TSTP Solution File: GRP307-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GRP307-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n032.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 11:46:47 EDT 2022
% Result : Unsatisfiable 0.44s 0.64s
% Output : Refutation 0.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : GRP307-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.11 % Command : run_spass %d %s
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 600
% 0.10/0.30 % DateTime : Tue Jun 14 08:27:42 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.44/0.64
% 0.44/0.64 SPASS V 3.9
% 0.44/0.64 SPASS beiseite: Proof found.
% 0.44/0.64 % SZS status Theorem
% 0.44/0.64 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.44/0.64 SPASS derived 2824 clauses, backtracked 864 clauses, performed 14 splits and kept 1680 clauses.
% 0.44/0.64 SPASS allocated 65424 KBytes.
% 0.44/0.64 SPASS spent 0:00:00.33 on the problem.
% 0.44/0.64 0:00:00.03 for the input.
% 0.44/0.64 0:00:00.00 for the FLOTTER CNF translation.
% 0.44/0.64 0:00:00.02 for inferences.
% 0.44/0.64 0:00:00.01 for the backtracking.
% 0.44/0.64 0:00:00.25 for the reduction.
% 0.44/0.64
% 0.44/0.64
% 0.44/0.64 Here is a proof with depth 6, length 516 :
% 0.44/0.64 % SZS output start Refutation
% 0.44/0.64 1[0:Inp] || -> equal(multiply(sk_c3,sk_c11),sk_c10)** equal(multiply(sk_c11,sk_c10),sk_c9).
% 0.44/0.64 2[0:Inp] || -> equal(inverse(sk_c3),sk_c11) equal(multiply(sk_c11,sk_c10),sk_c9)**.
% 0.44/0.64 3[0:Inp] || -> equal(multiply(sk_c4,sk_c10),sk_c9)** equal(multiply(sk_c11,sk_c10),sk_c9).
% 0.44/0.64 4[0:Inp] || -> equal(inverse(sk_c4),sk_c10) equal(multiply(sk_c11,sk_c10),sk_c9)**.
% 0.44/0.64 5[0:Inp] || -> equal(multiply(sk_c5,sk_c8),sk_c11)** equal(multiply(sk_c11,sk_c10),sk_c9).
% 0.44/0.64 6[0:Inp] || -> equal(inverse(sk_c5),sk_c8) equal(multiply(sk_c11,sk_c10),sk_c9)**.
% 0.44/0.64 7[0:Inp] || -> equal(multiply(sk_c8,sk_c10),sk_c11)** equal(multiply(sk_c11,sk_c10),sk_c9).
% 0.44/0.64 8[0:Inp] || -> equal(inverse(sk_c7),sk_c6) equal(multiply(sk_c11,sk_c10),sk_c9)**.
% 0.44/0.64 9[0:Inp] || -> equal(inverse(sk_c6),sk_c8) equal(multiply(sk_c11,sk_c10),sk_c9)**.
% 0.44/0.64 10[0:Inp] || -> equal(multiply(sk_c7,sk_c8),sk_c6)** equal(multiply(sk_c11,sk_c10),sk_c9).
% 0.44/0.64 11[0:Inp] || -> equal(inverse(sk_c11),sk_c9) equal(multiply(sk_c3,sk_c11),sk_c10)**.
% 0.44/0.64 12[0:Inp] || -> equal(inverse(sk_c3),sk_c11)** equal(inverse(sk_c11),sk_c9).
% 0.44/0.64 13[0:Inp] || -> equal(inverse(sk_c11),sk_c9) equal(multiply(sk_c4,sk_c10),sk_c9)**.
% 0.44/0.64 14[0:Inp] || -> equal(inverse(sk_c4),sk_c10)** equal(inverse(sk_c11),sk_c9).
% 0.44/0.64 15[0:Inp] || -> equal(inverse(sk_c11),sk_c9) equal(multiply(sk_c5,sk_c8),sk_c11)**.
% 0.44/0.64 16[0:Inp] || -> equal(inverse(sk_c5),sk_c8)** equal(inverse(sk_c11),sk_c9).
% 0.44/0.64 17[0:Inp] || -> equal(inverse(sk_c11),sk_c9) equal(multiply(sk_c8,sk_c10),sk_c11)**.
% 0.44/0.64 18[0:Inp] || -> equal(inverse(sk_c7),sk_c6)** equal(inverse(sk_c11),sk_c9).
% 0.44/0.64 19[0:Inp] || -> equal(inverse(sk_c6),sk_c8)** equal(inverse(sk_c11),sk_c9).
% 0.44/0.64 20[0:Inp] || -> equal(inverse(sk_c11),sk_c9) equal(multiply(sk_c7,sk_c8),sk_c6)**.
% 0.44/0.64 21[0:Inp] || -> equal(multiply(sk_c3,sk_c11),sk_c10)** equal(multiply(sk_c9,sk_c10),sk_c11).
% 0.44/0.64 22[0:Inp] || -> equal(inverse(sk_c3),sk_c11) equal(multiply(sk_c9,sk_c10),sk_c11)**.
% 0.44/0.64 25[0:Inp] || -> equal(multiply(sk_c5,sk_c8),sk_c11)** equal(multiply(sk_c9,sk_c10),sk_c11).
% 0.44/0.64 26[0:Inp] || -> equal(inverse(sk_c5),sk_c8) equal(multiply(sk_c9,sk_c10),sk_c11)**.
% 0.44/0.64 28[0:Inp] || -> equal(inverse(sk_c7),sk_c6) equal(multiply(sk_c9,sk_c10),sk_c11)**.
% 0.44/0.64 29[0:Inp] || -> equal(inverse(sk_c6),sk_c8) equal(multiply(sk_c9,sk_c10),sk_c11)**.
% 0.44/0.64 31[0:Inp] || -> equal(multiply(sk_c3,sk_c11),sk_c10)** equal(multiply(sk_c11,sk_c2),sk_c10).
% 0.44/0.64 32[0:Inp] || -> equal(inverse(sk_c3),sk_c11) equal(multiply(sk_c11,sk_c2),sk_c10)**.
% 0.44/0.64 33[0:Inp] || -> equal(multiply(sk_c4,sk_c10),sk_c9)** equal(multiply(sk_c11,sk_c2),sk_c10).
% 0.44/0.64 34[0:Inp] || -> equal(inverse(sk_c4),sk_c10) equal(multiply(sk_c11,sk_c2),sk_c10)**.
% 0.44/0.64 35[0:Inp] || -> equal(multiply(sk_c5,sk_c8),sk_c11)** equal(multiply(sk_c11,sk_c2),sk_c10).
% 0.44/0.64 36[0:Inp] || -> equal(inverse(sk_c5),sk_c8) equal(multiply(sk_c11,sk_c2),sk_c10)**.
% 0.44/0.64 39[0:Inp] || -> equal(inverse(sk_c6),sk_c8) equal(multiply(sk_c11,sk_c2),sk_c10)**.
% 0.44/0.64 41[0:Inp] || -> equal(multiply(sk_c3,sk_c11),sk_c10) equal(multiply(sk_c1,sk_c11),sk_c2)**.
% 0.44/0.64 42[0:Inp] || -> equal(inverse(sk_c3),sk_c11) equal(multiply(sk_c1,sk_c11),sk_c2)**.
% 0.44/0.64 43[0:Inp] || -> equal(multiply(sk_c4,sk_c10),sk_c9) equal(multiply(sk_c1,sk_c11),sk_c2)**.
% 0.44/0.64 44[0:Inp] || -> equal(inverse(sk_c4),sk_c10) equal(multiply(sk_c1,sk_c11),sk_c2)**.
% 0.44/0.64 45[0:Inp] || -> equal(multiply(sk_c5,sk_c8),sk_c11) equal(multiply(sk_c1,sk_c11),sk_c2)**.
% 0.44/0.64 46[0:Inp] || -> equal(inverse(sk_c5),sk_c8) equal(multiply(sk_c1,sk_c11),sk_c2)**.
% 0.44/0.64 47[0:Inp] || -> equal(multiply(sk_c8,sk_c10),sk_c11) equal(multiply(sk_c1,sk_c11),sk_c2)**.
% 0.44/0.64 49[0:Inp] || -> equal(inverse(sk_c6),sk_c8) equal(multiply(sk_c1,sk_c11),sk_c2)**.
% 0.44/0.64 51[0:Inp] || -> equal(inverse(sk_c1),sk_c11) equal(multiply(sk_c3,sk_c11),sk_c10)**.
% 0.44/0.64 52[0:Inp] || -> equal(inverse(sk_c3),sk_c11) equal(inverse(sk_c1),sk_c11)**.
% 0.44/0.64 53[0:Inp] || -> equal(inverse(sk_c1),sk_c11) equal(multiply(sk_c4,sk_c10),sk_c9)**.
% 0.44/0.64 54[0:Inp] || -> equal(inverse(sk_c4),sk_c10) equal(inverse(sk_c1),sk_c11)**.
% 0.44/0.64 55[0:Inp] || -> equal(inverse(sk_c1),sk_c11) equal(multiply(sk_c5,sk_c8),sk_c11)**.
% 0.44/0.64 56[0:Inp] || -> equal(inverse(sk_c5),sk_c8) equal(inverse(sk_c1),sk_c11)**.
% 0.44/0.64 59[0:Inp] || -> equal(inverse(sk_c6),sk_c8) equal(inverse(sk_c1),sk_c11)**.
% 0.44/0.64 61[0:Inp] || equal(inverse(u),v)* equal(inverse(w),u) equal(inverse(x),v) equal(inverse(y),sk_c10) equal(inverse(z),sk_c11) equal(inverse(x1),sk_c11) equal(inverse(sk_c11),sk_c9) equal(multiply(w,v),u)*+ equal(multiply(x,v),sk_c11)** equal(multiply(x1,sk_c11),x2)* equal(multiply(v,sk_c10),sk_c11)** equal(multiply(y,sk_c10),sk_c9)** equal(multiply(z,sk_c11),sk_c10)** equal(multiply(sk_c11,x2),sk_c10)** equal(multiply(sk_c9,sk_c10),sk_c11)** equal(multiply(sk_c11,sk_c10),sk_c9) -> .
% 0.44/0.64 62[0:Inp] || -> equal(multiply(identity,u),u)**.
% 0.44/0.64 63[0:Inp] || -> equal(multiply(inverse(u),u),identity)**.
