TSTP Solution File: GRP319-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GRP319-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 11:46:50 EDT 2022
% Result : Unsatisfiable 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP319-1 : TPTP v8.1.0. Released v2.5.0.
% 0.08/0.13 % Command : run_spass %d %s
% 0.14/0.34 % Computer : n010.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Tue Jun 14 00:02:54 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.52
% 0.20/0.52 SPASS V 3.9
% 0.20/0.52 SPASS beiseite: Proof found.
% 0.20/0.52 % SZS status Theorem
% 0.20/0.52 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.52 SPASS derived 1325 clauses, backtracked 516 clauses, performed 13 splits and kept 1075 clauses.
% 0.20/0.52 SPASS allocated 63898 KBytes.
% 0.20/0.52 SPASS spent 0:00:00.17 on the problem.
% 0.20/0.52 0:00:00.04 for the input.
% 0.20/0.52 0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.52 0:00:00.01 for inferences.
% 0.20/0.52 0:00:00.00 for the backtracking.
% 0.20/0.52 0:00:00.10 for the reduction.
% 0.20/0.52
% 0.20/0.52
% 0.20/0.52 Here is a proof with depth 5, length 509 :
% 0.20/0.52 % SZS output start Refutation
% 0.20/0.52 1[0:Inp] || -> equal(multiply(sk_c4,sk_c9),sk_c8)** equal(multiply(sk_c8,sk_c9),sk_c7).
% 0.20/0.52 2[0:Inp] || -> equal(inverse(sk_c4),sk_c9) equal(multiply(sk_c8,sk_c9),sk_c7)**.
% 0.20/0.52 3[0:Inp] || -> equal(multiply(sk_c5,sk_c8),sk_c7)** equal(multiply(sk_c8,sk_c9),sk_c7).
% 0.20/0.52 4[0:Inp] || -> equal(inverse(sk_c5),sk_c8) equal(multiply(sk_c8,sk_c9),sk_c7)**.
% 0.20/0.52 5[0:Inp] || -> equal(inverse(sk_c6),sk_c7) equal(multiply(sk_c8,sk_c9),sk_c7)**.
% 0.20/0.52 6[0:Inp] || -> equal(multiply(sk_c6,sk_c9),sk_c7)** equal(multiply(sk_c8,sk_c9),sk_c7).
% 0.20/0.52 8[0:Inp] || -> equal(inverse(sk_c4),sk_c9) equal(multiply(sk_c1,sk_c8),sk_c9)**.
% 0.20/0.52 9[0:Inp] || -> equal(multiply(sk_c5,sk_c8),sk_c7) equal(multiply(sk_c1,sk_c8),sk_c9)**.
% 0.20/0.52 10[0:Inp] || -> equal(inverse(sk_c5),sk_c8) equal(multiply(sk_c1,sk_c8),sk_c9)**.
% 0.20/0.52 11[0:Inp] || -> equal(inverse(sk_c6),sk_c7) equal(multiply(sk_c1,sk_c8),sk_c9)**.
% 0.20/0.52 12[0:Inp] || -> equal(multiply(sk_c6,sk_c9),sk_c7) equal(multiply(sk_c1,sk_c8),sk_c9)**.
% 0.20/0.52 13[0:Inp] || -> equal(inverse(sk_c1),sk_c8) equal(multiply(sk_c4,sk_c9),sk_c8)**.
% 0.20/0.52 14[0:Inp] || -> equal(inverse(sk_c4),sk_c9) equal(inverse(sk_c1),sk_c8)**.
% 0.20/0.52 15[0:Inp] || -> equal(inverse(sk_c1),sk_c8) equal(multiply(sk_c5,sk_c8),sk_c7)**.
% 0.20/0.52 16[0:Inp] || -> equal(inverse(sk_c5),sk_c8) equal(inverse(sk_c1),sk_c8)**.
% 0.20/0.52 17[0:Inp] || -> equal(inverse(sk_c6),sk_c7) equal(inverse(sk_c1),sk_c8)**.
% 0.20/0.52 18[0:Inp] || -> equal(inverse(sk_c1),sk_c8) equal(multiply(sk_c6,sk_c9),sk_c7)**.
% 0.20/0.52 19[0:Inp] || -> equal(multiply(sk_c4,sk_c9),sk_c8)** equal(multiply(sk_c9,sk_c3),sk_c8).
% 0.20/0.52 20[0:Inp] || -> equal(inverse(sk_c4),sk_c9) equal(multiply(sk_c9,sk_c3),sk_c8)**.
% 0.20/0.52 21[0:Inp] || -> equal(multiply(sk_c5,sk_c8),sk_c7)** equal(multiply(sk_c9,sk_c3),sk_c8).
% 0.20/0.52 22[0:Inp] || -> equal(inverse(sk_c5),sk_c8) equal(multiply(sk_c9,sk_c3),sk_c8)**.
% 0.20/0.52 23[0:Inp] || -> equal(inverse(sk_c6),sk_c7) equal(multiply(sk_c9,sk_c3),sk_c8)**.
% 0.20/0.52 24[0:Inp] || -> equal(multiply(sk_c6,sk_c9),sk_c7)** equal(multiply(sk_c9,sk_c3),sk_c8).
% 0.20/0.52 25[0:Inp] || -> equal(multiply(sk_c4,sk_c9),sk_c8) equal(multiply(sk_c2,sk_c9),sk_c3)**.
% 0.20/0.52 26[0:Inp] || -> equal(inverse(sk_c4),sk_c9) equal(multiply(sk_c2,sk_c9),sk_c3)**.
% 0.20/0.52 27[0:Inp] || -> equal(multiply(sk_c5,sk_c8),sk_c7) equal(multiply(sk_c2,sk_c9),sk_c3)**.
% 0.20/0.52 28[0:Inp] || -> equal(inverse(sk_c5),sk_c8) equal(multiply(sk_c2,sk_c9),sk_c3)**.
% 0.20/0.52 29[0:Inp] || -> equal(inverse(sk_c6),sk_c7) equal(multiply(sk_c2,sk_c9),sk_c3)**.
% 0.20/0.52 30[0:Inp] || -> equal(multiply(sk_c6,sk_c9),sk_c7) equal(multiply(sk_c2,sk_c9),sk_c3)**.
% 0.20/0.52 31[0:Inp] || -> equal(inverse(sk_c2),sk_c9) equal(multiply(sk_c4,sk_c9),sk_c8)**.
% 0.20/0.52 32[0:Inp] || -> equal(inverse(sk_c4),sk_c9) equal(inverse(sk_c2),sk_c9)**.
% 0.20/0.52 33[0:Inp] || -> equal(inverse(sk_c2),sk_c9) equal(multiply(sk_c5,sk_c8),sk_c7)**.
% 0.20/0.52 34[0:Inp] || -> equal(inverse(sk_c5),sk_c8) equal(inverse(sk_c2),sk_c9)**.
% 0.20/0.52 35[0:Inp] || -> equal(inverse(sk_c6),sk_c7) equal(inverse(sk_c2),sk_c9)**.
% 0.20/0.52 36[0:Inp] || -> equal(inverse(sk_c2),sk_c9) equal(multiply(sk_c6,sk_c9),sk_c7)**.
% 0.20/0.52 37[0:Inp] || equal(inverse(u),sk_c7) equal(inverse(v),sk_c8) equal(inverse(w),sk_c9) equal(inverse(x),sk_c9) equal(inverse(y),sk_c8) equal(multiply(x,sk_c9),z)*+ equal(multiply(u,sk_c9),sk_c7)** equal(multiply(v,sk_c8),sk_c7)** equal(multiply(w,sk_c9),sk_c8)** equal(multiply(y,sk_c8),sk_c9)** equal(multiply(sk_c9,z),sk_c8)** equal(multiply(sk_c8,sk_c9),sk_c7) -> .
% 0.20/0.52 38[0:Inp] || -> equal(multiply(identity,u),u)**.
% 0.20/0.52 39[0:Inp] || -> equal(multiply(inverse(u),u),identity)**.
% 0.20/0.52 40[0:Inp] || -> equal(multiply(multiply(u,v),w),multiply(u,multiply(v,w)))**.
% 0.20/0.52 41[1:Spt:37.3,37.5,37.10] || equal(inverse(u),sk_c9) equal(multiply(u,sk_c9),v)*+ equal(multiply(sk_c9,v),sk_c8)** -> .
% 0.20/0.52 43[2:Spt:5.0] || -> equal(inverse(sk_c6),sk_c7)**.
% 0.20/0.52 45[3:Spt:4.0] || -> equal(inverse(sk_c5),sk_c8)**.
% 0.20/0.52 47[4:Spt:2.0] || -> equal(inverse(sk_c4),sk_c9)**.
% 0.20/0.52 49[5:Spt:6.0] || -> equal(multiply(sk_c6,sk_c9),sk_c7)**.
% 0.20/0.52 51[5:SpL:49.0,41.1] || equal(inverse(sk_c6),sk_c9) equal(sk_c7,u) equal(multiply(sk_c9,u),sk_c8)** -> .
% 0.20/0.52 52[5:Rew:43.0,51.0] || equal(sk_c7,sk_c9) equal(sk_c7,u) equal(multiply(sk_c9,u),sk_c8)** -> .
% 0.20/0.52 54[1:SpL:38.0,41.1] || equal(inverse(identity),sk_c9) equal(sk_c9,u) equal(multiply(sk_c9,u),sk_c8)** -> .
% 0.20/0.52 55[6:Spt:3.0] || -> equal(multiply(sk_c5,sk_c8),sk_c7)**.
% 0.20/0.52 57[7:Spt:1.0] || -> equal(multiply(sk_c4,sk_c9),sk_c8)**.
% 0.20/0.52 63[2:SpR:43.0,39.0] || -> equal(multiply(sk_c7,sk_c6),identity)**.
% 0.20/0.52 64[3:SpR:45.0,39.0] || -> equal(multiply(sk_c8,sk_c5),identity)**.
