TSTP Solution File: GRP228-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GRP228-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n029.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 11:46:25 EDT 2022
% Result : Unsatisfiable 0.50s 0.68s
% Output : Refutation 0.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP228-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n029.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 : Mon Jun 13 21:01:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.50/0.68
% 0.50/0.68 SPASS V 3.9
% 0.50/0.68 SPASS beiseite: Proof found.
% 0.50/0.68 % SZS status Theorem
% 0.50/0.68 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.50/0.68 SPASS derived 2790 clauses, backtracked 560 clauses, performed 11 splits and kept 1224 clauses.
% 0.50/0.68 SPASS allocated 65534 KBytes.
% 0.50/0.68 SPASS spent 0:00:00.32 on the problem.
% 0.50/0.68 0:00:00.04 for the input.
% 0.50/0.68 0:00:00.00 for the FLOTTER CNF translation.
% 0.50/0.68 0:00:00.02 for inferences.
% 0.50/0.68 0:00:00.01 for the backtracking.
% 0.50/0.68 0:00:00.23 for the reduction.
% 0.50/0.68
% 0.50/0.68
% 0.50/0.68 Here is a proof with depth 4, length 487 :
% 0.50/0.68 % SZS output start Refutation
% 0.50/0.68 1[0:Inp] || -> equal(inverse(sk_c10),sk_c9)** equal(inverse(sk_c1),sk_c10).
% 0.50/0.68 2[0:Inp] || -> equal(inverse(sk_c4),sk_c10)** equal(inverse(sk_c1),sk_c10).
% 0.50/0.68 3[0:Inp] || -> equal(inverse(sk_c1),sk_c10) equal(multiply(sk_c4,sk_c9),sk_c10)**.
% 0.50/0.68 4[0:Inp] || -> equal(inverse(sk_c1),sk_c10) equal(multiply(sk_c5,sk_c8),sk_c10)**.
% 0.50/0.68 5[0:Inp] || -> equal(inverse(sk_c5),sk_c8)** equal(inverse(sk_c1),sk_c10).
% 0.50/0.68 10[0:Inp] || -> equal(inverse(sk_c10),sk_c9) equal(multiply(sk_c1,sk_c9),sk_c10)**.
% 0.50/0.68 11[0:Inp] || -> equal(inverse(sk_c4),sk_c10) equal(multiply(sk_c1,sk_c9),sk_c10)**.
% 0.50/0.68 12[0:Inp] || -> equal(multiply(sk_c4,sk_c9),sk_c10)** equal(multiply(sk_c1,sk_c9),sk_c10).
% 0.50/0.68 13[0:Inp] || -> equal(multiply(sk_c5,sk_c8),sk_c10)** equal(multiply(sk_c1,sk_c9),sk_c10).
% 0.50/0.68 14[0:Inp] || -> equal(inverse(sk_c5),sk_c8) equal(multiply(sk_c1,sk_c9),sk_c10)**.
% 0.50/0.68 15[0:Inp] || -> equal(multiply(sk_c8,sk_c9),sk_c10)** equal(multiply(sk_c1,sk_c9),sk_c10).
% 0.50/0.68 19[0:Inp] || -> equal(inverse(sk_c10),sk_c9) equal(multiply(sk_c10,sk_c3),sk_c9)**.
% 0.50/0.68 20[0:Inp] || -> equal(inverse(sk_c4),sk_c10) equal(multiply(sk_c10,sk_c3),sk_c9)**.
% 0.50/0.68 21[0:Inp] || -> equal(multiply(sk_c4,sk_c9),sk_c10) equal(multiply(sk_c10,sk_c3),sk_c9)**.
% 0.50/0.68 22[0:Inp] || -> equal(multiply(sk_c5,sk_c8),sk_c10) equal(multiply(sk_c10,sk_c3),sk_c9)**.
% 0.50/0.68 23[0:Inp] || -> equal(inverse(sk_c5),sk_c8) equal(multiply(sk_c10,sk_c3),sk_c9)**.
% 0.50/0.68 24[0:Inp] || -> equal(multiply(sk_c8,sk_c9),sk_c10) equal(multiply(sk_c10,sk_c3),sk_c9)**.
% 0.50/0.68 25[0:Inp] || -> equal(inverse(sk_c7),sk_c6) equal(multiply(sk_c10,sk_c3),sk_c9)**.
% 0.50/0.68 26[0:Inp] || -> equal(inverse(sk_c6),sk_c8) equal(multiply(sk_c10,sk_c3),sk_c9)**.
% 0.50/0.68 27[0:Inp] || -> equal(multiply(sk_c7,sk_c8),sk_c6) equal(multiply(sk_c10,sk_c3),sk_c9)**.
% 0.50/0.68 28[0:Inp] || -> equal(inverse(sk_c10),sk_c9) equal(multiply(sk_c2,sk_c10),sk_c3)**.
% 0.50/0.68 29[0:Inp] || -> equal(inverse(sk_c4),sk_c10) equal(multiply(sk_c2,sk_c10),sk_c3)**.
% 0.50/0.68 30[0:Inp] || -> equal(multiply(sk_c4,sk_c9),sk_c10) equal(multiply(sk_c2,sk_c10),sk_c3)**.
% 0.50/0.68 31[0:Inp] || -> equal(multiply(sk_c5,sk_c8),sk_c10) equal(multiply(sk_c2,sk_c10),sk_c3)**.
% 0.50/0.68 32[0:Inp] || -> equal(inverse(sk_c5),sk_c8) equal(multiply(sk_c2,sk_c10),sk_c3)**.
% 0.50/0.68 37[0:Inp] || -> equal(inverse(sk_c10),sk_c9)** equal(inverse(sk_c2),sk_c10).
% 0.50/0.68 38[0:Inp] || -> equal(inverse(sk_c4),sk_c10) equal(inverse(sk_c2),sk_c10)**.
% 0.50/0.68 39[0:Inp] || -> equal(inverse(sk_c2),sk_c10) equal(multiply(sk_c4,sk_c9),sk_c10)**.
% 0.50/0.68 40[0:Inp] || -> equal(inverse(sk_c2),sk_c10) equal(multiply(sk_c5,sk_c8),sk_c10)**.
% 0.50/0.68 41[0:Inp] || -> equal(inverse(sk_c5),sk_c8) equal(inverse(sk_c2),sk_c10)**.
% 0.50/0.68 46[0:Inp] || equal(inverse(u),sk_c10) equal(multiply(u,sk_c9),sk_c10)** equal(multiply(sk_c10,v),sk_c9)** equal(multiply(w,sk_c10),v)* equal(inverse(w),sk_c10) equal(inverse(sk_c10),sk_c9) equal(inverse(x),sk_c10) equal(multiply(x,sk_c9),sk_c10)** equal(multiply(y,z),sk_c10)** equal(inverse(y),z) equal(multiply(z,sk_c9),sk_c10)** equal(inverse(x1),x2) equal(inverse(x2),z)* equal(multiply(x1,z),x2)* -> .
% 0.50/0.68 47[0:Inp] || -> equal(multiply(identity,u),u)**.
% 0.50/0.68 48[0:Inp] || -> equal(multiply(inverse(u),u),identity)**.
% 0.50/0.68 49[0:Inp] || -> equal(multiply(multiply(u,v),w),multiply(u,multiply(v,w)))**.
% 0.50/0.68 50[0:Con:46.6] || equal(inverse(u),v)* equal(inverse(w),u) equal(inverse(x),v) equal(inverse(y),sk_c10) equal(inverse(z),sk_c10) equal(inverse(sk_c10),sk_c9) equal(multiply(w,v),u)*+ equal(multiply(x,v),sk_c10)** equal(multiply(y,sk_c10),x1)* equal(multiply(v,sk_c9),sk_c10)** equal(multiply(z,sk_c9),sk_c10)** equal(multiply(sk_c10,x1),sk_c9)** -> .
% 0.50/0.68 51[1:Spt:50.0,50.1,50.2,50.6,50.7,50.9] || equal(inverse(u),v)* equal(inverse(w),u) equal(inverse(x),v) equal(multiply(w,v),u)* equal(multiply(x,v),sk_c10)** equal(multiply(v,sk_c9),sk_c10)** -> .
% 0.50/0.68 52[1:EqR:51.3] || equal(inverse(multiply(u,v)),v)** equal(multiply(u,v),inverse(u)) equal(inverse(w),v) equal(multiply(w,v),sk_c10)** equal(multiply(v,sk_c9),sk_c10) -> .
% 0.50/0.68 53[2:Spt:37.1] || -> equal(inverse(sk_c2),sk_c10)**.
% 0.50/0.68 55[3:Spt:1.1] || -> equal(inverse(sk_c1),sk_c10)**.
% 0.50/0.68 57[4:Spt:28.1] || -> equal(multiply(sk_c2,sk_c10),sk_c3)**.
% 0.50/0.68 61[5:Spt:19.1] || -> equal(multiply(sk_c10,sk_c3),sk_c9)**.
% 0.50/0.68 64[6:Spt:10.1] || -> equal(multiply(sk_c1,sk_c9),sk_c10)**.
% 0.50/0.68 66[6:SpL:64.0,51.3] || equal(inverse(u),sk_c9)** equal(inverse(sk_c1),u)* equal(inverse(v),sk_c9) equal(sk_c10,u) equal(multiply(v,sk_c9),sk_c10)** equal(multiply(sk_c9,sk_c9),sk_c10)** -> .
% 0.50/0.68 67[6:Rew:55.0,66.1] || equal(inverse(u),sk_c9)** equal(sk_c10,u) equal(inverse(v),sk_c9) equal(sk_c10,u) equal(multiply(v,sk_c9),sk_c10)** equal(multiply(sk_c9,sk_c9),sk_c10)** -> .
% 0.50/0.68 68[6:Obv:67.1] || equal(inverse(u),sk_c9)** equal(inverse(v),sk_c9) equal(sk_c10,u) equal(multiply(v,sk_c9),sk_c10)** equal(multiply(sk_c9,sk_c9),sk_c10)** -> .
