TSTP Solution File: GRP129-4.004 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GRP129-4.004 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n029.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 11:45:45 EDT 2022
% Result : Unsatisfiable 32.98s 33.22s
% Output : Refutation 37.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP129-4.004 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.04/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 07:26:25 EDT 2022
% 0.12/0.34 % CPUTime :
% 32.98/33.22
% 32.98/33.22 SPASS V 3.9
% 32.98/33.22 SPASS beiseite: Proof found.
% 32.98/33.22 % SZS status Theorem
% 32.98/33.22 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 32.98/33.22 SPASS derived 13569 clauses, backtracked 4928 clauses, performed 105 splits and kept 12735 clauses.
% 32.98/33.22 SPASS allocated 95502 KBytes.
% 32.98/33.22 SPASS spent 0:0:32.86 on the problem.
% 32.98/33.22 0:00:00.03 for the input.
% 32.98/33.22 0:00:00.00 for the FLOTTER CNF translation.
% 32.98/33.22 0:00:00.25 for inferences.
% 32.98/33.22 0:00:00.29 for the backtracking.
% 32.98/33.22 0:0:32.22 for the reduction.
% 32.98/33.22
% 32.98/33.22
% 32.98/33.22 Here is a proof with depth 18, length 830 :
% 32.98/33.22 % SZS output start Refutation
% 32.98/33.22 1[0:Inp] group_element(u) group_element(v) || -> product(e_4,v,u) product(e_3,v,u) product(e_2,v,u) product(e_1,v,u)*.
% 32.98/33.22 2[0:Inp] group_element(u) group_element(v) || -> product(v,e_4,u) product(v,e_3,u) product(v,e_2,u) product(v,e_1,u)*.
% 32.98/33.22 3[0:Inp] || -> group_element(e_1)*.
% 32.98/33.22 4[0:Inp] || -> group_element(e_2)*.
% 32.98/33.22 5[0:Inp] || -> group_element(e_3)*.
% 32.98/33.22 6[0:Inp] || -> group_element(e_4)*.
% 32.98/33.22 7[0:Inp] || equalish(e_1,e_2)*+ -> .
% 32.98/33.22 8[0:Inp] || equalish(e_1,e_3)*+ -> .
% 32.98/33.22 9[0:Inp] || equalish(e_1,e_4)*+ -> .
% 32.98/33.22 10[0:Inp] || equalish(e_2,e_1)*+ -> .
% 32.98/33.22 11[0:Inp] || equalish(e_2,e_3)*+ -> .
% 32.98/33.22 12[0:Inp] || equalish(e_2,e_4)*+ -> .
% 32.98/33.22 13[0:Inp] || equalish(e_3,e_1)*+ -> .
% 32.98/33.22 14[0:Inp] || equalish(e_3,e_2)*+ -> .
% 32.98/33.22 15[0:Inp] || equalish(e_3,e_4)*+ -> .
% 32.98/33.22 16[0:Inp] || equalish(e_4,e_1)*+ -> .
% 32.98/33.22 17[0:Inp] || equalish(e_4,e_2)*+ -> .
% 32.98/33.22 18[0:Inp] || equalish(e_4,e_3)*+ -> .
% 32.98/33.22 19[0:Inp] group_element(u) group_element(v) || -> product(v,u,e_4) product(v,u,e_3) product(v,u,e_2) product(v,u,e_1)*.
% 32.98/33.22 20[0:Inp] || product(u,v,w)*+ product(u,v,x)* -> equalish(x,w)*.
% 32.98/33.22 21[0:Inp] || product(u,v,w)*+ product(u,x,w)* -> equalish(x,v)*.
% 32.98/33.22 22[0:Inp] || product(u,v,w)*+ product(x,v,w)* -> equalish(x,u)*.
% 32.98/33.22 23[0:Inp] || product(u,v,w)*+ product(v,x,w)* -> product(x,u,v)*.
% 32.98/33.22 24[0:Inp] || product(u,v,w)*+ product(w,u,x)* -> product(v,w,x)*.
% 32.98/33.22 25[0:Inp] || product(u,v,w)*+ product(x,u,v)* -> product(v,x,w)*.
% 32.98/33.22 30[0:Res:1.5,23.0] group_element(u) group_element(v) || product(v,w,u)*+ -> product(e_4,v,u) product(e_3,v,u) product(e_2,v,u)* product(w,e_1,v)*.
% 32.98/33.22 35[0:Res:1.5,22.0] group_element(u) group_element(v) || product(w,v,u)*+ -> product(e_4,v,u) product(e_3,v,u) product(e_2,v,u)* equalish(w,e_1).
% 32.98/33.22 36[0:Res:2.5,23.0] group_element(u) group_element(v) || product(e_1,w,u)*+ -> product(v,e_4,u) product(v,e_3,u) product(v,e_2,u)* product(w,v,e_1)*.
% 32.98/33.22 37[0:Res:2.5,24.0] group_element(u) group_element(v) || product(u,v,w)*+ -> product(v,e_4,u) product(v,e_3,u) product(v,e_2,u)* product(e_1,u,w)*.
% 32.98/33.22 38[0:Res:2.5,25.0] group_element(u) group_element(v) || product(w,v,e_1)*+ -> product(v,e_4,u) product(v,e_3,u) product(v,e_2,u)* product(e_1,w,u)*.
% 32.98/33.22 39[0:Res:2.5,20.0] group_element(u) group_element(v) || product(v,e_1,w)*+ -> product(v,e_4,u) product(v,e_3,u) product(v,e_2,u)* equalish(w,u)*.
% 32.98/33.22 40[0:Res:2.5,21.0] group_element(u) group_element(v) || product(v,w,u)*+ -> product(v,e_4,u) product(v,e_3,u) product(v,e_2,u)* equalish(w,e_1).
% 32.98/33.22 42[0:Res:19.5,23.0] group_element(u) group_element(v) || product(u,w,e_1)*+ -> product(v,u,e_4) product(v,u,e_3) product(v,u,e_2)* product(w,v,u)*.