% 0.20/0.52 65[4:SpR:47.0,39.0] || -> equal(multiply(sk_c9,sk_c4),identity)**.
% 0.20/0.52 66[1:SpL:39.0,41.1] || equal(inverse(inverse(sk_c9)),sk_c9) equal(identity,u) equal(multiply(sk_c9,u),sk_c8)** -> .
% 0.20/0.52 71[5:SpR:49.0,40.0] || -> equal(multiply(sk_c6,multiply(sk_c9,u)),multiply(sk_c7,u))**.
% 0.20/0.52 74[0:SpR:39.0,40.0] || -> equal(multiply(inverse(u),multiply(u,v)),multiply(identity,v))**.
% 0.20/0.52 76[2:SpR:63.0,40.0] || -> equal(multiply(sk_c7,multiply(sk_c6,u)),multiply(identity,u))**.
% 0.20/0.52 77[3:SpR:64.0,40.0] || -> equal(multiply(sk_c8,multiply(sk_c5,u)),multiply(identity,u))**.
% 0.20/0.52 79[2:Rew:38.0,76.0] || -> equal(multiply(sk_c7,multiply(sk_c6,u)),u)**.
% 0.20/0.52 80[3:Rew:38.0,77.0] || -> equal(multiply(sk_c8,multiply(sk_c5,u)),u)**.
% 0.20/0.52 81[0:Rew:38.0,74.0] || -> equal(multiply(inverse(u),multiply(u,v)),v)**.
% 0.20/0.52 88[5:SpR:49.0,79.0] || -> equal(multiply(sk_c7,sk_c7),sk_c9)**.
% 0.20/0.52 91[5:SpR:88.0,40.0] || -> equal(multiply(sk_c7,multiply(sk_c7,u)),multiply(sk_c9,u))**.
% 0.20/0.52 94[6:SpR:55.0,80.0] || -> equal(multiply(sk_c8,sk_c7),sk_c8)**.
% 0.20/0.52 97[0:SpR:81.0,81.0] || -> equal(multiply(inverse(inverse(u)),v),multiply(u,v))**.
% 0.20/0.52 101[4:SpR:65.0,81.0] || -> equal(multiply(inverse(sk_c9),identity),sk_c4)**.
% 0.20/0.52 103[0:SpR:39.0,81.0] || -> equal(multiply(inverse(inverse(u)),identity),u)**.
% 0.20/0.52 106[2:SpR:79.0,81.0] || -> equal(multiply(inverse(sk_c7),u),multiply(sk_c6,u))**.
% 0.20/0.52 109[3:SpR:80.0,81.0] || -> equal(multiply(inverse(sk_c8),u),multiply(sk_c5,u))**.
% 0.20/0.52 120[0:Rew:97.0,103.0] || -> equal(multiply(u,identity),u)**.
% 0.20/0.52 121[4:Rew:120.0,101.0] || -> equal(inverse(sk_c9),sk_c4)**.
% 0.20/0.52 126[4:SpR:121.0,39.0] || -> equal(multiply(sk_c4,sk_c9),identity)**.
% 0.20/0.52 127[4:SpR:121.0,81.0] || -> equal(multiply(sk_c4,multiply(sk_c9,u)),u)**.
% 0.20/0.52 129[7:Rew:57.0,126.0] || -> equal(identity,sk_c8)**.
% 0.20/0.52 130[7:Rew:129.0,38.0] || -> equal(multiply(sk_c8,u),u)**.
% 0.20/0.52 132[7:Rew:129.0,63.0] || -> equal(multiply(sk_c7,sk_c6),sk_c8)**.
% 0.20/0.52 135[7:Rew:129.0,54.0] || equal(inverse(sk_c8),sk_c9) equal(sk_c9,u) equal(multiply(sk_c9,u),sk_c8)** -> .
% 0.20/0.52 140[7:Rew:130.0,94.0] || -> equal(sk_c7,sk_c8)**.
% 0.20/0.52 143[7:Rew:140.0,43.0] || -> equal(inverse(sk_c6),sk_c8)**.
% 0.20/0.52 144[7:Rew:140.0,49.0] || -> equal(multiply(sk_c6,sk_c9),sk_c8)**.
% 0.20/0.52 152[7:Rew:130.0,132.0,140.0,132.0] || -> equal(sk_c6,sk_c8)**.
% 0.20/0.52 153[7:Rew:152.0,143.0] || -> equal(inverse(sk_c8),sk_c8)**.
% 0.20/0.52 158[7:Rew:130.0,144.0,152.0,144.0] || -> equal(sk_c9,sk_c8)**.
% 0.20/0.52 194[7:Rew:130.0,135.2,158.0,135.2,158.0,135.1,153.0,135.0,158.0,135.0] || equal(sk_c8,sk_c8)* equal(sk_c8,u)* equal(u,sk_c8)* -> .
% 0.20/0.52 195[7:Obv:194.1] || equal(u,sk_c8)* -> .
% 0.20/0.52 196[7:UnC:195.0,81.0] || -> .
% 0.20/0.52 199[7:Spt:196.0,1.0,57.0] || equal(multiply(sk_c4,sk_c9),sk_c8)** -> .
% 0.20/0.52 200[7:Spt:196.0,1.1] || -> equal(multiply(sk_c8,sk_c9),sk_c7)**.
% 0.20/0.52 201[7:Rew:126.0,199.0] || equal(identity,sk_c8)** -> .
% 0.20/0.52 202[4:Rew:126.0,31.1] || -> equal(inverse(sk_c2),sk_c9)** equal(identity,sk_c8).
% 0.20/0.52 203[7:MRR:202.1,201.0] || -> equal(inverse(sk_c2),sk_c9)**.
% 0.20/0.52 206[4:Rew:126.0,25.0] || -> equal(identity,sk_c8) equal(multiply(sk_c2,sk_c9),sk_c3)**.
% 0.20/0.52 207[7:MRR:206.0,201.0] || -> equal(multiply(sk_c2,sk_c9),sk_c3)**.
% 0.20/0.52 208[4:Rew:126.0,19.0] || -> equal(identity,sk_c8) equal(multiply(sk_c9,sk_c3),sk_c8)**.
% 0.20/0.52 209[7:MRR:208.0,201.0] || -> equal(multiply(sk_c9,sk_c3),sk_c8)**.
% 0.20/0.52 234[7:SpR:207.0,81.0] || -> equal(multiply(inverse(sk_c2),sk_c3),sk_c9)**.
% 0.20/0.52 236[7:Rew:203.0,234.0] || -> equal(multiply(sk_c9,sk_c3),sk_c9)**.
% 0.20/0.52 237[7:Rew:209.0,236.0] || -> equal(sk_c9,sk_c8)**.
% 0.20/0.52 239[7:Rew:237.0,121.0] || -> equal(inverse(sk_c8),sk_c4)**.
% 0.20/0.52 242[7:Rew:237.0,126.0] || -> equal(multiply(sk_c4,sk_c8),identity)**.
% 0.20/0.52 249[7:Rew:237.0,91.0] || -> equal(multiply(sk_c7,multiply(sk_c7,u)),multiply(sk_c8,u))**.
% 0.20/0.52 262[7:Rew:239.0,109.0] || -> equal(multiply(sk_c5,u),multiply(sk_c4,u))**.
% 0.20/0.52 264[7:Rew:262.0,55.0] || -> equal(multiply(sk_c4,sk_c8),sk_c7)**.
% 0.20/0.52 267[7:Rew:242.0,264.0] || -> equal(identity,sk_c7)**.
% 0.20/0.52 268[7:Rew:267.0,201.0] || equal(sk_c7,sk_c8)** -> .
% 0.20/0.52 269[7:Rew:267.0,64.0] || -> equal(multiply(sk_c8,sk_c5),sk_c7)**.
% 0.20/0.52 270[7:Rew:267.0,63.0] || -> equal(multiply(sk_c7,sk_c6),sk_c7)**.
% 0.20/0.52 271[7:Rew:267.0,38.0] || -> equal(multiply(sk_c7,u),u)**.
% 0.20/0.52 277[7:Rew:271.0,270.0] || -> equal(sk_c6,sk_c7)**.
% 0.20/0.52 280[7:Rew:277.0,43.0] || -> equal(inverse(sk_c7),sk_c7)**.
% 0.20/0.52 299[7:Rew:271.0,249.0,271.0,249.0] || -> equal(multiply(sk_c8,u),u)**.
% 0.20/0.52 303[7:Rew:299.0,269.0] || -> equal(sk_c5,sk_c7)**.
% 0.20/0.52 308[7:Rew:303.0,45.0] || -> equal(inverse(sk_c7),sk_c8)**.
% 0.20/0.52 311[7:Rew:280.0,308.0] || -> equal(sk_c7,sk_c8)**.
% 0.20/0.52 312[7:MRR:311.0,268.0] || -> .
% 0.20/0.52 326[6:Spt:312.0,3.0,55.0] || equal(multiply(sk_c5,sk_c8),sk_c7)** -> .
% 0.20/0.52 327[6:Spt:312.0,3.1] || -> equal(multiply(sk_c8,sk_c9),sk_c7)**.
% 0.20/0.52 330[6:MRR:33.1,326.0] || -> equal(inverse(sk_c2),sk_c9)**.
% 0.20/0.52 331[6:MRR:15.1,326.0] || -> equal(inverse(sk_c1),sk_c8)**.
% 0.20/0.52 335[6:MRR:27.0,326.0] || -> equal(multiply(sk_c2,sk_c9),sk_c3)**.
% 0.20/0.52 336[6:MRR:21.0,326.0] || -> equal(multiply(sk_c9,sk_c3),sk_c8)**.
% 0.20/0.52 337[6:MRR:9.0,326.0] || -> equal(multiply(sk_c1,sk_c8),sk_c9)**.
% 0.20/0.52 368[6:SpR:335.0,81.0] || -> equal(multiply(inverse(sk_c2),sk_c3),sk_c9)**.
% 0.20/0.52 370[6:Rew:330.0,368.0] || -> equal(multiply(sk_c9,sk_c3),sk_c9)**.