% 0.50/0.68 72[2:SpR:53.0,48.0] || -> equal(multiply(sk_c10,sk_c2),identity)**.
% 0.50/0.68 73[3:SpR:55.0,48.0] || -> equal(multiply(sk_c10,sk_c1),identity)**.
% 0.50/0.68 84[4:SpR:57.0,49.0] || -> equal(multiply(sk_c2,multiply(sk_c10,u)),multiply(sk_c3,u))**.
% 0.50/0.68 86[2:SpR:72.0,49.0] || -> equal(multiply(sk_c10,multiply(sk_c2,u)),multiply(identity,u))**.
% 0.50/0.68 87[3:SpR:73.0,49.0] || -> equal(multiply(sk_c10,multiply(sk_c1,u)),multiply(identity,u))**.
% 0.50/0.68 89[0:SpR:48.0,49.0] || -> equal(multiply(inverse(u),multiply(u,v)),multiply(identity,v))**.
% 0.50/0.68 91[2:Rew:47.0,86.0] || -> equal(multiply(sk_c10,multiply(sk_c2,u)),u)**.
% 0.50/0.68 92[3:Rew:47.0,87.0] || -> equal(multiply(sk_c10,multiply(sk_c1,u)),u)**.
% 0.50/0.68 93[0:Rew:47.0,89.0] || -> equal(multiply(inverse(u),multiply(u,v)),v)**.
% 0.50/0.68 97[4:SpR:57.0,91.0] || -> equal(multiply(sk_c10,sk_c3),sk_c10)**.
% 0.50/0.68 99[5:Rew:61.0,97.0] || -> equal(sk_c10,sk_c9)**.
% 0.50/0.68 102[5:Rew:99.0,55.0] || -> equal(inverse(sk_c1),sk_c9)**.
% 0.50/0.68 103[5:Rew:99.0,57.0] || -> equal(multiply(sk_c2,sk_c9),sk_c3)**.
% 0.50/0.68 104[5:Rew:99.0,61.0] || -> equal(multiply(sk_c9,sk_c3),sk_c9)**.
% 0.50/0.68 105[6:Rew:99.0,64.0] || -> equal(multiply(sk_c1,sk_c9),sk_c9)**.
% 0.50/0.68 106[5:Rew:99.0,72.0] || -> equal(multiply(sk_c9,sk_c2),identity)**.
% 0.50/0.68 107[5:Rew:99.0,73.0] || -> equal(multiply(sk_c9,sk_c1),identity)**.
% 0.50/0.68 116[6:Rew:99.0,68.3] || equal(inverse(u),sk_c9)** equal(inverse(v),sk_c9) equal(sk_c10,u) equal(multiply(v,sk_c9),sk_c9)** equal(multiply(sk_c9,sk_c9),sk_c10)** -> .
% 0.50/0.68 121[5:Rew:99.0,92.0] || -> equal(multiply(sk_c9,multiply(sk_c1,u)),u)**.
% 0.50/0.68 125[6:Rew:99.0,116.4,99.0,116.2] || equal(inverse(u),sk_c9)** equal(inverse(v),sk_c9) equal(sk_c9,u) equal(multiply(v,sk_c9),sk_c9)** equal(multiply(sk_c9,sk_c9),sk_c9)** -> .
% 0.50/0.68 154[0:SpR:93.0,93.0] || -> equal(multiply(inverse(inverse(u)),v),multiply(u,v))**.
% 0.50/0.68 156[0:SpR:47.0,93.0] || -> equal(multiply(inverse(identity),u),u)**.
% 0.50/0.68 157[0:SpR:48.0,93.0] || -> equal(multiply(inverse(inverse(u)),identity),u)**.
% 0.50/0.68 160[6:SpR:105.0,93.0] || -> equal(multiply(inverse(sk_c1),sk_c9),sk_c9)**.
% 0.50/0.68 161[5:SpR:104.0,93.0] || -> equal(multiply(inverse(sk_c9),sk_c9),sk_c3)**.
% 0.50/0.68 162[5:SpR:106.0,93.0] || -> equal(multiply(inverse(sk_c9),identity),sk_c2)**.
% 0.50/0.68 163[5:SpR:107.0,93.0] || -> equal(multiply(inverse(sk_c9),identity),sk_c1)**.
% 0.50/0.68 167[6:Rew:102.0,160.0] || -> equal(multiply(sk_c9,sk_c9),sk_c9)**.
% 0.50/0.68 168[6:Rew:167.0,125.4] || equal(inverse(u),sk_c9)** equal(inverse(v),sk_c9) equal(sk_c9,u) equal(multiply(v,sk_c9),sk_c9)** equal(sk_c9,sk_c9) -> .
% 0.50/0.68 169[5:Rew:48.0,161.0] || -> equal(identity,sk_c3)**.
% 0.50/0.68 170[5:Rew:169.0,47.0] || -> equal(multiply(sk_c3,u),u)**.
% 0.50/0.68 172[5:Rew:169.0,106.0] || -> equal(multiply(sk_c9,sk_c2),sk_c3)**.
% 0.50/0.68 182[5:Rew:169.0,162.0] || -> equal(multiply(inverse(sk_c9),sk_c3),sk_c2)**.
% 0.50/0.68 183[5:Rew:182.0,163.0,169.0,163.0] || -> equal(sk_c2,sk_c1)**.
% 0.50/0.68 185[5:Rew:183.0,103.0] || -> equal(multiply(sk_c1,sk_c9),sk_c3)**.
% 0.50/0.68 188[5:Rew:183.0,172.0] || -> equal(multiply(sk_c9,sk_c1),sk_c3)**.
% 0.50/0.68 189[5:Rew:183.0,182.0] || -> equal(multiply(inverse(sk_c9),sk_c3),sk_c1)**.
% 0.50/0.68 190[6:Rew:105.0,185.0] || -> equal(sk_c3,sk_c9)**.
% 0.50/0.68 192[6:Rew:190.0,169.0] || -> equal(identity,sk_c9)**.
% 0.50/0.68 193[6:Rew:190.0,170.0] || -> equal(multiply(sk_c9,u),u)**.
% 0.50/0.68 195[6:Rew:190.0,188.0] || -> equal(multiply(sk_c9,sk_c1),sk_c9)**.
% 0.50/0.68 197[6:Rew:193.0,195.0] || -> equal(sk_c9,sk_c1)**.
% 0.50/0.68 200[6:Rew:197.0,102.0] || -> equal(inverse(sk_c1),sk_c1)**.
% 0.50/0.68 206[6:Rew:197.0,192.0] || -> equal(identity,sk_c1)**.
% 0.50/0.68 212[6:Rew:206.0,157.0] || -> equal(multiply(inverse(inverse(u)),sk_c1),u)**.
% 0.50/0.68 217[6:Rew:154.0,212.0] || -> equal(multiply(u,sk_c1),u)**.
% 0.50/0.68 219[6:Obv:168.4] || equal(inverse(u),sk_c9)** equal(inverse(v),sk_c9) equal(sk_c9,u) equal(multiply(v,sk_c9),sk_c9)** -> .
% 0.50/0.68 220[6:Rew:217.0,219.3,197.0,219.3,197.0,219.2,197.0,219.1,197.0,219.0] || equal(inverse(u),sk_c1)**+ equal(inverse(v),sk_c1)** equal(sk_c1,u) equal(v,sk_c1) -> .
% 0.50/0.68 517[6:SpL:200.0,220.0] || equal(sk_c1,sk_c1) equal(inverse(u),sk_c1)** equal(sk_c1,sk_c1) equal(u,sk_c1) -> .
% 0.50/0.68 520[6:Obv:517.2] || equal(inverse(u),sk_c1)** equal(u,sk_c1) -> .
% 0.50/0.68 522[6:SpL:200.0,520.0] || equal(sk_c1,sk_c1)* equal(sk_c1,sk_c1)* -> .
% 0.50/0.68 525[6:Obv:522.1] || -> .
% 0.50/0.68 526[6:Spt:525.0,10.1,64.0] || equal(multiply(sk_c1,sk_c9),sk_c10)** -> .
% 0.50/0.68 527[6:Spt:525.0,10.0] || -> equal(inverse(sk_c10),sk_c9)**.
% 0.50/0.68 528[6:Rew:99.0,527.0] || -> equal(inverse(sk_c9),sk_c9)**.
% 0.50/0.68 529[6:Rew:104.0,189.0,528.0,189.0] || -> equal(sk_c9,sk_c1)**.
% 0.50/0.68 530[6:Rew:529.0,99.0] || -> equal(sk_c10,sk_c1)**.
% 0.50/0.68 533[6:Rew:529.0,185.0] || -> equal(multiply(sk_c1,sk_c1),sk_c3)**.
% 0.50/0.68 536[6:Rew:533.0,526.0,529.0,526.0,530.0,526.0] || equal(sk_c3,sk_c1)** -> .
% 0.50/0.68 537[6:Rew:529.0,121.0] || -> equal(multiply(sk_c1,multiply(sk_c1,u)),u)**.
% 0.50/0.68 549[6:Rew:533.0,14.1,529.0,14.1,530.0,14.1] || -> equal(inverse(sk_c5),sk_c8)** equal(sk_c3,sk_c1).
% 0.50/0.68 550[6:MRR:549.1,536.0] || -> equal(inverse(sk_c5),sk_c8)**.
% 0.50/0.68 557[6:Rew:533.0,15.1,529.0,15.1,530.0,15.1,529.0,15.0,530.0,15.0] || -> equal(multiply(sk_c8,sk_c1),sk_c1)** equal(sk_c3,sk_c1).
% 0.50/0.68 558[6:MRR:557.1,536.0] || -> equal(multiply(sk_c8,sk_c1),sk_c1)**.
