TSTP Solution File: GRP209-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GRP209-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n008.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 0.40s 0.57s
% Output : Refutation 0.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP209-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n008.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 07:05:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.40/0.57
% 0.40/0.57 SPASS V 3.9
% 0.40/0.57 SPASS beiseite: Proof found.
% 0.40/0.57 % SZS status Theorem
% 0.40/0.57 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.40/0.57 SPASS derived 1941 clauses, backtracked 534 clauses, performed 13 splits and kept 1118 clauses.
% 0.40/0.57 SPASS allocated 64665 KBytes.
% 0.40/0.57 SPASS spent 0:00:00.22 on the problem.
% 0.40/0.57 0:00:00.04 for the input.
% 0.40/0.57 0:00:00.00 for the FLOTTER CNF translation.
% 0.40/0.57 0:00:00.01 for inferences.
% 0.40/0.57 0:00:00.00 for the backtracking.
% 0.40/0.57 0:00:00.14 for the reduction.
% 0.40/0.57
% 0.40/0.57
% 0.40/0.57 Here is a proof with depth 5, length 520 :
% 0.40/0.57 % SZS output start Refutation
% 0.40/0.57 2[0:Inp] || -> equal(multiply(sk_c5,sk_c9),sk_c10)** equal(multiply(sk_c1,sk_c2),sk_c10).
% 0.40/0.57 3[0:Inp] || -> equal(multiply(sk_c6,sk_c9),sk_c10)** equal(multiply(sk_c1,sk_c2),sk_c10).
% 0.40/0.57 4[0:Inp] || -> equal(inverse(sk_c6),sk_c9) equal(multiply(sk_c1,sk_c2),sk_c10)**.
% 0.40/0.57 5[0:Inp] || -> equal(multiply(sk_c7,sk_c8),sk_c9)** equal(multiply(sk_c1,sk_c2),sk_c10).
% 0.40/0.57 6[0:Inp] || -> equal(inverse(sk_c7),sk_c8) equal(multiply(sk_c1,sk_c2),sk_c10)**.
% 0.40/0.57 7[0:Inp] || -> equal(multiply(sk_c8,sk_c10),sk_c9)** equal(multiply(sk_c1,sk_c2),sk_c10).
% 0.40/0.57 8[0:Inp] || -> equal(inverse(sk_c5),sk_c10)** equal(inverse(sk_c1),sk_c2).
% 0.40/0.57 9[0:Inp] || -> equal(inverse(sk_c1),sk_c2) equal(multiply(sk_c5,sk_c9),sk_c10)**.
% 0.40/0.57 10[0:Inp] || -> equal(inverse(sk_c1),sk_c2) equal(multiply(sk_c6,sk_c9),sk_c10)**.
% 0.40/0.57 11[0:Inp] || -> equal(inverse(sk_c6),sk_c9)** equal(inverse(sk_c1),sk_c2).
% 0.40/0.57 12[0:Inp] || -> equal(inverse(sk_c1),sk_c2) equal(multiply(sk_c7,sk_c8),sk_c9)**.
% 0.40/0.57 13[0:Inp] || -> equal(inverse(sk_c7),sk_c8)** equal(inverse(sk_c1),sk_c2).
% 0.40/0.57 14[0:Inp] || -> equal(inverse(sk_c1),sk_c2) equal(multiply(sk_c8,sk_c10),sk_c9)**.
% 0.40/0.57 15[0:Inp] || -> equal(inverse(sk_c5),sk_c10) equal(multiply(sk_c2,sk_c9),sk_c10)**.
% 0.40/0.57 16[0:Inp] || -> equal(multiply(sk_c5,sk_c9),sk_c10)** equal(multiply(sk_c2,sk_c9),sk_c10).
% 0.40/0.57 17[0:Inp] || -> equal(multiply(sk_c6,sk_c9),sk_c10)** equal(multiply(sk_c2,sk_c9),sk_c10).
% 0.40/0.57 18[0:Inp] || -> equal(inverse(sk_c6),sk_c9) equal(multiply(sk_c2,sk_c9),sk_c10)**.
% 0.40/0.57 19[0:Inp] || -> equal(multiply(sk_c7,sk_c8),sk_c9)** equal(multiply(sk_c2,sk_c9),sk_c10).
% 0.40/0.57 20[0:Inp] || -> equal(inverse(sk_c7),sk_c8) equal(multiply(sk_c2,sk_c9),sk_c10)**.
% 0.40/0.57 21[0:Inp] || -> equal(multiply(sk_c8,sk_c10),sk_c9)** equal(multiply(sk_c2,sk_c9),sk_c10).
% 0.40/0.57 22[0:Inp] || -> equal(inverse(sk_c5),sk_c10) equal(multiply(sk_c10,sk_c4),sk_c9)**.
% 0.40/0.57 23[0:Inp] || -> equal(multiply(sk_c5,sk_c9),sk_c10) equal(multiply(sk_c10,sk_c4),sk_c9)**.
% 0.40/0.57 24[0:Inp] || -> equal(multiply(sk_c6,sk_c9),sk_c10) equal(multiply(sk_c10,sk_c4),sk_c9)**.
% 0.40/0.57 25[0:Inp] || -> equal(inverse(sk_c6),sk_c9) equal(multiply(sk_c10,sk_c4),sk_c9)**.
% 0.40/0.57 26[0:Inp] || -> equal(multiply(sk_c7,sk_c8),sk_c9) equal(multiply(sk_c10,sk_c4),sk_c9)**.
% 0.40/0.57 27[0:Inp] || -> equal(inverse(sk_c7),sk_c8) equal(multiply(sk_c10,sk_c4),sk_c9)**.
% 0.40/0.57 28[0:Inp] || -> equal(multiply(sk_c8,sk_c10),sk_c9) equal(multiply(sk_c10,sk_c4),sk_c9)**.
% 0.40/0.57 29[0:Inp] || -> equal(inverse(sk_c5),sk_c10) equal(multiply(sk_c3,sk_c10),sk_c4)**.
% 0.40/0.57 30[0:Inp] || -> equal(multiply(sk_c5,sk_c9),sk_c10) equal(multiply(sk_c3,sk_c10),sk_c4)**.
% 0.40/0.57 31[0:Inp] || -> equal(multiply(sk_c6,sk_c9),sk_c10) equal(multiply(sk_c3,sk_c10),sk_c4)**.
% 0.40/0.57 32[0:Inp] || -> equal(inverse(sk_c6),sk_c9) equal(multiply(sk_c3,sk_c10),sk_c4)**.
% 0.40/0.57 33[0:Inp] || -> equal(multiply(sk_c7,sk_c8),sk_c9) equal(multiply(sk_c3,sk_c10),sk_c4)**.
% 0.40/0.57 34[0:Inp] || -> equal(inverse(sk_c7),sk_c8) equal(multiply(sk_c3,sk_c10),sk_c4)**.
% 0.40/0.57 35[0:Inp] || -> equal(multiply(sk_c8,sk_c10),sk_c9) equal(multiply(sk_c3,sk_c10),sk_c4)**.
% 0.40/0.57 36[0:Inp] || -> equal(inverse(sk_c5),sk_c10) equal(inverse(sk_c3),sk_c10)**.
% 0.40/0.57 37[0:Inp] || -> equal(inverse(sk_c3),sk_c10) equal(multiply(sk_c5,sk_c9),sk_c10)**.
% 0.40/0.57 38[0:Inp] || -> equal(inverse(sk_c3),sk_c10) equal(multiply(sk_c6,sk_c9),sk_c10)**.
% 0.40/0.57 39[0:Inp] || -> equal(inverse(sk_c6),sk_c9) equal(inverse(sk_c3),sk_c10)**.
% 0.40/0.57 40[0:Inp] || -> equal(inverse(sk_c3),sk_c10) equal(multiply(sk_c7,sk_c8),sk_c9)**.
% 0.40/0.57 41[0:Inp] || -> equal(inverse(sk_c7),sk_c8) equal(inverse(sk_c3),sk_c10)**.
% 0.40/0.57 42[0:Inp] || -> equal(inverse(sk_c3),sk_c10) equal(multiply(sk_c8,sk_c10),sk_c9)**.
% 0.40/0.57 43[0:Inp] || equal(inverse(u),v) equal(inverse(w),x) equal(inverse(y),sk_c9) equal(inverse(z),sk_c10) equal(inverse(x1),sk_c10) equal(multiply(u,v),sk_c9)**+ equal(multiply(w,x),sk_c10)** equal(multiply(x1,sk_c10),x2)* equal(multiply(v,sk_c10),sk_c9)** equal(multiply(y,sk_c9),sk_c10)** equal(multiply(z,sk_c9),sk_c10)** equal(multiply(x,sk_c9),sk_c10)** equal(multiply(sk_c10,x2),sk_c9)** -> .
% 0.40/0.57 44[0:Inp] || -> equal(multiply(identity,u),u)**.
% 0.40/0.57 45[0:Inp] || -> equal(multiply(inverse(u),u),identity)**.
% 0.40/0.57 46[0:Inp] || -> equal(multiply(multiply(u,v),w),multiply(u,multiply(v,w)))**.
% 0.40/0.57 47[1:Spt:43.1,43.6,43.11] || equal(inverse(u),v) equal(multiply(u,v),sk_c10)**+ equal(multiply(v,sk_c9),sk_c10)** -> .
% 0.40/0.57 48[2:Spt:41.1] || -> equal(inverse(sk_c3),sk_c10)**.
% 0.40/0.57 50[3:Spt:13.1] || -> equal(inverse(sk_c1),sk_c2)**.
% 0.40/0.57 52[4:Spt:34.1] || -> equal(multiply(sk_c3,sk_c10),sk_c4)**.
% 0.40/0.57 57[5:Spt:27.1] || -> equal(multiply(sk_c10,sk_c4),sk_c9)**.
% 0.40/0.57 61[1:SpL:44.0,47.1] || equal(inverse(identity),u) equal(u,sk_c10) equal(multiply(u,sk_c9),sk_c10)** -> .
% 0.40/0.57 62[6:Spt:20.1] || -> equal(multiply(sk_c2,sk_c9),sk_c10)**.
% 0.40/0.57 66[7:Spt:6.1] || -> equal(multiply(sk_c1,sk_c2),sk_c10)**.
% 0.40/0.57 68[7:SpL:66.0,47.1] || equal(inverse(sk_c1),sk_c2) equal(sk_c10,sk_c10) equal(multiply(sk_c2,sk_c9),sk_c10)** -> .
% 0.40/0.57 69[7:Obv:68.1] || equal(inverse(sk_c1),sk_c2) equal(multiply(sk_c2,sk_c9),sk_c10)** -> .
% 0.40/0.57 70[7:Rew:62.0,69.1,50.0,69.0] || equal(sk_c2,sk_c2) equal(sk_c10,sk_c10)* -> .
% 0.40/0.57 71[7:Obv:70.1] || -> .
