TSTP Solution File: GRP237-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GRP237-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n022.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 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP237-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 14 13:03:03 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50
% 0.19/0.50 SPASS V 3.9
% 0.19/0.50 SPASS beiseite: Proof found.
% 0.19/0.50 % SZS status Theorem
% 0.19/0.50 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.50 SPASS derived 1101 clauses, backtracked 453 clauses, performed 11 splits and kept 843 clauses.
% 0.19/0.50 SPASS allocated 63809 KBytes.
% 0.19/0.50 SPASS spent 0:00:00.14 on the problem.
% 0.19/0.50 0:00:00.04 for the input.
% 0.19/0.50 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.50 0:00:00.01 for inferences.
% 0.19/0.50 0:00:00.00 for the backtracking.
% 0.19/0.50 0:00:00.07 for the reduction.
% 0.19/0.50
% 0.19/0.50
% 0.19/0.50 Here is a proof with depth 5, length 489 :
% 0.19/0.50 % SZS output start Refutation
% 0.19/0.50 1[0:Inp] || -> equal(inverse(sk_c9),sk_c8) equal(multiply(sk_c4,sk_c5),sk_c9)**.
% 0.19/0.50 2[0:Inp] || -> equal(inverse(sk_c4),sk_c5) equal(inverse(sk_c9),sk_c8)**.
% 0.19/0.50 3[0:Inp] || -> equal(inverse(sk_c9),sk_c8) equal(multiply(sk_c5,sk_c8),sk_c9)**.
% 0.19/0.50 4[0:Inp] || -> equal(inverse(sk_c9),sk_c8) equal(multiply(sk_c9,sk_c7),sk_c8)**.
% 0.19/0.50 5[0:Inp] || -> equal(inverse(sk_c9),sk_c8) equal(multiply(sk_c6,sk_c9),sk_c7)**.
% 0.19/0.50 6[0:Inp] || -> equal(inverse(sk_c6),sk_c9) equal(inverse(sk_c9),sk_c8)**.
% 0.19/0.50 7[0:Inp] || -> equal(inverse(sk_c1),sk_c9) equal(multiply(sk_c4,sk_c5),sk_c9)**.
% 0.19/0.50 8[0:Inp] || -> equal(inverse(sk_c4),sk_c5) equal(inverse(sk_c1),sk_c9)**.
% 0.19/0.50 9[0:Inp] || -> equal(inverse(sk_c1),sk_c9) equal(multiply(sk_c5,sk_c8),sk_c9)**.
% 0.19/0.50 10[0:Inp] || -> equal(inverse(sk_c1),sk_c9) equal(multiply(sk_c9,sk_c7),sk_c8)**.
% 0.19/0.50 11[0:Inp] || -> equal(inverse(sk_c1),sk_c9) equal(multiply(sk_c6,sk_c9),sk_c7)**.
% 0.19/0.50 12[0:Inp] || -> equal(inverse(sk_c6),sk_c9) equal(inverse(sk_c1),sk_c9)**.
% 0.19/0.50 13[0:Inp] || -> equal(multiply(sk_c4,sk_c5),sk_c9) equal(multiply(sk_c1,sk_c8),sk_c9)**.
% 0.19/0.50 14[0:Inp] || -> equal(inverse(sk_c4),sk_c5) equal(multiply(sk_c1,sk_c8),sk_c9)**.
% 0.19/0.50 15[0:Inp] || -> equal(multiply(sk_c5,sk_c8),sk_c9) equal(multiply(sk_c1,sk_c8),sk_c9)**.
% 0.19/0.50 17[0:Inp] || -> equal(multiply(sk_c6,sk_c9),sk_c7) equal(multiply(sk_c1,sk_c8),sk_c9)**.
% 0.19/0.50 18[0:Inp] || -> equal(inverse(sk_c6),sk_c9) equal(multiply(sk_c1,sk_c8),sk_c9)**.
% 0.19/0.50 19[0:Inp] || -> equal(multiply(sk_c4,sk_c5),sk_c9) equal(multiply(sk_c9,sk_c3),sk_c8)**.
% 0.19/0.50 20[0:Inp] || -> equal(inverse(sk_c4),sk_c5) equal(multiply(sk_c9,sk_c3),sk_c8)**.
% 0.19/0.50 21[0:Inp] || -> equal(multiply(sk_c5,sk_c8),sk_c9) equal(multiply(sk_c9,sk_c3),sk_c8)**.
% 0.19/0.50 22[0:Inp] || -> equal(multiply(sk_c9,sk_c7),sk_c8) equal(multiply(sk_c9,sk_c3),sk_c8)**.
% 0.19/0.50 23[0:Inp] || -> equal(multiply(sk_c6,sk_c9),sk_c7) equal(multiply(sk_c9,sk_c3),sk_c8)**.
% 0.19/0.50 24[0:Inp] || -> equal(inverse(sk_c6),sk_c9) equal(multiply(sk_c9,sk_c3),sk_c8)**.
% 0.19/0.50 25[0:Inp] || -> equal(multiply(sk_c4,sk_c5),sk_c9) equal(multiply(sk_c2,sk_c9),sk_c3)**.
% 0.19/0.50 26[0:Inp] || -> equal(inverse(sk_c4),sk_c5) equal(multiply(sk_c2,sk_c9),sk_c3)**.
% 0.19/0.50 27[0:Inp] || -> equal(multiply(sk_c5,sk_c8),sk_c9) equal(multiply(sk_c2,sk_c9),sk_c3)**.
% 0.19/0.50 28[0:Inp] || -> equal(multiply(sk_c9,sk_c7),sk_c8)** equal(multiply(sk_c2,sk_c9),sk_c3).
% 0.19/0.50 29[0:Inp] || -> equal(multiply(sk_c6,sk_c9),sk_c7) equal(multiply(sk_c2,sk_c9),sk_c3)**.
% 0.19/0.50 30[0:Inp] || -> equal(inverse(sk_c6),sk_c9) equal(multiply(sk_c2,sk_c9),sk_c3)**.
% 0.19/0.50 31[0:Inp] || -> equal(inverse(sk_c2),sk_c9) equal(multiply(sk_c4,sk_c5),sk_c9)**.
% 0.19/0.50 32[0:Inp] || -> equal(inverse(sk_c4),sk_c5) equal(inverse(sk_c2),sk_c9)**.
% 0.19/0.50 33[0:Inp] || -> equal(inverse(sk_c2),sk_c9) equal(multiply(sk_c5,sk_c8),sk_c9)**.
% 0.19/0.50 34[0:Inp] || -> equal(inverse(sk_c2),sk_c9) equal(multiply(sk_c9,sk_c7),sk_c8)**.
% 0.19/0.50 35[0:Inp] || -> equal(inverse(sk_c2),sk_c9) equal(multiply(sk_c6,sk_c9),sk_c7)**.
% 0.19/0.50 36[0:Inp] || -> equal(inverse(sk_c6),sk_c9) equal(inverse(sk_c2),sk_c9)**.
% 0.19/0.50 37[0:Inp] || equal(inverse(sk_c9),sk_c8) equal(inverse(u),sk_c9) equal(multiply(u,sk_c8),sk_c9)** equal(multiply(sk_c9,v),sk_c8)** equal(multiply(w,sk_c9),v)* equal(inverse(w),sk_c9) equal(multiply(x,y),sk_c9)** equal(inverse(x),y) equal(multiply(y,sk_c8),sk_c9)** equal(multiply(sk_c9,z),sk_c8)** equal(multiply(x1,sk_c9),z)* equal(inverse(x1),sk_c9) -> .
% 0.19/0.50 38[0:Inp] || -> equal(multiply(identity,u),u)**.
% 0.19/0.50 39[0:Inp] || -> equal(multiply(inverse(u),u),identity)**.
% 0.19/0.50 40[0:Inp] || -> equal(multiply(multiply(u,v),w),multiply(u,multiply(v,w)))**.
% 0.19/0.50 41[0:Con:37.9] || equal(inverse(u),v) equal(inverse(w),sk_c9) equal(inverse(x),sk_c9) equal(inverse(sk_c9),sk_c8) equal(multiply(u,v),sk_c9)**+ equal(multiply(w,sk_c9),y)* equal(multiply(v,sk_c8),sk_c9)** equal(multiply(x,sk_c8),sk_c9)** equal(multiply(sk_c9,y),sk_c8)** -> .
% 0.19/0.50 42[1:Spt:41.0,41.4,41.6] || equal(inverse(u),v) equal(multiply(u,v),sk_c9)**+ equal(multiply(v,sk_c8),sk_c9)** -> .
% 0.19/0.50 43[2:Spt:2.0] || -> equal(inverse(sk_c4),sk_c5)**.
% 0.19/0.50 45[3:Spt:6.0] || -> equal(inverse(sk_c6),sk_c9)**.
% 0.19/0.50 47[4:Spt:5.1] || -> equal(multiply(sk_c6,sk_c9),sk_c7)**.
% 0.19/0.50 49[4:SpL:47.0,42.1] || equal(inverse(sk_c6),sk_c9) equal(sk_c9,sk_c7) equal(multiply(sk_c9,sk_c8),sk_c9)** -> .
% 0.19/0.50 50[4:Rew:45.0,49.0] || equal(sk_c9,sk_c9) equal(sk_c9,sk_c7) equal(multiply(sk_c9,sk_c8),sk_c9)** -> .
% 0.19/0.50 51[4:Obv:50.0] || equal(sk_c9,sk_c7) equal(multiply(sk_c9,sk_c8),sk_c9)** -> .
