TSTP Solution File: GRP238-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GRP238-1 : 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 11:46:28 EDT 2022
% Result : Unsatisfiable 0.20s 0.59s
% Output : Refutation 0.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP238-1 : TPTP v8.1.0. Released v2.5.0.
% 0.10/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n008.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % 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 12:51:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.59
% 0.20/0.59 SPASS V 3.9
% 0.20/0.59 SPASS beiseite: Proof found.
% 0.20/0.59 % SZS status Theorem
% 0.20/0.59 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.59 SPASS derived 2258 clauses, backtracked 715 clauses, performed 13 splits and kept 1343 clauses.
% 0.20/0.59 SPASS allocated 64831 KBytes.
% 0.20/0.59 SPASS spent 0:00:00.24 on the problem.
% 0.20/0.59 0:00:00.04 for the input.
% 0.20/0.59 0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.59 0:00:00.01 for inferences.
% 0.20/0.59 0:00:00.00 for the backtracking.
% 0.20/0.59 0:00:00.16 for the reduction.
% 0.20/0.59
% 0.20/0.59
% 0.20/0.59 Here is a proof with depth 6, length 446 :
% 0.20/0.59 % SZS output start Refutation
% 0.20/0.59 1[0:Inp] || -> equal(inverse(sk_c11),sk_c10) equal(multiply(sk_c4,sk_c5),sk_c11)**.
% 0.20/0.59 2[0:Inp] || -> equal(inverse(sk_c4),sk_c5)** equal(inverse(sk_c11),sk_c10).
% 0.20/0.59 3[0:Inp] || -> equal(inverse(sk_c11),sk_c10) equal(multiply(sk_c5,sk_c10),sk_c11)**.
% 0.20/0.59 6[0:Inp] || -> equal(inverse(sk_c11),sk_c10) equal(multiply(sk_c7,sk_c8),sk_c10)**.
% 0.20/0.59 7[0:Inp] || -> equal(inverse(sk_c7),sk_c8)** equal(inverse(sk_c11),sk_c10).
% 0.20/0.59 8[0:Inp] || -> equal(inverse(sk_c11),sk_c10) equal(multiply(sk_c8,sk_c11),sk_c10)**.
% 0.20/0.59 9[0:Inp] || -> equal(inverse(sk_c9),sk_c10)** equal(inverse(sk_c11),sk_c10).
% 0.20/0.59 10[0:Inp] || -> equal(inverse(sk_c11),sk_c10) equal(multiply(sk_c9,sk_c11),sk_c10)**.
% 0.20/0.59 16[0:Inp] || -> equal(inverse(sk_c1),sk_c11) equal(multiply(sk_c7,sk_c8),sk_c10)**.
% 0.20/0.59 17[0:Inp] || -> equal(inverse(sk_c7),sk_c8) equal(inverse(sk_c1),sk_c11)**.
% 0.20/0.59 19[0:Inp] || -> equal(inverse(sk_c9),sk_c10) equal(inverse(sk_c1),sk_c11)**.
% 0.20/0.59 20[0:Inp] || -> equal(inverse(sk_c1),sk_c11) equal(multiply(sk_c9,sk_c11),sk_c10)**.
% 0.20/0.59 24[0:Inp] || -> equal(inverse(sk_c6),sk_c11) equal(multiply(sk_c1,sk_c10),sk_c11)**.
% 0.20/0.59 27[0:Inp] || -> equal(inverse(sk_c7),sk_c8) equal(multiply(sk_c1,sk_c10),sk_c11)**.
% 0.20/0.59 29[0:Inp] || -> equal(inverse(sk_c9),sk_c10) equal(multiply(sk_c1,sk_c10),sk_c11)**.
% 0.20/0.59 30[0:Inp] || -> equal(multiply(sk_c9,sk_c11),sk_c10) equal(multiply(sk_c1,sk_c10),sk_c11)**.
% 0.20/0.59 31[0:Inp] || -> equal(multiply(sk_c4,sk_c5),sk_c11)** equal(multiply(sk_c11,sk_c3),sk_c10).
% 0.20/0.59 32[0:Inp] || -> equal(inverse(sk_c4),sk_c5) equal(multiply(sk_c11,sk_c3),sk_c10)**.
% 0.20/0.59 34[0:Inp] || -> equal(inverse(sk_c6),sk_c11) equal(multiply(sk_c11,sk_c3),sk_c10)**.
% 0.20/0.59 36[0:Inp] || -> equal(multiply(sk_c7,sk_c8),sk_c10)** equal(multiply(sk_c11,sk_c3),sk_c10).
% 0.20/0.59 37[0:Inp] || -> equal(inverse(sk_c7),sk_c8) equal(multiply(sk_c11,sk_c3),sk_c10)**.
% 0.20/0.59 39[0:Inp] || -> equal(inverse(sk_c9),sk_c10) equal(multiply(sk_c11,sk_c3),sk_c10)**.
% 0.20/0.59 40[0:Inp] || -> equal(multiply(sk_c9,sk_c11),sk_c10)** equal(multiply(sk_c11,sk_c3),sk_c10).
% 0.20/0.59 46[0:Inp] || -> equal(multiply(sk_c7,sk_c8),sk_c10) equal(multiply(sk_c2,sk_c11),sk_c3)**.
% 0.20/0.59 47[0:Inp] || -> equal(inverse(sk_c7),sk_c8) equal(multiply(sk_c2,sk_c11),sk_c3)**.
% 0.20/0.59 49[0:Inp] || -> equal(inverse(sk_c9),sk_c10) equal(multiply(sk_c2,sk_c11),sk_c3)**.
% 0.20/0.59 50[0:Inp] || -> equal(multiply(sk_c9,sk_c11),sk_c10) equal(multiply(sk_c2,sk_c11),sk_c3)**.
% 0.20/0.59 56[0:Inp] || -> equal(inverse(sk_c2),sk_c11) equal(multiply(sk_c7,sk_c8),sk_c10)**.
% 0.20/0.59 57[0:Inp] || -> equal(inverse(sk_c7),sk_c8) equal(inverse(sk_c2),sk_c11)**.
% 0.20/0.59 59[0:Inp] || -> equal(inverse(sk_c9),sk_c10) equal(inverse(sk_c2),sk_c11)**.
% 0.20/0.59 60[0:Inp] || -> equal(inverse(sk_c2),sk_c11) equal(multiply(sk_c9,sk_c11),sk_c10)**.
% 0.20/0.59 61[0:Inp] || equal(inverse(sk_c11),sk_c10) equal(inverse(u),sk_c11) equal(multiply(u,sk_c10),sk_c11)** equal(multiply(sk_c11,v),sk_c10)** equal(multiply(w,sk_c11),v)* equal(inverse(w),sk_c11) equal(multiply(x,y),sk_c11)** equal(inverse(x),y) equal(multiply(y,sk_c10),sk_c11)** equal(inverse(z),sk_c11) equal(multiply(z,sk_c10),sk_c11)** equal(multiply(x1,x2),sk_c10)** equal(inverse(x1),x2) equal(multiply(x2,sk_c11),sk_c10)** equal(inverse(x3),sk_c10) equal(multiply(x3,sk_c11),sk_c10)** -> .
% 0.20/0.59 62[0:Inp] || -> equal(multiply(identity,u),u)**.
% 0.20/0.59 63[0:Inp] || -> equal(multiply(inverse(u),u),identity)**.
% 0.20/0.59 64[0:Inp] || -> equal(multiply(multiply(u,v),w),multiply(u,multiply(v,w)))**.
% 0.20/0.59 65[0:Con:61.9] || equal(inverse(u),v) equal(inverse(w),x) equal(inverse(y),sk_c10) equal(inverse(z),sk_c11) equal(inverse(x1),sk_c11) equal(inverse(sk_c11),sk_c10) equal(multiply(u,v),sk_c10)**+ equal(multiply(w,x),sk_c11)** equal(multiply(z,sk_c11),x2)* equal(multiply(y,sk_c11),sk_c10)** equal(multiply(v,sk_c11),sk_c10)** equal(multiply(x,sk_c10),sk_c11)** equal(multiply(x1,sk_c10),sk_c11)** equal(multiply(sk_c11,x2),sk_c10)** -> .
% 0.20/0.59 66[1:Spt:65.1,65.7,65.11] || equal(inverse(u),v) equal(multiply(u,v),sk_c11)**+ equal(multiply(v,sk_c10),sk_c11)** -> .
% 0.20/0.59 67[2:Spt:7.1] || -> equal(inverse(sk_c11),sk_c10)**.
% 0.20/0.59 69[3:Spt:59.1] || -> equal(inverse(sk_c2),sk_c11)**.
% 0.20/0.59 71[4:Spt:19.1] || -> equal(inverse(sk_c1),sk_c11)**.
% 0.20/0.59 73[5:Spt:49.1] || -> equal(multiply(sk_c2,sk_c11),sk_c3)**.
% 0.20/0.59 78[6:Spt:37.1] || -> equal(multiply(sk_c11,sk_c3),sk_c10)**.
% 0.20/0.59 84[7:Spt:27.1] || -> equal(multiply(sk_c1,sk_c10),sk_c11)**.
% 0.20/0.59 90[2:SpR:67.0,63.0] || -> equal(multiply(sk_c10,sk_c11),identity)**.
% 0.20/0.59 91[3:SpR:69.0,63.0] || -> equal(multiply(sk_c11,sk_c2),identity)**.
% 0.20/0.59 92[4:SpR:71.0,63.0] || -> equal(multiply(sk_c11,sk_c1),identity)**.