% 0.44/0.64 64[0:Inp] || -> equal(multiply(multiply(u,v),w),multiply(u,multiply(v,w)))**.
% 0.44/0.64 65[1:Spt:61.0,61.1,61.2,61.7,61.8,61.10] || equal(inverse(u),v)* equal(inverse(w),u) equal(inverse(x),v) equal(multiply(w,v),u)*+ equal(multiply(x,v),sk_c11)** equal(multiply(v,sk_c10),sk_c11)** -> .
% 0.44/0.64 66[1:EqR:65.3] || equal(inverse(multiply(u,v)),v)** equal(multiply(u,v),inverse(u)) equal(inverse(w),v) equal(multiply(w,v),sk_c11)** equal(multiply(v,sk_c10),sk_c11) -> .
% 0.44/0.64 67[2:Spt:19.1] || -> equal(inverse(sk_c11),sk_c9)**.
% 0.44/0.64 69[3:Spt:29.1] || -> equal(multiply(sk_c9,sk_c10),sk_c11)**.
% 0.44/0.64 72[4:Spt:9.1] || -> equal(multiply(sk_c11,sk_c10),sk_c9)**.
% 0.44/0.64 77[5:Spt:59.1] || -> equal(inverse(sk_c1),sk_c11)**.
% 0.44/0.64 79[6:Spt:49.1] || -> equal(multiply(sk_c1,sk_c11),sk_c2)**.
% 0.44/0.64 81[6:SpL:79.0,65.3] || equal(inverse(u),sk_c11)** equal(inverse(sk_c1),u)* equal(inverse(v),sk_c11) equal(sk_c2,u) equal(multiply(v,sk_c11),sk_c11)** equal(multiply(sk_c11,sk_c10),sk_c11)** -> .
% 0.44/0.64 82[6:Rew:72.0,81.5,77.0,81.1] || equal(inverse(u),sk_c11)** equal(sk_c11,u) equal(inverse(v),sk_c11) equal(sk_c2,u) equal(multiply(v,sk_c11),sk_c11)** equal(sk_c9,sk_c11) -> .
% 0.44/0.64 85[7:Spt:39.1] || -> equal(multiply(sk_c11,sk_c2),sk_c10)**.
% 0.44/0.64 90[2:SpR:67.0,63.0] || -> equal(multiply(sk_c9,sk_c11),identity)**.
% 0.44/0.64 91[5:SpR:77.0,63.0] || -> equal(multiply(sk_c11,sk_c1),identity)**.
% 0.44/0.64 104[2:SpR:90.0,64.0] || -> equal(multiply(sk_c9,multiply(sk_c11,u)),multiply(identity,u))**.
% 0.44/0.64 106[0:SpR:63.0,64.0] || -> equal(multiply(inverse(u),multiply(u,v)),multiply(identity,v))**.
% 0.44/0.64 110[2:Rew:62.0,104.0] || -> equal(multiply(sk_c9,multiply(sk_c11,u)),u)**.
% 0.44/0.64 112[0:Rew:62.0,106.0] || -> equal(multiply(inverse(u),multiply(u,v)),v)**.
% 0.44/0.64 117[7:SpR:85.0,110.0] || -> equal(multiply(sk_c9,sk_c10),sk_c2)**.
% 0.44/0.64 118[5:SpR:91.0,110.0] || -> equal(multiply(sk_c9,identity),sk_c1)**.
% 0.44/0.64 120[7:Rew:69.0,117.0] || -> equal(sk_c2,sk_c11)**.
% 0.44/0.64 121[7:Rew:120.0,79.0] || -> equal(multiply(sk_c1,sk_c11),sk_c11)**.
% 0.44/0.64 122[7:Rew:120.0,85.0] || -> equal(multiply(sk_c11,sk_c11),sk_c10)**.
% 0.44/0.64 123[7:Rew:120.0,82.3] || equal(inverse(u),sk_c11)** equal(sk_c11,u) equal(inverse(v),sk_c11) equal(sk_c11,u) equal(multiply(v,sk_c11),sk_c11)** equal(sk_c9,sk_c11) -> .
% 0.44/0.64 128[7:Obv:123.1] || equal(inverse(u),sk_c11)** equal(inverse(v),sk_c11) equal(sk_c11,u) equal(multiply(v,sk_c11),sk_c11)** equal(sk_c9,sk_c11) -> .
% 0.44/0.64 138[5:SpR:118.0,64.0] || -> equal(multiply(sk_c9,multiply(identity,u)),multiply(sk_c1,u))**.
% 0.44/0.64 141[5:Rew:62.0,138.0] || -> equal(multiply(sk_c1,u),multiply(sk_c9,u))**.
% 0.44/0.64 142[7:Rew:141.0,121.0] || -> equal(multiply(sk_c9,sk_c11),sk_c11)**.
% 0.44/0.64 146[7:Rew:90.0,142.0] || -> equal(identity,sk_c11)**.
% 0.44/0.64 147[7:Rew:146.0,62.0] || -> equal(multiply(sk_c11,u),u)**.
% 0.44/0.64 148[7:Rew:146.0,63.0] || -> equal(multiply(inverse(u),u),sk_c11)**.
% 0.44/0.64 156[7:Rew:147.0,72.0] || -> equal(sk_c9,sk_c10)**.
% 0.44/0.64 157[7:Rew:147.0,122.0] || -> equal(sk_c10,sk_c11)**.
% 0.44/0.64 162[7:Rew:156.0,67.0] || -> equal(inverse(sk_c11),sk_c10)**.
% 0.44/0.64 169[7:Rew:156.0,128.4] || equal(inverse(u),sk_c11)** equal(inverse(v),sk_c11) equal(sk_c11,u) equal(multiply(v,sk_c11),sk_c11)** equal(sk_c10,sk_c11) -> .
% 0.44/0.64 176[7:Rew:157.0,162.0] || -> equal(inverse(sk_c11),sk_c11)**.
% 0.44/0.64 191[7:Rew:157.0,169.4] || equal(inverse(u),sk_c11)** equal(inverse(v),sk_c11) equal(sk_c11,u) equal(multiply(v,sk_c11),sk_c11)** equal(sk_c11,sk_c11) -> .
% 0.44/0.64 192[7:Obv:191.4] || equal(inverse(u),sk_c11)** equal(inverse(v),sk_c11) equal(sk_c11,u) equal(multiply(v,sk_c11),sk_c11)** -> .
% 0.44/0.64 221[0:SpR:112.0,112.0] || -> equal(multiply(inverse(inverse(u)),v),multiply(u,v))**.
% 0.44/0.64 223[0:SpR:64.0,112.0] || -> equal(multiply(inverse(multiply(u,v)),multiply(u,multiply(v,w))),w)**.
% 0.44/0.64 225[7:SpR:148.0,112.0] || -> equal(multiply(inverse(inverse(u)),sk_c11),u)**.
% 0.44/0.64 229[7:Rew:221.0,225.0] || -> equal(multiply(u,sk_c11),u)**.
% 0.44/0.64 235[7:Rew:229.0,192.3] || equal(inverse(u),sk_c11)**+ equal(inverse(v),sk_c11)** equal(sk_c11,u) equal(v,sk_c11) -> .
% 0.44/0.64 248[0:SpR:221.0,112.0] || -> equal(multiply(u,multiply(inverse(u),v)),v)**.
% 0.44/0.64 352[0:SpR:248.0,223.0] || -> equal(multiply(inverse(multiply(u,v)),multiply(u,w)),multiply(inverse(v),w))**.
% 0.44/0.64 356[0:SpR:112.0,223.0] || -> equal(multiply(inverse(multiply(inverse(u),u)),v),v)**.
% 0.44/0.64 514[7:SpL:176.0,235.0] || equal(sk_c11,sk_c11) equal(inverse(u),sk_c11)** equal(sk_c11,sk_c11) equal(u,sk_c11) -> .
% 0.44/0.64 517[7:Obv:514.2] || equal(inverse(u),sk_c11)** equal(u,sk_c11) -> .
% 0.44/0.64 519[7:SpL:176.0,517.0] || equal(sk_c11,sk_c11)* equal(sk_c11,sk_c11)* -> .
% 0.44/0.64 522[7:Obv:519.1] || -> .
% 0.44/0.64 523[7:Spt:522.0,39.1,85.0] || equal(multiply(sk_c11,sk_c2),sk_c10)** -> .
% 0.44/0.64 524[7:Spt:522.0,39.0] || -> equal(inverse(sk_c6),sk_c8)**.
% 0.44/0.64 525[6:Rew:141.0,79.0] || -> equal(multiply(sk_c9,sk_c11),sk_c2)**.
% 0.44/0.64 526[6:Rew:90.0,525.0] || -> equal(identity,sk_c2)**.
% 0.44/0.64 529[6:Rew:526.0,90.0] || -> equal(multiply(sk_c9,sk_c11),sk_c2)**.
% 0.44/0.64 533[7:MRR:36.1,523.0] || -> equal(inverse(sk_c5),sk_c8)**.
% 0.44/0.64 535[7:MRR:32.1,523.0] || -> equal(inverse(sk_c3),sk_c11)**.
% 0.44/0.64 540[7:MRR:35.1,523.0] || -> equal(multiply(sk_c5,sk_c8),sk_c11)**.
% 0.44/0.64 542[7:MRR:31.1,523.0] || -> equal(multiply(sk_c3,sk_c11),sk_c10)**.
% 0.44/0.64 559[2:SpR:67.0,248.0] || -> equal(multiply(sk_c11,multiply(sk_c9,u)),u)**.
% 0.44/0.64 570[7:SpR:533.0,248.0] || -> equal(multiply(sk_c5,multiply(sk_c8,u)),u)**.
% 0.44/0.64 575[7:SpR:535.0,112.0] || -> equal(multiply(sk_c11,multiply(sk_c3,u)),u)**.
% 0.44/0.64 605[6:SpR:529.0,112.0] || -> equal(multiply(inverse(sk_c9),sk_c2),sk_c11)**.
% 0.44/0.64 608[7:SpR:540.0,64.0] || -> equal(multiply(sk_c5,multiply(sk_c8,u)),multiply(sk_c11,u))**.
% 0.44/0.64 612[7:Rew:570.0,608.0] || -> equal(multiply(sk_c11,u),u)**.