% 0.40/0.57 72[7:Spt:71.0,6.1,66.0] || equal(multiply(sk_c1,sk_c2),sk_c10)** -> .
% 0.40/0.57 73[7:Spt:71.0,6.0] || -> equal(inverse(sk_c7),sk_c8)**.
% 0.40/0.57 76[7:MRR:7.1,72.0] || -> equal(multiply(sk_c8,sk_c10),sk_c9)**.
% 0.40/0.57 77[7:MRR:5.1,72.0] || -> equal(multiply(sk_c7,sk_c8),sk_c9)**.
% 0.40/0.57 86[7:SpL:77.0,47.1] || equal(inverse(sk_c7),sk_c8) equal(sk_c10,sk_c9) equal(multiply(sk_c8,sk_c9),sk_c10)** -> .
% 0.40/0.57 87[7:Rew:73.0,86.0] || equal(sk_c8,sk_c8) equal(sk_c10,sk_c9) equal(multiply(sk_c8,sk_c9),sk_c10)** -> .
% 0.40/0.57 88[7:Obv:87.0] || equal(sk_c10,sk_c9) equal(multiply(sk_c8,sk_c9),sk_c10)** -> .
% 0.40/0.57 98[2:SpR:48.0,45.0] || -> equal(multiply(sk_c10,sk_c3),identity)**.
% 0.40/0.57 122[2:SpR:98.0,46.0] || -> equal(multiply(sk_c10,multiply(sk_c3,u)),multiply(identity,u))**.
% 0.40/0.57 124[0:SpR:45.0,46.0] || -> equal(multiply(inverse(u),multiply(u,v)),multiply(identity,v))**.
% 0.40/0.57 130[2:Rew:44.0,122.0] || -> equal(multiply(sk_c10,multiply(sk_c3,u)),u)**.
% 0.40/0.57 134[0:Rew:44.0,124.0] || -> equal(multiply(inverse(u),multiply(u,v)),v)**.
% 0.40/0.57 144[4:SpR:52.0,130.0] || -> equal(multiply(sk_c10,sk_c4),sk_c10)**.
% 0.40/0.57 145[2:SpL:130.0,47.1] || equal(multiply(sk_c3,u),inverse(sk_c10)) equal(u,sk_c10) equal(multiply(multiply(sk_c3,u),sk_c9),sk_c10)** -> .
% 0.40/0.57 146[5:Rew:57.0,144.0] || -> equal(sk_c10,sk_c9)**.
% 0.40/0.57 149[5:Rew:146.0,52.0] || -> equal(multiply(sk_c3,sk_c9),sk_c4)**.
% 0.40/0.57 150[5:Rew:146.0,57.0] || -> equal(multiply(sk_c9,sk_c4),sk_c9)**.
% 0.40/0.57 153[7:Rew:146.0,76.0] || -> equal(multiply(sk_c8,sk_c9),sk_c9)**.
% 0.40/0.57 158[5:Rew:146.0,98.0] || -> equal(multiply(sk_c9,sk_c3),identity)**.
% 0.40/0.57 166[7:Rew:146.0,88.0] || equal(sk_c9,sk_c9) equal(multiply(sk_c8,sk_c9),sk_c10)** -> .
% 0.40/0.57 182[7:Obv:166.0] || equal(multiply(sk_c8,sk_c9),sk_c10)** -> .
% 0.40/0.57 183[7:Rew:153.0,182.0,146.0,182.0] || equal(sk_c9,sk_c9)* -> .
% 0.40/0.57 184[7:Obv:183.0] || -> .
% 0.40/0.57 195[2:Rew:46.0,145.2] || equal(multiply(sk_c3,u),inverse(sk_c10)) equal(u,sk_c10) equal(multiply(sk_c3,multiply(u,sk_c9)),sk_c10)** -> .
% 0.40/0.57 196[5:Rew:146.0,195.2,146.0,195.1,146.0,195.0] || equal(multiply(sk_c3,u),inverse(sk_c9)) equal(u,sk_c9) equal(multiply(sk_c3,multiply(u,sk_c9)),sk_c9)** -> .
% 0.40/0.57 198[6:Spt:184.0,20.1,62.0] || equal(multiply(sk_c2,sk_c9),sk_c10)** -> .
% 0.40/0.57 199[6:Spt:184.0,20.0] || -> equal(inverse(sk_c7),sk_c8)**.
% 0.40/0.57 200[6:Rew:146.0,198.0] || equal(multiply(sk_c2,sk_c9),sk_c9)** -> .
% 0.40/0.57 203[5:Rew:146.0,18.1] || -> equal(inverse(sk_c6),sk_c9) equal(multiply(sk_c2,sk_c9),sk_c9)**.
% 0.40/0.57 204[6:MRR:203.1,200.0] || -> equal(inverse(sk_c6),sk_c9)**.
% 0.40/0.57 205[5:Rew:146.0,15.1,146.0,15.0] || -> equal(inverse(sk_c5),sk_c9) equal(multiply(sk_c2,sk_c9),sk_c9)**.
% 0.40/0.57 206[6:MRR:205.1,200.0] || -> equal(inverse(sk_c5),sk_c9)**.
% 0.40/0.57 215[5:Rew:146.0,17.1,146.0,17.0] || -> equal(multiply(sk_c6,sk_c9),sk_c9)** equal(multiply(sk_c2,sk_c9),sk_c9).
% 0.40/0.57 216[6:MRR:215.1,200.0] || -> equal(multiply(sk_c6,sk_c9),sk_c9)**.
% 0.40/0.57 224[6:SpR:204.0,45.0] || -> equal(multiply(sk_c9,sk_c6),identity)**.
% 0.40/0.57 226[6:SpR:206.0,45.0] || -> equal(multiply(sk_c9,sk_c5),identity)**.
% 0.40/0.57 249[6:SpR:226.0,46.0] || -> equal(multiply(sk_c9,multiply(sk_c5,u)),multiply(identity,u))**.
% 0.40/0.57 251[6:Rew:44.0,249.0] || -> equal(multiply(sk_c9,multiply(sk_c5,u)),u)**.
% 0.40/0.57 260[0:SpR:134.0,134.0] || -> equal(multiply(inverse(inverse(u)),v),multiply(u,v))**.
% 0.40/0.57 263[0:SpR:45.0,134.0] || -> equal(multiply(inverse(inverse(u)),identity),u)**.
% 0.40/0.57 271[5:SpR:150.0,134.0] || -> equal(multiply(inverse(sk_c9),sk_c9),sk_c4)**.
% 0.40/0.57 272[5:SpR:158.0,134.0] || -> equal(multiply(inverse(sk_c9),identity),sk_c3)**.
% 0.40/0.57 273[6:SpR:224.0,134.0] || -> equal(multiply(inverse(sk_c9),identity),sk_c6)**.
% 0.40/0.57 287[5:Rew:45.0,271.0] || -> equal(identity,sk_c4)**.
% 0.40/0.57 288[5:Rew:287.0,44.0] || -> equal(multiply(sk_c4,u),u)**.
% 0.40/0.57 291[5:Rew:287.0,158.0] || -> equal(multiply(sk_c9,sk_c3),sk_c4)**.
% 0.40/0.57 294[6:Rew:287.0,226.0] || -> equal(multiply(sk_c9,sk_c5),sk_c4)**.
% 0.40/0.57 304[5:Rew:287.0,272.0] || -> equal(multiply(inverse(sk_c9),sk_c4),sk_c3)**.
% 0.40/0.57 305[6:Rew:304.0,273.0,287.0,273.0] || -> equal(sk_c3,sk_c6)**.
% 0.40/0.57 307[6:Rew:305.0,149.0] || -> equal(multiply(sk_c6,sk_c9),sk_c4)**.
% 0.40/0.57 309[6:Rew:305.0,196.0] || equal(multiply(sk_c6,u),inverse(sk_c9)) equal(u,sk_c9) equal(multiply(sk_c3,multiply(u,sk_c9)),sk_c9)** -> .
% 0.40/0.57 310[6:Rew:305.0,291.0] || -> equal(multiply(sk_c9,sk_c6),sk_c4)**.
% 0.40/0.57 312[6:Rew:216.0,307.0] || -> equal(sk_c4,sk_c9)**.
% 0.40/0.57 314[6:Rew:312.0,287.0] || -> equal(identity,sk_c9)**.
% 0.40/0.57 315[6:Rew:312.0,288.0] || -> equal(multiply(sk_c9,u),u)**.
% 0.40/0.57 319[6:Rew:312.0,294.0] || -> equal(multiply(sk_c9,sk_c5),sk_c9)**.
% 0.40/0.57 320[6:Rew:312.0,310.0] || -> equal(multiply(sk_c9,sk_c6),sk_c9)**.
% 0.40/0.57 321[6:Rew:315.0,320.0] || -> equal(sk_c6,sk_c9)**.
% 0.40/0.57 322[6:Rew:315.0,251.0] || -> equal(multiply(sk_c5,u),u)**.
% 0.40/0.57 330[6:Rew:321.0,305.0] || -> equal(sk_c3,sk_c9)**.
% 0.40/0.57 332[6:Rew:315.0,319.0] || -> equal(sk_c9,sk_c5)**.
% 0.40/0.57 334[6:Rew:332.0,206.0] || -> equal(inverse(sk_c5),sk_c5)**.
% 0.40/0.57 343[6:Rew:332.0,314.0] || -> equal(identity,sk_c5)**.
% 0.40/0.57 345[6:Rew:332.0,321.0] || -> equal(sk_c6,sk_c5)**.
% 0.40/0.57 346[6:Rew:332.0,330.0] || -> equal(sk_c3,sk_c5)**.
% 0.40/0.57 369[6:Rew:343.0,263.0] || -> equal(multiply(inverse(inverse(u)),sk_c5),u)**.
% 0.40/0.57 382[6:Rew:260.0,369.0] || -> equal(multiply(u,sk_c5),u)**.
% 0.40/0.57 399[6:Rew:322.0,309.2,346.0,309.2,382.0,309.2,332.0,309.2,332.0,309.1,322.0,309.0,345.0,309.0,334.0,309.0,332.0,309.0] || equal(u,sk_c5)* equal(u,sk_c5)* equal(u,sk_c5)* -> .
% 0.40/0.57 400[6:Obv:399.1] || equal(u,sk_c5)* -> .
% 0.40/0.57 401[6:UnC:400.0,134.0] || -> .
% 0.40/0.57 403[5:Spt:401.0,27.1,57.0] || equal(multiply(sk_c10,sk_c4),sk_c9)** -> .
% 0.40/0.57 404[5:Spt:401.0,27.0] || -> equal(inverse(sk_c7),sk_c8)**.
% 0.40/0.57 406[5:Rew:144.0,403.0] || equal(sk_c10,sk_c9)** -> .
% 0.40/0.57 407[0:Rew:260.0,263.0] || -> equal(multiply(u,identity),u)**.