% 32.98/33.22 44[0:Res:19.5,25.0] group_element(u) group_element(v) || product(w,v,u)*+ -> product(v,u,e_4) product(v,u,e_3) product(v,u,e_2)* product(u,w,e_1)*.
% 32.98/33.22 45[0:Res:19.5,20.0] group_element(u) group_element(v) || product(v,u,w)*+ -> product(v,u,e_4) product(v,u,e_3) product(v,u,e_2)* equalish(w,e_1).
% 32.98/33.22 49[0:Res:1.5,35.2] group_element(u) group_element(v) group_element(u) group_element(v) || -> product(e_4,v,u) product(e_3,v,u) product(e_2,v,u)* product(e_4,v,u) product(e_3,v,u) product(e_2,v,u)* equalish(e_1,e_1).
% 32.98/33.22 53[0:Obv:49.6] group_element(u) group_element(v) || -> product(e_4,v,u) product(e_3,v,u) product(e_2,v,u)* equalish(e_1,e_1).
% 32.98/33.22 56[1:Spt:53.0,53.1,53.2,53.3,53.4] group_element(u) group_element(v) || -> product(e_4,v,u) product(e_3,v,u) product(e_2,v,u)*.
% 32.98/33.22 57[1:Res:56.4,23.0] group_element(u) group_element(v) || product(v,w,u)*+ -> product(e_4,v,u) product(e_3,v,u)* product(w,e_2,v)*.
% 32.98/33.22 62[1:Res:56.4,22.0] group_element(u) group_element(v) || product(w,v,u)*+ -> product(e_4,v,u) product(e_3,v,u)* equalish(w,e_2).
% 32.98/33.22 65[1:Res:56.4,62.2] group_element(u) group_element(v) group_element(u) group_element(v) || -> product(e_4,v,u) product(e_3,v,u)* product(e_4,v,u) product(e_3,v,u)* equalish(e_2,e_2).
% 32.98/33.22 66[1:Obv:65.5] group_element(u) group_element(v) || -> product(e_4,v,u) product(e_3,v,u)* equalish(e_2,e_2).
% 32.98/33.22 71[2:Spt:66.0,66.1,66.2,66.3] group_element(u) group_element(v) || -> product(e_4,v,u) product(e_3,v,u)*.
% 32.98/33.22 72[2:Res:71.3,23.0] group_element(u) group_element(v) || product(v,w,u)*+ -> product(e_4,v,u)* product(w,e_3,v)*.
% 32.98/33.22 77[2:Res:71.3,22.0] group_element(u) group_element(v) || product(w,v,u)*+ -> product(e_4,v,u)* equalish(w,e_3).
% 32.98/33.22 102[2:Res:71.3,77.2] group_element(u) group_element(v) group_element(u) group_element(v) || -> product(e_4,v,u)* product(e_4,v,u)* equalish(e_3,e_3).
% 32.98/33.22 103[2:Obv:102.4] group_element(u) group_element(v) || -> product(e_4,v,u)* equalish(e_3,e_3).
% 32.98/33.22 108[3:Spt:103.0,103.1,103.2] group_element(u) group_element(v) || -> product(e_4,v,u)*.
% 32.98/33.22 112[3:Res:108.2,20.0] group_element(u) group_element(v) || product(e_4,v,w)*+ -> equalish(w,u)*.
% 32.98/33.22 119[0:Res:2.5,40.2] group_element(u) group_element(v) group_element(u) group_element(v) || -> product(v,e_4,u) product(v,e_3,u) product(v,e_2,u)* product(v,e_4,u) product(v,e_3,u) product(v,e_2,u)* equalish(e_1,e_1).
% 32.98/33.22 122[0:Obv:119.6] group_element(u) group_element(v) || -> product(v,e_4,u) product(v,e_3,u) product(v,e_2,u)* equalish(e_1,e_1).
% 32.98/33.22 127[3:Res:108.2,112.2] group_element(u) group_element(v) group_element(w) group_element(v) || -> equalish(u,w)*.
% 32.98/33.22 128[3:Obv:127.1] group_element(u) group_element(v) group_element(w) || -> equalish(u,v)*.
% 32.98/33.22 129[3:Con:128.2] group_element(u) group_element(v) || -> equalish(u,v)*.
% 32.98/33.22 142[3:Res:129.2,7.0] group_element(e_1) group_element(e_2) || -> .
% 32.98/33.22 154[3:SSi:142.1,142.0,4.0,3.0] || -> .
% 32.98/33.22 155[3:Spt:154.0,103.3] || -> equalish(e_3,e_3)*.
% 32.98/33.22 173[0:Res:2.5,39.2] group_element(u) group_element(v) group_element(w) group_element(v) || -> product(v,e_4,u) product(v,e_3,u) product(v,e_2,u)* product(v,e_4,w) product(v,e_3,w) product(v,e_2,w)* equalish(u,w)*.
% 32.98/33.22 176[0:Obv:173.1] group_element(u) group_element(v) group_element(w) || -> product(w,e_4,u) product(w,e_3,u) product(w,e_2,u)* product(w,e_4,v) product(w,e_3,v) product(w,e_2,v)* equalish(u,v)*.
% 32.98/33.22 192[2:Res:71.3,72.2] group_element(u) group_element(v) group_element(u) group_element(e_3) || -> product(e_4,v,u)* product(e_4,e_3,u)* product(v,e_3,e_3)*.
% 32.98/33.22 193[2:Obv:192.0] group_element(u) group_element(v) group_element(e_3) || -> product(e_4,u,v)* product(e_4,e_3,v)* product(u,e_3,e_3)*.
% 32.98/33.22 194[2:SSi:193.2,5.0] group_element(u) group_element(v) || -> product(e_4,u,v)* product(e_4,e_3,v)* product(u,e_3,e_3)*.
% 32.98/33.22 199[2:Fac:194.3,194.4] group_element(e_4) group_element(e_3) || -> product(e_4,e_4,e_3) product(e_4,e_3,e_3)*.
% 32.98/33.22 232[2:SSi:199.1,199.0,5.0,6.0] || -> product(e_4,e_4,e_3) product(e_4,e_3,e_3)*.