% 0.44/0.64 614[7:Rew:612.0,72.0] || -> equal(sk_c9,sk_c10)**.
% 0.44/0.64 615[7:Rew:612.0,575.0] || -> equal(multiply(sk_c3,u),u)**.
% 0.44/0.64 623[7:Rew:612.0,523.0] || equal(sk_c2,sk_c10)** -> .
% 0.44/0.64 630[7:Rew:614.0,67.0] || -> equal(inverse(sk_c11),sk_c10)**.
% 0.44/0.64 640[7:Rew:614.0,605.0] || -> equal(multiply(inverse(sk_c10),sk_c2),sk_c11)**.
% 0.44/0.64 646[7:Rew:615.0,542.0] || -> equal(sk_c10,sk_c11)**.
% 0.44/0.64 657[7:Rew:646.0,623.0] || equal(sk_c2,sk_c11)** -> .
% 0.44/0.64 658[7:Rew:646.0,630.0] || -> equal(inverse(sk_c11),sk_c11)**.
% 0.44/0.64 681[7:Rew:612.0,640.0,658.0,640.0,646.0,640.0] || -> equal(sk_c2,sk_c11)**.
% 0.44/0.64 682[7:MRR:681.0,657.0] || -> .
% 0.44/0.64 717[6:Spt:682.0,49.1,79.0] || equal(multiply(sk_c1,sk_c11),sk_c2)** -> .
% 0.44/0.64 718[6:Spt:682.0,49.0] || -> equal(inverse(sk_c6),sk_c8)**.
% 0.44/0.64 719[6:Rew:141.0,717.0] || equal(multiply(sk_c9,sk_c11),sk_c2)** -> .
% 0.44/0.64 720[6:Rew:90.0,719.0] || equal(identity,sk_c2)** -> .
% 0.44/0.64 723[5:Rew:90.0,46.1,141.0,46.1] || -> equal(inverse(sk_c5),sk_c8)** equal(identity,sk_c2).
% 0.44/0.64 724[6:MRR:723.1,720.0] || -> equal(inverse(sk_c5),sk_c8)**.
% 0.44/0.64 727[5:Rew:90.0,42.1,141.0,42.1] || -> equal(inverse(sk_c3),sk_c11)** equal(identity,sk_c2).
% 0.44/0.64 728[6:MRR:727.1,720.0] || -> equal(inverse(sk_c3),sk_c11)**.
% 0.44/0.64 729[0:Rew:63.0,356.0] || -> equal(multiply(inverse(identity),u),u)**.
% 0.44/0.64 734[5:Rew:90.0,45.1,141.0,45.1] || -> equal(multiply(sk_c5,sk_c8),sk_c11)** equal(identity,sk_c2).
% 0.44/0.64 735[6:MRR:734.1,720.0] || -> equal(multiply(sk_c5,sk_c8),sk_c11)**.
% 0.44/0.64 738[5:Rew:90.0,41.1,141.0,41.1] || -> equal(multiply(sk_c3,sk_c11),sk_c10)** equal(identity,sk_c2).
% 0.44/0.64 739[6:MRR:738.1,720.0] || -> equal(multiply(sk_c3,sk_c11),sk_c10)**.
% 0.44/0.64 758[6:SpR:724.0,248.0] || -> equal(multiply(sk_c5,multiply(sk_c8,u)),u)**.
% 0.44/0.64 763[6:SpR:728.0,112.0] || -> equal(multiply(sk_c11,multiply(sk_c3,u)),u)**.
% 0.44/0.64 796[6:SpR:735.0,64.0] || -> equal(multiply(sk_c5,multiply(sk_c8,u)),multiply(sk_c11,u))**.
% 0.44/0.64 800[6:Rew:758.0,796.0] || -> equal(multiply(sk_c11,u),u)**.
% 0.44/0.64 801[6:Rew:800.0,91.0] || -> equal(identity,sk_c1)**.
% 0.44/0.64 802[6:Rew:800.0,72.0] || -> equal(sk_c9,sk_c10)**.
% 0.44/0.64 803[6:Rew:800.0,763.0] || -> equal(multiply(sk_c3,u),u)**.
% 0.44/0.64 812[6:Rew:801.0,90.0] || -> equal(multiply(sk_c9,sk_c11),sk_c1)**.
% 0.44/0.64 815[6:Rew:801.0,63.0] || -> equal(multiply(inverse(u),u),sk_c1)**.
% 0.44/0.64 824[6:Rew:802.0,67.0] || -> equal(inverse(sk_c11),sk_c10)**.
% 0.44/0.64 835[6:Rew:803.0,739.0] || -> equal(sk_c10,sk_c11)**.
% 0.44/0.64 841[6:Rew:835.0,66.4] || equal(inverse(multiply(u,v)),v)** equal(multiply(u,v),inverse(u)) equal(inverse(w),v) equal(multiply(w,v),sk_c11)** equal(multiply(v,sk_c11),sk_c11) -> .
% 0.44/0.64 844[6:Rew:835.0,802.0] || -> equal(sk_c9,sk_c11)**.
% 0.44/0.64 845[6:Rew:835.0,824.0] || -> equal(inverse(sk_c11),sk_c11)**.
% 0.44/0.64 848[6:Rew:800.0,812.0,844.0,812.0] || -> equal(sk_c1,sk_c11)**.
% 0.44/0.64 869[6:Rew:848.0,815.0] || -> equal(multiply(inverse(u),u),sk_c11)**.
% 0.44/0.64 938[6:SpR:869.0,248.0] || -> equal(multiply(u,sk_c11),u)**.
% 0.44/0.64 948[6:Rew:938.0,841.4] || equal(inverse(multiply(u,v)),v)**+ equal(multiply(u,v),inverse(u)) equal(inverse(w),v) equal(multiply(w,v),sk_c11)** equal(v,sk_c11) -> .
% 0.44/0.64 979[6:SpR:938.0,248.0] || -> equal(multiply(u,inverse(u)),sk_c11)**.
% 0.44/0.64 990[6:SpR:979.0,248.0] || -> equal(multiply(u,sk_c11),inverse(inverse(u)))**.
% 0.44/0.64 993[6:Rew:938.0,990.0] || -> equal(inverse(inverse(u)),u)**.
% 0.44/0.64 1438[6:SpL:869.0,948.0] || equal(inverse(sk_c11),u) equal(multiply(inverse(u),u),inverse(inverse(u)))** equal(inverse(v),u) equal(multiply(v,u),sk_c11)** equal(u,sk_c11) -> .
% 0.44/0.64 1448[6:Rew:869.0,1438.1,993.0,1438.1,845.0,1438.0] || equal(sk_c11,u) equal(sk_c11,u) equal(inverse(v),u) equal(multiply(v,u),sk_c11)** equal(u,sk_c11) -> .
% 0.44/0.64 1449[6:Obv:1448.1] || equal(inverse(u),v) equal(multiply(u,v),sk_c11)** equal(v,sk_c11) -> .
% 0.44/0.64 1610[6:SpL:979.0,1449.1] || equal(inverse(u),inverse(u))* equal(sk_c11,sk_c11) equal(inverse(u),sk_c11) -> .
% 0.44/0.64 1632[6:Obv:1610.1] || equal(inverse(u),sk_c11)** -> .
% 0.44/0.64 1633[6:UnC:1632.0,993.0] || -> .
% 0.44/0.64 1639[5:Spt:1633.0,59.1,77.0] || equal(inverse(sk_c1),sk_c11)** -> .
% 0.44/0.64 1640[5:Spt:1633.0,59.0] || -> equal(inverse(sk_c6),sk_c8)**.
% 0.44/0.64 1642[5:MRR:56.1,1639.0] || -> equal(inverse(sk_c5),sk_c8)**.
% 0.44/0.64 1644[5:MRR:52.1,1639.0] || -> equal(inverse(sk_c3),sk_c11)**.
% 0.44/0.64 1647[5:MRR:55.0,1639.0] || -> equal(multiply(sk_c5,sk_c8),sk_c11)**.
% 0.44/0.64 1649[5:MRR:51.0,1639.0] || -> equal(multiply(sk_c3,sk_c11),sk_c10)**.
% 0.44/0.64 1667[5:SpR:1642.0,248.0] || -> equal(multiply(sk_c5,multiply(sk_c8,u)),u)**.
% 0.44/0.64 1672[5:SpR:1644.0,112.0] || -> equal(multiply(sk_c11,multiply(sk_c3,u)),u)**.
% 0.44/0.64 1716[5:SpR:1647.0,64.0] || -> equal(multiply(sk_c5,multiply(sk_c8,u)),multiply(sk_c11,u))**.
% 0.44/0.64 1722[5:Rew:1667.0,1716.0] || -> equal(multiply(sk_c11,u),u)**.
% 0.44/0.64 1723[5:Rew:1722.0,72.0] || -> equal(sk_c9,sk_c10)**.
% 0.44/0.64 1724[5:Rew:1722.0,1672.0] || -> equal(multiply(sk_c3,u),u)**.
% 0.44/0.64 1734[5:Rew:1723.0,67.0] || -> equal(inverse(sk_c11),sk_c10)**.
% 0.44/0.64 1735[5:Rew:1723.0,90.0] || -> equal(multiply(sk_c10,sk_c11),identity)**.
% 0.44/0.64 1752[5:Rew:1724.0,1649.0] || -> equal(sk_c10,sk_c11)**.
% 0.44/0.64 1760[5:Rew:1752.0,66.4] || equal(inverse(multiply(u,v)),v)** equal(multiply(u,v),inverse(u)) equal(inverse(w),v) equal(multiply(w,v),sk_c11)** equal(multiply(v,sk_c11),sk_c11) -> .
% 0.44/0.64 1766[5:Rew:1752.0,1734.0] || -> equal(inverse(sk_c11),sk_c11)**.
% 0.44/0.64 1769[5:Rew:1722.0,1735.0,1752.0,1735.0] || -> equal(identity,sk_c11)**.
% 0.44/0.64 1772[5:Rew:1769.0,63.0] || -> equal(multiply(inverse(u),u),sk_c11)**.
% 0.44/0.64 1903[5:SpR:1772.0,112.0] || -> equal(multiply(inverse(inverse(u)),sk_c11),u)**.
% 0.44/0.64 1907[5:SpR:1772.0,248.0] || -> equal(multiply(u,sk_c11),u)**.
