TSTP Solution File: GRP252-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GRP252-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n003.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 11:46:32 EDT 2022
% Result : Unsatisfiable 0.37s 0.54s
% Output : Refutation 0.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP252-1 : TPTP v8.1.0. Released v2.5.0.
% 0.08/0.14 % Command : run_spass %d %s
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jun 13 21:48:24 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.37/0.54
% 0.37/0.54 SPASS V 3.9
% 0.37/0.54 SPASS beiseite: Proof found.
% 0.37/0.54 % SZS status Theorem
% 0.37/0.54 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/0.54 SPASS derived 1196 clauses, backtracked 300 clauses, performed 11 splits and kept 657 clauses.
% 0.37/0.54 SPASS allocated 64188 KBytes.
% 0.37/0.54 SPASS spent 0:00:00.18 on the problem.
% 0.37/0.54 0:00:00.04 for the input.
% 0.37/0.54 0:00:00.00 for the FLOTTER CNF translation.
% 0.37/0.54 0:00:00.01 for inferences.
% 0.37/0.54 0:00:00.00 for the backtracking.
% 0.37/0.54 0:00:00.10 for the reduction.
% 0.37/0.54
% 0.37/0.54
% 0.37/0.54 Here is a proof with depth 4, length 302 :
% 0.37/0.54 % SZS output start Refutation
% 0.37/0.54 1[0:Inp] || -> equal(multiply(sk_c4,sk_c10),sk_c9)** equal(multiply(sk_c1,sk_c10),sk_c9).
% 0.37/0.54 2[0:Inp] || -> equal(inverse(sk_c4),sk_c10) equal(multiply(sk_c1,sk_c10),sk_c9)**.
% 0.37/0.54 3[0:Inp] || -> equal(multiply(sk_c5,sk_c8),sk_c9)** equal(multiply(sk_c1,sk_c10),sk_c9).
% 0.37/0.54 5[0:Inp] || -> equal(multiply(sk_c8,sk_c7),sk_c9)** equal(multiply(sk_c1,sk_c10),sk_c9).
% 0.37/0.54 8[0:Inp] || -> equal(inverse(sk_c1),sk_c10) equal(multiply(sk_c4,sk_c10),sk_c9)**.
% 0.37/0.54 9[0:Inp] || -> equal(inverse(sk_c4),sk_c10)** equal(inverse(sk_c1),sk_c10).
% 0.37/0.54 10[0:Inp] || -> equal(inverse(sk_c1),sk_c10) equal(multiply(sk_c5,sk_c8),sk_c9)**.
% 0.37/0.54 11[0:Inp] || -> equal(inverse(sk_c5),sk_c8)** equal(inverse(sk_c1),sk_c10).
% 0.37/0.54 12[0:Inp] || -> equal(inverse(sk_c1),sk_c10) equal(multiply(sk_c8,sk_c7),sk_c9)**.
% 0.37/0.54 13[0:Inp] || -> equal(inverse(sk_c1),sk_c10) equal(multiply(sk_c6,sk_c8),sk_c7)**.
% 0.37/0.54 14[0:Inp] || -> equal(inverse(sk_c6),sk_c8)** equal(inverse(sk_c1),sk_c10).
% 0.37/0.54 16[0:Inp] || -> equal(inverse(sk_c4),sk_c10) equal(multiply(sk_c2,sk_c9),sk_c8)**.
% 0.37/0.54 17[0:Inp] || -> equal(multiply(sk_c5,sk_c8),sk_c9) equal(multiply(sk_c2,sk_c9),sk_c8)**.
% 0.37/0.54 18[0:Inp] || -> equal(inverse(sk_c5),sk_c8) equal(multiply(sk_c2,sk_c9),sk_c8)**.
% 0.37/0.54 19[0:Inp] || -> equal(multiply(sk_c8,sk_c7),sk_c9) equal(multiply(sk_c2,sk_c9),sk_c8)**.
% 0.37/0.54 20[0:Inp] || -> equal(multiply(sk_c6,sk_c8),sk_c7) equal(multiply(sk_c2,sk_c9),sk_c8)**.
% 0.37/0.54 21[0:Inp] || -> equal(inverse(sk_c6),sk_c8) equal(multiply(sk_c2,sk_c9),sk_c8)**.
% 0.37/0.54 22[0:Inp] || -> equal(inverse(sk_c2),sk_c9) equal(multiply(sk_c4,sk_c10),sk_c9)**.
% 0.37/0.54 23[0:Inp] || -> equal(inverse(sk_c4),sk_c10) equal(inverse(sk_c2),sk_c9)**.
% 0.37/0.54 24[0:Inp] || -> equal(inverse(sk_c2),sk_c9) equal(multiply(sk_c5,sk_c8),sk_c9)**.
% 0.37/0.54 25[0:Inp] || -> equal(inverse(sk_c5),sk_c8) equal(inverse(sk_c2),sk_c9)**.
% 0.37/0.54 26[0:Inp] || -> equal(inverse(sk_c2),sk_c9) equal(multiply(sk_c8,sk_c7),sk_c9)**.
% 0.37/0.54 27[0:Inp] || -> equal(inverse(sk_c2),sk_c9) equal(multiply(sk_c6,sk_c8),sk_c7)**.
% 0.37/0.54 28[0:Inp] || -> equal(inverse(sk_c6),sk_c8) equal(inverse(sk_c2),sk_c9)**.
% 0.37/0.54 31[0:Inp] || -> equal(inverse(sk_c3),sk_c9) equal(multiply(sk_c5,sk_c8),sk_c9)**.
% 0.37/0.54 32[0:Inp] || -> equal(inverse(sk_c5),sk_c8) equal(inverse(sk_c3),sk_c9)**.
% 0.37/0.54 33[0:Inp] || -> equal(inverse(sk_c3),sk_c9) equal(multiply(sk_c8,sk_c7),sk_c9)**.
% 0.37/0.54 34[0:Inp] || -> equal(inverse(sk_c3),sk_c9) equal(multiply(sk_c6,sk_c8),sk_c7)**.
% 0.37/0.54 35[0:Inp] || -> equal(inverse(sk_c6),sk_c8) equal(inverse(sk_c3),sk_c9)**.
% 0.37/0.54 37[0:Inp] || -> equal(inverse(sk_c4),sk_c10) equal(multiply(sk_c3,sk_c8),sk_c9)**.