% 0.40/0.57 408[4:Rew:144.0,25.1] || -> equal(inverse(sk_c6),sk_c9)** equal(sk_c10,sk_c9).
% 0.40/0.57 409[5:MRR:408.1,406.0] || -> equal(inverse(sk_c6),sk_c9)**.
% 0.40/0.57 410[4:Rew:144.0,22.1] || -> equal(inverse(sk_c5),sk_c10)** equal(sk_c10,sk_c9).
% 0.40/0.57 411[5:MRR:410.1,406.0] || -> equal(inverse(sk_c5),sk_c10)**.
% 0.40/0.57 414[4:Rew:144.0,26.1] || -> equal(multiply(sk_c7,sk_c8),sk_c9)** equal(sk_c10,sk_c9).
% 0.40/0.57 415[5:MRR:414.1,406.0] || -> equal(multiply(sk_c7,sk_c8),sk_c9)**.
% 0.40/0.57 416[4:Rew:144.0,24.1] || -> equal(multiply(sk_c6,sk_c9),sk_c10)** equal(sk_c10,sk_c9).
% 0.40/0.57 417[5:MRR:416.1,406.0] || -> equal(multiply(sk_c6,sk_c9),sk_c10)**.
% 0.40/0.57 418[4:Rew:144.0,23.1] || -> equal(multiply(sk_c5,sk_c9),sk_c10)** equal(sk_c10,sk_c9).
% 0.40/0.57 419[5:MRR:418.1,406.0] || -> equal(multiply(sk_c5,sk_c9),sk_c10)**.
% 0.40/0.57 426[5:SpR:409.0,134.0] || -> equal(multiply(sk_c9,multiply(sk_c6,u)),u)**.
% 0.40/0.57 434[4:SpR:144.0,134.0] || -> equal(multiply(inverse(sk_c10),sk_c10),sk_c4)**.
% 0.40/0.57 436[4:Rew:45.0,434.0] || -> equal(identity,sk_c4)**.
% 0.40/0.57 437[4:Rew:436.0,98.0] || -> equal(multiply(sk_c10,sk_c3),sk_c4)**.
% 0.40/0.57 439[4:Rew:436.0,44.0] || -> equal(multiply(sk_c4,u),u)**.
% 0.40/0.57 440[4:Rew:436.0,45.0] || -> equal(multiply(inverse(u),u),sk_c4)**.
% 0.40/0.57 443[4:Rew:436.0,407.0] || -> equal(multiply(u,sk_c4),u)**.
% 0.40/0.57 456[5:SpR:415.0,134.0] || -> equal(multiply(inverse(sk_c7),sk_c9),sk_c8)**.
% 0.40/0.57 458[5:Rew:404.0,456.0] || -> equal(multiply(sk_c8,sk_c9),sk_c8)**.
% 0.40/0.57 468[4:SpR:437.0,134.0] || -> equal(multiply(inverse(sk_c10),sk_c4),sk_c3)**.
% 0.40/0.57 470[4:Rew:443.0,468.0] || -> equal(inverse(sk_c10),sk_c3)**.
% 0.40/0.57 471[4:Rew:470.0,195.0] || equal(multiply(sk_c3,u),sk_c3) equal(u,sk_c10) equal(multiply(sk_c3,multiply(u,sk_c9)),sk_c10)** -> .
% 0.40/0.57 491[5:SpR:458.0,134.0] || -> equal(multiply(inverse(sk_c8),sk_c8),sk_c9)**.
% 0.40/0.57 493[5:Rew:440.0,491.0] || -> equal(sk_c4,sk_c9)**.
% 0.40/0.57 498[5:Rew:493.0,439.0] || -> equal(multiply(sk_c9,u),u)**.
% 0.40/0.57 503[5:Rew:493.0,443.0] || -> equal(multiply(u,sk_c9),u)**.
% 0.40/0.57 508[5:Rew:498.0,426.0] || -> equal(multiply(sk_c6,u),u)**.
% 0.40/0.57 514[5:Rew:503.0,419.0] || -> equal(sk_c10,sk_c5)**.
% 0.40/0.57 515[5:Rew:503.0,417.0] || -> equal(sk_c10,sk_c6)**.
% 0.40/0.57 519[5:Rew:503.0,471.2] || equal(multiply(sk_c3,u),sk_c3) equal(u,sk_c10) equal(multiply(sk_c3,u),sk_c10)** -> .
% 0.40/0.57 522[5:Rew:514.0,411.0] || -> equal(inverse(sk_c5),sk_c5)**.
% 0.40/0.57 524[5:Rew:514.0,470.0] || -> equal(inverse(sk_c5),sk_c3)**.
% 0.40/0.57 531[5:Rew:514.0,515.0] || -> equal(sk_c6,sk_c5)**.
% 0.40/0.57 534[5:Rew:522.0,524.0] || -> equal(sk_c3,sk_c5)**.
% 0.40/0.57 538[5:Rew:531.0,508.0] || -> equal(multiply(sk_c5,u),u)**.
% 0.40/0.57 571[5:Rew:538.0,519.2,534.0,519.2,514.0,519.2,514.0,519.1,538.0,519.0,534.0,519.0] || equal(u,sk_c5)* equal(u,sk_c5)* equal(u,sk_c5)* -> .
% 0.40/0.57 572[5:Obv:571.1] || equal(u,sk_c5)* -> .
% 0.40/0.57 573[5:UnC:572.0,134.0] || -> .
% 0.40/0.57 575[4:Spt:573.0,34.1,52.0] || equal(multiply(sk_c3,sk_c10),sk_c4)** -> .
% 0.40/0.57 576[4:Spt:573.0,34.0] || -> equal(inverse(sk_c7),sk_c8)**.
% 0.40/0.57 577[4:MRR:32.1,575.0] || -> equal(inverse(sk_c6),sk_c9)**.
% 0.40/0.57 578[4:MRR:29.1,575.0] || -> equal(inverse(sk_c5),sk_c10)**.
% 0.40/0.57 580[4:MRR:33.1,575.0] || -> equal(multiply(sk_c7,sk_c8),sk_c9)**.
% 0.40/0.57 581[4:MRR:31.1,575.0] || -> equal(multiply(sk_c6,sk_c9),sk_c10)**.
% 0.40/0.57 582[4:MRR:30.1,575.0] || -> equal(multiply(sk_c5,sk_c9),sk_c10)**.
% 0.40/0.57 597[2:SpR:98.0,134.0] || -> equal(multiply(inverse(sk_c10),identity),sk_c3)**.
% 0.40/0.57 599[2:Rew:407.0,597.0] || -> equal(inverse(sk_c10),sk_c3)**.
% 0.40/0.57 601[2:Rew:599.0,195.0] || equal(multiply(sk_c3,u),sk_c3) equal(u,sk_c10) equal(multiply(sk_c3,multiply(u,sk_c9)),sk_c10)** -> .
% 0.40/0.57 610[4:SpR:580.0,134.0] || -> equal(multiply(inverse(sk_c7),sk_c9),sk_c8)**.
% 0.40/0.57 612[4:Rew:576.0,610.0] || -> equal(multiply(sk_c8,sk_c9),sk_c8)**.
% 0.40/0.57 622[4:SpR:612.0,134.0] || -> equal(multiply(inverse(sk_c8),sk_c8),sk_c9)**.
% 0.40/0.57 624[4:Rew:45.0,622.0] || -> equal(identity,sk_c9)**.
% 0.40/0.57 627[4:Rew:624.0,407.0] || -> equal(multiply(u,sk_c9),u)**.
% 0.40/0.57 628[4:Rew:624.0,44.0] || -> equal(multiply(sk_c9,u),u)**.
% 0.40/0.57 635[4:Rew:627.0,582.0] || -> equal(sk_c10,sk_c5)**.
% 0.40/0.57 636[4:Rew:627.0,581.0] || -> equal(sk_c10,sk_c6)**.
% 0.40/0.57 640[4:Rew:627.0,601.2] || equal(multiply(sk_c3,u),sk_c3) equal(u,sk_c10) equal(multiply(sk_c3,u),sk_c10)** -> .
% 0.40/0.57 642[4:Rew:635.0,578.0] || -> equal(inverse(sk_c5),sk_c5)**.
% 0.40/0.57 643[4:Rew:635.0,599.0] || -> equal(inverse(sk_c5),sk_c3)**.
% 0.40/0.57 655[4:Rew:635.0,636.0] || -> equal(sk_c6,sk_c5)**.
% 0.40/0.57 656[4:Rew:655.0,577.0] || -> equal(inverse(sk_c5),sk_c9)**.
% 0.40/0.57 659[4:Rew:642.0,643.0] || -> equal(sk_c3,sk_c5)**.
% 0.40/0.57 661[4:Rew:642.0,656.0] || -> equal(sk_c9,sk_c5)**.
% 0.40/0.57 667[4:Rew:661.0,628.0] || -> equal(multiply(sk_c5,u),u)**.
% 0.40/0.57 702[4:Rew:667.0,640.2,659.0,640.2,635.0,640.2,635.0,640.1,667.0,640.0,659.0,640.0] || equal(u,sk_c5)* equal(u,sk_c5)* equal(u,sk_c5)* -> .
% 0.40/0.57 703[4:Obv:702.1] || equal(u,sk_c5)* -> .
% 0.40/0.57 704[4:UnC:703.0,134.0] || -> .
% 0.40/0.57 706[3:Spt:704.0,13.1,50.0] || equal(inverse(sk_c1),sk_c2)** -> .
% 0.40/0.57 707[3:Spt:704.0,13.0] || -> equal(inverse(sk_c7),sk_c8)**.
% 0.40/0.57 708[3:MRR:11.1,706.0] || -> equal(inverse(sk_c6),sk_c9)**.
% 0.40/0.57 709[3:MRR:8.1,706.0] || -> equal(inverse(sk_c5),sk_c10)**.
% 0.40/0.57 711[3:MRR:12.0,706.0] || -> equal(multiply(sk_c7,sk_c8),sk_c9)**.
% 0.40/0.57 712[3:MRR:10.0,706.0] || -> equal(multiply(sk_c6,sk_c9),sk_c10)**.
% 0.40/0.57 713[3:MRR:9.0,706.0] || -> equal(multiply(sk_c5,sk_c9),sk_c10)**.
% 0.40/0.57 733[3:SpR:711.0,134.0] || -> equal(multiply(inverse(sk_c7),sk_c9),sk_c8)**.
% 0.40/0.57 735[3:Rew:707.0,733.0] || -> equal(multiply(sk_c8,sk_c9),sk_c8)**.
% 0.40/0.57 737[3:SpR:712.0,134.0] || -> equal(multiply(inverse(sk_c6),sk_c10),sk_c9)**.
% 0.40/0.57 739[3:Rew:708.0,737.0] || -> equal(multiply(sk_c9,sk_c10),sk_c9)**.
% 0.40/0.57 745[3:SpR:735.0,134.0] || -> equal(multiply(inverse(sk_c8),sk_c8),sk_c9)**.