% 0.44/0.64 1917[5:Rew:1907.0,1760.4] || equal(inverse(multiply(u,v)),v)**+ equal(multiply(u,v),inverse(u)) equal(inverse(w),v) equal(multiply(w,v),sk_c11)** equal(v,sk_c11) -> .
% 0.44/0.64 1932[5:Rew:1907.0,1903.0] || -> equal(inverse(inverse(u)),u)**.
% 0.44/0.64 1960[5:SpR:1907.0,248.0] || -> equal(multiply(u,inverse(u)),sk_c11)**.
% 0.44/0.64 2200[5:SpL:1772.0,1917.0] || equal(inverse(sk_c11),u) equal(multiply(inverse(u),u),inverse(inverse(u)))** equal(inverse(v),u) equal(multiply(v,u),sk_c11)** equal(u,sk_c11) -> .
% 0.44/0.64 2209[5:Rew:1772.0,2200.1,1932.0,2200.1,1766.0,2200.0] || equal(sk_c11,u) equal(sk_c11,u) equal(inverse(v),u) equal(multiply(v,u),sk_c11)** equal(u,sk_c11) -> .
% 0.44/0.64 2210[5:Obv:2209.1] || equal(inverse(u),v) equal(multiply(u,v),sk_c11)** equal(v,sk_c11) -> .
% 0.44/0.64 2507[5:SpL:1960.0,2210.1] || equal(inverse(u),inverse(u))* equal(sk_c11,sk_c11) equal(inverse(u),sk_c11) -> .
% 0.44/0.64 2529[5:Obv:2507.1] || equal(inverse(u),sk_c11)** -> .
% 0.44/0.64 2530[5:UnC:2529.0,1932.0] || -> .
% 0.44/0.64 2536[4:Spt:2530.0,9.1,72.0] || equal(multiply(sk_c11,sk_c10),sk_c9)** -> .
% 0.44/0.64 2537[4:Spt:2530.0,9.0] || -> equal(inverse(sk_c6),sk_c8)**.
% 0.44/0.64 2539[4:MRR:8.1,2536.0] || -> equal(inverse(sk_c7),sk_c6)**.
% 0.44/0.64 2540[4:MRR:6.1,2536.0] || -> equal(inverse(sk_c5),sk_c8)**.
% 0.44/0.64 2542[4:MRR:2.1,2536.0] || -> equal(inverse(sk_c3),sk_c11)**.
% 0.44/0.64 2543[4:MRR:10.1,2536.0] || -> equal(multiply(sk_c7,sk_c8),sk_c6)**.
% 0.44/0.64 2544[4:MRR:7.1,2536.0] || -> equal(multiply(sk_c8,sk_c10),sk_c11)**.
% 0.44/0.64 2545[4:MRR:5.1,2536.0] || -> equal(multiply(sk_c5,sk_c8),sk_c11)**.
% 0.44/0.64 2547[4:MRR:1.1,2536.0] || -> equal(multiply(sk_c3,sk_c11),sk_c10)**.
% 0.44/0.64 2556[4:SpR:2537.0,112.0] || -> equal(multiply(sk_c8,multiply(sk_c6,u)),u)**.
% 0.44/0.64 2572[4:SpR:2540.0,248.0] || -> equal(multiply(sk_c5,multiply(sk_c8,u)),u)**.
% 0.44/0.64 2581[4:SpR:2542.0,112.0] || -> equal(multiply(sk_c11,multiply(sk_c3,u)),u)**.
% 0.44/0.64 2600[4:SpR:2543.0,112.0] || -> equal(multiply(inverse(sk_c7),sk_c6),sk_c8)**.
% 0.44/0.64 2604[4:Rew:2539.0,2600.0] || -> equal(multiply(sk_c6,sk_c6),sk_c8)**.
% 0.44/0.64 2613[4:SpR:2545.0,64.0] || -> equal(multiply(sk_c5,multiply(sk_c8,u)),multiply(sk_c11,u))**.
% 0.44/0.64 2614[4:SpR:2545.0,112.0] || -> equal(multiply(inverse(sk_c5),sk_c11),sk_c8)**.
% 0.44/0.64 2618[4:Rew:2540.0,2614.0] || -> equal(multiply(sk_c8,sk_c11),sk_c8)**.
% 0.44/0.64 2619[4:Rew:2572.0,2613.0] || -> equal(multiply(sk_c11,u),u)**.
% 0.44/0.64 2621[4:Rew:2619.0,2581.0] || -> equal(multiply(sk_c3,u),u)**.
% 0.44/0.64 2630[4:Rew:2619.0,2536.0] || equal(sk_c9,sk_c10)** -> .
% 0.44/0.64 2632[4:Rew:2621.0,2547.0] || -> equal(sk_c10,sk_c11)**.
% 0.44/0.64 2635[4:Rew:2632.0,2544.0] || -> equal(multiply(sk_c8,sk_c11),sk_c11)**.
% 0.44/0.64 2653[4:Rew:2632.0,2630.0] || equal(sk_c9,sk_c11)** -> .
% 0.44/0.64 2661[4:Rew:2618.0,2635.0] || -> equal(sk_c8,sk_c11)**.
% 0.44/0.64 2662[4:Rew:2661.0,2537.0] || -> equal(inverse(sk_c6),sk_c11)**.
% 0.44/0.64 2666[4:Rew:2661.0,2556.0] || -> equal(multiply(sk_c11,multiply(sk_c6,u)),u)**.
% 0.44/0.64 2675[4:Rew:2661.0,2604.0] || -> equal(multiply(sk_c6,sk_c6),sk_c11)**.
% 0.44/0.64 2687[4:Rew:2619.0,2666.0] || -> equal(multiply(sk_c6,u),u)**.
% 0.44/0.64 2688[4:Rew:2687.0,2675.0] || -> equal(sk_c6,sk_c11)**.
% 0.44/0.64 2694[4:Rew:2688.0,2662.0] || -> equal(inverse(sk_c11),sk_c11)**.
% 0.44/0.64 2697[4:Rew:67.0,2694.0] || -> equal(sk_c9,sk_c11)**.
% 0.44/0.64 2698[4:MRR:2697.0,2653.0] || -> .
% 0.44/0.64 2732[3:Spt:2698.0,29.1,69.0] || equal(multiply(sk_c9,sk_c10),sk_c11)** -> .
% 0.44/0.64 2733[3:Spt:2698.0,29.0] || -> equal(inverse(sk_c6),sk_c8)**.
% 0.44/0.64 2735[3:MRR:26.1,2732.0] || -> equal(inverse(sk_c5),sk_c8)**.
% 0.44/0.64 2737[3:MRR:22.1,2732.0] || -> equal(inverse(sk_c3),sk_c11)**.
% 0.44/0.64 2740[3:MRR:25.1,2732.0] || -> equal(multiply(sk_c5,sk_c8),sk_c11)**.
% 0.44/0.64 2742[3:MRR:21.1,2732.0] || -> equal(multiply(sk_c3,sk_c11),sk_c10)**.
% 0.44/0.64 2754[3:SpR:2735.0,248.0] || -> equal(multiply(sk_c5,multiply(sk_c8,u)),u)**.
% 0.44/0.64 2763[3:SpR:2737.0,112.0] || -> equal(multiply(sk_c11,multiply(sk_c3,u)),u)**.
% 0.44/0.64 2789[3:SpR:2740.0,64.0] || -> equal(multiply(sk_c5,multiply(sk_c8,u)),multiply(sk_c11,u))**.
% 0.44/0.64 2795[3:Rew:2754.0,2789.0] || -> equal(multiply(sk_c11,u),u)**.
% 0.44/0.64 2800[3:Rew:2795.0,2763.0] || -> equal(multiply(sk_c3,u),u)**.
% 0.44/0.64 2801[3:Rew:2795.0,559.0] || -> equal(multiply(sk_c9,u),u)**.
% 0.44/0.64 2806[3:Rew:2800.0,2742.0] || -> equal(sk_c10,sk_c11)**.
% 0.44/0.64 2809[3:Rew:2806.0,2732.0] || equal(multiply(sk_c9,sk_c11),sk_c11)** -> .
% 0.44/0.64 2847[3:Rew:2801.0,2809.0] || equal(sk_c11,sk_c11)* -> .
% 0.44/0.64 2848[3:Obv:2847.0] || -> .
% 0.44/0.64 2893[2:Spt:2848.0,19.1,67.0] || equal(inverse(sk_c11),sk_c9)** -> .
% 0.44/0.64 2894[2:Spt:2848.0,19.0] || -> equal(inverse(sk_c6),sk_c8)**.
% 0.44/0.64 2895[2:MRR:18.1,2893.0] || -> equal(inverse(sk_c7),sk_c6)**.
% 0.44/0.64 2896[2:MRR:16.1,2893.0] || -> equal(inverse(sk_c5),sk_c8)**.
% 0.44/0.64 2897[2:MRR:14.1,2893.0] || -> equal(inverse(sk_c4),sk_c10)**.
% 0.44/0.64 2898[2:MRR:12.1,2893.0] || -> equal(inverse(sk_c3),sk_c11)**.
% 0.44/0.64 2899[2:MRR:20.0,2893.0] || -> equal(multiply(sk_c7,sk_c8),sk_c6)**.
% 0.44/0.64 2900[2:MRR:17.0,2893.0] || -> equal(multiply(sk_c8,sk_c10),sk_c11)**.
% 0.44/0.64 2901[2:MRR:15.0,2893.0] || -> equal(multiply(sk_c5,sk_c8),sk_c11)**.
% 0.44/0.64 2902[2:MRR:13.0,2893.0] || -> equal(multiply(sk_c4,sk_c10),sk_c9)**.
% 0.44/0.64 2903[2:MRR:11.0,2893.0] || -> equal(multiply(sk_c3,sk_c11),sk_c10)**.
% 0.44/0.64 2904[2:SpR:2894.0,112.0] || -> equal(multiply(sk_c8,multiply(sk_c6,u)),u)**.
% 0.44/0.64 2915[2:SpR:2896.0,248.0] || -> equal(multiply(sk_c5,multiply(sk_c8,u)),u)**.
% 0.44/0.64 2919[2:SpR:2897.0,112.0] || -> equal(multiply(sk_c10,multiply(sk_c4,u)),u)**.