% 0.37/0.54 38[0:Inp] || -> equal(multiply(sk_c5,sk_c8),sk_c9) equal(multiply(sk_c3,sk_c8),sk_c9)**.
% 0.37/0.54 39[0:Inp] || -> equal(inverse(sk_c5),sk_c8) equal(multiply(sk_c3,sk_c8),sk_c9)**.
% 0.37/0.54 40[0:Inp] || -> equal(multiply(sk_c8,sk_c7),sk_c9) equal(multiply(sk_c3,sk_c8),sk_c9)**.
% 0.37/0.54 41[0:Inp] || -> equal(multiply(sk_c6,sk_c8),sk_c7) equal(multiply(sk_c3,sk_c8),sk_c9)**.
% 0.37/0.54 42[0:Inp] || -> equal(inverse(sk_c6),sk_c8) equal(multiply(sk_c3,sk_c8),sk_c9)**.
% 0.37/0.54 43[0:Inp] || equal(multiply(u,sk_c10),sk_c9)** equal(inverse(u),sk_c10) equal(multiply(v,sk_c9),sk_c8)** equal(inverse(v),sk_c9) equal(inverse(w),sk_c9) equal(multiply(w,sk_c8),sk_c9)** equal(multiply(x,sk_c10),sk_c9)** equal(inverse(x),sk_c10) equal(multiply(y,sk_c8),sk_c9)** equal(inverse(y),sk_c8) equal(multiply(sk_c8,z),sk_c9)** equal(multiply(x1,sk_c8),z)* equal(inverse(x1),sk_c8) -> .
% 0.37/0.54 44[0:Inp] || -> equal(multiply(identity,u),u)**.
% 0.37/0.54 45[0:Inp] || -> equal(multiply(inverse(u),u),identity)**.
% 0.37/0.54 46[0:Inp] || -> equal(multiply(multiply(u,v),w),multiply(u,multiply(v,w)))**.
% 0.37/0.54 47[0:Con:43.6] || equal(inverse(u),sk_c8) equal(inverse(v),sk_c8) equal(inverse(w),sk_c9) equal(inverse(x),sk_c9) equal(inverse(y),sk_c10) equal(multiply(u,sk_c8),z)*+ equal(multiply(v,sk_c8),sk_c9)** equal(multiply(w,sk_c8),sk_c9)** equal(multiply(x,sk_c9),sk_c8)** equal(multiply(y,sk_c10),sk_c9)** equal(multiply(sk_c8,z),sk_c9)** -> .
% 0.37/0.54 48[1:Spt:47.2,47.7] || equal(inverse(u),sk_c9) equal(multiply(u,sk_c8),sk_c9)** -> .
% 0.37/0.54 49[2:Spt:35.1] || -> equal(inverse(sk_c3),sk_c9)**.
% 0.37/0.54 55[3:Spt:37.1] || -> equal(multiply(sk_c3,sk_c8),sk_c9)**.
% 0.37/0.54 57[3:SpL:55.0,48.1] || equal(inverse(sk_c3),sk_c9)** equal(sk_c9,sk_c9) -> .
% 0.37/0.54 58[3:Obv:57.1] || equal(inverse(sk_c3),sk_c9)** -> .
% 0.37/0.54 59[3:Rew:49.0,58.0] || equal(sk_c9,sk_c9)* -> .
% 0.37/0.54 60[3:Obv:59.0] || -> .
% 0.37/0.54 61[3:Spt:60.0,37.1,55.0] || equal(multiply(sk_c3,sk_c8),sk_c9)** -> .
% 0.37/0.54 62[3:Spt:60.0,37.0] || -> equal(inverse(sk_c4),sk_c10)**.
% 0.37/0.54 63[3:MRR:42.1,61.0] || -> equal(inverse(sk_c6),sk_c8)**.
% 0.37/0.54 64[3:MRR:39.1,61.0] || -> equal(inverse(sk_c5),sk_c8)**.
% 0.37/0.54 65[3:MRR:41.1,61.0] || -> equal(multiply(sk_c6,sk_c8),sk_c7)**.
% 0.37/0.54 66[3:MRR:40.1,61.0] || -> equal(multiply(sk_c8,sk_c7),sk_c9)**.
% 0.37/0.54 67[3:MRR:38.1,61.0] || -> equal(multiply(sk_c5,sk_c8),sk_c9)**.
% 0.37/0.54 77[3:SpL:67.0,48.1] || equal(inverse(sk_c5),sk_c9)** equal(sk_c9,sk_c9) -> .
% 0.37/0.54 78[3:Obv:77.1] || equal(inverse(sk_c5),sk_c9)** -> .
% 0.37/0.54 79[3:Rew:64.0,78.0] || equal(sk_c9,sk_c8)** -> .
% 0.37/0.54 82[1:SpL:44.0,48.1] || equal(inverse(identity),sk_c9)** equal(sk_c9,sk_c8) -> .
% 0.37/0.54 88[3:SpR:63.0,45.0] || -> equal(multiply(sk_c8,sk_c6),identity)**.
% 0.37/0.54 89[3:SpR:64.0,45.0] || -> equal(multiply(sk_c8,sk_c5),identity)**.
% 0.37/0.54 102[0:SpR:45.0,46.0] || -> equal(multiply(inverse(u),multiply(u,v)),multiply(identity,v))**.
% 0.37/0.54 112[0:Rew:44.0,102.0] || -> equal(multiply(inverse(u),multiply(u,v)),v)**.
% 0.37/0.54 127[0:SpR:112.0,112.0] || -> equal(multiply(inverse(inverse(u)),v),multiply(u,v))**.
% 0.37/0.54 130[3:SpR:67.0,112.0] || -> equal(multiply(inverse(sk_c5),sk_c9),sk_c8)**.
% 0.37/0.54 132[3:SpR:88.0,112.0] || -> equal(multiply(inverse(sk_c8),identity),sk_c6)**.
% 0.37/0.54 133[3:SpR:89.0,112.0] || -> equal(multiply(inverse(sk_c8),identity),sk_c5)**.
% 0.37/0.54 136[0:SpR:45.0,112.0] || -> equal(multiply(inverse(inverse(u)),identity),u)**.
% 0.37/0.54 152[3:Rew:64.0,130.0] || -> equal(multiply(sk_c8,sk_c9),sk_c8)**.