% 0.20/0.52 371[6:Rew:336.0,370.0] || -> equal(sk_c9,sk_c8)**.
% 0.20/0.52 372[6:Rew:371.0,327.0] || -> equal(multiply(sk_c8,sk_c8),sk_c7)**.
% 0.20/0.52 374[6:Rew:371.0,121.0] || -> equal(inverse(sk_c8),sk_c4)**.
% 0.20/0.52 381[6:Rew:371.0,127.0] || -> equal(multiply(sk_c4,multiply(sk_c8,u)),u)**.
% 0.20/0.52 382[6:Rew:371.0,71.0] || -> equal(multiply(sk_c6,multiply(sk_c8,u)),multiply(sk_c7,u))**.
% 0.20/0.52 385[6:Rew:371.0,52.2] || equal(sk_c7,sk_c9) equal(sk_c7,u) equal(multiply(sk_c8,u),sk_c8)** -> .
% 0.20/0.52 390[6:Rew:371.0,337.0] || -> equal(multiply(sk_c1,sk_c8),sk_c8)**.
% 0.20/0.52 403[6:Rew:371.0,385.0] || equal(sk_c7,sk_c8) equal(sk_c7,u) equal(multiply(sk_c8,u),sk_c8)** -> .
% 0.20/0.52 420[3:SpR:64.0,81.0] || -> equal(multiply(inverse(sk_c8),identity),sk_c5)**.
% 0.20/0.52 473[6:SpR:390.0,81.0] || -> equal(multiply(inverse(sk_c1),sk_c8),sk_c8)**.
% 0.20/0.52 475[6:Rew:372.0,473.0,331.0,473.0] || -> equal(sk_c7,sk_c8)**.
% 0.20/0.52 482[6:Rew:475.0,106.0] || -> equal(multiply(inverse(sk_c8),u),multiply(sk_c6,u))**.
% 0.20/0.52 484[6:Rew:475.0,382.0] || -> equal(multiply(sk_c6,multiply(sk_c8,u)),multiply(sk_c8,u))**.
% 0.20/0.52 487[6:Rew:475.0,403.0] || equal(sk_c8,sk_c8) equal(sk_c7,u) equal(multiply(sk_c8,u),sk_c8)** -> .
% 0.20/0.52 491[6:Rew:374.0,482.0] || -> equal(multiply(sk_c6,u),multiply(sk_c4,u))**.
% 0.20/0.52 496[6:Rew:381.0,484.0,491.0,484.0] || -> equal(multiply(sk_c8,u),u)**.
% 0.20/0.52 539[6:Obv:487.0] || equal(sk_c7,u) equal(multiply(sk_c8,u),sk_c8)** -> .
% 0.20/0.52 540[6:Rew:496.0,539.1,475.0,539.0] || equal(sk_c8,u)* equal(u,sk_c8)* -> .
% 0.20/0.52 541[6:Obv:540.0] || equal(u,sk_c8)* -> .
% 0.20/0.52 542[6:UnC:541.0,371.0] || -> .
% 0.20/0.52 543[5:Spt:542.0,6.0,49.0] || equal(multiply(sk_c6,sk_c9),sk_c7)** -> .
% 0.20/0.52 544[5:Spt:542.0,6.1] || -> equal(multiply(sk_c8,sk_c9),sk_c7)**.
% 0.20/0.52 545[3:Rew:120.0,420.0] || -> equal(inverse(sk_c8),sk_c5)**.
% 0.20/0.52 548[5:MRR:36.1,543.0] || -> equal(inverse(sk_c2),sk_c9)**.
% 0.20/0.52 549[5:MRR:18.1,543.0] || -> equal(inverse(sk_c1),sk_c8)**.
% 0.20/0.52 550[5:MRR:30.0,543.0] || -> equal(multiply(sk_c2,sk_c9),sk_c3)**.
% 0.20/0.52 551[5:MRR:24.0,543.0] || -> equal(multiply(sk_c9,sk_c3),sk_c8)**.
% 0.20/0.52 552[5:MRR:12.0,543.0] || -> equal(multiply(sk_c1,sk_c8),sk_c9)**.
% 0.20/0.52 554[5:SpR:544.0,81.0] || -> equal(multiply(inverse(sk_c8),sk_c7),sk_c9)**.
% 0.20/0.52 556[5:Rew:545.0,554.0] || -> equal(multiply(sk_c5,sk_c7),sk_c9)**.
% 0.20/0.52 567[3:SpR:545.0,81.0] || -> equal(multiply(sk_c5,multiply(sk_c8,u)),u)**.
% 0.20/0.52 592[5:SpR:550.0,81.0] || -> equal(multiply(inverse(sk_c2),sk_c3),sk_c9)**.
% 0.20/0.52 594[5:Rew:548.0,592.0] || -> equal(multiply(sk_c9,sk_c3),sk_c9)**.
% 0.20/0.52 595[5:Rew:551.0,594.0] || -> equal(sk_c9,sk_c8)**.
% 0.20/0.52 596[5:Rew:595.0,544.0] || -> equal(multiply(sk_c8,sk_c8),sk_c7)**.
% 0.20/0.52 597[5:Rew:595.0,121.0] || -> equal(inverse(sk_c8),sk_c4)**.
% 0.20/0.52 599[5:Rew:595.0,47.0] || -> equal(inverse(sk_c4),sk_c8)**.
% 0.20/0.52 600[5:Rew:595.0,126.0] || -> equal(multiply(sk_c4,sk_c8),identity)**.
% 0.20/0.52 601[5:Rew:595.0,65.0] || -> equal(multiply(sk_c8,sk_c4),identity)**.
% 0.20/0.52 606[5:Rew:595.0,54.2] || equal(inverse(identity),sk_c9) equal(sk_c9,u) equal(multiply(sk_c8,u),sk_c8)** -> .
% 0.20/0.52 609[5:Rew:595.0,551.0] || -> equal(multiply(sk_c8,sk_c3),sk_c8)**.
% 0.20/0.52 610[5:Rew:595.0,552.0] || -> equal(multiply(sk_c1,sk_c8),sk_c8)**.
% 0.20/0.52 614[5:Rew:595.0,556.0] || -> equal(multiply(sk_c5,sk_c7),sk_c8)**.
% 0.20/0.52 616[5:Rew:545.0,597.0] || -> equal(sk_c5,sk_c4)**.
% 0.20/0.52 618[5:Rew:616.0,545.0] || -> equal(inverse(sk_c8),sk_c4)**.
% 0.20/0.52 622[5:Rew:616.0,614.0] || -> equal(multiply(sk_c4,sk_c7),sk_c8)**.
% 0.20/0.52 625[5:Rew:595.0,606.1,595.0,606.0] || equal(inverse(identity),sk_c8) equal(sk_c8,u) equal(multiply(sk_c8,u),sk_c8)** -> .
% 0.20/0.52 655[5:SpR:609.0,81.0] || -> equal(multiply(inverse(sk_c8),sk_c8),sk_c3)**.
% 0.20/0.52 657[5:Rew:600.0,655.0,618.0,655.0] || -> equal(identity,sk_c3)**.
% 0.20/0.52 659[5:Rew:657.0,600.0] || -> equal(multiply(sk_c4,sk_c8),sk_c3)**.
% 0.20/0.52 660[5:Rew:657.0,601.0] || -> equal(multiply(sk_c8,sk_c4),sk_c3)**.
% 0.20/0.52 661[5:Rew:657.0,38.0] || -> equal(multiply(sk_c3,u),u)**.
% 0.20/0.52 665[5:Rew:657.0,625.0] || equal(inverse(sk_c3),sk_c8) equal(sk_c8,u) equal(multiply(sk_c8,u),sk_c8)** -> .
% 0.20/0.52 671[5:SpR:610.0,81.0] || -> equal(multiply(inverse(sk_c1),sk_c8),sk_c8)**.
% 0.20/0.52 673[5:Rew:596.0,671.0,549.0,671.0] || -> equal(sk_c7,sk_c8)**.
% 0.20/0.52 678[5:Rew:673.0,622.0] || -> equal(multiply(sk_c4,sk_c8),sk_c8)**.
% 0.20/0.52 682[5:Rew:659.0,678.0] || -> equal(sk_c3,sk_c8)**.
% 0.20/0.52 686[5:Rew:682.0,660.0] || -> equal(multiply(sk_c8,sk_c4),sk_c8)**.
% 0.20/0.52 687[5:Rew:682.0,661.0] || -> equal(multiply(sk_c8,u),u)**.
% 0.20/0.52 691[5:Rew:682.0,665.0] || equal(inverse(sk_c8),sk_c8) equal(sk_c8,u) equal(multiply(sk_c8,u),sk_c8)** -> .
% 0.20/0.52 696[5:Rew:687.0,686.0] || -> equal(sk_c4,sk_c8)**.
% 0.20/0.52 705[5:Rew:696.0,599.0] || -> equal(inverse(sk_c8),sk_c8)**.
% 0.20/0.52 728[5:Rew:687.0,691.2,705.0,691.0] || equal(sk_c8,sk_c8)* equal(sk_c8,u)* equal(u,sk_c8)* -> .
% 0.20/0.52 729[5:Obv:728.1] || equal(u,sk_c8)* -> .
% 0.20/0.52 730[5:UnC:729.0,595.0] || -> .
% 0.20/0.52 733[4:Spt:730.0,2.0,47.0] || equal(inverse(sk_c4),sk_c9)** -> .
% 0.20/0.52 734[4:Spt:730.0,2.1] || -> equal(multiply(sk_c8,sk_c9),sk_c7)**.
% 0.20/0.52 735[4:MRR:32.0,733.0] || -> equal(inverse(sk_c2),sk_c9)**.
% 0.20/0.52 736[4:MRR:14.0,733.0] || -> equal(inverse(sk_c1),sk_c8)**.
% 0.20/0.52 737[4:MRR:26.0,733.0] || -> equal(multiply(sk_c2,sk_c9),sk_c3)**.