% 0.19/0.50 52[5:Spt:1.1] || -> equal(multiply(sk_c4,sk_c5),sk_c9)**.
% 0.19/0.50 54[5:SpL:52.0,42.1] || equal(inverse(sk_c4),sk_c5) equal(sk_c9,sk_c9) equal(multiply(sk_c5,sk_c8),sk_c9)** -> .
% 0.19/0.50 55[5:Obv:54.1] || equal(inverse(sk_c4),sk_c5) equal(multiply(sk_c5,sk_c8),sk_c9)** -> .
% 0.19/0.50 56[5:Rew:43.0,55.0] || equal(sk_c5,sk_c5) equal(multiply(sk_c5,sk_c8),sk_c9)** -> .
% 0.19/0.50 57[5:Obv:56.0] || equal(multiply(sk_c5,sk_c8),sk_c9)** -> .
% 0.19/0.50 58[5:MRR:33.1,57.0] || -> equal(inverse(sk_c2),sk_c9)**.
% 0.19/0.50 59[5:MRR:9.1,57.0] || -> equal(inverse(sk_c1),sk_c9)**.
% 0.19/0.50 60[5:MRR:3.1,57.0] || -> equal(inverse(sk_c9),sk_c8)**.
% 0.19/0.50 61[5:MRR:27.0,57.0] || -> equal(multiply(sk_c2,sk_c9),sk_c3)**.
% 0.19/0.50 62[5:MRR:21.0,57.0] || -> equal(multiply(sk_c9,sk_c3),sk_c8)**.
% 0.19/0.50 63[5:MRR:15.0,57.0] || -> equal(multiply(sk_c1,sk_c8),sk_c9)**.
% 0.19/0.50 79[1:SpL:38.0,42.1] || equal(inverse(identity),u) equal(u,sk_c9) equal(multiply(u,sk_c8),sk_c9)** -> .
% 0.19/0.50 82[3:SpR:45.0,39.0] || -> equal(multiply(sk_c9,sk_c6),identity)**.
% 0.19/0.50 85[5:SpR:60.0,39.0] || -> equal(multiply(sk_c8,sk_c9),identity)**.
% 0.19/0.50 86[1:SpL:39.0,42.1] || equal(inverse(inverse(u)),u) equal(sk_c9,identity) equal(multiply(u,sk_c8),sk_c9)** -> .
% 0.19/0.50 95[0:SpR:39.0,40.0] || -> equal(multiply(inverse(u),multiply(u,v)),multiply(identity,v))**.
% 0.19/0.50 97[0:Rew:38.0,95.0] || -> equal(multiply(inverse(u),multiply(u,v)),v)**.
% 0.19/0.50 103[3:SpR:82.0,40.0] || -> equal(multiply(sk_c9,multiply(sk_c6,u)),multiply(identity,u))**.
% 0.19/0.50 105[3:SpL:82.0,42.1] || equal(inverse(sk_c9),sk_c6) equal(sk_c9,identity) equal(multiply(sk_c6,sk_c8),sk_c9)** -> .
% 0.19/0.50 106[3:Rew:38.0,103.0] || -> equal(multiply(sk_c9,multiply(sk_c6,u)),u)**.
% 0.19/0.50 134[4:SpR:47.0,106.0] || -> equal(multiply(sk_c9,sk_c7),sk_c9)**.
% 0.19/0.50 135[3:SpL:106.0,42.1] || equal(multiply(sk_c6,u),inverse(sk_c9)) equal(u,sk_c9) equal(multiply(multiply(sk_c6,u),sk_c8),sk_c9)** -> .
% 0.19/0.50 137[5:Rew:40.0,135.2,60.0,135.0] || equal(multiply(sk_c6,u),sk_c8) equal(u,sk_c9) equal(multiply(sk_c6,multiply(u,sk_c8)),sk_c9)** -> .
% 0.19/0.50 144[0:SpR:97.0,97.0] || -> equal(multiply(inverse(inverse(u)),v),multiply(u,v))**.
% 0.19/0.50 146[5:SpR:63.0,97.0] || -> equal(multiply(inverse(sk_c1),sk_c9),sk_c8)**.
% 0.19/0.50 148[5:SpR:61.0,97.0] || -> equal(multiply(inverse(sk_c2),sk_c3),sk_c9)**.
% 0.19/0.50 152[3:SpR:82.0,97.0] || -> equal(multiply(inverse(sk_c9),identity),sk_c6)**.
% 0.19/0.50 156[4:SpR:134.0,97.0] || -> equal(multiply(inverse(sk_c9),sk_c9),sk_c7)**.
% 0.19/0.50 158[0:SpR:39.0,97.0] || -> equal(multiply(inverse(inverse(u)),identity),u)**.
% 0.19/0.50 169[5:Rew:59.0,146.0] || -> equal(multiply(sk_c9,sk_c9),sk_c8)**.
% 0.19/0.50 171[5:Rew:62.0,148.0,58.0,148.0] || -> equal(sk_c9,sk_c8)**.
% 0.19/0.50 183[5:Rew:171.0,82.0] || -> equal(multiply(sk_c8,sk_c6),identity)**.
% 0.19/0.50 186[5:Rew:171.0,85.0] || -> equal(multiply(sk_c8,sk_c8),identity)**.
% 0.19/0.50 196[5:Rew:171.0,137.1] || equal(multiply(sk_c6,u),sk_c8) equal(u,sk_c8) equal(multiply(sk_c6,multiply(u,sk_c8)),sk_c9)** -> .
% 0.19/0.50 216[5:Rew:171.0,169.0] || -> equal(multiply(sk_c8,sk_c8),sk_c8)**.
% 0.19/0.50 217[5:Rew:186.0,216.0] || -> equal(identity,sk_c8)**.
% 0.19/0.50 218[5:Rew:217.0,38.0] || -> equal(multiply(sk_c8,u),u)**.
% 0.19/0.50 221[5:Rew:217.0,183.0] || -> equal(multiply(sk_c8,sk_c6),sk_c8)**.
% 0.19/0.50 229[5:Rew:218.0,221.0] || -> equal(sk_c6,sk_c8)**.
% 0.19/0.50 250[5:Rew:217.0,158.0] || -> equal(multiply(inverse(inverse(u)),sk_c8),u)**.
% 0.19/0.50 263[5:Rew:144.0,250.0] || -> equal(multiply(u,sk_c8),u)**.
% 0.19/0.50 300[5:Rew:218.0,196.2,229.0,196.2,263.0,196.2,171.0,196.2,218.0,196.0,229.0,196.0] || equal(u,sk_c8)* equal(u,sk_c8)* equal(u,sk_c8)* -> .
% 0.19/0.50 301[5:Obv:300.1] || equal(u,sk_c8)* -> .
% 0.19/0.50 302[5:UnC:301.0,97.0] || -> .
% 0.19/0.50 307[5:Spt:302.0,1.1,52.0] || equal(multiply(sk_c4,sk_c5),sk_c9)** -> .
% 0.19/0.50 308[5:Spt:302.0,1.0] || -> equal(inverse(sk_c9),sk_c8)**.
% 0.19/0.50 309[5:Rew:308.0,152.0] || -> equal(multiply(sk_c8,identity),sk_c6)**.
% 0.19/0.50 310[5:Rew:308.0,156.0] || -> equal(multiply(sk_c8,sk_c9),sk_c7)**.
% 0.19/0.50 312[0:Rew:144.0,158.0] || -> equal(multiply(u,identity),u)**.
% 0.19/0.50 313[5:Rew:312.0,309.0] || -> equal(sk_c6,sk_c8)**.
% 0.19/0.50 315[5:Rew:313.0,82.0] || -> equal(multiply(sk_c9,sk_c8),identity)**.
% 0.19/0.50 320[5:MRR:31.1,307.0] || -> equal(inverse(sk_c2),sk_c9)**.
% 0.19/0.50 321[5:MRR:7.1,307.0] || -> equal(inverse(sk_c1),sk_c9)**.
% 0.19/0.50 323[5:MRR:25.0,307.0] || -> equal(multiply(sk_c2,sk_c9),sk_c3)**.
% 0.19/0.50 324[5:MRR:19.0,307.0] || -> equal(multiply(sk_c9,sk_c3),sk_c8)**.
% 0.19/0.50 325[5:MRR:13.0,307.0] || -> equal(multiply(sk_c1,sk_c8),sk_c9)**.
% 0.19/0.50 326[5:Rew:315.0,51.1] || equal(sk_c9,sk_c7) equal(sk_c9,identity)** -> .
% 0.19/0.50 349[5:SpR:323.0,97.0] || -> equal(multiply(inverse(sk_c2),sk_c3),sk_c9)**.
% 0.19/0.50 351[5:Rew:320.0,349.0] || -> equal(multiply(sk_c9,sk_c3),sk_c9)**.
% 0.19/0.50 352[5:Rew:324.0,351.0] || -> equal(sk_c9,sk_c8)**.
% 0.19/0.50 356[5:Rew:352.0,321.0] || -> equal(inverse(sk_c1),sk_c8)**.
% 0.19/0.50 359[5:Rew:352.0,310.0] || -> equal(multiply(sk_c8,sk_c8),sk_c7)**.
% 0.19/0.50 361[5:Rew:352.0,315.0] || -> equal(multiply(sk_c8,sk_c8),identity)**.
% 0.19/0.50 364[5:Rew:352.0,325.0] || -> equal(multiply(sk_c1,sk_c8),sk_c8)**.
