TSTP Solution File: GRP340-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GRP340-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n015.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 11:46:55 EDT 2022
% Result : Unsatisfiable 0.44s 0.61s
% Output : Refutation 0.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP340-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 14 13:34:24 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.44/0.61
% 0.44/0.61 SPASS V 3.9
% 0.44/0.61 SPASS beiseite: Proof found.
% 0.44/0.61 % SZS status Theorem
% 0.44/0.61 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.44/0.61 SPASS derived 2118 clauses, backtracked 637 clauses, performed 12 splits and kept 1290 clauses.
% 0.44/0.61 SPASS allocated 64910 KBytes.
% 0.44/0.61 SPASS spent 0:00:00.26 on the problem.
% 0.44/0.61 0:00:00.04 for the input.
% 0.44/0.61 0:00:00.00 for the FLOTTER CNF translation.
% 0.44/0.61 0:00:00.01 for inferences.
% 0.44/0.61 0:00:00.01 for the backtracking.
% 0.44/0.61 0:00:00.18 for the reduction.
% 0.44/0.61
% 0.44/0.61
% 0.44/0.61 Here is a proof with depth 5, length 535 :
% 0.44/0.61 % SZS output start Refutation
% 0.44/0.61 1[0:Inp] || -> equal(multiply(sk_c3,sk_c11),sk_c10)** equal(multiply(sk_c10,sk_c11),sk_c9).
% 0.44/0.61 2[0:Inp] || -> equal(inverse(sk_c3),sk_c11) equal(multiply(sk_c10,sk_c11),sk_c9)**.
% 0.44/0.61 3[0:Inp] || -> equal(multiply(sk_c4,sk_c10),sk_c9)** equal(multiply(sk_c10,sk_c11),sk_c9).
% 0.44/0.61 4[0:Inp] || -> equal(inverse(sk_c4),sk_c10) equal(multiply(sk_c10,sk_c11),sk_c9)**.
% 0.44/0.61 5[0:Inp] || -> equal(multiply(sk_c5,sk_c8),sk_c11)** equal(multiply(sk_c10,sk_c11),sk_c9).
% 0.44/0.61 6[0:Inp] || -> equal(inverse(sk_c5),sk_c8) equal(multiply(sk_c10,sk_c11),sk_c9)**.
% 0.44/0.61 8[0:Inp] || -> equal(inverse(sk_c7),sk_c6) equal(multiply(sk_c10,sk_c11),sk_c9)**.
% 0.44/0.61 9[0:Inp] || -> equal(inverse(sk_c6),sk_c8) equal(multiply(sk_c10,sk_c11),sk_c9)**.
% 0.44/0.61 11[0:Inp] || -> equal(inverse(sk_c1),sk_c11) equal(multiply(sk_c3,sk_c11),sk_c10)**.
% 0.44/0.61 12[0:Inp] || -> equal(inverse(sk_c3),sk_c11) equal(inverse(sk_c1),sk_c11)**.
% 0.44/0.61 14[0:Inp] || -> equal(inverse(sk_c4),sk_c10) equal(inverse(sk_c1),sk_c11)**.
% 0.44/0.61 15[0:Inp] || -> equal(inverse(sk_c1),sk_c11) equal(multiply(sk_c5,sk_c8),sk_c11)**.
% 0.44/0.61 16[0:Inp] || -> equal(inverse(sk_c5),sk_c8) equal(inverse(sk_c1),sk_c11)**.
% 0.44/0.61 17[0:Inp] || -> equal(inverse(sk_c1),sk_c11) equal(multiply(sk_c8,sk_c10),sk_c11)**.
% 0.44/0.61 18[0:Inp] || -> equal(inverse(sk_c7),sk_c6) equal(inverse(sk_c1),sk_c11)**.
% 0.44/0.61 19[0:Inp] || -> equal(inverse(sk_c6),sk_c8) equal(inverse(sk_c1),sk_c11)**.
% 0.44/0.61 20[0:Inp] || -> equal(inverse(sk_c1),sk_c11) equal(multiply(sk_c7,sk_c8),sk_c6)**.
% 0.44/0.61 21[0:Inp] || -> equal(multiply(sk_c3,sk_c11),sk_c10) equal(multiply(sk_c1,sk_c10),sk_c11)**.
% 0.44/0.61 22[0:Inp] || -> equal(inverse(sk_c3),sk_c11) equal(multiply(sk_c1,sk_c10),sk_c11)**.
% 0.44/0.61 23[0:Inp] || -> equal(multiply(sk_c4,sk_c10),sk_c9) equal(multiply(sk_c1,sk_c10),sk_c11)**.
% 0.44/0.61 24[0:Inp] || -> equal(inverse(sk_c4),sk_c10) equal(multiply(sk_c1,sk_c10),sk_c11)**.
% 0.44/0.61 25[0:Inp] || -> equal(multiply(sk_c5,sk_c8),sk_c11) equal(multiply(sk_c1,sk_c10),sk_c11)**.
% 0.44/0.61 26[0:Inp] || -> equal(inverse(sk_c5),sk_c8) equal(multiply(sk_c1,sk_c10),sk_c11)**.
% 0.44/0.61 27[0:Inp] || -> equal(multiply(sk_c8,sk_c10),sk_c11) equal(multiply(sk_c1,sk_c10),sk_c11)**.
% 0.44/0.61 28[0:Inp] || -> equal(inverse(sk_c7),sk_c6) equal(multiply(sk_c1,sk_c10),sk_c11)**.
% 0.44/0.61 29[0:Inp] || -> equal(inverse(sk_c6),sk_c8) equal(multiply(sk_c1,sk_c10),sk_c11)**.
% 0.44/0.61 30[0:Inp] || -> equal(multiply(sk_c7,sk_c8),sk_c6) equal(multiply(sk_c1,sk_c10),sk_c11)**.
% 0.44/0.61 31[0:Inp] || -> equal(inverse(sk_c2),sk_c10) equal(multiply(sk_c3,sk_c11),sk_c10)**.
% 0.44/0.61 32[0:Inp] || -> equal(inverse(sk_c3),sk_c11) equal(inverse(sk_c2),sk_c10)**.
% 0.44/0.61 33[0:Inp] || -> equal(inverse(sk_c2),sk_c10) equal(multiply(sk_c4,sk_c10),sk_c9)**.
% 0.44/0.61 34[0:Inp] || -> equal(inverse(sk_c4),sk_c10) equal(inverse(sk_c2),sk_c10)**.
% 0.44/0.61 35[0:Inp] || -> equal(inverse(sk_c2),sk_c10) equal(multiply(sk_c5,sk_c8),sk_c11)**.
% 0.44/0.61 36[0:Inp] || -> equal(inverse(sk_c5),sk_c8) equal(inverse(sk_c2),sk_c10)**.
% 0.44/0.61 37[0:Inp] || -> equal(inverse(sk_c2),sk_c10) equal(multiply(sk_c8,sk_c10),sk_c11)**.
% 0.44/0.61 38[0:Inp] || -> equal(inverse(sk_c7),sk_c6) equal(inverse(sk_c2),sk_c10)**.
% 0.44/0.61 39[0:Inp] || -> equal(inverse(sk_c6),sk_c8) equal(inverse(sk_c2),sk_c10)**.
% 0.44/0.61 40[0:Inp] || -> equal(inverse(sk_c2),sk_c10) equal(multiply(sk_c7,sk_c8),sk_c6)**.
% 0.44/0.61 41[0:Inp] || -> equal(multiply(sk_c3,sk_c11),sk_c10) equal(multiply(sk_c2,sk_c9),sk_c10)**.
% 0.44/0.61 42[0:Inp] || -> equal(inverse(sk_c3),sk_c11) equal(multiply(sk_c2,sk_c9),sk_c10)**.
% 0.44/0.61 43[0:Inp] || -> equal(multiply(sk_c4,sk_c10),sk_c9) equal(multiply(sk_c2,sk_c9),sk_c10)**.
% 0.44/0.61 44[0:Inp] || -> equal(inverse(sk_c4),sk_c10) equal(multiply(sk_c2,sk_c9),sk_c10)**.
% 0.44/0.61 45[0:Inp] || -> equal(multiply(sk_c5,sk_c8),sk_c11) equal(multiply(sk_c2,sk_c9),sk_c10)**.
% 0.44/0.61 46[0:Inp] || -> equal(inverse(sk_c5),sk_c8) equal(multiply(sk_c2,sk_c9),sk_c10)**.
% 0.44/0.61 47[0:Inp] || -> equal(multiply(sk_c8,sk_c10),sk_c11) equal(multiply(sk_c2,sk_c9),sk_c10)**.
% 0.44/0.61 48[0:Inp] || -> equal(inverse(sk_c7),sk_c6) equal(multiply(sk_c2,sk_c9),sk_c10)**.
% 0.44/0.61 49[0:Inp] || -> equal(inverse(sk_c6),sk_c8) equal(multiply(sk_c2,sk_c9),sk_c10)**.
% 0.44/0.61 50[0:Inp] || -> equal(multiply(sk_c7,sk_c8),sk_c6) equal(multiply(sk_c2,sk_c9),sk_c10)**.
% 0.44/0.61 51[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_c10) equal(inverse(x2),sk_c11) equal(multiply(w,v),u)*+ equal(multiply(x,v),sk_c11)** equal(multiply(v,sk_c10),sk_c11)** equal(multiply(y,sk_c10),sk_c9)** equal(multiply(z,sk_c11),sk_c10)** equal(multiply(x1,sk_c9),sk_c10)** equal(multiply(x2,sk_c10),sk_c11)** equal(multiply(sk_c10,sk_c11),sk_c9)** -> .
% 0.44/0.61 52[0:Inp] || -> equal(multiply(identity,u),u)**.
% 0.44/0.61 53[0:Inp] || -> equal(multiply(inverse(u),u),identity)**.
% 0.44/0.61 54[0:Inp] || -> equal(multiply(multiply(u,v),w),multiply(u,multiply(v,w)))**.
% 0.44/0.61 55[1:Spt:51.0,51.1,51.2,51.7,51.8,51.9] || 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)** -> .
% 0.44/0.61 56[1:EqR:55.3] || 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) -> .
% 0.44/0.61 57[2:Spt:9.1] || -> equal(multiply(sk_c10,sk_c11),sk_c9)**.
