TSTP Solution File: GRP378-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GRP378-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n008.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 11:47:06 EDT 2022
% Result : Unsatisfiable 0.43s 0.60s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP378-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n008.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 : Mon Jun 13 09:05:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.43/0.60
% 0.43/0.60 SPASS V 3.9
% 0.43/0.60 SPASS beiseite: Proof found.
% 0.43/0.60 % SZS status Theorem
% 0.43/0.60 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.43/0.60 SPASS derived 2005 clauses, backtracked 497 clauses, performed 11 splits and kept 1030 clauses.
% 0.43/0.60 SPASS allocated 65011 KBytes.
% 0.43/0.60 SPASS spent 0:00:00.25 on the problem.
% 0.43/0.60 0:00:00.04 for the input.
% 0.43/0.60 0:00:00.00 for the FLOTTER CNF translation.
% 0.43/0.60 0:00:00.01 for inferences.
% 0.43/0.60 0:00:00.00 for the backtracking.
% 0.43/0.60 0:00:00.17 for the reduction.
% 0.43/0.60
% 0.43/0.60
% 0.43/0.60 Here is a proof with depth 5, length 309 :
% 0.43/0.60 % SZS output start Refutation
% 0.43/0.60 1[0:Inp] || -> equal(inverse(sk_c11),sk_c10) equal(multiply(sk_c3,sk_c11),sk_c10)**.
% 0.43/0.60 2[0:Inp] || -> equal(inverse(sk_c3),sk_c11)** equal(inverse(sk_c11),sk_c10).
% 0.43/0.60 5[0:Inp] || -> equal(inverse(sk_c11),sk_c10) equal(multiply(sk_c5,sk_c8),sk_c11)**.
% 0.43/0.60 6[0:Inp] || -> equal(inverse(sk_c5),sk_c8)** equal(inverse(sk_c11),sk_c10).
% 0.43/0.60 7[0:Inp] || -> equal(inverse(sk_c11),sk_c10) equal(multiply(sk_c8,sk_c10),sk_c11)**.
% 0.43/0.60 8[0:Inp] || -> equal(inverse(sk_c7),sk_c6)** equal(inverse(sk_c11),sk_c10).
% 0.43/0.60 9[0:Inp] || -> equal(inverse(sk_c6),sk_c8)** equal(inverse(sk_c11),sk_c10).
% 0.43/0.60 11[0:Inp] || -> equal(multiply(sk_c3,sk_c11),sk_c10)** equal(multiply(sk_c11,sk_c9),sk_c10).
% 0.43/0.60 12[0:Inp] || -> equal(inverse(sk_c3),sk_c11) equal(multiply(sk_c11,sk_c9),sk_c10)**.
% 0.43/0.60 13[0:Inp] || -> equal(multiply(sk_c4,sk_c10),sk_c9)** equal(multiply(sk_c11,sk_c9),sk_c10).
% 0.43/0.60 14[0:Inp] || -> equal(inverse(sk_c4),sk_c10) equal(multiply(sk_c11,sk_c9),sk_c10)**.
% 0.43/0.60 15[0:Inp] || -> equal(multiply(sk_c5,sk_c8),sk_c11)** equal(multiply(sk_c11,sk_c9),sk_c10).
% 0.43/0.60 16[0:Inp] || -> equal(inverse(sk_c5),sk_c8) equal(multiply(sk_c11,sk_c9),sk_c10)**.
% 0.43/0.60 18[0:Inp] || -> equal(inverse(sk_c7),sk_c6) equal(multiply(sk_c11,sk_c9),sk_c10)**.
% 0.43/0.60 21[0:Inp] || -> equal(multiply(sk_c3,sk_c11),sk_c10) equal(multiply(sk_c1,sk_c2),sk_c11)**.
% 0.43/0.60 22[0:Inp] || -> equal(inverse(sk_c3),sk_c11) equal(multiply(sk_c1,sk_c2),sk_c11)**.
% 0.43/0.60 25[0:Inp] || -> equal(multiply(sk_c5,sk_c8),sk_c11) equal(multiply(sk_c1,sk_c2),sk_c11)**.
% 0.43/0.60 26[0:Inp] || -> equal(inverse(sk_c5),sk_c8) equal(multiply(sk_c1,sk_c2),sk_c11)**.
% 0.43/0.60 29[0:Inp] || -> equal(inverse(sk_c6),sk_c8) equal(multiply(sk_c1,sk_c2),sk_c11)**.
% 0.43/0.60 31[0:Inp] || -> equal(inverse(sk_c1),sk_c2) equal(multiply(sk_c3,sk_c11),sk_c10)**.
% 0.43/0.60 32[0:Inp] || -> equal(inverse(sk_c3),sk_c11) equal(inverse(sk_c1),sk_c2)**.
% 0.43/0.60 35[0:Inp] || -> equal(inverse(sk_c1),sk_c2) equal(multiply(sk_c5,sk_c8),sk_c11)**.
% 0.43/0.60 36[0:Inp] || -> equal(inverse(sk_c5),sk_c8) equal(inverse(sk_c1),sk_c2)**.
% 0.43/0.60 39[0:Inp] || -> equal(inverse(sk_c6),sk_c8) equal(inverse(sk_c1),sk_c2)**.
% 0.43/0.60 41[0:Inp] || -> equal(multiply(sk_c3,sk_c11),sk_c10) equal(multiply(sk_c2,sk_c10),sk_c11)**.
% 0.43/0.60 42[0:Inp] || -> equal(inverse(sk_c3),sk_c11) equal(multiply(sk_c2,sk_c10),sk_c11)**.
% 0.43/0.60 45[0:Inp] || -> equal(multiply(sk_c5,sk_c8),sk_c11) equal(multiply(sk_c2,sk_c10),sk_c11)**.
% 0.43/0.60 46[0:Inp] || -> equal(inverse(sk_c5),sk_c8) equal(multiply(sk_c2,sk_c10),sk_c11)**.
% 0.43/0.60 49[0:Inp] || -> equal(inverse(sk_c6),sk_c8) equal(multiply(sk_c2,sk_c10),sk_c11)**.