% 0.20/0.59 95[2:SpL:90.0,66.1] || equal(inverse(sk_c10),sk_c11) equal(identity,sk_c11) equal(multiply(sk_c11,sk_c10),sk_c11)** -> .
% 0.20/0.59 103[2:SpR:90.0,64.0] || -> equal(multiply(sk_c10,multiply(sk_c11,u)),multiply(identity,u))**.
% 0.20/0.59 104[6:SpR:78.0,64.0] || -> equal(multiply(sk_c11,multiply(sk_c3,u)),multiply(sk_c10,u))**.
% 0.20/0.59 107[0:SpR:63.0,64.0] || -> equal(multiply(inverse(u),multiply(u,v)),multiply(identity,v))**.
% 0.20/0.59 109[2:Rew:62.0,103.0] || -> equal(multiply(sk_c10,multiply(sk_c11,u)),u)**.
% 0.20/0.59 111[0:Rew:62.0,107.0] || -> equal(multiply(inverse(u),multiply(u,v)),v)**.
% 0.20/0.59 113[4:SpR:92.0,64.0] || -> equal(multiply(sk_c11,multiply(sk_c1,u)),multiply(identity,u))**.
% 0.20/0.59 116[4:Rew:62.0,113.0] || -> equal(multiply(sk_c11,multiply(sk_c1,u)),u)**.
% 0.20/0.59 121[6:SpR:78.0,109.0] || -> equal(multiply(sk_c10,sk_c10),sk_c3)**.
% 0.20/0.59 122[3:SpR:91.0,109.0] || -> equal(multiply(sk_c10,identity),sk_c2)**.
% 0.20/0.59 123[4:SpR:92.0,109.0] || -> equal(multiply(sk_c10,identity),sk_c1)**.
% 0.20/0.59 124[2:SpL:109.0,66.1] || equal(multiply(sk_c11,u),inverse(sk_c10)) equal(u,sk_c11) equal(multiply(multiply(sk_c11,u),sk_c10),sk_c11)** -> .
% 0.20/0.59 126[4:Rew:122.0,123.0] || -> equal(sk_c2,sk_c1)**.
% 0.20/0.59 128[5:Rew:126.0,73.0] || -> equal(multiply(sk_c1,sk_c11),sk_c3)**.
% 0.20/0.59 133[4:Rew:126.0,122.0] || -> equal(multiply(sk_c10,identity),sk_c1)**.
% 0.20/0.59 135[2:Rew:64.0,124.2] || equal(multiply(sk_c11,u),inverse(sk_c10)) equal(u,sk_c11) equal(multiply(sk_c11,multiply(u,sk_c10)),sk_c11)** -> .
% 0.20/0.59 145[4:SpR:133.0,64.0] || -> equal(multiply(sk_c10,multiply(identity,u)),multiply(sk_c1,u))**.
% 0.20/0.59 148[4:Rew:62.0,145.0] || -> equal(multiply(sk_c1,u),multiply(sk_c10,u))**.
% 0.20/0.59 149[5:Rew:148.0,128.0] || -> equal(multiply(sk_c10,sk_c11),sk_c3)**.
% 0.20/0.59 150[7:Rew:148.0,84.0] || -> equal(multiply(sk_c10,sk_c10),sk_c11)**.
% 0.20/0.59 153[4:Rew:148.0,116.0] || -> equal(multiply(sk_c11,multiply(sk_c10,u)),u)**.
% 0.20/0.59 154[5:Rew:90.0,149.0] || -> equal(identity,sk_c3)**.
% 0.20/0.59 155[5:Rew:154.0,62.0] || -> equal(multiply(sk_c3,u),u)**.
% 0.20/0.59 156[5:Rew:154.0,63.0] || -> equal(multiply(inverse(u),u),sk_c3)**.
% 0.20/0.59 157[5:Rew:154.0,90.0] || -> equal(multiply(sk_c10,sk_c11),sk_c3)**.
% 0.20/0.59 158[5:Rew:154.0,92.0] || -> equal(multiply(sk_c11,sk_c1),sk_c3)**.
% 0.20/0.59 159[5:Rew:154.0,133.0] || -> equal(multiply(sk_c10,sk_c3),sk_c1)**.
% 0.20/0.59 162[5:Rew:154.0,95.1] || equal(inverse(sk_c10),sk_c11) equal(sk_c3,sk_c11) equal(multiply(sk_c11,sk_c10),sk_c11)** -> .
% 0.20/0.59 164[7:Rew:121.0,150.0] || -> equal(sk_c3,sk_c11)**.
% 0.20/0.59 174[7:Rew:164.0,155.0] || -> equal(multiply(sk_c11,u),u)**.
% 0.20/0.59 178[7:Rew:174.0,158.0,164.0,158.0] || -> equal(sk_c1,sk_c11)**.
% 0.20/0.59 179[7:Rew:178.0,71.0] || -> equal(inverse(sk_c11),sk_c11)**.
% 0.20/0.59 182[7:Rew:67.0,179.0] || -> equal(sk_c10,sk_c11)**.
% 0.20/0.59 184[7:Rew:182.0,67.0] || -> equal(inverse(sk_c11),sk_c11)**.
% 0.20/0.59 216[7:Rew:182.0,162.2,174.0,162.2,164.0,162.1,184.0,162.0,182.0,162.0] || equal(sk_c11,sk_c11)* equal(sk_c11,sk_c11)* equal(sk_c11,sk_c11)* -> .
% 0.20/0.59 217[7:Obv:216.2] || -> .
% 0.20/0.59 222[7:Spt:217.0,27.1,84.0] || equal(multiply(sk_c1,sk_c10),sk_c11)** -> .
% 0.20/0.59 223[7:Spt:217.0,27.0] || -> equal(inverse(sk_c7),sk_c8)**.
% 0.20/0.59 224[7:Rew:148.0,222.0] || equal(multiply(sk_c10,sk_c10),sk_c11)** -> .
% 0.20/0.59 225[7:Rew:121.0,224.0] || equal(sk_c3,sk_c11)** -> .
% 0.20/0.59 226[6:Rew:121.0,29.1,148.0,29.1] || -> equal(inverse(sk_c9),sk_c10)** equal(sk_c3,sk_c11).
% 0.20/0.59 227[7:MRR:226.1,225.0] || -> equal(inverse(sk_c9),sk_c10)**.
% 0.20/0.59 233[6:Rew:155.0,104.0] || -> equal(multiply(sk_c10,u),multiply(sk_c11,u))**.
% 0.20/0.59 235[6:Rew:233.0,153.0] || -> equal(multiply(sk_c11,multiply(sk_c11,u)),u)**.
% 0.20/0.59 238[6:Rew:233.0,159.0] || -> equal(multiply(sk_c11,sk_c3),sk_c1)**.
% 0.20/0.59 239[6:Rew:233.0,157.0] || -> equal(multiply(sk_c11,sk_c11),sk_c3)**.
% 0.20/0.59 240[6:Rew:233.0,121.0] || -> equal(multiply(sk_c11,sk_c10),sk_c3)**.
% 0.20/0.59 241[6:Rew:78.0,238.0] || -> equal(sk_c1,sk_c10)**.
% 0.20/0.59 248[6:Rew:240.0,30.1,233.0,30.1,241.0,30.1] || -> equal(multiply(sk_c9,sk_c11),sk_c10)** equal(sk_c3,sk_c11).
% 0.20/0.59 249[7:MRR:248.1,225.0] || -> equal(multiply(sk_c9,sk_c11),sk_c10)**.
% 0.20/0.59 277[7:SpR:249.0,64.0] || -> equal(multiply(sk_c9,multiply(sk_c11,u)),multiply(sk_c10,u))**.
% 0.20/0.59 279[7:Rew:233.0,277.0] || -> equal(multiply(sk_c9,multiply(sk_c11,u)),multiply(sk_c11,u))**.
% 0.20/0.59 310[7:SpR:227.0,156.0] || -> equal(multiply(sk_c10,sk_c9),sk_c3)**.
% 0.20/0.59 315[7:Rew:233.0,310.0] || -> equal(multiply(sk_c11,sk_c9),sk_c3)**.
% 0.20/0.59 336[6:SpR:239.0,235.0] || -> equal(multiply(sk_c11,sk_c3),sk_c11)**.
% 0.20/0.59 337[6:SpR:240.0,235.0] || -> equal(multiply(sk_c11,sk_c3),sk_c10)**.
% 0.20/0.59 338[7:SpR:315.0,235.0] || -> equal(multiply(sk_c11,sk_c3),sk_c9)**.
% 0.20/0.59 340[6:Rew:78.0,336.0] || -> equal(sk_c10,sk_c11)**.
% 0.20/0.59 359[6:Rew:340.0,337.0] || -> equal(multiply(sk_c11,sk_c3),sk_c11)**.
% 0.20/0.59 360[7:Rew:359.0,338.0] || -> equal(sk_c9,sk_c11)**.
% 0.20/0.59 362[7:Rew:360.0,279.0] || -> equal(multiply(sk_c11,multiply(sk_c11,u)),multiply(sk_c11,u))**.
% 0.20/0.59 376[7:Rew:235.0,362.0] || -> equal(multiply(sk_c11,u),u)**.
% 0.20/0.59 383[7:Rew:376.0,359.0] || -> equal(sk_c3,sk_c11)**.
% 0.20/0.59 385[7:MRR:383.0,225.0] || -> .
% 0.20/0.59 416[6:Spt:385.0,37.1,78.0] || equal(multiply(sk_c11,sk_c3),sk_c10)** -> .