% 0.37/0.54 153[3:Rew:132.0,133.0] || -> equal(sk_c6,sk_c5)**.
% 0.37/0.54 155[3:Rew:153.0,65.0] || -> equal(multiply(sk_c5,sk_c8),sk_c7)**.
% 0.37/0.54 160[3:Rew:67.0,155.0] || -> equal(sk_c9,sk_c7)**.
% 0.37/0.54 164[3:Rew:160.0,66.0] || -> equal(multiply(sk_c8,sk_c7),sk_c7)**.
% 0.37/0.54 166[3:Rew:160.0,79.0] || equal(sk_c7,sk_c8)** -> .
% 0.37/0.54 178[3:Rew:160.0,152.0] || -> equal(multiply(sk_c8,sk_c7),sk_c8)**.
% 0.37/0.54 180[3:Rew:164.0,178.0] || -> equal(sk_c7,sk_c8)**.
% 0.37/0.54 181[3:MRR:180.0,166.0] || -> .
% 0.37/0.54 203[0:Rew:127.0,136.0] || -> equal(multiply(u,identity),u)**.
% 0.37/0.54 213[2:Spt:181.0,35.1,49.0] || equal(inverse(sk_c3),sk_c9)** -> .
% 0.37/0.54 214[2:Spt:181.0,35.0] || -> equal(inverse(sk_c6),sk_c8)**.
% 0.37/0.54 215[2:MRR:32.1,213.0] || -> equal(inverse(sk_c5),sk_c8)**.
% 0.37/0.54 217[2:MRR:34.0,213.0] || -> equal(multiply(sk_c6,sk_c8),sk_c7)**.
% 0.37/0.54 218[2:MRR:33.0,213.0] || -> equal(multiply(sk_c8,sk_c7),sk_c9)**.
% 0.37/0.54 219[2:MRR:31.0,213.0] || -> equal(multiply(sk_c5,sk_c8),sk_c9)**.
% 0.37/0.54 221[2:SpR:214.0,45.0] || -> equal(multiply(sk_c8,sk_c6),identity)**.
% 0.37/0.54 224[2:SpR:215.0,45.0] || -> equal(multiply(sk_c8,sk_c5),identity)**.
% 0.37/0.54 231[2:SpR:217.0,112.0] || -> equal(multiply(inverse(sk_c6),sk_c7),sk_c8)**.
% 0.37/0.54 233[2:Rew:214.0,231.0] || -> equal(multiply(sk_c8,sk_c7),sk_c8)**.
% 0.37/0.54 234[2:Rew:218.0,233.0] || -> equal(sk_c9,sk_c8)**.
% 0.37/0.54 236[2:Rew:234.0,82.0] || equal(inverse(identity),sk_c8)** equal(sk_c9,sk_c8) -> .
% 0.37/0.54 238[2:Rew:234.0,219.0] || -> equal(multiply(sk_c5,sk_c8),sk_c8)**.
% 0.37/0.54 243[2:Rew:234.0,236.1] || equal(inverse(identity),sk_c8)** equal(sk_c8,sk_c8) -> .
% 0.37/0.54 244[2:Obv:243.1] || equal(inverse(identity),sk_c8)** -> .
% 0.37/0.54 250[2:SpR:221.0,112.0] || -> equal(multiply(inverse(sk_c8),identity),sk_c6)**.
% 0.37/0.54 252[2:Rew:203.0,250.0] || -> equal(inverse(sk_c8),sk_c6)**.
% 0.37/0.54 257[2:SpR:252.0,45.0] || -> equal(multiply(sk_c6,sk_c8),identity)**.
% 0.37/0.54 258[2:SpR:252.0,112.0] || -> equal(multiply(sk_c6,multiply(sk_c8,u)),u)**.
% 0.37/0.54 260[2:Rew:217.0,257.0] || -> equal(identity,sk_c7)**.
% 0.37/0.54 265[2:Rew:260.0,244.0] || equal(inverse(sk_c7),sk_c8)** -> .
% 0.37/0.54 266[2:Rew:260.0,203.0] || -> equal(multiply(u,sk_c7),u)**.
% 0.37/0.54 267[2:Rew:260.0,224.0] || -> equal(multiply(sk_c8,sk_c5),sk_c7)**.
% 0.37/0.54 272[2:SpR:238.0,46.0] || -> equal(multiply(sk_c5,multiply(sk_c8,u)),multiply(sk_c8,u))**.
% 0.37/0.54 289[2:SpR:267.0,112.0] || -> equal(multiply(inverse(sk_c8),sk_c7),sk_c5)**.
% 0.37/0.54 291[2:Rew:252.0,289.0] || -> equal(multiply(sk_c6,sk_c7),sk_c5)**.
% 0.37/0.54 292[2:Rew:266.0,291.0] || -> equal(sk_c6,sk_c5)**.
% 0.37/0.54 298[2:Rew:292.0,258.0] || -> equal(multiply(sk_c5,multiply(sk_c8,u)),u)**.
% 0.37/0.54 301[2:Rew:272.0,298.0] || -> equal(multiply(sk_c8,u),u)**.
% 0.37/0.54 302[2:Rew:301.0,267.0] || -> equal(sk_c7,sk_c5)**.
% 0.37/0.54 308[2:Rew:302.0,265.0] || equal(inverse(sk_c5),sk_c8)** -> .
% 0.37/0.54 314[2:Rew:215.0,308.0] || equal(sk_c8,sk_c8)* -> .
% 0.37/0.54 315[2:Obv:314.0] || -> .
% 0.37/0.54 318[1:Spt:315.0,47.0,47.1,47.3,47.4,47.5,47.6,47.8,47.9,47.10] || equal(inverse(u),sk_c8) equal(inverse(v),sk_c8) equal(inverse(w),sk_c9) equal(inverse(x),sk_c10) equal(multiply(u,sk_c8),y)*+ equal(multiply(v,sk_c8),sk_c9)** equal(multiply(w,sk_c9),sk_c8)** equal(multiply(x,sk_c10),sk_c9)** equal(multiply(sk_c8,y),sk_c9)** -> .
% 0.37/0.54 319[1:EqR:318.4] || equal(inverse(u),sk_c8) equal(inverse(v),sk_c8) equal(inverse(w),sk_c9) equal(inverse(x),sk_c10) equal(multiply(v,sk_c8),sk_c9)** equal(multiply(w,sk_c9),sk_c8)** equal(multiply(x,sk_c10),sk_c9)** equal(multiply(sk_c8,multiply(u,sk_c8)),sk_c9)** -> .