% 0.50/0.68 559[6:Rew:533.0,13.1,529.0,13.1,530.0,13.1,530.0,13.0] || -> equal(multiply(sk_c5,sk_c8),sk_c1)** equal(sk_c3,sk_c1).
% 0.50/0.68 560[6:MRR:559.1,536.0] || -> equal(multiply(sk_c5,sk_c8),sk_c1)**.
% 0.50/0.68 609[6:SpR:558.0,49.0] || -> equal(multiply(sk_c8,multiply(sk_c1,u)),multiply(sk_c1,u))**.
% 0.50/0.68 613[6:SpR:560.0,93.0] || -> equal(multiply(inverse(sk_c5),sk_c1),sk_c8)**.
% 0.50/0.68 615[6:Rew:558.0,613.0,550.0,613.0] || -> equal(sk_c8,sk_c1)**.
% 0.50/0.68 626[6:Rew:615.0,609.0] || -> equal(multiply(sk_c1,multiply(sk_c1,u)),multiply(sk_c1,u))**.
% 0.50/0.68 632[6:Rew:537.0,626.0] || -> equal(multiply(sk_c1,u),u)**.
% 0.50/0.68 633[6:Rew:632.0,533.0] || -> equal(sk_c3,sk_c1)**.
% 0.50/0.68 641[6:MRR:633.0,536.0] || -> .
% 0.50/0.68 650[5:Spt:641.0,19.1,61.0] || equal(multiply(sk_c10,sk_c3),sk_c9)** -> .
% 0.50/0.68 651[5:Spt:641.0,19.0] || -> equal(inverse(sk_c10),sk_c9)**.
% 0.50/0.68 652[5:Rew:97.0,650.0] || equal(sk_c10,sk_c9)** -> .
% 0.50/0.68 653[0:Rew:154.0,157.0] || -> equal(multiply(u,identity),u)**.
% 0.50/0.68 654[4:Rew:97.0,26.1] || -> equal(inverse(sk_c6),sk_c8)** equal(sk_c10,sk_c9).
% 0.50/0.68 655[5:MRR:654.1,652.0] || -> equal(inverse(sk_c6),sk_c8)**.
% 0.50/0.68 656[4:Rew:97.0,25.1] || -> equal(inverse(sk_c7),sk_c6)** equal(sk_c10,sk_c9).
% 0.50/0.68 657[5:MRR:656.1,652.0] || -> equal(inverse(sk_c7),sk_c6)**.
% 0.50/0.68 658[4:Rew:97.0,23.1] || -> equal(inverse(sk_c5),sk_c8)** equal(sk_c10,sk_c9).
% 0.50/0.68 659[5:MRR:658.1,652.0] || -> equal(inverse(sk_c5),sk_c8)**.
% 0.50/0.68 663[4:Rew:97.0,27.1] || -> equal(multiply(sk_c7,sk_c8),sk_c6)** equal(sk_c10,sk_c9).
% 0.50/0.68 664[5:MRR:663.1,652.0] || -> equal(multiply(sk_c7,sk_c8),sk_c6)**.
% 0.50/0.68 665[4:Rew:97.0,24.1] || -> equal(multiply(sk_c8,sk_c9),sk_c10)** equal(sk_c10,sk_c9).
% 0.50/0.68 666[5:MRR:665.1,652.0] || -> equal(multiply(sk_c8,sk_c9),sk_c10)**.
% 0.50/0.68 667[4:Rew:97.0,22.1] || -> equal(multiply(sk_c5,sk_c8),sk_c10)** equal(sk_c10,sk_c9).
% 0.50/0.68 668[5:MRR:667.1,652.0] || -> equal(multiply(sk_c5,sk_c8),sk_c10)**.
% 0.50/0.68 677[5:SpR:651.0,93.0] || -> equal(multiply(sk_c9,multiply(sk_c10,u)),u)**.
% 0.50/0.68 687[5:SpR:659.0,93.0] || -> equal(multiply(sk_c8,multiply(sk_c5,u)),u)**.
% 0.50/0.68 696[3:SpR:73.0,93.0] || -> equal(multiply(inverse(sk_c10),identity),sk_c1)**.
% 0.50/0.68 698[5:Rew:651.0,696.0] || -> equal(multiply(sk_c9,identity),sk_c1)**.
% 0.50/0.68 699[5:Rew:653.0,698.0] || -> equal(sk_c9,sk_c1)**.
% 0.50/0.68 700[5:Rew:699.0,651.0] || -> equal(inverse(sk_c10),sk_c1)**.
% 0.50/0.68 701[5:Rew:699.0,652.0] || equal(sk_c10,sk_c1)** -> .
% 0.50/0.68 702[5:Rew:699.0,666.0] || -> equal(multiply(sk_c8,sk_c1),sk_c10)**.
% 0.50/0.68 713[5:Rew:699.0,677.0] || -> equal(multiply(sk_c1,multiply(sk_c10,u)),u)**.
% 0.50/0.68 724[2:SpR:72.0,93.0] || -> equal(multiply(inverse(sk_c10),identity),sk_c2)**.
% 0.50/0.68 726[5:Rew:700.0,724.0] || -> equal(multiply(sk_c1,identity),sk_c2)**.
% 0.50/0.68 727[5:Rew:653.0,726.0] || -> equal(sk_c2,sk_c1)**.
% 0.50/0.68 732[5:Rew:727.0,84.0] || -> equal(multiply(sk_c1,multiply(sk_c10,u)),multiply(sk_c3,u))**.
% 0.50/0.68 736[5:Rew:713.0,732.0] || -> equal(multiply(sk_c3,u),u)**.
% 0.50/0.68 742[5:SpR:664.0,93.0] || -> equal(multiply(inverse(sk_c7),sk_c6),sk_c8)**.
% 0.50/0.68 744[5:Rew:657.0,742.0] || -> equal(multiply(sk_c6,sk_c6),sk_c8)**.
% 0.50/0.68 746[5:SpR:668.0,93.0] || -> equal(multiply(inverse(sk_c5),sk_c10),sk_c8)**.
% 0.50/0.68 748[5:Rew:659.0,746.0] || -> equal(multiply(sk_c8,sk_c10),sk_c8)**.
% 0.50/0.68 749[5:SpR:702.0,49.0] || -> equal(multiply(sk_c8,multiply(sk_c1,u)),multiply(sk_c10,u))**.
% 0.50/0.68 750[5:SpR:702.0,93.0] || -> equal(multiply(inverse(sk_c8),sk_c10),sk_c1)**.
% 0.50/0.68 762[5:SpR:744.0,93.0] || -> equal(multiply(inverse(sk_c6),sk_c8),sk_c6)**.
% 0.50/0.68 764[5:Rew:655.0,762.0] || -> equal(multiply(sk_c8,sk_c8),sk_c6)**.
% 0.50/0.68 769[5:SpR:748.0,93.0] || -> equal(multiply(inverse(sk_c8),sk_c8),sk_c10)**.
% 0.50/0.68 771[5:Rew:48.0,769.0] || -> equal(sk_c10,identity)**.
% 0.50/0.68 774[5:Rew:771.0,97.0] || -> equal(multiply(identity,sk_c3),identity)**.
% 0.50/0.68 776[5:Rew:771.0,701.0] || equal(identity,sk_c1)** -> .
% 0.50/0.68 777[5:Rew:771.0,700.0] || -> equal(inverse(identity),sk_c1)**.
% 0.50/0.68 778[5:Rew:771.0,668.0] || -> equal(multiply(sk_c5,sk_c8),identity)**.
% 0.50/0.68 786[5:Rew:771.0,749.0] || -> equal(multiply(sk_c8,multiply(sk_c1,u)),multiply(identity,u))**.
% 0.50/0.68 797[5:Rew:771.0,750.0] || -> equal(multiply(inverse(sk_c8),identity),sk_c1)**.
% 0.50/0.68 799[5:Rew:777.0,156.0] || -> equal(multiply(sk_c1,u),u)**.
% 0.50/0.68 800[5:Rew:47.0,774.0] || -> equal(identity,sk_c3)**.
% 0.50/0.68 803[5:Rew:800.0,653.0] || -> equal(multiply(u,sk_c3),u)**.
% 0.50/0.68 807[5:Rew:800.0,776.0] || equal(sk_c3,sk_c1)** -> .
% 0.50/0.68 811[5:Rew:800.0,778.0] || -> equal(multiply(sk_c5,sk_c8),sk_c3)**.
% 0.50/0.68 818[5:Rew:803.0,797.0,800.0,797.0] || -> equal(inverse(sk_c8),sk_c1)**.
% 0.50/0.68 826[5:Rew:799.0,786.0,736.0,786.0,800.0,786.0] || -> equal(multiply(sk_c8,u),u)**.
% 0.50/0.68 828[5:Rew:826.0,764.0] || -> equal(sk_c6,sk_c8)**.
% 0.50/0.68 829[5:Rew:826.0,687.0] || -> equal(multiply(sk_c5,u),u)**.
% 0.50/0.68 835[5:Rew:828.0,655.0] || -> equal(inverse(sk_c8),sk_c8)**.
% 0.50/0.68 840[5:Rew:818.0,835.0] || -> equal(sk_c8,sk_c1)**.
% 0.50/0.68 842[5:Rew:840.0,811.0] || -> equal(multiply(sk_c5,sk_c1),sk_c3)**.
% 0.50/0.68 852[5:Rew:829.0,842.0] || -> equal(sk_c3,sk_c1)**.
% 0.50/0.68 853[5:MRR:852.0,807.0] || -> .
% 0.50/0.68 867[4:Spt:853.0,28.1,57.0] || equal(multiply(sk_c2,sk_c10),sk_c3)** -> .
% 0.50/0.68 868[4:Spt:853.0,28.0] || -> equal(inverse(sk_c10),sk_c9)**.
% 0.50/0.68 869[4:Rew:653.0,696.0,868.0,696.0] || -> equal(sk_c9,sk_c1)**.