% 0.20/0.59 417[6:Spt:385.0,37.0] || -> equal(inverse(sk_c7),sk_c8)**.
% 0.20/0.59 421[6:MRR:39.1,416.0] || -> equal(inverse(sk_c9),sk_c10)**.
% 0.20/0.59 422[6:MRR:34.1,416.0] || -> equal(inverse(sk_c6),sk_c11)**.
% 0.20/0.59 423[6:MRR:32.1,416.0] || -> equal(inverse(sk_c4),sk_c5)**.
% 0.20/0.59 436[6:MRR:31.1,416.0] || -> equal(multiply(sk_c4,sk_c5),sk_c11)**.
% 0.20/0.59 467[6:SpR:436.0,64.0] || -> equal(multiply(sk_c4,multiply(sk_c5,u)),multiply(sk_c11,u))**.
% 0.20/0.59 474[6:SpR:421.0,156.0] || -> equal(multiply(sk_c10,sk_c9),sk_c3)**.
% 0.20/0.59 477[6:SpR:422.0,156.0] || -> equal(multiply(sk_c11,sk_c6),sk_c3)**.
% 0.20/0.59 478[6:SpR:423.0,156.0] || -> equal(multiply(sk_c5,sk_c4),sk_c3)**.
% 0.20/0.59 495[6:SpR:477.0,109.0] || -> equal(multiply(sk_c10,sk_c3),sk_c6)**.
% 0.20/0.59 496[6:Rew:159.0,495.0] || -> equal(sk_c1,sk_c6)**.
% 0.20/0.59 499[6:Rew:496.0,159.0] || -> equal(multiply(sk_c10,sk_c3),sk_c6)**.
% 0.20/0.59 520[5:SpR:157.0,153.0] || -> equal(multiply(sk_c11,sk_c3),sk_c11)**.
% 0.20/0.59 521[6:SpR:474.0,153.0] || -> equal(multiply(sk_c11,sk_c3),sk_c9)**.
% 0.20/0.59 526[6:Rew:520.0,521.0] || -> equal(sk_c9,sk_c11)**.
% 0.20/0.59 539[0:SpR:111.0,111.0] || -> equal(multiply(inverse(inverse(u)),v),multiply(u,v))**.
% 0.20/0.59 554[5:SpR:156.0,111.0] || -> equal(multiply(inverse(inverse(u)),sk_c3),u)**.
% 0.20/0.59 556[6:SpR:478.0,111.0] || -> equal(multiply(inverse(sk_c5),sk_c3),sk_c4)**.
% 0.20/0.59 569[5:Rew:539.0,554.0] || -> equal(multiply(u,sk_c3),u)**.
% 0.20/0.59 570[6:Rew:569.0,499.0] || -> equal(sk_c6,sk_c10)**.
% 0.20/0.59 571[6:Rew:569.0,556.0] || -> equal(inverse(sk_c5),sk_c4)**.
% 0.20/0.59 573[6:Rew:570.0,422.0] || -> equal(inverse(sk_c10),sk_c11)**.
% 0.20/0.59 574[6:Rew:570.0,477.0] || -> equal(multiply(sk_c11,sk_c10),sk_c3)**.
% 0.20/0.59 581[6:Rew:573.0,135.0] || equal(multiply(sk_c11,u),sk_c11) equal(u,sk_c11) equal(multiply(sk_c11,multiply(u,sk_c10)),sk_c11)** -> .
% 0.20/0.59 591[6:SpR:571.0,111.0] || -> equal(multiply(sk_c4,multiply(sk_c5,u)),u)**.
% 0.20/0.59 595[6:Rew:467.0,591.0] || -> equal(multiply(sk_c11,u),u)**.
% 0.20/0.59 598[6:Rew:595.0,574.0] || -> equal(sk_c3,sk_c10)**.
% 0.20/0.59 600[6:Rew:595.0,581.2] || equal(multiply(sk_c11,u),sk_c11)** equal(u,sk_c11) equal(multiply(u,sk_c10),sk_c11)** -> .
% 0.20/0.59 614[6:Rew:598.0,569.0] || -> equal(multiply(u,sk_c10),u)**.
% 0.20/0.59 664[6:Rew:614.0,600.2,595.0,600.0] || equal(u,sk_c11)* equal(u,sk_c11)* equal(u,sk_c11)* -> .
% 0.20/0.59 665[6:Obv:664.1] || equal(u,sk_c11)* -> .
% 0.20/0.59 666[6:UnC:665.0,526.0] || -> .
% 0.20/0.59 667[5:Spt:666.0,49.1,73.0] || equal(multiply(sk_c2,sk_c11),sk_c3)** -> .
% 0.20/0.59 668[5:Spt:666.0,49.0] || -> equal(inverse(sk_c9),sk_c10)**.
% 0.20/0.59 669[5:Rew:126.0,667.0] || equal(multiply(sk_c1,sk_c11),sk_c3)** -> .
% 0.20/0.59 670[5:Rew:148.0,669.0] || equal(multiply(sk_c10,sk_c11),sk_c3)** -> .
% 0.20/0.59 671[5:Rew:90.0,670.0] || equal(identity,sk_c3)** -> .
% 0.20/0.59 673[4:Rew:90.0,47.1,148.0,47.1,126.0,47.1] || -> equal(inverse(sk_c7),sk_c8)** equal(identity,sk_c3).
% 0.20/0.59 674[5:MRR:673.1,671.0] || -> equal(inverse(sk_c7),sk_c8)**.
% 0.20/0.59 679[4:Rew:90.0,50.1,148.0,50.1,126.0,50.1] || -> equal(multiply(sk_c9,sk_c11),sk_c10)** equal(identity,sk_c3).
% 0.20/0.59 680[5:MRR:679.1,671.0] || -> equal(multiply(sk_c9,sk_c11),sk_c10)**.
% 0.20/0.59 683[4:Rew:90.0,46.1,148.0,46.1,126.0,46.1] || -> equal(multiply(sk_c7,sk_c8),sk_c10)** equal(identity,sk_c3).
% 0.20/0.59 684[5:MRR:683.1,671.0] || -> equal(multiply(sk_c7,sk_c8),sk_c10)**.
% 0.20/0.59 723[5:SpR:680.0,111.0] || -> equal(multiply(inverse(sk_c9),sk_c10),sk_c11)**.
% 0.20/0.59 725[5:Rew:668.0,723.0] || -> equal(multiply(sk_c10,sk_c10),sk_c11)**.
% 0.20/0.59 732[5:SpR:684.0,111.0] || -> equal(multiply(inverse(sk_c7),sk_c10),sk_c8)**.
% 0.20/0.59 734[5:Rew:674.0,732.0] || -> equal(multiply(sk_c8,sk_c10),sk_c8)**.
% 0.20/0.59 747[0:SpR:62.0,111.0] || -> equal(multiply(inverse(identity),u),u)**.
% 0.20/0.59 758[5:SpR:734.0,111.0] || -> equal(multiply(inverse(sk_c8),sk_c8),sk_c10)**.
% 0.20/0.59 760[5:Rew:63.0,758.0] || -> equal(identity,sk_c10)**.
% 0.20/0.59 762[5:Rew:760.0,133.0] || -> equal(multiply(sk_c10,sk_c10),sk_c1)**.
% 0.20/0.59 765[5:Rew:760.0,62.0] || -> equal(multiply(sk_c10,u),u)**.
% 0.20/0.59 770[5:Rew:760.0,95.1] || equal(inverse(sk_c10),sk_c11) equal(sk_c10,sk_c11) equal(multiply(sk_c11,sk_c10),sk_c11)** -> .
% 0.20/0.59 774[5:Rew:725.0,762.0] || -> equal(sk_c1,sk_c11)**.
% 0.20/0.59 776[5:Rew:774.0,71.0] || -> equal(inverse(sk_c11),sk_c11)**.
% 0.20/0.59 778[5:Rew:67.0,776.0] || -> equal(sk_c10,sk_c11)**.
% 0.20/0.59 779[5:Rew:778.0,67.0] || -> equal(inverse(sk_c11),sk_c11)**.
% 0.20/0.59 808[5:Rew:778.0,765.0] || -> equal(multiply(sk_c11,u),u)**.
% 0.20/0.59 842[5:Rew:778.0,770.2,808.0,770.2,778.0,770.1,779.0,770.0,778.0,770.0] || equal(sk_c11,sk_c11)* equal(sk_c11,sk_c11)* equal(sk_c11,sk_c11)* -> .
% 0.20/0.59 843[5:Obv:842.2] || -> .
% 0.20/0.59 850[4:Spt:843.0,19.1,71.0] || equal(inverse(sk_c1),sk_c11)** -> .
% 0.20/0.59 851[4:Spt:843.0,19.0] || -> equal(inverse(sk_c9),sk_c10)**.
% 0.20/0.59 852[4:MRR:17.1,850.0] || -> equal(inverse(sk_c7),sk_c8)**.
% 0.20/0.59 855[4:MRR:20.0,850.0] || -> equal(multiply(sk_c9,sk_c11),sk_c10)**.
% 0.20/0.59 857[4:MRR:16.0,850.0] || -> equal(multiply(sk_c7,sk_c8),sk_c10)**.
% 0.20/0.59 895[4:SpR:855.0,111.0] || -> equal(multiply(inverse(sk_c9),sk_c10),sk_c11)**.
% 0.20/0.59 897[4:Rew:851.0,895.0] || -> equal(multiply(sk_c10,sk_c10),sk_c11)**.
% 0.20/0.59 904[4:SpR:857.0,111.0] || -> equal(multiply(inverse(sk_c7),sk_c10),sk_c8)**.