% 0.44/0.61 59[2:SpL:57.0,55.3] || equal(inverse(u),sk_c11)** equal(inverse(sk_c10),u)* equal(inverse(v),sk_c11) equal(sk_c9,u) equal(multiply(v,sk_c11),sk_c11)** equal(multiply(sk_c11,sk_c10),sk_c11)** -> .
% 0.44/0.61 60[3:Spt:39.1] || -> equal(inverse(sk_c2),sk_c10)**.
% 0.44/0.61 62[4:Spt:19.1] || -> equal(inverse(sk_c1),sk_c11)**.
% 0.44/0.61 64[5:Spt:49.1] || -> equal(multiply(sk_c2,sk_c9),sk_c10)**.
% 0.44/0.61 69[6:Spt:29.1] || -> equal(multiply(sk_c1,sk_c10),sk_c11)**.
% 0.44/0.61 71[6:SpL:69.0,55.3] || equal(inverse(u),sk_c10)** equal(inverse(sk_c1),u)* equal(inverse(v),sk_c10) equal(sk_c11,u) equal(multiply(v,sk_c10),sk_c11)** equal(multiply(sk_c10,sk_c10),sk_c11)** -> .
% 0.44/0.61 72[6:Rew:62.0,71.1] || equal(inverse(u),sk_c10)** equal(sk_c11,u) equal(inverse(v),sk_c10) equal(sk_c11,u) equal(multiply(v,sk_c10),sk_c11)** equal(multiply(sk_c10,sk_c10),sk_c11)** -> .
% 0.44/0.61 73[6:Obv:72.1] || equal(inverse(u),sk_c10)** equal(inverse(v),sk_c10) equal(sk_c11,u) equal(multiply(v,sk_c10),sk_c11)** equal(multiply(sk_c10,sk_c10),sk_c11)** -> .
% 0.44/0.61 77[3:SpR:60.0,53.0] || -> equal(multiply(sk_c10,sk_c2),identity)**.
% 0.44/0.61 78[4:SpR:62.0,53.0] || -> equal(multiply(sk_c11,sk_c1),identity)**.
% 0.44/0.61 90[3:SpR:77.0,54.0] || -> equal(multiply(sk_c10,multiply(sk_c2,u)),multiply(identity,u))**.
% 0.44/0.61 91[5:SpR:64.0,54.0] || -> equal(multiply(sk_c2,multiply(sk_c9,u)),multiply(sk_c10,u))**.
% 0.44/0.61 93[0:SpR:53.0,54.0] || -> equal(multiply(inverse(u),multiply(u,v)),multiply(identity,v))**.
% 0.44/0.61 94[4:SpR:78.0,54.0] || -> equal(multiply(sk_c11,multiply(sk_c1,u)),multiply(identity,u))**.
% 0.44/0.61 96[3:Rew:52.0,90.0] || -> equal(multiply(sk_c10,multiply(sk_c2,u)),u)**.
% 0.44/0.61 97[4:Rew:52.0,94.0] || -> equal(multiply(sk_c11,multiply(sk_c1,u)),u)**.
% 0.44/0.61 98[0:Rew:52.0,93.0] || -> equal(multiply(inverse(u),multiply(u,v)),v)**.
% 0.44/0.61 102[5:SpR:64.0,96.0] || -> equal(multiply(sk_c10,sk_c10),sk_c9)**.
% 0.44/0.61 104[6:Rew:102.0,73.4] || equal(inverse(u),sk_c10)** equal(inverse(v),sk_c10) equal(sk_c11,u) equal(multiply(v,sk_c10),sk_c11)** equal(sk_c9,sk_c11) -> .
% 0.44/0.61 113[6:SpR:69.0,97.0] || -> equal(multiply(sk_c11,sk_c11),sk_c10)**.
% 0.44/0.61 121[0:SpR:98.0,98.0] || -> equal(multiply(inverse(inverse(u)),v),multiply(u,v))**.
% 0.44/0.61 124[2:SpR:57.0,98.0] || -> equal(multiply(inverse(sk_c10),sk_c9),sk_c11)**.
% 0.44/0.61 125[3:SpR:77.0,98.0] || -> equal(multiply(inverse(sk_c10),identity),sk_c2)**.
% 0.44/0.61 127[5:SpR:102.0,98.0] || -> equal(multiply(inverse(sk_c10),sk_c9),sk_c10)**.
% 0.44/0.61 129[0:SpR:52.0,98.0] || -> equal(multiply(inverse(identity),u),u)**.
% 0.44/0.61 130[0:SpR:53.0,98.0] || -> equal(multiply(inverse(inverse(u)),identity),u)**.
% 0.44/0.61 131[4:SpR:78.0,98.0] || -> equal(multiply(inverse(sk_c11),identity),sk_c1)**.
% 0.44/0.61 132[6:SpR:113.0,98.0] || -> equal(multiply(inverse(sk_c11),sk_c10),sk_c11)**.
% 0.44/0.61 139[5:Rew:124.0,127.0] || -> equal(sk_c11,sk_c10)**.
% 0.44/0.61 142[5:Rew:139.0,62.0] || -> equal(inverse(sk_c1),sk_c10)**.
% 0.44/0.61 144[5:Rew:139.0,78.0] || -> equal(multiply(sk_c10,sk_c1),identity)**.
% 0.44/0.61 146[6:Rew:139.0,113.0] || -> equal(multiply(sk_c10,sk_c10),sk_c10)**.
% 0.44/0.61 151[6:Rew:139.0,104.3] || equal(inverse(u),sk_c10)** equal(inverse(v),sk_c10) equal(sk_c11,u) equal(multiply(v,sk_c10),sk_c10)** equal(sk_c9,sk_c11) -> .
% 0.44/0.61 164[6:Rew:102.0,146.0] || -> equal(sk_c9,sk_c10)**.
% 0.44/0.61 171[5:Rew:125.0,131.0,139.0,131.0] || -> equal(sk_c2,sk_c1)**.
% 0.44/0.61 177[6:Rew:139.0,132.0] || -> equal(multiply(inverse(sk_c10),sk_c10),sk_c10)**.
% 0.44/0.61 178[6:Rew:53.0,177.0] || -> equal(identity,sk_c10)**.
% 0.44/0.61 179[6:Rew:178.0,52.0] || -> equal(multiply(sk_c10,u),u)**.
% 0.44/0.61 181[6:Rew:178.0,144.0] || -> equal(multiply(sk_c10,sk_c1),sk_c10)**.
% 0.44/0.61 183[6:Rew:179.0,181.0] || -> equal(sk_c1,sk_c10)**.
% 0.44/0.61 184[6:Rew:183.0,142.0] || -> equal(inverse(sk_c10),sk_c10)**.
% 0.44/0.61 190[6:Rew:178.0,130.0] || -> equal(multiply(inverse(inverse(u)),sk_c10),u)**.
% 0.44/0.61 197[6:Rew:121.0,190.0] || -> equal(multiply(u,sk_c10),u)**.
% 0.44/0.61 202[6:Rew:164.0,151.4,139.0,151.4,197.0,151.3,139.0,151.2] || equal(inverse(u),sk_c10)** equal(inverse(v),sk_c10)** equal(sk_c10,u) equal(v,sk_c10) equal(sk_c10,sk_c10) -> .
% 0.44/0.61 203[6:Obv:202.4] || equal(inverse(u),sk_c10)**+ equal(inverse(v),sk_c10)** equal(sk_c10,u) equal(v,sk_c10) -> .
% 0.44/0.61 509[6:SpL:184.0,203.0] || equal(sk_c10,sk_c10) equal(inverse(u),sk_c10)** equal(sk_c10,sk_c10) equal(u,sk_c10) -> .
% 0.44/0.61 512[6:Obv:509.2] || equal(inverse(u),sk_c10)** equal(u,sk_c10) -> .
% 0.44/0.61 514[6:SpL:184.0,512.0] || equal(sk_c10,sk_c10)* equal(sk_c10,sk_c10)* -> .
% 0.44/0.61 517[6:Obv:514.1] || -> .
% 0.44/0.61 518[6:Spt:517.0,29.1,69.0] || equal(multiply(sk_c1,sk_c10),sk_c11)** -> .
% 0.44/0.61 519[6:Spt:517.0,29.0] || -> equal(inverse(sk_c6),sk_c8)**.
% 0.44/0.61 522[6:Rew:139.0,518.0] || equal(multiply(sk_c1,sk_c10),sk_c10)** -> .
% 0.44/0.61 529[5:Rew:139.0,28.1] || -> equal(inverse(sk_c7),sk_c6) equal(multiply(sk_c1,sk_c10),sk_c10)**.
% 0.44/0.61 530[6:MRR:529.1,522.0] || -> equal(inverse(sk_c7),sk_c6)**.
% 0.44/0.61 531[5:Rew:139.0,26.1] || -> equal(inverse(sk_c5),sk_c8) equal(multiply(sk_c1,sk_c10),sk_c10)**.
% 0.44/0.61 532[6:MRR:531.1,522.0] || -> equal(inverse(sk_c5),sk_c8)**.
% 0.44/0.61 537[5:Rew:171.0,91.0] || -> equal(multiply(sk_c1,multiply(sk_c9,u)),multiply(sk_c10,u))**.
% 0.44/0.61 538[0:Rew:121.0,130.0] || -> equal(multiply(u,identity),u)**.
% 0.44/0.61 540[5:Rew:139.0,30.1] || -> equal(multiply(sk_c7,sk_c8),sk_c6) equal(multiply(sk_c1,sk_c10),sk_c10)**.
% 0.44/0.61 541[6:MRR:540.1,522.0] || -> equal(multiply(sk_c7,sk_c8),sk_c6)**.
% 0.44/0.61 542[5:Rew:139.0,27.1,139.0,27.0] || -> equal(multiply(sk_c8,sk_c10),sk_c10) equal(multiply(sk_c1,sk_c10),sk_c10)**.
% 0.44/0.61 543[6:MRR:542.1,522.0] || -> equal(multiply(sk_c8,sk_c10),sk_c10)**.
% 0.44/0.61 544[5:Rew:139.0,25.1,139.0,25.0] || -> equal(multiply(sk_c5,sk_c8),sk_c10) equal(multiply(sk_c1,sk_c10),sk_c10)**.
% 0.44/0.61 545[6:MRR:544.1,522.0] || -> equal(multiply(sk_c5,sk_c8),sk_c10)**.
% 0.44/0.61 575[6:SpR:519.0,98.0] || -> equal(multiply(sk_c8,multiply(sk_c6,u)),u)**.
% 0.44/0.61 597[6:SpR:541.0,98.0] || -> equal(multiply(inverse(sk_c7),sk_c6),sk_c8)**.