% 0.50/0.68 870[4:Rew:869.0,868.0] || -> equal(inverse(sk_c10),sk_c1)**.
% 0.50/0.68 871[4:Rew:653.0,724.0,870.0,724.0] || -> equal(sk_c2,sk_c1)**.
% 0.50/0.68 874[4:Rew:871.0,867.0] || equal(multiply(sk_c1,sk_c10),sk_c3)** -> .
% 0.50/0.68 891[4:Rew:871.0,32.1] || -> equal(inverse(sk_c5),sk_c8) equal(multiply(sk_c1,sk_c10),sk_c3)**.
% 0.50/0.68 892[4:MRR:891.1,874.0] || -> equal(inverse(sk_c5),sk_c8)**.
% 0.50/0.68 907[4:Rew:871.0,31.1] || -> equal(multiply(sk_c5,sk_c8),sk_c10)** equal(multiply(sk_c1,sk_c10),sk_c3).
% 0.50/0.68 908[4:MRR:907.1,874.0] || -> equal(multiply(sk_c5,sk_c8),sk_c10)**.
% 0.50/0.68 911[4:Rew:869.0,52.4] || equal(inverse(multiply(u,v)),v)** equal(multiply(u,v),inverse(u)) equal(inverse(w),v) equal(multiply(w,v),sk_c10)** equal(multiply(v,sk_c1),sk_c10) -> .
% 0.50/0.68 949[4:SpR:908.0,93.0] || -> equal(multiply(inverse(sk_c5),sk_c10),sk_c8)**.
% 0.50/0.68 951[4:Rew:892.0,949.0] || -> equal(multiply(sk_c8,sk_c10),sk_c8)**.
% 0.50/0.68 964[4:SpR:951.0,93.0] || -> equal(multiply(inverse(sk_c8),sk_c8),sk_c10)**.
% 0.50/0.68 966[4:Rew:48.0,964.0] || -> equal(sk_c10,identity)**.
% 0.50/0.68 967[4:Rew:966.0,55.0] || -> equal(inverse(sk_c1),identity)**.
% 0.50/0.68 970[4:Rew:966.0,73.0] || -> equal(multiply(identity,sk_c1),identity)**.
% 0.50/0.68 979[4:Rew:966.0,911.3] || equal(inverse(multiply(u,v)),v)** equal(multiply(u,v),inverse(u)) equal(inverse(w),v) equal(multiply(w,v),identity)** equal(multiply(v,sk_c1),sk_c10) -> .
% 0.50/0.68 992[4:Rew:47.0,970.0] || -> equal(identity,sk_c1)**.
% 0.50/0.68 994[4:Rew:992.0,653.0] || -> equal(multiply(u,sk_c1),u)**.
% 0.50/0.68 995[4:Rew:992.0,48.0] || -> equal(multiply(inverse(u),u),sk_c1)**.
% 0.50/0.68 996[4:Rew:992.0,966.0] || -> equal(sk_c10,sk_c1)**.
% 0.50/0.68 997[4:Rew:992.0,967.0] || -> equal(inverse(sk_c1),sk_c1)**.
% 0.50/0.68 1046[4:Rew:994.0,979.4,996.0,979.4,992.0,979.3] || equal(inverse(multiply(u,v)),v)**+ equal(multiply(u,v),inverse(u)) equal(inverse(w),v) equal(multiply(w,v),sk_c1)** equal(v,sk_c1) -> .
% 0.50/0.68 1073[4:SpR:995.0,93.0] || -> equal(multiply(inverse(inverse(u)),sk_c1),u)**.
% 0.50/0.68 1077[4:Rew:994.0,1073.0] || -> equal(inverse(inverse(u)),u)**.
% 0.50/0.68 1093[4:SpR:1077.0,995.0] || -> equal(multiply(u,inverse(u)),sk_c1)**.
% 0.50/0.68 1610[4:SpL:995.0,1046.0] || equal(inverse(sk_c1),u) equal(multiply(inverse(u),u),inverse(inverse(u)))** equal(inverse(v),u) equal(multiply(v,u),sk_c1)** equal(u,sk_c1) -> .
% 0.50/0.68 1620[4:Rew:995.0,1610.1,1077.0,1610.1,997.0,1610.0] || equal(sk_c1,u) equal(sk_c1,u) equal(inverse(v),u) equal(multiply(v,u),sk_c1)** equal(u,sk_c1) -> .
% 0.50/0.68 1621[4:Obv:1620.1] || equal(inverse(u),v) equal(multiply(u,v),sk_c1)** equal(v,sk_c1) -> .
% 0.50/0.68 1782[4:SpL:1093.0,1621.1] || equal(inverse(u),inverse(u))* equal(sk_c1,sk_c1) equal(inverse(u),sk_c1) -> .
% 0.50/0.68 1804[4:Obv:1782.1] || equal(inverse(u),sk_c1)** -> .
% 0.50/0.68 1805[4:UnC:1804.0,1077.0] || -> .
% 0.50/0.68 1811[3:Spt:1805.0,1.1,55.0] || equal(inverse(sk_c1),sk_c10)** -> .
% 0.50/0.68 1812[3:Spt:1805.0,1.0] || -> equal(inverse(sk_c10),sk_c9)**.
% 0.50/0.68 1813[3:Rew:653.0,724.0,1812.0,724.0] || -> equal(sk_c2,sk_c9)**.
% 0.50/0.68 1815[3:Rew:1813.0,72.0] || -> equal(multiply(sk_c10,sk_c9),identity)**.
% 0.50/0.68 1819[3:MRR:5.1,1811.0] || -> equal(inverse(sk_c5),sk_c8)**.
% 0.50/0.68 1825[3:MRR:4.0,1811.0] || -> equal(multiply(sk_c5,sk_c8),sk_c10)**.
% 0.50/0.68 1867[3:SpR:1825.0,93.0] || -> equal(multiply(inverse(sk_c5),sk_c10),sk_c8)**.
% 0.50/0.68 1869[3:Rew:1819.0,1867.0] || -> equal(multiply(sk_c8,sk_c10),sk_c8)**.
% 0.50/0.68 1879[3:SpR:1869.0,93.0] || -> equal(multiply(inverse(sk_c8),sk_c8),sk_c10)**.
% 0.50/0.68 1881[3:Rew:48.0,1879.0] || -> equal(sk_c10,identity)**.
% 0.50/0.68 1882[3:Rew:1881.0,1812.0] || -> equal(inverse(identity),sk_c9)**.
% 0.50/0.68 1886[3:Rew:1881.0,1815.0] || -> equal(multiply(identity,sk_c9),identity)**.
% 0.50/0.68 1895[3:Rew:1881.0,52.4] || equal(inverse(multiply(u,v)),v)** equal(multiply(u,v),inverse(u)) equal(inverse(w),v) equal(multiply(w,v),sk_c10)** equal(multiply(v,sk_c9),identity) -> .
% 0.50/0.68 1907[3:Rew:47.0,1886.0] || -> equal(identity,sk_c9)**.
% 0.50/0.68 1909[3:Rew:1907.0,653.0] || -> equal(multiply(u,sk_c9),u)**.
% 0.50/0.68 1910[3:Rew:1907.0,48.0] || -> equal(multiply(inverse(u),u),sk_c9)**.
% 0.50/0.68 1911[3:Rew:1907.0,1881.0] || -> equal(sk_c10,sk_c9)**.
% 0.50/0.68 1912[3:Rew:1907.0,1882.0] || -> equal(inverse(sk_c9),sk_c9)**.
% 0.50/0.68 1960[3:Rew:1909.0,1895.4,1907.0,1895.4,1911.0,1895.3] || equal(inverse(multiply(u,v)),v)**+ equal(multiply(u,v),inverse(u)) equal(inverse(w),v) equal(multiply(w,v),sk_c9)** equal(v,sk_c9) -> .
% 0.50/0.68 1988[3:SpR:1910.0,93.0] || -> equal(multiply(inverse(inverse(u)),sk_c9),u)**.
% 0.50/0.68 1992[3:Rew:1909.0,1988.0] || -> equal(inverse(inverse(u)),u)**.
% 0.50/0.68 2008[3:SpR:1992.0,1910.0] || -> equal(multiply(u,inverse(u)),sk_c9)**.
% 0.50/0.68 2525[3:SpL:1910.0,1960.0] || equal(inverse(sk_c9),u) equal(multiply(inverse(u),u),inverse(inverse(u)))** equal(inverse(v),u) equal(multiply(v,u),sk_c9)** equal(u,sk_c9) -> .
% 0.50/0.68 2535[3:Rew:1910.0,2525.1,1992.0,2525.1,1912.0,2525.0] || equal(sk_c9,u) equal(sk_c9,u) equal(inverse(v),u) equal(multiply(v,u),sk_c9)** equal(u,sk_c9) -> .
% 0.50/0.68 2536[3:Obv:2535.1] || equal(inverse(u),v) equal(multiply(u,v),sk_c9)** equal(v,sk_c9) -> .
% 0.50/0.68 2697[3:SpL:2008.0,2536.1] || equal(inverse(u),inverse(u))* equal(sk_c9,sk_c9) equal(inverse(u),sk_c9) -> .
% 0.50/0.68 2719[3:Obv:2697.1] || equal(inverse(u),sk_c9)** -> .
% 0.50/0.68 2720[3:UnC:2719.0,1992.0] || -> .
% 0.50/0.68 2726[2:Spt:2720.0,37.1,53.0] || equal(inverse(sk_c2),sk_c10)** -> .
% 0.50/0.68 2727[2:Spt:2720.0,37.0] || -> equal(inverse(sk_c10),sk_c9)**.
% 0.50/0.68 2730[2:MRR:41.1,2726.0] || -> equal(inverse(sk_c5),sk_c8)**.
% 0.50/0.68 2731[2:MRR:38.1,2726.0] || -> equal(inverse(sk_c4),sk_c10)**.
