v,sk_c9) equal(x,sk_c9) equal(y,sk_c9)* -> .
% 0.46/0.63 2607[2:Rew:2583.0,2595.7,2583.0,2595.6,2583.0,2595.5,2583.0,2595.3,2583.0,2595.2] || equal(inverse(u),v) equal(inverse(w),sk_c4)** equal(inverse(x),sk_c4)** equal(multiply(u,v),sk_c4)**+ equal(w,y)* equal(v,sk_c4) equal(x,sk_c4) equal(y,sk_c4)* -> .
% 0.46/0.63 2707[2:SpL:2524.0,2607.3] || equal(inverse(sk_c4),u)* equal(inverse(v),sk_c4)** equal(inverse(w),sk_c4)** equal(u,sk_c4) equal(v,x)* equal(u,sk_c4) equal(w,sk_c4) equal(x,sk_c4)* -> .
% 0.46/0.63 2708[2:Obv:2707.3] || equal(inverse(sk_c4),u)* equal(inverse(v),sk_c4)** equal(inverse(w),sk_c4)** equal(v,x)* equal(u,sk_c4) equal(w,sk_c4) equal(x,sk_c4)* -> .
% 0.46/0.63 2709[2:Rew:2585.0,2708.0] || equal(sk_c4,u)* equal(inverse(v),sk_c4)** equal(inverse(w),sk_c4)** equal(v,x)* equal(u,sk_c4)* equal(w,sk_c4) equal(x,sk_c4)* -> .
% 0.46/0.63 2710[2:Obv:2709.0] || equal(inverse(u),sk_c4)** equal(inverse(v),sk_c4)** equal(u,w)* equal(x,sk_c4)* equal(v,sk_c4) equal(w,sk_c4)* -> .
% 0.46/0.63 2711[2:Con:2710.3] || equal(inverse(u),sk_c4)**+ equal(inverse(v),sk_c4)** equal(u,w)* equal(v,sk_c4) equal(w,sk_c4)* -> .
% 0.46/0.63 3145[2:SpL:2585.0,2711.0] || equal(sk_c4,sk_c4) equal(inverse(u),sk_c4)** equal(sk_c4,v)* equal(u,sk_c4) equal(v,sk_c4)* -> .
% 0.46/0.63 3149[2:Obv:3145.2] || equal(inverse(u),sk_c4)** equal(u,sk_c4) equal(v,sk_c4)* -> .
% 0.46/0.63 3150[2:Con:3149.2] || equal(inverse(u),sk_c4)** equal(u,sk_c4) -> .
% 0.46/0.63 3151[2:SpL:2585.0,3150.0] || equal(sk_c4,sk_c4)* equal(sk_c4,sk_c4)* -> .
% 0.46/0.63 3155[2:Obv:3151.1] || -> .
% 0.46/0.63 % SZS output end Refutation
% 0.46/0.63 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_11 prove_this_12 prove_this_13 prove_this_14 prove_this_15 prove_this_16 prove_this_17 prove_this_18 prove_this_19 prove_this_20 prove_this_21 prove_this_22 prove_this_23 prove_this_24 prove_this_25 prove_this_26 prove_this_27 prove_this_28 prove_this_29 prove_this_30 prove_this_31 prove_this_32 prove_this_33 prove_this_34 prove_this_35 prove_this_36 prove_this_37 prove_this_38 prove_this_39 prove_this_40 prove_this_41 left_identity left_inverse associativity
% 0.46/0.63
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