% 0.44/0.61 599[6:Rew:530.0,597.0] || -> equal(multiply(sk_c6,sk_c6),sk_c8)**.
% 0.44/0.61 601[5:SpR:144.0,98.0] || -> equal(multiply(inverse(sk_c10),identity),sk_c1)**.
% 0.44/0.61 603[5:Rew:538.0,601.0] || -> equal(inverse(sk_c10),sk_c1)**.
% 0.44/0.61 608[5:SpR:603.0,98.0] || -> equal(multiply(sk_c1,multiply(sk_c10,u)),u)**.
% 0.44/0.61 614[6:SpR:545.0,98.0] || -> equal(multiply(inverse(sk_c5),sk_c10),sk_c8)**.
% 0.44/0.61 616[6:Rew:543.0,614.0,532.0,614.0] || -> equal(sk_c8,sk_c10)**.
% 0.44/0.61 617[6:Rew:616.0,519.0] || -> equal(inverse(sk_c6),sk_c10)**.
% 0.44/0.61 620[6:Rew:616.0,543.0] || -> equal(multiply(sk_c10,sk_c10),sk_c10)**.
% 0.44/0.61 622[6:Rew:616.0,575.0] || -> equal(multiply(sk_c10,multiply(sk_c6,u)),u)**.
% 0.44/0.61 624[6:Rew:616.0,599.0] || -> equal(multiply(sk_c6,sk_c6),sk_c10)**.
% 0.44/0.61 628[6:Rew:102.0,620.0] || -> equal(sk_c9,sk_c10)**.
% 0.44/0.61 632[6:Rew:628.0,537.0] || -> equal(multiply(sk_c1,multiply(sk_c10,u)),multiply(sk_c10,u))**.
% 0.44/0.61 640[6:Rew:608.0,632.0] || -> equal(multiply(sk_c10,u),u)**.
% 0.44/0.61 641[6:Rew:640.0,144.0] || -> equal(identity,sk_c1)**.
% 0.44/0.61 643[6:Rew:640.0,622.0] || -> equal(multiply(sk_c6,u),u)**.
% 0.44/0.61 654[6:Rew:641.0,538.0] || -> equal(multiply(u,sk_c1),u)**.
% 0.44/0.61 656[6:Rew:643.0,624.0] || -> equal(sk_c6,sk_c10)**.
% 0.44/0.61 659[6:Rew:656.0,617.0] || -> equal(inverse(sk_c10),sk_c10)**.
% 0.44/0.61 662[6:Rew:603.0,659.0] || -> equal(sk_c1,sk_c10)**.
% 0.44/0.61 666[6:Rew:662.0,522.0] || equal(multiply(sk_c10,sk_c10),sk_c10)** -> .
% 0.44/0.61 672[6:Rew:662.0,654.0] || -> equal(multiply(u,sk_c10),u)**.
% 0.44/0.61 679[6:Rew:672.0,666.0] || equal(sk_c10,sk_c10)* -> .
% 0.44/0.61 680[6:Obv:679.0] || -> .
% 0.44/0.61 689[5:Spt:680.0,49.1,64.0] || equal(multiply(sk_c2,sk_c9),sk_c10)** -> .
% 0.44/0.61 690[5:Spt:680.0,49.0] || -> equal(inverse(sk_c6),sk_c8)**.
% 0.44/0.61 691[4:Rew:538.0,131.0] || -> equal(inverse(sk_c11),sk_c1)**.
% 0.44/0.61 692[3:Rew:538.0,125.0] || -> equal(inverse(sk_c10),sk_c2)**.
% 0.44/0.61 693[3:Rew:692.0,124.0] || -> equal(multiply(sk_c2,sk_c9),sk_c11)**.
% 0.44/0.61 694[5:Rew:693.0,689.0] || equal(sk_c11,sk_c10)** -> .
% 0.44/0.61 697[3:Rew:693.0,48.1] || -> equal(inverse(sk_c7),sk_c6)** equal(sk_c11,sk_c10).
% 0.44/0.61 698[5:MRR:697.1,694.0] || -> equal(inverse(sk_c7),sk_c6)**.
% 0.44/0.61 699[3:Rew:693.0,46.1] || -> equal(inverse(sk_c5),sk_c8)** equal(sk_c11,sk_c10).
% 0.44/0.61 700[5:MRR:699.1,694.0] || -> equal(inverse(sk_c5),sk_c8)**.
% 0.44/0.61 703[3:Rew:693.0,42.1] || -> equal(inverse(sk_c3),sk_c11)** equal(sk_c11,sk_c10).
% 0.44/0.61 704[5:MRR:703.1,694.0] || -> equal(inverse(sk_c3),sk_c11)**.
% 0.44/0.61 705[3:Rew:693.0,50.1] || -> equal(multiply(sk_c7,sk_c8),sk_c6)** equal(sk_c11,sk_c10).
% 0.44/0.61 706[5:MRR:705.1,694.0] || -> equal(multiply(sk_c7,sk_c8),sk_c6)**.
% 0.44/0.61 707[3:Rew:693.0,47.1] || -> equal(multiply(sk_c8,sk_c10),sk_c11)** equal(sk_c11,sk_c10).
% 0.44/0.61 708[5:MRR:707.1,694.0] || -> equal(multiply(sk_c8,sk_c10),sk_c11)**.
% 0.44/0.61 709[3:Rew:693.0,45.1] || -> equal(multiply(sk_c5,sk_c8),sk_c11)** equal(sk_c11,sk_c10).
% 0.44/0.61 710[5:MRR:709.1,694.0] || -> equal(multiply(sk_c5,sk_c8),sk_c11)**.
% 0.44/0.61 713[3:Rew:693.0,41.1] || -> equal(multiply(sk_c3,sk_c11),sk_c10)** equal(sk_c11,sk_c10).
% 0.44/0.61 714[5:MRR:713.1,694.0] || -> equal(multiply(sk_c3,sk_c11),sk_c10)**.
% 0.44/0.61 733[5:SpR:700.0,98.0] || -> equal(multiply(sk_c8,multiply(sk_c5,u)),u)**.
% 0.44/0.61 745[5:SpR:706.0,98.0] || -> equal(multiply(inverse(sk_c7),sk_c6),sk_c8)**.
% 0.44/0.61 747[5:Rew:698.0,745.0] || -> equal(multiply(sk_c6,sk_c6),sk_c8)**.
% 0.44/0.61 761[5:SpR:708.0,54.0] || -> equal(multiply(sk_c8,multiply(sk_c10,u)),multiply(sk_c11,u))**.
% 0.44/0.61 762[5:SpR:708.0,98.0] || -> equal(multiply(inverse(sk_c8),sk_c11),sk_c10)**.
% 0.44/0.61 765[5:SpR:710.0,98.0] || -> equal(multiply(inverse(sk_c5),sk_c11),sk_c8)**.
% 0.44/0.61 767[5:Rew:700.0,765.0] || -> equal(multiply(sk_c8,sk_c11),sk_c8)**.
% 0.44/0.61 779[5:SpR:747.0,98.0] || -> equal(multiply(inverse(sk_c6),sk_c8),sk_c6)**.
% 0.44/0.61 781[5:Rew:690.0,779.0] || -> equal(multiply(sk_c8,sk_c8),sk_c6)**.
% 0.44/0.61 783[5:SpR:767.0,98.0] || -> equal(multiply(inverse(sk_c8),sk_c8),sk_c11)**.
% 0.44/0.61 785[5:Rew:53.0,783.0] || -> equal(identity,sk_c11)**.
% 0.44/0.61 788[5:Rew:785.0,538.0] || -> equal(multiply(u,sk_c11),u)**.
% 0.44/0.61 789[5:Rew:785.0,52.0] || -> equal(multiply(sk_c11,u),u)**.
% 0.44/0.61 790[5:Rew:785.0,129.0] || -> equal(multiply(inverse(sk_c11),u),u)**.
% 0.44/0.61 796[5:Rew:788.0,714.0] || -> equal(sk_c3,sk_c10)**.
% 0.44/0.61 799[5:Rew:788.0,762.0] || -> equal(inverse(sk_c8),sk_c10)**.
% 0.44/0.61 800[5:Rew:796.0,704.0] || -> equal(inverse(sk_c10),sk_c11)**.
% 0.44/0.61 809[5:Rew:692.0,800.0] || -> equal(sk_c2,sk_c11)**.
% 0.44/0.61 810[5:Rew:809.0,60.0] || -> equal(inverse(sk_c11),sk_c10)**.
% 0.44/0.61 816[5:Rew:691.0,810.0] || -> equal(sk_c1,sk_c10)**.
% 0.44/0.61 818[5:Rew:816.0,691.0] || -> equal(inverse(sk_c11),sk_c10)**.
% 0.44/0.61 824[5:Rew:789.0,761.0] || -> equal(multiply(sk_c8,multiply(sk_c10,u)),u)**.
% 0.44/0.61 833[5:Rew:818.0,790.0] || -> equal(multiply(sk_c10,u),u)**.
% 0.44/0.61 840[5:Rew:833.0,824.0] || -> equal(multiply(sk_c8,u),u)**.
% 0.44/0.61 842[5:Rew:840.0,781.0] || -> equal(sk_c6,sk_c8)**.
% 0.44/0.61 843[5:Rew:840.0,733.0] || -> equal(multiply(sk_c5,u),u)**.
% 0.44/0.61 848[5:Rew:842.0,690.0] || -> equal(inverse(sk_c8),sk_c8)**.
% 0.44/0.61 853[5:Rew:799.0,848.0] || -> equal(sk_c8,sk_c10)**.
% 0.44/0.61 855[5:Rew:853.0,710.0] || -> equal(multiply(sk_c5,sk_c10),sk_c11)**.
% 0.44/0.61 865[5:Rew:843.0,855.0] || -> equal(sk_c11,sk_c10)**.
% 0.44/0.61 866[5:MRR:865.0,694.0] || -> .
% 0.44/0.61 882[4:Spt:866.0,19.1,62.0] || equal(inverse(sk_c1),sk_c11)** -> .
% 0.44/0.61 883[4:Spt:866.0,19.0] || -> equal(inverse(sk_c6),sk_c8)**.
% 0.44/0.61 885[3:Rew:699.1,16.1] || -> equal(inverse(sk_c5),sk_c8) equal(inverse(sk_c1),sk_c10)**.