% 32.98/33.22 270[2:Res:232.1,20.0] || product(e_4,e_3,u)* -> product(e_4,e_4,e_3) equalish(u,e_3).
% 32.98/33.22 273[2:Res:232.1,72.2] group_element(e_3) group_element(e_4) || -> product(e_4,e_4,e_3) product(e_4,e_4,e_3) product(e_3,e_3,e_4)*.
% 32.98/33.22 277[2:Obv:273.2] group_element(e_3) group_element(e_4) || -> product(e_4,e_4,e_3) product(e_3,e_3,e_4)*.
% 32.98/33.22 278[2:SSi:277.1,277.0,6.0,5.0] || -> product(e_4,e_4,e_3) product(e_3,e_3,e_4)*.
% 32.98/33.22 280[4:Spt:278.0] || -> product(e_4,e_4,e_3)*.
% 32.98/33.22 281[4:Res:280.0,23.0] || product(e_4,u,e_3)*+ -> product(u,e_4,e_4)*.
% 32.98/33.22 284[4:Res:280.0,20.0] || product(e_4,e_4,u)*+ -> equalish(u,e_3).
% 32.98/33.22 320[4:Res:280.0,281.0] || -> product(e_4,e_4,e_4)*.
% 32.98/33.22 331[4:Res:320.0,284.0] || -> equalish(e_4,e_3)*.
% 32.98/33.22 332[4:MRR:331.0,18.0] || -> .
% 32.98/33.22 336[4:Spt:332.0,278.0,280.0] || product(e_4,e_4,e_3)*+ -> .
% 32.98/33.22 337[4:Spt:332.0,278.1] || -> product(e_3,e_3,e_4)*.
% 32.98/33.22 339[4:MRR:270.1,336.0] || product(e_4,e_3,u)*+ -> equalish(u,e_3).
% 32.98/33.22 352[4:Res:337.0,20.0] || product(e_3,e_3,u)*+ -> equalish(u,e_4).
% 32.98/33.22 387[0:Res:19.5,45.2] group_element(u) group_element(v) group_element(u) group_element(v) || -> product(v,u,e_4) product(v,u,e_3) product(v,u,e_2)* product(v,u,e_4) product(v,u,e_3) product(v,u,e_2)* equalish(e_1,e_1).
% 32.98/33.22 402[0:Obv:387.6] group_element(u) group_element(v) || -> product(v,u,e_4) product(v,u,e_3) product(v,u,e_2)* equalish(e_1,e_1).
% 32.98/33.22 405[4:Res:194.4,352.0] group_element(e_3) group_element(u) || -> product(e_4,e_3,u)* product(e_4,e_3,u)* equalish(e_3,e_4).
% 32.98/33.22 408[4:Obv:405.2] group_element(e_3) group_element(u) || -> product(e_4,e_3,u)* equalish(e_3,e_4).
% 32.98/33.22 409[4:SSi:408.0,5.0] group_element(u) || -> product(e_4,e_3,u)* equalish(e_3,e_4).
% 32.98/33.22 410[4:MRR:409.2,15.0] group_element(u) || -> product(e_4,e_3,u)*.
% 32.98/33.22 425[4:Res:410.1,339.0] group_element(u) || -> equalish(u,e_3)*.
% 32.98/33.22 433[4:Res:425.1,8.0] group_element(e_1) || -> .
% 32.98/33.22 436[4:SSi:433.0,3.0] || -> .
% 32.98/33.22 437[2:Spt:436.0,66.4] || -> equalish(e_2,e_2)*.
% 32.98/33.22 439[0:Res:2.5,38.2] group_element(e_1) group_element(u) group_element(v) group_element(e_1) || -> product(u,e_4,e_1) product(u,e_3,e_1) product(u,e_2,e_1)* product(e_1,e_4,v) product(e_1,e_3,v) product(e_1,e_2,v)* product(e_1,u,v)*.
% 32.98/33.22 440[0:Obv:439.0] group_element(u) group_element(v) group_element(e_1) || -> product(u,e_4,e_1) product(u,e_3,e_1) product(u,e_2,e_1)* product(e_1,e_4,v) product(e_1,e_3,v) product(e_1,e_2,v)* product(e_1,u,v)*.
% 32.98/33.22 441[0:SSi:440.2,3.0] group_element(u) group_element(v) || -> product(u,e_4,e_1) product(u,e_3,e_1) product(u,e_2,e_1)* product(e_1,e_4,v) product(e_1,e_3,v) product(e_1,e_2,v)* product(e_1,u,v)*.
% 32.98/33.22 468[3:Spt:122.0,122.1,122.2,122.3,122.4] group_element(u) group_element(v) || -> product(v,e_4,u) product(v,e_3,u) product(v,e_2,u)*.
% 32.98/33.22 471[3:Res:468.4,25.0] group_element(u) group_element(v) || product(w,v,e_2)*+ -> product(v,e_4,u) product(v,e_3,u)* product(e_2,w,u)*.
% 32.98/33.22 483[4:Spt:402.0,402.1,402.2,402.3,402.4] group_element(u) group_element(v) || -> product(v,u,e_4) product(v,u,e_3) product(v,u,e_2)*.
% 32.98/33.22 487[4:Res:483.4,20.0] group_element(u) group_element(v) || product(v,u,w)*+ -> product(v,u,e_4) product(v,u,e_3)* equalish(w,e_2).
% 32.98/33.22 489[4:Res:483.4,22.0] group_element(u) group_element(v) || product(w,u,e_2)*+ -> product(v,u,e_4) product(v,u,e_3)* equalish(w,v)*.
% 32.98/33.22 642[0:Fac:441.7,441.8] group_element(e_2) group_element(u) || -> product(e_2,e_4,e_1) product(e_2,e_3,e_1) product(e_2,e_2,e_1) product(e_1,e_4,u) product(e_1,e_3,u) product(e_1,e_2,u)*.