% 0.20/0.59 906[4:Rew:852.0,904.0] || -> equal(multiply(sk_c8,sk_c10),sk_c8)**.
% 0.20/0.59 926[4:SpR:906.0,111.0] || -> equal(multiply(inverse(sk_c8),sk_c8),sk_c10)**.
% 0.20/0.59 928[4:Rew:63.0,926.0] || -> equal(identity,sk_c10)**.
% 0.20/0.59 932[4:Rew:928.0,122.0] || -> equal(multiply(sk_c10,sk_c10),sk_c2)**.
% 0.20/0.59 933[4:Rew:928.0,62.0] || -> equal(multiply(sk_c10,u),u)**.
% 0.20/0.59 939[4:Rew:928.0,95.1] || equal(inverse(sk_c10),sk_c11) equal(sk_c10,sk_c11) equal(multiply(sk_c11,sk_c10),sk_c11)** -> .
% 0.20/0.59 940[4:Rew:897.0,932.0] || -> equal(sk_c2,sk_c11)**.
% 0.20/0.59 941[4:Rew:940.0,69.0] || -> equal(inverse(sk_c11),sk_c11)**.
% 0.20/0.59 944[4:Rew:67.0,941.0] || -> equal(sk_c10,sk_c11)**.
% 0.20/0.59 946[4:Rew:944.0,67.0] || -> equal(inverse(sk_c11),sk_c11)**.
% 0.20/0.59 973[4:Rew:944.0,933.0] || -> equal(multiply(sk_c11,u),u)**.
% 0.20/0.59 1007[4:Rew:944.0,939.2,973.0,939.2,944.0,939.1,946.0,939.0,944.0,939.0] || equal(sk_c11,sk_c11)* equal(sk_c11,sk_c11)* equal(sk_c11,sk_c11)* -> .
% 0.20/0.59 1008[4:Obv:1007.2] || -> .
% 0.20/0.59 1013[3:Spt:1008.0,59.1,69.0] || equal(inverse(sk_c2),sk_c11)** -> .
% 0.20/0.59 1014[3:Spt:1008.0,59.0] || -> equal(inverse(sk_c9),sk_c10)**.
% 0.20/0.59 1015[3:MRR:57.1,1013.0] || -> equal(inverse(sk_c7),sk_c8)**.
% 0.20/0.59 1018[3:MRR:60.0,1013.0] || -> equal(multiply(sk_c9,sk_c11),sk_c10)**.
% 0.20/0.59 1020[3:MRR:56.0,1013.0] || -> equal(multiply(sk_c7,sk_c8),sk_c10)**.
% 0.20/0.59 1044[3:SpR:1018.0,111.0] || -> equal(multiply(inverse(sk_c9),sk_c10),sk_c11)**.
% 0.20/0.59 1046[3:Rew:1014.0,1044.0] || -> equal(multiply(sk_c10,sk_c10),sk_c11)**.
% 0.20/0.59 1051[3:SpR:1020.0,111.0] || -> equal(multiply(inverse(sk_c7),sk_c10),sk_c8)**.
% 0.20/0.59 1053[3:Rew:1015.0,1051.0] || -> equal(multiply(sk_c8,sk_c10),sk_c8)**.
% 0.20/0.59 1070[3:SpR:1053.0,111.0] || -> equal(multiply(inverse(sk_c8),sk_c8),sk_c10)**.
% 0.20/0.59 1072[3:Rew:63.0,1070.0] || -> equal(identity,sk_c10)**.
% 0.20/0.59 1075[3:Rew:1072.0,62.0] || -> equal(multiply(sk_c10,u),u)**.
% 0.20/0.59 1080[3:Rew:1072.0,95.1] || equal(inverse(sk_c10),sk_c11) equal(sk_c10,sk_c11) equal(multiply(sk_c11,sk_c10),sk_c11)** -> .
% 0.20/0.59 1081[3:Rew:1075.0,1046.0] || -> equal(sk_c10,sk_c11)**.
% 0.20/0.59 1085[3:Rew:1075.0,109.0] || -> equal(multiply(sk_c11,u),u)**.
% 0.20/0.59 1092[3:Rew:1081.0,67.0] || -> equal(inverse(sk_c11),sk_c11)**.
% 0.20/0.59 1138[3:Rew:1081.0,1080.2,1085.0,1080.2,1081.0,1080.1,1092.0,1080.0,1081.0,1080.0] || equal(sk_c11,sk_c11)* equal(sk_c11,sk_c11)* equal(sk_c11,sk_c11)* -> .
% 0.20/0.59 1139[3:Obv:1138.2] || -> .
% 0.20/0.59 1144[2:Spt:1139.0,7.1,67.0] || equal(inverse(sk_c11),sk_c10)** -> .
% 0.20/0.59 1145[2:Spt:1139.0,7.0] || -> equal(inverse(sk_c7),sk_c8)**.
% 0.20/0.59 1146[2:MRR:9.1,1144.0] || -> equal(inverse(sk_c9),sk_c10)**.
% 0.20/0.59 1149[2:MRR:10.0,1144.0] || -> equal(multiply(sk_c9,sk_c11),sk_c10)**.
% 0.20/0.59 1150[2:MRR:8.0,1144.0] || -> equal(multiply(sk_c8,sk_c11),sk_c10)**.
% 0.20/0.59 1151[2:MRR:6.0,1144.0] || -> equal(multiply(sk_c7,sk_c8),sk_c10)**.
% 0.20/0.59 1164[2:SpR:1149.0,111.0] || -> equal(multiply(inverse(sk_c9),sk_c10),sk_c11)**.
% 0.20/0.59 1166[2:Rew:1146.0,1164.0] || -> equal(multiply(sk_c10,sk_c10),sk_c11)**.
% 0.20/0.59 1171[2:SpR:1151.0,111.0] || -> equal(multiply(inverse(sk_c7),sk_c10),sk_c8)**.
% 0.20/0.59 1173[2:Rew:1145.0,1171.0] || -> equal(multiply(sk_c8,sk_c10),sk_c8)**.
% 0.20/0.59 1189[2:SpR:1173.0,111.0] || -> equal(multiply(inverse(sk_c8),sk_c8),sk_c10)**.
% 0.20/0.59 1191[2:Rew:63.0,1189.0] || -> equal(identity,sk_c10)**.
% 0.20/0.59 1192[2:Rew:1191.0,62.0] || -> equal(multiply(sk_c10,u),u)**.
% 0.20/0.59 1195[2:Rew:1191.0,63.0] || -> equal(multiply(inverse(u),u),sk_c10)**.
% 0.20/0.59 1197[2:Rew:1192.0,1166.0] || -> equal(sk_c10,sk_c11)**.
% 0.20/0.59 1206[2:Rew:1197.0,1144.0] || equal(inverse(sk_c11),sk_c11)** -> .
% 0.20/0.59 1208[2:Rew:1197.0,1150.0] || -> equal(multiply(sk_c8,sk_c11),sk_c11)**.
% 0.20/0.59 1212[2:Rew:1197.0,1173.0] || -> equal(multiply(sk_c8,sk_c11),sk_c8)**.
% 0.20/0.59 1220[2:Rew:1197.0,1192.0] || -> equal(multiply(sk_c11,u),u)**.
% 0.20/0.59 1227[2:Rew:1208.0,1212.0] || -> equal(sk_c8,sk_c11)**.
% 0.20/0.59 1228[2:Rew:1227.0,1145.0] || -> equal(inverse(sk_c7),sk_c11)**.
% 0.20/0.59 1234[2:Rew:1197.0,1195.0] || -> equal(multiply(inverse(u),u),sk_c11)**.
% 0.20/0.59 1275[2:SpR:1228.0,1234.0] || -> equal(multiply(sk_c11,sk_c7),sk_c11)**.
% 0.20/0.59 1288[2:Rew:1220.0,1275.0] || -> equal(sk_c7,sk_c11)**.
% 0.20/0.59 1289[2:Rew:1288.0,1228.0] || -> equal(inverse(sk_c11),sk_c11)**.
% 0.20/0.59 1291[2:MRR:1289.0,1206.0] || -> .
% 0.20/0.59 1299[1:Spt:1291.0,65.0,65.2,65.3,65.4,65.5,65.6,65.8,65.9,65.10,65.12,65.13] || equal(inverse(u),v) equal(inverse(w),sk_c10) equal(inverse(x),sk_c11) equal(inverse(y),sk_c11) equal(inverse(sk_c11),sk_c10) equal(multiply(u,v),sk_c10)**+ equal(multiply(x,sk_c11),z)* equal(multiply(w,sk_c11),sk_c10)** equal(multiply(v,sk_c11),sk_c10)** equal(multiply(y,sk_c10),sk_c11)** equal(multiply(sk_c11,z),sk_c10)** -> .
% 0.20/0.59 1303[2:Spt:9.1] || -> equal(inverse(sk_c11),sk_c10)**.
% 0.20/0.59 1304[2:Rew:1303.0,1299.4] || equal(inverse(u),v) equal(inverse(w),sk_c10) equal(inverse(x),sk_c11) equal(inverse(y),sk_c11) equal(sk_c10,sk_c10) equal(multiply(u,v),sk_c10)** equal(multiply(x,sk_c11),z)* equal(multiply(w,sk_c11),sk_c10)** equal(multiply(v,sk_c11),sk_c10)** equal(multiply(y,sk_c10),sk_c11)** equal(multiply(sk_c11,z),sk_c10)** -> .