% 0.37/0.54 321[2:Spt:14.1] || -> equal(inverse(sk_c1),sk_c10)**.
% 0.37/0.54 322[2:SpR:321.0,112.0] || -> equal(multiply(sk_c10,multiply(sk_c1,u)),u)**.
% 0.37/0.54 324[3:Spt:28.1] || -> equal(inverse(sk_c2),sk_c9)**.
% 0.37/0.54 330[4:Spt:16.1] || -> equal(multiply(sk_c2,sk_c9),sk_c8)**.
% 0.37/0.54 332[4:SpR:330.0,112.0] || -> equal(multiply(inverse(sk_c2),sk_c8),sk_c9)**.
% 0.37/0.54 334[4:Rew:324.0,332.0] || -> equal(multiply(sk_c9,sk_c8),sk_c9)**.
% 0.37/0.54 335[5:Spt:2.1] || -> equal(multiply(sk_c1,sk_c10),sk_c9)**.
% 0.37/0.54 337[5:SpR:335.0,112.0] || -> equal(multiply(inverse(sk_c1),sk_c9),sk_c10)**.
% 0.37/0.54 339[5:Rew:321.0,337.0] || -> equal(multiply(sk_c10,sk_c9),sk_c10)**.
% 0.37/0.54 341[4:SpR:334.0,112.0] || -> equal(multiply(inverse(sk_c9),sk_c9),sk_c8)**.
% 0.37/0.54 344[4:Rew:45.0,341.0] || -> equal(identity,sk_c8)**.
% 0.37/0.54 345[4:Rew:344.0,44.0] || -> equal(multiply(sk_c8,u),u)**.
% 0.37/0.54 346[4:Rew:344.0,203.0] || -> equal(multiply(u,sk_c8),u)**.
% 0.37/0.54 347[4:Rew:344.0,45.0] || -> equal(multiply(inverse(u),u),sk_c8)**.
% 0.37/0.54 352[4:Rew:345.0,319.7] || equal(inverse(u),sk_c8) equal(inverse(v),sk_c8) equal(inverse(w),sk_c9) equal(inverse(x),sk_c10) equal(multiply(v,sk_c8),sk_c9)** equal(multiply(w,sk_c9),sk_c8)** equal(multiply(x,sk_c10),sk_c9)** equal(multiply(u,sk_c8),sk_c9)** -> .
% 0.37/0.54 368[4:Con:352.0] || equal(inverse(u),sk_c8) equal(inverse(v),sk_c9) equal(inverse(w),sk_c10) equal(multiply(u,sk_c8),sk_c9)** equal(multiply(v,sk_c9),sk_c8)** equal(multiply(w,sk_c10),sk_c9)** -> .
% 0.37/0.54 369[4:Rew:346.0,368.3] || equal(inverse(u),sk_c8)** equal(inverse(v),sk_c9) equal(inverse(w),sk_c10) equal(u,sk_c9) equal(multiply(v,sk_c9),sk_c8)** equal(multiply(w,sk_c10),sk_c9)** -> .
% 0.37/0.54 377[5:SpR:339.0,112.0] || -> equal(multiply(inverse(sk_c10),sk_c10),sk_c9)**.
% 0.37/0.54 379[5:Rew:347.0,377.0] || -> equal(sk_c9,sk_c8)**.
% 0.37/0.54 380[5:Rew:379.0,324.0] || -> equal(inverse(sk_c2),sk_c8)**.
% 0.37/0.54 382[5:Rew:379.0,330.0] || -> equal(multiply(sk_c2,sk_c8),sk_c8)**.
% 0.37/0.54 383[5:Rew:379.0,335.0] || -> equal(multiply(sk_c1,sk_c10),sk_c8)**.
% 0.37/0.54 395[5:Rew:379.0,369.1] || equal(inverse(u),sk_c8)** equal(inverse(v),sk_c8) equal(inverse(w),sk_c10) equal(u,sk_c9) equal(multiply(v,sk_c9),sk_c8)** equal(multiply(w,sk_c10),sk_c9)** -> .
% 0.37/0.54 396[5:Rew:346.0,382.0] || -> equal(sk_c2,sk_c8)**.
% 0.37/0.54 397[5:Rew:396.0,380.0] || -> equal(inverse(sk_c8),sk_c8)**.
% 0.37/0.54 407[5:Rew:379.0,395.5,346.0,395.4,379.0,395.4,379.0,395.3] || equal(inverse(u),sk_c8)** equal(inverse(v),sk_c8)** equal(inverse(w),sk_c10) equal(u,sk_c8) equal(v,sk_c8) equal(multiply(w,sk_c10),sk_c8)** -> .
% 0.37/0.54 408[5:Con:407.1] || equal(inverse(u),sk_c8)** equal(inverse(v),sk_c10) equal(u,sk_c8) equal(multiply(v,sk_c10),sk_c8)**+ -> .
% 0.37/0.54 438[4:SpR:347.0,112.0] || -> equal(multiply(inverse(inverse(u)),sk_c8),u)**.
% 0.37/0.54 441[4:SpR:321.0,347.0] || -> equal(multiply(sk_c10,sk_c1),sk_c8)**.
% 0.37/0.54 443[4:Rew:346.0,438.0] || -> equal(inverse(inverse(u)),u)**.
% 0.37/0.54 447[4:SpR:441.0,112.0] || -> equal(multiply(inverse(sk_c10),sk_c8),sk_c1)**.
% 0.37/0.54 449[4:Rew:346.0,447.0] || -> equal(inverse(sk_c10),sk_c1)**.
% 0.37/0.54 458[4:SpR:449.0,347.0] || -> equal(multiply(sk_c1,sk_c10),sk_c8)**.
% 0.37/0.54 472[2:SpR:322.0,112.0] || -> equal(multiply(inverse(sk_c10),u),multiply(sk_c1,u))**.
% 0.37/0.54 657[5:SpL:383.0,408.3] || equal(inverse(u),sk_c8)** equal(inverse(sk_c1),sk_c10)** equal(u,sk_c8) equal(sk_c8,sk_c8) -> .