% 0.40/0.57 747[3:Rew:45.0,745.0] || -> equal(identity,sk_c9)**.
% 0.40/0.57 749[3:Rew:747.0,44.0] || -> equal(multiply(sk_c9,u),u)**.
% 0.40/0.57 750[3:Rew:747.0,407.0] || -> equal(multiply(u,sk_c9),u)**.
% 0.40/0.57 756[3:Rew:749.0,739.0] || -> equal(sk_c10,sk_c9)**.
% 0.40/0.57 762[3:Rew:756.0,599.0] || -> equal(inverse(sk_c9),sk_c3)**.
% 0.40/0.57 764[3:Rew:756.0,709.0] || -> equal(inverse(sk_c5),sk_c9)**.
% 0.40/0.57 767[3:Rew:756.0,713.0] || -> equal(multiply(sk_c5,sk_c9),sk_c9)**.
% 0.40/0.57 770[3:Rew:756.0,601.1] || equal(multiply(sk_c3,u),sk_c3) equal(u,sk_c9) equal(multiply(sk_c3,multiply(u,sk_c9)),sk_c10)** -> .
% 0.40/0.57 781[3:Rew:750.0,767.0] || -> equal(sk_c9,sk_c5)**.
% 0.40/0.57 784[3:Rew:781.0,749.0] || -> equal(multiply(sk_c5,u),u)**.
% 0.40/0.57 785[3:Rew:781.0,756.0] || -> equal(sk_c10,sk_c5)**.
% 0.40/0.57 786[3:Rew:781.0,762.0] || -> equal(inverse(sk_c5),sk_c3)**.
% 0.40/0.57 788[3:Rew:781.0,764.0] || -> equal(inverse(sk_c5),sk_c5)**.
% 0.40/0.57 789[3:Rew:781.0,750.0] || -> equal(multiply(u,sk_c5),u)**.
% 0.40/0.57 792[3:Rew:786.0,788.0] || -> equal(sk_c3,sk_c5)**.
% 0.40/0.57 820[3:Rew:784.0,770.2,792.0,770.2,789.0,770.2,781.0,770.2,785.0,770.2,781.0,770.1,784.0,770.0,792.0,770.0] || equal(u,sk_c5)* equal(u,sk_c5)* equal(u,sk_c5)* -> .
% 0.40/0.57 821[3:Obv:820.1] || equal(u,sk_c5)* -> .
% 0.40/0.57 822[3:UnC:821.0,134.0] || -> .
% 0.40/0.57 824[2:Spt:822.0,41.1,48.0] || equal(inverse(sk_c3),sk_c10)** -> .
% 0.40/0.57 825[2:Spt:822.0,41.0] || -> equal(inverse(sk_c7),sk_c8)**.
% 0.40/0.57 826[2:MRR:39.1,824.0] || -> equal(inverse(sk_c6),sk_c9)**.
% 0.40/0.57 827[2:MRR:36.1,824.0] || -> equal(inverse(sk_c5),sk_c10)**.
% 0.40/0.57 829[2:MRR:40.0,824.0] || -> equal(multiply(sk_c7,sk_c8),sk_c9)**.
% 0.40/0.57 830[2:MRR:38.0,824.0] || -> equal(multiply(sk_c6,sk_c9),sk_c10)**.
% 0.40/0.57 831[2:MRR:37.0,824.0] || -> equal(multiply(sk_c5,sk_c9),sk_c10)**.
% 0.40/0.57 842[2:SpR:829.0,134.0] || -> equal(multiply(inverse(sk_c7),sk_c9),sk_c8)**.
% 0.40/0.57 844[2:Rew:825.0,842.0] || -> equal(multiply(sk_c8,sk_c9),sk_c8)**.
% 0.40/0.57 854[2:SpR:844.0,134.0] || -> equal(multiply(inverse(sk_c8),sk_c8),sk_c9)**.
% 0.40/0.57 856[2:Rew:45.0,854.0] || -> equal(identity,sk_c9)**.
% 0.40/0.57 857[2:Rew:856.0,407.0] || -> equal(multiply(u,sk_c9),u)**.
% 0.40/0.57 860[2:Rew:856.0,61.0] || equal(inverse(sk_c9),u) equal(u,sk_c10) equal(multiply(u,sk_c9),sk_c10)** -> .
% 0.40/0.57 863[2:Rew:857.0,831.0] || -> equal(sk_c10,sk_c5)**.
% 0.40/0.57 864[2:Rew:857.0,830.0] || -> equal(sk_c10,sk_c6)**.
% 0.40/0.57 868[2:Rew:863.0,827.0] || -> equal(inverse(sk_c5),sk_c5)**.
% 0.40/0.57 877[2:Rew:863.0,864.0] || -> equal(sk_c6,sk_c5)**.
% 0.40/0.57 878[2:Rew:877.0,826.0] || -> equal(inverse(sk_c5),sk_c9)**.
% 0.40/0.57 881[2:Rew:868.0,878.0] || -> equal(sk_c9,sk_c5)**.
% 0.40/0.57 885[2:Rew:881.0,857.0] || -> equal(multiply(u,sk_c5),u)**.
% 0.40/0.57 907[2:Rew:885.0,860.2,881.0,860.2,863.0,860.2,863.0,860.1,868.0,860.0,881.0,860.0] || equal(sk_c5,u)* equal(u,sk_c5)* equal(u,sk_c5)* -> .
% 0.40/0.57 908[2:Obv:907.1] || equal(u,sk_c5)* -> .
% 0.40/0.57 909[2:UnC:908.0,134.0] || -> .
% 0.40/0.57 914[1:Spt:909.0,43.0,43.2,43.3,43.4,43.5,43.7,43.8,43.9,43.10,43.12] || equal(inverse(u),v) equal(inverse(w),sk_c9) equal(inverse(x),sk_c10) equal(inverse(y),sk_c10) equal(multiply(u,v),sk_c9)**+ equal(multiply(y,sk_c10),z)* equal(multiply(v,sk_c10),sk_c9)** equal(multiply(w,sk_c9),sk_c10)** equal(multiply(x,sk_c9),sk_c10)** equal(multiply(sk_c10,z),sk_c9)** -> .
% 0.40/0.57 918[2:Spt:13.1] || -> equal(inverse(sk_c1),sk_c2)**.
% 0.40/0.57 919[2:SpR:918.0,134.0] || -> equal(multiply(sk_c2,multiply(sk_c1,u)),u)**.
% 0.40/0.57 921[3:Spt:39.1] || -> equal(inverse(sk_c3),sk_c10)**.
% 0.40/0.57 922[3:SpR:921.0,134.0] || -> equal(multiply(sk_c10,multiply(sk_c3,u)),u)**.
% 0.40/0.57 924[4:Spt:6.1] || -> equal(multiply(sk_c1,sk_c2),sk_c10)**.
% 0.40/0.57 926[4:SpR:924.0,134.0] || -> equal(multiply(inverse(sk_c1),sk_c10),sk_c2)**.
% 0.40/0.57 929[4:Rew:918.0,926.0] || -> equal(multiply(sk_c2,sk_c10),sk_c2)**.
% 0.40/0.57 933[5:Spt:20.1] || -> equal(multiply(sk_c2,sk_c9),sk_c10)**.
% 0.40/0.57 935[5:SpR:933.0,134.0] || -> equal(multiply(inverse(sk_c2),sk_c10),sk_c9)**.
% 0.40/0.57 937[5:SpL:933.0,914.4] || equal(inverse(sk_c2),sk_c9) equal(inverse(u),sk_c9) equal(inverse(v),sk_c10) equal(inverse(w),sk_c10) equal(sk_c10,sk_c9) equal(multiply(w,sk_c10),x)* equal(multiply(sk_c9,sk_c10),sk_c9) equal(multiply(u,sk_c9),sk_c10)** equal(multiply(v,sk_c9),sk_c10)** equal(multiply(sk_c10,x),sk_c9)** -> .
% 0.40/0.57 938[6:Spt:27.1] || -> equal(multiply(sk_c10,sk_c4),sk_c9)**.
% 0.40/0.57 945[4:SpR:929.0,134.0] || -> equal(multiply(inverse(sk_c2),sk_c2),sk_c10)**.
% 0.40/0.57 948[4:Rew:45.0,945.0] || -> equal(sk_c10,identity)**.
% 0.40/0.57 949[4:Rew:948.0,914.2] || equal(inverse(u),v) equal(inverse(w),sk_c9) equal(inverse(x),identity) equal(inverse(y),sk_c10) equal(multiply(u,v),sk_c9)** equal(multiply(y,sk_c10),z)* equal(multiply(v,sk_c10),sk_c9)** equal(multiply(w,sk_c9),sk_c10)** equal(multiply(x,sk_c9),sk_c10)** equal(multiply(sk_c10,z),sk_c9)** -> .
% 0.40/0.57 951[4:Rew:948.0,924.0] || -> equal(multiply(sk_c1,sk_c2),identity)**.
% 0.40/0.57 952[5:Rew:948.0,933.0] || -> equal(multiply(sk_c2,sk_c9),identity)**.
% 0.40/0.57 953[6:Rew:948.0,938.0] || -> equal(multiply(identity,sk_c4),sk_c9)**.
% 0.40/0.57 955[4:Rew:948.0,29.0] || -> equal(inverse(sk_c5),identity) equal(multiply(sk_c3,sk_c10),sk_c4)**.
% 0.40/0.57 956[4:Rew:948.0,30.1] || -> equal(multiply(sk_c5,sk_c9),sk_c10) equal(multiply(sk_c3,identity),sk_c4)**.
% 0.40/0.57 959[4:Rew:948.0,35.1] || -> equal(multiply(sk_c8,sk_c10),sk_c9) equal(multiply(sk_c3,identity),sk_c4)**.
% 0.40/0.57 965[5:Rew:948.0,937.5] || equal(inverse(sk_c2),sk_c9) equal(inverse(u),sk_c9) equal(inverse(v),sk_c10) equal(inverse(w),sk_c10) equal(sk_c10,sk_c9) equal(multiply(w,identity),x)* equal(multiply(sk_c9,sk_c10),sk_c9) equal(multiply(u,sk_c9),sk_c10)** equal(multiply(v,sk_c9),sk_c10)** equal(multiply(sk_c10,x),sk_c9)** -> .
% 0.40/0.57 967[4:Rew:948.0,922.0] || -> equal(multiply(identity,multiply(sk_c3,u)),u)**.
% 0.40/0.57 970[5:Rew:948.0,935.0] || -> equal(multiply(inverse(sk_c2),identity),sk_c9)**.
% 0.40/0.57 973[6:Rew:44.0,953.0] || -> equal(sk_c4,sk_c9)**.
% 0.40/0.57 974[5:Rew:407.0,970.0] || -> equal(inverse(sk_c2),sk_c9)**.