% 0.44/0.61 897[3:Rew:707.1,17.0] || -> equal(inverse(sk_c1),sk_c10) equal(multiply(sk_c8,sk_c10),sk_c11)**.
% 0.44/0.61 898[3:Rew:709.1,15.0] || -> equal(inverse(sk_c1),sk_c10) equal(multiply(sk_c5,sk_c8),sk_c11)**.
% 0.44/0.61 941[0:SpR:53.0,98.0] || -> equal(multiply(inverse(inverse(u)),identity),u)**.
% 0.44/0.61 942[0:SpR:53.0,538.0] || -> equal(inverse(identity),identity)**.
% 0.44/0.61 944[4:SpR:883.0,53.0] || -> equal(multiply(sk_c8,sk_c6),identity)**.
% 0.44/0.61 950[0:Rew:538.0,941.0] || -> equal(inverse(inverse(u)),u)**.
% 0.44/0.61 959[5:Spt:697.1] || -> equal(sk_c11,sk_c10)**.
% 0.44/0.61 960[5:Rew:959.0,882.0] || equal(inverse(sk_c1),sk_c10)** -> .
% 0.44/0.61 964[5:Rew:959.0,56.3] || equal(inverse(multiply(u,v)),v)** equal(multiply(u,v),inverse(u)) equal(inverse(w),v) equal(multiply(w,v),sk_c10)** equal(multiply(v,sk_c10),sk_c11) -> .
% 0.44/0.61 970[5:Rew:959.0,897.1] || -> equal(inverse(sk_c1),sk_c10) equal(multiply(sk_c8,sk_c10),sk_c10)**.
% 0.44/0.61 972[5:Rew:959.0,898.1] || -> equal(inverse(sk_c1),sk_c10) equal(multiply(sk_c5,sk_c8),sk_c10)**.
% 0.44/0.61 981[5:MRR:885.1,960.0] || -> equal(inverse(sk_c5),sk_c8)**.
% 0.44/0.61 986[5:MRR:970.0,960.0] || -> equal(multiply(sk_c8,sk_c10),sk_c10)**.
% 0.44/0.61 987[5:MRR:972.0,960.0] || -> equal(multiply(sk_c5,sk_c8),sk_c10)**.
% 0.44/0.61 992[5:Rew:959.0,964.4] || equal(inverse(multiply(u,v)),v)** equal(multiply(u,v),inverse(u)) equal(inverse(w),v) equal(multiply(w,v),sk_c10)** equal(multiply(v,sk_c10),sk_c10) -> .
% 0.44/0.61 1010[4:SpR:944.0,98.0] || -> equal(multiply(inverse(sk_c8),identity),sk_c6)**.
% 0.44/0.61 1012[4:Rew:538.0,1010.0] || -> equal(inverse(sk_c8),sk_c6)**.
% 0.44/0.61 1015[4:SpR:1012.0,53.0] || -> equal(multiply(sk_c6,sk_c8),identity)**.
% 0.44/0.61 1039[5:SpR:986.0,98.0] || -> equal(multiply(inverse(sk_c8),sk_c10),sk_c10)**.
% 0.44/0.61 1041[5:Rew:1012.0,1039.0] || -> equal(multiply(sk_c6,sk_c10),sk_c10)**.
% 0.44/0.61 1043[5:SpR:987.0,98.0] || -> equal(multiply(inverse(sk_c5),sk_c10),sk_c8)**.
% 0.44/0.61 1045[5:Rew:986.0,1043.0,981.0,1043.0] || -> equal(sk_c8,sk_c10)**.
% 0.44/0.61 1046[5:Rew:1045.0,883.0] || -> equal(inverse(sk_c6),sk_c10)**.
% 0.44/0.61 1049[5:Rew:1045.0,1012.0] || -> equal(inverse(sk_c10),sk_c6)**.
% 0.44/0.61 1056[5:Rew:1045.0,1015.0] || -> equal(multiply(sk_c6,sk_c10),identity)**.
% 0.44/0.61 1061[5:Rew:692.0,1049.0] || -> equal(sk_c2,sk_c6)**.
% 0.44/0.61 1062[5:Rew:1061.0,692.0] || -> equal(inverse(sk_c10),sk_c6)**.
% 0.44/0.61 1078[5:Rew:1041.0,1056.0] || -> equal(identity,sk_c10)**.
% 0.44/0.61 1080[5:Rew:1078.0,538.0] || -> equal(multiply(u,sk_c10),u)**.
% 0.44/0.61 1081[5:Rew:1078.0,53.0] || -> equal(multiply(inverse(u),u),sk_c10)**.
% 0.44/0.61 1082[5:Rew:1078.0,942.0] || -> equal(inverse(sk_c10),sk_c10)**.
% 0.44/0.61 1089[5:Rew:1062.0,1082.0] || -> equal(sk_c6,sk_c10)**.
% 0.44/0.61 1093[5:Rew:1089.0,1046.0] || -> equal(inverse(sk_c10),sk_c10)**.
% 0.44/0.61 1108[5:Rew:1080.0,992.4] || equal(inverse(multiply(u,v)),v)**+ equal(multiply(u,v),inverse(u)) equal(inverse(w),v) equal(multiply(w,v),sk_c10)** equal(v,sk_c10) -> .
% 0.44/0.61 1153[0:SpR:950.0,98.0] || -> equal(multiply(u,multiply(inverse(u),v)),v)**.
% 0.44/0.61 1169[5:SpR:950.0,1081.0] || -> equal(multiply(u,inverse(u)),sk_c10)**.
% 0.44/0.61 1494[5:SpL:1081.0,1108.0] || equal(inverse(sk_c10),u) equal(multiply(inverse(u),u),inverse(inverse(u)))** equal(inverse(v),u) equal(multiply(v,u),sk_c10)** equal(u,sk_c10) -> .
% 0.44/0.61 1503[5:Rew:1081.0,1494.1,950.0,1494.1,1093.0,1494.0] || equal(sk_c10,u) equal(sk_c10,u) equal(inverse(v),u) equal(multiply(v,u),sk_c10)** equal(u,sk_c10) -> .
% 0.44/0.61 1504[5:Obv:1503.1] || equal(inverse(u),v) equal(multiply(u,v),sk_c10)** equal(v,sk_c10) -> .
% 0.44/0.61 1811[5:SpL:1169.0,1504.1] || equal(inverse(u),inverse(u))* equal(sk_c10,sk_c10) equal(inverse(u),sk_c10) -> .
% 0.44/0.61 1833[5:Obv:1811.1] || equal(inverse(u),sk_c10)** -> .
% 0.44/0.61 1834[5:UnC:1833.0,1093.0] || -> .
% 0.44/0.61 1840[5:Spt:1834.0,697.1,959.0] || equal(sk_c11,sk_c10)** -> .
% 0.44/0.61 1841[5:Spt:1834.0,697.0] || -> equal(inverse(sk_c7),sk_c6)**.
% 0.44/0.61 1842[5:MRR:699.1,1840.0] || -> equal(inverse(sk_c5),sk_c8)**.
% 0.44/0.61 1844[5:MRR:703.1,1840.0] || -> equal(inverse(sk_c3),sk_c11)**.
% 0.44/0.61 1847[5:MRR:709.1,1840.0] || -> equal(multiply(sk_c5,sk_c8),sk_c11)**.
% 0.44/0.61 1849[5:MRR:713.1,1840.0] || -> equal(multiply(sk_c3,sk_c11),sk_c10)**.
% 0.44/0.61 1883[5:SpR:1842.0,950.0] || -> equal(inverse(sk_c8),sk_c5)**.
% 0.44/0.61 1886[5:Rew:1012.0,1883.0] || -> equal(sk_c6,sk_c5)**.
% 0.44/0.61 1890[5:Rew:1886.0,1015.0] || -> equal(multiply(sk_c5,sk_c8),identity)**.
% 0.44/0.61 1894[5:Rew:1847.0,1890.0] || -> equal(identity,sk_c11)**.
% 0.44/0.61 1897[5:Rew:1894.0,77.0] || -> equal(multiply(sk_c10,sk_c2),sk_c11)**.
% 0.44/0.61 1898[5:Rew:1894.0,538.0] || -> equal(multiply(u,sk_c11),u)**.
% 0.44/0.61 1905[5:Rew:1898.0,1849.0] || -> equal(sk_c3,sk_c10)**.
% 0.44/0.61 1907[5:Rew:1905.0,1844.0] || -> equal(inverse(sk_c10),sk_c11)**.
% 0.44/0.61 1912[5:Rew:692.0,1907.0] || -> equal(sk_c2,sk_c11)**.
% 0.44/0.61 1918[5:Rew:1912.0,1897.0] || -> equal(multiply(sk_c10,sk_c11),sk_c11)**.
% 0.44/0.61 1925[5:Rew:1898.0,1918.0] || -> equal(sk_c11,sk_c10)**.
% 0.44/0.61 1926[5:MRR:1925.0,1840.0] || -> .
% 0.44/0.61 1934[3:Spt:1926.0,39.1,60.0] || equal(inverse(sk_c2),sk_c10)** -> .
% 0.44/0.61 1935[3:Spt:1926.0,39.0] || -> equal(inverse(sk_c6),sk_c8)**.
% 0.44/0.61 1936[3:MRR:38.1,1934.0] || -> equal(inverse(sk_c7),sk_c6)**.
% 0.44/0.61 1937[3:MRR:36.1,1934.0] || -> equal(inverse(sk_c5),sk_c8)**.
% 0.44/0.61 1938[3:MRR:34.1,1934.0] || -> equal(inverse(sk_c4),sk_c10)**.
% 0.44/0.61 1939[3:MRR:32.1,1934.0] || -> equal(inverse(sk_c3),sk_c11)**.
% 0.44/0.61 1940[3:MRR:40.0,1934.0] || -> equal(multiply(sk_c7,sk_c8),sk_c6)**.
% 0.44/0.61 1941[3:MRR:37.0,1934.0] || -> equal(multiply(sk_c8,sk_c10),sk_c11)**.
% 0.44/0.61 1942[3:MRR:35.0,1934.0] || -> equal(multiply(sk_c5,sk_c8),sk_c11)**.
% 0.44/0.61 1944[3:MRR:31.0,1934.0] || -> equal(multiply(sk_c3,sk_c11),sk_c10)**.
% 0.44/0.61 1946[3:SpR:1935.0,950.0] || -> equal(inverse(sk_c8),sk_c6)**.
% 0.44/0.61 1956[3:SpR:1936.0,950.0] || -> equal(inverse(sk_c6),sk_c7)**.