% 0.43/0.60 51[0:Inp] || equal(inverse(sk_c11),sk_c10) equal(multiply(sk_c11,sk_c9),sk_c10)** equal(multiply(u,v),sk_c11)** equal(inverse(u),v) equal(multiply(v,sk_c10),sk_c11)** equal(multiply(w,sk_c11),sk_c10)** equal(inverse(w),sk_c11) equal(multiply(x,sk_c10),sk_c9)** equal(inverse(x),sk_c10) equal(multiply(y,z),sk_c11)** equal(inverse(y),z) equal(multiply(z,sk_c10),sk_c11)** equal(inverse(x1),x2) equal(inverse(x2),z)* equal(multiply(x1,z),x2)* -> .
% 0.43/0.60 52[0:Inp] || -> equal(multiply(identity,u),u)**.
% 0.43/0.60 53[0:Inp] || -> equal(multiply(inverse(u),u),identity)**.
% 0.43/0.60 54[0:Inp] || -> equal(multiply(multiply(u,v),w),multiply(u,multiply(v,w)))**.
% 0.43/0.60 55[0:Con:51.2] || equal(inverse(u),v)* equal(inverse(w),u) equal(inverse(x),v) equal(inverse(y),sk_c10) equal(inverse(z),sk_c11) equal(inverse(sk_c11),sk_c10) 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(sk_c11,sk_c9),sk_c10)** -> .
% 0.43/0.60 56[1:Spt:55.0,55.1,55.2,55.6,55.7,55.8] || 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)** -> .
% 0.43/0.60 57[1:EqR:56.3] || 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) -> .
% 0.43/0.60 58[2:Spt:9.1] || -> equal(inverse(sk_c11),sk_c10)**.
% 0.43/0.60 65[3:Spt:39.1] || -> equal(inverse(sk_c1),sk_c2)**.
% 0.43/0.60 67[4:Spt:49.1] || -> equal(multiply(sk_c2,sk_c10),sk_c11)**.
% 0.43/0.60 70[5:Spt:29.1] || -> equal(multiply(sk_c1,sk_c2),sk_c11)**.
% 0.43/0.60 72[5:SpL:70.0,56.3] || equal(inverse(u),sk_c2)** equal(inverse(sk_c1),u)* equal(inverse(v),sk_c2) equal(sk_c11,u) equal(multiply(v,sk_c2),sk_c11)** equal(multiply(sk_c2,sk_c10),sk_c11)** -> .
% 0.43/0.60 73[5:Rew:67.0,72.5,65.0,72.1] || equal(inverse(u),sk_c2)** equal(sk_c2,u) equal(inverse(v),sk_c2) equal(sk_c11,u) equal(multiply(v,sk_c2),sk_c11)** equal(sk_c11,sk_c11) -> .
% 0.43/0.60 74[5:Obv:73.5] || equal(inverse(u),sk_c2)** equal(sk_c2,u) equal(inverse(v),sk_c2) equal(sk_c11,u) equal(multiply(v,sk_c2),sk_c11)** -> .
% 0.43/0.60 78[2:SpR:58.0,53.0] || -> equal(multiply(sk_c10,sk_c11),identity)**.
% 0.43/0.60 79[3:SpR:65.0,53.0] || -> equal(multiply(sk_c2,sk_c1),identity)**.
% 0.43/0.60 91[0:SpR:53.0,54.0] || -> equal(multiply(inverse(u),multiply(u,v)),multiply(identity,v))**.
% 0.43/0.60 92[2:SpR:78.0,54.0] || -> equal(multiply(sk_c10,multiply(sk_c11,u)),multiply(identity,u))**.
% 0.43/0.60 93[3:SpR:79.0,54.0] || -> equal(multiply(sk_c2,multiply(sk_c1,u)),multiply(identity,u))**.
% 0.43/0.60 95[2:Rew:52.0,92.0] || -> equal(multiply(sk_c10,multiply(sk_c11,u)),u)**.
% 0.43/0.60 96[3:Rew:52.0,93.0] || -> equal(multiply(sk_c2,multiply(sk_c1,u)),u)**.
% 0.43/0.60 97[0:Rew:52.0,91.0] || -> equal(multiply(inverse(u),multiply(u,v)),v)**.
% 0.43/0.60 112[5:SpR:70.0,96.0] || -> equal(multiply(sk_c2,sk_c11),sk_c2)**.
% 0.43/0.60 120[0:SpR:97.0,97.0] || -> equal(multiply(inverse(inverse(u)),v),multiply(u,v))**.
% 0.43/0.60 122[4:SpR:67.0,97.0] || -> equal(multiply(inverse(sk_c2),sk_c11),sk_c10)**.
% 0.43/0.60 127[0:SpR:53.0,97.0] || -> equal(multiply(inverse(inverse(u)),identity),u)**.
% 0.43/0.60 129[3:SpR:79.0,97.0] || -> equal(multiply(inverse(sk_c2),identity),sk_c1)**.
% 0.43/0.60 130[5:SpR:112.0,97.0] || -> equal(multiply(inverse(sk_c2),sk_c2),sk_c11)**.
% 0.43/0.60 139[5:Rew:53.0,130.0] || -> equal(identity,sk_c11)**.
% 0.43/0.60 140[5:Rew:139.0,52.0] || -> equal(multiply(sk_c11,u),u)**.
% 0.43/0.60 143[5:Rew:139.0,79.0] || -> equal(multiply(sk_c2,sk_c1),sk_c11)**.
% 0.43/0.60 150[5:Rew:139.0,129.0] || -> equal(multiply(inverse(sk_c2),sk_c11),sk_c1)**.
% 0.43/0.60 151[5:Rew:140.0,95.0] || -> equal(multiply(sk_c10,u),u)**.
% 0.43/0.60 166[5:Rew:122.0,150.0] || -> equal(sk_c1,sk_c10)**.
% 0.43/0.60 168[5:Rew:166.0,70.0] || -> equal(multiply(sk_c10,sk_c2),sk_c11)**.