% 0.19/0.50 365[5:Rew:352.0,326.0] || equal(sk_c7,sk_c8) equal(sk_c9,identity)** -> .
% 0.19/0.50 379[5:Rew:359.0,361.0] || -> equal(identity,sk_c7)**.
% 0.19/0.50 385[5:Rew:352.0,365.1,379.0,365.1] || equal(sk_c7,sk_c8)** equal(sk_c7,sk_c8)** -> .
% 0.19/0.50 386[5:Obv:385.0] || equal(sk_c7,sk_c8)** -> .
% 0.19/0.50 426[5:SpR:364.0,97.0] || -> equal(multiply(inverse(sk_c1),sk_c8),sk_c8)**.
% 0.19/0.50 428[5:Rew:359.0,426.0,356.0,426.0] || -> equal(sk_c7,sk_c8)**.
% 0.19/0.50 429[5:MRR:428.0,386.0] || -> .
% 0.19/0.50 430[4:Spt:429.0,5.1,47.0] || equal(multiply(sk_c6,sk_c9),sk_c7)** -> .
% 0.19/0.50 431[4:Spt:429.0,5.0] || -> equal(inverse(sk_c9),sk_c8)**.
% 0.19/0.50 432[4:Rew:312.0,152.0,431.0,152.0] || -> equal(sk_c6,sk_c8)**.
% 0.19/0.50 434[4:Rew:432.0,82.0] || -> equal(multiply(sk_c9,sk_c8),identity)**.
% 0.19/0.50 435[4:Rew:432.0,430.0] || equal(multiply(sk_c8,sk_c9),sk_c7)** -> .
% 0.19/0.50 439[4:Rew:432.0,35.1] || -> equal(inverse(sk_c2),sk_c9) equal(multiply(sk_c8,sk_c9),sk_c7)**.
% 0.19/0.50 440[4:MRR:439.1,435.0] || -> equal(inverse(sk_c2),sk_c9)**.
% 0.19/0.50 441[4:Rew:432.0,11.1] || -> equal(inverse(sk_c1),sk_c9) equal(multiply(sk_c8,sk_c9),sk_c7)**.
% 0.19/0.50 442[4:MRR:441.1,435.0] || -> equal(inverse(sk_c1),sk_c9)**.
% 0.19/0.50 443[4:Rew:432.0,29.0] || -> equal(multiply(sk_c8,sk_c9),sk_c7) equal(multiply(sk_c2,sk_c9),sk_c3)**.
% 0.19/0.50 444[4:MRR:443.0,435.0] || -> equal(multiply(sk_c2,sk_c9),sk_c3)**.
% 0.19/0.50 445[4:Rew:432.0,23.0] || -> equal(multiply(sk_c8,sk_c9),sk_c7) equal(multiply(sk_c9,sk_c3),sk_c8)**.
% 0.19/0.50 446[4:MRR:445.0,435.0] || -> equal(multiply(sk_c9,sk_c3),sk_c8)**.
% 0.19/0.50 447[4:Rew:432.0,17.0] || -> equal(multiply(sk_c8,sk_c9),sk_c7) equal(multiply(sk_c1,sk_c8),sk_c9)**.
% 0.19/0.50 448[4:MRR:447.0,435.0] || -> equal(multiply(sk_c1,sk_c8),sk_c9)**.
% 0.19/0.50 449[4:Rew:432.0,105.2,431.0,105.0,432.0,105.0] || equal(sk_c8,sk_c8) equal(sk_c9,identity) equal(multiply(sk_c8,sk_c8),sk_c9)** -> .
% 0.19/0.50 450[4:Obv:449.0] || equal(sk_c9,identity) equal(multiply(sk_c8,sk_c8),sk_c9)** -> .
% 0.19/0.50 464[4:SpR:444.0,97.0] || -> equal(multiply(inverse(sk_c2),sk_c3),sk_c9)**.
% 0.19/0.50 466[4:Rew:440.0,464.0] || -> equal(multiply(sk_c9,sk_c3),sk_c9)**.
% 0.19/0.50 467[4:Rew:446.0,466.0] || -> equal(sk_c9,sk_c8)**.
% 0.19/0.50 468[4:Rew:467.0,431.0] || -> equal(inverse(sk_c8),sk_c8)**.
% 0.19/0.50 471[4:Rew:467.0,442.0] || -> equal(inverse(sk_c1),sk_c8)**.
% 0.19/0.50 473[4:Rew:467.0,434.0] || -> equal(multiply(sk_c8,sk_c8),identity)**.
% 0.19/0.50 476[4:Rew:467.0,446.0] || -> equal(multiply(sk_c8,sk_c3),sk_c8)**.
% 0.19/0.50 477[4:Rew:467.0,448.0] || -> equal(multiply(sk_c1,sk_c8),sk_c8)**.
% 0.19/0.50 480[4:Rew:467.0,450.0] || equal(identity,sk_c8) equal(multiply(sk_c8,sk_c8),sk_c9)** -> .
% 0.19/0.50 492[4:Rew:473.0,480.1,467.0,480.1] || equal(identity,sk_c8)** equal(identity,sk_c8)** -> .
% 0.19/0.50 493[4:Obv:492.0] || equal(identity,sk_c8)** -> .
% 0.19/0.50 521[4:SpR:476.0,97.0] || -> equal(multiply(inverse(sk_c8),sk_c8),sk_c3)**.
% 0.19/0.50 523[4:Rew:468.0,521.0] || -> equal(multiply(sk_c8,sk_c8),sk_c3)**.
% 0.19/0.50 524[4:Rew:473.0,523.0] || -> equal(identity,sk_c3)**.
% 0.19/0.50 526[4:Rew:524.0,493.0] || equal(sk_c3,sk_c8)** -> .
% 0.19/0.50 533[4:Rew:524.0,473.0] || -> equal(multiply(sk_c8,sk_c8),sk_c3)**.
% 0.19/0.50 538[4:SpR:477.0,97.0] || -> equal(multiply(inverse(sk_c1),sk_c8),sk_c8)**.
% 0.19/0.50 540[4:Rew:471.0,538.0] || -> equal(multiply(sk_c8,sk_c8),sk_c8)**.
% 0.19/0.50 541[4:Rew:533.0,540.0] || -> equal(sk_c3,sk_c8)**.
% 0.19/0.50 542[4:MRR:541.0,526.0] || -> .
% 0.19/0.50 543[3:Spt:542.0,6.0,45.0] || equal(inverse(sk_c6),sk_c9)** -> .
% 0.19/0.50 544[3:Spt:542.0,6.1] || -> equal(inverse(sk_c9),sk_c8)**.
% 0.19/0.50 545[3:MRR:36.0,543.0] || -> equal(inverse(sk_c2),sk_c9)**.
% 0.19/0.50 546[3:MRR:12.0,543.0] || -> equal(inverse(sk_c1),sk_c9)**.
% 0.19/0.50 547[3:MRR:30.0,543.0] || -> equal(multiply(sk_c2,sk_c9),sk_c3)**.
% 0.19/0.50 548[3:MRR:24.0,543.0] || -> equal(multiply(sk_c9,sk_c3),sk_c8)**.
% 0.19/0.50 549[3:MRR:18.0,543.0] || -> equal(multiply(sk_c1,sk_c8),sk_c9)**.
% 0.19/0.50 553[3:SpR:544.0,97.0] || -> equal(multiply(sk_c8,multiply(sk_c9,u)),u)**.
% 0.19/0.50 565[3:SpR:547.0,97.0] || -> equal(multiply(inverse(sk_c2),sk_c3),sk_c9)**.
% 0.19/0.50 567[3:Rew:545.0,565.0] || -> equal(multiply(sk_c9,sk_c3),sk_c9)**.
% 0.19/0.50 568[3:Rew:548.0,567.0] || -> equal(sk_c9,sk_c8)**.
% 0.19/0.50 569[3:Rew:568.0,544.0] || -> equal(inverse(sk_c8),sk_c8)**.
% 0.19/0.50 570[3:Rew:568.0,545.0] || -> equal(inverse(sk_c2),sk_c8)**.
% 0.19/0.50 571[3:Rew:568.0,546.0] || -> equal(inverse(sk_c1),sk_c8)**.
% 0.19/0.50 574[3:Rew:568.0,548.0] || -> equal(multiply(sk_c8,sk_c3),sk_c8)**.
% 0.19/0.50 575[3:Rew:568.0,549.0] || -> equal(multiply(sk_c1,sk_c8),sk_c8)**.
% 0.19/0.50 578[3:Rew:568.0,86.2] || equal(inverse(inverse(u)),u) equal(sk_c9,identity) equal(multiply(u,sk_c8),sk_c8)** -> .
% 0.19/0.50 583[3:Rew:568.0,553.0] || -> equal(multiply(sk_c8,multiply(sk_c8,u)),u)**.
% 0.19/0.50 589[3:Rew:568.0,578.1] || equal(inverse(inverse(u)),u) equal(identity,sk_c8) equal(multiply(u,sk_c8),sk_c8)** -> .
% 0.19/0.50 605[3:SpR:574.0,40.0] || -> equal(multiply(sk_c8,multiply(sk_c3,u)),multiply(sk_c8,u))**.
% 0.19/0.50 606[3:SpR:574.0,97.0] || -> equal(multiply(inverse(sk_c8),sk_c8),sk_c3)**.
% 0.19/0.50 608[3:Rew:569.0,606.0] || -> equal(multiply(sk_c8,sk_c8),sk_c3)**.