% 32.98/33.22 678[0:SSi:642.0,4.0] group_element(u) || -> product(e_2,e_4,e_1) product(e_2,e_3,e_1) product(e_2,e_2,e_1) product(e_1,e_4,u) product(e_1,e_3,u) product(e_1,e_2,u)*.
% 32.98/33.22 699[3:Res:468.4,471.2] group_element(e_2) group_element(u) group_element(v) group_element(e_2) || -> product(u,e_4,e_2) product(u,e_3,e_2)* product(e_2,e_4,v) product(e_2,e_3,v)* product(e_2,u,v)*.
% 32.98/33.22 704[3:Obv:699.0] group_element(u) group_element(v) group_element(e_2) || -> product(u,e_4,e_2) product(u,e_3,e_2)* product(e_2,e_4,v) product(e_2,e_3,v)* product(e_2,u,v)*.
% 32.98/33.22 705[3:SSi:704.2,4.0] group_element(u) group_element(v) || -> product(u,e_4,e_2) product(u,e_3,e_2)* product(e_2,e_4,v) product(e_2,e_3,v)* product(e_2,u,v)*.
% 32.98/33.22 769[5:Spt:678.0,678.4,678.5,678.6] group_element(u) || -> product(e_1,e_4,u) product(e_1,e_3,u) product(e_1,e_2,u)*.
% 32.98/33.22 770[5:Res:769.3,23.0] group_element(u) || product(e_2,v,u)*+ -> product(e_1,e_4,u) product(e_1,e_3,u)* product(v,e_1,e_2)*.
% 32.98/33.22 775[5:Res:769.3,22.0] group_element(u) || product(v,e_2,u)*+ -> product(e_1,e_4,u) product(e_1,e_3,u)* equalish(v,e_1).
% 32.98/33.22 776[5:Res:769.3,489.2] group_element(e_2) group_element(e_2) group_element(u) || -> product(e_1,e_4,e_2) product(e_1,e_3,e_2)* product(u,e_2,e_4) product(u,e_2,e_3)* equalish(e_1,u).
% 32.98/33.22 777[5:Res:769.3,62.2] group_element(u) group_element(u) group_element(e_2) || -> product(e_1,e_4,u) product(e_1,e_3,u)* product(e_4,e_2,u) product(e_3,e_2,u) equalish(e_1,e_2).
% 32.98/33.22 787[5:Obv:777.0] group_element(u) group_element(e_2) || -> product(e_1,e_4,u) product(e_1,e_3,u)* product(e_4,e_2,u) product(e_3,e_2,u) equalish(e_1,e_2).
% 32.98/33.22 788[5:SSi:787.1,4.0] group_element(u) || -> product(e_1,e_4,u) product(e_1,e_3,u)* product(e_4,e_2,u) product(e_3,e_2,u) equalish(e_1,e_2).
% 32.98/33.22 789[5:MRR:788.5,7.0] group_element(u) || -> product(e_1,e_4,u) product(e_1,e_3,u)* product(e_4,e_2,u) product(e_3,e_2,u).
% 32.98/33.22 790[5:Obv:776.0] group_element(e_2) group_element(u) || -> product(e_1,e_4,e_2) product(e_1,e_3,e_2)* product(u,e_2,e_4) product(u,e_2,e_3)* equalish(e_1,u).
% 32.98/33.22 791[5:SSi:790.0,4.0] group_element(u) || -> product(e_1,e_4,e_2) product(e_1,e_3,e_2)* product(u,e_2,e_4) product(u,e_2,e_3)* equalish(e_1,u).
% 32.98/33.22 838[5:Res:769.3,775.1] group_element(u) group_element(u) || -> product(e_1,e_4,u) product(e_1,e_3,u)* product(e_1,e_4,u) product(e_1,e_3,u)* equalish(e_1,e_1).
% 32.98/33.22 842[5:Obv:838.3] group_element(u) || -> product(e_1,e_4,u) product(e_1,e_3,u)* equalish(e_1,e_1).
% 32.98/33.22 852[6:Spt:842.0,842.1,842.2] group_element(u) || -> product(e_1,e_4,u) product(e_1,e_3,u)*.
% 32.98/33.22 857[6:Res:852.2,21.0] group_element(u) || product(e_1,v,u)*+ -> product(e_1,e_4,u)* equalish(v,e_3).
% 32.98/33.22 858[6:Res:852.2,22.0] group_element(u) || product(v,e_3,u)*+ -> product(e_1,e_4,u)* equalish(v,e_1).
% 32.98/33.22 863[6:Res:852.2,487.2] group_element(u) group_element(e_3) group_element(e_1) || -> product(e_1,e_4,u)* product(e_1,e_3,e_4) product(e_1,e_3,e_3)* equalish(u,e_2).
% 32.98/33.22 867[6:SSi:863.2,863.1,3.0,5.0] group_element(u) || -> product(e_1,e_4,u)* product(e_1,e_3,e_4) product(e_1,e_3,e_3)* equalish(u,e_2).
% 32.98/33.22 904[6:Res:852.2,857.1] group_element(u) group_element(u) || -> product(e_1,e_4,u)* product(e_1,e_4,u)* equalish(e_3,e_3).
% 32.98/33.22 910[6:Obv:904.2] group_element(u) || -> product(e_1,e_4,u)* equalish(e_3,e_3).
% 32.98/33.22 928[7:Spt:910.0,910.1] group_element(u) || -> product(e_1,e_4,u)*.
% 32.98/33.22 932[7:Res:928.1,20.0] group_element(u) || product(e_1,e_4,v)*+ -> equalish(v,u)*.
% 32.98/33.22 976[7:Res:928.1,932.1] group_element(u) group_element(v) || -> equalish(u,v)*.
% 32.98/33.22 988[7:Res:976.2,7.0] group_element(e_1) group_element(e_2) || -> .
% 32.98/33.22 1000[7:SSi:988.1,988.0,4.0,3.0] || -> .
% 32.98/33.22 1001[7:Spt:1000.0,910.2] || -> equalish(e_3,e_3)*.