% 0.43/0.60 171[5:Rew:166.0,143.0] || -> equal(multiply(sk_c2,sk_c10),sk_c11)**.
% 0.43/0.60 173[5:Rew:151.0,168.0] || -> equal(sk_c2,sk_c11)**.
% 0.43/0.60 177[5:Rew:173.0,74.0] || equal(inverse(u),sk_c11)** equal(sk_c2,u) equal(inverse(v),sk_c2) equal(sk_c11,u) equal(multiply(v,sk_c2),sk_c11)** -> .
% 0.43/0.60 179[5:Rew:140.0,171.0,173.0,171.0] || -> equal(sk_c10,sk_c11)**.
% 0.43/0.60 181[5:Rew:179.0,58.0] || -> equal(inverse(sk_c11),sk_c11)**.
% 0.43/0.60 192[5:Rew:139.0,127.0] || -> equal(multiply(inverse(inverse(u)),sk_c11),u)**.
% 0.43/0.60 201[5:Rew:120.0,192.0] || -> equal(multiply(u,sk_c11),u)**.
% 0.43/0.60 204[5:Rew:201.0,177.4,173.0,177.4,173.0,177.2,173.0,177.1] || equal(inverse(u),sk_c11)** equal(sk_c11,u) equal(inverse(v),sk_c11)** equal(sk_c11,u) equal(v,sk_c11) -> .
% 0.43/0.60 205[5:Obv:204.1] || equal(inverse(u),sk_c11)**+ equal(inverse(v),sk_c11)** equal(sk_c11,u) equal(v,sk_c11) -> .
% 0.43/0.60 511[5:SpL:181.0,205.0] || equal(sk_c11,sk_c11) equal(inverse(u),sk_c11)** equal(sk_c11,sk_c11) equal(u,sk_c11) -> .
% 0.43/0.60 514[5:Obv:511.2] || equal(inverse(u),sk_c11)** equal(u,sk_c11) -> .
% 0.43/0.60 516[5:SpL:181.0,514.0] || equal(sk_c11,sk_c11)* equal(sk_c11,sk_c11)* -> .
% 0.43/0.60 519[5:Obv:516.1] || -> .
% 0.43/0.60 520[5:Spt:519.0,29.1,70.0] || equal(multiply(sk_c1,sk_c2),sk_c11)** -> .
% 0.43/0.60 521[5:Spt:519.0,29.0] || -> equal(inverse(sk_c6),sk_c8)**.
% 0.43/0.60 527[5:MRR:26.1,520.0] || -> equal(inverse(sk_c5),sk_c8)**.
% 0.43/0.60 529[5:MRR:22.1,520.0] || -> equal(inverse(sk_c3),sk_c11)**.
% 0.43/0.60 530[0:Rew:120.0,127.0] || -> equal(multiply(u,identity),u)**.
% 0.43/0.60 534[5:MRR:25.1,520.0] || -> equal(multiply(sk_c5,sk_c8),sk_c11)**.
% 0.43/0.60 536[5:MRR:21.1,520.0] || -> equal(multiply(sk_c3,sk_c11),sk_c10)**.
% 0.43/0.60 561[3:SpR:79.0,97.0] || -> equal(multiply(inverse(sk_c2),identity),sk_c1)**.
% 0.43/0.60 563[3:Rew:530.0,561.0] || -> equal(inverse(sk_c2),sk_c1)**.
% 0.43/0.60 576[2:SpR:78.0,97.0] || -> equal(multiply(inverse(sk_c10),identity),sk_c11)**.
% 0.43/0.60 578[2:Rew:530.0,576.0] || -> equal(inverse(sk_c10),sk_c11)**.
% 0.43/0.60 606[5:SpR:534.0,97.0] || -> equal(multiply(inverse(sk_c5),sk_c11),sk_c8)**.
% 0.43/0.60 608[5:Rew:527.0,606.0] || -> equal(multiply(sk_c8,sk_c11),sk_c8)**.
% 0.43/0.60 614[5:SpR:536.0,97.0] || -> equal(multiply(inverse(sk_c3),sk_c10),sk_c11)**.
% 0.43/0.60 616[5:Rew:529.0,614.0] || -> equal(multiply(sk_c11,sk_c10),sk_c11)**.
% 0.43/0.60 624[5:SpR:608.0,97.0] || -> equal(multiply(inverse(sk_c8),sk_c8),sk_c11)**.
% 0.43/0.60 626[5:Rew:53.0,624.0] || -> equal(identity,sk_c11)**.
% 0.43/0.60 629[5:Rew:626.0,52.0] || -> equal(multiply(sk_c11,u),u)**.
% 0.43/0.60 633[5:Rew:626.0,530.0] || -> equal(multiply(u,sk_c11),u)**.
% 0.43/0.60 641[5:Rew:629.0,616.0] || -> equal(sk_c10,sk_c11)**.
% 0.43/0.60 657[5:Rew:641.0,58.0] || -> equal(inverse(sk_c11),sk_c11)**.
% 0.43/0.60 661[5:Rew:641.0,67.0] || -> equal(multiply(sk_c2,sk_c11),sk_c11)**.
% 0.43/0.60 690[5:Rew:633.0,661.0] || -> equal(sk_c2,sk_c11)**.
% 0.43/0.60 692[5:Rew:690.0,563.0] || -> equal(inverse(sk_c11),sk_c1)**.
% 0.43/0.60 693[5:Rew:690.0,520.0] || equal(multiply(sk_c1,sk_c11),sk_c11)** -> .
% 0.43/0.60 697[5:Rew:657.0,692.0] || -> equal(sk_c1,sk_c11)**.
% 0.43/0.60 714[5:Rew:633.0,693.0,697.0,693.0] || equal(sk_c11,sk_c11)* -> .
% 0.43/0.60 715[5:Obv:714.0] || -> .
% 0.43/0.60 751[4:Spt:715.0,49.1,67.0] || equal(multiply(sk_c2,sk_c10),sk_c11)** -> .
% 0.43/0.60 752[4:Spt:715.0,49.0] || -> equal(inverse(sk_c6),sk_c8)**.