% 0.19/0.50 610[3:SpR:575.0,97.0] || -> equal(multiply(inverse(sk_c1),sk_c8),sk_c8)**.
% 0.19/0.50 612[3:Rew:571.0,610.0] || -> equal(multiply(sk_c8,sk_c8),sk_c8)**.
% 0.19/0.50 613[3:Rew:608.0,612.0] || -> equal(sk_c3,sk_c8)**.
% 0.19/0.50 617[3:Rew:613.0,605.0] || -> equal(multiply(sk_c8,multiply(sk_c8,u)),multiply(sk_c8,u))**.
% 0.19/0.50 619[3:Rew:583.0,617.0] || -> equal(multiply(sk_c8,u),u)**.
% 0.19/0.50 630[0:SpR:39.0,97.0] || -> equal(multiply(inverse(inverse(u)),identity),u)**.
% 0.19/0.50 634[3:SpR:570.0,39.0] || -> equal(multiply(sk_c8,sk_c2),identity)**.
% 0.19/0.50 635[3:SpR:569.0,39.0] || -> equal(multiply(sk_c8,sk_c8),identity)**.
% 0.19/0.50 637[3:Rew:619.0,634.0] || -> equal(identity,sk_c2)**.
% 0.19/0.50 641[3:Rew:637.0,312.0] || -> equal(multiply(u,sk_c2),u)**.
% 0.19/0.50 644[3:Rew:637.0,589.1] || equal(inverse(inverse(u)),u) equal(sk_c2,sk_c8) equal(multiply(u,sk_c8),sk_c8)** -> .
% 0.19/0.50 647[3:Rew:619.0,635.0,637.0,635.0] || -> equal(sk_c2,sk_c8)**.
% 0.19/0.50 650[3:Rew:647.0,637.0] || -> equal(identity,sk_c8)**.
% 0.19/0.50 656[3:Rew:647.0,641.0] || -> equal(multiply(u,sk_c8),u)**.
% 0.19/0.50 665[3:Rew:656.0,630.0,650.0,630.0] || -> equal(inverse(inverse(u)),u)**.
% 0.19/0.50 676[3:Rew:656.0,644.2,647.0,644.1,665.0,644.0] || equal(u,u)* equal(sk_c8,sk_c8)* equal(u,sk_c8)* -> .
% 0.19/0.50 677[3:Obv:676.1] || equal(u,sk_c8)* -> .
% 0.19/0.50 678[3:UnC:677.0,613.0] || -> .
% 0.19/0.50 680[2:Spt:678.0,2.0,43.0] || equal(inverse(sk_c4),sk_c5)** -> .
% 0.19/0.50 681[2:Spt:678.0,2.1] || -> equal(inverse(sk_c9),sk_c8)**.
% 0.19/0.50 682[0:Rew:312.0,630.0] || -> equal(inverse(inverse(u)),u)**.
% 0.19/0.50 683[2:MRR:32.0,680.0] || -> equal(inverse(sk_c2),sk_c9)**.
% 0.19/0.50 684[2:MRR:8.0,680.0] || -> equal(inverse(sk_c1),sk_c9)**.
% 0.19/0.50 686[2:MRR:26.0,680.0] || -> equal(multiply(sk_c2,sk_c9),sk_c3)**.
% 0.19/0.50 687[2:MRR:20.0,680.0] || -> equal(multiply(sk_c9,sk_c3),sk_c8)**.
% 0.19/0.50 688[2:MRR:14.0,680.0] || -> equal(multiply(sk_c1,sk_c8),sk_c9)**.
% 0.19/0.50 693[2:SpR:681.0,97.0] || -> equal(multiply(sk_c8,multiply(sk_c9,u)),u)**.
% 0.19/0.50 700[2:SpR:686.0,97.0] || -> equal(multiply(inverse(sk_c2),sk_c3),sk_c9)**.
% 0.19/0.50 702[2:Rew:683.0,700.0] || -> equal(multiply(sk_c9,sk_c3),sk_c9)**.
% 0.19/0.50 703[2:Rew:687.0,702.0] || -> equal(sk_c9,sk_c8)**.
% 0.19/0.50 704[2:Rew:703.0,681.0] || -> equal(inverse(sk_c8),sk_c8)**.
% 0.19/0.50 705[2:Rew:703.0,683.0] || -> equal(inverse(sk_c2),sk_c8)**.
% 0.19/0.50 706[2:Rew:703.0,684.0] || -> equal(inverse(sk_c1),sk_c8)**.
% 0.19/0.50 708[2:Rew:703.0,687.0] || -> equal(multiply(sk_c8,sk_c3),sk_c8)**.
% 0.19/0.50 709[2:Rew:703.0,688.0] || -> equal(multiply(sk_c1,sk_c8),sk_c8)**.
% 0.19/0.50 710[2:Rew:703.0,79.1] || equal(inverse(identity),u) equal(u,sk_c8) equal(multiply(u,sk_c8),sk_c9)** -> .
% 0.19/0.50 715[2:Rew:703.0,693.0] || -> equal(multiply(sk_c8,multiply(sk_c8,u)),u)**.
% 0.19/0.50 720[2:Rew:703.0,710.2] || equal(inverse(identity),u) equal(u,sk_c8) equal(multiply(u,sk_c8),sk_c8)** -> .
% 0.19/0.50 735[2:SpR:708.0,40.0] || -> equal(multiply(sk_c8,multiply(sk_c3,u)),multiply(sk_c8,u))**.
% 0.19/0.50 736[2:SpR:708.0,97.0] || -> equal(multiply(inverse(sk_c8),sk_c8),sk_c3)**.
% 0.19/0.50 738[2:Rew:704.0,736.0] || -> equal(multiply(sk_c8,sk_c8),sk_c3)**.
% 0.19/0.50 740[2:SpR:709.0,97.0] || -> equal(multiply(inverse(sk_c1),sk_c8),sk_c8)**.
% 0.19/0.50 742[2:Rew:706.0,740.0] || -> equal(multiply(sk_c8,sk_c8),sk_c8)**.
% 0.19/0.50 743[2:Rew:738.0,742.0] || -> equal(sk_c3,sk_c8)**.
% 0.19/0.50 747[2:Rew:743.0,735.0] || -> equal(multiply(sk_c8,multiply(sk_c8,u)),multiply(sk_c8,u))**.
% 0.19/0.50 749[2:Rew:715.0,747.0] || -> equal(multiply(sk_c8,u),u)**.
% 0.19/0.50 768[0:SpR:39.0,312.0] || -> equal(inverse(identity),identity)**.
% 0.19/0.50 770[2:SpR:705.0,39.0] || -> equal(multiply(sk_c8,sk_c2),identity)**.
% 0.19/0.50 774[2:Rew:768.0,720.0] || equal(identity,u) equal(u,sk_c8) equal(multiply(u,sk_c8),sk_c8)** -> .
% 0.19/0.50 775[2:Rew:749.0,770.0] || -> equal(identity,sk_c2)**.
% 0.19/0.50 777[2:Rew:775.0,312.0] || -> equal(multiply(u,sk_c2),u)**.
% 0.19/0.50 780[2:Rew:775.0,768.0] || -> equal(inverse(sk_c2),sk_c2)**.
% 0.19/0.50 781[2:Rew:705.0,780.0] || -> equal(sk_c2,sk_c8)**.
% 0.19/0.50 784[2:Rew:781.0,775.0] || -> equal(identity,sk_c8)**.
% 0.19/0.50 791[2:Rew:781.0,777.0] || -> equal(multiply(u,sk_c8),u)**.
% 0.19/0.50 802[2:Rew:791.0,774.2,784.0,774.0] || equal(sk_c8,u)* equal(u,sk_c8)* equal(u,sk_c8)* -> .
% 0.19/0.50 803[2:Obv:802.1] || equal(u,sk_c8)* -> .
% 0.19/0.50 804[2:UnC:803.0,743.0] || -> .
% 0.19/0.50 805[1:Spt:804.0,41.1,41.2,41.3,41.5,41.7,41.8] || equal(inverse(u),sk_c9) equal(inverse(v),sk_c9) equal(inverse(sk_c9),sk_c8) equal(multiply(u,sk_c9),w)*+ equal(multiply(v,sk_c8),sk_c9)** equal(multiply(sk_c9,w),sk_c8)** -> .
% 0.19/0.50 808[1:EqR:805.3] || equal(inverse(u),sk_c9) equal(inverse(v),sk_c9) equal(inverse(sk_c9),sk_c8) equal(multiply(v,sk_c8),sk_c9)** equal(multiply(sk_c9,multiply(u,sk_c9)),sk_c8)** -> .
% 0.19/0.50 810[2:Spt:6.1] || -> equal(inverse(sk_c9),sk_c8)**.
% 0.19/0.50 813[2:Rew:810.0,808.2] || equal(inverse(u),sk_c9) equal(inverse(v),sk_c9) equal(sk_c8,sk_c8) equal(multiply(v,sk_c8),sk_c9)** equal(multiply(sk_c9,multiply(u,sk_c9)),sk_c8)** -> .
% 0.19/0.50 814[2:Obv:813.2] || equal(inverse(u),sk_c9) equal(inverse(v),sk_c9) equal(multiply(v,sk_c8),sk_c9)** equal(multiply(sk_c9,multiply(u,sk_c9)),sk_c8)** -> .
% 0.19/0.50 817[2:SpR:810.0,97.0] || -> equal(multiply(sk_c8,multiply(sk_c9,u)),u)**.
% 0.19/0.50 819[3:Spt:32.1] || -> equal(inverse(sk_c2),sk_c9)**.