% 0.40/0.57 976[4:Rew:44.0,967.0] || -> equal(multiply(sk_c3,u),u)**.
% 0.40/0.57 978[6:Rew:948.0,955.1,976.0,955.1,973.0,955.1] || -> equal(inverse(sk_c5),identity)** equal(identity,sk_c9).
% 0.40/0.57 984[6:Rew:976.0,956.1,973.0,956.1,948.0,956.0] || -> equal(multiply(sk_c5,sk_c9),identity)** equal(identity,sk_c9).
% 0.40/0.57 987[6:Rew:976.0,959.1,973.0,959.1,407.0,959.0,948.0,959.0] || -> equal(sk_c8,sk_c9) equal(identity,sk_c9)**.
% 0.40/0.57 995[5:Rew:44.0,965.9,948.0,965.9,948.0,965.8,948.0,965.7,407.0,965.6,948.0,965.6,407.0,965.5,948.0,965.4,948.0,965.3,948.0,965.2,974.0,965.0] || equal(sk_c9,sk_c9) equal(inverse(u),sk_c9) equal(inverse(v),identity) equal(inverse(w),identity)** equal(identity,sk_c9) equal(w,x)* equal(sk_c9,sk_c9) equal(multiply(u,sk_c9),identity)** equal(multiply(v,sk_c9),identity)** equal(x,sk_c9)* -> .
% 0.40/0.57 996[5:Obv:995.6] || equal(inverse(u),sk_c9) equal(inverse(v),identity) equal(inverse(w),identity)** equal(identity,sk_c9) equal(w,x)* equal(multiply(u,sk_c9),identity)** equal(multiply(v,sk_c9),identity)** equal(x,sk_c9)* -> .
% 0.40/0.57 997[4:Rew:44.0,949.9,948.0,949.9,948.0,949.8,948.0,949.7,407.0,949.6,948.0,949.6,407.0,949.5,948.0,949.5,948.0,949.3] || equal(inverse(u),v) equal(inverse(w),sk_c9) equal(inverse(x),identity) equal(inverse(y),identity)** equal(multiply(u,v),sk_c9)** equal(y,z)* equal(v,sk_c9) equal(multiply(w,sk_c9),identity)** equal(multiply(x,sk_c9),identity)** equal(z,sk_c9)* -> .
% 0.40/0.57 1015[7:Spt:987.1] || -> equal(identity,sk_c9)**.
% 0.40/0.57 1019[7:Rew:1015.0,951.0] || -> equal(multiply(sk_c1,sk_c2),sk_c9)**.
% 0.40/0.57 1020[7:Rew:1015.0,407.0] || -> equal(multiply(u,sk_c9),u)**.
% 0.40/0.57 1024[7:Rew:1015.0,952.0] || -> equal(multiply(sk_c2,sk_c9),sk_c9)**.
% 0.40/0.57 1025[7:Rew:1015.0,996.3] || equal(inverse(u),sk_c9) equal(inverse(v),identity) equal(inverse(w),identity)** equal(sk_c9,sk_c9) equal(w,x)* equal(multiply(u,sk_c9),identity)** equal(multiply(v,sk_c9),identity)** equal(x,sk_c9)* -> .
% 0.40/0.57 1031[7:Rew:1020.0,1024.0] || -> equal(sk_c9,sk_c2)**.
% 0.40/0.57 1034[7:Rew:1031.0,1015.0] || -> equal(identity,sk_c2)**.
% 0.40/0.57 1038[7:Rew:1031.0,1019.0] || -> equal(multiply(sk_c1,sk_c2),sk_c2)**.
% 0.40/0.57 1039[7:Rew:1031.0,1020.0] || -> equal(multiply(u,sk_c2),u)**.
% 0.40/0.57 1042[7:Rew:1039.0,1038.0] || -> equal(sk_c2,sk_c1)**.
% 0.40/0.57 1043[7:Rew:1042.0,918.0] || -> equal(inverse(sk_c1),sk_c1)**.
% 0.40/0.57 1044[7:Rew:1042.0,1031.0] || -> equal(sk_c9,sk_c1)**.
% 0.40/0.57 1046[7:Rew:1042.0,1034.0] || -> equal(identity,sk_c1)**.
% 0.40/0.57 1051[7:Rew:1042.0,1039.0] || -> equal(multiply(u,sk_c1),u)**.
% 0.40/0.57 1054[7:Obv:1025.3] || equal(inverse(u),sk_c9) equal(inverse(v),identity) equal(inverse(w),identity)** equal(w,x)* equal(multiply(u,sk_c9),identity)** equal(multiply(v,sk_c9),identity)** equal(x,sk_c9)* -> .
% 0.40/0.57 1055[7:Rew:1044.0,1054.6,1051.0,1054.5,1044.0,1054.5,1046.0,1054.5,1051.0,1054.4,1044.0,1054.4,1046.0,1054.4,1046.0,1054.2,1046.0,1054.1,1044.0,1054.0] || equal(inverse(u),sk_c1)** equal(inverse(v),sk_c1)** equal(inverse(w),sk_c1)** equal(w,x)* equal(u,sk_c1) equal(v,sk_c1) equal(x,sk_c1)* -> .
% 0.40/0.57 1056[7:Con:1055.1] || equal(inverse(u),sk_c1)**+ equal(inverse(v),sk_c1)** equal(v,w)* equal(u,sk_c1) equal(w,sk_c1)* -> .
% 0.40/0.57 1300[7:SpL:1043.0,1056.0] || equal(sk_c1,sk_c1) equal(inverse(u),sk_c1)** equal(u,v)* equal(sk_c1,sk_c1) equal(v,sk_c1)* -> .
% 0.40/0.57 1303[7:Obv:1300.3] || equal(inverse(u),sk_c1)**+ equal(u,v)* equal(v,sk_c1)* -> .
% 0.40/0.57 1345[7:SpL:1043.0,1303.0] || equal(sk_c1,sk_c1)* equal(sk_c1,u)* equal(u,sk_c1)* -> .
% 0.40/0.57 1349[7:Obv:1345.1] || equal(u,sk_c1)* -> .
% 0.40/0.57 1350[7:AED:1349.0] || -> .
% 0.40/0.57 1351[7:Spt:1350.0,987.1,1015.0] || equal(identity,sk_c9)** -> .
% 0.40/0.57 1352[7:Spt:1350.0,987.0] || -> equal(sk_c8,sk_c9)**.
% 0.40/0.57 1353[7:MRR:978.1,1351.0] || -> equal(inverse(sk_c5),identity)**.
% 0.40/0.57 1356[7:MRR:984.1,1351.0] || -> equal(multiply(sk_c5,sk_c9),identity)**.
% 0.40/0.57 1378[7:SpR:1353.0,134.0] || -> equal(multiply(identity,multiply(sk_c5,u)),u)**.
% 0.40/0.57 1380[7:Rew:44.0,1378.0] || -> equal(multiply(sk_c5,u),u)**.
% 0.40/0.57 1381[7:Rew:1380.0,1356.0] || -> equal(identity,sk_c9)**.
% 0.40/0.57 1382[7:MRR:1381.0,1351.0] || -> .
% 0.40/0.57 1383[6:Spt:1382.0,27.1,938.0] || equal(multiply(sk_c10,sk_c4),sk_c9)** -> .
% 0.40/0.57 1384[6:Spt:1382.0,27.0] || -> equal(inverse(sk_c7),sk_c8)**.
% 0.40/0.57 1385[6:Rew:948.0,1383.0] || equal(multiply(identity,sk_c4),sk_c9)** -> .
% 0.40/0.57 1386[6:Rew:44.0,1385.0] || equal(sk_c4,sk_c9)** -> .
% 0.40/0.57 1390[4:Rew:948.0,22.1,948.0,22.0] || -> equal(inverse(sk_c5),identity) equal(multiply(identity,sk_c4),sk_c9)**.
% 0.40/0.57 1391[4:Rew:44.0,1390.1] || -> equal(inverse(sk_c5),identity)** equal(sk_c4,sk_c9).
% 0.40/0.57 1392[6:MRR:1391.1,1386.0] || -> equal(inverse(sk_c5),identity)**.
% 0.40/0.57 1393[4:Rew:948.0,28.1,948.0,28.0] || -> equal(multiply(sk_c8,identity),sk_c9) equal(multiply(identity,sk_c4),sk_c9)**.
% 0.40/0.57 1394[4:Rew:44.0,1393.1,407.0,1393.0] || -> equal(sk_c8,sk_c9) equal(sk_c4,sk_c9)**.
% 0.40/0.57 1403[4:Rew:948.0,23.1,948.0,23.0] || -> equal(multiply(sk_c5,sk_c9),identity) equal(multiply(identity,sk_c4),sk_c9)**.
% 0.40/0.57 1404[4:Rew:44.0,1403.1] || -> equal(multiply(sk_c5,sk_c9),identity)** equal(sk_c4,sk_c9).
% 0.40/0.57 1405[6:MRR:1404.1,1386.0] || -> equal(multiply(sk_c5,sk_c9),identity)**.
% 0.40/0.57 1406[4:Rew:948.0,956.0] || -> equal(multiply(sk_c5,sk_c9),identity) equal(multiply(sk_c3,identity),sk_c4)**.
% 0.40/0.57 1409[4:Rew:948.0,959.0] || -> equal(multiply(sk_c8,identity),sk_c9) equal(multiply(sk_c3,identity),sk_c4)**.
% 0.40/0.57 1414[6:SpR:1392.0,134.0] || -> equal(multiply(identity,multiply(sk_c5,u)),u)**.
% 0.40/0.57 1416[6:Rew:44.0,1414.0] || -> equal(multiply(sk_c5,u),u)**.
% 0.40/0.57 1417[6:Rew:1416.0,1405.0] || -> equal(identity,sk_c9)**.
% 0.40/0.57 1421[6:Rew:1417.0,951.0] || -> equal(multiply(sk_c1,sk_c2),sk_c9)**.
% 0.40/0.57 1423[6:Rew:1417.0,952.0] || -> equal(multiply(sk_c2,sk_c9),sk_c9)**.
% 0.40/0.57 1424[6:Rew:1417.0,407.0] || -> equal(multiply(u,sk_c9),u)**.
% 0.40/0.57 1431[6:Rew:1417.0,996.1] || equal(inverse(u),sk_c9) equal(inverse(v),sk_c9) equal(inverse(w),identity)** equal(identity,sk_c9) equal(w,x)* equal(multiply(u,sk_c9),identity)** equal(multiply(v,sk_c9),identity)** equal(x,sk_c9)* -> .
% 0.40/0.57 1435[6:Rew:1424.0,1423.0] || -> equal(sk_c9,sk_c2)**.
% 0.40/0.57 1442[6:Rew:1435.0,1417.0] || -> equal(identity,sk_c2)**.
% 0.40/0.57 1446[6:Rew:1435.0,1421.0] || -> equal(multiply(sk_c1,sk_c2),sk_c2)**.