% 0.37/0.54 660[5:Obv:657.3] || equal(inverse(u),sk_c8)** equal(inverse(sk_c1),sk_c10)** equal(u,sk_c8) -> .
% 0.37/0.54 661[5:Rew:321.0,660.1] || equal(inverse(u),sk_c8)** equal(sk_c10,sk_c10) equal(u,sk_c8) -> .
% 0.37/0.54 662[5:Obv:661.1] || equal(inverse(u),sk_c8)** equal(u,sk_c8) -> .
% 0.37/0.54 737[5:SpL:397.0,662.0] || equal(sk_c8,sk_c8)* equal(sk_c8,sk_c8)* -> .
% 0.37/0.54 742[5:Obv:737.1] || -> .
% 0.37/0.54 743[5:Spt:742.0,2.1,335.0] || equal(multiply(sk_c1,sk_c10),sk_c9)** -> .
% 0.37/0.54 744[5:Spt:742.0,2.0] || -> equal(inverse(sk_c4),sk_c10)**.
% 0.37/0.54 750[5:Rew:458.0,743.0] || equal(sk_c9,sk_c8)** -> .
% 0.37/0.54 774[4:Rew:345.0,5.0] || -> equal(sk_c9,sk_c7) equal(multiply(sk_c1,sk_c10),sk_c9)**.
% 0.37/0.54 775[4:Rew:458.0,774.1] || -> equal(sk_c9,sk_c7)** equal(sk_c9,sk_c8).
% 0.37/0.54 776[5:MRR:775.1,750.0] || -> equal(sk_c9,sk_c7)**.
% 0.37/0.54 783[5:Rew:776.0,750.0] || equal(sk_c7,sk_c8)** -> .
% 0.37/0.54 788[4:Rew:346.0,3.0] || -> equal(sk_c9,sk_c5) equal(multiply(sk_c1,sk_c10),sk_c9)**.
% 0.37/0.54 789[5:Rew:458.0,788.1,776.0,788.1,776.0,788.0] || -> equal(sk_c7,sk_c5) equal(sk_c7,sk_c8)**.
% 0.37/0.54 790[5:MRR:789.1,783.0] || -> equal(sk_c7,sk_c5)**.
% 0.37/0.54 793[5:Rew:790.0,776.0] || -> equal(sk_c9,sk_c5)**.
% 0.37/0.54 796[5:Rew:790.0,783.0] || equal(sk_c8,sk_c5)** -> .
% 0.37/0.54 802[5:Rew:458.0,1.1,793.0,1.1,793.0,1.0] || -> equal(multiply(sk_c4,sk_c10),sk_c5)** equal(sk_c8,sk_c5).
% 0.37/0.54 803[5:MRR:802.1,796.0] || -> equal(multiply(sk_c4,sk_c10),sk_c5)**.
% 0.37/0.54 813[5:SpR:744.0,443.0] || -> equal(inverse(sk_c10),sk_c4)**.
% 0.37/0.54 818[5:Rew:449.0,813.0] || -> equal(sk_c4,sk_c1)**.
% 0.37/0.54 820[5:Rew:818.0,803.0] || -> equal(multiply(sk_c1,sk_c10),sk_c5)**.
% 0.37/0.54 823[5:Rew:458.0,820.0] || -> equal(sk_c8,sk_c5)**.
% 0.37/0.54 824[5:MRR:823.0,796.0] || -> .
% 0.37/0.54 828[4:Spt:824.0,16.1,330.0] || equal(multiply(sk_c2,sk_c9),sk_c8)** -> .
% 0.37/0.54 829[4:Spt:824.0,16.0] || -> equal(inverse(sk_c4),sk_c10)**.
% 0.37/0.54 830[4:MRR:21.1,828.0] || -> equal(inverse(sk_c6),sk_c8)**.
% 0.37/0.54 831[4:MRR:18.1,828.0] || -> equal(inverse(sk_c5),sk_c8)**.
% 0.37/0.54 833[4:MRR:20.1,828.0] || -> equal(multiply(sk_c6,sk_c8),sk_c7)**.
% 0.37/0.54 834[4:MRR:19.1,828.0] || -> equal(multiply(sk_c8,sk_c7),sk_c9)**.
% 0.37/0.54 835[4:MRR:17.1,828.0] || -> equal(multiply(sk_c5,sk_c8),sk_c9)**.
% 0.37/0.54 849[4:SpR:833.0,112.0] || -> equal(multiply(inverse(sk_c6),sk_c7),sk_c8)**.
% 0.37/0.54 851[4:Rew:830.0,849.0] || -> equal(multiply(sk_c8,sk_c7),sk_c8)**.
% 0.37/0.54 852[4:Rew:834.0,851.0] || -> equal(sk_c9,sk_c8)**.
% 0.37/0.54 853[4:Rew:852.0,324.0] || -> equal(inverse(sk_c2),sk_c8)**.
% 0.37/0.54 855[4:Rew:852.0,828.0] || equal(multiply(sk_c2,sk_c8),sk_c8)** -> .
% 0.37/0.54 858[4:Rew:852.0,834.0] || -> equal(multiply(sk_c8,sk_c7),sk_c8)**.
% 0.37/0.54 859[4:Rew:852.0,835.0] || -> equal(multiply(sk_c5,sk_c8),sk_c8)**.
% 0.37/0.54 871[4:SpR:858.0,112.0] || -> equal(multiply(inverse(sk_c8),sk_c8),sk_c7)**.
% 0.37/0.54 873[4:Rew:45.0,871.0] || -> equal(identity,sk_c7)**.
% 0.37/0.54 874[4:Rew:873.0,203.0] || -> equal(multiply(u,sk_c7),u)**.
% 0.37/0.54 875[4:Rew:873.0,44.0] || -> equal(multiply(sk_c7,u),u)**.
% 0.37/0.54 877[4:Rew:873.0,45.0] || -> equal(multiply(inverse(u),u),sk_c7)**.
% 0.37/0.54 887[4:SpR:859.0,112.0] || -> equal(multiply(inverse(sk_c5),sk_c8),sk_c8)**.
% 0.37/0.54 889[4:Rew:831.0,887.0] || -> equal(multiply(sk_c8,sk_c8),sk_c8)**.
% 0.37/0.54 895[4:SpR:889.0,112.0] || -> equal(multiply(inverse(sk_c8),sk_c8),sk_c8)**.