% 0.20/0.52 738[4:MRR:20.0,733.0] || -> equal(multiply(sk_c9,sk_c3),sk_c8)**.
% 0.20/0.52 739[4:MRR:8.0,733.0] || -> equal(multiply(sk_c1,sk_c8),sk_c9)**.
% 0.20/0.52 741[4:SpR:734.0,81.0] || -> equal(multiply(inverse(sk_c8),sk_c7),sk_c9)**.
% 0.20/0.52 743[4:Rew:545.0,741.0] || -> equal(multiply(sk_c5,sk_c7),sk_c9)**.
% 0.20/0.52 765[4:SpR:737.0,81.0] || -> equal(multiply(inverse(sk_c2),sk_c3),sk_c9)**.
% 0.20/0.52 767[4:Rew:735.0,765.0] || -> equal(multiply(sk_c9,sk_c3),sk_c9)**.
% 0.20/0.52 768[4:Rew:738.0,767.0] || -> equal(sk_c9,sk_c8)**.
% 0.20/0.52 769[4:Rew:768.0,734.0] || -> equal(multiply(sk_c8,sk_c8),sk_c7)**.
% 0.20/0.52 773[4:Rew:768.0,738.0] || -> equal(multiply(sk_c8,sk_c3),sk_c8)**.
% 0.20/0.52 774[4:Rew:768.0,739.0] || -> equal(multiply(sk_c1,sk_c8),sk_c8)**.
% 0.20/0.52 777[4:Rew:768.0,54.0] || equal(inverse(identity),sk_c8) equal(sk_c9,u) equal(multiply(sk_c9,u),sk_c8)** -> .
% 0.20/0.52 781[4:Rew:768.0,743.0] || -> equal(multiply(sk_c5,sk_c7),sk_c8)**.
% 0.20/0.52 785[4:Rew:768.0,777.2,768.0,777.1] || equal(inverse(identity),sk_c8) equal(sk_c8,u) equal(multiply(sk_c8,u),sk_c8)** -> .
% 0.20/0.52 803[4:SpR:773.0,81.0] || -> equal(multiply(inverse(sk_c8),sk_c8),sk_c3)**.
% 0.20/0.52 805[4:Rew:545.0,803.0] || -> equal(multiply(sk_c5,sk_c8),sk_c3)**.
% 0.20/0.52 807[4:SpR:774.0,81.0] || -> equal(multiply(inverse(sk_c1),sk_c8),sk_c8)**.
% 0.20/0.52 809[4:Rew:769.0,807.0,736.0,807.0] || -> equal(sk_c7,sk_c8)**.
% 0.20/0.52 815[4:Rew:809.0,781.0] || -> equal(multiply(sk_c5,sk_c8),sk_c8)**.
% 0.20/0.52 817[4:Rew:805.0,815.0] || -> equal(sk_c3,sk_c8)**.
% 0.20/0.52 822[4:Rew:817.0,805.0] || -> equal(multiply(sk_c5,sk_c8),sk_c8)**.
% 0.20/0.52 851[4:SpR:822.0,40.0] || -> equal(multiply(sk_c5,multiply(sk_c8,u)),multiply(sk_c8,u))**.
% 0.20/0.52 855[4:Rew:567.0,851.0] || -> equal(multiply(sk_c8,u),u)**.
% 0.20/0.52 856[4:Rew:855.0,64.0] || -> equal(identity,sk_c5)**.
% 0.20/0.52 859[4:Rew:855.0,785.2] || equal(inverse(identity),sk_c8)** equal(sk_c8,u)* equal(u,sk_c8)* -> .
% 0.20/0.52 874[4:Obv:859.1] || equal(inverse(identity),sk_c8)** equal(u,sk_c8)* -> .
% 0.20/0.52 875[4:Con:874.1] || equal(inverse(identity),sk_c8)** -> .
% 0.20/0.52 876[4:Rew:856.0,875.0] || equal(inverse(sk_c5),sk_c8)** -> .
% 0.20/0.52 877[4:Rew:45.0,876.0] || equal(sk_c8,sk_c8)* -> .
% 0.20/0.52 878[4:Obv:877.0] || -> .
% 0.20/0.52 879[3:Spt:878.0,4.0,45.0] || equal(inverse(sk_c5),sk_c8)** -> .
% 0.20/0.52 880[3:Spt:878.0,4.1] || -> equal(multiply(sk_c8,sk_c9),sk_c7)**.
% 0.20/0.52 881[3:MRR:34.0,879.0] || -> equal(inverse(sk_c2),sk_c9)**.
% 0.20/0.52 882[3:MRR:16.0,879.0] || -> equal(inverse(sk_c1),sk_c8)**.
% 0.20/0.52 883[3:MRR:28.0,879.0] || -> equal(multiply(sk_c2,sk_c9),sk_c3)**.
% 0.20/0.52 884[3:MRR:22.0,879.0] || -> equal(multiply(sk_c9,sk_c3),sk_c8)**.
% 0.20/0.52 885[3:MRR:10.0,879.0] || -> equal(multiply(sk_c1,sk_c8),sk_c9)**.
% 0.20/0.52 887[3:SpR:880.0,81.0] || -> equal(multiply(inverse(sk_c8),sk_c7),sk_c9)**.
% 0.20/0.52 901[3:SpR:883.0,81.0] || -> equal(multiply(inverse(sk_c2),sk_c3),sk_c9)**.
% 0.20/0.52 903[3:Rew:881.0,901.0] || -> equal(multiply(sk_c9,sk_c3),sk_c9)**.
% 0.20/0.52 904[3:Rew:884.0,903.0] || -> equal(sk_c9,sk_c8)**.
% 0.20/0.52 905[3:Rew:904.0,880.0] || -> equal(multiply(sk_c8,sk_c8),sk_c7)**.
% 0.20/0.52 908[3:Rew:904.0,884.0] || -> equal(multiply(sk_c8,sk_c3),sk_c8)**.
% 0.20/0.52 909[3:Rew:904.0,885.0] || -> equal(multiply(sk_c1,sk_c8),sk_c8)**.
% 0.20/0.52 913[3:Rew:904.0,66.2] || equal(inverse(inverse(sk_c9)),sk_c9) equal(identity,u) equal(multiply(sk_c8,u),sk_c8)** -> .
% 0.20/0.52 916[3:Rew:904.0,887.0] || -> equal(multiply(inverse(sk_c8),sk_c7),sk_c8)**.
% 0.20/0.52 921[3:Rew:904.0,913.0] || equal(inverse(inverse(sk_c8)),sk_c8) equal(identity,u) equal(multiply(sk_c8,u),sk_c8)** -> .
% 0.20/0.52 935[3:SpR:908.0,81.0] || -> equal(multiply(inverse(sk_c8),sk_c8),sk_c3)**.
% 0.20/0.52 937[3:Rew:39.0,935.0] || -> equal(identity,sk_c3)**.
% 0.20/0.52 939[3:Rew:937.0,38.0] || -> equal(multiply(sk_c3,u),u)**.
% 0.20/0.52 940[3:Rew:937.0,120.0] || -> equal(multiply(u,sk_c3),u)**.
% 0.20/0.52 941[3:Rew:937.0,39.0] || -> equal(multiply(inverse(u),u),sk_c3)**.
% 0.20/0.52 944[3:Rew:937.0,921.1] || equal(inverse(inverse(sk_c8)),sk_c8) equal(sk_c3,u) equal(multiply(sk_c8,u),sk_c8)** -> .
% 0.20/0.53 949[3:SpR:909.0,81.0] || -> equal(multiply(inverse(sk_c1),sk_c8),sk_c8)**.
% 0.20/0.53 951[3:Rew:905.0,949.0,882.0,949.0] || -> equal(sk_c7,sk_c8)**.
% 0.20/0.53 956[3:Rew:951.0,916.0] || -> equal(multiply(inverse(sk_c8),sk_c8),sk_c8)**.
% 0.20/0.53 959[3:Rew:941.0,956.0] || -> equal(sk_c3,sk_c8)**.
% 0.20/0.53 962[3:Rew:959.0,939.0] || -> equal(multiply(sk_c8,u),u)**.
% 0.20/0.53 963[3:Rew:959.0,940.0] || -> equal(multiply(u,sk_c8),u)**.
% 0.20/0.53 967[3:Rew:959.0,944.1] || equal(inverse(inverse(sk_c8)),sk_c8) equal(sk_c8,u) equal(multiply(sk_c8,u),sk_c8)** -> .
% 0.20/0.53 975[3:Rew:963.0,909.0] || -> equal(sk_c1,sk_c8)**.
% 0.20/0.53 977[3:Rew:975.0,882.0] || -> equal(inverse(sk_c8),sk_c8)**.
% 0.20/0.53 993[3:Rew:962.0,967.2,977.0,967.0,977.0,967.0] || equal(sk_c8,sk_c8)* equal(sk_c8,u)* equal(u,sk_c8)* -> .
% 0.20/0.53 994[3:Obv:993.1] || equal(u,sk_c8)* -> .
% 0.20/0.53 995[3:UnC:994.0,904.0] || -> .
% 0.20/0.53 997[2:Spt:995.0,5.0,43.0] || equal(inverse(sk_c6),sk_c7)** -> .
% 0.20/0.53 998[2:Spt:995.0,5.1] || -> equal(multiply(sk_c8,sk_c9),sk_c7)**.
% 0.20/0.53 999[2:MRR:35.0,997.0] || -> equal(inverse(sk_c2),sk_c9)**.
% 0.20/0.53 1000[2:MRR:17.0,997.0] || -> equal(inverse(sk_c1),sk_c8)**.
% 0.20/0.53 1001[2:MRR:29.0,997.0] || -> equal(multiply(sk_c2,sk_c9),sk_c3)**.
% 0.20/0.53 1002[2:MRR:23.0,997.0] || -> equal(multiply(sk_c9,sk_c3),sk_c8)**.