% 32.98/33.22 1141[6:Res:852.2,858.1] group_element(u) group_element(u) || -> product(e_1,e_4,u)* product(e_1,e_4,u)* equalish(e_1,e_1).
% 32.98/33.22 1142[6:Obv:1141.2] group_element(u) || -> product(e_1,e_4,u)* equalish(e_1,e_1).
% 32.98/33.22 1145[8:Spt:1142.0,1142.1] group_element(u) || -> product(e_1,e_4,u)*.
% 32.98/33.22 1149[8:Res:1145.1,20.0] group_element(u) || product(e_1,e_4,v)*+ -> equalish(v,u)*.
% 32.98/33.22 1190[8:Res:1145.1,1149.1] group_element(u) group_element(v) || -> equalish(u,v)*.
% 32.98/33.22 1210[8:Res:1190.2,7.0] group_element(e_1) group_element(e_2) || -> .
% 32.98/33.22 1222[8:SSi:1210.1,1210.0,4.0,3.0] || -> .
% 32.98/33.22 1223[8:Spt:1222.0,1142.2] || -> equalish(e_1,e_1)*.
% 32.98/33.22 1496[9:Spt:867.0,867.1,867.4] group_element(u) || -> product(e_1,e_4,u)* equalish(u,e_2).
% 32.98/33.22 1508[9:Res:1496.1,487.2] group_element(u) group_element(e_4) group_element(e_1) || -> equalish(u,e_2)* product(e_1,e_4,e_4) product(e_1,e_4,e_3)* equalish(u,e_2)*.
% 32.98/33.22 1513[9:Obv:1508.3] group_element(u) group_element(e_4) group_element(e_1) || -> product(e_1,e_4,e_4) product(e_1,e_4,e_3)* equalish(u,e_2)*.
% 32.98/33.22 1514[9:SSi:1513.2,1513.1,3.0,6.0] group_element(u) || -> product(e_1,e_4,e_4) product(e_1,e_4,e_3)* equalish(u,e_2)*.
% 32.98/33.22 1521[10:Spt:1514.0,1514.3] group_element(u) || -> equalish(u,e_2)*.
% 32.98/33.22 1524[10:Res:1521.1,7.0] group_element(e_1) || -> .
% 32.98/33.22 1527[10:SSi:1524.0,3.0] || -> .
% 32.98/33.22 1528[10:Spt:1527.0,1514.1,1514.2] || -> product(e_1,e_4,e_4) product(e_1,e_4,e_3)*.
% 32.98/33.22 1535[10:Res:1528.1,62.2] group_element(e_3) group_element(e_4) || -> product(e_1,e_4,e_4)* product(e_4,e_4,e_3) product(e_3,e_4,e_3) equalish(e_1,e_2).
% 32.98/33.22 1541[10:SSi:1535.1,1535.0,6.0,5.0] || -> product(e_1,e_4,e_4)* product(e_4,e_4,e_3) product(e_3,e_4,e_3) equalish(e_1,e_2).
% 32.98/33.22 1542[10:MRR:1541.3,7.0] || -> product(e_1,e_4,e_4)* product(e_4,e_4,e_3) product(e_3,e_4,e_3).
% 32.98/33.22 1581[11:Spt:1542.0] || -> product(e_1,e_4,e_4)*.
% 32.98/33.22 1587[11:Res:1581.0,22.0] || product(u,e_4,e_4)*+ -> equalish(u,e_1).
% 32.98/33.22 1588[11:Res:1581.0,62.2] group_element(e_4) group_element(e_4) || -> product(e_4,e_4,e_4) product(e_3,e_4,e_4)* equalish(e_1,e_2).
% 32.98/33.22 1593[11:Obv:1588.0] group_element(e_4) || -> product(e_4,e_4,e_4) product(e_3,e_4,e_4)* equalish(e_1,e_2).
% 32.98/33.22 1594[11:SSi:1593.0,6.0] || -> product(e_4,e_4,e_4) product(e_3,e_4,e_4)* equalish(e_1,e_2).
% 32.98/33.22 1595[11:MRR:1594.2,7.0] || -> product(e_4,e_4,e_4) product(e_3,e_4,e_4)*.
% 32.98/33.22 1642[11:Res:1595.1,1587.0] || -> product(e_4,e_4,e_4)* equalish(e_3,e_1).
% 32.98/33.22 1643[11:MRR:1642.1,13.0] || -> product(e_4,e_4,e_4)*.
% 32.98/33.22 1655[11:Res:1643.0,1587.0] || -> equalish(e_4,e_1)*.
% 32.98/33.22 1656[11:MRR:1655.0,16.0] || -> .
% 32.98/33.22 1661[11:Spt:1656.0,1542.0,1581.0] || product(e_1,e_4,e_4)*+ -> .
% 32.98/33.22 1662[11:Spt:1656.0,1542.1,1542.2] || -> product(e_4,e_4,e_3) product(e_3,e_4,e_3)*.
% 32.98/33.22 1688[11:Res:1496.1,1661.0] group_element(e_4) || -> equalish(e_4,e_2)*.
% 32.98/33.22 1692[11:SSi:1688.0,6.0] || -> equalish(e_4,e_2)*.
% 32.98/33.22 1693[11:MRR:1692.0,17.0] || -> .
% 32.98/33.22 1697[9:Spt:1693.0,867.2,867.3] || -> product(e_1,e_3,e_4) product(e_1,e_3,e_3)*.
% 32.98/33.22 1701[9:Res:1697.1,20.0] || product(e_1,e_3,u)* -> product(e_1,e_3,e_4)* equalish(u,e_3).
% 32.98/33.22 1704[9:Res:1697.1,62.2] group_element(e_3) group_element(e_3) || -> product(e_1,e_3,e_4)* product(e_4,e_3,e_3) product(e_3,e_3,e_3) equalish(e_1,e_2).
% 32.98/33.22 1712[9:Obv:1704.0] group_element(e_3) || -> product(e_1,e_3,e_4)* product(e_4,e_3,e_3) product(e_3,e_3,e_3) equalish(e_1,e_2).