% 0.44/0.61 1959[3:Rew:1935.0,1956.0] || -> equal(sk_c7,sk_c8)**.
% 0.44/0.61 1961[3:Rew:1959.0,1940.0] || -> equal(multiply(sk_c8,sk_c8),sk_c6)**.
% 0.44/0.61 1966[3:SpR:1937.0,950.0] || -> equal(inverse(sk_c8),sk_c5)**.
% 0.44/0.61 1967[3:SpR:1937.0,1153.0] || -> equal(multiply(sk_c5,multiply(sk_c8,u)),u)**.
% 0.44/0.61 1969[3:Rew:1946.0,1966.0] || -> equal(sk_c6,sk_c5)**.
% 0.44/0.61 1971[3:Rew:1969.0,1946.0] || -> equal(inverse(sk_c8),sk_c5)**.
% 0.44/0.61 1974[3:Rew:1969.0,1961.0] || -> equal(multiply(sk_c8,sk_c8),sk_c5)**.
% 0.44/0.61 1977[3:SpR:1938.0,950.0] || -> equal(inverse(sk_c10),sk_c4)**.
% 0.44/0.61 1980[3:Rew:1977.0,124.0] || -> equal(multiply(sk_c4,sk_c9),sk_c11)**.
% 0.44/0.61 1981[3:Rew:1977.0,59.1] || equal(inverse(u),sk_c11)** equal(sk_c4,u) equal(inverse(v),sk_c11) equal(sk_c9,u) equal(multiply(v,sk_c11),sk_c11)** equal(multiply(sk_c11,sk_c10),sk_c11)** -> .
% 0.44/0.61 1983[3:SpR:1939.0,950.0] || -> equal(inverse(sk_c11),sk_c3)**.
% 0.44/0.61 1984[3:SpR:1939.0,1153.0] || -> equal(multiply(sk_c3,multiply(sk_c11,u)),u)**.
% 0.44/0.61 2006[3:SpR:1942.0,54.0] || -> equal(multiply(sk_c5,multiply(sk_c8,u)),multiply(sk_c11,u))**.
% 0.44/0.61 2007[3:SpR:1942.0,98.0] || -> equal(multiply(inverse(sk_c5),sk_c11),sk_c8)**.
% 0.44/0.61 2009[3:Rew:1937.0,2007.0] || -> equal(multiply(sk_c8,sk_c11),sk_c8)**.
% 0.44/0.61 2010[3:Rew:1967.0,2006.0] || -> equal(multiply(sk_c11,u),u)**.
% 0.44/0.61 2011[3:Rew:2010.0,1981.5] || equal(inverse(u),sk_c11)** equal(sk_c4,u) equal(inverse(v),sk_c11) equal(sk_c9,u) equal(multiply(v,sk_c11),sk_c11)** equal(sk_c11,sk_c10) -> .
% 0.44/0.61 2013[3:Rew:2010.0,1984.0] || -> equal(multiply(sk_c3,u),u)**.
% 0.44/0.61 2016[3:Rew:2013.0,1944.0] || -> equal(sk_c11,sk_c10)**.
% 0.44/0.61 2017[3:Rew:2016.0,1939.0] || -> equal(inverse(sk_c3),sk_c10)**.
% 0.44/0.61 2018[3:Rew:2016.0,1983.0] || -> equal(inverse(sk_c10),sk_c3)**.
% 0.44/0.61 2020[3:Rew:2016.0,1941.0] || -> equal(multiply(sk_c8,sk_c10),sk_c10)**.
% 0.44/0.61 2027[3:Rew:2016.0,1980.0] || -> equal(multiply(sk_c4,sk_c9),sk_c10)**.
% 0.44/0.61 2029[3:Rew:2016.0,2009.0] || -> equal(multiply(sk_c8,sk_c10),sk_c8)**.
% 0.44/0.61 2030[3:Rew:2016.0,2010.0] || -> equal(multiply(sk_c10,u),u)**.
% 0.44/0.61 2031[3:Rew:1977.0,2018.0] || -> equal(sk_c4,sk_c3)**.
% 0.44/0.61 2033[3:Rew:2031.0,1977.0] || -> equal(inverse(sk_c10),sk_c3)**.
% 0.44/0.61 2037[3:Rew:2013.0,2027.0,2031.0,2027.0] || -> equal(sk_c9,sk_c10)**.
% 0.44/0.61 2039[3:Rew:2020.0,2029.0] || -> equal(sk_c8,sk_c10)**.
% 0.44/0.61 2042[3:Rew:2039.0,1971.0] || -> equal(inverse(sk_c10),sk_c5)**.
% 0.44/0.61 2043[3:Rew:2039.0,1974.0] || -> equal(multiply(sk_c10,sk_c10),sk_c5)**.
% 0.44/0.61 2048[3:Rew:2033.0,2042.0] || -> equal(sk_c5,sk_c3)**.
% 0.44/0.61 2053[3:Rew:2030.0,2043.0,2048.0,2043.0] || -> equal(sk_c3,sk_c10)**.
% 0.44/0.61 2055[3:Rew:2053.0,2017.0] || -> equal(inverse(sk_c10),sk_c10)**.
% 0.44/0.61 2056[3:Rew:2053.0,2031.0] || -> equal(sk_c4,sk_c10)**.
% 0.44/0.61 2068[3:Rew:2016.0,2011.5,2016.0,2011.4,2037.0,2011.3,2016.0,2011.2,2056.0,2011.1,2016.0,2011.0] || equal(inverse(u),sk_c10)** equal(sk_c10,u) equal(inverse(v),sk_c10) equal(sk_c10,u) equal(multiply(v,sk_c10),sk_c10)** equal(sk_c10,sk_c10) -> .
% 0.44/0.61 2069[3:Obv:2068.5] || equal(inverse(u),sk_c10)** equal(inverse(v),sk_c10) equal(sk_c10,u) equal(multiply(v,sk_c10),sk_c10)** -> .
% 0.44/0.61 2099[0:SpR:538.0,1153.0] || -> equal(multiply(u,inverse(u)),identity)**.
% 0.44/0.61 2105[3:SpR:2030.0,538.0] || -> equal(identity,sk_c10)**.
% 0.44/0.61 2110[3:Rew:2105.0,538.0] || -> equal(multiply(u,sk_c10),u)**.
% 0.44/0.61 2118[3:Rew:2110.0,2069.3] || equal(inverse(u),sk_c10)**+ equal(inverse(v),sk_c10)** equal(sk_c10,u) equal(v,sk_c10) -> .
% 0.44/0.61 2320[3:SpL:2055.0,2118.0] || equal(sk_c10,sk_c10) equal(inverse(u),sk_c10)** equal(sk_c10,sk_c10) equal(u,sk_c10) -> .
% 0.44/0.61 2322[3:Obv:2320.2] || equal(inverse(u),sk_c10)** equal(u,sk_c10) -> .
% 0.44/0.61 2325[3:SpL:2055.0,2322.0] || equal(sk_c10,sk_c10)* equal(sk_c10,sk_c10)* -> .
% 0.44/0.61 2327[3:Obv:2325.1] || -> .
% 0.44/0.61 2328[2:Spt:2327.0,9.1,57.0] || equal(multiply(sk_c10,sk_c11),sk_c9)** -> .
% 0.44/0.61 2329[2:Spt:2327.0,9.0] || -> equal(inverse(sk_c6),sk_c8)**.
% 0.44/0.61 2331[2:MRR:6.1,2328.0] || -> equal(inverse(sk_c5),sk_c8)**.
% 0.44/0.61 2332[2:MRR:4.1,2328.0] || -> equal(inverse(sk_c4),sk_c10)**.
% 0.44/0.61 2333[2:MRR:2.1,2328.0] || -> equal(inverse(sk_c3),sk_c11)**.
% 0.44/0.61 2336[2:MRR:5.1,2328.0] || -> equal(multiply(sk_c5,sk_c8),sk_c11)**.
% 0.44/0.61 2337[2:MRR:3.1,2328.0] || -> equal(multiply(sk_c4,sk_c10),sk_c9)**.
% 0.44/0.61 2338[2:MRR:1.1,2328.0] || -> equal(multiply(sk_c3,sk_c11),sk_c10)**.
% 0.44/0.61 2361[2:SpR:2331.0,1153.0] || -> equal(multiply(sk_c5,multiply(sk_c8,u)),u)**.
% 0.44/0.61 2371[2:SpR:2332.0,950.0] || -> equal(inverse(sk_c10),sk_c4)**.
% 0.44/0.61 2374[2:SpR:2333.0,98.0] || -> equal(multiply(sk_c11,multiply(sk_c3,u)),u)**.
% 0.44/0.61 2375[2:SpR:2333.0,950.0] || -> equal(inverse(sk_c11),sk_c3)**.
% 0.44/0.61 2394[2:SpR:2336.0,54.0] || -> equal(multiply(sk_c5,multiply(sk_c8,u)),multiply(sk_c11,u))**.
% 0.44/0.61 2398[2:Rew:2361.0,2394.0] || -> equal(multiply(sk_c11,u),u)**.
% 0.44/0.61 2399[2:Rew:2398.0,2374.0] || -> equal(multiply(sk_c3,u),u)**.
% 0.44/0.61 2402[2:Rew:2399.0,2338.0] || -> equal(sk_c11,sk_c10)**.
% 0.44/0.61 2405[2:Rew:2402.0,2375.0] || -> equal(inverse(sk_c10),sk_c3)**.
% 0.44/0.61 2407[2:Rew:2402.0,2328.0] || equal(multiply(sk_c10,sk_c10),sk_c9)** -> .
% 0.44/0.61 2415[2:Rew:2402.0,2398.0] || -> equal(multiply(sk_c10,u),u)**.
% 0.44/0.61 2416[2:Rew:2371.0,2405.0] || -> equal(sk_c4,sk_c3)**.
% 0.44/0.61 2419[2:Rew:2416.0,2337.0] || -> equal(multiply(sk_c3,sk_c10),sk_c9)**.
% 0.44/0.61 2435[2:Rew:2399.0,2419.0] || -> equal(sk_c9,sk_c10)**.
% 0.44/0.61 2445[2:Rew:2415.0,2407.0,2435.0,2407.0] || equal(sk_c10,sk_c10)* -> .
% 0.44/0.61 2446[2:Obv:2445.0] || -> .