% 0.43/0.60 754[4:MRR:46.1,751.0] || -> equal(inverse(sk_c5),sk_c8)**.
% 0.43/0.60 756[4:MRR:42.1,751.0] || -> equal(inverse(sk_c3),sk_c11)**.
% 0.43/0.60 759[4:MRR:45.1,751.0] || -> equal(multiply(sk_c5,sk_c8),sk_c11)**.
% 0.43/0.60 761[4:MRR:41.1,751.0] || -> equal(multiply(sk_c3,sk_c11),sk_c10)**.
% 0.43/0.60 806[4:SpR:759.0,97.0] || -> equal(multiply(inverse(sk_c5),sk_c11),sk_c8)**.
% 0.43/0.60 808[4:Rew:754.0,806.0] || -> equal(multiply(sk_c8,sk_c11),sk_c8)**.
% 0.43/0.60 814[4:SpR:761.0,97.0] || -> equal(multiply(inverse(sk_c3),sk_c10),sk_c11)**.
% 0.43/0.60 816[4:Rew:756.0,814.0] || -> equal(multiply(sk_c11,sk_c10),sk_c11)**.
% 0.43/0.60 827[4:SpR:808.0,97.0] || -> equal(multiply(inverse(sk_c8),sk_c8),sk_c11)**.
% 0.43/0.60 829[4:Rew:53.0,827.0] || -> equal(identity,sk_c11)**.
% 0.43/0.60 832[4:Rew:829.0,52.0] || -> equal(multiply(sk_c11,u),u)**.
% 0.43/0.60 833[4:Rew:829.0,530.0] || -> equal(multiply(u,sk_c11),u)**.
% 0.43/0.60 836[4:Rew:829.0,53.0] || -> equal(multiply(inverse(u),u),sk_c11)**.
% 0.43/0.60 842[4:Rew:832.0,816.0] || -> equal(sk_c10,sk_c11)**.
% 0.43/0.60 857[4:Rew:842.0,578.0] || -> equal(inverse(sk_c11),sk_c11)**.
% 0.43/0.60 865[4:Rew:842.0,57.4] || 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) -> .
% 0.43/0.60 924[4:Rew:833.0,865.4] || 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) -> .
% 0.43/0.60 952[4:SpR:836.0,97.0] || -> equal(multiply(inverse(inverse(u)),sk_c11),u)**.
% 0.43/0.60 961[4:Rew:833.0,952.0] || -> equal(inverse(inverse(u)),u)**.
% 0.43/0.60 981[4:SpR:961.0,836.0] || -> equal(multiply(u,inverse(u)),sk_c11)**.
% 0.43/0.60 1375[4:SpL:836.0,924.0] || 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) -> .
% 0.43/0.60 1388[4:Rew:836.0,1375.1,961.0,1375.1,857.0,1375.0] || equal(sk_c11,u) equal(sk_c11,u) equal(inverse(v),u) equal(multiply(v,u),sk_c11)** equal(u,sk_c11) -> .
% 0.43/0.60 1389[4:Obv:1388.1] || equal(inverse(u),v) equal(multiply(u,v),sk_c11)** equal(v,sk_c11) -> .
% 0.43/0.60 1555[4:SpL:981.0,1389.1] || equal(inverse(u),inverse(u))* equal(sk_c11,sk_c11) equal(inverse(u),sk_c11) -> .
% 0.43/0.60 1585[4:Obv:1555.1] || equal(inverse(u),sk_c11)** -> .
% 0.43/0.60 1586[4:UnC:1585.0,857.0] || -> .
% 0.43/0.60 1594[3:Spt:1586.0,39.1,65.0] || equal(inverse(sk_c1),sk_c2)** -> .
% 0.43/0.60 1595[3:Spt:1586.0,39.0] || -> equal(inverse(sk_c6),sk_c8)**.
% 0.43/0.60 1597[3:MRR:36.1,1594.0] || -> equal(inverse(sk_c5),sk_c8)**.
% 0.43/0.60 1599[3:MRR:32.1,1594.0] || -> equal(inverse(sk_c3),sk_c11)**.
% 0.43/0.60 1603[3:MRR:35.0,1594.0] || -> equal(multiply(sk_c5,sk_c8),sk_c11)**.
% 0.43/0.60 1605[3:MRR:31.0,1594.0] || -> equal(multiply(sk_c3,sk_c11),sk_c10)**.
% 0.43/0.60 1649[3:SpR:1603.0,97.0] || -> equal(multiply(inverse(sk_c5),sk_c11),sk_c8)**.
% 0.43/0.60 1651[3:Rew:1597.0,1649.0] || -> equal(multiply(sk_c8,sk_c11),sk_c8)**.
% 0.43/0.60 1657[3:SpR:1605.0,97.0] || -> equal(multiply(inverse(sk_c3),sk_c10),sk_c11)**.
% 0.43/0.60 1659[3:Rew:1599.0,1657.0] || -> equal(multiply(sk_c11,sk_c10),sk_c11)**.
% 0.43/0.60 1667[3:SpR:1651.0,97.0] || -> equal(multiply(inverse(sk_c8),sk_c8),sk_c11)**.
% 0.43/0.60 1669[3:Rew:53.0,1667.0] || -> equal(identity,sk_c11)**.
% 0.43/0.60 1671[3:Rew:1669.0,52.0] || -> equal(multiply(sk_c11,u),u)**.
% 0.43/0.60 1672[3:Rew:1669.0,530.0] || -> equal(multiply(u,sk_c11),u)**.
% 0.43/0.60 1673[3:Rew:1669.0,53.0] || -> equal(multiply(inverse(u),u),sk_c11)**.
% 0.43/0.60 1681[3:Rew:1671.0,1659.0] || -> equal(sk_c10,sk_c11)**.
% 0.43/0.60 1695[3:Rew:1681.0,58.0] || -> equal(inverse(sk_c11),sk_c11)**.
% 0.43/0.60 1702[3:Rew:1681.0,57.4] || 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) -> .
% 0.43/0.60 1758[3:Rew:1672.0,1702.4] || 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) -> .