% 0.37/0.54 897[4:Rew:877.0,895.0] || -> equal(sk_c7,sk_c8)**.
% 0.37/0.54 900[4:Rew:897.0,874.0] || -> equal(multiply(u,sk_c8),u)**.
% 0.37/0.54 901[4:Rew:897.0,875.0] || -> equal(multiply(sk_c8,u),u)**.
% 0.37/0.54 903[4:Rew:897.0,877.0] || -> equal(multiply(inverse(u),u),sk_c8)**.
% 0.37/0.54 904[4:Rew:900.0,859.0] || -> equal(sk_c8,sk_c5)**.
% 0.37/0.54 909[4:Rew:900.0,855.0] || equal(sk_c2,sk_c8)** -> .
% 0.37/0.54 913[4:Rew:904.0,853.0] || -> equal(inverse(sk_c2),sk_c5)**.
% 0.37/0.54 927[4:Rew:904.0,909.0] || equal(sk_c2,sk_c5)** -> .
% 0.37/0.54 929[4:Rew:904.0,901.0] || -> equal(multiply(sk_c5,u),u)**.
% 0.37/0.54 931[4:Rew:904.0,903.0] || -> equal(multiply(inverse(u),u),sk_c5)**.
% 0.37/0.54 983[4:SpR:913.0,931.0] || -> equal(multiply(sk_c5,sk_c2),sk_c5)**.
% 0.37/0.54 985[4:Rew:929.0,983.0] || -> equal(sk_c2,sk_c5)**.
% 0.37/0.54 986[4:MRR:985.0,927.0] || -> .
% 0.37/0.54 993[3:Spt:986.0,28.1,324.0] || equal(inverse(sk_c2),sk_c9)** -> .
% 0.37/0.54 994[3:Spt:986.0,28.0] || -> equal(inverse(sk_c6),sk_c8)**.
% 0.37/0.54 995[3:MRR:25.1,993.0] || -> equal(inverse(sk_c5),sk_c8)**.
% 0.37/0.54 996[3:MRR:23.1,993.0] || -> equal(inverse(sk_c4),sk_c10)**.
% 0.37/0.54 997[3:MRR:27.0,993.0] || -> equal(multiply(sk_c6,sk_c8),sk_c7)**.
% 0.37/0.54 998[3:MRR:26.0,993.0] || -> equal(multiply(sk_c8,sk_c7),sk_c9)**.
% 0.37/0.54 999[3:MRR:24.0,993.0] || -> equal(multiply(sk_c5,sk_c8),sk_c9)**.
% 0.37/0.54 1000[3:MRR:22.0,993.0] || -> equal(multiply(sk_c4,sk_c10),sk_c9)**.
% 0.37/0.54 1008[3:SpR:997.0,112.0] || -> equal(multiply(inverse(sk_c6),sk_c7),sk_c8)**.
% 0.37/0.54 1010[3:Rew:994.0,1008.0] || -> equal(multiply(sk_c8,sk_c7),sk_c8)**.
% 0.37/0.54 1011[3:Rew:998.0,1010.0] || -> equal(sk_c9,sk_c8)**.
% 0.37/0.54 1013[3:Rew:1011.0,998.0] || -> equal(multiply(sk_c8,sk_c7),sk_c8)**.
% 0.37/0.54 1014[3:Rew:1011.0,999.0] || -> equal(multiply(sk_c5,sk_c8),sk_c8)**.
% 0.37/0.54 1015[3:Rew:1011.0,1000.0] || -> equal(multiply(sk_c4,sk_c10),sk_c8)**.
% 0.37/0.54 1017[3:Rew:1011.0,319.2] || equal(inverse(u),sk_c8) equal(inverse(v),sk_c8) equal(inverse(w),sk_c8) equal(inverse(x),sk_c10) equal(multiply(v,sk_c8),sk_c9)** equal(multiply(w,sk_c9),sk_c8)** equal(multiply(x,sk_c10),sk_c9)** equal(multiply(sk_c8,multiply(u,sk_c8)),sk_c9)** -> .
% 0.37/0.54 1019[3:Rew:1011.0,1017.7,1011.0,1017.6,1011.0,1017.5,1011.0,1017.4] || equal(inverse(u),sk_c8) equal(inverse(v),sk_c8) equal(inverse(w),sk_c8) equal(inverse(x),sk_c10) equal(multiply(v,sk_c8),sk_c8)** equal(multiply(w,sk_c8),sk_c8)** equal(multiply(x,sk_c10),sk_c8)** equal(multiply(sk_c8,multiply(u,sk_c8)),sk_c8)** -> .
% 0.37/0.54 1020[3:Con:1019.2] || equal(inverse(u),sk_c8) equal(inverse(v),sk_c8) equal(inverse(w),sk_c10) equal(multiply(v,sk_c8),sk_c8)** equal(multiply(w,sk_c10),sk_c8)** equal(multiply(sk_c8,multiply(u,sk_c8)),sk_c8)** -> .
% 0.37/0.54 1027[3:SpR:1013.0,112.0] || -> equal(multiply(inverse(sk_c8),sk_c8),sk_c7)**.
% 0.37/0.54 1029[3:Rew:45.0,1027.0] || -> equal(identity,sk_c7)**.
% 0.37/0.54 1030[3:Rew:1029.0,44.0] || -> equal(multiply(sk_c7,u),u)**.
% 0.37/0.54 1031[3:Rew:1029.0,203.0] || -> equal(multiply(u,sk_c7),u)**.
% 0.37/0.54 1032[3:Rew:1029.0,45.0] || -> equal(multiply(inverse(u),u),sk_c7)**.
% 0.37/0.54 1038[3:SpR:1014.0,112.0] || -> equal(multiply(inverse(sk_c5),sk_c8),sk_c8)**.
% 0.37/0.54 1040[3:Rew:995.0,1038.0] || -> equal(multiply(sk_c8,sk_c8),sk_c8)**.
% 0.37/0.54 1046[3:SpR:1040.0,112.0] || -> equal(multiply(inverse(sk_c8),sk_c8),sk_c8)**.
% 0.37/0.54 1048[3:Rew:1032.0,1046.0] || -> equal(sk_c7,sk_c8)**.
% 0.37/0.54 1049[3:Rew:1048.0,997.0] || -> equal(multiply(sk_c6,sk_c8),sk_c8)**.