% 0.19/0.50 822[4:Spt:8.1] || -> equal(inverse(sk_c1),sk_c9)**.
% 0.19/0.50 825[5:Spt:26.1] || -> equal(multiply(sk_c2,sk_c9),sk_c3)**.
% 0.19/0.50 827[5:SpR:825.0,97.0] || -> equal(multiply(inverse(sk_c2),sk_c3),sk_c9)**.
% 0.19/0.50 829[5:Rew:819.0,827.0] || -> equal(multiply(sk_c9,sk_c3),sk_c9)**.
% 0.19/0.50 830[5:Rew:829.0,22.1] || -> equal(multiply(sk_c9,sk_c7),sk_c8)** equal(sk_c9,sk_c8).
% 0.19/0.50 831[5:Rew:829.0,21.1] || -> equal(multiply(sk_c5,sk_c8),sk_c9)** equal(sk_c9,sk_c8).
% 0.19/0.50 832[5:Rew:829.0,19.1] || -> equal(multiply(sk_c4,sk_c5),sk_c9)** equal(sk_c9,sk_c8).
% 0.19/0.50 833[5:Rew:829.0,23.1] || -> equal(multiply(sk_c6,sk_c9),sk_c7)** equal(sk_c9,sk_c8).
% 0.19/0.50 834[5:Rew:829.0,24.1] || -> equal(inverse(sk_c6),sk_c9)** equal(sk_c9,sk_c8).
% 0.19/0.50 835[5:Rew:829.0,20.1] || -> equal(inverse(sk_c4),sk_c5)** equal(sk_c9,sk_c8).
% 0.19/0.50 836[5:Rew:834.1,18.1] || -> equal(inverse(sk_c6),sk_c9) equal(multiply(sk_c1,sk_c8),sk_c8)**.
% 0.19/0.50 837[5:Rew:835.1,14.1] || -> equal(inverse(sk_c4),sk_c5) equal(multiply(sk_c1,sk_c8),sk_c8)**.
% 0.19/0.50 839[5:Rew:831.1,15.1] || -> equal(multiply(sk_c5,sk_c8),sk_c9) equal(multiply(sk_c1,sk_c8),sk_c8)**.
% 0.19/0.50 840[5:Rew:832.1,13.1] || -> equal(multiply(sk_c4,sk_c5),sk_c9) equal(multiply(sk_c1,sk_c8),sk_c8)**.
% 0.19/0.50 841[5:Rew:833.1,17.1] || -> equal(multiply(sk_c6,sk_c9),sk_c7) equal(multiply(sk_c1,sk_c8),sk_c8)**.
% 0.19/0.50 846[5:SpR:829.0,97.0] || -> equal(multiply(inverse(sk_c9),sk_c9),sk_c3)**.
% 0.19/0.50 848[5:Rew:810.0,846.0] || -> equal(multiply(sk_c8,sk_c9),sk_c3)**.
% 0.19/0.50 849[5:SpR:848.0,40.0] || -> equal(multiply(sk_c8,multiply(sk_c9,u)),multiply(sk_c3,u))**.
% 0.19/0.50 852[5:Rew:817.0,849.0] || -> equal(multiply(sk_c3,u),u)**.
% 0.19/0.50 855[0:SpR:682.0,97.0] || -> equal(multiply(u,multiply(inverse(u),v)),v)**.
% 0.19/0.50 858[2:SpR:810.0,682.0] || -> equal(inverse(sk_c8),sk_c9)**.
% 0.19/0.50 859[3:SpR:819.0,682.0] || -> equal(inverse(sk_c9),sk_c2)**.
% 0.19/0.50 860[4:SpR:822.0,682.0] || -> equal(inverse(sk_c9),sk_c1)**.
% 0.19/0.50 863[3:Rew:810.0,859.0] || -> equal(sk_c2,sk_c8)**.
% 0.19/0.50 868[4:Rew:810.0,860.0] || -> equal(sk_c1,sk_c8)**.
% 0.19/0.50 871[5:Rew:868.0,841.1] || -> equal(multiply(sk_c6,sk_c9),sk_c7)** equal(multiply(sk_c8,sk_c8),sk_c8).
% 0.19/0.50 872[5:Rew:868.0,840.1] || -> equal(multiply(sk_c4,sk_c5),sk_c9)** equal(multiply(sk_c8,sk_c8),sk_c8).
% 0.19/0.50 873[5:Rew:868.0,839.1] || -> equal(multiply(sk_c5,sk_c8),sk_c9)** equal(multiply(sk_c8,sk_c8),sk_c8).
% 0.19/0.50 875[5:Rew:868.0,837.1] || -> equal(inverse(sk_c4),sk_c5) equal(multiply(sk_c8,sk_c8),sk_c8)**.
% 0.19/0.50 876[5:Rew:868.0,836.1] || -> equal(inverse(sk_c6),sk_c9) equal(multiply(sk_c8,sk_c8),sk_c8)**.
% 0.19/0.50 897[2:SpR:810.0,39.0] || -> equal(multiply(sk_c8,sk_c9),identity)**.
% 0.19/0.50 900[2:SpR:858.0,39.0] || -> equal(multiply(sk_c9,sk_c8),identity)**.
% 0.19/0.50 901[5:Rew:848.0,897.0] || -> equal(identity,sk_c3)**.
% 0.19/0.50 904[5:Rew:901.0,312.0] || -> equal(multiply(u,sk_c3),u)**.
% 0.19/0.50 954[6:Spt:834.1] || -> equal(sk_c9,sk_c8)**.
% 0.19/0.50 955[6:Rew:954.0,810.0] || -> equal(inverse(sk_c8),sk_c8)**.
% 0.19/0.50 956[6:Rew:954.0,848.0] || -> equal(multiply(sk_c8,sk_c8),sk_c3)**.
% 0.19/0.50 960[6:Rew:954.0,814.0] || equal(inverse(u),sk_c8) equal(inverse(v),sk_c9) equal(multiply(v,sk_c8),sk_c9)** equal(multiply(sk_c9,multiply(u,sk_c9)),sk_c8)** -> .
% 0.19/0.50 962[6:Rew:954.0,817.0] || -> equal(multiply(sk_c8,multiply(sk_c8,u)),u)**.
% 0.19/0.50 963[6:Rew:954.0,876.0] || -> equal(inverse(sk_c6),sk_c8) equal(multiply(sk_c8,sk_c8),sk_c8)**.
% 0.19/0.50 965[6:Rew:954.0,873.0] || -> equal(multiply(sk_c5,sk_c8),sk_c8)** equal(multiply(sk_c8,sk_c8),sk_c8).
% 0.19/0.50 966[6:Rew:954.0,872.0] || -> equal(multiply(sk_c4,sk_c5),sk_c8)** equal(multiply(sk_c8,sk_c8),sk_c8).
% 0.19/0.50 967[6:Rew:954.0,871.0] || -> equal(multiply(sk_c6,sk_c8),sk_c7)** equal(multiply(sk_c8,sk_c8),sk_c8).
% 0.19/0.50 969[6:Rew:956.0,875.1] || -> equal(inverse(sk_c4),sk_c5)** equal(sk_c3,sk_c8).
% 0.19/0.50 970[6:Rew:956.0,963.1] || -> equal(inverse(sk_c6),sk_c8)** equal(sk_c3,sk_c8).
% 0.19/0.50 972[6:Rew:956.0,965.1] || -> equal(multiply(sk_c5,sk_c8),sk_c8)** equal(sk_c3,sk_c8).
% 0.19/0.50 973[6:Rew:956.0,966.1] || -> equal(multiply(sk_c4,sk_c5),sk_c8)** equal(sk_c3,sk_c8).
% 0.19/0.50 974[6:Rew:956.0,967.1] || -> equal(multiply(sk_c6,sk_c8),sk_c7)** equal(sk_c3,sk_c8).
% 0.19/0.50 975[6:Rew:954.0,960.3,954.0,960.2,954.0,960.1] || equal(inverse(u),sk_c8) equal(inverse(v),sk_c8) equal(multiply(v,sk_c8),sk_c8)** equal(multiply(sk_c8,multiply(u,sk_c8)),sk_c8)** -> .
% 0.19/0.50 984[7:Spt:969.1] || -> equal(sk_c3,sk_c8)**.
% 0.19/0.50 987[7:Rew:984.0,852.0] || -> equal(multiply(sk_c8,u),u)**.
% 0.19/0.50 989[7:Rew:984.0,904.0] || -> equal(multiply(u,sk_c8),u)**.
% 0.19/0.50 995[7:Rew:987.0,975.3] || equal(inverse(u),sk_c8) equal(inverse(v),sk_c8) equal(multiply(v,sk_c8),sk_c8)** equal(multiply(u,sk_c8),sk_c8)** -> .
% 0.19/0.50 997[7:Con:995.0] || equal(inverse(u),sk_c8) equal(multiply(u,sk_c8),sk_c8)** -> .
% 0.19/0.50 998[7:Rew:989.0,997.1] || equal(inverse(u),sk_c8)** equal(u,sk_c8) -> .
% 0.19/0.50 1023[7:SpL:955.0,998.0] || equal(sk_c8,sk_c8)* equal(sk_c8,sk_c8)* -> .
% 0.19/0.50 1024[7:Obv:1023.1] || -> .
% 0.19/0.50 1025[7:Spt:1024.0,969.1,984.0] || equal(sk_c3,sk_c8)** -> .
% 0.19/0.50 1026[7:Spt:1024.0,969.0] || -> equal(inverse(sk_c4),sk_c5)**.