% 0.43/0.60 1796[3:SpR:1673.0,97.0] || -> equal(multiply(inverse(inverse(u)),sk_c11),u)**.
% 0.43/0.60 1800[3:Rew:1672.0,1796.0] || -> equal(inverse(inverse(u)),u)**.
% 0.43/0.60 1807[3:SpR:1800.0,1673.0] || -> equal(multiply(u,inverse(u)),sk_c11)**.
% 0.43/0.60 2204[3:SpL:1673.0,1758.0] || 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) -> .
% 0.43/0.60 2214[3:Rew:1673.0,2204.1,1800.0,2204.1,1695.0,2204.0] || equal(sk_c11,u) equal(sk_c11,u) equal(inverse(v),u) equal(multiply(v,u),sk_c11)** equal(u,sk_c11) -> .
% 0.43/0.60 2215[3:Obv:2214.1] || equal(inverse(u),v) equal(multiply(u,v),sk_c11)** equal(v,sk_c11) -> .
% 0.43/0.60 2453[3:SpL:1807.0,2215.1] || equal(inverse(u),inverse(u))* equal(sk_c11,sk_c11) equal(inverse(u),sk_c11) -> .
% 0.43/0.60 2475[3:Obv:2453.1] || equal(inverse(u),sk_c11)** -> .
% 0.43/0.60 2476[3:UnC:2475.0,1695.0] || -> .
% 0.43/0.60 2482[2:Spt:2476.0,9.1,58.0] || equal(inverse(sk_c11),sk_c10)** -> .
% 0.43/0.60 2483[2:Spt:2476.0,9.0] || -> equal(inverse(sk_c6),sk_c8)**.
% 0.43/0.60 2485[2:MRR:6.1,2482.0] || -> equal(inverse(sk_c5),sk_c8)**.
% 0.43/0.60 2487[2:MRR:2.1,2482.0] || -> equal(inverse(sk_c3),sk_c11)**.
% 0.43/0.60 2489[2:MRR:7.0,2482.0] || -> equal(multiply(sk_c8,sk_c10),sk_c11)**.
% 0.43/0.60 2490[2:MRR:5.0,2482.0] || -> equal(multiply(sk_c5,sk_c8),sk_c11)**.
% 0.43/0.60 2492[2:MRR:1.0,2482.0] || -> equal(multiply(sk_c3,sk_c11),sk_c10)**.
% 0.43/0.60 2511[2:SpR:2490.0,97.0] || -> equal(multiply(inverse(sk_c5),sk_c11),sk_c8)**.
% 0.43/0.60 2513[2:Rew:2485.0,2511.0] || -> equal(multiply(sk_c8,sk_c11),sk_c8)**.
% 0.43/0.60 2519[2:SpR:2492.0,97.0] || -> equal(multiply(inverse(sk_c3),sk_c10),sk_c11)**.
% 0.43/0.60 2521[2:Rew:2487.0,2519.0] || -> equal(multiply(sk_c11,sk_c10),sk_c11)**.
% 0.43/0.60 2530[2:SpR:2513.0,97.0] || -> equal(multiply(inverse(sk_c8),sk_c8),sk_c11)**.
% 0.43/0.60 2532[2:Rew:53.0,2530.0] || -> equal(identity,sk_c11)**.
% 0.43/0.60 2533[2:Rew:2532.0,52.0] || -> equal(multiply(sk_c11,u),u)**.
% 0.43/0.60 2534[2:Rew:2532.0,530.0] || -> equal(multiply(u,sk_c11),u)**.
% 0.43/0.60 2539[2:Rew:2533.0,2521.0] || -> equal(sk_c10,sk_c11)**.
% 0.43/0.60 2545[2:Rew:2539.0,2482.0] || equal(inverse(sk_c11),sk_c11)** -> .
% 0.43/0.60 2546[2:Rew:2539.0,2489.0] || -> equal(multiply(sk_c8,sk_c11),sk_c11)**.
% 0.43/0.60 2557[2:Rew:2534.0,2546.0] || -> equal(sk_c8,sk_c11)**.
% 0.43/0.60 2559[2:Rew:2557.0,2485.0] || -> equal(inverse(sk_c5),sk_c11)**.
% 0.43/0.60 2561[2:Rew:2557.0,2490.0] || -> equal(multiply(sk_c5,sk_c11),sk_c11)**.
% 0.43/0.60 2581[2:Rew:2534.0,2561.0] || -> equal(sk_c5,sk_c11)**.
% 0.43/0.60 2582[2:Rew:2581.0,2559.0] || -> equal(inverse(sk_c11),sk_c11)**.
% 0.43/0.60 2583[2:MRR:2582.0,2545.0] || -> .
% 0.43/0.60 2604[1:Spt:2583.0,55.3,55.4,55.5,55.9,55.10,55.11] || equal(inverse(u),sk_c10) equal(inverse(v),sk_c11) equal(inverse(sk_c11),sk_c10) equal(multiply(u,sk_c10),sk_c9)**+ equal(multiply(v,sk_c11),sk_c10)** equal(multiply(sk_c11,sk_c9),sk_c10)** -> .
% 0.43/0.60 2606[2:Spt:8.1] || -> equal(inverse(sk_c11),sk_c10)**.
% 0.43/0.60 2607[2:Rew:2606.0,2604.2] || equal(inverse(u),sk_c10) equal(inverse(v),sk_c11) equal(sk_c10,sk_c10) equal(multiply(u,sk_c10),sk_c9)** equal(multiply(v,sk_c11),sk_c10)** equal(multiply(sk_c11,sk_c9),sk_c10)** -> .
% 0.43/0.60 2609[2:Obv:2607.2] || equal(inverse(u),sk_c10) equal(inverse(v),sk_c11) equal(multiply(u,sk_c10),sk_c9)** equal(multiply(v,sk_c11),sk_c10)** equal(multiply(sk_c11,sk_c9),sk_c10)** -> .
% 0.43/0.60 2613[3:Spt:18.1] || -> equal(multiply(sk_c11,sk_c9),sk_c10)**.