% 0.37/0.54 1051[3:Rew:1048.0,1030.0] || -> equal(multiply(sk_c8,u),u)**.
% 0.37/0.54 1052[3:Rew:1048.0,1031.0] || -> equal(multiply(u,sk_c8),u)**.
% 0.37/0.54 1053[3:Rew:1048.0,1032.0] || -> equal(multiply(inverse(u),u),sk_c8)**.
% 0.37/0.54 1060[3:Rew:1051.0,1020.5] || equal(inverse(u),sk_c8) equal(inverse(v),sk_c8) equal(inverse(w),sk_c10) equal(multiply(v,sk_c8),sk_c8)** equal(multiply(w,sk_c10),sk_c8)** equal(multiply(u,sk_c8),sk_c8)** -> .
% 0.37/0.54 1063[3:Rew:1052.0,1014.0] || -> equal(sk_c8,sk_c5)**.
% 0.37/0.54 1064[3:Rew:1052.0,1049.0] || -> equal(sk_c6,sk_c8)**.
% 0.37/0.54 1065[3:Rew:1063.0,994.0] || -> equal(inverse(sk_c6),sk_c5)**.
% 0.37/0.54 1069[3:Rew:1063.0,1015.0] || -> equal(multiply(sk_c4,sk_c10),sk_c5)**.
% 0.37/0.54 1073[3:Rew:1063.0,1052.0] || -> equal(multiply(u,sk_c5),u)**.
% 0.37/0.54 1074[3:Rew:1063.0,1064.0] || -> equal(sk_c6,sk_c5)**.
% 0.37/0.54 1075[3:Rew:1074.0,1065.0] || -> equal(inverse(sk_c5),sk_c5)**.
% 0.37/0.54 1078[3:Rew:1063.0,1053.0] || -> equal(multiply(inverse(u),u),sk_c5)**.
% 0.37/0.54 1081[3:Con:1060.0] || equal(inverse(u),sk_c8) equal(inverse(v),sk_c10) equal(multiply(u,sk_c8),sk_c8)** equal(multiply(v,sk_c10),sk_c8)** -> .
% 0.37/0.54 1082[3:Rew:1063.0,1081.3,1073.0,1081.2,1063.0,1081.2,1063.0,1081.0] || equal(inverse(u),sk_c5)** equal(inverse(v),sk_c10) equal(u,sk_c5) equal(multiply(v,sk_c10),sk_c5)**+ -> .
% 0.37/0.54 1102[3:SpR:996.0,1078.0] || -> equal(multiply(sk_c10,sk_c4),sk_c5)**.
% 0.37/0.54 1114[3:SpR:1102.0,112.0] || -> equal(multiply(inverse(sk_c10),sk_c5),sk_c4)**.
% 0.37/0.54 1116[3:Rew:1073.0,1114.0,472.0,1114.0] || -> equal(sk_c4,sk_c1)**.
% 0.37/0.54 1118[3:Rew:1116.0,1069.0] || -> equal(multiply(sk_c1,sk_c10),sk_c5)**.
% 0.37/0.54 1169[0:SpR:127.0,112.0] || -> equal(multiply(u,multiply(inverse(u),v)),v)**.
% 0.37/0.54 1453[3:SpL:1118.0,1082.3] || equal(inverse(u),sk_c5)** equal(inverse(sk_c1),sk_c10)** equal(u,sk_c5) equal(sk_c5,sk_c5) -> .
% 0.37/0.54 1456[3:Obv:1453.3] || equal(inverse(u),sk_c5)** equal(inverse(sk_c1),sk_c10)** equal(u,sk_c5) -> .
% 0.37/0.54 1457[3:Rew:321.0,1456.1] || equal(inverse(u),sk_c5)** equal(sk_c10,sk_c10) equal(u,sk_c5) -> .
% 0.37/0.54 1458[3:Obv:1457.1] || equal(inverse(u),sk_c5)** equal(u,sk_c5) -> .
% 0.37/0.54 1515[3:SpL:1075.0,1458.0] || equal(sk_c5,sk_c5)* equal(sk_c5,sk_c5)* -> .
% 0.37/0.54 1520[3:Obv:1515.1] || -> .
% 0.37/0.54 1521[2:Spt:1520.0,14.1,321.0] || equal(inverse(sk_c1),sk_c10)** -> .
% 0.37/0.54 1522[2:Spt:1520.0,14.0] || -> equal(inverse(sk_c6),sk_c8)**.
% 0.37/0.54 1523[2:MRR:11.1,1521.0] || -> equal(inverse(sk_c5),sk_c8)**.
% 0.37/0.54 1524[2:MRR:9.1,1521.0] || -> equal(inverse(sk_c4),sk_c10)**.
% 0.37/0.54 1526[2:MRR:13.0,1521.0] || -> equal(multiply(sk_c6,sk_c8),sk_c7)**.
% 0.37/0.54 1527[2:MRR:12.0,1521.0] || -> equal(multiply(sk_c8,sk_c7),sk_c9)**.
% 0.37/0.54 1528[2:MRR:10.0,1521.0] || -> equal(multiply(sk_c5,sk_c8),sk_c9)**.
% 0.37/0.54 1529[2:MRR:8.0,1521.0] || -> equal(multiply(sk_c4,sk_c10),sk_c9)**.
% 0.37/0.54 1537[2:SpR:1522.0,1169.0] || -> equal(multiply(sk_c6,multiply(sk_c8,u)),u)**.
% 0.37/0.54 1540[2:SpR:1523.0,1169.0] || -> equal(multiply(sk_c5,multiply(sk_c8,u)),u)**.
% 0.37/0.54 1546[2:SpR:1526.0,112.0] || -> equal(multiply(inverse(sk_c6),sk_c7),sk_c8)**.
% 0.37/0.54 1548[2:Rew:1522.0,1546.0] || -> equal(multiply(sk_c8,sk_c7),sk_c8)**.
% 0.37/0.54 1549[2:Rew:1527.0,1548.0] || -> equal(sk_c9,sk_c8)**.
% 0.37/0.54 1550[2:Rew:1549.0,1527.0] || -> equal(multiply(sk_c8,sk_c7),sk_c8)**.
% 0.37/0.54 1551[2:Rew:1549.0,1528.0] || -> equal(multiply(sk_c5,sk_c8),sk_c8)**.
% 0.37/0.54 1552[2:Rew:1549.0,1529.0] || -> equal(multiply(sk_c4,sk_c10),sk_c8)**.