% 0.19/0.50 1027[7:MRR:970.1,1025.0] || -> equal(inverse(sk_c6),sk_c8)**.
% 0.19/0.50 1029[7:MRR:972.1,1025.0] || -> equal(multiply(sk_c5,sk_c8),sk_c8)**.
% 0.19/0.50 1030[7:MRR:973.1,1025.0] || -> equal(multiply(sk_c4,sk_c5),sk_c8)**.
% 0.19/0.50 1031[7:MRR:974.1,1025.0] || -> equal(multiply(sk_c6,sk_c8),sk_c7)**.
% 0.19/0.50 1033[7:SpR:1026.0,682.0] || -> equal(inverse(sk_c5),sk_c4)**.
% 0.19/0.50 1041[7:SpR:1027.0,682.0] || -> equal(inverse(sk_c8),sk_c6)**.
% 0.19/0.50 1043[7:Rew:955.0,1041.0] || -> equal(sk_c6,sk_c8)**.
% 0.19/0.50 1045[7:Rew:1043.0,1031.0] || -> equal(multiply(sk_c8,sk_c8),sk_c7)**.
% 0.19/0.50 1046[7:Rew:956.0,1045.0] || -> equal(sk_c3,sk_c7)**.
% 0.19/0.50 1049[7:Rew:1046.0,1025.0] || equal(sk_c7,sk_c8)** -> .
% 0.19/0.50 1052[7:Rew:1046.0,956.0] || -> equal(multiply(sk_c8,sk_c8),sk_c7)**.
% 0.19/0.50 1071[7:SpR:1030.0,40.0] || -> equal(multiply(sk_c4,multiply(sk_c5,u)),multiply(sk_c8,u))**.
% 0.19/0.50 1072[7:SpR:1030.0,97.0] || -> equal(multiply(inverse(sk_c4),sk_c8),sk_c5)**.
% 0.19/0.50 1074[7:Rew:1029.0,1072.0,1026.0,1072.0] || -> equal(sk_c5,sk_c8)**.
% 0.19/0.50 1076[7:Rew:1074.0,1033.0] || -> equal(inverse(sk_c8),sk_c4)**.
% 0.19/0.50 1082[7:Rew:955.0,1076.0] || -> equal(sk_c4,sk_c8)**.
% 0.19/0.50 1093[7:Rew:962.0,1071.0,1082.0,1071.0,1074.0,1071.0] || -> equal(multiply(sk_c8,u),u)**.
% 0.19/0.50 1094[7:Rew:1093.0,1052.0] || -> equal(sk_c7,sk_c8)**.
% 0.19/0.50 1099[7:MRR:1094.0,1049.0] || -> .
% 0.19/0.50 1101[6:Spt:1099.0,834.1,954.0] || equal(sk_c9,sk_c8)** -> .
% 0.19/0.50 1102[6:Spt:1099.0,834.0] || -> equal(inverse(sk_c6),sk_c9)**.
% 0.19/0.50 1104[6:MRR:830.1,1101.0] || -> equal(multiply(sk_c9,sk_c7),sk_c8)**.
% 0.19/0.50 1107[6:MRR:833.1,1101.0] || -> equal(multiply(sk_c6,sk_c9),sk_c7)**.
% 0.19/0.50 1109[6:SpR:1102.0,682.0] || -> equal(inverse(sk_c9),sk_c6)**.
% 0.19/0.50 1111[6:Rew:810.0,1109.0] || -> equal(sk_c6,sk_c8)**.
% 0.19/0.50 1113[6:Rew:1111.0,1107.0] || -> equal(multiply(sk_c8,sk_c9),sk_c7)**.
% 0.19/0.50 1114[6:Rew:848.0,1113.0] || -> equal(sk_c3,sk_c7)**.
% 0.19/0.50 1118[6:Rew:1114.0,904.0] || -> equal(multiply(u,sk_c7),u)**.
% 0.19/0.50 1124[6:Rew:1118.0,1104.0] || -> equal(sk_c9,sk_c8)**.
% 0.19/0.50 1125[6:MRR:1124.0,1101.0] || -> .
% 0.19/0.50 1127[5:Spt:1125.0,26.1,825.0] || equal(multiply(sk_c2,sk_c9),sk_c3)** -> .
% 0.19/0.50 1128[5:Spt:1125.0,26.0] || -> equal(inverse(sk_c4),sk_c5)**.
% 0.19/0.50 1129[5:Rew:863.0,1127.0] || equal(multiply(sk_c8,sk_c9),sk_c3)** -> .
% 0.19/0.50 1130[5:Rew:897.0,1129.0] || equal(identity,sk_c3)** -> .
% 0.19/0.50 1132[3:Rew:863.0,30.1] || -> equal(inverse(sk_c6),sk_c9) equal(multiply(sk_c8,sk_c9),sk_c3)**.
% 0.19/0.50 1133[3:Rew:897.0,1132.1] || -> equal(inverse(sk_c6),sk_c9)** equal(identity,sk_c3).
% 0.19/0.50 1134[5:MRR:1133.1,1130.0] || -> equal(inverse(sk_c6),sk_c9)**.
% 0.19/0.50 1135[3:Rew:863.0,29.1] || -> equal(multiply(sk_c6,sk_c9),sk_c7)** equal(multiply(sk_c8,sk_c9),sk_c3).
% 0.19/0.50 1136[3:Rew:897.0,1135.1] || -> equal(multiply(sk_c6,sk_c9),sk_c7)** equal(identity,sk_c3).
% 0.19/0.50 1137[5:MRR:1136.1,1130.0] || -> equal(multiply(sk_c6,sk_c9),sk_c7)**.
% 0.19/0.50 1138[3:Rew:863.0,25.1] || -> equal(multiply(sk_c4,sk_c5),sk_c9)** equal(multiply(sk_c8,sk_c9),sk_c3).
% 0.19/0.50 1139[3:Rew:897.0,1138.1] || -> equal(multiply(sk_c4,sk_c5),sk_c9)** equal(identity,sk_c3).
% 0.19/0.50 1140[5:MRR:1139.1,1130.0] || -> equal(multiply(sk_c4,sk_c5),sk_c9)**.
% 0.19/0.50 1141[3:Rew:863.0,27.1] || -> equal(multiply(sk_c5,sk_c8),sk_c9)** equal(multiply(sk_c8,sk_c9),sk_c3).
% 0.19/0.50 1142[3:Rew:897.0,1141.1] || -> equal(multiply(sk_c5,sk_c8),sk_c9)** equal(identity,sk_c3).
% 0.19/0.50 1143[5:MRR:1142.1,1130.0] || -> equal(multiply(sk_c5,sk_c8),sk_c9)**.
% 0.19/0.50 1144[3:Rew:863.0,28.1] || -> equal(multiply(sk_c9,sk_c7),sk_c8)** equal(multiply(sk_c8,sk_c9),sk_c3).
% 0.19/0.50 1145[3:Rew:897.0,1144.1] || -> equal(multiply(sk_c9,sk_c7),sk_c8)** equal(identity,sk_c3).
% 0.19/0.50 1146[5:MRR:1145.1,1130.0] || -> equal(multiply(sk_c9,sk_c7),sk_c8)**.
% 0.19/0.50 1149[5:SpR:1128.0,682.0] || -> equal(inverse(sk_c5),sk_c4)**.
% 0.19/0.50 1162[5:SpR:1134.0,682.0] || -> equal(inverse(sk_c9),sk_c6)**.
% 0.19/0.50 1164[5:Rew:810.0,1162.0] || -> equal(sk_c6,sk_c8)**.
% 0.19/0.50 1166[5:Rew:1164.0,1137.0] || -> equal(multiply(sk_c8,sk_c9),sk_c7)**.
% 0.19/0.50 1167[5:Rew:897.0,1166.0] || -> equal(identity,sk_c7)**.
% 0.19/0.50 1171[5:Rew:1167.0,312.0] || -> equal(multiply(u,sk_c7),u)**.
% 0.19/0.50 1172[5:Rew:1167.0,38.0] || -> equal(multiply(sk_c7,u),u)**.
% 0.19/0.50 1173[5:Rew:1167.0,900.0] || -> equal(multiply(sk_c9,sk_c8),sk_c7)**.
% 0.19/0.50 1176[5:Rew:1171.0,1146.0] || -> equal(sk_c9,sk_c8)**.
% 0.19/0.50 1177[5:Rew:1176.0,858.0] || -> equal(inverse(sk_c8),sk_c8)**.
% 0.19/0.50 1182[5:Rew:1176.0,814.0] || equal(inverse(u),sk_c8) equal(inverse(v),sk_c9) equal(multiply(v,sk_c8),sk_c9)** equal(multiply(sk_c9,multiply(u,sk_c9)),sk_c8)** -> .
% 0.19/0.50 1184[5:Rew:1176.0,1140.0] || -> equal(multiply(sk_c4,sk_c5),sk_c8)**.
% 0.19/0.50 1185[5:Rew:1176.0,1143.0] || -> equal(multiply(sk_c5,sk_c8),sk_c8)**.
% 0.19/0.50 1187[5:Rew:1176.0,1173.0] || -> equal(multiply(sk_c8,sk_c8),sk_c7)**.
% 0.19/0.50 1189[5:Rew:1176.0,1182.3,1176.0,1182.2,1176.0,1182.1] || equal(inverse(u),sk_c8) equal(inverse(v),sk_c8) equal(multiply(v,sk_c8),sk_c8)** equal(multiply(sk_c8,multiply(u,sk_c8)),sk_c8)** -> .