% 0.40/0.57 1448[6:Rew:1435.0,1424.0] || -> equal(multiply(u,sk_c2),u)**.
% 0.40/0.57 1454[6:Rew:1448.0,1446.0] || -> equal(sk_c2,sk_c1)**.
% 0.40/0.57 1455[6:Rew:1454.0,918.0] || -> equal(inverse(sk_c1),sk_c1)**.
% 0.40/0.57 1456[6:Rew:1454.0,1435.0] || -> equal(sk_c9,sk_c1)**.
% 0.40/0.57 1459[6:Rew:1454.0,1442.0] || -> equal(identity,sk_c1)**.
% 0.40/0.57 1467[6:Rew:1454.0,1448.0] || -> equal(multiply(u,sk_c1),u)**.
% 0.40/0.57 1470[6:Con:1431.1] || equal(inverse(u),sk_c9) equal(inverse(v),identity)** equal(identity,sk_c9) equal(v,w)* equal(multiply(u,sk_c9),identity)** equal(w,sk_c9)* -> .
% 0.40/0.57 1471[6:Rew:1456.0,1470.5,1467.0,1470.4,1456.0,1470.4,1459.0,1470.4,1459.0,1470.2,1456.0,1470.2,1459.0,1470.1,1456.0,1470.0] || equal(inverse(u),sk_c1)** equal(inverse(v),sk_c1)** equal(sk_c1,sk_c1) equal(v,w)* equal(u,sk_c1) equal(w,sk_c1)* -> .
% 0.40/0.57 1472[6:Obv:1471.2] || equal(inverse(u),sk_c1)**+ equal(inverse(v),sk_c1)** equal(v,w)* equal(u,sk_c1) equal(w,sk_c1)* -> .
% 0.40/0.57 1533[0:SpR:260.0,134.0] || -> equal(multiply(u,multiply(inverse(u),v)),v)**.
% 0.40/0.57 1748[6:SpL:1455.0,1472.0] || equal(sk_c1,sk_c1) equal(inverse(u),sk_c1)** equal(u,v)* equal(sk_c1,sk_c1) equal(v,sk_c1)* -> .
% 0.40/0.57 1751[6:Obv:1748.3] || equal(inverse(u),sk_c1)**+ equal(u,v)* equal(v,sk_c1)* -> .
% 0.40/0.57 1793[6:SpL:1455.0,1751.0] || equal(sk_c1,sk_c1)* equal(sk_c1,u)* equal(u,sk_c1)* -> .
% 0.40/0.57 1797[6:Obv:1793.1] || equal(u,sk_c1)* -> .
% 0.40/0.57 1798[6:AED:1797.0] || -> .
% 0.40/0.57 1799[5:Spt:1798.0,20.1,933.0] || equal(multiply(sk_c2,sk_c9),sk_c10)** -> .
% 0.40/0.57 1800[5:Spt:1798.0,20.0] || -> equal(inverse(sk_c7),sk_c8)**.
% 0.40/0.57 1801[5:Rew:948.0,1799.0] || equal(multiply(sk_c2,sk_c9),identity)** -> .
% 0.40/0.57 1819[4:Rew:976.0,1406.1,1404.1,1406.1] || -> equal(multiply(sk_c5,sk_c9),identity)** equal(identity,sk_c9).
% 0.40/0.57 1822[4:Rew:976.0,1409.1,1394.1,1409.1,407.0,1409.0] || -> equal(sk_c8,sk_c9) equal(identity,sk_c9)**.
% 0.40/0.57 1826[4:Rew:1822.1,21.1,948.0,21.1,407.0,21.0,948.0,21.0] || -> equal(sk_c8,sk_c9) equal(multiply(sk_c2,sk_c9),sk_c9)**.
% 0.40/0.57 1827[4:Rew:948.0,19.1] || -> equal(multiply(sk_c7,sk_c8),sk_c9)** equal(multiply(sk_c2,sk_c9),identity).
% 0.40/0.57 1828[5:MRR:1827.1,1801.0] || -> equal(multiply(sk_c7,sk_c8),sk_c9)**.
% 0.40/0.57 1830[4:Rew:1819.1,16.1,948.0,16.1,948.0,16.0] || -> equal(multiply(sk_c5,sk_c9),identity)** equal(multiply(sk_c2,sk_c9),sk_c9).
% 0.40/0.57 1838[5:SpR:1800.0,1533.0] || -> equal(multiply(sk_c7,multiply(sk_c8,u)),u)**.
% 0.40/0.57 1846[5:SpR:1828.0,46.0] || -> equal(multiply(sk_c7,multiply(sk_c8,u)),multiply(sk_c9,u))**.
% 0.40/0.57 1847[5:SpR:1828.0,134.0] || -> equal(multiply(inverse(sk_c7),sk_c9),sk_c8)**.
% 0.40/0.57 1849[5:Rew:1800.0,1847.0] || -> equal(multiply(sk_c8,sk_c9),sk_c8)**.
% 0.40/0.57 1850[5:Rew:1838.0,1846.0] || -> equal(multiply(sk_c9,u),u)**.
% 0.40/0.57 1860[5:SpR:1849.0,134.0] || -> equal(multiply(inverse(sk_c8),sk_c8),sk_c9)**.
% 0.40/0.57 1862[5:Rew:45.0,1860.0] || -> equal(identity,sk_c9)**.
% 0.40/0.57 1866[5:Rew:1862.0,407.0] || -> equal(multiply(u,sk_c9),u)**.
% 0.40/0.57 1870[5:Rew:1862.0,1801.0] || equal(multiply(sk_c2,sk_c9),sk_c9)** -> .
% 0.40/0.57 1875[5:Rew:1862.0,1830.0] || -> equal(multiply(sk_c5,sk_c9),sk_c9)** equal(multiply(sk_c2,sk_c9),sk_c9).
% 0.40/0.57 1879[5:Rew:1862.0,997.2] || equal(inverse(u),v) equal(inverse(w),sk_c9) equal(inverse(x),sk_c9) equal(inverse(y),identity)** equal(multiply(u,v),sk_c9)** equal(y,z)* equal(v,sk_c9) equal(multiply(w,sk_c9),identity)** equal(multiply(x,sk_c9),identity)** equal(z,sk_c9)* -> .
% 0.40/0.57 1881[5:Rew:1866.0,1826.1] || -> equal(sk_c8,sk_c9)** equal(sk_c9,sk_c2).
% 0.40/0.57 1883[5:Rew:1866.0,1870.0] || equal(sk_c9,sk_c2)** -> .
% 0.40/0.57 1884[5:MRR:1881.1,1883.0] || -> equal(sk_c8,sk_c9)**.
% 0.40/0.57 1885[5:Rew:1884.0,1800.0] || -> equal(inverse(sk_c7),sk_c9)**.
% 0.40/0.57 1886[5:Rew:1884.0,1828.0] || -> equal(multiply(sk_c7,sk_c9),sk_c9)**.
% 0.40/0.57 1889[5:Rew:1866.0,1886.0] || -> equal(sk_c7,sk_c9)**.
% 0.40/0.57 1890[5:Rew:1889.0,1885.0] || -> equal(inverse(sk_c9),sk_c9)**.
% 0.40/0.57 1907[5:Rew:1866.0,1875.1,1866.0,1875.0] || -> equal(sk_c9,sk_c5)** equal(sk_c9,sk_c2).
% 0.40/0.57 1908[5:MRR:1907.1,1883.0] || -> equal(sk_c9,sk_c5)**.
% 0.40/0.57 1909[5:Rew:1908.0,1850.0] || -> equal(multiply(sk_c5,u),u)**.
% 0.40/0.57 1910[5:Rew:1908.0,1862.0] || -> equal(identity,sk_c5)**.
% 0.40/0.57 1914[5:Rew:1908.0,1866.0] || -> equal(multiply(u,sk_c5),u)**.
% 0.40/0.57 1919[5:Rew:1908.0,1890.0] || -> equal(inverse(sk_c5),sk_c5)**.
% 0.40/0.57 1925[5:Con:1879.2] || equal(inverse(u),v) equal(inverse(w),sk_c9) equal(inverse(x),identity)** equal(multiply(u,v),sk_c9)** equal(x,y)* equal(v,sk_c9) equal(multiply(w,sk_c9),identity)** equal(y,sk_c9)* -> .
% 0.40/0.57 1926[5:Rew:1908.0,1925.7,1914.0,1925.6,1908.0,1925.6,1910.0,1925.6,1908.0,1925.5,1908.0,1925.3,1910.0,1925.2,1908.0,1925.1] || equal(inverse(u),v) equal(inverse(w),sk_c5)** equal(inverse(x),sk_c5)** equal(multiply(u,v),sk_c5)**+ equal(x,y)* equal(v,sk_c5) equal(w,sk_c5) equal(y,sk_c5)* -> .
% 0.40/0.57 1992[5:SpL:1909.0,1926.3] || equal(inverse(sk_c5),u)* equal(inverse(v),sk_c5)** equal(inverse(w),sk_c5)** equal(u,sk_c5) equal(w,x)* equal(u,sk_c5) equal(v,sk_c5) equal(x,sk_c5)* -> .
% 0.40/0.57 1993[5:Obv:1992.3] || equal(inverse(sk_c5),u)* equal(inverse(v),sk_c5)** equal(inverse(w),sk_c5)** equal(w,x)* equal(u,sk_c5) equal(v,sk_c5) equal(x,sk_c5)* -> .
% 0.40/0.57 1994[5:Rew:1919.0,1993.0] || equal(sk_c5,u)* equal(inverse(v),sk_c5)** equal(inverse(w),sk_c5)** equal(w,x)* equal(u,sk_c5)* equal(v,sk_c5) equal(x,sk_c5)* -> .
% 0.40/0.57 1995[5:Obv:1994.0] || equal(inverse(u),sk_c5)** equal(inverse(v),sk_c5)** equal(v,w)* equal(x,sk_c5)* equal(u,sk_c5) equal(w,sk_c5)* -> .
% 0.40/0.57 1996[5:Con:1995.3] || equal(inverse(u),sk_c5)**+ equal(inverse(v),sk_c5)** equal(v,w)* equal(u,sk_c5) equal(w,sk_c5)* -> .
% 0.40/0.57 2179[5:SpL:1919.0,1996.0] || equal(sk_c5,sk_c5) equal(inverse(u),sk_c5)** equal(u,v)* equal(sk_c5,sk_c5) equal(v,sk_c5)* -> .
% 0.40/0.57 2183[5:Obv:2179.3] || equal(inverse(u),sk_c5)**+ equal(u,v)* equal(v,sk_c5)* -> .
% 0.40/0.57 2286[5:SpL:1919.0,2183.0] || equal(sk_c5,sk_c5)* equal(sk_c5,u)* equal(u,sk_c5)* -> .
% 0.40/0.57 2291[5:Obv:2286.1] || equal(u,sk_c5)* -> .