% 0.20/0.53 1003[2:MRR:11.0,997.0] || -> equal(multiply(sk_c1,sk_c8),sk_c9)**.
% 0.20/0.53 1005[2:SpR:998.0,81.0] || -> equal(multiply(inverse(sk_c8),sk_c7),sk_c9)**.
% 0.20/0.53 1012[2:SpR:1001.0,81.0] || -> equal(multiply(inverse(sk_c2),sk_c3),sk_c9)**.
% 0.20/0.53 1014[2:Rew:999.0,1012.0] || -> equal(multiply(sk_c9,sk_c3),sk_c9)**.
% 0.20/0.53 1015[2:Rew:1002.0,1014.0] || -> equal(sk_c9,sk_c8)**.
% 0.20/0.53 1016[2:Rew:1015.0,998.0] || -> equal(multiply(sk_c8,sk_c8),sk_c7)**.
% 0.20/0.53 1019[2:Rew:1015.0,1002.0] || -> equal(multiply(sk_c8,sk_c3),sk_c8)**.
% 0.20/0.53 1020[2:Rew:1015.0,1003.0] || -> equal(multiply(sk_c1,sk_c8),sk_c8)**.
% 0.20/0.53 1024[2:Rew:1015.0,66.2] || equal(inverse(inverse(sk_c9)),sk_c9) equal(identity,u) equal(multiply(sk_c8,u),sk_c8)** -> .
% 0.20/0.53 1027[2:Rew:1015.0,1005.0] || -> equal(multiply(inverse(sk_c8),sk_c7),sk_c8)**.
% 0.20/0.53 1032[2:Rew:1015.0,1024.0] || equal(inverse(inverse(sk_c8)),sk_c8) equal(identity,u) equal(multiply(sk_c8,u),sk_c8)** -> .
% 0.20/0.53 1046[2:SpR:1019.0,81.0] || -> equal(multiply(inverse(sk_c8),sk_c8),sk_c3)**.
% 0.20/0.53 1048[2:Rew:39.0,1046.0] || -> equal(identity,sk_c3)**.
% 0.20/0.53 1049[2:Rew:1048.0,120.0] || -> equal(multiply(u,sk_c3),u)**.
% 0.20/0.53 1050[2:Rew:1048.0,38.0] || -> equal(multiply(sk_c3,u),u)**.
% 0.20/0.53 1053[2:Rew:1048.0,39.0] || -> equal(multiply(inverse(u),u),sk_c3)**.
% 0.20/0.53 1054[2:Rew:1048.0,1032.1] || equal(inverse(inverse(sk_c8)),sk_c8) equal(sk_c3,u) equal(multiply(sk_c8,u),sk_c8)** -> .
% 0.20/0.53 1058[2:SpR:1020.0,81.0] || -> equal(multiply(inverse(sk_c1),sk_c8),sk_c8)**.
% 0.20/0.53 1060[2:Rew:1016.0,1058.0,1000.0,1058.0] || -> equal(sk_c7,sk_c8)**.
% 0.20/0.53 1063[2:Rew:1060.0,1027.0] || -> equal(multiply(inverse(sk_c8),sk_c8),sk_c8)**.
% 0.20/0.53 1065[2:Rew:1053.0,1063.0] || -> equal(sk_c3,sk_c8)**.
% 0.20/0.53 1068[2:Rew:1065.0,1049.0] || -> equal(multiply(u,sk_c8),u)**.
% 0.20/0.53 1069[2:Rew:1065.0,1050.0] || -> equal(multiply(sk_c8,u),u)**.
% 0.20/0.53 1073[2:Rew:1065.0,1054.1] || equal(inverse(inverse(sk_c8)),sk_c8) equal(sk_c8,u) equal(multiply(sk_c8,u),sk_c8)** -> .
% 0.20/0.53 1074[2:Rew:1068.0,1020.0] || -> equal(sk_c1,sk_c8)**.
% 0.20/0.53 1079[2:Rew:1074.0,1000.0] || -> equal(inverse(sk_c8),sk_c8)**.
% 0.20/0.53 1094[2:Rew:1069.0,1073.2,1079.0,1073.0,1079.0,1073.0] || equal(sk_c8,sk_c8)* equal(sk_c8,u)* equal(u,sk_c8)* -> .
% 0.20/0.53 1095[2:Obv:1094.1] || equal(u,sk_c8)* -> .
% 0.20/0.53 1096[2:UnC:1095.0,1015.0] || -> .
% 0.20/0.53 1098[1:Spt:1096.0,37.0,37.1,37.2,37.4,37.6,37.7,37.8,37.9,37.11] || equal(inverse(u),sk_c7) equal(inverse(v),sk_c8) equal(inverse(w),sk_c9) equal(inverse(x),sk_c8) equal(multiply(u,sk_c9),sk_c7)**+ equal(multiply(v,sk_c8),sk_c7)** equal(multiply(w,sk_c9),sk_c8)** equal(multiply(x,sk_c8),sk_c9)** equal(multiply(sk_c8,sk_c9),sk_c7)** -> .
% 0.20/0.53 1100[2:Spt:2.1] || -> equal(multiply(sk_c8,sk_c9),sk_c7)**.
% 0.20/0.53 1101[2:Rew:1100.0,1098.8] || equal(inverse(u),sk_c7) equal(inverse(v),sk_c8) equal(inverse(w),sk_c9) equal(inverse(x),sk_c8) equal(multiply(u,sk_c9),sk_c7)** equal(multiply(v,sk_c8),sk_c7)** equal(multiply(w,sk_c9),sk_c8)** equal(multiply(x,sk_c8),sk_c9)** equal(sk_c7,sk_c7) -> .
% 0.20/0.53 1103[2:Obv:1101.8] || equal(inverse(u),sk_c7) equal(inverse(v),sk_c8) equal(inverse(w),sk_c9) equal(inverse(x),sk_c8) equal(multiply(u,sk_c9),sk_c7)** equal(multiply(v,sk_c8),sk_c7)** equal(multiply(w,sk_c9),sk_c8)** equal(multiply(x,sk_c8),sk_c9)** -> .
% 0.20/0.53 1106[2:SpR:1100.0,81.0] || -> equal(multiply(inverse(sk_c8),sk_c7),sk_c9)**.
% 0.20/0.53 1108[3:Spt:35.1] || -> equal(inverse(sk_c2),sk_c9)**.
% 0.20/0.53 1111[4:Spt:17.1] || -> equal(inverse(sk_c1),sk_c8)**.
% 0.20/0.53 1114[5:Spt:29.1] || -> equal(multiply(sk_c2,sk_c9),sk_c3)**.
% 0.20/0.53 1116[5:SpR:1114.0,81.0] || -> equal(multiply(inverse(sk_c2),sk_c3),sk_c9)**.
% 0.20/0.53 1118[5:Rew:1108.0,1116.0] || -> equal(multiply(sk_c9,sk_c3),sk_c9)**.
% 0.20/0.53 1119[5:Rew:1118.0,19.1] || -> equal(multiply(sk_c4,sk_c9),sk_c8)** equal(sk_c9,sk_c8).
% 0.20/0.53 1120[5:Rew:1118.0,21.1] || -> equal(multiply(sk_c5,sk_c8),sk_c7)** equal(sk_c9,sk_c8).
% 0.20/0.53 1121[5:Rew:1118.0,24.1] || -> equal(multiply(sk_c6,sk_c9),sk_c7)** equal(sk_c9,sk_c8).
% 0.20/0.53 1122[5:Rew:1118.0,20.1] || -> equal(inverse(sk_c4),sk_c9)** equal(sk_c9,sk_c8).
% 0.20/0.53 1123[5:Rew:1118.0,22.1] || -> equal(inverse(sk_c5),sk_c8)** equal(sk_c9,sk_c8).
% 0.20/0.53 1124[5:Rew:1118.0,23.1] || -> equal(inverse(sk_c6),sk_c7)** equal(sk_c9,sk_c8).
% 0.20/0.53 1126[5:Rew:1123.1,10.1] || -> equal(inverse(sk_c5),sk_c8) equal(multiply(sk_c1,sk_c8),sk_c8)**.
% 0.20/0.53 1127[5:Rew:1124.1,11.1] || -> equal(inverse(sk_c6),sk_c7) equal(multiply(sk_c1,sk_c8),sk_c8)**.
% 0.20/0.53 1129[5:Rew:1120.1,9.1] || -> equal(multiply(sk_c5,sk_c8),sk_c7) equal(multiply(sk_c1,sk_c8),sk_c8)**.
% 0.20/0.53 1130[5:Rew:1121.1,12.1] || -> equal(multiply(sk_c6,sk_c9),sk_c7) equal(multiply(sk_c1,sk_c8),sk_c8)**.
% 0.20/0.53 1132[5:SpR:1118.0,81.0] || -> equal(multiply(inverse(sk_c9),sk_c9),sk_c3)**.
% 0.20/0.53 1134[5:Rew:39.0,1132.0] || -> equal(identity,sk_c3)**.
% 0.20/0.53 1135[5:Rew:1134.0,38.0] || -> equal(multiply(sk_c3,u),u)**.
% 0.20/0.53 1136[5:Rew:1134.0,120.0] || -> equal(multiply(u,sk_c3),u)**.
% 0.20/0.53 1137[5:Rew:1134.0,39.0] || -> equal(multiply(inverse(u),u),sk_c3)**.
% 0.20/0.53 1153[5:SpR:1137.0,81.0] || -> equal(multiply(inverse(inverse(u)),sk_c3),u)**.
% 0.20/0.53 1154[5:SpR:1137.0,1136.0] || -> equal(inverse(sk_c3),sk_c3)**.
% 0.20/0.53 1156[5:SpR:1108.0,1137.0] || -> equal(multiply(sk_c9,sk_c2),sk_c3)**.
% 0.20/0.53 1157[5:SpR:1111.0,1137.0] || -> equal(multiply(sk_c8,sk_c1),sk_c3)**.
% 0.20/0.53 1159[5:Rew:1136.0,1153.0] || -> equal(inverse(inverse(u)),u)**.