% 0.19/0.50 1206[5:SpR:1184.0,97.0] || -> equal(multiply(inverse(sk_c4),sk_c8),sk_c5)**.
% 0.19/0.50 1208[5:Rew:1128.0,1206.0] || -> equal(multiply(sk_c5,sk_c8),sk_c5)**.
% 0.19/0.50 1209[5:Rew:1185.0,1208.0] || -> equal(sk_c5,sk_c8)**.
% 0.19/0.50 1211[5:Rew:1209.0,1149.0] || -> equal(inverse(sk_c8),sk_c4)**.
% 0.19/0.50 1212[5:Rew:1209.0,1184.0] || -> equal(multiply(sk_c4,sk_c8),sk_c8)**.
% 0.19/0.50 1216[5:Rew:1177.0,1211.0] || -> equal(sk_c4,sk_c8)**.
% 0.19/0.50 1218[5:Rew:1187.0,1212.0,1216.0,1212.0] || -> equal(sk_c7,sk_c8)**.
% 0.19/0.50 1222[5:Rew:1218.0,1171.0] || -> equal(multiply(u,sk_c8),u)**.
% 0.19/0.50 1223[5:Rew:1218.0,1172.0] || -> equal(multiply(sk_c8,u),u)**.
% 0.19/0.50 1228[5:Rew:1222.0,1189.3] || equal(inverse(u),sk_c8) equal(inverse(v),sk_c8) equal(multiply(v,sk_c8),sk_c8)** equal(multiply(sk_c8,u),sk_c8)** -> .
% 0.19/0.50 1234[5:Rew:1223.0,1228.3,1222.0,1228.2] || equal(inverse(u),sk_c8)** equal(inverse(v),sk_c8)** equal(v,sk_c8) equal(u,sk_c8) -> .
% 0.19/0.50 1235[5:Con:1234.0] || equal(inverse(u),sk_c8)** equal(u,sk_c8) -> .
% 0.19/0.50 1269[5:SpL:1177.0,1235.0] || equal(sk_c8,sk_c8)* equal(sk_c8,sk_c8)* -> .
% 0.19/0.50 1270[5:Obv:1269.1] || -> .
% 0.19/0.50 1271[4:Spt:1270.0,8.1,822.0] || equal(inverse(sk_c1),sk_c9)** -> .
% 0.19/0.50 1272[4:Spt:1270.0,8.0] || -> equal(inverse(sk_c4),sk_c5)**.
% 0.19/0.50 1273[4:MRR:12.1,1271.0] || -> equal(inverse(sk_c6),sk_c9)**.
% 0.19/0.50 1274[4:MRR:11.0,1271.0] || -> equal(multiply(sk_c6,sk_c9),sk_c7)**.
% 0.19/0.50 1275[4:MRR:7.0,1271.0] || -> equal(multiply(sk_c4,sk_c5),sk_c9)**.
% 0.19/0.50 1276[4:MRR:9.0,1271.0] || -> equal(multiply(sk_c5,sk_c8),sk_c9)**.
% 0.19/0.50 1277[4:MRR:10.0,1271.0] || -> equal(multiply(sk_c9,sk_c7),sk_c8)**.
% 0.19/0.50 1279[4:SpR:1272.0,682.0] || -> equal(inverse(sk_c5),sk_c4)**.
% 0.19/0.50 1292[4:SpR:1273.0,682.0] || -> equal(inverse(sk_c9),sk_c6)**.
% 0.19/0.50 1294[4:Rew:810.0,1292.0] || -> equal(sk_c6,sk_c8)**.
% 0.19/0.50 1296[4:Rew:1294.0,1274.0] || -> equal(multiply(sk_c8,sk_c9),sk_c7)**.
% 0.19/0.50 1297[4:Rew:897.0,1296.0] || -> equal(identity,sk_c7)**.
% 0.19/0.50 1300[4:Rew:1297.0,38.0] || -> equal(multiply(sk_c7,u),u)**.
% 0.19/0.50 1301[4:Rew:1297.0,312.0] || -> equal(multiply(u,sk_c7),u)**.
% 0.19/0.50 1302[4:Rew:1297.0,897.0] || -> equal(multiply(sk_c8,sk_c9),sk_c7)**.
% 0.19/0.50 1305[4:Rew:1301.0,1277.0] || -> equal(sk_c9,sk_c8)**.
% 0.19/0.50 1306[4:Rew:1305.0,810.0] || -> equal(inverse(sk_c8),sk_c8)**.
% 0.19/0.50 1311[4:Rew:1305.0,1275.0] || -> equal(multiply(sk_c4,sk_c5),sk_c8)**.
% 0.19/0.50 1312[4:Rew:1305.0,1276.0] || -> equal(multiply(sk_c5,sk_c8),sk_c8)**.
% 0.19/0.50 1314[4:Rew:1305.0,814.0] || equal(inverse(u),sk_c8) equal(inverse(v),sk_c9) equal(multiply(v,sk_c8),sk_c9)** equal(multiply(sk_c9,multiply(u,sk_c9)),sk_c8)** -> .
% 0.19/0.50 1317[4:Rew:1305.0,1302.0] || -> equal(multiply(sk_c8,sk_c8),sk_c7)**.
% 0.19/0.50 1319[4:Rew:1305.0,1314.3,1305.0,1314.2,1305.0,1314.1] || equal(inverse(u),sk_c8) equal(inverse(v),sk_c8) equal(multiply(v,sk_c8),sk_c8)** equal(multiply(sk_c8,multiply(u,sk_c8)),sk_c8)** -> .
% 0.19/0.50 1341[4:SpR:1311.0,97.0] || -> equal(multiply(inverse(sk_c4),sk_c8),sk_c5)**.
% 0.19/0.50 1343[4:Rew:1272.0,1341.0] || -> equal(multiply(sk_c5,sk_c8),sk_c5)**.
% 0.19/0.50 1344[4:Rew:1312.0,1343.0] || -> equal(sk_c5,sk_c8)**.
% 0.19/0.50 1346[4:Rew:1344.0,1279.0] || -> equal(inverse(sk_c8),sk_c4)**.
% 0.19/0.50 1347[4:Rew:1344.0,1311.0] || -> equal(multiply(sk_c4,sk_c8),sk_c8)**.
% 0.19/0.50 1351[4:Rew:1306.0,1346.0] || -> equal(sk_c4,sk_c8)**.
% 0.19/0.50 1353[4:Rew:1351.0,1347.0] || -> equal(multiply(sk_c8,sk_c8),sk_c8)**.
% 0.19/0.50 1354[4:Rew:1317.0,1353.0] || -> equal(sk_c7,sk_c8)**.
% 0.19/0.50 1358[4:Rew:1354.0,1300.0] || -> equal(multiply(sk_c8,u),u)**.
% 0.19/0.50 1359[4:Rew:1354.0,1301.0] || -> equal(multiply(u,sk_c8),u)**.
% 0.19/0.50 1364[4:Rew:1358.0,1319.3] || equal(inverse(u),sk_c8) equal(inverse(v),sk_c8) equal(multiply(v,sk_c8),sk_c8)** equal(multiply(u,sk_c8),sk_c8)** -> .
% 0.19/0.50 1369[4:Con:1364.0] || equal(inverse(u),sk_c8) equal(multiply(u,sk_c8),sk_c8)** -> .
% 0.19/0.50 1370[4:Rew:1359.0,1369.1] || equal(inverse(u),sk_c8)** equal(u,sk_c8) -> .
% 0.19/0.50 1422[4:SpL:1306.0,1370.0] || equal(sk_c8,sk_c8)* equal(sk_c8,sk_c8)* -> .
% 0.19/0.50 1423[4:Obv:1422.1] || -> .
% 0.19/0.50 1424[3:Spt:1423.0,32.1,819.0] || equal(inverse(sk_c2),sk_c9)** -> .
% 0.19/0.50 1425[3:Spt:1423.0,32.0] || -> equal(inverse(sk_c4),sk_c5)**.
% 0.19/0.50 1426[3:MRR:36.1,1424.0] || -> equal(inverse(sk_c6),sk_c9)**.
% 0.19/0.50 1427[3:MRR:35.0,1424.0] || -> equal(multiply(sk_c6,sk_c9),sk_c7)**.
% 0.19/0.50 1428[3:MRR:31.0,1424.0] || -> equal(multiply(sk_c4,sk_c5),sk_c9)**.
% 0.19/0.50 1429[3:MRR:33.0,1424.0] || -> equal(multiply(sk_c5,sk_c8),sk_c9)**.
% 0.19/0.50 1430[3:MRR:34.0,1424.0] || -> equal(multiply(sk_c9,sk_c7),sk_c8)**.
% 0.19/0.50 1432[3:SpR:1425.0,682.0] || -> equal(inverse(sk_c5),sk_c4)**.
% 0.19/0.50 1442[3:SpR:1426.0,682.0] || -> equal(inverse(sk_c9),sk_c6)**.
% 0.19/0.50 1445[3:Rew:810.0,1442.0] || -> equal(sk_c6,sk_c8)**.
% 0.19/0.50 1447[3:Rew:1445.0,1427.0] || -> equal(multiply(sk_c8,sk_c9),sk_c7)**.
% 0.19/0.50 1448[3:Rew:897.0,1447.0] || -> equal(identity,sk_c7)**.
% 0.19/0.50 1451[3:Rew:1448.0,312.0] || -> equal(multiply(u,sk_c7),u)**.