% 0.40/0.57 2292[5:AED:2291.0] || -> .
% 0.40/0.57 2293[4:Spt:2292.0,6.1,924.0] || equal(multiply(sk_c1,sk_c2),sk_c10)** -> .
% 0.40/0.57 2294[4:Spt:2292.0,6.0] || -> equal(inverse(sk_c7),sk_c8)**.
% 0.40/0.57 2295[4:MRR:4.1,2293.0] || -> equal(inverse(sk_c6),sk_c9)**.
% 0.40/0.57 2297[4:MRR:7.1,2293.0] || -> equal(multiply(sk_c8,sk_c10),sk_c9)**.
% 0.40/0.57 2298[4:MRR:5.1,2293.0] || -> equal(multiply(sk_c7,sk_c8),sk_c9)**.
% 0.40/0.57 2299[4:MRR:3.1,2293.0] || -> equal(multiply(sk_c6,sk_c9),sk_c10)**.
% 0.40/0.57 2300[4:MRR:2.1,2293.0] || -> equal(multiply(sk_c5,sk_c9),sk_c10)**.
% 0.40/0.57 2302[4:SpR:2294.0,1533.0] || -> equal(multiply(sk_c7,multiply(sk_c8,u)),u)**.
% 0.40/0.57 2307[4:SpR:2295.0,134.0] || -> equal(multiply(sk_c9,multiply(sk_c6,u)),u)**.
% 0.40/0.57 2314[4:SpR:2297.0,134.0] || -> equal(multiply(inverse(sk_c8),sk_c9),sk_c10)**.
% 0.40/0.57 2316[4:SpR:2298.0,46.0] || -> equal(multiply(sk_c7,multiply(sk_c8,u)),multiply(sk_c9,u))**.
% 0.40/0.57 2317[4:SpR:2298.0,134.0] || -> equal(multiply(inverse(sk_c7),sk_c9),sk_c8)**.
% 0.40/0.57 2319[4:Rew:2294.0,2317.0] || -> equal(multiply(sk_c8,sk_c9),sk_c8)**.
% 0.40/0.57 2320[4:Rew:2302.0,2316.0] || -> equal(multiply(sk_c9,u),u)**.
% 0.40/0.57 2321[4:Rew:2320.0,2307.0] || -> equal(multiply(sk_c6,u),u)**.
% 0.40/0.57 2324[4:Rew:2321.0,2299.0] || -> equal(sk_c10,sk_c9)**.
% 0.40/0.57 2327[4:Rew:2324.0,2297.0] || -> equal(multiply(sk_c8,sk_c9),sk_c9)**.
% 0.40/0.57 2328[4:Rew:2324.0,2293.0] || equal(multiply(sk_c1,sk_c2),sk_c9)** -> .
% 0.40/0.57 2330[4:Rew:2324.0,2300.0] || -> equal(multiply(sk_c5,sk_c9),sk_c9)**.
% 0.40/0.57 2337[4:Rew:2324.0,2314.0] || -> equal(multiply(inverse(sk_c8),sk_c9),sk_c9)**.
% 0.40/0.57 2338[4:Rew:2319.0,2327.0] || -> equal(sk_c8,sk_c9)**.
% 0.40/0.57 2344[4:Rew:45.0,2337.0,2338.0,2337.0] || -> equal(identity,sk_c9)**.
% 0.40/0.57 2346[4:Rew:2344.0,407.0] || -> equal(multiply(u,sk_c9),u)**.
% 0.40/0.57 2348[4:Rew:2344.0,45.0] || -> equal(multiply(inverse(u),u),sk_c9)**.
% 0.40/0.57 2350[4:Rew:2346.0,2330.0] || -> equal(sk_c9,sk_c5)**.
% 0.40/0.57 2358[4:Rew:2350.0,2328.0] || equal(multiply(sk_c1,sk_c2),sk_c5)** -> .
% 0.40/0.57 2360[4:Rew:2350.0,2346.0] || -> equal(multiply(u,sk_c5),u)**.
% 0.40/0.57 2364[4:Rew:2350.0,2348.0] || -> equal(multiply(inverse(u),u),sk_c5)**.
% 0.40/0.57 2415[4:SpR:2360.0,919.0] || -> equal(multiply(sk_c2,sk_c1),sk_c5)**.
% 0.40/0.57 2426[4:SpR:2415.0,134.0] || -> equal(multiply(inverse(sk_c2),sk_c5),sk_c1)**.
% 0.40/0.57 2428[4:Rew:2360.0,2426.0] || -> equal(inverse(sk_c2),sk_c1)**.
% 0.40/0.57 2449[4:SpR:2428.0,2364.0] || -> equal(multiply(sk_c1,sk_c2),sk_c5)**.
% 0.40/0.57 2451[4:MRR:2449.0,2358.0] || -> .
% 0.40/0.57 2452[3:Spt:2451.0,39.1,921.0] || equal(inverse(sk_c3),sk_c10)** -> .
% 0.40/0.57 2453[3:Spt:2451.0,39.0] || -> equal(inverse(sk_c6),sk_c9)**.
% 0.40/0.57 2455[3:MRR:41.1,2452.0] || -> equal(inverse(sk_c7),sk_c8)**.
% 0.40/0.57 2456[3:MRR:42.0,2452.0] || -> equal(multiply(sk_c8,sk_c10),sk_c9)**.
% 0.40/0.57 2457[3:MRR:40.0,2452.0] || -> equal(multiply(sk_c7,sk_c8),sk_c9)**.
% 0.40/0.57 2458[3:MRR:38.0,2452.0] || -> equal(multiply(sk_c6,sk_c9),sk_c10)**.
% 0.40/0.57 2459[3:MRR:37.0,2452.0] || -> equal(multiply(sk_c5,sk_c9),sk_c10)**.
% 0.40/0.57 2460[3:SpR:2453.0,134.0] || -> equal(multiply(sk_c9,multiply(sk_c6,u)),u)**.
% 0.40/0.57 2467[3:SpR:2455.0,1533.0] || -> equal(multiply(sk_c7,multiply(sk_c8,u)),u)**.
% 0.40/0.57 2470[3:SpR:2456.0,134.0] || -> equal(multiply(inverse(sk_c8),sk_c9),sk_c10)**.
% 0.40/0.57 2472[3:SpR:2457.0,46.0] || -> equal(multiply(sk_c7,multiply(sk_c8,u)),multiply(sk_c9,u))**.
% 0.40/0.57 2473[3:SpR:2457.0,134.0] || -> equal(multiply(inverse(sk_c7),sk_c9),sk_c8)**.
% 0.40/0.57 2475[3:Rew:2455.0,2473.0] || -> equal(multiply(sk_c8,sk_c9),sk_c8)**.
% 0.40/0.57 2476[3:Rew:2467.0,2472.0] || -> equal(multiply(sk_c9,u),u)**.
% 0.40/0.57 2477[3:Rew:2476.0,2460.0] || -> equal(multiply(sk_c6,u),u)**.
% 0.40/0.57 2480[3:Rew:2477.0,2458.0] || -> equal(sk_c10,sk_c9)**.
% 0.40/0.57 2483[3:Rew:2480.0,2456.0] || -> equal(multiply(sk_c8,sk_c9),sk_c9)**.
% 0.40/0.57 2484[3:Rew:2480.0,2459.0] || -> equal(multiply(sk_c5,sk_c9),sk_c9)**.
% 0.40/0.57 2486[3:Rew:2480.0,914.2] || equal(inverse(u),v) equal(inverse(w),sk_c9) equal(inverse(x),sk_c9) equal(inverse(y),sk_c10) equal(multiply(u,v),sk_c9)** equal(multiply(y,sk_c10),z)* equal(multiply(v,sk_c10),sk_c9)** equal(multiply(w,sk_c9),sk_c10)** equal(multiply(x,sk_c9),sk_c10)** equal(multiply(sk_c10,z),sk_c9)** -> .
% 0.40/0.57 2490[3:Rew:2480.0,2470.0] || -> equal(multiply(inverse(sk_c8),sk_c9),sk_c9)**.
% 0.40/0.57 2491[3:Rew:2475.0,2483.0] || -> equal(sk_c8,sk_c9)**.
% 0.40/0.57 2492[3:Rew:2491.0,2455.0] || -> equal(inverse(sk_c7),sk_c9)**.
% 0.40/0.57 2493[3:Rew:2491.0,2457.0] || -> equal(multiply(sk_c7,sk_c9),sk_c9)**.
% 0.40/0.57 2497[3:Rew:45.0,2490.0,2491.0,2490.0] || -> equal(identity,sk_c9)**.
% 0.40/0.57 2498[3:Rew:2497.0,407.0] || -> equal(multiply(u,sk_c9),u)**.
% 0.40/0.57 2499[3:Rew:2497.0,44.0] || -> equal(multiply(sk_c9,u),u)**.
% 0.40/0.57 2502[3:Rew:2498.0,2493.0] || -> equal(sk_c7,sk_c9)**.
% 0.40/0.57 2503[3:Rew:2498.0,2484.0] || -> equal(sk_c9,sk_c5)**.
% 0.40/0.57 2504[3:Rew:2502.0,2492.0] || -> equal(inverse(sk_c9),sk_c9)**.
% 0.40/0.57 2507[3:Rew:2503.0,2480.0] || -> equal(sk_c10,sk_c5)**.
% 0.40/0.57 2512[3:Rew:2503.0,2498.0] || -> equal(multiply(u,sk_c5),u)**.
% 0.40/0.57 2514[3:Rew:2503.0,2504.0] || -> equal(inverse(sk_c5),sk_c5)**.
% 0.40/0.57 2515[3:Rew:2503.0,2499.0] || -> equal(multiply(sk_c5,u),u)**.
% 0.40/0.57 2523[3:Con:2486.2] || equal(inverse(u),v) equal(inverse(w),sk_c9) equal(inverse(x),sk_c10) equal(multiply(u,v),sk_c9)** equal(multiply(x,sk_c10),y)* equal(multiply(v,sk_c10),sk_c9)** equal(multiply(w,sk_c9),sk_c10)** equal(multiply(sk_c10,y),sk_c9)** -> .
% 0.40/0.57 2524[3:Rew:2515.0,2523.7,2507.0,2523.7,2503.0,2523.7,2512.0,2523.6,2503.0,2523.6,2507.0,2523.6,2512.0,2523.5,2507.0,2523.5,2503.0,2523.5,2512.0,2523.4,2507.0,2523.4,2503.0,2523.3,2507.0,2523.2,2503.0,2523.1] || equal(inverse(u),v) equal(inverse(w),sk_c5)** equal(inverse(x),sk_c5)** equal(multiply(u,v),sk_c5)**+ equal(x,y)* equal(v,sk_c5) equal(w,sk_c5) equal(y,sk_c5)* -> .