% 0.43/0.60 2615[3:Rew:2613.0,2609.4] || equal(inverse(u),sk_c10) equal(inverse(v),sk_c11) equal(multiply(u,sk_c10),sk_c9)** equal(multiply(v,sk_c11),sk_c10)** equal(sk_c10,sk_c10) -> .
% 0.43/0.60 2616[3:Obv:2615.4] || equal(inverse(u),sk_c10) equal(inverse(v),sk_c11) equal(multiply(u,sk_c10),sk_c9)** equal(multiply(v,sk_c11),sk_c10)** -> .
% 0.43/0.60 2619[3:SpR:2613.0,97.0] || -> equal(multiply(inverse(sk_c11),sk_c10),sk_c9)**.
% 0.43/0.60 2621[3:Rew:2606.0,2619.0] || -> equal(multiply(sk_c10,sk_c10),sk_c9)**.
% 0.43/0.60 2622[4:Spt:39.1] || -> equal(inverse(sk_c1),sk_c2)**.
% 0.43/0.60 2625[5:Spt:29.1] || -> equal(multiply(sk_c1,sk_c2),sk_c11)**.
% 0.43/0.60 2627[5:SpR:2625.0,97.0] || -> equal(multiply(inverse(sk_c1),sk_c11),sk_c2)**.
% 0.43/0.60 2629[5:Rew:2622.0,2627.0] || -> equal(multiply(sk_c2,sk_c11),sk_c2)**.
% 0.43/0.60 2635[3:SpR:2621.0,97.0] || -> equal(multiply(inverse(sk_c10),sk_c9),sk_c10)**.
% 0.43/0.60 2638[5:SpR:2629.0,97.0] || -> equal(multiply(inverse(sk_c2),sk_c2),sk_c11)**.
% 0.43/0.60 2640[5:Rew:53.0,2638.0] || -> equal(identity,sk_c11)**.
% 0.43/0.60 2641[5:Rew:2640.0,52.0] || -> equal(multiply(sk_c11,u),u)**.
% 0.43/0.60 2642[5:Rew:2640.0,530.0] || -> equal(multiply(u,sk_c11),u)**.
% 0.43/0.60 2643[5:Rew:2640.0,53.0] || -> equal(multiply(inverse(u),u),sk_c11)**.
% 0.43/0.60 2645[5:Rew:2641.0,2613.0] || -> equal(sk_c9,sk_c10)**.
% 0.43/0.60 2651[5:Rew:2645.0,2616.2] || equal(inverse(u),sk_c10) equal(inverse(v),sk_c11) equal(multiply(u,sk_c10),sk_c10)** equal(multiply(v,sk_c11),sk_c10)** -> .
% 0.43/0.60 2654[5:Rew:2645.0,2635.0] || -> equal(multiply(inverse(sk_c10),sk_c10),sk_c10)**.
% 0.43/0.60 2657[5:Rew:2643.0,2654.0] || -> equal(sk_c10,sk_c11)**.
% 0.43/0.60 2658[5:Rew:2657.0,2606.0] || -> equal(inverse(sk_c11),sk_c11)**.
% 0.43/0.60 2676[5:Rew:2642.0,2651.3,2657.0,2651.3,2642.0,2651.2,2657.0,2651.2,2657.0,2651.0] || equal(inverse(u),sk_c11)** equal(inverse(v),sk_c11)** equal(u,sk_c11) equal(v,sk_c11) -> .
% 0.43/0.60 2677[5:Con:2676.1] || equal(inverse(u),sk_c11)** equal(u,sk_c11) -> .
% 0.43/0.60 2706[5:SpL:2658.0,2677.0] || equal(sk_c11,sk_c11)* equal(sk_c11,sk_c11)* -> .
% 0.43/0.60 2707[5:Obv:2706.1] || -> .
% 0.43/0.60 2708[5:Spt:2707.0,29.1,2625.0] || equal(multiply(sk_c1,sk_c2),sk_c11)** -> .
% 0.43/0.60 2709[5:Spt:2707.0,29.0] || -> equal(inverse(sk_c6),sk_c8)**.
% 0.43/0.60 2711[5:MRR:26.1,2708.0] || -> equal(inverse(sk_c5),sk_c8)**.
% 0.43/0.60 2713[5:MRR:22.1,2708.0] || -> equal(inverse(sk_c3),sk_c11)**.
% 0.43/0.60 2716[5:MRR:25.1,2708.0] || -> equal(multiply(sk_c5,sk_c8),sk_c11)**.
% 0.43/0.60 2718[5:MRR:21.1,2708.0] || -> equal(multiply(sk_c3,sk_c11),sk_c10)**.
% 0.43/0.60 2748[5:SpR:2716.0,97.0] || -> equal(multiply(inverse(sk_c5),sk_c11),sk_c8)**.
% 0.43/0.60 2750[5:Rew:2711.0,2748.0] || -> equal(multiply(sk_c8,sk_c11),sk_c8)**.
% 0.43/0.60 2756[5:SpR:2718.0,97.0] || -> equal(multiply(inverse(sk_c3),sk_c10),sk_c11)**.
% 0.43/0.60 2758[5:Rew:2713.0,2756.0] || -> equal(multiply(sk_c11,sk_c10),sk_c11)**.
% 0.43/0.60 2764[5:SpR:2750.0,97.0] || -> equal(multiply(inverse(sk_c8),sk_c8),sk_c11)**.
% 0.43/0.60 2766[5:Rew:53.0,2764.0] || -> equal(identity,sk_c11)**.
% 0.43/0.60 2767[5:Rew:2766.0,530.0] || -> equal(multiply(u,sk_c11),u)**.
% 0.43/0.60 2768[5:Rew:2766.0,52.0] || -> equal(multiply(sk_c11,u),u)**.
% 0.43/0.60 2774[5:Rew:2767.0,2616.3] || equal(inverse(u),sk_c10) equal(inverse(v),sk_c11)** equal(multiply(u,sk_c10),sk_c9)** equal(v,sk_c10) -> .
% 0.43/0.60 2779[5:Rew:2768.0,2613.0] || -> equal(sk_c9,sk_c10)**.