% 0.20/0.59 1307[2:Obv:1304.4] || equal(inverse(u),v) equal(inverse(w),sk_c10) equal(inverse(x),sk_c11) equal(inverse(y),sk_c11) equal(multiply(u,v),sk_c10)** equal(multiply(x,sk_c11),z)* equal(multiply(w,sk_c11),sk_c10)** equal(multiply(v,sk_c11),sk_c10)** equal(multiply(y,sk_c10),sk_c11)** equal(multiply(sk_c11,z),sk_c10)** -> .
% 0.20/0.59 1310[2:SpR:1303.0,111.0] || -> equal(multiply(sk_c10,multiply(sk_c11,u)),u)**.
% 0.20/0.59 1312[3:Spt:57.1] || -> equal(inverse(sk_c2),sk_c11)**.
% 0.20/0.59 1315[4:Spt:17.1] || -> equal(inverse(sk_c1),sk_c11)**.
% 0.20/0.59 1318[5:Spt:39.1] || -> equal(multiply(sk_c11,sk_c3),sk_c10)**.
% 0.20/0.59 1320[5:SpR:1318.0,111.0] || -> equal(multiply(inverse(sk_c11),sk_c10),sk_c3)**.
% 0.20/0.59 1322[5:Rew:1303.0,1320.0] || -> equal(multiply(sk_c10,sk_c10),sk_c3)**.
% 0.20/0.59 1323[6:Spt:49.1] || -> equal(multiply(sk_c2,sk_c11),sk_c3)**.
% 0.20/0.59 1325[6:SpR:1323.0,111.0] || -> equal(multiply(inverse(sk_c2),sk_c3),sk_c11)**.
% 0.20/0.59 1327[6:Rew:1318.0,1325.0,1312.0,1325.0] || -> equal(sk_c10,sk_c11)**.
% 0.20/0.59 1328[6:Rew:1327.0,1303.0] || -> equal(inverse(sk_c11),sk_c11)**.
% 0.20/0.59 1330[6:Rew:1327.0,29.0] || -> equal(inverse(sk_c9),sk_c11) equal(multiply(sk_c1,sk_c10),sk_c11)**.
% 0.20/0.59 1336[6:Rew:1327.0,30.1] || -> equal(multiply(sk_c9,sk_c11),sk_c10) equal(multiply(sk_c1,sk_c11),sk_c11)**.
% 0.20/0.59 1339[6:Rew:1327.0,24.1] || -> equal(inverse(sk_c6),sk_c11) equal(multiply(sk_c1,sk_c11),sk_c11)**.
% 0.20/0.59 1341[6:Rew:1327.0,1307.1] || equal(inverse(u),v) equal(inverse(w),sk_c11) equal(inverse(x),sk_c11) equal(inverse(y),sk_c11) equal(multiply(u,v),sk_c10)** equal(multiply(x,sk_c11),z)* equal(multiply(w,sk_c11),sk_c10)** equal(multiply(v,sk_c11),sk_c10)** equal(multiply(y,sk_c10),sk_c11)** equal(multiply(sk_c11,z),sk_c10)** -> .
% 0.20/0.59 1343[6:Rew:1327.0,1310.0] || -> equal(multiply(sk_c11,multiply(sk_c11,u)),u)**.
% 0.20/0.59 1344[6:Rew:1327.0,1322.0] || -> equal(multiply(sk_c11,sk_c11),sk_c3)**.
% 0.20/0.59 1346[6:Rew:1327.0,1330.1] || -> equal(inverse(sk_c9),sk_c11) equal(multiply(sk_c1,sk_c11),sk_c11)**.
% 0.20/0.59 1351[6:Rew:1327.0,1336.0] || -> equal(multiply(sk_c9,sk_c11),sk_c11) equal(multiply(sk_c1,sk_c11),sk_c11)**.
% 0.20/0.59 1352[6:Rew:1327.0,1341.9,1327.0,1341.8,1327.0,1341.7,1327.0,1341.6,1327.0,1341.4] || equal(inverse(u),v) equal(inverse(w),sk_c11) equal(inverse(x),sk_c11) equal(inverse(y),sk_c11) equal(multiply(u,v),sk_c11)** equal(multiply(x,sk_c11),z)* equal(multiply(w,sk_c11),sk_c11)** equal(multiply(v,sk_c11),sk_c11)** equal(multiply(y,sk_c11),sk_c11)** equal(multiply(sk_c11,z),sk_c11)** -> .
% 0.20/0.59 1353[6:Con:1352.3] || equal(inverse(u),v) equal(inverse(w),sk_c11) equal(inverse(x),sk_c11) equal(multiply(u,v),sk_c11)** equal(multiply(x,sk_c11),y)* equal(multiply(w,sk_c11),sk_c11)** equal(multiply(v,sk_c11),sk_c11)** equal(multiply(sk_c11,y),sk_c11)** -> .
% 0.20/0.59 1365[6:SpR:1344.0,64.0] || -> equal(multiply(sk_c11,multiply(sk_c11,u)),multiply(sk_c3,u))**.
% 0.20/0.59 1369[6:Rew:1343.0,1365.0] || -> equal(multiply(sk_c3,u),u)**.
% 0.20/0.59 1379[0:SpR:63.0,111.0] || -> equal(multiply(inverse(inverse(u)),identity),u)**.
% 0.20/0.59 1381[3:SpR:1312.0,63.0] || -> equal(multiply(sk_c11,sk_c2),identity)**.
% 0.20/0.59 1382[4:SpR:1315.0,63.0] || -> equal(multiply(sk_c11,sk_c1),identity)**.
% 0.20/0.59 1383[6:SpR:1328.0,63.0] || -> equal(multiply(sk_c11,sk_c11),identity)**.
% 0.20/0.59 1384[6:Rew:1344.0,1383.0] || -> equal(identity,sk_c3)**.
% 0.20/0.59 1389[6:Rew:1384.0,1382.0] || -> equal(multiply(sk_c11,sk_c1),sk_c3)**.
% 0.20/0.59 1390[6:Rew:539.0,1379.0,1384.0,1379.0] || -> equal(multiply(u,sk_c3),u)**.
% 0.20/0.59 1415[6:SpR:1389.0,111.0] || -> equal(multiply(inverse(sk_c11),sk_c3),sk_c1)**.
% 0.20/0.59 1417[6:Rew:1328.0,1415.0] || -> equal(multiply(sk_c11,sk_c3),sk_c1)**.
% 0.20/0.59 1418[6:Rew:1390.0,1417.0] || -> equal(sk_c1,sk_c11)**.
% 0.20/0.59 1422[6:Rew:1418.0,1351.1] || -> equal(multiply(sk_c9,sk_c11),sk_c11)** equal(multiply(sk_c11,sk_c11),sk_c11).
% 0.20/0.59 1428[6:Rew:1418.0,1339.1] || -> equal(inverse(sk_c6),sk_c11) equal(multiply(sk_c11,sk_c11),sk_c11)**.
% 0.20/0.59 1431[6:Rew:1418.0,1346.1] || -> equal(inverse(sk_c9),sk_c11) equal(multiply(sk_c11,sk_c11),sk_c11)**.
% 0.20/0.59 1434[6:Rew:1344.0,1428.1] || -> equal(inverse(sk_c6),sk_c11)** equal(sk_c3,sk_c11).
% 0.20/0.59 1437[6:Rew:1344.0,1431.1] || -> equal(inverse(sk_c9),sk_c11)** equal(sk_c3,sk_c11).
% 0.20/0.59 1438[6:Rew:1344.0,1422.1] || -> equal(multiply(sk_c9,sk_c11),sk_c11)** equal(sk_c3,sk_c11).
% 0.20/0.59 1454[7:Spt:1434.1] || -> equal(sk_c3,sk_c11)**.
% 0.20/0.59 1456[7:Rew:1454.0,1369.0] || -> equal(multiply(sk_c11,u),u)**.
% 0.20/0.59 1459[7:Rew:1454.0,1390.0] || -> equal(multiply(u,sk_c11),u)**.
% 0.20/0.59 1463[7:Rew:1456.0,1353.7] || equal(inverse(u),v) equal(inverse(w),sk_c11) equal(inverse(x),sk_c11) equal(multiply(u,v),sk_c11)** equal(multiply(x,sk_c11),y)* equal(multiply(w,sk_c11),sk_c11)** equal(multiply(v,sk_c11),sk_c11)** equal(y,sk_c11) -> .
% 0.20/0.59 1465[7:Rew:1459.0,1463.6,1459.0,1463.5,1459.0,1463.4] || equal(inverse(u),v) equal(inverse(w),sk_c11)** equal(inverse(x),sk_c11)** equal(multiply(u,v),sk_c11)**+ equal(x,y)* equal(w,sk_c11) equal(v,sk_c11) equal(y,sk_c11)* -> .
% 0.20/0.59 1493[7:SpL:1456.0,1465.3] || equal(inverse(sk_c11),u)* equal(inverse(v),sk_c11)** equal(inverse(w),sk_c11)** equal(u,sk_c11) equal(w,x)* equal(v,sk_c11) equal(u,sk_c11) equal(x,sk_c11)* -> .
% 0.20/0.59 1495[7:Obv:1493.3] || equal(inverse(sk_c11),u)* equal(inverse(v),sk_c11)** equal(inverse(w),sk_c11)** equal(w,x)* equal(v,sk_c11) equal(u,sk_c11) equal(x,sk_c11)* -> .
% 0.20/0.59 1496[7:Rew:1328.0,1495.0] || equal(sk_c11,u)* equal(inverse(v),sk_c11)** equal(inverse(w),sk_c11)** equal(w,x)* equal(v,sk_c11) equal(u,sk_c11)* equal(x,sk_c11)* -> .