% 32.98/33.22 1713[9:SSi:1712.0,5.0] || -> product(e_1,e_3,e_4)* product(e_4,e_3,e_3) product(e_3,e_3,e_3) equalish(e_1,e_2).
% 32.98/33.22 1714[9:MRR:1713.3,7.0] || -> product(e_1,e_3,e_4)* product(e_4,e_3,e_3) product(e_3,e_3,e_3).
% 32.98/33.22 1716[10:Spt:1714.0] || -> product(e_1,e_3,e_4)*.
% 32.98/33.22 1720[10:Res:1716.0,20.0] || product(e_1,e_3,u)*+ -> equalish(u,e_4).
% 32.98/33.22 1723[10:Res:1716.0,62.2] group_element(e_4) group_element(e_3) || -> product(e_4,e_3,e_4) product(e_3,e_3,e_4)* equalish(e_1,e_2).
% 32.98/33.22 1735[10:SSi:1723.1,1723.0,5.0,6.0] || -> product(e_4,e_3,e_4) product(e_3,e_3,e_4)* equalish(e_1,e_2).
% 32.98/33.22 1736[10:MRR:1735.2,7.0] || -> product(e_4,e_3,e_4) product(e_3,e_3,e_4)*.
% 32.98/33.22 1746[10:Res:1736.1,858.1] group_element(e_4) || -> product(e_4,e_3,e_4) product(e_1,e_4,e_4)* equalish(e_3,e_1).
% 32.98/33.22 1750[10:SSi:1746.0,6.0] || -> product(e_4,e_3,e_4) product(e_1,e_4,e_4)* equalish(e_3,e_1).
% 32.98/33.22 1751[10:MRR:1750.2,13.0] || -> product(e_4,e_3,e_4) product(e_1,e_4,e_4)*.
% 32.98/33.22 1755[11:Spt:1751.0] || -> product(e_4,e_3,e_4)*.
% 32.98/33.22 1763[11:Res:1755.0,858.1] group_element(e_4) || -> product(e_1,e_4,e_4)* equalish(e_4,e_1).
% 32.98/33.22 1770[11:SSi:1763.0,6.0] || -> product(e_1,e_4,e_4)* equalish(e_4,e_1).
% 32.98/33.22 1771[11:MRR:1770.1,16.0] || -> product(e_1,e_4,e_4)*.
% 32.98/33.22 1779[11:Res:1771.0,20.0] || product(e_1,e_4,u)* -> equalish(u,e_4).
% 32.98/33.22 1812[10:Res:852.2,1720.0] group_element(u) || -> product(e_1,e_4,u)* equalish(u,e_4).
% 32.98/33.22 1814[11:MRR:1812.1,1779.0] group_element(u) || -> equalish(u,e_4)*.
% 32.98/33.22 1817[11:Res:1814.1,9.0] group_element(e_1) || -> .
% 32.98/33.22 1820[11:SSi:1817.0,3.0] || -> .
% 32.98/33.22 1821[11:Spt:1820.0,1751.0,1755.0] || product(e_4,e_3,e_4)*+ -> .
% 32.98/33.22 1822[11:Spt:1820.0,1751.1] || -> product(e_1,e_4,e_4)*.
% 32.98/33.22 1834[11:Res:1822.0,20.0] || product(e_1,e_4,u)* -> equalish(u,e_4).
% 32.98/33.22 1842[11:MRR:1812.1,1834.0] group_element(u) || -> equalish(u,e_4)*.
% 32.98/33.22 1862[11:Res:1842.1,9.0] group_element(e_1) || -> .
% 32.98/33.22 1865[11:SSi:1862.0,3.0] || -> .
% 32.98/33.22 1866[10:Spt:1865.0,1714.0,1716.0] || product(e_1,e_3,e_4)*+ -> .
% 32.98/33.22 1867[10:Spt:1865.0,1714.1,1714.2] || -> product(e_4,e_3,e_3) product(e_3,e_3,e_3)*.
% 32.98/33.22 1869[10:MRR:1701.1,1866.0] || product(e_1,e_3,u)*+ -> equalish(u,e_3).
% 32.98/33.22 1891[10:Res:1867.1,858.1] group_element(e_3) || -> product(e_4,e_3,e_3) product(e_1,e_4,e_3)* equalish(e_3,e_1).
% 32.98/33.22 1895[10:SSi:1891.0,5.0] || -> product(e_4,e_3,e_3) product(e_1,e_4,e_3)* equalish(e_3,e_1).
% 32.98/33.22 1896[10:MRR:1895.2,13.0] || -> product(e_4,e_3,e_3) product(e_1,e_4,e_3)*.
% 32.98/33.22 1948[11:Spt:1896.0] || -> product(e_4,e_3,e_3)*.
% 32.98/33.22 1956[11:Res:1948.0,858.1] group_element(e_3) || -> product(e_1,e_4,e_3)* equalish(e_4,e_1).
% 32.98/33.22 1963[11:SSi:1956.0,5.0] || -> product(e_1,e_4,e_3)* equalish(e_4,e_1).
% 32.98/33.22 1964[11:MRR:1963.1,16.0] || -> product(e_1,e_4,e_3)*.
% 32.98/33.22 1971[11:Res:1964.0,20.0] || product(e_1,e_4,u)* -> equalish(u,e_3).
% 32.98/33.22 2029[10:Res:852.2,1869.0] group_element(u) || -> product(e_1,e_4,u)* equalish(u,e_3).
% 32.98/33.22 2031[11:MRR:2029.1,1971.0] group_element(u) || -> equalish(u,e_3)*.
% 32.98/33.22 2034[11:Res:2031.1,8.0] group_element(e_1) || -> .
% 32.98/33.22 2037[11:SSi:2034.0,3.0] || -> .
% 32.98/33.22 2038[11:Spt:2037.0,1896.0,1948.0] || product(e_4,e_3,e_3)*+ -> .
% 32.98/33.22 2039[11:Spt:2037.0,1896.1] || -> product(e_1,e_4,e_3)*.
% 32.98/33.22 2051[11:Res:2039.0,20.0] || product(e_1,e_4,u)* -> equalish(u,e_3).