% 0.50/0.68 2735[2:MRR:40.0,2726.0] || -> equal(multiply(sk_c5,sk_c8),sk_c10)**.
% 0.50/0.68 2736[2:MRR:39.0,2726.0] || -> equal(multiply(sk_c4,sk_c9),sk_c10)**.
% 0.50/0.68 2763[2:SpR:2735.0,93.0] || -> equal(multiply(inverse(sk_c5),sk_c10),sk_c8)**.
% 0.50/0.68 2765[2:Rew:2730.0,2763.0] || -> equal(multiply(sk_c8,sk_c10),sk_c8)**.
% 0.50/0.68 2767[2:SpR:2736.0,93.0] || -> equal(multiply(inverse(sk_c4),sk_c10),sk_c9)**.
% 0.50/0.68 2769[2:Rew:2731.0,2767.0] || -> equal(multiply(sk_c10,sk_c10),sk_c9)**.
% 0.50/0.68 2775[2:SpR:2765.0,93.0] || -> equal(multiply(inverse(sk_c8),sk_c8),sk_c10)**.
% 0.50/0.68 2777[2:Rew:48.0,2775.0] || -> equal(sk_c10,identity)**.
% 0.50/0.68 2778[2:Rew:2777.0,2727.0] || -> equal(inverse(identity),sk_c9)**.
% 0.50/0.68 2787[2:Rew:2777.0,52.3] || equal(inverse(multiply(u,v)),v)** equal(multiply(u,v),inverse(u)) equal(inverse(w),v) equal(multiply(w,v),identity)** equal(multiply(v,sk_c9),sk_c10) -> .
% 0.50/0.68 2796[2:Rew:2777.0,2769.0] || -> equal(multiply(identity,identity),sk_c9)**.
% 0.50/0.68 2798[2:Rew:47.0,2796.0] || -> equal(identity,sk_c9)**.
% 0.50/0.68 2799[2:Rew:2798.0,653.0] || -> equal(multiply(u,sk_c9),u)**.
% 0.50/0.68 2801[2:Rew:2798.0,48.0] || -> equal(multiply(inverse(u),u),sk_c9)**.
% 0.50/0.68 2802[2:Rew:2798.0,2777.0] || -> equal(sk_c10,sk_c9)**.
% 0.50/0.68 2803[2:Rew:2798.0,2778.0] || -> equal(inverse(sk_c9),sk_c9)**.
% 0.50/0.68 2845[2:Rew:2799.0,2787.4,2802.0,2787.4,2798.0,2787.3] || equal(inverse(multiply(u,v)),v)**+ equal(multiply(u,v),inverse(u)) equal(inverse(w),v) equal(multiply(w,v),sk_c9)** equal(v,sk_c9) -> .
% 0.50/0.68 2879[2:SpR:154.0,2799.0] || -> equal(multiply(u,sk_c9),inverse(inverse(u)))**.
% 0.50/0.68 2880[0:SpR:154.0,93.0] || -> equal(multiply(u,multiply(inverse(u),v)),v)**.
% 0.50/0.68 2881[2:SpR:154.0,2801.0] || -> equal(multiply(u,inverse(u)),sk_c9)**.
% 0.50/0.68 2884[2:Rew:2799.0,2879.0] || -> equal(inverse(inverse(u)),u)**.
% 0.50/0.68 3218[2:SpL:2801.0,2845.0] || equal(inverse(sk_c9),u) equal(multiply(inverse(u),u),inverse(inverse(u)))** equal(inverse(v),u) equal(multiply(v,u),sk_c9)** equal(u,sk_c9) -> .
% 0.50/0.68 3227[2:Rew:2801.0,3218.1,2884.0,3218.1,2803.0,3218.0] || equal(sk_c9,u) equal(sk_c9,u) equal(inverse(v),u) equal(multiply(v,u),sk_c9)** equal(u,sk_c9) -> .
% 0.50/0.68 3228[2:Obv:3227.1] || equal(inverse(u),v) equal(multiply(u,v),sk_c9)** equal(v,sk_c9) -> .
% 0.50/0.68 3535[2:SpL:2881.0,3228.1] || equal(inverse(u),inverse(u))* equal(sk_c9,sk_c9) equal(inverse(u),sk_c9) -> .
% 0.50/0.68 3557[2:Obv:3535.1] || equal(inverse(u),sk_c9)** -> .
% 0.50/0.68 3558[2:UnC:3557.0,2884.0] || -> .
% 0.50/0.68 3564[1:Spt:3558.0,50.3,50.4,50.5,50.8,50.10,50.11] || equal(inverse(u),sk_c10) equal(inverse(v),sk_c10) equal(inverse(sk_c10),sk_c9) equal(multiply(u,sk_c10),w)* equal(multiply(v,sk_c9),sk_c10)** equal(multiply(sk_c10,w),sk_c9)** -> .
% 0.50/0.68 3567[1:EqR:3564.3] || equal(inverse(u),sk_c10) equal(inverse(v),sk_c10) equal(inverse(sk_c10),sk_c9) equal(multiply(v,sk_c9),sk_c10)** equal(multiply(sk_c10,multiply(u,sk_c10)),sk_c9)** -> .
% 0.50/0.68 3569[2:Spt:1.1] || -> equal(inverse(sk_c1),sk_c10)**.
% 0.50/0.68 3573[3:Spt:37.1] || -> equal(inverse(sk_c2),sk_c10)**.
% 0.50/0.68 3575[3:SpR:3573.0,2880.0] || -> equal(multiply(sk_c2,multiply(sk_c10,u)),u)**.
% 0.50/0.68 3577[4:Spt:28.1] || -> equal(multiply(sk_c2,sk_c10),sk_c3)**.
% 0.50/0.68 3578[4:SpR:3577.0,49.0] || -> equal(multiply(sk_c2,multiply(sk_c10,u)),multiply(sk_c3,u))**.
% 0.50/0.68 3579[4:SpR:3577.0,93.0] || -> equal(multiply(inverse(sk_c2),sk_c3),sk_c10)**.
% 0.50/0.68 3581[4:SpL:3577.0,3564.3] || equal(inverse(sk_c2),sk_c10) equal(inverse(u),sk_c10) equal(inverse(sk_c10),sk_c9) equal(sk_c3,v) equal(multiply(u,sk_c9),sk_c10)** equal(multiply(sk_c10,v),sk_c9)** -> .
% 0.50/0.68 3582[4:Rew:3573.0,3579.0] || -> equal(multiply(sk_c10,sk_c3),sk_c10)**.
% 0.50/0.68 3583[4:Rew:3582.0,21.1] || -> equal(multiply(sk_c4,sk_c9),sk_c10)** equal(sk_c10,sk_c9).
% 0.50/0.68 3584[4:Rew:3582.0,22.1] || -> equal(multiply(sk_c5,sk_c8),sk_c10)** equal(sk_c10,sk_c9).
% 0.50/0.68 3585[4:Rew:3582.0,24.1] || -> equal(multiply(sk_c8,sk_c9),sk_c10)** equal(sk_c10,sk_c9).
% 0.50/0.68 3586[4:Rew:3582.0,27.1] || -> equal(multiply(sk_c7,sk_c8),sk_c6)** equal(sk_c10,sk_c9).
% 0.50/0.68 3587[4:Rew:3582.0,19.1] || -> equal(inverse(sk_c10),sk_c9)** equal(sk_c10,sk_c9).
% 0.50/0.68 3588[4:Rew:3582.0,20.1] || -> equal(inverse(sk_c4),sk_c10)** equal(sk_c10,sk_c9).
% 0.50/0.68 3589[4:Rew:3582.0,23.1] || -> equal(inverse(sk_c5),sk_c8)** equal(sk_c10,sk_c9).
% 0.50/0.68 3590[4:Rew:3582.0,25.1] || -> equal(inverse(sk_c7),sk_c6)** equal(sk_c10,sk_c9).
% 0.50/0.68 3591[4:Rew:3582.0,26.1] || -> equal(inverse(sk_c6),sk_c8)** equal(sk_c10,sk_c9).
% 0.50/0.68 3592[4:Rew:3587.1,10.1] || -> equal(inverse(sk_c10),sk_c9) equal(multiply(sk_c1,sk_c9),sk_c9)**.
% 0.50/0.68 3593[4:Rew:3588.1,11.1] || -> equal(inverse(sk_c4),sk_c10) equal(multiply(sk_c1,sk_c9),sk_c9)**.
% 0.50/0.68 3597[4:Rew:3583.1,12.1] || -> equal(multiply(sk_c4,sk_c9),sk_c10)** equal(multiply(sk_c1,sk_c9),sk_c9).
% 0.50/0.68 3601[4:Rew:3575.0,3578.0] || -> equal(multiply(sk_c3,u),u)**.
% 0.50/0.68 3602[4:Rew:3573.0,3581.0] || equal(sk_c10,sk_c10) equal(inverse(u),sk_c10) equal(inverse(sk_c10),sk_c9) equal(sk_c3,v) equal(multiply(u,sk_c9),sk_c10)** equal(multiply(sk_c10,v),sk_c9)** -> .
% 0.50/0.68 3603[4:Obv:3602.0] || equal(inverse(u),sk_c10) equal(inverse(sk_c10),sk_c9) equal(sk_c3,v) equal(multiply(u,sk_c9),sk_c10)** equal(multiply(sk_c10,v),sk_c9)** -> .
% 0.50/0.68 3605[4:SpR:3582.0,93.0] || -> equal(multiply(inverse(sk_c10),sk_c10),sk_c3)**.
% 0.50/0.68 3607[4:Rew:48.0,3605.0] || -> equal(identity,sk_c3)**.
% 0.50/0.68 3609[4:Rew:3607.0,653.0] || -> equal(multiply(u,sk_c3),u)**.
% 0.50/0.68 3611[4:Rew:3607.0,48.0] || -> equal(multiply(inverse(u),u),sk_c3)**.