% 0.20/0.59 1497[7:Obv:1496.0] || equal(inverse(u),sk_c11)** equal(inverse(v),sk_c11)** equal(v,w)* equal(u,sk_c11) equal(x,sk_c11)* equal(w,sk_c11)* -> .
% 0.20/0.59 1498[7:Con:1497.4] || equal(inverse(u),sk_c11)**+ equal(inverse(v),sk_c11)** equal(v,w)* equal(u,sk_c11) equal(w,sk_c11)* -> .
% 0.20/0.59 2055[7:SpL:1328.0,1498.0] || equal(sk_c11,sk_c11) equal(inverse(u),sk_c11)** equal(u,v)* equal(sk_c11,sk_c11) equal(v,sk_c11)* -> .
% 0.20/0.59 2059[7:Obv:2055.3] || equal(inverse(u),sk_c11)**+ equal(u,v)* equal(v,sk_c11)* -> .
% 0.20/0.59 2060[7:SpL:1328.0,2059.0] || equal(sk_c11,sk_c11)* equal(sk_c11,u)* equal(u,sk_c11)* -> .
% 0.20/0.59 2064[7:Obv:2060.1] || equal(u,sk_c11)* -> .
% 0.20/0.59 2065[7:AED:2064.0] || -> .
% 0.20/0.59 2066[7:Spt:2065.0,1434.1,1454.0] || equal(sk_c3,sk_c11)** -> .
% 0.20/0.59 2067[7:Spt:2065.0,1434.0] || -> equal(inverse(sk_c6),sk_c11)**.
% 0.20/0.59 2070[7:MRR:1437.1,2066.0] || -> equal(inverse(sk_c9),sk_c11)**.
% 0.20/0.59 2071[7:MRR:1438.1,2066.0] || -> equal(multiply(sk_c9,sk_c11),sk_c11)**.
% 0.20/0.59 2104[7:SpR:2071.0,111.0] || -> equal(multiply(inverse(sk_c9),sk_c11),sk_c11)**.
% 0.20/0.59 2106[7:Rew:1344.0,2104.0,2070.0,2104.0] || -> equal(sk_c3,sk_c11)**.
% 0.20/0.59 2107[7:MRR:2106.0,2066.0] || -> .
% 0.20/0.59 2108[6:Spt:2107.0,49.1,1323.0] || equal(multiply(sk_c2,sk_c11),sk_c3)** -> .
% 0.20/0.59 2109[6:Spt:2107.0,49.0] || -> equal(inverse(sk_c9),sk_c10)**.
% 0.20/0.59 2110[0:Rew:539.0,1379.0] || -> equal(multiply(u,identity),u)**.
% 0.20/0.59 2111[6:MRR:47.1,2108.0] || -> equal(inverse(sk_c7),sk_c8)**.
% 0.20/0.59 2115[6:MRR:50.1,2108.0] || -> equal(multiply(sk_c9,sk_c11),sk_c10)**.
% 0.20/0.59 2117[6:MRR:46.1,2108.0] || -> equal(multiply(sk_c7,sk_c8),sk_c10)**.
% 0.20/0.59 2144[4:SpR:1382.0,111.0] || -> equal(multiply(inverse(sk_c11),identity),sk_c1)**.
% 0.20/0.59 2146[4:Rew:1303.0,2144.0] || -> equal(multiply(sk_c10,identity),sk_c1)**.
% 0.20/0.59 2147[4:Rew:2110.0,2146.0] || -> equal(sk_c1,sk_c10)**.
% 0.20/0.59 2148[4:Rew:2147.0,1315.0] || -> equal(inverse(sk_c10),sk_c11)**.
% 0.20/0.59 2155[6:SpR:2115.0,111.0] || -> equal(multiply(inverse(sk_c9),sk_c10),sk_c11)**.
% 0.20/0.59 2157[6:Rew:1322.0,2155.0,2109.0,2155.0] || -> equal(sk_c3,sk_c11)**.
% 0.20/0.59 2159[6:Rew:2157.0,1322.0] || -> equal(multiply(sk_c10,sk_c10),sk_c11)**.
% 0.20/0.59 2160[6:Rew:2157.0,2108.0] || equal(multiply(sk_c2,sk_c11),sk_c11)** -> .
% 0.20/0.59 2167[3:SpR:1381.0,111.0] || -> equal(multiply(inverse(sk_c11),identity),sk_c2)**.
% 0.20/0.59 2169[3:Rew:1303.0,2167.0] || -> equal(multiply(sk_c10,identity),sk_c2)**.
% 0.20/0.59 2170[3:Rew:2110.0,2169.0] || -> equal(sk_c2,sk_c10)**.
% 0.20/0.59 2174[6:Rew:2170.0,2160.0] || equal(multiply(sk_c10,sk_c11),sk_c11)** -> .
% 0.20/0.59 2181[6:SpR:2117.0,111.0] || -> equal(multiply(inverse(sk_c7),sk_c10),sk_c8)**.
% 0.20/0.59 2183[6:Rew:2111.0,2181.0] || -> equal(multiply(sk_c8,sk_c10),sk_c8)**.
% 0.20/0.59 2212[6:SpR:2183.0,111.0] || -> equal(multiply(inverse(sk_c8),sk_c8),sk_c10)**.
% 0.20/0.59 2214[6:Rew:63.0,2212.0] || -> equal(identity,sk_c10)**.
% 0.20/0.59 2218[6:Rew:2214.0,747.0] || -> equal(multiply(inverse(sk_c10),u),u)**.
% 0.20/0.59 2219[6:Rew:2214.0,2110.0] || -> equal(multiply(u,sk_c10),u)**.
% 0.20/0.59 2221[6:Rew:2219.0,2159.0] || -> equal(sk_c10,sk_c11)**.
% 0.20/0.59 2230[6:Rew:2221.0,1303.0] || -> equal(inverse(sk_c11),sk_c11)**.
% 0.20/0.59 2248[6:Rew:2221.0,2174.0] || equal(multiply(sk_c11,sk_c11),sk_c11)** -> .
% 0.20/0.59 2271[6:Rew:2230.0,2218.0,2221.0,2218.0] || -> equal(multiply(sk_c11,u),u)**.
% 0.20/0.59 2272[6:Rew:2271.0,2248.0] || equal(sk_c11,sk_c11)* -> .
% 0.20/0.59 2273[6:Obv:2272.0] || -> .
% 0.20/0.59 2294[5:Spt:2273.0,39.1,1318.0] || equal(multiply(sk_c11,sk_c3),sk_c10)** -> .
% 0.20/0.59 2295[5:Spt:2273.0,39.0] || -> equal(inverse(sk_c9),sk_c10)**.
% 0.20/0.59 2302[5:MRR:37.1,2294.0] || -> equal(inverse(sk_c7),sk_c8)**.
% 0.20/0.59 2317[5:MRR:40.1,2294.0] || -> equal(multiply(sk_c9,sk_c11),sk_c10)**.
% 0.20/0.59 2319[5:MRR:36.1,2294.0] || -> equal(multiply(sk_c7,sk_c8),sk_c10)**.
% 0.20/0.59 2343[5:SpR:2317.0,111.0] || -> equal(multiply(inverse(sk_c9),sk_c10),sk_c11)**.
% 0.20/0.59 2345[5:Rew:2295.0,2343.0] || -> equal(multiply(sk_c10,sk_c10),sk_c11)**.
% 0.20/0.59 2350[5:SpR:2319.0,111.0] || -> equal(multiply(inverse(sk_c7),sk_c10),sk_c8)**.
% 0.20/0.59 2352[5:Rew:2302.0,2350.0] || -> equal(multiply(sk_c8,sk_c10),sk_c8)**.
% 0.20/0.59 2372[5:SpR:2352.0,111.0] || -> equal(multiply(inverse(sk_c8),sk_c8),sk_c10)**.
% 0.20/0.59 2374[5:Rew:63.0,2372.0] || -> equal(identity,sk_c10)**.
% 0.20/0.59 2376[5:Rew:2374.0,62.0] || -> equal(multiply(sk_c10,u),u)**.
% 0.20/0.59 2377[5:Rew:2374.0,2110.0] || -> equal(multiply(u,sk_c10),u)**.
% 0.20/0.59 2380[5:Rew:2376.0,2345.0] || -> equal(sk_c10,sk_c11)**.
% 0.20/0.59 2383[5:Rew:2376.0,1310.0] || -> equal(multiply(sk_c11,u),u)**.
% 0.20/0.59 2393[5:Rew:2380.0,2148.0] || -> equal(inverse(sk_c11),sk_c11)**.
% 0.20/0.59 2403[5:Rew:2380.0,1307.1] || equal(inverse(u),v) equal(inverse(w),sk_c11) equal(inverse(x),sk_c11) equal(inverse(y),sk_c11) equal(multiply(u,v),sk_c10)** equal(multiply(x,sk_c11),z)* equal(multiply(w,sk_c11),sk_c10)** equal(multiply(v,sk_c11),sk_c10)** equal(multiply(y,sk_c10),sk_c11)** equal(multiply(sk_c11,z),sk_c10)** -> .
% 0.20/0.59 2411[5:Rew:2380.0,2377.0] || -> equal(multiply(u,sk_c11),u)**.