% 0.43/0.60 2780[5:Rew:2768.0,2758.0] || -> equal(sk_c10,sk_c11)**.
% 0.43/0.60 2790[5:Rew:2780.0,2606.0] || -> equal(inverse(sk_c11),sk_c11)**.
% 0.43/0.60 2797[5:Rew:2780.0,2779.0] || -> equal(sk_c9,sk_c11)**.
% 0.43/0.60 2842[5:Rew:2780.0,2774.3,2767.0,2774.2,2780.0,2774.2,2797.0,2774.2,2780.0,2774.0] || equal(inverse(u),sk_c11)** equal(inverse(v),sk_c11)** equal(u,sk_c11) equal(v,sk_c11) -> .
% 0.43/0.60 2843[5:Con:2842.1] || equal(inverse(u),sk_c11)** equal(u,sk_c11) -> .
% 0.43/0.60 2884[5:SpL:2790.0,2843.0] || equal(sk_c11,sk_c11)* equal(sk_c11,sk_c11)* -> .
% 0.43/0.60 2885[5:Obv:2884.1] || -> .
% 0.43/0.60 2886[4:Spt:2885.0,39.1,2622.0] || equal(inverse(sk_c1),sk_c2)** -> .
% 0.43/0.60 2887[4:Spt:2885.0,39.0] || -> equal(inverse(sk_c6),sk_c8)**.
% 0.43/0.60 2889[4:MRR:36.1,2886.0] || -> equal(inverse(sk_c5),sk_c8)**.
% 0.43/0.60 2891[4:MRR:32.1,2886.0] || -> equal(inverse(sk_c3),sk_c11)**.
% 0.43/0.60 2894[4:MRR:35.0,2886.0] || -> equal(multiply(sk_c5,sk_c8),sk_c11)**.
% 0.43/0.60 2896[4:MRR:31.0,2886.0] || -> equal(multiply(sk_c3,sk_c11),sk_c10)**.
% 0.43/0.60 2924[4:SpR:2894.0,97.0] || -> equal(multiply(inverse(sk_c5),sk_c11),sk_c8)**.
% 0.43/0.60 2926[4:Rew:2889.0,2924.0] || -> equal(multiply(sk_c8,sk_c11),sk_c8)**.
% 0.43/0.60 2932[4:SpR:2896.0,97.0] || -> equal(multiply(inverse(sk_c3),sk_c10),sk_c11)**.
% 0.43/0.60 2934[4:Rew:2891.0,2932.0] || -> equal(multiply(sk_c11,sk_c10),sk_c11)**.
% 0.43/0.60 2943[4:SpR:2926.0,97.0] || -> equal(multiply(inverse(sk_c8),sk_c8),sk_c11)**.
% 0.43/0.60 2945[4:Rew:53.0,2943.0] || -> equal(identity,sk_c11)**.
% 0.43/0.60 2946[4:Rew:2945.0,52.0] || -> equal(multiply(sk_c11,u),u)**.
% 0.43/0.60 2947[4:Rew:2945.0,530.0] || -> equal(multiply(u,sk_c11),u)**.
% 0.43/0.60 2950[4:Rew:2946.0,2613.0] || -> equal(sk_c9,sk_c10)**.
% 0.43/0.60 2951[4:Rew:2946.0,2934.0] || -> equal(sk_c10,sk_c11)**.
% 0.43/0.60 2963[4:Rew:2950.0,2616.2] || equal(inverse(u),sk_c10) equal(inverse(v),sk_c11) equal(multiply(u,sk_c10),sk_c10)** equal(multiply(v,sk_c11),sk_c10)** -> .
% 0.43/0.60 2966[4:Rew:2951.0,2606.0] || -> equal(inverse(sk_c11),sk_c11)**.
% 0.43/0.60 3016[4:Rew:2947.0,2963.3,2951.0,2963.3,2947.0,2963.2,2951.0,2963.2,2951.0,2963.0] || equal(inverse(u),sk_c11)** equal(inverse(v),sk_c11)** equal(u,sk_c11) equal(v,sk_c11) -> .
% 0.43/0.60 3017[4:Con:3016.1] || equal(inverse(u),sk_c11)** equal(u,sk_c11) -> .
% 0.43/0.60 3090[4:SpL:2966.0,3017.0] || equal(sk_c11,sk_c11)* equal(sk_c11,sk_c11)* -> .
% 0.43/0.60 3092[4:Obv:3090.1] || -> .
% 0.43/0.60 3093[3:Spt:3092.0,18.1,2613.0] || equal(multiply(sk_c11,sk_c9),sk_c10)** -> .
% 0.43/0.60 3094[3:Spt:3092.0,18.0] || -> equal(inverse(sk_c7),sk_c6)**.
% 0.43/0.60 3095[3:MRR:16.1,3093.0] || -> equal(inverse(sk_c5),sk_c8)**.
% 0.43/0.60 3096[3:MRR:14.1,3093.0] || -> equal(inverse(sk_c4),sk_c10)**.
% 0.43/0.60 3097[3:MRR:12.1,3093.0] || -> equal(inverse(sk_c3),sk_c11)**.
% 0.43/0.60 3101[3:MRR:15.1,3093.0] || -> equal(multiply(sk_c5,sk_c8),sk_c11)**.
% 0.43/0.60 3102[3:MRR:13.1,3093.0] || -> equal(multiply(sk_c4,sk_c10),sk_c9)**.
% 0.43/0.60 3103[3:MRR:11.1,3093.0] || -> equal(multiply(sk_c3,sk_c11),sk_c10)**.
% 0.43/0.60 3124[3:SpR:3101.0,97.0] || -> equal(multiply(inverse(sk_c5),sk_c11),sk_c8)**.
% 0.43/0.60 3126[3:Rew:3095.0,3124.0] || -> equal(multiply(sk_c8,sk_c11),sk_c8)**.
% 0.43/0.60 3128[3:SpR:3102.0,97.0] || -> equal(multiply(inverse(sk_c4),sk_c9),sk_c10)**.