% 32.98/33.22 2059[11:MRR:2029.1,2051.0] group_element(u) || -> equalish(u,e_3)*.
% 32.98/33.22 2081[11:Res:2059.1,8.0] group_element(e_1) || -> .
% 32.98/33.22 2084[11:SSi:2081.0,3.0] || -> .
% 32.98/33.22 2085[6:Spt:2084.0,842.3] || -> equalish(e_1,e_1)*.
% 32.98/33.22 2207[7:Spt:791.0,791.3,791.4,791.5] group_element(u) || -> product(u,e_2,e_4) product(u,e_2,e_3)* equalish(e_1,u).
% 32.98/33.22 2216[7:Res:2207.2,770.1] group_element(e_2) group_element(e_3) || -> product(e_2,e_2,e_4) equalish(e_1,e_2) product(e_1,e_4,e_3) product(e_1,e_3,e_3)* product(e_2,e_1,e_2).
% 32.98/33.22 2231[7:SSi:2216.1,2216.0,5.0,4.0] || -> product(e_2,e_2,e_4) equalish(e_1,e_2) product(e_1,e_4,e_3) product(e_1,e_3,e_3)* product(e_2,e_1,e_2).
% 32.98/33.22 2232[7:MRR:2231.1,7.0] || -> product(e_2,e_2,e_4) product(e_1,e_4,e_3) product(e_1,e_3,e_3)* product(e_2,e_1,e_2).
% 32.98/33.22 2253[8:Spt:2232.0] || -> product(e_2,e_2,e_4)*.
% 32.98/33.22 2254[8:Res:2253.0,23.0] || product(e_2,u,e_4)*+ -> product(u,e_2,e_2)*.
% 32.98/33.22 2257[8:Res:2253.0,20.0] || product(e_2,e_2,u)*+ -> equalish(u,e_4).
% 32.98/33.22 2340[8:Res:2253.0,2254.0] || -> product(e_2,e_2,e_2)*.
% 32.98/33.22 2367[8:Res:2340.0,2257.0] || -> equalish(e_2,e_4)*.
% 32.98/33.22 2368[8:MRR:2367.0,12.0] || -> .
% 32.98/33.22 2389[8:Spt:2368.0,2232.0,2253.0] || product(e_2,e_2,e_4)*+ -> .
% 32.98/33.22 2390[8:Spt:2368.0,2232.1,2232.2,2232.3] || -> product(e_1,e_4,e_3) product(e_1,e_3,e_3)* product(e_2,e_1,e_2).
% 32.98/33.22 2395[9:Spt:2390.0] || -> product(e_1,e_4,e_3)*.
% 32.98/33.22 2401[9:Res:2395.0,22.0] || product(u,e_4,e_3)*+ -> equalish(u,e_1).
% 32.98/33.22 2402[9:Res:2395.0,62.2] group_element(e_3) group_element(e_4) || -> product(e_4,e_4,e_3) product(e_3,e_4,e_3)* equalish(e_1,e_2).
% 32.98/33.22 2407[9:SSi:2402.1,2402.0,6.0,5.0] || -> product(e_4,e_4,e_3) product(e_3,e_4,e_3)* equalish(e_1,e_2).
% 32.98/33.22 2408[9:MRR:2407.2,7.0] || -> product(e_4,e_4,e_3) product(e_3,e_4,e_3)*.
% 32.98/33.22 2514[9:Res:2408.1,2401.0] || -> product(e_4,e_4,e_3)* equalish(e_3,e_1).
% 32.98/33.22 2515[9:MRR:2514.1,13.0] || -> product(e_4,e_4,e_3)*.
% 32.98/33.22 2526[9:Res:2515.0,2401.0] || -> equalish(e_4,e_1)*.
% 32.98/33.22 2527[9:MRR:2526.0,16.0] || -> .
% 32.98/33.22 2529[9:Spt:2527.0,2390.0,2395.0] || product(e_1,e_4,e_3)*+ -> .
% 32.98/33.22 2530[9:Spt:2527.0,2390.1,2390.2] || -> product(e_1,e_3,e_3)* product(e_2,e_1,e_2).
% 32.98/33.22 2532[10:Spt:2530.0] || -> product(e_1,e_3,e_3)*.
% 32.98/33.22 2538[10:Res:2532.0,22.0] || product(u,e_3,e_3)*+ -> equalish(u,e_1).
% 32.98/33.22 2539[10:Res:2532.0,62.2] group_element(e_3) group_element(e_3) || -> product(e_4,e_3,e_3) product(e_3,e_3,e_3)* equalish(e_1,e_2).
% 32.98/33.22 2544[10:Obv:2539.0] group_element(e_3) || -> product(e_4,e_3,e_3) product(e_3,e_3,e_3)* equalish(e_1,e_2).
% 32.98/33.22 2545[10:SSi:2544.0,5.0] || -> product(e_4,e_3,e_3) product(e_3,e_3,e_3)* equalish(e_1,e_2).
% 32.98/33.22 2546[10:MRR:2545.2,7.0] || -> product(e_4,e_3,e_3) product(e_3,e_3,e_3)*.
% 32.98/33.22 2588[10:Res:2546.1,2538.0] || -> product(e_4,e_3,e_3)* equalish(e_3,e_1).
% 32.98/33.22 2589[10:MRR:2588.1,13.0] || -> product(e_4,e_3,e_3)*.
% 32.98/33.22 2601[10:Res:2589.0,2538.0] || -> equalish(e_4,e_1)*.
% 32.98/33.22 2602[10:MRR:2601.0,16.0] || -> .
% 32.98/33.22 2611[10:Spt:2602.0,2530.0,2532.0] || product(e_1,e_3,e_3)*+ -> .
% 32.98/33.22 2612[10:Spt:2602.0,2530.1] || -> product(e_2,e_1,e_2)*.
% 32.98/33.22 2659[10:Res:789.2,2611.0] group_element(e_3) || -> product(e_1,e_4,e_3)* product(e_4,e_2,e_3) product(e_3,e_2,e_3).