% 0.44/0.61 2457[1:Spt:2446.0,51.3,51.4,51.5,51.6,51.10,51.11,51.12,51.13,51.14] || equal(inverse(u),sk_c10) equal(inverse(v),sk_c11) equal(inverse(w),sk_c10) equal(inverse(x),sk_c11) equal(multiply(u,sk_c10),sk_c9)**+ equal(multiply(v,sk_c11),sk_c10)** equal(multiply(w,sk_c9),sk_c10)** equal(multiply(x,sk_c10),sk_c11)** equal(multiply(sk_c10,sk_c11),sk_c9)** -> .
% 0.44/0.61 2459[2:Spt:8.1] || -> equal(multiply(sk_c10,sk_c11),sk_c9)**.
% 0.44/0.61 2460[2:Rew:2459.0,2457.8] || equal(inverse(u),sk_c10) equal(inverse(v),sk_c11) equal(inverse(w),sk_c10) equal(inverse(x),sk_c11) equal(multiply(u,sk_c10),sk_c9)** equal(multiply(v,sk_c11),sk_c10)** equal(multiply(w,sk_c9),sk_c10)** equal(multiply(x,sk_c10),sk_c11)** equal(sk_c9,sk_c9) -> .
% 0.44/0.61 2462[2:Obv:2460.8] || equal(inverse(u),sk_c10) equal(inverse(v),sk_c11) equal(inverse(w),sk_c10) equal(inverse(x),sk_c11) equal(multiply(u,sk_c10),sk_c9)** equal(multiply(v,sk_c11),sk_c10)** equal(multiply(w,sk_c9),sk_c10)** equal(multiply(x,sk_c10),sk_c11)** -> .
% 0.44/0.61 2465[2:SpR:2459.0,98.0] || -> equal(multiply(inverse(sk_c10),sk_c9),sk_c11)**.
% 0.44/0.61 2467[3:Spt:19.1] || -> equal(inverse(sk_c1),sk_c11)**.
% 0.44/0.61 2469[3:SpR:2467.0,950.0] || -> equal(inverse(sk_c11),sk_c1)**.
% 0.44/0.61 2472[4:Spt:39.1] || -> equal(inverse(sk_c2),sk_c10)**.
% 0.44/0.61 2474[4:SpR:2472.0,950.0] || -> equal(inverse(sk_c10),sk_c2)**.
% 0.44/0.61 2477[4:Rew:2474.0,2465.0] || -> equal(multiply(sk_c2,sk_c9),sk_c11)**.
% 0.44/0.61 2478[4:Rew:2477.0,41.1] || -> equal(multiply(sk_c3,sk_c11),sk_c10)** equal(sk_c11,sk_c10).
% 0.44/0.61 2479[4:Rew:2477.0,43.1] || -> equal(multiply(sk_c4,sk_c10),sk_c9)** equal(sk_c11,sk_c10).
% 0.44/0.61 2483[4:Rew:2477.0,42.1] || -> equal(inverse(sk_c3),sk_c11)** equal(sk_c11,sk_c10).
% 0.44/0.61 2484[4:Rew:2477.0,44.1] || -> equal(inverse(sk_c4),sk_c10)** equal(sk_c11,sk_c10).
% 0.44/0.61 2487[4:Rew:2477.0,49.1] || -> equal(inverse(sk_c6),sk_c8)** equal(sk_c11,sk_c10).
% 0.44/0.61 2488[4:Rew:2483.1,22.1] || -> equal(inverse(sk_c3),sk_c11) equal(multiply(sk_c1,sk_c10),sk_c10)**.
% 0.44/0.61 2489[4:Rew:2484.1,24.1] || -> equal(inverse(sk_c4),sk_c10) equal(multiply(sk_c1,sk_c10),sk_c10)**.
% 0.44/0.61 2492[4:Rew:2487.1,29.1] || -> equal(inverse(sk_c6),sk_c8) equal(multiply(sk_c1,sk_c10),sk_c10)**.
% 0.44/0.61 2493[4:Rew:2478.1,21.1] || -> equal(multiply(sk_c3,sk_c11),sk_c10) equal(multiply(sk_c1,sk_c10),sk_c10)**.
% 0.44/0.61 2494[4:Rew:2479.1,23.1] || -> equal(multiply(sk_c4,sk_c10),sk_c9) equal(multiply(sk_c1,sk_c10),sk_c10)**.
% 0.44/0.61 2532[3:SpR:2467.0,2099.0] || -> equal(multiply(sk_c1,sk_c11),identity)**.
% 0.44/0.61 2534[3:SpR:2469.0,2099.0] || -> equal(multiply(sk_c11,sk_c1),identity)**.
% 0.44/0.61 2571[5:Spt:2483.1] || -> equal(sk_c11,sk_c10)**.
% 0.44/0.61 2572[5:Rew:2571.0,2459.0] || -> equal(multiply(sk_c10,sk_c10),sk_c9)**.
% 0.44/0.61 2573[5:Rew:2571.0,2467.0] || -> equal(inverse(sk_c1),sk_c10)**.
% 0.44/0.61 2574[5:Rew:2571.0,2469.0] || -> equal(inverse(sk_c10),sk_c1)**.
% 0.44/0.61 2575[5:Rew:2571.0,2477.0] || -> equal(multiply(sk_c2,sk_c9),sk_c10)**.
% 0.44/0.61 2576[5:Rew:2571.0,2532.0] || -> equal(multiply(sk_c1,sk_c10),identity)**.
% 0.44/0.61 2578[5:Rew:2571.0,2462.1] || equal(inverse(u),sk_c10) equal(inverse(v),sk_c10) equal(inverse(w),sk_c10) equal(inverse(x),sk_c11) equal(multiply(u,sk_c10),sk_c9)** equal(multiply(v,sk_c11),sk_c10)** equal(multiply(w,sk_c9),sk_c10)** equal(multiply(x,sk_c10),sk_c11)** -> .
% 0.44/0.61 2584[5:Rew:2571.0,2488.0] || -> equal(inverse(sk_c3),sk_c10) equal(multiply(sk_c1,sk_c10),sk_c10)**.
% 0.44/0.61 2585[5:Rew:2571.0,2493.0] || -> equal(multiply(sk_c3,sk_c10),sk_c10) equal(multiply(sk_c1,sk_c10),sk_c10)**.
% 0.44/0.61 2588[5:Rew:2474.0,2574.0] || -> equal(sk_c2,sk_c1)**.
% 0.44/0.61 2590[5:Rew:2588.0,2474.0] || -> equal(inverse(sk_c10),sk_c1)**.
% 0.44/0.61 2595[5:Rew:2588.0,2575.0] || -> equal(multiply(sk_c1,sk_c9),sk_c10)**.
% 0.44/0.61 2597[5:Rew:2576.0,2494.1] || -> equal(multiply(sk_c4,sk_c10),sk_c9)** equal(identity,sk_c10).
% 0.44/0.61 2598[5:Rew:2576.0,2492.1] || -> equal(inverse(sk_c6),sk_c8)** equal(identity,sk_c10).
% 0.44/0.61 2601[5:Rew:2576.0,2489.1] || -> equal(inverse(sk_c4),sk_c10)** equal(identity,sk_c10).
% 0.44/0.61 2603[5:Rew:2576.0,2584.1] || -> equal(inverse(sk_c3),sk_c10)** equal(identity,sk_c10).
% 0.44/0.61 2604[5:Rew:2576.0,2585.1] || -> equal(multiply(sk_c3,sk_c10),sk_c10)** equal(identity,sk_c10).
% 0.44/0.61 2607[5:Rew:2571.0,2578.7,2571.0,2578.5,2571.0,2578.3] || equal(inverse(u),sk_c10) equal(inverse(v),sk_c10) equal(inverse(w),sk_c10) equal(inverse(x),sk_c10) equal(multiply(u,sk_c10),sk_c9)** equal(multiply(v,sk_c10),sk_c10)** equal(multiply(w,sk_c9),sk_c10)** equal(multiply(x,sk_c10),sk_c10)** -> .
% 0.44/0.61 2608[5:Con:2607.3] || equal(inverse(u),sk_c10) equal(inverse(v),sk_c10) equal(inverse(w),sk_c10) equal(multiply(u,sk_c10),sk_c9)** equal(multiply(v,sk_c10),sk_c10)** equal(multiply(w,sk_c9),sk_c10)** -> .
% 0.44/0.61 2629[6:Spt:2598.1] || -> equal(identity,sk_c10)**.
% 0.44/0.61 2630[6:Rew:2629.0,942.0] || -> equal(inverse(sk_c10),sk_c10)**.
% 0.44/0.61 2631[6:Rew:2629.0,52.0] || -> equal(multiply(sk_c10,u),u)**.
% 0.44/0.61 2632[6:Rew:2629.0,538.0] || -> equal(multiply(u,sk_c10),u)**.
% 0.44/0.61 2638[6:Rew:2590.0,2630.0] || -> equal(sk_c1,sk_c10)**.
% 0.44/0.61 2640[6:Rew:2638.0,2573.0] || -> equal(inverse(sk_c10),sk_c10)**.
% 0.44/0.61 2646[6:Rew:2631.0,2572.0] || -> equal(sk_c9,sk_c10)**.
% 0.44/0.61 2648[6:Rew:2646.0,2608.3] || equal(inverse(u),sk_c10) equal(inverse(v),sk_c10) equal(inverse(w),sk_c10) equal(multiply(u,sk_c10),sk_c10)** equal(multiply(v,sk_c10),sk_c10)** equal(multiply(w,sk_c9),sk_c10)** -> .
% 0.44/0.61 2657[6:Con:2648.1] || equal(inverse(u),sk_c10) equal(inverse(v),sk_c10) equal(multiply(u,sk_c10),sk_c10)** equal(multiply(v,sk_c9),sk_c10)** -> .
% 0.44/0.61 2658[6:Rew:2632.0,2657.3,2646.0,2657.3,2632.0,2657.2] || equal(inverse(u),sk_c10)** equal(inverse(v),sk_c10)** equal(u,sk_c10) equal(v,sk_c10) -> .
% 0.44/0.61 2659[6:Con:2658.1] || equal(inverse(u),sk_c10)** equal(u,sk_c10) -> .
% 0.44/0.61 2706[6:SpL:2640.0,2659.0] || equal(sk_c10,sk_c10)* equal(sk_c10,sk_c10)* -> .
% 0.44/0.61 2707[6:Obv:2706.1] || -> .
% 0.44/0.61 2708[6:Spt:2707.0,2598.1,2629.0] || equal(identity,sk_c10)** -> .