% 0.20/0.53 1167[5:SpR:1156.0,81.0] || -> equal(multiply(inverse(sk_c9),sk_c3),sk_c2)**.
% 0.20/0.53 1169[5:Rew:1136.0,1167.0] || -> equal(inverse(sk_c9),sk_c2)**.
% 0.20/0.53 1175[5:SpR:1157.0,81.0] || -> equal(multiply(inverse(sk_c8),sk_c3),sk_c1)**.
% 0.20/0.53 1177[5:Rew:1136.0,1175.0] || -> equal(inverse(sk_c8),sk_c1)**.
% 0.20/0.53 1180[6:Spt:1122.1] || -> equal(sk_c9,sk_c8)**.
% 0.20/0.53 1181[6:Rew:1180.0,1100.0] || -> equal(multiply(sk_c8,sk_c8),sk_c7)**.
% 0.20/0.53 1183[6:Rew:1180.0,1114.0] || -> equal(multiply(sk_c2,sk_c8),sk_c3)**.
% 0.20/0.53 1185[6:Rew:1180.0,1169.0] || -> equal(inverse(sk_c8),sk_c2)**.
% 0.20/0.53 1186[6:Rew:1180.0,1103.2] || equal(inverse(u),sk_c7) equal(inverse(v),sk_c8) equal(inverse(w),sk_c8) equal(inverse(x),sk_c8) equal(multiply(u,sk_c9),sk_c7)** equal(multiply(v,sk_c8),sk_c7)** equal(multiply(w,sk_c9),sk_c8)** equal(multiply(x,sk_c8),sk_c9)** -> .
% 0.20/0.53 1193[6:Rew:1180.0,1130.0] || -> equal(multiply(sk_c6,sk_c8),sk_c7) equal(multiply(sk_c1,sk_c8),sk_c8)**.
% 0.20/0.53 1195[6:Rew:1177.0,1185.0] || -> equal(sk_c2,sk_c1)**.
% 0.20/0.53 1197[6:Rew:1195.0,1183.0] || -> equal(multiply(sk_c1,sk_c8),sk_c3)**.
% 0.20/0.53 1198[6:Rew:1197.0,1129.1] || -> equal(multiply(sk_c5,sk_c8),sk_c7)** equal(sk_c3,sk_c8).
% 0.20/0.53 1199[6:Rew:1197.0,1127.1] || -> equal(inverse(sk_c6),sk_c7)** equal(sk_c3,sk_c8).
% 0.20/0.53 1200[6:Rew:1197.0,1126.1] || -> equal(inverse(sk_c5),sk_c8)** equal(sk_c3,sk_c8).
% 0.20/0.53 1206[6:Rew:1197.0,1193.1] || -> equal(multiply(sk_c6,sk_c8),sk_c7)** equal(sk_c3,sk_c8).
% 0.20/0.53 1207[6:Rew:1180.0,1186.7,1180.0,1186.6,1180.0,1186.4] || equal(inverse(u),sk_c7) equal(inverse(v),sk_c8) equal(inverse(w),sk_c8) equal(inverse(x),sk_c8) equal(multiply(u,sk_c8),sk_c7)** equal(multiply(v,sk_c8),sk_c7)** equal(multiply(w,sk_c8),sk_c8)** equal(multiply(x,sk_c8),sk_c8)** -> .
% 0.20/0.53 1208[6:Con:1207.3] || equal(inverse(u),sk_c7) equal(inverse(v),sk_c8) equal(inverse(w),sk_c8) equal(multiply(u,sk_c8),sk_c7)** equal(multiply(v,sk_c8),sk_c7)** equal(multiply(w,sk_c8),sk_c8)** -> .
% 0.20/0.53 1225[7:Spt:1199.1] || -> equal(sk_c3,sk_c8)**.
% 0.20/0.53 1227[7:Rew:1225.0,1135.0] || -> equal(multiply(sk_c8,u),u)**.
% 0.20/0.53 1228[7:Rew:1225.0,1136.0] || -> equal(multiply(u,sk_c8),u)**.
% 0.20/0.53 1230[7:Rew:1225.0,1154.0] || -> equal(inverse(sk_c8),sk_c8)**.
% 0.20/0.53 1233[7:Rew:1177.0,1230.0] || -> equal(sk_c1,sk_c8)**.
% 0.20/0.53 1234[7:Rew:1233.0,1111.0] || -> equal(inverse(sk_c8),sk_c8)**.
% 0.20/0.53 1240[7:Rew:1227.0,1181.0] || -> equal(sk_c7,sk_c8)**.
% 0.20/0.53 1242[7:Rew:1240.0,1208.0] || equal(inverse(u),sk_c8) equal(inverse(v),sk_c8) equal(inverse(w),sk_c8) equal(multiply(u,sk_c8),sk_c7)** equal(multiply(v,sk_c8),sk_c7)** equal(multiply(w,sk_c8),sk_c8)** -> .
% 0.20/0.53 1250[7:Con:1242.1] || equal(inverse(u),sk_c8) equal(inverse(v),sk_c8) equal(multiply(u,sk_c8),sk_c7)** equal(multiply(v,sk_c8),sk_c8)** -> .
% 0.20/0.53 1251[7:Rew:1228.0,1250.3,1228.0,1250.2,1240.0,1250.2] || equal(inverse(u),sk_c8)** equal(inverse(v),sk_c8)** equal(u,sk_c8) equal(v,sk_c8) -> .
% 0.20/0.53 1252[7:Con:1251.1] || equal(inverse(u),sk_c8)** equal(u,sk_c8) -> .
% 0.20/0.53 1286[7:SpL:1234.0,1252.0] || equal(sk_c8,sk_c8)* equal(sk_c8,sk_c8)* -> .
% 0.20/0.53 1288[7:Obv:1286.1] || -> .
% 0.20/0.53 1289[7:Spt:1288.0,1199.1,1225.0] || equal(sk_c3,sk_c8)** -> .
% 0.20/0.53 1290[7:Spt:1288.0,1199.0] || -> equal(inverse(sk_c6),sk_c7)**.
% 0.20/0.53 1291[7:MRR:1200.1,1289.0] || -> equal(inverse(sk_c5),sk_c8)**.
% 0.20/0.53 1293[7:MRR:1198.1,1289.0] || -> equal(multiply(sk_c5,sk_c8),sk_c7)**.
% 0.20/0.53 1295[7:MRR:1206.1,1289.0] || -> equal(multiply(sk_c6,sk_c8),sk_c7)**.
% 0.20/0.53 1297[7:SpR:1290.0,1159.0] || -> equal(inverse(sk_c7),sk_c6)**.
% 0.20/0.53 1312[7:SpR:1291.0,1159.0] || -> equal(inverse(sk_c8),sk_c5)**.
% 0.20/0.53 1314[7:Rew:1177.0,1312.0] || -> equal(sk_c1,sk_c5)**.
% 0.20/0.53 1318[7:Rew:1314.0,1197.0] || -> equal(multiply(sk_c5,sk_c8),sk_c3)**.
% 0.20/0.53 1323[7:Rew:1293.0,1318.0] || -> equal(sk_c3,sk_c7)**.
% 0.20/0.53 1325[7:Rew:1323.0,1154.0] || -> equal(inverse(sk_c7),sk_c7)**.
% 0.20/0.53 1326[7:Rew:1323.0,1289.0] || equal(sk_c7,sk_c8)** -> .
% 0.20/0.53 1328[7:Rew:1323.0,1135.0] || -> equal(multiply(sk_c7,u),u)**.
% 0.20/0.53 1330[7:Rew:1297.0,1325.0] || -> equal(sk_c6,sk_c7)**.
% 0.20/0.53 1332[7:Rew:1330.0,1295.0] || -> equal(multiply(sk_c7,sk_c8),sk_c7)**.
% 0.20/0.53 1344[7:Rew:1328.0,1332.0] || -> equal(sk_c7,sk_c8)**.
% 0.20/0.53 1345[7:MRR:1344.0,1326.0] || -> .
% 0.20/0.53 1350[6:Spt:1345.0,1122.1,1180.0] || equal(sk_c9,sk_c8)** -> .
% 0.20/0.53 1351[6:Spt:1345.0,1122.0] || -> equal(inverse(sk_c4),sk_c9)**.
% 0.20/0.53 1352[6:MRR:1123.1,1350.0] || -> equal(inverse(sk_c5),sk_c8)**.
% 0.20/0.53 1354[6:MRR:1119.1,1350.0] || -> equal(multiply(sk_c4,sk_c9),sk_c8)**.
% 0.20/0.53 1355[6:MRR:1120.1,1350.0] || -> equal(multiply(sk_c5,sk_c8),sk_c7)**.
% 0.20/0.53 1358[6:SpR:1351.0,1159.0] || -> equal(inverse(sk_c9),sk_c4)**.
% 0.20/0.53 1360[6:Rew:1169.0,1358.0] || -> equal(sk_c2,sk_c4)**.
% 0.20/0.53 1361[6:Rew:1360.0,1169.0] || -> equal(inverse(sk_c9),sk_c4)**.
% 0.20/0.53 1363[6:Rew:1360.0,1156.0] || -> equal(multiply(sk_c9,sk_c4),sk_c3)**.
% 0.20/0.53 1364[6:Rew:1360.0,1114.0] || -> equal(multiply(sk_c4,sk_c9),sk_c3)**.
% 0.20/0.53 1367[6:Rew:1354.0,1364.0] || -> equal(sk_c3,sk_c8)**.
% 0.20/0.53 1371[6:Rew:1367.0,1135.0] || -> equal(multiply(sk_c8,u),u)**.
% 0.20/0.53 1372[6:Rew:1367.0,1136.0] || -> equal(multiply(u,sk_c8),u)**.
% 0.20/0.53 1375[6:Rew:1367.0,1363.0] || -> equal(multiply(sk_c9,sk_c4),sk_c8)**.
% 0.20/0.53 1383[6:Rew:1371.0,1100.0] || -> equal(sk_c7,sk_c9)**.