% 0.37/0.54 1554[2:Rew:1549.0,319.2] || equal(inverse(u),sk_c8) equal(inverse(v),sk_c8) equal(inverse(w),sk_c8) equal(inverse(x),sk_c10) equal(multiply(v,sk_c8),sk_c9)** equal(multiply(w,sk_c9),sk_c8)** equal(multiply(x,sk_c10),sk_c9)** equal(multiply(sk_c8,multiply(u,sk_c8)),sk_c9)** -> .
% 0.37/0.54 1557[2:Rew:1549.0,1554.7,1549.0,1554.6,1549.0,1554.5,1549.0,1554.4] || equal(inverse(u),sk_c8) equal(inverse(v),sk_c8) equal(inverse(w),sk_c8) equal(inverse(x),sk_c10) equal(multiply(v,sk_c8),sk_c8)** equal(multiply(w,sk_c8),sk_c8)** equal(multiply(x,sk_c10),sk_c8)** equal(multiply(sk_c8,multiply(u,sk_c8)),sk_c8)** -> .
% 0.37/0.54 1558[2:Con:1557.2] || equal(inverse(u),sk_c8) equal(inverse(v),sk_c8) equal(inverse(w),sk_c10) equal(multiply(v,sk_c8),sk_c8)** equal(multiply(w,sk_c10),sk_c8)** equal(multiply(sk_c8,multiply(u,sk_c8)),sk_c8)** -> .
% 0.37/0.54 1565[2:SpR:1550.0,112.0] || -> equal(multiply(inverse(sk_c8),sk_c8),sk_c7)**.
% 0.37/0.54 1567[2:Rew:45.0,1565.0] || -> equal(identity,sk_c7)**.
% 0.37/0.54 1568[2:Rew:1567.0,203.0] || -> equal(multiply(u,sk_c7),u)**.
% 0.37/0.54 1571[2:Rew:1567.0,45.0] || -> equal(multiply(inverse(u),u),sk_c7)**.
% 0.37/0.54 1573[2:SpR:1551.0,46.0] || -> equal(multiply(sk_c5,multiply(sk_c8,u)),multiply(sk_c8,u))**.
% 0.37/0.54 1577[2:Rew:1540.0,1573.0] || -> equal(multiply(sk_c8,u),u)**.
% 0.37/0.54 1580[2:Rew:1577.0,1537.0] || -> equal(multiply(sk_c6,u),u)**.
% 0.37/0.54 1582[2:Rew:1577.0,1558.5] || equal(inverse(u),sk_c8) equal(inverse(v),sk_c8) equal(inverse(w),sk_c10) equal(multiply(v,sk_c8),sk_c8)** equal(multiply(w,sk_c10),sk_c8)** equal(multiply(u,sk_c8),sk_c8)** -> .
% 0.37/0.54 1585[2:Rew:1580.0,1526.0] || -> equal(sk_c7,sk_c8)**.
% 0.37/0.54 1588[2:Rew:1585.0,1568.0] || -> equal(multiply(u,sk_c8),u)**.
% 0.37/0.54 1590[2:Rew:1585.0,1571.0] || -> equal(multiply(inverse(u),u),sk_c8)**.
% 0.37/0.54 1591[2:Con:1582.0] || equal(inverse(u),sk_c8) equal(inverse(v),sk_c10) equal(multiply(u,sk_c8),sk_c8)** equal(multiply(v,sk_c10),sk_c8)** -> .
% 0.37/0.54 1592[2:Rew:1588.0,1591.2] || equal(inverse(u),sk_c8)** equal(inverse(v),sk_c10) equal(u,sk_c8) equal(multiply(v,sk_c10),sk_c8)** -> .
% 0.37/0.54 1611[2:SpR:1523.0,1590.0] || -> equal(multiply(sk_c8,sk_c5),sk_c8)**.
% 0.37/0.54 1617[2:Rew:1577.0,1611.0] || -> equal(sk_c8,sk_c5)**.
% 0.37/0.54 1618[2:Rew:1617.0,1523.0] || -> equal(inverse(sk_c5),sk_c5)**.
% 0.37/0.54 1622[2:Rew:1617.0,1552.0] || -> equal(multiply(sk_c4,sk_c10),sk_c5)**.
% 0.37/0.54 1626[2:Rew:1617.0,1592.0] || equal(inverse(u),sk_c5)** equal(inverse(v),sk_c10) equal(u,sk_c8) equal(multiply(v,sk_c10),sk_c8)** -> .
% 0.37/0.54 1635[2:Rew:1617.0,1626.3,1617.0,1626.2] || equal(inverse(u),sk_c5)** equal(inverse(v),sk_c10) equal(u,sk_c5) equal(multiply(v,sk_c10),sk_c5)**+ -> .
% 0.37/0.55 1840[2:SpL:1622.0,1635.3] || equal(inverse(u),sk_c5)** equal(inverse(sk_c4),sk_c10)** equal(u,sk_c5) equal(sk_c5,sk_c5) -> .
% 0.37/0.55 1842[2:Obv:1840.3] || equal(inverse(u),sk_c5)** equal(inverse(sk_c4),sk_c10)** equal(u,sk_c5) -> .
% 0.37/0.55 1843[2:Rew:1524.0,1842.1] || equal(inverse(u),sk_c5)** equal(sk_c10,sk_c10) equal(u,sk_c5) -> .
% 0.37/0.55 1844[2:Obv:1843.1] || equal(inverse(u),sk_c5)** equal(u,sk_c5) -> .
% 0.37/0.55 1929[2:SpL:1618.0,1844.0] || equal(sk_c5,sk_c5)* equal(sk_c5,sk_c5)* -> .
% 0.37/0.55 1934[2:Obv:1929.1] || -> .
% 0.37/0.55 % SZS output end Refutation
% 0.37/0.55 Formulae used in the proof : prove_this_1 prove_this_2 prove_this_3 prove_this_5 prove_this_8 prove_this_9 prove_this_10 prove_this_11 prove_this_12 prove_this_13 prove_this_14 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_31 prove_this_32 prove_this_33 prove_this_34 prove_this_35 prove_this_37 prove_this_38 prove_this_39 prove_this_40 prove_this_41 prove_this_42 prove_this_43 left_identity left_inverse associativity
% 0.37/0.55
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