% 0.20/0.59 2443[5:Rew:2383.0,2403.9,2380.0,2403.9,2411.0,2403.8,2380.0,2403.8,2411.0,2403.7,2380.0,2403.7,2411.0,2403.6,2380.0,2403.6,2411.0,2403.5,2380.0,2403.4] || equal(inverse(u),v) equal(inverse(w),sk_c11)** equal(inverse(x),sk_c11)** equal(inverse(y),sk_c11)** equal(multiply(u,v),sk_c11)** equal(x,z)* equal(w,sk_c11) equal(v,sk_c11) equal(y,sk_c11) equal(z,sk_c11)* -> .
% 0.20/0.59 2444[5:Con:2443.3] || equal(inverse(u),v) equal(inverse(w),sk_c11)** equal(inverse(x),sk_c11)** equal(multiply(u,v),sk_c11)**+ equal(x,y)* equal(w,sk_c11) equal(v,sk_c11) equal(y,sk_c11)* -> .
% 0.20/0.59 2507[5:SpL:2383.0,2444.3] || equal(inverse(sk_c11),u)* equal(inverse(v),sk_c11)** equal(inverse(w),sk_c11)** equal(u,sk_c11) equal(w,x)* equal(v,sk_c11) equal(u,sk_c11) equal(x,sk_c11)* -> .
% 0.20/0.59 2508[5:Obv:2507.3] || equal(inverse(sk_c11),u)* equal(inverse(v),sk_c11)** equal(inverse(w),sk_c11)** equal(w,x)* equal(v,sk_c11) equal(u,sk_c11) equal(x,sk_c11)* -> .
% 0.20/0.59 2509[5:Rew:2393.0,2508.0] || equal(sk_c11,u)* equal(inverse(v),sk_c11)** equal(inverse(w),sk_c11)** equal(w,x)* equal(v,sk_c11) equal(u,sk_c11)* equal(x,sk_c11)* -> .
% 0.20/0.59 2510[5:Obv:2509.0] || equal(inverse(u),sk_c11)** equal(inverse(v),sk_c11)** equal(v,w)* equal(u,sk_c11) equal(x,sk_c11)* equal(w,sk_c11)* -> .
% 0.20/0.59 2511[5:Con:2510.4] || equal(inverse(u),sk_c11)**+ equal(inverse(v),sk_c11)** equal(v,w)* equal(u,sk_c11) equal(w,sk_c11)* -> .
% 0.20/0.59 2627[5:SpL:2393.0,2511.0] || equal(sk_c11,sk_c11) equal(inverse(u),sk_c11)** equal(u,v)* equal(sk_c11,sk_c11) equal(v,sk_c11)* -> .
% 0.20/0.59 2629[5:Obv:2627.3] || equal(inverse(u),sk_c11)**+ equal(u,v)* equal(v,sk_c11)* -> .
% 0.20/0.59 2732[5:SpL:2393.0,2629.0] || equal(sk_c11,sk_c11)* equal(sk_c11,u)* equal(u,sk_c11)* -> .
% 0.20/0.59 2736[5:Obv:2732.1] || equal(u,sk_c11)* -> .
% 0.20/0.59 2737[5:AED:2736.0] || -> .
% 0.20/0.59 2738[4:Spt:2737.0,17.1,1315.0] || equal(inverse(sk_c1),sk_c11)** -> .
% 0.20/0.59 2739[4:Spt:2737.0,17.0] || -> equal(inverse(sk_c7),sk_c8)**.
% 0.20/0.59 2740[4:MRR:19.1,2738.0] || -> equal(inverse(sk_c9),sk_c10)**.
% 0.20/0.59 2743[4:MRR:20.0,2738.0] || -> equal(multiply(sk_c9,sk_c11),sk_c10)**.
% 0.20/0.59 2745[4:MRR:16.0,2738.0] || -> equal(multiply(sk_c7,sk_c8),sk_c10)**.
% 0.20/0.59 2769[4:SpR:2743.0,111.0] || -> equal(multiply(inverse(sk_c9),sk_c10),sk_c11)**.
% 0.20/0.59 2771[4:Rew:2740.0,2769.0] || -> equal(multiply(sk_c10,sk_c10),sk_c11)**.
% 0.20/0.59 2776[4:SpR:2745.0,111.0] || -> equal(multiply(inverse(sk_c7),sk_c10),sk_c8)**.
% 0.20/0.59 2778[4:Rew:2739.0,2776.0] || -> equal(multiply(sk_c8,sk_c10),sk_c8)**.
% 0.20/0.59 2798[4:SpR:2778.0,111.0] || -> equal(multiply(inverse(sk_c8),sk_c8),sk_c10)**.
% 0.20/0.59 2800[4:Rew:63.0,2798.0] || -> equal(identity,sk_c10)**.
% 0.20/0.59 2802[4:Rew:2800.0,62.0] || -> equal(multiply(sk_c10,u),u)**.
% 0.20/0.59 2803[4:Rew:2800.0,2110.0] || -> equal(multiply(u,sk_c10),u)**.
% 0.20/0.59 2806[4:Rew:2802.0,2771.0] || -> equal(sk_c10,sk_c11)**.
% 0.20/0.59 2809[4:Rew:2802.0,1310.0] || -> equal(multiply(sk_c11,u),u)**.
% 0.20/0.59 2818[4:Rew:2806.0,1303.0] || -> equal(inverse(sk_c11),sk_c11)**.
% 0.20/0.59 2827[4:Rew:2806.0,1307.1] || equal(inverse(u),v) equal(inverse(w),sk_c11) equal(inverse(x),sk_c11) equal(inverse(y),sk_c11) equal(multiply(u,v),sk_c10)** equal(multiply(x,sk_c11),z)* equal(multiply(w,sk_c11),sk_c10)** equal(multiply(v,sk_c11),sk_c10)** equal(multiply(y,sk_c10),sk_c11)** equal(multiply(sk_c11,z),sk_c10)** -> .
% 0.20/0.59 2835[4:Rew:2806.0,2803.0] || -> equal(multiply(u,sk_c11),u)**.
% 0.20/0.59 2866[4:Rew:2809.0,2827.9,2806.0,2827.9,2835.0,2827.8,2806.0,2827.8,2835.0,2827.7,2806.0,2827.7,2835.0,2827.6,2806.0,2827.6,2835.0,2827.5,2806.0,2827.4] || equal(inverse(u),v) equal(inverse(w),sk_c11)** equal(inverse(x),sk_c11)** equal(inverse(y),sk_c11)** equal(multiply(u,v),sk_c11)** equal(x,z)* equal(w,sk_c11) equal(v,sk_c11) equal(y,sk_c11) equal(z,sk_c11)* -> .
% 0.45/0.60 2867[4:Con:2866.3] || equal(inverse(u),v) equal(inverse(w),sk_c11)** equal(inverse(x),sk_c11)** equal(multiply(u,v),sk_c11)**+ equal(x,y)* equal(w,sk_c11) equal(v,sk_c11) equal(y,sk_c11)* -> .
% 0.45/0.60 2952[4:SpL:2809.0,2867.3] || equal(inverse(sk_c11),u)* equal(inverse(v),sk_c11)** equal(inverse(w),sk_c11)** equal(u,sk_c11) equal(w,x)* equal(v,sk_c11) equal(u,sk_c11) equal(x,sk_c11)* -> .
% 0.45/0.60 2953[4:Obv:2952.3] || equal(inverse(sk_c11),u)* equal(inverse(v),sk_c11)** equal(inverse(w),sk_c11)** equal(w,x)* equal(v,sk_c11) equal(u,sk_c11) equal(x,sk_c11)* -> .
% 0.45/0.60 2954[4:Rew:2818.0,2953.0] || equal(sk_c11,u)* equal(inverse(v),sk_c11)** equal(inverse(w),sk_c11)** equal(w,x)* equal(v,sk_c11) equal(u,sk_c11)* equal(x,sk_c11)* -> .
% 0.45/0.60 2955[4:Obv:2954.0] || equal(inverse(u),sk_c11)** equal(inverse(v),sk_c11)** equal(v,w)* equal(u,sk_c11) equal(x,sk_c11)* equal(w,sk_c11)* -> .
% 0.45/0.60 2956[4:Con:2955.4] || equal(inverse(u),sk_c11)**+ equal(inverse(v),sk_c11)** equal(v,w)* equal(u,sk_c11) equal(w,sk_c11)* -> .
% 0.45/0.60 3078[4:SpL:2818.0,2956.0] || equal(sk_c11,sk_c11) equal(inverse(u),sk_c11)** equal(u,v)* equal(sk_c11,sk_c11) equal(v,sk_c11)* -> .
% 0.45/0.60 3080[4:Obv:3078.3] || equal(inverse(u),sk_c11)**+ equal(u,v)* equal(v,sk_c11)* -> .
% 0.45/0.60 3160[4:SpL:2818.0,3080.0] || equal(sk_c11,sk_c11)* equal(sk_c11,u)* equal(u,sk_c11)* -> .
% 0.45/0.60 3164[4:Obv:3160.1] || equal(u,sk_c11)* -> .
% 0.45/0.60 3165[4:AED:3164.0] || -> .
% 0.45/0.60 3166[3:Spt:3165.0,57.1,1312.0] || equal(inverse(sk_c2),sk_c11)** -> .
% 0.45/0.60 3167[3:Spt:3165.0,57.0] || -> equal(inverse(sk_c7),sk_c8)**.
% 0.45/0.60 3168[3:MRR:59.1,3166.0] || -> equal(inverse(sk_c9),sk_c10)**.
% 0.45/0.60 3171[3:MRR:60.0,3166.0] || -> equal(multiply(sk_c9,sk_c11),sk_c10)**.
% 0.45/0.60 3173[3:MRR:56.0,3166.0] || -> equal(multiply(sk_c7,sk_c8),sk_c10)**.