% 0.20/0.53 1386[6:Rew:1383.0,1355.0] || -> equal(multiply(sk_c5,sk_c8),sk_c9)**.
% 0.20/0.53 1392[6:Rew:1372.0,1386.0] || -> equal(sk_c5,sk_c9)**.
% 0.20/0.53 1393[6:Rew:1392.0,1352.0] || -> equal(inverse(sk_c9),sk_c8)**.
% 0.20/0.53 1394[6:Rew:1361.0,1393.0] || -> equal(sk_c4,sk_c8)**.
% 0.20/0.53 1399[6:Rew:1394.0,1375.0] || -> equal(multiply(sk_c9,sk_c8),sk_c8)**.
% 0.20/0.53 1404[6:Rew:1372.0,1399.0] || -> equal(sk_c9,sk_c8)**.
% 0.20/0.53 1405[6:MRR:1404.0,1350.0] || -> .
% 0.20/0.53 1416[5:Spt:1405.0,29.1,1114.0] || equal(multiply(sk_c2,sk_c9),sk_c3)** -> .
% 0.20/0.53 1417[5:Spt:1405.0,29.0] || -> equal(inverse(sk_c6),sk_c7)**.
% 0.20/0.53 1418[5:MRR:28.1,1416.0] || -> equal(inverse(sk_c5),sk_c8)**.
% 0.20/0.53 1419[5:MRR:26.1,1416.0] || -> equal(inverse(sk_c4),sk_c9)**.
% 0.20/0.53 1420[5:MRR:30.1,1416.0] || -> equal(multiply(sk_c6,sk_c9),sk_c7)**.
% 0.20/0.53 1421[5:MRR:27.1,1416.0] || -> equal(multiply(sk_c5,sk_c8),sk_c7)**.
% 0.20/0.53 1422[5:MRR:25.1,1416.0] || -> equal(multiply(sk_c4,sk_c9),sk_c8)**.
% 0.20/0.53 1437[5:SpR:1420.0,81.0] || -> equal(multiply(inverse(sk_c6),sk_c7),sk_c9)**.
% 0.20/0.53 1439[5:Rew:1417.0,1437.0] || -> equal(multiply(sk_c7,sk_c7),sk_c9)**.
% 0.20/0.53 1441[5:SpR:1421.0,81.0] || -> equal(multiply(inverse(sk_c5),sk_c7),sk_c8)**.
% 0.20/0.53 1443[5:Rew:1418.0,1441.0] || -> equal(multiply(sk_c8,sk_c7),sk_c8)**.
% 0.20/0.53 1445[5:SpR:1422.0,81.0] || -> equal(multiply(inverse(sk_c4),sk_c8),sk_c9)**.
% 0.20/0.53 1447[5:Rew:1419.0,1445.0] || -> equal(multiply(sk_c9,sk_c8),sk_c9)**.
% 0.20/0.53 1452[5:SpR:1443.0,81.0] || -> equal(multiply(inverse(sk_c8),sk_c8),sk_c7)**.
% 0.20/0.53 1454[5:Rew:39.0,1452.0] || -> equal(identity,sk_c7)**.
% 0.20/0.53 1455[5:Rew:1454.0,120.0] || -> equal(multiply(u,sk_c7),u)**.
% 0.20/0.53 1456[5:Rew:1454.0,38.0] || -> equal(multiply(sk_c7,u),u)**.
% 0.20/0.53 1459[5:Rew:1455.0,1439.0] || -> equal(sk_c7,sk_c9)**.
% 0.20/0.53 1460[5:Rew:1455.0,1106.0] || -> equal(inverse(sk_c8),sk_c9)**.
% 0.20/0.53 1468[5:Rew:1459.0,1103.0] || equal(inverse(u),sk_c9) equal(inverse(v),sk_c8) equal(inverse(w),sk_c9) equal(inverse(x),sk_c8) equal(multiply(u,sk_c9),sk_c7)** equal(multiply(v,sk_c8),sk_c7)** equal(multiply(w,sk_c9),sk_c8)** equal(multiply(x,sk_c8),sk_c9)** -> .
% 0.20/0.53 1474[5:Rew:1459.0,1455.0] || -> equal(multiply(u,sk_c9),u)**.
% 0.20/0.53 1475[5:Rew:1459.0,1456.0] || -> equal(multiply(sk_c9,u),u)**.
% 0.20/0.53 1476[5:Rew:1475.0,1447.0] || -> equal(sk_c9,sk_c8)**.
% 0.20/0.53 1484[5:Rew:1476.0,1459.0] || -> equal(sk_c7,sk_c8)**.
% 0.20/0.53 1486[5:Rew:1476.0,1460.0] || -> equal(inverse(sk_c8),sk_c8)**.
% 0.20/0.53 1492[5:Rew:1476.0,1474.0] || -> equal(multiply(u,sk_c8),u)**.
% 0.20/0.53 1510[5:Rew:1492.0,1468.7,1476.0,1468.7,1492.0,1468.6,1476.0,1468.6,1492.0,1468.5,1484.0,1468.5,1492.0,1468.4,1476.0,1468.4,1484.0,1468.4,1476.0,1468.2,1476.0,1468.0] || equal(inverse(u),sk_c8)** equal(inverse(v),sk_c8)** equal(inverse(w),sk_c8)** equal(inverse(x),sk_c8)** equal(u,sk_c8) equal(v,sk_c8) equal(w,sk_c8) equal(x,sk_c8) -> .
% 0.20/0.53 1511[5:Con:1510.1] || equal(inverse(u),sk_c8)** equal(u,sk_c8) -> .
% 0.20/0.53 1607[5:SpL:1486.0,1511.0] || equal(sk_c8,sk_c8)* equal(sk_c8,sk_c8)* -> .
% 0.20/0.53 1609[5:Obv:1607.1] || -> .
% 0.20/0.53 1610[4:Spt:1609.0,17.1,1111.0] || equal(inverse(sk_c1),sk_c8)** -> .
% 0.20/0.53 1611[4:Spt:1609.0,17.0] || -> equal(inverse(sk_c6),sk_c7)**.
% 0.20/0.53 1612[4:MRR:16.1,1610.0] || -> equal(inverse(sk_c5),sk_c8)**.
% 0.20/0.53 1613[4:MRR:14.1,1610.0] || -> equal(inverse(sk_c4),sk_c9)**.
% 0.20/0.53 1614[4:MRR:18.0,1610.0] || -> equal(multiply(sk_c6,sk_c9),sk_c7)**.
% 0.20/0.53 1615[4:MRR:15.0,1610.0] || -> equal(multiply(sk_c5,sk_c8),sk_c7)**.
% 0.20/0.53 1616[4:MRR:13.0,1610.0] || -> equal(multiply(sk_c4,sk_c9),sk_c8)**.
% 0.20/0.53 1629[4:SpR:1614.0,81.0] || -> equal(multiply(inverse(sk_c6),sk_c7),sk_c9)**.
% 0.20/0.53 1631[4:Rew:1611.0,1629.0] || -> equal(multiply(sk_c7,sk_c7),sk_c9)**.
% 0.20/0.53 1633[4:SpR:1615.0,81.0] || -> equal(multiply(inverse(sk_c5),sk_c7),sk_c8)**.
% 0.20/0.53 1635[4:Rew:1612.0,1633.0] || -> equal(multiply(sk_c8,sk_c7),sk_c8)**.
% 0.20/0.53 1644[4:SpR:1635.0,81.0] || -> equal(multiply(inverse(sk_c8),sk_c8),sk_c7)**.
% 0.20/0.53 1646[4:Rew:39.0,1644.0] || -> equal(identity,sk_c7)**.
% 0.20/0.53 1647[4:Rew:1646.0,38.0] || -> equal(multiply(sk_c7,u),u)**.
% 0.20/0.53 1648[4:Rew:1646.0,120.0] || -> equal(multiply(u,sk_c7),u)**.
% 0.20/0.53 1651[4:Rew:1647.0,1631.0] || -> equal(sk_c7,sk_c9)**.
% 0.20/0.53 1658[4:Rew:1651.0,1100.0] || -> equal(multiply(sk_c8,sk_c9),sk_c9)**.
% 0.20/0.53 1663[4:Rew:1651.0,1103.0] || equal(inverse(u),sk_c9) equal(inverse(v),sk_c8) equal(inverse(w),sk_c9) equal(inverse(x),sk_c8) equal(multiply(u,sk_c9),sk_c7)** equal(multiply(v,sk_c8),sk_c7)** equal(multiply(w,sk_c9),sk_c8)** equal(multiply(x,sk_c8),sk_c9)** -> .
% 0.20/0.53 1668[4:Rew:1651.0,1648.0] || -> equal(multiply(u,sk_c9),u)**.
% 0.20/0.53 1669[4:Rew:1668.0,1616.0] || -> equal(sk_c4,sk_c8)**.
% 0.20/0.53 1670[4:Rew:1669.0,1613.0] || -> equal(inverse(sk_c8),sk_c9)**.
% 0.20/0.53 1673[4:Rew:1668.0,1658.0] || -> equal(sk_c9,sk_c8)**.
% 0.20/0.53 1677[4:Rew:1673.0,1651.0] || -> equal(sk_c7,sk_c8)**.
% 0.20/0.53 1680[4:Rew:1673.0,1668.0] || -> equal(multiply(u,sk_c8),u)**.
% 0.20/0.53 1681[4:Rew:1673.0,1670.0] || -> equal(inverse(sk_c8),sk_c8)**.
% 0.20/0.53 1701[4:Rew:1680.0,1663.7,1673.0,1663.7,1680.0,1663.6,1673.0,1663.6,1680.0,1663.5,1677.0,1663.5,1680.0,1663.4,1673.0,1663.4,1677.0,1663.4,1673.0,1663.2,1673.0,1663.0] || equal(inverse(u),sk_c8)** equal(inverse(v),sk_c8)** equal(inverse(w),sk_c8)** equal(inverse(x),sk_c8)** equal(u,sk_c8) equal(v,sk_c8) equal(w,sk_c8) equal(x,sk_c8) -> .