% 0.43/0.60 3130[3:Rew:3096.0,3128.0] || -> equal(multiply(sk_c10,sk_c9),sk_c10)**.
% 0.43/0.60 3132[3:SpR:3103.0,97.0] || -> equal(multiply(inverse(sk_c3),sk_c10),sk_c11)**.
% 0.43/0.60 3134[3:Rew:3097.0,3132.0] || -> equal(multiply(sk_c11,sk_c10),sk_c11)**.
% 0.43/0.60 3143[3:SpR:3126.0,97.0] || -> equal(multiply(inverse(sk_c8),sk_c8),sk_c11)**.
% 0.43/0.60 3145[3:Rew:53.0,3143.0] || -> equal(identity,sk_c11)**.
% 0.43/0.60 3146[3:Rew:3145.0,52.0] || -> equal(multiply(sk_c11,u),u)**.
% 0.43/0.60 3147[3:Rew:3145.0,530.0] || -> equal(multiply(u,sk_c11),u)**.
% 0.43/0.60 3150[3:Rew:3146.0,3134.0] || -> equal(sk_c10,sk_c11)**.
% 0.43/0.60 3152[3:Rew:3146.0,3093.0] || equal(sk_c9,sk_c10)** -> .
% 0.43/0.60 3160[3:Rew:3150.0,3102.0] || -> equal(multiply(sk_c4,sk_c11),sk_c9)**.
% 0.43/0.60 3165[3:Rew:3150.0,3130.0] || -> equal(multiply(sk_c11,sk_c9),sk_c11)**.
% 0.43/0.60 3166[3:Rew:3150.0,3152.0] || equal(sk_c9,sk_c11)** -> .
% 0.43/0.60 3179[3:Rew:3147.0,3160.0] || -> equal(sk_c9,sk_c4)**.
% 0.43/0.60 3180[3:Rew:3179.0,3166.0] || equal(sk_c4,sk_c11)** -> .
% 0.43/0.60 3181[3:Rew:3146.0,3165.0,3179.0,3165.0] || -> equal(sk_c4,sk_c11)**.
% 0.43/0.60 3182[3:MRR:3181.0,3180.0] || -> .
% 0.43/0.60 3207[2:Spt:3182.0,8.1,2606.0] || equal(inverse(sk_c11),sk_c10)** -> .
% 0.43/0.60 3208[2:Spt:3182.0,8.0] || -> equal(inverse(sk_c7),sk_c6)**.
% 0.43/0.60 3209[2:MRR:6.1,3207.0] || -> equal(inverse(sk_c5),sk_c8)**.
% 0.43/0.60 3211[2:MRR:2.1,3207.0] || -> equal(inverse(sk_c3),sk_c11)**.
% 0.43/0.60 3214[2:MRR:7.0,3207.0] || -> equal(multiply(sk_c8,sk_c10),sk_c11)**.
% 0.43/0.60 3215[2:MRR:5.0,3207.0] || -> equal(multiply(sk_c5,sk_c8),sk_c11)**.
% 0.43/0.60 3217[2:MRR:1.0,3207.0] || -> equal(multiply(sk_c3,sk_c11),sk_c10)**.
% 0.43/0.60 3236[2:SpR:3215.0,97.0] || -> equal(multiply(inverse(sk_c5),sk_c11),sk_c8)**.
% 0.43/0.60 3238[2:Rew:3209.0,3236.0] || -> equal(multiply(sk_c8,sk_c11),sk_c8)**.
% 0.43/0.60 3244[2:SpR:3217.0,97.0] || -> equal(multiply(inverse(sk_c3),sk_c10),sk_c11)**.
% 0.43/0.60 3246[2:Rew:3211.0,3244.0] || -> equal(multiply(sk_c11,sk_c10),sk_c11)**.
% 0.43/0.60 3252[2:SpR:3238.0,97.0] || -> equal(multiply(inverse(sk_c8),sk_c8),sk_c11)**.
% 0.43/0.60 3254[2:Rew:53.0,3252.0] || -> equal(identity,sk_c11)**.
% 0.43/0.60 3255[2:Rew:3254.0,52.0] || -> equal(multiply(sk_c11,u),u)**.
% 0.43/0.60 3256[2:Rew:3254.0,530.0] || -> equal(multiply(u,sk_c11),u)**.
% 0.43/0.61 3259[2:Rew:3255.0,3246.0] || -> equal(sk_c10,sk_c11)**.
% 0.43/0.61 3265[2:Rew:3259.0,3207.0] || equal(inverse(sk_c11),sk_c11)** -> .
% 0.43/0.61 3266[2:Rew:3259.0,3214.0] || -> equal(multiply(sk_c8,sk_c11),sk_c11)**.
% 0.43/0.61 3273[2:Rew:3256.0,3266.0] || -> equal(sk_c8,sk_c11)**.
% 0.43/0.61 3274[2:Rew:3273.0,3209.0] || -> equal(inverse(sk_c5),sk_c11)**.
% 0.43/0.61 3277[2:Rew:3273.0,3215.0] || -> equal(multiply(sk_c5,sk_c11),sk_c11)**.
% 0.43/0.61 3297[2:Rew:3256.0,3277.0] || -> equal(sk_c5,sk_c11)**.
% 0.43/0.61 3298[2:Rew:3297.0,3274.0] || -> equal(inverse(sk_c11),sk_c11)**.
% 0.43/0.61 3299[2:MRR:3298.0,3265.0] || -> .
% 0.43/0.61 % SZS output end Refutation
% 0.43/0.61 Formulae used in the proof : prove_this_1 prove_this_2 prove_this_5 prove_this_6 prove_this_7 prove_this_8 prove_this_9 prove_this_11 prove_this_12 prove_this_13 prove_this_14 prove_this_15 prove_this_16 prove_this_18 prove_this_21 prove_this_22 prove_this_25 prove_this_26 prove_this_29 prove_this_31 prove_this_32 prove_this_35 prove_this_36 prove_this_39 prove_this_41 prove_this_42 prove_this_45 prove_this_46 prove_this_49 prove_this_51 left_identity left_inverse associativity
% 0.43/0.61
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