% 0.50/0.68 3628[4:SpR:3611.0,93.0] || -> equal(multiply(inverse(inverse(u)),sk_c3),u)**.
% 0.50/0.68 3629[4:SpR:3611.0,3609.0] || -> equal(inverse(sk_c3),sk_c3)**.
% 0.50/0.68 3632[4:SpR:3569.0,3611.0] || -> equal(multiply(sk_c10,sk_c1),sk_c3)**.
% 0.50/0.68 3637[4:Rew:3609.0,3628.0] || -> equal(inverse(inverse(u)),u)**.
% 0.50/0.68 3647[4:SpR:3632.0,93.0] || -> equal(multiply(inverse(sk_c10),sk_c3),sk_c1)**.
% 0.50/0.68 3649[4:Rew:3609.0,3647.0] || -> equal(inverse(sk_c10),sk_c1)**.
% 0.50/0.68 3652[4:Rew:3649.0,3603.1] || equal(inverse(u),sk_c10) equal(sk_c9,sk_c1) equal(sk_c3,v) equal(multiply(u,sk_c9),sk_c10)** equal(multiply(sk_c10,v),sk_c9)** -> .
% 0.50/0.68 3653[4:Rew:3649.0,3592.0] || -> equal(sk_c9,sk_c1) equal(multiply(sk_c1,sk_c9),sk_c9)**.
% 0.50/0.68 3654[4:Rew:3649.0,3587.0] || -> equal(sk_c9,sk_c1) equal(sk_c10,sk_c9)**.
% 0.50/0.68 3658[4:Rew:3654.0,3585.0] || -> equal(multiply(sk_c8,sk_c1),sk_c10)** equal(sk_c10,sk_c9).
% 0.50/0.68 3659[4:Rew:3653.0,3597.0] || -> equal(multiply(sk_c4,sk_c1),sk_c10)** equal(multiply(sk_c1,sk_c9),sk_c9).
% 0.50/0.68 3664[4:SpR:3649.0,3611.0] || -> equal(multiply(sk_c1,sk_c10),sk_c3)**.
% 0.50/0.68 3677[5:Spt:3654.1] || -> equal(sk_c10,sk_c9)**.
% 0.50/0.68 3678[5:Rew:3677.0,3569.0] || -> equal(inverse(sk_c1),sk_c9)**.
% 0.50/0.68 3679[5:Rew:3677.0,3632.0] || -> equal(multiply(sk_c9,sk_c1),sk_c3)**.
% 0.50/0.68 3680[5:Rew:3677.0,3649.0] || -> equal(inverse(sk_c9),sk_c1)**.
% 0.50/0.68 3683[5:Rew:3677.0,3593.0] || -> equal(inverse(sk_c4),sk_c9) equal(multiply(sk_c1,sk_c9),sk_c9)**.
% 0.50/0.68 3685[5:Rew:3677.0,3659.0] || -> equal(multiply(sk_c4,sk_c1),sk_c9)** equal(multiply(sk_c1,sk_c9),sk_c9).
% 0.50/0.68 3690[5:Rew:3677.0,3652.0] || equal(inverse(u),sk_c9) equal(sk_c9,sk_c1) equal(sk_c3,v) equal(multiply(u,sk_c9),sk_c10)** equal(multiply(sk_c10,v),sk_c9)** -> .
% 0.50/0.68 3692[5:Rew:3677.0,3664.0] || -> equal(multiply(sk_c1,sk_c9),sk_c3)**.
% 0.50/0.68 3693[5:Rew:3692.0,3653.1] || -> equal(sk_c9,sk_c1) equal(sk_c3,sk_c9)**.
% 0.50/0.68 3698[5:Rew:3692.0,3683.1] || -> equal(inverse(sk_c4),sk_c9)** equal(sk_c3,sk_c9).
% 0.50/0.68 3700[5:Rew:3692.0,3685.1] || -> equal(multiply(sk_c4,sk_c1),sk_c9)** equal(sk_c3,sk_c9).
% 0.50/0.68 3702[5:Rew:3677.0,3690.4,3677.0,3690.3] || equal(inverse(u),sk_c9) equal(sk_c9,sk_c1) equal(sk_c3,v) equal(multiply(u,sk_c9),sk_c9)** equal(multiply(sk_c9,v),sk_c9)** -> .
% 0.50/0.68 3722[6:Spt:3693.1] || -> equal(sk_c3,sk_c9)**.
% 0.50/0.68 3724[6:Rew:3722.0,3601.0] || -> equal(multiply(sk_c9,u),u)**.
% 0.50/0.68 3725[6:Rew:3722.0,3609.0] || -> equal(multiply(u,sk_c9),u)**.
% 0.50/0.68 3727[6:Rew:3722.0,3629.0] || -> equal(inverse(sk_c9),sk_c9)**.
% 0.50/0.68 3732[6:Rew:3722.0,3702.2] || equal(inverse(u),sk_c9) equal(sk_c9,sk_c1) equal(sk_c9,v) equal(multiply(u,sk_c9),sk_c9)** equal(multiply(sk_c9,v),sk_c9)** -> .
% 0.50/0.68 3733[6:Rew:3680.0,3727.0] || -> equal(sk_c9,sk_c1)**.
% 0.50/0.68 3735[6:Rew:3733.0,3678.0] || -> equal(inverse(sk_c1),sk_c1)**.
% 0.50/0.68 3744[6:Rew:3733.0,3724.0] || -> equal(multiply(sk_c1,u),u)**.
% 0.50/0.68 3745[6:Rew:3733.0,3725.0] || -> equal(multiply(u,sk_c1),u)**.
% 0.50/0.68 3750[6:Rew:3744.0,3732.4,3733.0,3732.4,3745.0,3732.3,3733.0,3732.3,3733.0,3732.2,3733.0,3732.1,3733.0,3732.0] || equal(inverse(u),sk_c1)** equal(sk_c1,sk_c1) equal(sk_c1,v)* equal(u,sk_c1) equal(v,sk_c1)* -> .
% 0.50/0.68 3751[6:Obv:3750.2] || equal(inverse(u),sk_c1)** equal(u,sk_c1) equal(v,sk_c1)* -> .
% 0.50/0.68 3752[6:Con:3751.2] || equal(inverse(u),sk_c1)** equal(u,sk_c1) -> .
% 0.50/0.68 3801[6:SpL:3735.0,3752.0] || equal(sk_c1,sk_c1)* equal(sk_c1,sk_c1)* -> .
% 0.50/0.68 3803[6:Obv:3801.1] || -> .
% 0.50/0.68 3804[6:Spt:3803.0,3693.1,3722.0] || equal(sk_c3,sk_c9)** -> .
% 0.50/0.68 3805[6:Spt:3803.0,3693.0] || -> equal(sk_c9,sk_c1)**.
% 0.50/0.68 3807[6:Rew:3805.0,3680.0] || -> equal(inverse(sk_c1),sk_c1)**.
% 0.50/0.68 3809[6:Rew:3805.0,3804.0] || equal(sk_c3,sk_c1)** -> .
% 0.50/0.68 3810[6:Rew:3805.0,3679.0] || -> equal(multiply(sk_c1,sk_c1),sk_c3)**.
% 0.50/0.68 3818[6:Rew:3805.0,3698.1,3805.0,3698.0] || -> equal(inverse(sk_c4),sk_c1)** equal(sk_c3,sk_c1).
% 0.50/0.68 3819[6:MRR:3818.1,3809.0] || -> equal(inverse(sk_c4),sk_c1)**.
% 0.50/0.68 3826[6:Rew:3805.0,3700.1,3805.0,3700.0] || -> equal(multiply(sk_c4,sk_c1),sk_c1)** equal(sk_c3,sk_c1).
% 0.50/0.68 3827[6:MRR:3826.1,3809.0] || -> equal(multiply(sk_c4,sk_c1),sk_c1)**.
% 0.50/0.68 3879[6:SpR:3819.0,3637.0] || -> equal(inverse(sk_c1),sk_c4)**.
% 0.50/0.68 3881[6:Rew:3807.0,3879.0] || -> equal(sk_c4,sk_c1)**.
% 0.50/0.68 3883[6:Rew:3881.0,3827.0] || -> equal(multiply(sk_c1,sk_c1),sk_c1)**.
% 0.50/0.68 3884[6:Rew:3810.0,3883.0] || -> equal(sk_c3,sk_c1)**.
% 0.50/0.68 3885[6:MRR:3884.0,3809.0] || -> .
% 0.50/0.68 3888[5:Spt:3885.0,3654.1,3677.0] || equal(sk_c10,sk_c9)** -> .
% 0.50/0.68 3889[5:Spt:3885.0,3654.0] || -> equal(sk_c9,sk_c1)**.
% 0.50/0.68 3890[5:Rew:3889.0,3888.0] || equal(sk_c10,sk_c1)** -> .
% 0.50/0.68 3893[5:Rew:3889.0,3589.1] || -> equal(inverse(sk_c5),sk_c8)** equal(sk_c10,sk_c1).
% 0.50/0.68 3894[5:MRR:3893.1,3890.0] || -> equal(inverse(sk_c5),sk_c8)**.
% 0.50/0.68 3895[5:Rew:3889.0,3590.1] || -> equal(inverse(sk_c7),sk_c6)** equal(sk_c10,sk_c1).
% 0.50/0.68 3896[5:MRR:3895.1,3890.0] || -> equal(inverse(sk_c7),sk_c6)**.
% 0.50/0.68 3897[5:Rew:3889.0,3591.1] || -> equal(inverse(sk_c6),sk_c8)** equal(sk_c10,sk_c1).
% 0.50/0.68 3898[5:MRR:3897.1,3890.0] || -> equal(inverse(sk_c6),sk_c8)**.
% 0.50/0.68 3899[5:Rew:3889.0,3584.1] || -> equal(multiply(sk_c5,sk_c8),sk_c10)** equal(sk_c10,sk_c1).