% 0.19/0.50 1452[3:Rew:1448.0,38.0] || -> equal(multiply(sk_c7,u),u)**.
% 0.19/0.50 1453[3:Rew:1448.0,900.0] || -> equal(multiply(sk_c9,sk_c8),sk_c7)**.
% 0.19/0.50 1456[3:Rew:1451.0,1430.0] || -> equal(sk_c9,sk_c8)**.
% 0.19/0.50 1457[3:Rew:1456.0,858.0] || -> equal(inverse(sk_c8),sk_c8)**.
% 0.19/0.50 1462[3:Rew:1456.0,1428.0] || -> equal(multiply(sk_c4,sk_c5),sk_c8)**.
% 0.19/0.50 1463[3:Rew:1456.0,1429.0] || -> equal(multiply(sk_c5,sk_c8),sk_c8)**.
% 0.19/0.50 1465[3:Rew:1456.0,814.0] || equal(inverse(u),sk_c8) equal(inverse(v),sk_c9) equal(multiply(v,sk_c8),sk_c9)** equal(multiply(sk_c9,multiply(u,sk_c9)),sk_c8)** -> .
% 0.19/0.50 1468[3:Rew:1456.0,1453.0] || -> equal(multiply(sk_c8,sk_c8),sk_c7)**.
% 0.19/0.50 1471[3:Rew:1456.0,1465.3,1456.0,1465.2,1456.0,1465.1] || equal(inverse(u),sk_c8) equal(inverse(v),sk_c8) equal(multiply(v,sk_c8),sk_c8)** equal(multiply(sk_c8,multiply(u,sk_c8)),sk_c8)** -> .
% 0.19/0.50 1497[3:SpR:1462.0,97.0] || -> equal(multiply(inverse(sk_c4),sk_c8),sk_c5)**.
% 0.19/0.50 1499[3:Rew:1425.0,1497.0] || -> equal(multiply(sk_c5,sk_c8),sk_c5)**.
% 0.19/0.50 1500[3:Rew:1463.0,1499.0] || -> equal(sk_c5,sk_c8)**.
% 0.19/0.50 1502[3:Rew:1500.0,1432.0] || -> equal(inverse(sk_c8),sk_c4)**.
% 0.19/0.50 1503[3:Rew:1500.0,1462.0] || -> equal(multiply(sk_c4,sk_c8),sk_c8)**.
% 0.19/0.50 1507[3:Rew:1457.0,1502.0] || -> equal(sk_c4,sk_c8)**.
% 0.19/0.50 1509[3:Rew:1507.0,1503.0] || -> equal(multiply(sk_c8,sk_c8),sk_c8)**.
% 0.19/0.50 1510[3:Rew:1468.0,1509.0] || -> equal(sk_c7,sk_c8)**.
% 0.19/0.50 1514[3:Rew:1510.0,1451.0] || -> equal(multiply(u,sk_c8),u)**.
% 0.19/0.50 1515[3:Rew:1510.0,1452.0] || -> equal(multiply(sk_c8,u),u)**.
% 0.19/0.50 1519[3:Rew:1514.0,1471.3] || equal(inverse(u),sk_c8) equal(inverse(v),sk_c8) equal(multiply(v,sk_c8),sk_c8)** equal(multiply(sk_c8,u),sk_c8)** -> .
% 0.19/0.50 1525[3:Rew:1515.0,1519.3,1514.0,1519.2] || equal(inverse(u),sk_c8)** equal(inverse(v),sk_c8)** equal(v,sk_c8) equal(u,sk_c8) -> .
% 0.19/0.50 1526[3:Con:1525.0] || equal(inverse(u),sk_c8)** equal(u,sk_c8) -> .
% 0.19/0.50 1566[3:SpL:1457.0,1526.0] || equal(sk_c8,sk_c8)* equal(sk_c8,sk_c8)* -> .
% 0.19/0.50 1567[3:Obv:1566.1] || -> .
% 0.19/0.50 1568[2:Spt:1567.0,6.1,810.0] || equal(inverse(sk_c9),sk_c8)** -> .
% 0.19/0.50 1569[2:Spt:1567.0,6.0] || -> equal(inverse(sk_c6),sk_c9)**.
% 0.19/0.50 1570[2:MRR:2.1,1568.0] || -> equal(inverse(sk_c4),sk_c5)**.
% 0.19/0.50 1571[2:MRR:3.0,1568.0] || -> equal(multiply(sk_c5,sk_c8),sk_c9)**.
% 0.19/0.50 1572[2:MRR:4.0,1568.0] || -> equal(multiply(sk_c9,sk_c7),sk_c8)**.
% 0.19/0.50 1573[2:MRR:1.0,1568.0] || -> equal(multiply(sk_c4,sk_c5),sk_c9)**.
% 0.19/0.50 1574[2:MRR:5.0,1568.0] || -> equal(multiply(sk_c6,sk_c9),sk_c7)**.
% 0.19/0.50 1576[2:SpR:1569.0,682.0] || -> equal(inverse(sk_c9),sk_c6)**.
% 0.19/0.50 1577[2:SpR:1569.0,855.0] || -> equal(multiply(sk_c6,multiply(sk_c9,u)),u)**.
% 0.19/0.50 1579[2:Rew:1576.0,1568.0] || equal(sk_c6,sk_c8)** -> .
% 0.19/0.50 1587[2:SpR:1570.0,682.0] || -> equal(inverse(sk_c5),sk_c4)**.
% 0.19/0.50 1588[2:SpR:1570.0,855.0] || -> equal(multiply(sk_c4,multiply(sk_c5,u)),u)**.
% 0.19/0.50 1606[2:SpR:1573.0,40.0] || -> equal(multiply(sk_c4,multiply(sk_c5,u)),multiply(sk_c9,u))**.
% 0.19/0.50 1607[2:SpR:1573.0,97.0] || -> equal(multiply(inverse(sk_c4),sk_c9),sk_c5)**.
% 0.19/0.50 1609[2:Rew:1570.0,1607.0] || -> equal(multiply(sk_c5,sk_c9),sk_c5)**.
% 0.19/0.50 1610[2:Rew:1588.0,1606.0] || -> equal(multiply(sk_c9,u),u)**.
% 0.19/0.50 1611[2:Rew:1610.0,1572.0] || -> equal(sk_c7,sk_c8)**.
% 0.19/0.50 1612[2:Rew:1610.0,1577.0] || -> equal(multiply(sk_c6,u),u)**.
% 0.19/0.50 1616[2:Rew:1611.0,1574.0] || -> equal(multiply(sk_c6,sk_c9),sk_c8)**.
% 0.19/0.50 1618[2:Rew:1612.0,1616.0] || -> equal(sk_c9,sk_c8)**.
% 0.19/0.50 1620[2:Rew:1618.0,1576.0] || -> equal(inverse(sk_c8),sk_c6)**.
% 0.19/0.50 1621[2:Rew:1618.0,1571.0] || -> equal(multiply(sk_c5,sk_c8),sk_c8)**.
% 0.19/0.50 1624[2:Rew:1618.0,1609.0] || -> equal(multiply(sk_c5,sk_c8),sk_c5)**.
% 0.19/0.50 1625[2:Rew:1618.0,1610.0] || -> equal(multiply(sk_c8,u),u)**.
% 0.19/0.50 1626[2:Rew:1621.0,1624.0] || -> equal(sk_c5,sk_c8)**.
% 0.19/0.50 1627[2:Rew:1626.0,1570.0] || -> equal(inverse(sk_c4),sk_c8)**.
% 0.19/0.50 1628[2:Rew:1626.0,1587.0] || -> equal(inverse(sk_c8),sk_c4)**.
% 0.19/0.50 1633[2:Rew:1620.0,1628.0] || -> equal(sk_c6,sk_c4)**.
% 0.19/0.50 1634[2:Rew:1633.0,1579.0] || equal(sk_c4,sk_c8)** -> .
% 0.19/0.50 1635[2:Rew:1633.0,1612.0] || -> equal(multiply(sk_c4,u),u)**.
% 0.19/0.50 1637[2:Rew:1633.0,1620.0] || -> equal(inverse(sk_c8),sk_c4)**.
% 0.19/0.50 1670[2:SpR:1627.0,39.0] || -> equal(multiply(sk_c8,sk_c4),identity)**.
% 0.19/0.50 1671[2:SpR:1637.0,39.0] || -> equal(multiply(sk_c4,sk_c8),identity)**.
% 0.19/0.50 1672[2:Rew:1625.0,1670.0] || -> equal(identity,sk_c4)**.
% 0.19/0.50 1680[2:Rew:1635.0,1671.0,1672.0,1671.0] || -> equal(sk_c4,sk_c8)**.
% 0.19/0.50 1681[2:MRR:1680.0,1634.0] || -> .
% 0.19/0.50 % SZS output end Refutation
% 0.19/0.50 Formulae used in the proof : prove_this_1 prove_this_2 prove_this_3 prove_this_4 prove_this_5 prove_this_6 prove_this_7 prove_this_8 prove_this_9 prove_this_10 prove_this_11 prove_this_12 prove_this_13 prove_this_14 prove_this_15 prove_this_17 prove_this_18 prove_this_19 prove_this_20 prove_this_21 prove_this_22 prove_this_23 prove_this_24 prove_this_25 prove_this_26 prove_this_27 prove_this_28 prove_this_29 prove_this_30 prove_this_31 prove_this_32 prove_this_33 prove_this_34 prove_this_35 prove_this_36 prove_this_37 left_identity left_inverse associativity
% 0.19/0.50
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