% 0.20/0.53 1702[4:Con:1701.1] || equal(inverse(u),sk_c8)** equal(u,sk_c8) -> .
% 0.20/0.53 1751[4:SpL:1681.0,1702.0] || equal(sk_c8,sk_c8)* equal(sk_c8,sk_c8)* -> .
% 0.20/0.53 1752[4:Obv:1751.1] || -> .
% 0.20/0.53 1753[3:Spt:1752.0,35.1,1108.0] || equal(inverse(sk_c2),sk_c9)** -> .
% 0.20/0.53 1754[3:Spt:1752.0,35.0] || -> equal(inverse(sk_c6),sk_c7)**.
% 0.20/0.53 1755[3:MRR:34.1,1753.0] || -> equal(inverse(sk_c5),sk_c8)**.
% 0.20/0.53 1756[3:MRR:32.1,1753.0] || -> equal(inverse(sk_c4),sk_c9)**.
% 0.20/0.53 1757[3:MRR:36.0,1753.0] || -> equal(multiply(sk_c6,sk_c9),sk_c7)**.
% 0.20/0.53 1758[3:MRR:33.0,1753.0] || -> equal(multiply(sk_c5,sk_c8),sk_c7)**.
% 0.20/0.53 1759[3:MRR:31.0,1753.0] || -> equal(multiply(sk_c4,sk_c9),sk_c8)**.
% 0.20/0.53 1770[3:SpR:1757.0,81.0] || -> equal(multiply(inverse(sk_c6),sk_c7),sk_c9)**.
% 0.20/0.53 1772[3:Rew:1754.0,1770.0] || -> equal(multiply(sk_c7,sk_c7),sk_c9)**.
% 0.20/0.53 1774[3:SpR:1758.0,81.0] || -> equal(multiply(inverse(sk_c5),sk_c7),sk_c8)**.
% 0.20/0.53 1776[3:Rew:1755.0,1774.0] || -> equal(multiply(sk_c8,sk_c7),sk_c8)**.
% 0.20/0.53 1778[3:SpR:1759.0,81.0] || -> equal(multiply(inverse(sk_c4),sk_c8),sk_c9)**.
% 0.20/0.53 1780[3:Rew:1756.0,1778.0] || -> equal(multiply(sk_c9,sk_c8),sk_c9)**.
% 0.20/0.53 1785[3:SpR:1776.0,81.0] || -> equal(multiply(inverse(sk_c8),sk_c8),sk_c7)**.
% 0.20/0.53 1787[3:Rew:39.0,1785.0] || -> equal(identity,sk_c7)**.
% 0.20/0.53 1788[3:Rew:1787.0,120.0] || -> equal(multiply(u,sk_c7),u)**.
% 0.20/0.53 1789[3:Rew:1787.0,38.0] || -> equal(multiply(sk_c7,u),u)**.
% 0.20/0.53 1792[3:Rew:1788.0,1772.0] || -> equal(sk_c7,sk_c9)**.
% 0.20/0.53 1793[3:Rew:1788.0,1106.0] || -> equal(inverse(sk_c8),sk_c9)**.
% 0.20/0.53 1801[3:Rew:1792.0,1103.0] || equal(inverse(u),sk_c9) equal(inverse(v),sk_c8) equal(inverse(w),sk_c9) equal(inverse(x),sk_c8) equal(multiply(u,sk_c9),sk_c7)** equal(multiply(v,sk_c8),sk_c7)** equal(multiply(w,sk_c9),sk_c8)** equal(multiply(x,sk_c8),sk_c9)** -> .
% 0.20/0.53 1807[3:Rew:1792.0,1788.0] || -> equal(multiply(u,sk_c9),u)**.
% 0.20/0.53 1808[3:Rew:1792.0,1789.0] || -> equal(multiply(sk_c9,u),u)**.
% 0.20/0.53 1809[3:Rew:1808.0,1780.0] || -> equal(sk_c9,sk_c8)**.
% 0.20/0.53 1815[3:Rew:1809.0,1792.0] || -> equal(sk_c7,sk_c8)**.
% 0.20/0.53 1817[3:Rew:1809.0,1793.0] || -> equal(inverse(sk_c8),sk_c8)**.
% 0.20/0.53 1823[3:Rew:1809.0,1807.0] || -> equal(multiply(u,sk_c8),u)**.
% 0.20/0.53 1839[3:Rew:1823.0,1801.7,1809.0,1801.7,1823.0,1801.6,1809.0,1801.6,1823.0,1801.5,1815.0,1801.5,1823.0,1801.4,1809.0,1801.4,1815.0,1801.4,1809.0,1801.2,1809.0,1801.0] || equal(inverse(u),sk_c8)** equal(inverse(v),sk_c8)** equal(inverse(w),sk_c8)** equal(inverse(x),sk_c8)** equal(u,sk_c8) equal(v,sk_c8) equal(w,sk_c8) equal(x,sk_c8) -> .
% 0.20/0.53 1840[3:Con:1839.1] || equal(inverse(u),sk_c8)** equal(u,sk_c8) -> .
% 0.20/0.53 1913[3:SpL:1817.0,1840.0] || equal(sk_c8,sk_c8)* equal(sk_c8,sk_c8)* -> .
% 0.20/0.53 1915[3:Obv:1913.1] || -> .
% 0.20/0.53 1916[2:Spt:1915.0,2.1,1100.0] || equal(multiply(sk_c8,sk_c9),sk_c7)** -> .
% 0.20/0.53 1917[2:Spt:1915.0,2.0] || -> equal(inverse(sk_c4),sk_c9)**.
% 0.20/0.53 1918[2:MRR:4.1,1916.0] || -> equal(inverse(sk_c5),sk_c8)**.
% 0.20/0.53 1919[2:MRR:5.1,1916.0] || -> equal(inverse(sk_c6),sk_c7)**.
% 0.20/0.53 1920[2:MRR:1.1,1916.0] || -> equal(multiply(sk_c4,sk_c9),sk_c8)**.
% 0.20/0.53 1921[2:MRR:3.1,1916.0] || -> equal(multiply(sk_c5,sk_c8),sk_c7)**.
% 0.20/0.53 1922[2:MRR:6.1,1916.0] || -> equal(multiply(sk_c6,sk_c9),sk_c7)**.
% 0.20/0.53 1927[2:SpR:1919.0,81.0] || -> equal(multiply(sk_c7,multiply(sk_c6,u)),u)**.
% 0.20/0.53 1929[2:SpR:1920.0,40.0] || -> equal(multiply(sk_c4,multiply(sk_c9,u)),multiply(sk_c8,u))**.
% 0.20/0.53 1930[2:SpR:1920.0,81.0] || -> equal(multiply(inverse(sk_c4),sk_c8),sk_c9)**.
% 0.20/0.53 1932[2:Rew:1917.0,1930.0] || -> equal(multiply(sk_c9,sk_c8),sk_c9)**.
% 0.20/0.53 1934[2:SpR:1921.0,81.0] || -> equal(multiply(inverse(sk_c5),sk_c7),sk_c8)**.
% 0.20/0.53 1936[2:Rew:1918.0,1934.0] || -> equal(multiply(sk_c8,sk_c7),sk_c8)**.
% 0.20/0.53 1937[2:SpR:1922.0,40.0] || -> equal(multiply(sk_c6,multiply(sk_c9,u)),multiply(sk_c7,u))**.
% 0.20/0.53 1942[2:SpR:1932.0,81.0] || -> equal(multiply(inverse(sk_c9),sk_c9),sk_c8)**.
% 0.20/0.53 1944[2:Rew:39.0,1942.0] || -> equal(identity,sk_c8)**.
% 0.20/0.53 1945[2:Rew:1944.0,38.0] || -> equal(multiply(sk_c8,u),u)**.
% 0.20/0.53 1949[2:Rew:1945.0,1936.0] || -> equal(sk_c7,sk_c8)**.
% 0.20/0.53 1950[2:Rew:1945.0,1916.0] || equal(sk_c7,sk_c9)** -> .
% 0.20/0.53 1951[2:Rew:1945.0,1929.0] || -> equal(multiply(sk_c4,multiply(sk_c9,u)),u)**.
% 0.20/0.53 1957[2:Rew:1949.0,1927.0] || -> equal(multiply(sk_c8,multiply(sk_c6,u)),u)**.
% 0.20/0.53 1958[2:Rew:1949.0,1937.0] || -> equal(multiply(sk_c6,multiply(sk_c9,u)),multiply(sk_c8,u))**.
% 0.20/0.53 1960[2:Rew:1949.0,1950.0] || equal(sk_c9,sk_c8)** -> .
% 0.20/0.53 1964[2:Rew:1945.0,1957.0] || -> equal(multiply(sk_c6,u),u)**.
% 0.20/0.53 1968[2:Rew:1964.0,1958.0,1945.0,1958.0] || -> equal(multiply(sk_c9,u),u)**.
% 0.20/0.53 1969[2:Rew:1968.0,1951.0] || -> equal(multiply(sk_c4,u),u)**.
% 0.20/0.53 1971[2:Rew:1969.0,1920.0] || -> equal(sk_c9,sk_c8)**.
% 0.20/0.53 1972[2:MRR:1971.0,1960.0] || -> .
% 0.20/0.53 % SZS output end Refutation
% 0.20/0.53 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_8 prove_this_9 prove_this_10 prove_this_11 prove_this_12 prove_this_13 prove_this_14 prove_this_15 prove_this_16 prove_this_17 prove_this_18 prove_this_19 prove_this_20 prove_this_21 prove_this_22 prove_this_23 prove_this_24 prove_this_25 prove_this_26 prove_this_27 prove_this_28 prove_this_29 prove_this_30 prove_this_31 prove_this_32 prove_this_33 prove_this_34 prove_this_35 prove_this_36 prove_this_37 left_identity left_inverse associativity
% 0.20/0.53
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