% 0.44/0.64 2924[2:SpR:2898.0,112.0] || -> equal(multiply(sk_c11,multiply(sk_c3,u)),u)**.
% 0.44/0.64 2930[2:SpR:2899.0,112.0] || -> equal(multiply(inverse(sk_c7),sk_c6),sk_c8)**.
% 0.44/0.64 2934[2:Rew:2895.0,2930.0] || -> equal(multiply(sk_c6,sk_c6),sk_c8)**.
% 0.44/0.64 2942[2:SpR:2901.0,64.0] || -> equal(multiply(sk_c5,multiply(sk_c8,u)),multiply(sk_c11,u))**.
% 0.44/0.64 2943[2:SpR:2901.0,112.0] || -> equal(multiply(inverse(sk_c5),sk_c11),sk_c8)**.
% 0.44/0.64 2947[2:Rew:2896.0,2943.0] || -> equal(multiply(sk_c8,sk_c11),sk_c8)**.
% 0.44/0.64 2948[2:Rew:2915.0,2942.0] || -> equal(multiply(sk_c11,u),u)**.
% 0.44/0.64 2950[2:Rew:2948.0,2924.0] || -> equal(multiply(sk_c3,u),u)**.
% 0.44/0.64 2954[2:Rew:2950.0,2903.0] || -> equal(sk_c10,sk_c11)**.
% 0.44/0.64 2956[2:Rew:2954.0,2900.0] || -> equal(multiply(sk_c8,sk_c11),sk_c11)**.
% 0.44/0.64 2957[2:Rew:2954.0,2902.0] || -> equal(multiply(sk_c4,sk_c11),sk_c9)**.
% 0.44/0.64 2963[2:Rew:2954.0,2919.0] || -> equal(multiply(sk_c11,multiply(sk_c4,u)),u)**.
% 0.44/0.64 2970[2:Rew:2947.0,2956.0] || -> equal(sk_c8,sk_c11)**.
% 0.44/0.64 2971[2:Rew:2970.0,2894.0] || -> equal(inverse(sk_c6),sk_c11)**.
% 0.44/0.64 2975[2:Rew:2970.0,2904.0] || -> equal(multiply(sk_c11,multiply(sk_c6,u)),u)**.
% 0.44/0.64 2984[2:Rew:2970.0,2934.0] || -> equal(multiply(sk_c6,sk_c6),sk_c11)**.
% 0.44/0.64 2992[2:Rew:2948.0,2963.0] || -> equal(multiply(sk_c4,u),u)**.
% 0.44/0.64 2993[2:Rew:2992.0,2957.0] || -> equal(sk_c9,sk_c11)**.
% 0.44/0.64 2994[2:Rew:2993.0,2893.0] || equal(inverse(sk_c11),sk_c11)** -> .
% 0.44/0.64 2996[2:Rew:2948.0,2975.0] || -> equal(multiply(sk_c6,u),u)**.
% 0.44/0.64 2997[2:Rew:2996.0,2984.0] || -> equal(sk_c6,sk_c11)**.
% 0.44/0.64 3003[2:Rew:2997.0,2971.0] || -> equal(inverse(sk_c11),sk_c11)**.
% 0.44/0.64 3006[2:MRR:3003.0,2994.0] || -> .
% 0.44/0.64 3026[1:Spt:3006.0,61.3,61.4,61.5,61.6,61.9,61.11,61.12,61.13,61.14,61.15] || equal(inverse(u),sk_c10) equal(inverse(v),sk_c11) equal(inverse(w),sk_c11) equal(inverse(sk_c11),sk_c9) equal(multiply(w,sk_c11),x)*+ equal(multiply(u,sk_c10),sk_c9)** equal(multiply(v,sk_c11),sk_c10)** equal(multiply(sk_c11,x),sk_c10)** equal(multiply(sk_c9,sk_c10),sk_c11)** equal(multiply(sk_c11,sk_c10),sk_c9) -> .
% 0.44/0.64 3027[1:EqR:3026.4] || equal(inverse(u),sk_c10) equal(inverse(v),sk_c11) equal(inverse(w),sk_c11) equal(inverse(sk_c11),sk_c9) equal(multiply(u,sk_c10),sk_c9)** equal(multiply(v,sk_c11),sk_c10)** equal(multiply(sk_c11,multiply(w,sk_c11)),sk_c10)** equal(multiply(sk_c9,sk_c10),sk_c11) equal(multiply(sk_c11,sk_c10),sk_c9) -> .
% 0.44/0.64 3029[2:Spt:18.1] || -> equal(inverse(sk_c11),sk_c9)**.
% 0.44/0.64 3032[2:Rew:3029.0,3027.3] || equal(inverse(u),sk_c10) equal(inverse(v),sk_c11) equal(inverse(w),sk_c11) equal(sk_c9,sk_c9) equal(multiply(u,sk_c10),sk_c9)** equal(multiply(v,sk_c11),sk_c10)** equal(multiply(sk_c11,multiply(w,sk_c11)),sk_c10)** equal(multiply(sk_c9,sk_c10),sk_c11) equal(multiply(sk_c11,sk_c10),sk_c9) -> .
% 0.44/0.64 3033[2:Obv:3032.3] || equal(inverse(u),sk_c10) equal(inverse(v),sk_c11) equal(inverse(w),sk_c11) equal(multiply(u,sk_c10),sk_c9)** equal(multiply(v,sk_c11),sk_c10)** equal(multiply(sk_c11,multiply(w,sk_c11)),sk_c10)** equal(multiply(sk_c9,sk_c10),sk_c11) equal(multiply(sk_c11,sk_c10),sk_c9) -> .
% 0.44/0.64 3041[3:Spt:9.1] || -> equal(multiply(sk_c11,sk_c10),sk_c9)**.
% 0.44/0.64 3044[3:Rew:3041.0,3033.7] || equal(inverse(u),sk_c10) equal(inverse(v),sk_c11) equal(inverse(w),sk_c11) equal(multiply(u,sk_c10),sk_c9)** equal(multiply(v,sk_c11),sk_c10)** equal(multiply(sk_c11,multiply(w,sk_c11)),sk_c10)** equal(multiply(sk_c9,sk_c10),sk_c11) equal(sk_c9,sk_c9) -> .
% 0.44/0.64 3045[3:Obv:3044.7] || equal(inverse(u),sk_c10) equal(inverse(v),sk_c11) equal(inverse(w),sk_c11) equal(multiply(u,sk_c10),sk_c9)** equal(multiply(v,sk_c11),sk_c10)** equal(multiply(sk_c11,multiply(w,sk_c11)),sk_c10)** equal(multiply(sk_c9,sk_c10),sk_c11) -> .
% 0.44/0.64 3049[3:SpR:3041.0,112.0] || -> equal(multiply(inverse(sk_c11),sk_c9),sk_c10)**.
% 0.44/0.64 3053[3:Rew:3029.0,3049.0] || -> equal(multiply(sk_c9,sk_c9),sk_c10)**.
% 0.44/0.64 3055[4:Spt:28.1] || -> equal(multiply(sk_c9,sk_c10),sk_c11)**.
% 0.44/0.64 3058[4:Rew:3055.0,3045.6] || equal(inverse(u),sk_c10) equal(inverse(v),sk_c11) equal(inverse(w),sk_c11) equal(multiply(u,sk_c10),sk_c9)** equal(multiply(v,sk_c11),sk_c10)** equal(multiply(sk_c11,multiply(w,sk_c11)),sk_c10)** equal(sk_c11,sk_c11) -> .
% 0.44/0.64 3059[4:Obv:3058.6] || equal(inverse(u),sk_c10) equal(inverse(v),sk_c11) equal(inverse(w),sk_c11) equal(multiply(u,sk_c10),sk_c9)** equal(multiply(v,sk_c11),sk_c10)** equal(multiply(sk_c11,multiply(w,sk_c11)),sk_c10)** -> .
% 0.44/0.64 3064[4:SpR:3055.0,352.0] || -> equal(multiply(inverse(sk_c11),multiply(sk_c9,u)),multiply(inverse(sk_c10),u))**.
% 0.44/0.64 3067[4:Rew:3029.0,3064.0] || -> equal(multiply(sk_c9,multiply(sk_c9,u)),multiply(inverse(sk_c10),u))**.
% 0.44/0.64 3068[5:Spt:59.1] || -> equal(inverse(sk_c1),sk_c11)**.
% 0.44/0.64 3074[6:Spt:39.1] || -> equal(multiply(sk_c11,sk_c2),sk_c10)**.
% 0.44/0.64 3076[6:SpR:3074.0,112.0] || -> equal(multiply(inverse(sk_c11),sk_c10),sk_c2)**.
% 0.44/0.64 3080[6:Rew:3055.0,3076.0,3029.0,3076.0] || -> equal(sk_c2,sk_c11)**.
% 0.44/0.64 3081[6:Rew:3080.0,3074.0] || -> equal(multiply(sk_c11,sk_c11),sk_c10)**.
% 0.44/0.64 3082[6:Rew:3080.0,41.1] || -> equal(multiply(sk_c3,sk_c11),sk_c10) equal(multiply(sk_c1,sk_c11),sk_c11)**.
% 0.44/0.64 3083[6:Rew:3080.0,43.1] || -> equal(multiply(sk_c4,sk_c10),sk_c9) equal(multiply(sk_c1,sk_c11),sk_c11)**.
% 0.44/0.64 3085[6:Rew:3080.0,47.1] || -> equal(multiply(sk_c8,sk_c10),sk_c11) equal(multiply(sk_c1,sk_c11),sk_c11)**.
% 0.44/0.64 3087[6:Rew:3080.0,42.1] || -> equal(inverse(sk_c3),sk_c11) equal(multiply(sk_c1,sk_c11),sk_c11)**.
% 0.44/0.64 3088[6:Rew:3080.0,44.1] || -> equal(inverse(sk_c4),sk_c10) equal(multiply(sk_c1,sk_c11),sk_c11)**.
% 0.44/0.64 3091[6:Rew:3080.0,49.1] || -> equal(inverse(sk_c6),sk_c8) equal(multiply(sk_c1,sk_c11),sk_c11)**.
% 0.44/0.64 3098[3:SpR:3053.0,64.0] || -> equal(multiply(sk_c9,multiply(sk_c9,u)),multiply(sk_c10,u))**.