% 0.50/0.68 3900[5:MRR:3899.1,3890.0] || -> equal(multiply(sk_c5,sk_c8),sk_c10)**.
% 0.50/0.68 3901[5:Rew:3889.0,3586.1] || -> equal(multiply(sk_c7,sk_c8),sk_c6)** equal(sk_c10,sk_c1).
% 0.50/0.68 3902[5:MRR:3901.1,3890.0] || -> equal(multiply(sk_c7,sk_c8),sk_c6)**.
% 0.50/0.68 3905[5:Rew:3889.0,3658.1] || -> equal(multiply(sk_c8,sk_c1),sk_c10)** equal(sk_c10,sk_c1).
% 0.50/0.68 3906[5:MRR:3905.1,3890.0] || -> equal(multiply(sk_c8,sk_c1),sk_c10)**.
% 0.50/0.68 3936[5:SpR:3894.0,2880.0] || -> equal(multiply(sk_c5,multiply(sk_c8,u)),u)**.
% 0.50/0.68 3937[5:SpR:3894.0,3637.0] || -> equal(inverse(sk_c8),sk_c5)**.
% 0.50/0.68 3942[5:SpR:3896.0,3637.0] || -> equal(inverse(sk_c6),sk_c7)**.
% 0.50/0.68 3944[5:Rew:3898.0,3942.0] || -> equal(sk_c7,sk_c8)**.
% 0.50/0.68 3945[5:Rew:3944.0,3896.0] || -> equal(inverse(sk_c8),sk_c6)**.
% 0.50/0.68 3946[5:Rew:3944.0,3902.0] || -> equal(multiply(sk_c8,sk_c8),sk_c6)**.
% 0.50/0.68 3947[5:Rew:3937.0,3945.0] || -> equal(sk_c6,sk_c5)**.
% 0.50/0.68 3949[5:Rew:3947.0,3946.0] || -> equal(multiply(sk_c8,sk_c8),sk_c5)**.
% 0.50/0.68 3954[5:SpR:3900.0,49.0] || -> equal(multiply(sk_c5,multiply(sk_c8,u)),multiply(sk_c10,u))**.
% 0.50/0.68 3958[5:Rew:3936.0,3954.0] || -> equal(multiply(sk_c10,u),u)**.
% 0.50/0.68 3965[5:Rew:3958.0,3632.0] || -> equal(sk_c3,sk_c1)**.
% 0.50/0.68 3969[5:Rew:3965.0,3609.0] || -> equal(multiply(u,sk_c1),u)**.
% 0.50/0.68 3978[5:Rew:3969.0,3906.0] || -> equal(sk_c10,sk_c8)**.
% 0.50/0.68 3979[5:Rew:3978.0,3649.0] || -> equal(inverse(sk_c8),sk_c1)**.
% 0.50/0.68 3981[5:Rew:3978.0,3890.0] || equal(sk_c8,sk_c1)** -> .
% 0.50/0.68 3984[5:Rew:3978.0,3958.0] || -> equal(multiply(sk_c8,u),u)**.
% 0.50/0.68 3985[5:Rew:3937.0,3979.0] || -> equal(sk_c5,sk_c1)**.
% 0.50/0.68 3991[5:Rew:3985.0,3949.0] || -> equal(multiply(sk_c8,sk_c8),sk_c1)**.
% 0.50/0.68 3995[5:Rew:3984.0,3991.0] || -> equal(sk_c8,sk_c1)**.
% 0.50/0.68 3996[5:MRR:3995.0,3981.0] || -> .
% 0.50/0.68 4005[4:Spt:3996.0,28.1,3577.0] || equal(multiply(sk_c2,sk_c10),sk_c3)** -> .
% 0.50/0.68 4006[4:Spt:3996.0,28.0] || -> equal(inverse(sk_c10),sk_c9)**.
% 0.50/0.68 4009[4:MRR:32.1,4005.0] || -> equal(inverse(sk_c5),sk_c8)**.
% 0.50/0.68 4010[4:MRR:29.1,4005.0] || -> equal(inverse(sk_c4),sk_c10)**.
% 0.50/0.68 4013[4:MRR:31.1,4005.0] || -> equal(multiply(sk_c5,sk_c8),sk_c10)**.
% 0.50/0.68 4014[4:MRR:30.1,4005.0] || -> equal(multiply(sk_c4,sk_c9),sk_c10)**.
% 0.50/0.68 4015[4:Rew:4006.0,3567.2] || equal(inverse(u),sk_c10) equal(inverse(v),sk_c10) equal(sk_c9,sk_c9) equal(multiply(v,sk_c9),sk_c10)** equal(multiply(sk_c10,multiply(u,sk_c10)),sk_c9)** -> .
% 0.50/0.68 4016[4:Obv:4015.2] || equal(inverse(u),sk_c10) equal(inverse(v),sk_c10) equal(multiply(v,sk_c9),sk_c10)** equal(multiply(sk_c10,multiply(u,sk_c10)),sk_c9)** -> .
% 0.50/0.69 4022[4:SpR:4006.0,2880.0] || -> equal(multiply(sk_c10,multiply(sk_c9,u)),u)**.
% 0.50/0.69 4037[4:SpR:4009.0,2880.0] || -> equal(multiply(sk_c5,multiply(sk_c8,u)),u)**.
% 0.50/0.69 4039[4:SpR:4010.0,93.0] || -> equal(multiply(sk_c10,multiply(sk_c4,u)),u)**.
% 0.50/0.69 4049[4:SpR:4013.0,49.0] || -> equal(multiply(sk_c5,multiply(sk_c8,u)),multiply(sk_c10,u))**.
% 0.50/0.69 4053[4:Rew:4037.0,4049.0] || -> equal(multiply(sk_c10,u),u)**.
% 0.50/0.69 4054[4:Rew:4053.0,4039.0] || -> equal(multiply(sk_c4,u),u)**.
% 0.50/0.69 4055[4:Rew:4053.0,4022.0] || -> equal(multiply(sk_c9,u),u)**.
% 0.50/0.69 4058[4:Rew:4053.0,4016.3] || equal(inverse(u),sk_c10) equal(inverse(v),sk_c10) equal(multiply(v,sk_c9),sk_c10)** equal(multiply(u,sk_c10),sk_c9)** -> .
% 0.50/0.69 4066[4:Rew:4054.0,4014.0] || -> equal(sk_c10,sk_c9)**.
% 0.50/0.69 4067[4:Rew:4066.0,4006.0] || -> equal(inverse(sk_c9),sk_c9)**.
% 0.50/0.69 4068[4:Rew:4066.0,3569.0] || -> equal(inverse(sk_c1),sk_c9)**.
% 0.50/0.69 4104[4:Rew:4066.0,4058.3,4066.0,4058.2,4066.0,4058.1,4066.0,4058.0] || equal(inverse(u),sk_c9) equal(inverse(v),sk_c9) equal(multiply(v,sk_c9),sk_c9)** equal(multiply(u,sk_c9),sk_c9)** -> .
% 0.50/0.69 4105[4:Con:4104.0] || equal(inverse(u),sk_c9) equal(multiply(u,sk_c9),sk_c9)** -> .
% 0.50/0.69 4155[4:SpR:4054.0,653.0] || -> equal(identity,sk_c4)**.
% 0.50/0.69 4159[4:Rew:4155.0,653.0] || -> equal(multiply(u,sk_c4),u)**.
% 0.50/0.69 4160[4:Rew:4155.0,48.0] || -> equal(multiply(inverse(u),u),sk_c4)**.
% 0.50/0.69 4177[4:SpR:4067.0,4160.0] || -> equal(multiply(sk_c9,sk_c9),sk_c4)**.
% 0.50/0.69 4178[4:SpR:4068.0,4160.0] || -> equal(multiply(sk_c9,sk_c1),sk_c4)**.
% 0.50/0.69 4183[4:Rew:4055.0,4177.0] || -> equal(sk_c4,sk_c9)**.
% 0.50/0.69 4188[4:Rew:4183.0,4159.0] || -> equal(multiply(u,sk_c9),u)**.
% 0.50/0.69 4190[4:Rew:4055.0,4178.0] || -> equal(sk_c4,sk_c1)**.
% 0.50/0.69 4191[4:Rew:4183.0,4190.0] || -> equal(sk_c9,sk_c1)**.
% 0.50/0.69 4195[4:Rew:4191.0,4067.0] || -> equal(inverse(sk_c1),sk_c1)**.
% 0.50/0.69 4202[4:Rew:4191.0,4105.0] || equal(inverse(u),sk_c1) equal(multiply(u,sk_c9),sk_c9)** -> .
% 0.50/0.69 4216[4:Rew:4191.0,4188.0] || -> equal(multiply(u,sk_c1),u)**.
% 0.50/0.69 4222[4:Rew:4216.0,4202.1,4191.0,4202.1] || equal(inverse(u),sk_c1)** equal(u,sk_c1) -> .
% 0.50/0.69 4259[4:SpL:4195.0,4222.0] || equal(sk_c1,sk_c1)* equal(sk_c1,sk_c1)* -> .
% 0.50/0.69 4260[4:Obv:4259.1] || -> .
% 0.50/0.69 4261[3:Spt:4260.0,37.1,3573.0] || equal(inverse(sk_c2),sk_c10)** -> .
% 0.50/0.69 4262[3:Spt:4260.0,37.0] || -> equal(inverse(sk_c10),sk_c9)**.
% 0.50/0.69 4265[3:MRR:41.1,4261.0] || -> equal(inverse(sk_c5),sk_c8)**.
% 0.50/0.69 4266[3:MRR:38.1,4261.0] || -> equal(inverse(sk_c4),sk_c10)**.
% 0.50/0.69 4269[3:MRR:40.0,4261.0] || -> equal(multiply(sk_c5,sk_c8),sk_c10)**.
% 0.50/0.69 4270[3:MRR:39.0,4261.0] || -> equal(multiply(sk_c4,sk_c9),sk_c10)**.