% 0.44/0.61 2709[6:Spt:2707.0,2598.0] || -> equal(inverse(sk_c6),sk_c8)**.
% 0.44/0.61 2712[6:MRR:2601.1,2708.0] || -> equal(inverse(sk_c4),sk_c10)**.
% 0.44/0.61 2713[6:MRR:2603.1,2708.0] || -> equal(inverse(sk_c3),sk_c10)**.
% 0.44/0.61 2715[6:MRR:2597.1,2708.0] || -> equal(multiply(sk_c4,sk_c10),sk_c9)**.
% 0.44/0.61 2716[6:MRR:2604.1,2708.0] || -> equal(multiply(sk_c3,sk_c10),sk_c10)**.
% 0.44/0.61 2760[6:SpR:2712.0,950.0] || -> equal(inverse(sk_c10),sk_c4)**.
% 0.44/0.61 2763[6:Rew:2590.0,2760.0] || -> equal(sk_c1,sk_c4)**.
% 0.44/0.61 2768[6:Rew:2763.0,2576.0] || -> equal(multiply(sk_c4,sk_c10),identity)**.
% 0.44/0.61 2769[6:Rew:2763.0,2595.0] || -> equal(multiply(sk_c4,sk_c9),sk_c10)**.
% 0.44/0.61 2773[6:Rew:2715.0,2768.0] || -> equal(identity,sk_c9)**.
% 0.44/0.61 2774[6:Rew:2773.0,2708.0] || equal(sk_c9,sk_c10)** -> .
% 0.44/0.61 2776[6:Rew:2773.0,538.0] || -> equal(multiply(u,sk_c9),u)**.
% 0.44/0.61 2782[6:Rew:2776.0,2769.0] || -> equal(sk_c4,sk_c10)**.
% 0.44/0.61 2785[6:Rew:2782.0,2712.0] || -> equal(inverse(sk_c10),sk_c10)**.
% 0.44/0.61 2798[6:SpR:2713.0,950.0] || -> equal(inverse(sk_c10),sk_c3)**.
% 0.44/0.61 2801[6:Rew:2785.0,2798.0] || -> equal(sk_c3,sk_c10)**.
% 0.44/0.61 2803[6:Rew:2801.0,2716.0] || -> equal(multiply(sk_c10,sk_c10),sk_c10)**.
% 0.44/0.61 2804[6:Rew:2572.0,2803.0] || -> equal(sk_c9,sk_c10)**.
% 0.44/0.61 2805[6:MRR:2804.0,2774.0] || -> .
% 0.44/0.61 2808[5:Spt:2805.0,2483.1,2571.0] || equal(sk_c11,sk_c10)** -> .
% 0.44/0.61 2809[5:Spt:2805.0,2483.0] || -> equal(inverse(sk_c3),sk_c11)**.
% 0.44/0.61 2810[5:MRR:2484.1,2808.0] || -> equal(inverse(sk_c4),sk_c10)**.
% 0.44/0.61 2814[5:MRR:2478.1,2808.0] || -> equal(multiply(sk_c3,sk_c11),sk_c10)**.
% 0.44/0.61 2815[5:MRR:2479.1,2808.0] || -> equal(multiply(sk_c4,sk_c10),sk_c9)**.
% 0.44/0.61 2820[5:SpR:2809.0,950.0] || -> equal(inverse(sk_c11),sk_c3)**.
% 0.44/0.61 2823[5:Rew:2469.0,2820.0] || -> equal(sk_c1,sk_c3)**.
% 0.44/0.61 2824[5:Rew:2823.0,2469.0] || -> equal(inverse(sk_c11),sk_c3)**.
% 0.44/0.61 2826[5:Rew:2823.0,2534.0] || -> equal(multiply(sk_c11,sk_c3),identity)**.
% 0.44/0.61 2827[5:Rew:2823.0,2532.0] || -> equal(multiply(sk_c3,sk_c11),identity)**.
% 0.44/0.61 2830[5:Rew:2814.0,2827.0] || -> equal(identity,sk_c10)**.
% 0.44/0.61 2832[5:Rew:2830.0,52.0] || -> equal(multiply(sk_c10,u),u)**.
% 0.44/0.61 2833[5:Rew:2830.0,538.0] || -> equal(multiply(u,sk_c10),u)**.
% 0.44/0.61 2839[5:Rew:2830.0,2826.0] || -> equal(multiply(sk_c11,sk_c3),sk_c10)**.
% 0.44/0.61 2848[5:Rew:2832.0,2459.0] || -> equal(sk_c9,sk_c11)**.
% 0.44/0.61 2849[5:Rew:2848.0,2815.0] || -> equal(multiply(sk_c4,sk_c10),sk_c11)**.
% 0.44/0.61 2860[5:Rew:2833.0,2849.0] || -> equal(sk_c4,sk_c11)**.
% 0.44/0.61 2861[5:Rew:2860.0,2810.0] || -> equal(inverse(sk_c11),sk_c10)**.
% 0.44/0.61 2862[5:Rew:2824.0,2861.0] || -> equal(sk_c3,sk_c10)**.
% 0.44/0.61 2867[5:Rew:2862.0,2839.0] || -> equal(multiply(sk_c11,sk_c10),sk_c10)**.
% 0.44/0.61 2872[5:Rew:2833.0,2867.0] || -> equal(sk_c11,sk_c10)**.
% 0.44/0.61 2873[5:MRR:2872.0,2808.0] || -> .
% 0.44/0.61 2884[4:Spt:2873.0,39.1,2472.0] || equal(inverse(sk_c2),sk_c10)** -> .
% 0.44/0.61 2885[4:Spt:2873.0,39.0] || -> equal(inverse(sk_c6),sk_c8)**.
% 0.44/0.61 2888[4:MRR:34.1,2884.0] || -> equal(inverse(sk_c4),sk_c10)**.
% 0.44/0.61 2889[4:MRR:32.1,2884.0] || -> equal(inverse(sk_c3),sk_c11)**.
% 0.44/0.61 2893[4:MRR:33.0,2884.0] || -> equal(multiply(sk_c4,sk_c10),sk_c9)**.
% 0.44/0.61 2894[4:MRR:31.0,2884.0] || -> equal(multiply(sk_c3,sk_c11),sk_c10)**.
% 0.44/0.61 2935[4:SpR:2888.0,950.0] || -> equal(inverse(sk_c10),sk_c4)**.
% 0.44/0.61 2940[4:SpR:2889.0,950.0] || -> equal(inverse(sk_c11),sk_c3)**.
% 0.44/0.61 2943[4:Rew:2469.0,2940.0] || -> equal(sk_c1,sk_c3)**.
% 0.44/0.61 2946[4:Rew:2943.0,2532.0] || -> equal(multiply(sk_c3,sk_c11),identity)**.
% 0.44/0.61 2950[4:Rew:2894.0,2946.0] || -> equal(identity,sk_c10)**.
% 0.44/0.61 2951[4:Rew:2950.0,942.0] || -> equal(inverse(sk_c10),sk_c10)**.
% 0.44/0.61 2952[4:Rew:2950.0,538.0] || -> equal(multiply(u,sk_c10),u)**.
% 0.44/0.61 2953[4:Rew:2950.0,52.0] || -> equal(multiply(sk_c10,u),u)**.
% 0.44/0.61 2957[4:Rew:2935.0,2951.0] || -> equal(sk_c4,sk_c10)**.
% 0.44/0.61 2958[4:Rew:2957.0,2888.0] || -> equal(inverse(sk_c10),sk_c10)**.
% 0.44/0.61 2959[4:Rew:2957.0,2893.0] || -> equal(multiply(sk_c10,sk_c10),sk_c9)**.
% 0.44/0.61 2966[4:Rew:2952.0,2462.7] || equal(inverse(u),sk_c10) equal(inverse(v),sk_c11) equal(inverse(w),sk_c10) equal(inverse(x),sk_c11)** equal(multiply(u,sk_c10),sk_c9)** equal(multiply(v,sk_c11),sk_c10)** equal(multiply(w,sk_c9),sk_c10)** equal(x,sk_c11) -> .
% 0.44/0.61 2979[4:Rew:2953.0,2459.0] || -> equal(sk_c9,sk_c11)**.
% 0.44/0.61 2980[4:Rew:2953.0,2959.0,2979.0,2959.0] || -> equal(sk_c11,sk_c10)**.
% 0.44/0.61 2987[4:Rew:2980.0,2979.0] || -> equal(sk_c9,sk_c10)**.
% 0.44/0.61 3007[4:Rew:2980.0,2966.7,2952.0,2966.6,2987.0,2966.6,2952.0,2966.5,2980.0,2966.5,2952.0,2966.4,2987.0,2966.4,2980.0,2966.3,2980.0,2966.1] || equal(inverse(u),sk_c10)** equal(inverse(v),sk_c10)** equal(inverse(w),sk_c10)** equal(inverse(x),sk_c10)** equal(u,sk_c10) equal(v,sk_c10) equal(w,sk_c10) equal(x,sk_c10) -> .
% 0.44/0.61 3008[4:Con:3007.1] || equal(inverse(u),sk_c10)** equal(u,sk_c10) -> .
% 0.44/0.61 3051[4:SpL:2958.0,3008.0] || equal(sk_c10,sk_c10)* equal(sk_c10,sk_c10)* -> .
% 0.44/0.61 3052[4:Obv:3051.1] || -> .
% 0.44/0.61 3053[3:Spt:3052.0,19.1,2467.0] || equal(inverse(sk_c1),sk_c11)** -> .
% 0.44/0.61 3054[3:Spt:3052.0,19.0] || -> equal(inverse(sk_c6),sk_c8)**.
% 0.44/0.61 3055[3:MRR:18.1,3053.0] || -> equal(inverse(sk_c7),sk_c6)**.
% 0.44/0.61 3056[3:MRR:16.1,3053.0] || -> equal(inverse(sk_c5),sk_c8)**.
% 0.44/0.61 3057[3:MRR:14.1,3053.0] || -> equal(inverse(sk_c4),sk_c10)**.
% 0.44/0.61 3058[3:MRR:12.1,3053.0] || -> equal(inverse(sk_c3),sk_c11)**.
% 0.44/0.61 3059[3:MRR:20.0,3053.0] || -> equal(multiply(sk_c7,sk_c8),sk_c6)**.
% 0.44/0.61 3060[3:MRR:17.0,3053.0] || -> equal(multiply(sk_c8,sk_c10),sk_c11)**.