% 0.44/0.64 3103[4:Rew:3067.0,3098.0] || -> equal(multiply(inverse(sk_c10),u),multiply(sk_c10,u))**.
% 0.44/0.64 3164[0:SpR:63.0,112.0] || -> equal(multiply(inverse(inverse(u)),identity),u)**.
% 0.44/0.64 3170[0:SpR:63.0,248.0] || -> equal(multiply(u,identity),u)**.
% 0.44/0.64 3173[2:SpR:3029.0,63.0] || -> equal(multiply(sk_c9,sk_c11),identity)**.
% 0.44/0.64 3174[5:SpR:3068.0,63.0] || -> equal(multiply(sk_c11,sk_c1),identity)**.
% 0.44/0.64 3176[0:Rew:3170.0,3164.0] || -> equal(inverse(inverse(u)),u)**.
% 0.44/0.64 3183[7:Spt:3087.0] || -> equal(inverse(sk_c3),sk_c11)**.
% 0.44/0.64 3191[2:SpR:3173.0,112.0] || -> equal(multiply(inverse(sk_c9),identity),sk_c11)**.
% 0.44/0.64 3195[2:Rew:3170.0,3191.0] || -> equal(inverse(sk_c9),sk_c11)**.
% 0.44/0.64 3211[2:SpR:3195.0,63.0] || -> equal(multiply(sk_c11,sk_c9),identity)**.
% 0.44/0.64 3215[5:SpR:3174.0,112.0] || -> equal(multiply(inverse(sk_c11),identity),sk_c1)**.
% 0.44/0.64 3219[5:Rew:3029.0,3215.0] || -> equal(multiply(sk_c9,identity),sk_c1)**.
% 0.44/0.64 3220[5:Rew:3170.0,3219.0] || -> equal(sk_c1,sk_c9)**.
% 0.44/0.64 3228[6:Rew:3220.0,3085.1] || -> equal(multiply(sk_c8,sk_c10),sk_c11)** equal(multiply(sk_c9,sk_c11),sk_c11).
% 0.44/0.64 3230[6:Rew:3220.0,3083.1] || -> equal(multiply(sk_c4,sk_c10),sk_c9)** equal(multiply(sk_c9,sk_c11),sk_c11).
% 0.44/0.64 3231[6:Rew:3220.0,3082.1] || -> equal(multiply(sk_c3,sk_c11),sk_c10)** equal(multiply(sk_c9,sk_c11),sk_c11).
% 0.44/0.64 3232[6:Rew:3220.0,3091.1] || -> equal(inverse(sk_c6),sk_c8) equal(multiply(sk_c9,sk_c11),sk_c11)**.
% 0.44/0.64 3235[6:Rew:3220.0,3088.1] || -> equal(inverse(sk_c4),sk_c10) equal(multiply(sk_c9,sk_c11),sk_c11)**.
% 0.44/0.64 3238[6:Rew:3173.0,3232.1] || -> equal(inverse(sk_c6),sk_c8)** equal(identity,sk_c11).
% 0.44/0.64 3241[6:Rew:3173.0,3235.1] || -> equal(inverse(sk_c4),sk_c10)** equal(identity,sk_c11).
% 0.44/0.64 3243[6:Rew:3173.0,3228.1] || -> equal(multiply(sk_c8,sk_c10),sk_c11)** equal(identity,sk_c11).
% 0.44/0.64 3245[6:Rew:3173.0,3230.1] || -> equal(multiply(sk_c4,sk_c10),sk_c9)** equal(identity,sk_c11).
% 0.44/0.64 3246[6:Rew:3173.0,3231.1] || -> equal(multiply(sk_c3,sk_c11),sk_c10)** equal(identity,sk_c11).
% 0.44/0.64 3252[8:Spt:3238.1] || -> equal(identity,sk_c11)**.
% 0.44/0.64 3253[8:Rew:3252.0,62.0] || -> equal(multiply(sk_c11,u),u)**.
% 0.44/0.64 3257[8:Rew:3252.0,3170.0] || -> equal(multiply(u,sk_c11),u)**.
% 0.44/0.64 3260[8:Rew:3253.0,3081.0] || -> equal(sk_c10,sk_c11)**.
% 0.44/0.64 3261[8:Rew:3253.0,3041.0] || -> equal(sk_c9,sk_c10)**.
% 0.44/0.64 3277[8:Rew:3253.0,3059.5] || equal(inverse(u),sk_c10) equal(inverse(v),sk_c11) equal(inverse(w),sk_c11) equal(multiply(u,sk_c10),sk_c9)** equal(multiply(v,sk_c11),sk_c10)** equal(multiply(w,sk_c11),sk_c10)** -> .
% 0.44/0.64 3285[8:Rew:3260.0,3261.0] || -> equal(sk_c9,sk_c11)**.
% 0.44/0.64 3286[8:Rew:3285.0,3029.0] || -> equal(inverse(sk_c11),sk_c11)**.
% 0.44/0.64 3318[8:Con:3277.2] || equal(inverse(u),sk_c10) equal(inverse(v),sk_c11) equal(multiply(u,sk_c10),sk_c9)** equal(multiply(v,sk_c11),sk_c10)** -> .
% 0.44/0.64 3319[8:Rew:3257.0,3318.3,3260.0,3318.3,3257.0,3318.2,3260.0,3318.2,3285.0,3318.2,3260.0,3318.0] || equal(inverse(u),sk_c11)** equal(inverse(v),sk_c11)** equal(u,sk_c11) equal(v,sk_c11) -> .
% 0.44/0.64 3320[8:Con:3319.1] || equal(inverse(u),sk_c11)** equal(u,sk_c11) -> .
% 0.44/0.64 3393[8:SpL:3286.0,3320.0] || equal(sk_c11,sk_c11)* equal(sk_c11,sk_c11)* -> .
% 0.44/0.64 3395[8:Obv:3393.1] || -> .
% 0.44/0.64 3396[8:Spt:3395.0,3238.1,3252.0] || equal(identity,sk_c11)** -> .
% 0.44/0.64 3397[8:Spt:3395.0,3238.0] || -> equal(inverse(sk_c6),sk_c8)**.
% 0.44/0.64 3400[8:MRR:3241.1,3396.0] || -> equal(inverse(sk_c4),sk_c10)**.
% 0.44/0.64 3402[8:MRR:3243.1,3396.0] || -> equal(multiply(sk_c8,sk_c10),sk_c11)**.
% 0.44/0.64 3404[8:MRR:3245.1,3396.0] || -> equal(multiply(sk_c4,sk_c10),sk_c9)**.
% 0.44/0.64 3405[8:MRR:3246.1,3396.0] || -> equal(multiply(sk_c3,sk_c11),sk_c10)**.
% 0.44/0.64 3409[8:SpR:3397.0,3176.0] || -> equal(inverse(sk_c8),sk_c6)**.
% 0.44/0.64 3428[7:SpR:3183.0,3176.0] || -> equal(inverse(sk_c11),sk_c3)**.
% 0.44/0.64 3431[7:Rew:3029.0,3428.0] || -> equal(sk_c3,sk_c9)**.
% 0.44/0.64 3437[8:Rew:3431.0,3405.0] || -> equal(multiply(sk_c9,sk_c11),sk_c10)**.
% 0.44/0.64 3439[8:Rew:3173.0,3437.0] || -> equal(identity,sk_c10)**.
% 0.44/0.64 3440[8:Rew:3439.0,3396.0] || equal(sk_c10,sk_c11)** -> .
% 0.44/0.64 3444[8:Rew:3439.0,3170.0] || -> equal(multiply(u,sk_c10),u)**.
% 0.44/0.64 3446[8:Rew:3439.0,729.0] || -> equal(multiply(inverse(sk_c10),u),u)**.
% 0.44/0.64 3458[8:Rew:3444.0,3404.0] || -> equal(sk_c4,sk_c9)**.
% 0.44/0.64 3459[8:Rew:3444.0,3402.0] || -> equal(sk_c8,sk_c11)**.
% 0.44/0.64 3460[8:Rew:3444.0,3041.0] || -> equal(sk_c9,sk_c11)**.
% 0.44/0.64 3462[8:Rew:3458.0,3400.0] || -> equal(inverse(sk_c9),sk_c10)**.
% 0.44/0.64 3463[8:Rew:3459.0,3397.0] || -> equal(inverse(sk_c6),sk_c11)**.
% 0.44/0.64 3467[8:Rew:3459.0,3409.0] || -> equal(inverse(sk_c11),sk_c6)**.
% 0.44/0.64 3488[8:Rew:3460.0,3462.0] || -> equal(inverse(sk_c11),sk_c10)**.
% 0.44/0.64 3489[8:Rew:3488.0,3467.0] || -> equal(sk_c6,sk_c10)**.
% 0.44/0.64 3491[8:Rew:3489.0,3463.0] || -> equal(inverse(sk_c10),sk_c11)**.
% 0.44/0.64 3497[8:Rew:3491.0,3446.0] || -> equal(multiply(sk_c11,u),u)**.
% 0.44/0.64 3498[8:Rew:3497.0,3081.0] || -> equal(sk_c10,sk_c11)**.
% 0.44/0.64 3499[8:MRR:3498.0,3440.0] || -> .
% 0.44/0.64 3531[7:Spt:3499.0,3087.0,3183.0] || equal(inverse(sk_c3),sk_c11)** -> .
% 0.44/0.64 3532[7:Spt:3499.0,3087.1] || -> equal(multiply(sk_c1,sk_c11),sk_c11)**.
% 0.44/0.64 3533[7:Rew:3173.0,3532.0,3220.0,3532.0] || -> equal(identity,sk_c11)**.
% 0.44/0.64 3534[7:Rew:3533.0,3170.0] || -> equal(multiply(u,sk_c11),u)**.
% 0.44/0.64 3535[7:Rew:3533.0,3211.0] || -> equal(multiply(sk_c11,sk_c9),sk_c11)**.
% 0.44/0.64 3536[7:Rew:3533.0,62.0] || -> equal(multiply(sk_c11,u),u)**.
% 0.44/0.64 3538[7:Rew:3534.0,3081.0] || -> equal(sk_c10,sk_c11)**.
% 0.44/0.64 3542[7:Rew:3536.0,3535.0] || -> equal(sk_c9,sk_c11)**.
% 0.44/0.64 3544[7:Rew:3542.0,3029.0] || -> equal(inverse(sk_c11),sk_c11)**.