% 0.40/0.57 2612[3:SpL:2515.0,2524.3] || equal(inverse(sk_c5),u)* equal(inverse(v),sk_c5)** equal(inverse(w),sk_c5)** equal(u,sk_c5) equal(w,x)* equal(u,sk_c5) equal(v,sk_c5) equal(x,sk_c5)* -> .
% 0.40/0.57 2618[3:Obv:2612.3] || equal(inverse(sk_c5),u)* equal(inverse(v),sk_c5)** equal(inverse(w),sk_c5)** equal(w,x)* equal(u,sk_c5) equal(v,sk_c5) equal(x,sk_c5)* -> .
% 0.40/0.57 2619[3:Rew:2514.0,2618.0] || equal(sk_c5,u)* equal(inverse(v),sk_c5)** equal(inverse(w),sk_c5)** equal(w,x)* equal(u,sk_c5)* equal(v,sk_c5) equal(x,sk_c5)* -> .
% 0.40/0.57 2620[3:Obv:2619.0] || equal(inverse(u),sk_c5)** equal(inverse(v),sk_c5)** equal(v,w)* equal(x,sk_c5)* equal(u,sk_c5) equal(w,sk_c5)* -> .
% 0.40/0.57 2621[3:Con:2620.3] || equal(inverse(u),sk_c5)**+ equal(inverse(v),sk_c5)** equal(v,w)* equal(u,sk_c5) equal(w,sk_c5)* -> .
% 0.40/0.57 2745[3:SpL:2514.0,2621.0] || equal(sk_c5,sk_c5) equal(inverse(u),sk_c5)** equal(u,v)* equal(sk_c5,sk_c5) equal(v,sk_c5)* -> .
% 0.40/0.57 2748[3:Obv:2745.3] || equal(inverse(u),sk_c5)**+ equal(u,v)* equal(v,sk_c5)* -> .
% 0.40/0.57 2816[3:SpL:2514.0,2748.0] || equal(sk_c5,sk_c5)* equal(sk_c5,u)* equal(u,sk_c5)* -> .
% 0.40/0.57 2821[3:Obv:2816.1] || equal(u,sk_c5)* -> .
% 0.40/0.57 2822[3:AED:2821.0] || -> .
% 0.40/0.57 2823[2:Spt:2822.0,13.1,918.0] || equal(inverse(sk_c1),sk_c2)** -> .
% 0.40/0.57 2824[2:Spt:2822.0,13.0] || -> equal(inverse(sk_c7),sk_c8)**.
% 0.40/0.57 2825[2:MRR:11.1,2823.0] || -> equal(inverse(sk_c6),sk_c9)**.
% 0.40/0.57 2827[2:MRR:14.0,2823.0] || -> equal(multiply(sk_c8,sk_c10),sk_c9)**.
% 0.40/0.57 2828[2:MRR:12.0,2823.0] || -> equal(multiply(sk_c7,sk_c8),sk_c9)**.
% 0.40/0.57 2829[2:MRR:10.0,2823.0] || -> equal(multiply(sk_c6,sk_c9),sk_c10)**.
% 0.40/0.57 2830[2:MRR:9.0,2823.0] || -> equal(multiply(sk_c5,sk_c9),sk_c10)**.
% 0.40/0.57 2832[2:SpR:2824.0,1533.0] || -> equal(multiply(sk_c7,multiply(sk_c8,u)),u)**.
% 0.40/0.57 2834[2:SpR:2825.0,134.0] || -> equal(multiply(sk_c9,multiply(sk_c6,u)),u)**.
% 0.40/0.57 2841[2:SpR:2827.0,134.0] || -> equal(multiply(inverse(sk_c8),sk_c9),sk_c10)**.
% 0.40/0.57 2843[2:SpR:2828.0,46.0] || -> equal(multiply(sk_c7,multiply(sk_c8,u)),multiply(sk_c9,u))**.
% 0.40/0.57 2844[2:SpR:2828.0,134.0] || -> equal(multiply(inverse(sk_c7),sk_c9),sk_c8)**.
% 0.40/0.58 2846[2:Rew:2824.0,2844.0] || -> equal(multiply(sk_c8,sk_c9),sk_c8)**.
% 0.40/0.58 2847[2:Rew:2832.0,2843.0] || -> equal(multiply(sk_c9,u),u)**.
% 0.40/0.58 2848[2:Rew:2847.0,2834.0] || -> equal(multiply(sk_c6,u),u)**.
% 0.40/0.58 2851[2:Rew:2848.0,2829.0] || -> equal(sk_c10,sk_c9)**.
% 0.40/0.58 2853[2:Rew:2851.0,2827.0] || -> equal(multiply(sk_c8,sk_c9),sk_c9)**.
% 0.40/0.58 2854[2:Rew:2851.0,2830.0] || -> equal(multiply(sk_c5,sk_c9),sk_c9)**.
% 0.40/0.58 2856[2:Rew:2851.0,914.2] || equal(inverse(u),v) equal(inverse(w),sk_c9) equal(inverse(x),sk_c9) equal(inverse(y),sk_c10) equal(multiply(u,v),sk_c9)** equal(multiply(y,sk_c10),z)* equal(multiply(v,sk_c10),sk_c9)** equal(multiply(w,sk_c9),sk_c10)** equal(multiply(x,sk_c9),sk_c10)** equal(multiply(sk_c10,z),sk_c9)** -> .
% 0.40/0.58 2860[2:Rew:2851.0,2841.0] || -> equal(multiply(inverse(sk_c8),sk_c9),sk_c9)**.
% 0.40/0.58 2861[2:Rew:2846.0,2853.0] || -> equal(sk_c8,sk_c9)**.
% 0.40/0.58 2862[2:Rew:2861.0,2824.0] || -> equal(inverse(sk_c7),sk_c9)**.
% 0.40/0.58 2863[2:Rew:2861.0,2828.0] || -> equal(multiply(sk_c7,sk_c9),sk_c9)**.
% 0.40/0.58 2867[2:Rew:45.0,2860.0,2861.0,2860.0] || -> equal(identity,sk_c9)**.
% 0.40/0.58 2869[2:Rew:2867.0,407.0] || -> equal(multiply(u,sk_c9),u)**.
% 0.40/0.58 2872[2:Rew:2869.0,2863.0] || -> equal(sk_c7,sk_c9)**.
% 0.40/0.58 2873[2:Rew:2869.0,2854.0] || -> equal(sk_c9,sk_c5)**.
% 0.40/0.58 2874[2:Rew:2872.0,2862.0] || -> equal(inverse(sk_c9),sk_c9)**.
% 0.40/0.58 2876[2:Rew:2873.0,2847.0] || -> equal(multiply(sk_c5,u),u)**.
% 0.40/0.58 2877[2:Rew:2873.0,2851.0] || -> equal(sk_c10,sk_c5)**.
% 0.40/0.58 2881[2:Rew:2873.0,2869.0] || -> equal(multiply(u,sk_c5),u)**.
% 0.40/0.58 2883[2:Rew:2873.0,2874.0] || -> equal(inverse(sk_c5),sk_c5)**.
% 0.40/0.58 2891[2:Con:2856.2] || equal(inverse(u),v) equal(inverse(w),sk_c9) equal(inverse(x),sk_c10) equal(multiply(u,v),sk_c9)** equal(multiply(x,sk_c10),y)* equal(multiply(v,sk_c10),sk_c9)** equal(multiply(w,sk_c9),sk_c10)** equal(multiply(sk_c10,y),sk_c9)** -> .
% 0.40/0.58 2892[2:Rew:2876.0,2891.7,2877.0,2891.7,2873.0,2891.7,2881.0,2891.6,2873.0,2891.6,2877.0,2891.6,2881.0,2891.5,2877.0,2891.5,2873.0,2891.5,2881.0,2891.4,2877.0,2891.4,2873.0,2891.3,2877.0,2891.2,2873.0,2891.1] || equal(inverse(u),v) equal(inverse(w),sk_c5)** equal(inverse(x),sk_c5)** equal(multiply(u,v),sk_c5)**+ equal(x,y)* equal(v,sk_c5) equal(w,sk_c5) equal(y,sk_c5)* -> .
% 0.40/0.58 2970[2:SpL:2876.0,2892.3] || equal(inverse(sk_c5),u)* equal(inverse(v),sk_c5)** equal(inverse(w),sk_c5)** equal(u,sk_c5) equal(w,x)* equal(u,sk_c5) equal(v,sk_c5) equal(x,sk_c5)* -> .
% 0.40/0.58 2972[2:Obv:2970.3] || equal(inverse(sk_c5),u)* equal(inverse(v),sk_c5)** equal(inverse(w),sk_c5)** equal(w,x)* equal(u,sk_c5) equal(v,sk_c5) equal(x,sk_c5)* -> .
% 0.40/0.58 2973[2:Rew:2883.0,2972.0] || equal(sk_c5,u)* equal(inverse(v),sk_c5)** equal(inverse(w),sk_c5)** equal(w,x)* equal(u,sk_c5)* equal(v,sk_c5) equal(x,sk_c5)* -> .
% 0.40/0.58 2974[2:Obv:2973.0] || equal(inverse(u),sk_c5)** equal(inverse(v),sk_c5)** equal(v,w)* equal(x,sk_c5)* equal(u,sk_c5) equal(w,sk_c5)* -> .
% 0.40/0.58 2975[2:Con:2974.3] || equal(inverse(u),sk_c5)**+ equal(inverse(v),sk_c5)** equal(v,w)* equal(u,sk_c5) equal(w,sk_c5)* -> .
% 0.40/0.58 3092[2:SpL:2883.0,2975.0] || equal(sk_c5,sk_c5) equal(inverse(u),sk_c5)** equal(u,v)* equal(sk_c5,sk_c5) equal(v,sk_c5)* -> .
% 0.40/0.58 3094[2:Obv:3092.3] || equal(inverse(u),sk_c5)**+ equal(u,v)* equal(v,sk_c5)* -> .
% 0.40/0.58 3174[2:SpL:2883.0,3094.0] || equal(sk_c5,sk_c5)* equal(sk_c5,u)* equal(u,sk_c5)* -> .
% 0.40/0.58 3178[2:Obv:3174.1] || equal(u,sk_c5)* -> .
% 0.40/0.58 3179[2:AED:3178.0] || -> .
% 0.40/0.58 % SZS output end Refutation
% 0.40/0.58 Formulae used in the proof : prove_this_2 prove_this_3 prove_this_4 prove_this_5 prove_this_6 prove_this_7 prove_this_8 prove_this_9 prove_this_10 prove_this_11 prove_this_12 prove_this_13 prove_this_14 prove_this_15 prove_this_16 prove_this_17 prove_this_18 prove_this_19 prove_this_20 prove_this_21 prove_this_22 prove_this_23 prove_this_24 prove_this_25 prove_this_26 prove_this_27 prove_this_28 prove_this_29 prove_this_30 prove_this_31 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 prove_this_42 prove_this_43 left_identity left_inverse associativity
% 0.40/0.58
%------------------------------------------------------------------------------