% 0.44/0.61 3061[3:MRR:15.0,3053.0] || -> equal(multiply(sk_c5,sk_c8),sk_c11)**.
% 0.44/0.61 3063[3:MRR:11.0,3053.0] || -> equal(multiply(sk_c3,sk_c11),sk_c10)**.
% 0.44/0.61 3065[3:SpR:3054.0,950.0] || -> equal(inverse(sk_c8),sk_c6)**.
% 0.44/0.61 3075[3:SpR:3055.0,950.0] || -> equal(inverse(sk_c6),sk_c7)**.
% 0.44/0.61 3078[3:Rew:3054.0,3075.0] || -> equal(sk_c7,sk_c8)**.
% 0.44/0.61 3080[3:Rew:3078.0,3059.0] || -> equal(multiply(sk_c8,sk_c8),sk_c6)**.
% 0.44/0.61 3085[3:SpR:3056.0,950.0] || -> equal(inverse(sk_c8),sk_c5)**.
% 0.44/0.61 3086[3:SpR:3056.0,1153.0] || -> equal(multiply(sk_c5,multiply(sk_c8,u)),u)**.
% 0.44/0.61 3088[3:Rew:3065.0,3085.0] || -> equal(sk_c6,sk_c5)**.
% 0.44/0.61 3090[3:Rew:3088.0,3065.0] || -> equal(inverse(sk_c8),sk_c5)**.
% 0.44/0.61 3093[3:Rew:3088.0,3080.0] || -> equal(multiply(sk_c8,sk_c8),sk_c5)**.
% 0.44/0.61 3095[3:SpR:3057.0,950.0] || -> equal(inverse(sk_c10),sk_c4)**.
% 0.44/0.61 3098[3:Rew:3095.0,2465.0] || -> equal(multiply(sk_c4,sk_c9),sk_c11)**.
% 0.44/0.61 3100[3:SpR:3058.0,98.0] || -> equal(multiply(sk_c11,multiply(sk_c3,u)),u)**.
% 0.44/0.61 3101[3:SpR:3058.0,950.0] || -> equal(inverse(sk_c11),sk_c3)**.
% 0.44/0.61 3124[3:SpR:3061.0,54.0] || -> equal(multiply(sk_c5,multiply(sk_c8,u)),multiply(sk_c11,u))**.
% 0.44/0.61 3125[3:SpR:3061.0,98.0] || -> equal(multiply(inverse(sk_c5),sk_c11),sk_c8)**.
% 0.44/0.61 3127[3:Rew:3056.0,3125.0] || -> equal(multiply(sk_c8,sk_c11),sk_c8)**.
% 0.44/0.62 3128[3:Rew:3086.0,3124.0] || -> equal(multiply(sk_c11,u),u)**.
% 0.44/0.62 3129[3:Rew:3128.0,3100.0] || -> equal(multiply(sk_c3,u),u)**.
% 0.44/0.62 3133[3:Rew:3129.0,3063.0] || -> equal(sk_c11,sk_c10)**.
% 0.44/0.62 3134[3:Rew:3133.0,3058.0] || -> equal(inverse(sk_c3),sk_c10)**.
% 0.44/0.62 3136[3:Rew:3133.0,3101.0] || -> equal(inverse(sk_c10),sk_c3)**.
% 0.44/0.62 3138[3:Rew:3133.0,3060.0] || -> equal(multiply(sk_c8,sk_c10),sk_c10)**.
% 0.44/0.62 3140[3:Rew:3133.0,2462.1] || equal(inverse(u),sk_c10) equal(inverse(v),sk_c10) equal(inverse(w),sk_c10) equal(inverse(x),sk_c11) equal(multiply(u,sk_c10),sk_c9)** equal(multiply(v,sk_c11),sk_c10)** equal(multiply(w,sk_c9),sk_c10)** equal(multiply(x,sk_c10),sk_c11)** -> .
% 0.44/0.62 3142[3:Rew:3133.0,3098.0] || -> equal(multiply(sk_c4,sk_c9),sk_c10)**.
% 0.44/0.62 3144[3:Rew:3133.0,3127.0] || -> equal(multiply(sk_c8,sk_c10),sk_c8)**.
% 0.44/0.62 3145[3:Rew:3133.0,3128.0] || -> equal(multiply(sk_c10,u),u)**.
% 0.44/0.62 3146[3:Rew:3095.0,3136.0] || -> equal(sk_c4,sk_c3)**.
% 0.44/0.62 3148[3:Rew:3146.0,3095.0] || -> equal(inverse(sk_c10),sk_c3)**.
% 0.44/0.62 3152[3:Rew:3129.0,3142.0,3146.0,3142.0] || -> equal(sk_c9,sk_c10)**.
% 0.44/0.62 3154[3:Rew:3138.0,3144.0] || -> equal(sk_c8,sk_c10)**.
% 0.44/0.62 3157[3:Rew:3154.0,3090.0] || -> equal(inverse(sk_c10),sk_c5)**.
% 0.44/0.62 3158[3:Rew:3154.0,3093.0] || -> equal(multiply(sk_c10,sk_c10),sk_c5)**.
% 0.44/0.62 3163[3:Rew:3148.0,3157.0] || -> equal(sk_c5,sk_c3)**.
% 0.44/0.62 3168[3:Rew:3145.0,3158.0,3163.0,3158.0] || -> equal(sk_c3,sk_c10)**.
% 0.44/0.62 3170[3:Rew:3168.0,3134.0] || -> equal(inverse(sk_c10),sk_c10)**.
% 0.44/0.62 3183[3:Rew:3133.0,3140.7,3152.0,3140.6,3133.0,3140.5,3152.0,3140.4,3133.0,3140.3] || equal(inverse(u),sk_c10) equal(inverse(v),sk_c10) equal(inverse(w),sk_c10) equal(inverse(x),sk_c10) equal(multiply(u,sk_c10),sk_c10)** equal(multiply(v,sk_c10),sk_c10)** equal(multiply(w,sk_c10),sk_c10)** equal(multiply(x,sk_c10),sk_c10)** -> .
% 0.44/0.62 3184[3:Con:3183.1] || equal(inverse(u),sk_c10) equal(multiply(u,sk_c10),sk_c10)** -> .
% 0.44/0.62 3217[3:SpR:3145.0,538.0] || -> equal(identity,sk_c10)**.
% 0.44/0.62 3222[3:Rew:3217.0,538.0] || -> equal(multiply(u,sk_c10),u)**.
% 0.44/0.62 3226[3:Rew:3222.0,3184.1] || equal(inverse(u),sk_c10)** equal(u,sk_c10) -> .
% 0.44/0.62 3258[3:SpL:3170.0,3226.0] || equal(sk_c10,sk_c10)* equal(sk_c10,sk_c10)* -> .
% 0.44/0.62 3259[3:Obv:3258.1] || -> .
% 0.44/0.62 3260[2:Spt:3259.0,8.1,2459.0] || equal(multiply(sk_c10,sk_c11),sk_c9)** -> .
% 0.44/0.62 3261[2:Spt:3259.0,8.0] || -> equal(inverse(sk_c7),sk_c6)**.
% 0.44/0.62 3262[2:MRR:6.1,3260.0] || -> equal(inverse(sk_c5),sk_c8)**.
% 0.44/0.62 3263[2:MRR:4.1,3260.0] || -> equal(inverse(sk_c4),sk_c10)**.
% 0.44/0.62 3264[2:MRR:2.1,3260.0] || -> equal(inverse(sk_c3),sk_c11)**.
% 0.44/0.62 3268[2:MRR:5.1,3260.0] || -> equal(multiply(sk_c5,sk_c8),sk_c11)**.
% 0.44/0.62 3269[2:MRR:3.1,3260.0] || -> equal(multiply(sk_c4,sk_c10),sk_c9)**.
% 0.44/0.62 3270[2:MRR:1.1,3260.0] || -> equal(multiply(sk_c3,sk_c11),sk_c10)**.
% 0.44/0.62 3289[2:SpR:3262.0,1153.0] || -> equal(multiply(sk_c5,multiply(sk_c8,u)),u)**.
% 0.44/0.62 3299[2:SpR:3263.0,950.0] || -> equal(inverse(sk_c10),sk_c4)**.
% 0.44/0.62 3302[2:SpR:3264.0,98.0] || -> equal(multiply(sk_c11,multiply(sk_c3,u)),u)**.
% 0.44/0.62 3303[2:SpR:3264.0,950.0] || -> equal(inverse(sk_c11),sk_c3)**.
% 0.44/0.62 3322[2:SpR:3268.0,54.0] || -> equal(multiply(sk_c5,multiply(sk_c8,u)),multiply(sk_c11,u))**.
% 0.44/0.62 3326[2:Rew:3289.0,3322.0] || -> equal(multiply(sk_c11,u),u)**.
% 0.44/0.62 3327[2:Rew:3326.0,3302.0] || -> equal(multiply(sk_c3,u),u)**.
% 0.44/0.62 3330[2:Rew:3327.0,3270.0] || -> equal(sk_c11,sk_c10)**.
% 0.44/0.62 3333[2:Rew:3330.0,3303.0] || -> equal(inverse(sk_c10),sk_c3)**.
% 0.44/0.62 3335[2:Rew:3330.0,3260.0] || equal(multiply(sk_c10,sk_c10),sk_c9)** -> .
% 0.44/0.62 3338[2:Rew:3330.0,3326.0] || -> equal(multiply(sk_c10,u),u)**.
% 0.44/0.62 3339[2:Rew:3299.0,3333.0] || -> equal(sk_c4,sk_c3)**.
% 0.44/0.62 3342[2:Rew:3339.0,3269.0] || -> equal(multiply(sk_c3,sk_c10),sk_c9)**.
% 0.44/0.62 3358[2:Rew:3327.0,3342.0] || -> equal(sk_c9,sk_c10)**.
% 0.44/0.62 3368[2:Rew:3338.0,3335.0,3358.0,3335.0] || equal(sk_c10,sk_c10)* -> .
% 0.44/0.62 3369[2:Obv:3368.0] || -> .
% 0.44/0.62 % SZS output end Refutation
% 0.44/0.62 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_11 prove_this_12 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 prove_this_38 prove_this_39 prove_this_40 prove_this_41 prove_this_42 prove_this_43 prove_this_44 prove_this_45 prove_this_46 prove_this_47 prove_this_48 prove_this_49 prove_this_50 prove_this_51 left_identity left_inverse associativity
% 0.44/0.62
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