% 0.50/0.69 4271[3:Rew:4262.0,3567.2] || equal(inverse(u),sk_c10) equal(inverse(v),sk_c10) equal(sk_c9,sk_c9) equal(multiply(v,sk_c9),sk_c10)** equal(multiply(sk_c10,multiply(u,sk_c10)),sk_c9)** -> .
% 0.50/0.69 4272[3:Obv:4271.2] || equal(inverse(u),sk_c10) equal(inverse(v),sk_c10) equal(multiply(v,sk_c9),sk_c10)** equal(multiply(sk_c10,multiply(u,sk_c10)),sk_c9)** -> .
% 0.50/0.69 4278[3:SpR:4262.0,2880.0] || -> equal(multiply(sk_c10,multiply(sk_c9,u)),u)**.
% 0.50/0.69 4290[3:SpR:4265.0,2880.0] || -> equal(multiply(sk_c5,multiply(sk_c8,u)),u)**.
% 0.50/0.69 4292[3:SpR:4266.0,93.0] || -> equal(multiply(sk_c10,multiply(sk_c4,u)),u)**.
% 0.50/0.69 4302[3:SpR:4269.0,49.0] || -> equal(multiply(sk_c5,multiply(sk_c8,u)),multiply(sk_c10,u))**.
% 0.50/0.69 4306[3:Rew:4290.0,4302.0] || -> equal(multiply(sk_c10,u),u)**.
% 0.50/0.69 4307[3:Rew:4306.0,4292.0] || -> equal(multiply(sk_c4,u),u)**.
% 0.50/0.69 4308[3:Rew:4306.0,4278.0] || -> equal(multiply(sk_c9,u),u)**.
% 0.50/0.69 4311[3:Rew:4306.0,4272.3] || equal(inverse(u),sk_c10) equal(inverse(v),sk_c10) equal(multiply(v,sk_c9),sk_c10)** equal(multiply(u,sk_c10),sk_c9)** -> .
% 0.50/0.69 4317[3:Rew:4307.0,4270.0] || -> equal(sk_c10,sk_c9)**.
% 0.50/0.69 4318[3:Rew:4317.0,4262.0] || -> equal(inverse(sk_c9),sk_c9)**.
% 0.50/0.69 4319[3:Rew:4317.0,3569.0] || -> equal(inverse(sk_c1),sk_c9)**.
% 0.50/0.69 4353[3:Rew:4317.0,4311.3,4317.0,4311.2,4317.0,4311.1,4317.0,4311.0] || equal(inverse(u),sk_c9) equal(inverse(v),sk_c9) equal(multiply(v,sk_c9),sk_c9)** equal(multiply(u,sk_c9),sk_c9)** -> .
% 0.50/0.69 4354[3:Con:4353.0] || equal(inverse(u),sk_c9) equal(multiply(u,sk_c9),sk_c9)** -> .
% 0.50/0.69 4399[3:SpR:4307.0,653.0] || -> equal(identity,sk_c4)**.
% 0.50/0.69 4402[3:Rew:4399.0,653.0] || -> equal(multiply(u,sk_c4),u)**.
% 0.50/0.69 4406[3:Rew:4399.0,48.0] || -> equal(multiply(inverse(u),u),sk_c4)**.
% 0.50/0.69 4427[3:SpR:4318.0,4406.0] || -> equal(multiply(sk_c9,sk_c9),sk_c4)**.
% 0.50/0.69 4428[3:SpR:4319.0,4406.0] || -> equal(multiply(sk_c9,sk_c1),sk_c4)**.
% 0.50/0.69 4432[3:Rew:4308.0,4427.0] || -> equal(sk_c4,sk_c9)**.
% 0.50/0.69 4437[3:Rew:4432.0,4402.0] || -> equal(multiply(u,sk_c9),u)**.
% 0.50/0.69 4439[3:Rew:4308.0,4428.0] || -> equal(sk_c4,sk_c1)**.
% 0.50/0.69 4440[3:Rew:4432.0,4439.0] || -> equal(sk_c9,sk_c1)**.
% 0.50/0.69 4444[3:Rew:4440.0,4318.0] || -> equal(inverse(sk_c1),sk_c1)**.
% 0.50/0.69 4450[3:Rew:4440.0,4354.0] || equal(inverse(u),sk_c1) equal(multiply(u,sk_c9),sk_c9)** -> .
% 0.50/0.69 4463[3:Rew:4440.0,4437.0] || -> equal(multiply(u,sk_c1),u)**.
% 0.50/0.69 4469[3:Rew:4463.0,4450.1,4440.0,4450.1] || equal(inverse(u),sk_c1)** equal(u,sk_c1) -> .
% 0.50/0.69 4516[3:SpL:4444.0,4469.0] || equal(sk_c1,sk_c1)* equal(sk_c1,sk_c1)* -> .
% 0.50/0.69 4518[3:Obv:4516.1] || -> .
% 0.50/0.69 4519[2:Spt:4518.0,1.1,3569.0] || equal(inverse(sk_c1),sk_c10)** -> .
% 0.50/0.69 4520[2:Spt:4518.0,1.0] || -> equal(inverse(sk_c10),sk_c9)**.
% 0.50/0.69 4523[2:MRR:5.1,4519.0] || -> equal(inverse(sk_c5),sk_c8)**.
% 0.50/0.69 4524[2:MRR:2.1,4519.0] || -> equal(inverse(sk_c4),sk_c10)**.
% 0.50/0.69 4527[2:MRR:4.0,4519.0] || -> equal(multiply(sk_c5,sk_c8),sk_c10)**.
% 0.50/0.69 4528[2:MRR:3.0,4519.0] || -> equal(multiply(sk_c4,sk_c9),sk_c10)**.
% 0.50/0.69 4529[2:Rew:4520.0,3567.2] || equal(inverse(u),sk_c10) equal(inverse(v),sk_c10) equal(sk_c9,sk_c9) equal(multiply(v,sk_c9),sk_c10)** equal(multiply(sk_c10,multiply(u,sk_c10)),sk_c9)** -> .
% 0.50/0.69 4530[2:Obv:4529.2] || equal(inverse(u),sk_c10) equal(inverse(v),sk_c10) equal(multiply(v,sk_c9),sk_c10)** equal(multiply(sk_c10,multiply(u,sk_c10)),sk_c9)** -> .
% 0.50/0.69 4535[2:SpR:4520.0,93.0] || -> equal(multiply(sk_c9,multiply(sk_c10,u)),u)**.
% 0.50/0.69 4545[2:SpR:4523.0,2880.0] || -> equal(multiply(sk_c5,multiply(sk_c8,u)),u)**.
% 0.50/0.69 4547[2:SpR:4524.0,93.0] || -> equal(multiply(sk_c10,multiply(sk_c4,u)),u)**.
% 0.50/0.69 4557[2:SpR:4527.0,49.0] || -> equal(multiply(sk_c5,multiply(sk_c8,u)),multiply(sk_c10,u))**.
% 0.50/0.69 4561[2:Rew:4545.0,4557.0] || -> equal(multiply(sk_c10,u),u)**.
% 0.50/0.69 4562[2:Rew:4561.0,4547.0] || -> equal(multiply(sk_c4,u),u)**.
% 0.50/0.69 4563[2:Rew:4561.0,4535.0] || -> equal(multiply(sk_c9,u),u)**.
% 0.50/0.69 4569[2:Rew:4561.0,4530.3] || equal(inverse(u),sk_c10) equal(inverse(v),sk_c10) equal(multiply(v,sk_c9),sk_c10)** equal(multiply(u,sk_c10),sk_c9)** -> .
% 0.50/0.69 4570[2:Rew:4562.0,4528.0] || -> equal(sk_c10,sk_c9)**.
% 0.50/0.69 4571[2:Rew:4570.0,4520.0] || -> equal(inverse(sk_c9),sk_c9)**.
% 0.50/0.69 4605[2:Rew:4570.0,4569.3,4570.0,4569.2,4570.0,4569.1,4570.0,4569.0] || equal(inverse(u),sk_c9) equal(inverse(v),sk_c9) equal(multiply(v,sk_c9),sk_c9)** equal(multiply(u,sk_c9),sk_c9)** -> .
% 0.50/0.69 4606[2:Con:4605.0] || equal(inverse(u),sk_c9) equal(multiply(u,sk_c9),sk_c9)** -> .
% 0.50/0.69 4646[2:SpR:4562.0,653.0] || -> equal(identity,sk_c4)**.
% 0.50/0.69 4650[2:Rew:4646.0,653.0] || -> equal(multiply(u,sk_c4),u)**.
% 0.50/0.69 4651[2:Rew:4646.0,48.0] || -> equal(multiply(inverse(u),u),sk_c4)**.
% 0.50/0.69 4662[2:SpR:4571.0,4651.0] || -> equal(multiply(sk_c9,sk_c9),sk_c4)**.
% 0.50/0.69 4665[2:Rew:4563.0,4662.0] || -> equal(sk_c4,sk_c9)**.
% 0.50/0.69 4670[2:Rew:4665.0,4650.0] || -> equal(multiply(u,sk_c9),u)**.
% 0.50/0.69 4678[2:Rew:4670.0,4606.1] || equal(inverse(u),sk_c9)** equal(u,sk_c9) -> .
% 0.50/0.69 4725[2:SpL:4571.0,4678.0] || equal(sk_c9,sk_c9)* equal(sk_c9,sk_c9)* -> .
% 0.50/0.69 4727[2:Obv:4725.1] || -> .
% 0.50/0.69 % SZS output end Refutation
% 0.50/0.69 Formulae used in the proof : prove_this_1 prove_this_2 prove_this_3 prove_this_4 prove_this_5 prove_this_10 prove_this_11 prove_this_12 prove_this_13 prove_this_14 prove_this_15 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_37 prove_this_38 prove_this_39 prove_this_40 prove_this_41 prove_this_46 left_identity left_inverse associativity
% 0.50/0.69
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