% 0.44/0.64 3568[7:Rew:3534.0,3059.5,3536.0,3059.5,3538.0,3059.5,3534.0,3059.4,3538.0,3059.4,3534.0,3059.3,3538.0,3059.3,3542.0,3059.3,3538.0,3059.0] || equal(inverse(u),sk_c11)** equal(inverse(v),sk_c11)** equal(inverse(w),sk_c11)** equal(u,sk_c11) equal(v,sk_c11) equal(w,sk_c11) -> .
% 0.44/0.64 3569[7:Con:3568.1] || equal(inverse(u),sk_c11)** equal(u,sk_c11) -> .
% 0.44/0.64 3650[7:SpL:3544.0,3569.0] || equal(sk_c11,sk_c11)* equal(sk_c11,sk_c11)* -> .
% 0.44/0.64 3651[7:Obv:3650.1] || -> .
% 0.44/0.64 3652[6:Spt:3651.0,39.1,3074.0] || equal(multiply(sk_c11,sk_c2),sk_c10)** -> .
% 0.44/0.64 3653[6:Spt:3651.0,39.0] || -> equal(inverse(sk_c6),sk_c8)**.
% 0.44/0.64 3656[6:MRR:34.1,3652.0] || -> equal(inverse(sk_c4),sk_c10)**.
% 0.44/0.64 3657[6:MRR:32.1,3652.0] || -> equal(inverse(sk_c3),sk_c11)**.
% 0.44/0.64 3661[6:MRR:33.1,3652.0] || -> equal(multiply(sk_c4,sk_c10),sk_c9)**.
% 0.44/0.64 3662[6:MRR:31.1,3652.0] || -> equal(multiply(sk_c3,sk_c11),sk_c10)**.
% 0.44/0.64 3714[6:SpR:3656.0,248.0] || -> equal(multiply(sk_c4,multiply(sk_c10,u)),u)**.
% 0.44/0.64 3716[6:SpR:3656.0,3176.0] || -> equal(inverse(sk_c10),sk_c4)**.
% 0.44/0.64 3719[6:Rew:3716.0,3103.0] || -> equal(multiply(sk_c4,u),multiply(sk_c10,u))**.
% 0.44/0.64 3720[6:Rew:3719.0,3661.0] || -> equal(multiply(sk_c10,sk_c10),sk_c9)**.
% 0.44/0.64 3721[6:Rew:3719.0,3714.0] || -> equal(multiply(sk_c10,multiply(sk_c10,u)),u)**.
% 0.44/0.64 3727[6:SpR:3657.0,3176.0] || -> equal(inverse(sk_c11),sk_c3)**.
% 0.44/0.64 3730[6:Rew:3029.0,3727.0] || -> equal(sk_c3,sk_c9)**.
% 0.44/0.64 3732[6:Rew:3730.0,3662.0] || -> equal(multiply(sk_c9,sk_c11),sk_c10)**.
% 0.44/0.64 3733[6:Rew:3173.0,3732.0] || -> equal(identity,sk_c10)**.
% 0.44/0.64 3735[6:Rew:3733.0,62.0] || -> equal(multiply(sk_c10,u),u)**.
% 0.44/0.64 3736[6:Rew:3733.0,3211.0] || -> equal(multiply(sk_c11,sk_c9),sk_c10)**.
% 0.44/0.64 3737[6:Rew:3733.0,3170.0] || -> equal(multiply(u,sk_c10),u)**.
% 0.44/0.64 3741[6:Rew:3735.0,3720.0] || -> equal(sk_c9,sk_c10)**.
% 0.44/0.64 3742[6:Rew:3735.0,3721.0] || -> equal(multiply(sk_c10,u),u)**.
% 0.44/0.64 3753[6:Rew:3741.0,3029.0] || -> equal(inverse(sk_c11),sk_c10)**.
% 0.44/0.64 3767[6:Rew:3741.0,3059.3] || equal(inverse(u),sk_c10) equal(inverse(v),sk_c11) equal(inverse(w),sk_c11) equal(multiply(u,sk_c10),sk_c10)** equal(multiply(v,sk_c11),sk_c10)** equal(multiply(sk_c11,multiply(w,sk_c11)),sk_c10)** -> .
% 0.44/0.64 3773[6:Rew:3741.0,3736.0] || -> equal(multiply(sk_c11,sk_c10),sk_c10)**.
% 0.44/0.64 3774[6:Rew:3737.0,3773.0] || -> equal(sk_c10,sk_c11)**.
% 0.44/0.64 3783[6:Rew:3774.0,3753.0] || -> equal(inverse(sk_c11),sk_c11)**.
% 0.44/0.64 3785[6:Rew:3774.0,3737.0] || -> equal(multiply(u,sk_c11),u)**.
% 0.44/0.64 3800[6:Rew:3774.0,3742.0] || -> equal(multiply(sk_c11,u),u)**.
% 0.44/0.64 3836[6:Rew:3785.0,3767.5,3800.0,3767.5,3774.0,3767.5,3785.0,3767.4,3774.0,3767.4,3785.0,3767.3,3774.0,3767.3,3774.0,3767.0] || equal(inverse(u),sk_c11)** equal(inverse(v),sk_c11)** equal(inverse(w),sk_c11)** equal(u,sk_c11) equal(v,sk_c11) equal(w,sk_c11) -> .
% 0.44/0.64 3837[6:Con:3836.1] || equal(inverse(u),sk_c11)** equal(u,sk_c11) -> .
% 0.44/0.64 3908[6:SpL:3783.0,3837.0] || equal(sk_c11,sk_c11)* equal(sk_c11,sk_c11)* -> .
% 0.44/0.64 3909[6:Obv:3908.1] || -> .
% 0.44/0.64 3910[5:Spt:3909.0,59.1,3068.0] || equal(inverse(sk_c1),sk_c11)** -> .
% 0.44/0.64 3911[5:Spt:3909.0,59.0] || -> equal(inverse(sk_c6),sk_c8)**.
% 0.44/0.64 3914[5:MRR:54.1,3910.0] || -> equal(inverse(sk_c4),sk_c10)**.
% 0.44/0.64 3915[5:MRR:52.1,3910.0] || -> equal(inverse(sk_c3),sk_c11)**.
% 0.44/0.64 3919[5:MRR:53.0,3910.0] || -> equal(multiply(sk_c4,sk_c10),sk_c9)**.
% 0.44/0.64 3920[5:MRR:51.0,3910.0] || -> equal(multiply(sk_c3,sk_c11),sk_c10)**.
% 0.44/0.64 3973[5:SpR:3914.0,3176.0] || -> equal(inverse(sk_c10),sk_c4)**.
% 0.44/0.64 3976[5:Rew:3973.0,3103.0] || -> equal(multiply(sk_c4,u),multiply(sk_c10,u))**.
% 0.44/0.64 3977[5:Rew:3976.0,3919.0] || -> equal(multiply(sk_c10,sk_c10),sk_c9)**.
% 0.44/0.64 3984[5:SpR:3915.0,3176.0] || -> equal(inverse(sk_c11),sk_c3)**.
% 0.44/0.64 3987[5:Rew:3029.0,3984.0] || -> equal(sk_c3,sk_c9)**.
% 0.44/0.64 3989[5:Rew:3987.0,3920.0] || -> equal(multiply(sk_c9,sk_c11),sk_c10)**.
% 0.44/0.64 3990[5:Rew:3173.0,3989.0] || -> equal(identity,sk_c10)**.
% 0.44/0.64 3991[5:Rew:3990.0,3170.0] || -> equal(multiply(u,sk_c10),u)**.
% 0.44/0.64 3993[5:Rew:3990.0,62.0] || -> equal(multiply(sk_c10,u),u)**.
% 0.44/0.64 3997[5:Rew:3991.0,3977.0] || -> equal(sk_c9,sk_c10)**.
% 0.44/0.64 4000[5:Rew:3991.0,3059.3] || equal(inverse(u),sk_c10)** equal(inverse(v),sk_c11) equal(inverse(w),sk_c11) equal(u,sk_c9) equal(multiply(v,sk_c11),sk_c10)** equal(multiply(sk_c11,multiply(w,sk_c11)),sk_c10)** -> .
% 0.44/0.64 4002[5:Rew:3991.0,3055.0] || -> equal(sk_c9,sk_c11)**.
% 0.44/0.64 4003[5:Rew:3991.0,3041.0] || -> equal(sk_c9,sk_c11)**.
% 0.44/0.64 4005[5:Rew:3997.0,3029.0] || -> equal(inverse(sk_c11),sk_c10)**.
% 0.44/0.64 4032[5:Rew:3997.0,4002.0] || -> equal(sk_c10,sk_c11)**.
% 0.44/0.64 4042[5:Rew:4032.0,3991.0] || -> equal(multiply(u,sk_c11),u)**.
% 0.44/0.64 4045[5:Rew:4032.0,4005.0] || -> equal(inverse(sk_c11),sk_c11)**.
% 0.44/0.64 4053[5:Rew:4032.0,3993.0] || -> equal(multiply(sk_c11,u),u)**.
% 0.44/0.64 4086[5:Rew:4042.0,4000.5,4053.0,4000.5,4032.0,4000.5,4042.0,4000.4,4032.0,4000.4,4003.0,4000.3,4032.0,4000.0] || equal(inverse(u),sk_c11)** equal(inverse(v),sk_c11)** equal(inverse(w),sk_c11)** equal(u,sk_c11) equal(v,sk_c11) equal(w,sk_c11) -> .
% 0.44/0.64 4087[5:Con:4086.1] || equal(inverse(u),sk_c11)** equal(u,sk_c11) -> .
% 0.44/0.64 4172[5:SpL:4045.0,4087.0] || equal(sk_c11,sk_c11)* equal(sk_c11,sk_c11)* -> .
% 0.44/0.64 4173[5:Obv:4172.1] || -> .
% 0.44/0.64 4174[4:Spt:4173.0,28.1,3055.0] || equal(multiply(sk_c9,sk_c10),sk_c11)** -> .
% 0.44/0.64 4175[4:Spt:4173.0,28.0] || -> equal(inverse(sk_c7),sk_c6)**.
% 0.44/0.64 4178[4:MRR:22.1,4174.0] || -> equal(inverse(sk_c3),sk_c11)**.