% 0.45/0.60 3188[3:SpR:3171.0,111.0] || -> equal(multiply(inverse(sk_c9),sk_c10),sk_c11)**.
% 0.45/0.60 3190[3:Rew:3168.0,3188.0] || -> equal(multiply(sk_c10,sk_c10),sk_c11)**.
% 0.45/0.60 3195[3:SpR:3173.0,111.0] || -> equal(multiply(inverse(sk_c7),sk_c10),sk_c8)**.
% 0.45/0.60 3197[3:Rew:3167.0,3195.0] || -> equal(multiply(sk_c8,sk_c10),sk_c8)**.
% 0.45/0.60 3216[3:SpR:3197.0,111.0] || -> equal(multiply(inverse(sk_c8),sk_c8),sk_c10)**.
% 0.45/0.60 3218[3:Rew:63.0,3216.0] || -> equal(identity,sk_c10)**.
% 0.45/0.60 3219[3:Rew:3218.0,62.0] || -> equal(multiply(sk_c10,u),u)**.
% 0.45/0.60 3220[3:Rew:3218.0,2110.0] || -> equal(multiply(u,sk_c10),u)**.
% 0.45/0.60 3223[3:Rew:3219.0,3190.0] || -> equal(sk_c10,sk_c11)**.
% 0.45/0.60 3226[3:Rew:3219.0,1310.0] || -> equal(multiply(sk_c11,u),u)**.
% 0.45/0.60 3232[3:Rew:3223.0,1303.0] || -> equal(inverse(sk_c11),sk_c11)**.
% 0.45/0.60 3241[3:Rew:3223.0,1307.1] || equal(inverse(u),v) equal(inverse(w),sk_c11) equal(inverse(x),sk_c11) equal(inverse(y),sk_c11) equal(multiply(u,v),sk_c10)** equal(multiply(x,sk_c11),z)* equal(multiply(w,sk_c11),sk_c10)** equal(multiply(v,sk_c11),sk_c10)** equal(multiply(y,sk_c10),sk_c11)** equal(multiply(sk_c11,z),sk_c10)** -> .
% 0.45/0.60 3249[3:Rew:3223.0,3220.0] || -> equal(multiply(u,sk_c11),u)**.
% 0.45/0.60 3280[3:Rew:3226.0,3241.9,3223.0,3241.9,3249.0,3241.8,3223.0,3241.8,3249.0,3241.7,3223.0,3241.7,3249.0,3241.6,3223.0,3241.6,3249.0,3241.5,3223.0,3241.4] || equal(inverse(u),v) equal(inverse(w),sk_c11)** equal(inverse(x),sk_c11)** equal(inverse(y),sk_c11)** equal(multiply(u,v),sk_c11)** equal(x,z)* equal(w,sk_c11) equal(v,sk_c11) equal(y,sk_c11) equal(z,sk_c11)* -> .
% 0.45/0.60 3281[3:Con:3280.3] || equal(inverse(u),v) equal(inverse(w),sk_c11)** equal(inverse(x),sk_c11)** equal(multiply(u,v),sk_c11)**+ equal(x,y)* equal(w,sk_c11) equal(v,sk_c11) equal(y,sk_c11)* -> .
% 0.45/0.60 3365[3:SpL:3226.0,3281.3] || equal(inverse(sk_c11),u)* equal(inverse(v),sk_c11)** equal(inverse(w),sk_c11)** equal(u,sk_c11) equal(w,x)* equal(v,sk_c11) equal(u,sk_c11) equal(x,sk_c11)* -> .
% 0.45/0.60 3366[3:Obv:3365.3] || equal(inverse(sk_c11),u)* equal(inverse(v),sk_c11)** equal(inverse(w),sk_c11)** equal(w,x)* equal(v,sk_c11) equal(u,sk_c11) equal(x,sk_c11)* -> .
% 0.45/0.60 3367[3:Rew:3232.0,3366.0] || equal(sk_c11,u)* equal(inverse(v),sk_c11)** equal(inverse(w),sk_c11)** equal(w,x)* equal(v,sk_c11) equal(u,sk_c11)* equal(x,sk_c11)* -> .
% 0.45/0.60 3368[3:Obv:3367.0] || equal(inverse(u),sk_c11)** equal(inverse(v),sk_c11)** equal(v,w)* equal(u,sk_c11) equal(x,sk_c11)* equal(w,sk_c11)* -> .
% 0.45/0.60 3369[3:Con:3368.4] || equal(inverse(u),sk_c11)**+ equal(inverse(v),sk_c11)** equal(v,w)* equal(u,sk_c11) equal(w,sk_c11)* -> .
% 0.45/0.60 3491[3:SpL:3232.0,3369.0] || equal(sk_c11,sk_c11) equal(inverse(u),sk_c11)** equal(u,v)* equal(sk_c11,sk_c11) equal(v,sk_c11)* -> .
% 0.45/0.60 3493[3:Obv:3491.3] || equal(inverse(u),sk_c11)**+ equal(u,v)* equal(v,sk_c11)* -> .
% 0.45/0.60 3573[3:SpL:3232.0,3493.0] || equal(sk_c11,sk_c11)* equal(sk_c11,u)* equal(u,sk_c11)* -> .
% 0.45/0.60 3577[3:Obv:3573.1] || equal(u,sk_c11)* -> .
% 0.45/0.60 3578[3:AED:3577.0] || -> .
% 0.45/0.60 3579[2:Spt:3578.0,9.1,1303.0] || equal(inverse(sk_c11),sk_c10)** -> .
% 0.45/0.60 3580[2:Spt:3578.0,9.0] || -> equal(inverse(sk_c9),sk_c10)**.
% 0.45/0.60 3582[2:MRR:2.1,3579.0] || -> equal(inverse(sk_c4),sk_c5)**.
% 0.45/0.60 3583[2:MRR:7.1,3579.0] || -> equal(inverse(sk_c7),sk_c8)**.
% 0.45/0.60 3584[2:MRR:10.0,3579.0] || -> equal(multiply(sk_c9,sk_c11),sk_c10)**.
% 0.45/0.60 3586[2:MRR:6.0,3579.0] || -> equal(multiply(sk_c7,sk_c8),sk_c10)**.
% 0.45/0.60 3588[2:MRR:3.0,3579.0] || -> equal(multiply(sk_c5,sk_c10),sk_c11)**.
% 0.45/0.60 3589[2:MRR:1.0,3579.0] || -> equal(multiply(sk_c4,sk_c5),sk_c11)**.
% 0.45/0.60 3599[2:SpR:3584.0,111.0] || -> equal(multiply(inverse(sk_c9),sk_c10),sk_c11)**.
% 0.45/0.60 3601[2:Rew:3580.0,3599.0] || -> equal(multiply(sk_c10,sk_c10),sk_c11)**.
% 0.45/0.60 3606[2:SpR:3586.0,111.0] || -> equal(multiply(inverse(sk_c7),sk_c10),sk_c8)**.
% 0.45/0.60 3608[2:Rew:3583.0,3606.0] || -> equal(multiply(sk_c8,sk_c10),sk_c8)**.
% 0.45/0.60 3627[2:SpR:3608.0,111.0] || -> equal(multiply(inverse(sk_c8),sk_c8),sk_c10)**.
% 0.45/0.60 3629[2:Rew:63.0,3627.0] || -> equal(identity,sk_c10)**.
% 0.45/0.60 3630[2:Rew:3629.0,62.0] || -> equal(multiply(sk_c10,u),u)**.
% 0.45/0.60 3631[2:Rew:3629.0,2110.0] || -> equal(multiply(u,sk_c10),u)**.
% 0.45/0.60 3634[2:Rew:3630.0,3601.0] || -> equal(sk_c10,sk_c11)**.
% 0.45/0.60 3643[2:Rew:3634.0,3579.0] || equal(inverse(sk_c11),sk_c11)** -> .
% 0.45/0.60 3648[2:Rew:3634.0,3588.0] || -> equal(multiply(sk_c5,sk_c11),sk_c11)**.
% 0.45/0.60 3656[2:Rew:3634.0,3631.0] || -> equal(multiply(u,sk_c11),u)**.
% 0.45/0.60 3667[2:Rew:3656.0,3648.0] || -> equal(sk_c5,sk_c11)**.
% 0.45/0.60 3668[2:Rew:3667.0,3582.0] || -> equal(inverse(sk_c4),sk_c11)**.
% 0.45/0.60 3669[2:Rew:3667.0,3589.0] || -> equal(multiply(sk_c4,sk_c11),sk_c11)**.
% 0.45/0.60 3672[2:Rew:3656.0,3669.0] || -> equal(sk_c4,sk_c11)**.
% 0.45/0.60 3673[2:Rew:3672.0,3668.0] || -> equal(inverse(sk_c11),sk_c11)**.
% 0.45/0.60 3674[2:MRR:3673.0,3643.0] || -> .
% 0.45/0.60 % SZS output end Refutation
% 0.45/0.60 Formulae used in the proof : prove_this_1 prove_this_2 prove_this_3 prove_this_6 prove_this_7 prove_this_8 prove_this_9 prove_this_10 prove_this_16 prove_this_17 prove_this_19 prove_this_20 prove_this_24 prove_this_27 prove_this_29 prove_this_30 prove_this_31 prove_this_32 prove_this_34 prove_this_36 prove_this_37 prove_this_39 prove_this_40 prove_this_46 prove_this_47 prove_this_49 prove_this_50 prove_this_56 prove_this_57 prove_this_59 prove_this_60 prove_this_61 left_identity left_inverse associativity
% 0.45/0.60
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