% 0.44/0.64 4184[4:MRR:21.1,4174.0] || -> equal(multiply(sk_c3,sk_c11),sk_c10)**.
% 0.44/0.64 4241[4:SpR:4178.0,3176.0] || -> equal(inverse(sk_c11),sk_c3)**.
% 0.44/0.64 4244[4:Rew:3029.0,4241.0] || -> equal(sk_c3,sk_c9)**.
% 0.44/0.64 4246[4:Rew:4244.0,4184.0] || -> equal(multiply(sk_c9,sk_c11),sk_c10)**.
% 0.44/0.64 4247[4:Rew:3173.0,4246.0] || -> equal(identity,sk_c10)**.
% 0.44/0.64 4251[4:Rew:4247.0,3170.0] || -> equal(multiply(u,sk_c10),u)**.
% 0.44/0.64 4262[4:Rew:4251.0,3041.0] || -> equal(sk_c9,sk_c11)**.
% 0.44/0.64 4263[4:Rew:4251.0,4174.0] || equal(sk_c9,sk_c11)** -> .
% 0.44/0.64 4293[4:Rew:4262.0,4263.0] || equal(sk_c11,sk_c11)* -> .
% 0.44/0.64 4294[4:Obv:4293.0] || -> .
% 0.44/0.64 4341[3:Spt:4294.0,9.1,3041.0] || equal(multiply(sk_c11,sk_c10),sk_c9)** -> .
% 0.44/0.64 4342[3:Spt:4294.0,9.0] || -> equal(inverse(sk_c6),sk_c8)**.
% 0.44/0.64 4345[3:MRR:4.1,4341.0] || -> equal(inverse(sk_c4),sk_c10)**.
% 0.44/0.64 4346[3:MRR:2.1,4341.0] || -> equal(inverse(sk_c3),sk_c11)**.
% 0.44/0.64 4350[3:MRR:3.1,4341.0] || -> equal(multiply(sk_c4,sk_c10),sk_c9)**.
% 0.44/0.64 4351[3:MRR:1.1,4341.0] || -> equal(multiply(sk_c3,sk_c11),sk_c10)**.
% 0.44/0.64 4410[3:SpR:4346.0,3176.0] || -> equal(inverse(sk_c11),sk_c3)**.
% 0.44/0.64 4413[3:Rew:3029.0,4410.0] || -> equal(sk_c3,sk_c9)**.
% 0.44/0.64 4415[3:Rew:4413.0,4351.0] || -> equal(multiply(sk_c9,sk_c11),sk_c10)**.
% 0.44/0.64 4416[3:Rew:3173.0,4415.0] || -> equal(identity,sk_c10)**.
% 0.44/0.64 4417[3:Rew:4416.0,3170.0] || -> equal(multiply(u,sk_c10),u)**.
% 0.44/0.64 4420[3:Rew:4416.0,3173.0] || -> equal(multiply(sk_c9,sk_c11),sk_c10)**.
% 0.44/0.64 4423[3:Rew:4417.0,4350.0] || -> equal(sk_c4,sk_c9)**.
% 0.44/0.64 4425[3:Rew:4417.0,4341.0] || equal(sk_c9,sk_c11)** -> .
% 0.44/0.64 4426[3:Rew:4423.0,4345.0] || -> equal(inverse(sk_c9),sk_c10)**.
% 0.44/0.64 4443[3:Rew:3195.0,4426.0] || -> equal(sk_c10,sk_c11)**.
% 0.44/0.64 4445[3:Rew:4443.0,4417.0] || -> equal(multiply(u,sk_c11),u)**.
% 0.44/0.64 4459[3:Rew:4443.0,4420.0] || -> equal(multiply(sk_c9,sk_c11),sk_c11)**.
% 0.44/0.64 4463[3:Rew:4445.0,4459.0] || -> equal(sk_c9,sk_c11)**.
% 0.44/0.64 4466[3:MRR:4463.0,4425.0] || -> .
% 0.44/0.64 4487[2:Spt:4466.0,18.1,3029.0] || equal(inverse(sk_c11),sk_c9)** -> .
% 0.44/0.64 4488[2:Spt:4466.0,18.0] || -> equal(inverse(sk_c7),sk_c6)**.
% 0.44/0.64 4489[2:MRR:16.1,4487.0] || -> equal(inverse(sk_c5),sk_c8)**.
% 0.44/0.64 4490[2:MRR:14.1,4487.0] || -> equal(inverse(sk_c4),sk_c10)**.
% 0.44/0.64 4491[2:MRR:12.1,4487.0] || -> equal(inverse(sk_c3),sk_c11)**.
% 0.44/0.64 4492[2:MRR:19.1,4487.0] || -> equal(inverse(sk_c6),sk_c8)**.
% 0.44/0.64 4493[2:MRR:20.0,4487.0] || -> equal(multiply(sk_c7,sk_c8),sk_c6)**.
% 0.44/0.64 4494[2:MRR:17.0,4487.0] || -> equal(multiply(sk_c8,sk_c10),sk_c11)**.
% 0.44/0.64 4495[2:MRR:15.0,4487.0] || -> equal(multiply(sk_c5,sk_c8),sk_c11)**.
% 0.44/0.64 4496[2:MRR:13.0,4487.0] || -> equal(multiply(sk_c4,sk_c10),sk_c9)**.
% 0.44/0.64 4497[2:MRR:11.0,4487.0] || -> equal(multiply(sk_c3,sk_c11),sk_c10)**.
% 0.44/0.64 4501[2:SpR:4488.0,3176.0] || -> equal(inverse(sk_c6),sk_c7)**.
% 0.44/0.64 4504[2:Rew:4492.0,4501.0] || -> equal(sk_c7,sk_c8)**.
% 0.44/0.64 4505[2:Rew:4504.0,4488.0] || -> equal(inverse(sk_c8),sk_c6)**.
% 0.44/0.64 4506[2:Rew:4504.0,4493.0] || -> equal(multiply(sk_c8,sk_c8),sk_c6)**.
% 0.44/0.64 4512[2:SpR:4489.0,248.0] || -> equal(multiply(sk_c5,multiply(sk_c8,u)),u)**.
% 0.44/0.64 4514[2:SpR:4489.0,3176.0] || -> equal(inverse(sk_c8),sk_c5)**.
% 0.44/0.64 4517[2:Rew:4505.0,4514.0] || -> equal(sk_c6,sk_c5)**.
% 0.44/0.64 4519[2:Rew:4517.0,4505.0] || -> equal(inverse(sk_c8),sk_c5)**.
% 0.44/0.64 4520[2:Rew:4517.0,4506.0] || -> equal(multiply(sk_c8,sk_c8),sk_c5)**.
% 0.44/0.64 4530[2:SpR:4490.0,3176.0] || -> equal(inverse(sk_c10),sk_c4)**.
% 0.44/0.64 4533[2:SpR:4491.0,112.0] || -> equal(multiply(sk_c11,multiply(sk_c3,u)),u)**.
% 0.44/0.64 4536[2:SpR:4491.0,3176.0] || -> equal(inverse(sk_c11),sk_c3)**.
% 0.44/0.64 4539[2:Rew:4536.0,4487.0] || equal(sk_c3,sk_c9)** -> .
% 0.44/0.64 4566[2:SpR:4495.0,64.0] || -> equal(multiply(sk_c5,multiply(sk_c8,u)),multiply(sk_c11,u))**.
% 0.44/0.64 4567[2:SpR:4495.0,112.0] || -> equal(multiply(inverse(sk_c5),sk_c11),sk_c8)**.
% 0.44/0.64 4571[2:Rew:4489.0,4567.0] || -> equal(multiply(sk_c8,sk_c11),sk_c8)**.
% 0.44/0.64 4572[2:Rew:4512.0,4566.0] || -> equal(multiply(sk_c11,u),u)**.
% 0.44/0.64 4575[2:Rew:4572.0,4533.0] || -> equal(multiply(sk_c3,u),u)**.
% 0.44/0.64 4581[2:Rew:4575.0,4497.0] || -> equal(sk_c10,sk_c11)**.
% 0.44/0.65 4583[2:Rew:4581.0,4530.0] || -> equal(inverse(sk_c11),sk_c4)**.
% 0.44/0.65 4584[2:Rew:4581.0,4494.0] || -> equal(multiply(sk_c8,sk_c11),sk_c11)**.
% 0.44/0.65 4585[2:Rew:4581.0,4496.0] || -> equal(multiply(sk_c4,sk_c11),sk_c9)**.
% 0.44/0.65 4593[2:Rew:4536.0,4583.0] || -> equal(sk_c4,sk_c3)**.
% 0.44/0.65 4595[2:Rew:4571.0,4584.0] || -> equal(sk_c8,sk_c11)**.
% 0.44/0.65 4598[2:Rew:4595.0,4519.0] || -> equal(inverse(sk_c11),sk_c5)**.
% 0.44/0.65 4600[2:Rew:4595.0,4520.0] || -> equal(multiply(sk_c11,sk_c11),sk_c5)**.
% 0.44/0.65 4608[2:Rew:4536.0,4598.0] || -> equal(sk_c5,sk_c3)**.
% 0.44/0.65 4611[2:Rew:4575.0,4585.0,4593.0,4585.0] || -> equal(sk_c9,sk_c11)**.
% 0.44/0.65 4612[2:Rew:4611.0,4539.0] || equal(sk_c3,sk_c11)** -> .
% 0.44/0.65 4615[2:Rew:4572.0,4600.0,4608.0,4600.0] || -> equal(sk_c3,sk_c11)**.
% 0.44/0.65 4616[2:MRR:4615.0,4612.0] || -> .
% 0.44/0.65 % SZS output end Refutation
% 0.44/0.65 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_16 prove_this_17 prove_this_18 prove_this_19 prove_this_20 prove_this_21 prove_this_22 prove_this_25 prove_this_26 prove_this_28 prove_this_29 prove_this_31 prove_this_32 prove_this_33 prove_this_34 prove_this_35 prove_this_36 prove_this_39 prove_this_41 prove_this_42 prove_this_43 prove_this_44 prove_this_45 prove_this_46 prove_this_47 prove_this_49 prove_this_51 prove_this_52 prove_this_53 prove_this_54 prove_this_55 prove_this_56 prove_this_59 prove_this_61 left_identity left_inverse associativity
% 0.44/0.65
%------------------------------------------------------------------------------