% 32.98/33.22 2660[10:SSi:2659.0,5.0] || -> product(e_1,e_4,e_3)* product(e_4,e_2,e_3) product(e_3,e_2,e_3).
% 32.98/33.22 2661[10:MRR:2660.0,2529.0] || -> product(e_4,e_2,e_3) product(e_3,e_2,e_3)*.
% 32.98/33.22 2722[10:Res:2661.1,775.1] group_element(e_3) || -> product(e_4,e_2,e_3) product(e_1,e_4,e_3) product(e_1,e_3,e_3)* equalish(e_3,e_1).
% 32.98/33.22 2730[10:SSi:2722.0,5.0] || -> product(e_4,e_2,e_3) product(e_1,e_4,e_3) product(e_1,e_3,e_3)* equalish(e_3,e_1).
% 32.98/33.22 2731[10:MRR:2730.1,2730.2,2730.3,2529.0,2611.0,13.0] || -> product(e_4,e_2,e_3)*.
% 32.98/33.22 2743[10:Res:2731.0,775.1] group_element(e_3) || -> product(e_1,e_4,e_3) product(e_1,e_3,e_3)* equalish(e_4,e_1).
% 32.98/33.22 2751[10:SSi:2743.0,5.0] || -> product(e_1,e_4,e_3) product(e_1,e_3,e_3)* equalish(e_4,e_1).
% 32.98/33.22 2752[10:MRR:2751.0,2751.1,2751.2,2529.0,2611.0,16.0] || -> .
% 32.98/33.22 2762[7:Spt:2752.0,791.1,791.2] || -> product(e_1,e_4,e_2) product(e_1,e_3,e_2)*.
% 32.98/33.22 2763[8:Spt:2762.0] || -> product(e_1,e_4,e_2)*.
% 32.98/33.22 2769[8:Res:2763.0,22.0] || product(u,e_4,e_2)*+ -> equalish(u,e_1).
% 32.98/33.22 2771[8:Res:2763.0,62.2] group_element(e_2) group_element(e_4) || -> product(e_4,e_4,e_2) product(e_3,e_4,e_2)* equalish(e_1,e_2).
% 32.98/33.22 2787[8:SSi:2771.1,2771.0,6.0,4.0] || -> product(e_4,e_4,e_2) product(e_3,e_4,e_2)* equalish(e_1,e_2).
% 32.98/33.22 2788[8:MRR:2787.2,7.0] || -> product(e_4,e_4,e_2) product(e_3,e_4,e_2)*.
% 32.98/33.22 2839[8:Res:2788.1,2769.0] || -> product(e_4,e_4,e_2)* equalish(e_3,e_1).
% 32.98/33.22 2840[8:MRR:2839.1,13.0] || -> product(e_4,e_4,e_2)*.
% 32.98/33.22 2858[8:Res:2840.0,2769.0] || -> equalish(e_4,e_1)*.
% 32.98/33.22 2859[8:MRR:2858.0,16.0] || -> .
% 32.98/33.22 2869[8:Spt:2859.0,2762.0,2763.0] || product(e_1,e_4,e_2)*+ -> .
% 32.98/33.22 2870[8:Spt:2859.0,2762.1] || -> product(e_1,e_3,e_2)*.
% 32.98/33.22 2880[8:Res:2870.0,22.0] || product(u,e_3,e_2)*+ -> equalish(u,e_1).
% 32.98/33.22 2882[8:Res:2870.0,62.2] group_element(e_2) group_element(e_3) || -> product(e_4,e_3,e_2) product(e_3,e_3,e_2)* equalish(e_1,e_2).
% 32.98/33.22 2897[8:SSi:2882.1,2882.0,5.0,4.0] || -> product(e_4,e_3,e_2) product(e_3,e_3,e_2)* equalish(e_1,e_2).
% 32.98/33.22 2898[8:MRR:2897.2,7.0] || -> product(e_4,e_3,e_2) product(e_3,e_3,e_2)*.
% 32.98/33.22 2974[8:Res:2898.1,2880.0] || -> product(e_4,e_3,e_2)* equalish(e_3,e_1).
% 32.98/33.22 2975[8:MRR:2974.1,13.0] || -> product(e_4,e_3,e_2)*.
% 32.98/33.22 2993[8:Res:2975.0,2880.0] || -> equalish(e_4,e_1)*.
% 32.98/33.22 2994[8:MRR:2993.0,16.0] || -> .
% 32.98/33.22 3004[5:Spt:2994.0,678.1,678.2,678.3] || -> product(e_2,e_4,e_1) product(e_2,e_3,e_1) product(e_2,e_2,e_1)*.
% 32.98/33.22 3005[6:Spt:3004.0] || -> product(e_2,e_4,e_1)*.
% 32.98/33.22 3009[6:Res:3005.0,20.0] || product(e_2,e_4,u)*+ -> equalish(u,e_1).
% 32.98/33.22 3019[6:Res:3005.0,487.2] group_element(e_4) group_element(e_2) || -> product(e_2,e_4,e_4) product(e_2,e_4,e_3)* equalish(e_1,e_2).
% 32.98/33.22 3029[6:SSi:3019.1,3019.0,4.0,6.0] || -> product(e_2,e_4,e_4) product(e_2,e_4,e_3)* equalish(e_1,e_2).
% 32.98/33.22 3030[6:MRR:3029.2,7.0] || -> product(e_2,e_4,e_4) product(e_2,e_4,e_3)*.
% 32.98/33.22 3164[6:Res:3030.1,3009.0] || -> product(e_2,e_4,e_4)* equalish(e_3,e_1).
% 32.98/33.22 3165[6:MRR:3164.1,13.0] || -> product(e_2,e_4,e_4)*.
% 32.98/33.22 3181[6:Res:3165.0,3009.0] || -> equalish(e_4,e_1)*.
% 32.98/33.22 3182[6:MRR:3181.0,16.0] || -> .
% 32.98/33.22 3190[6:Spt:3182.0,3004.0,3005.0] || product(e_2,e_4,e_1)*+ -> .
% 32.98/33.22 3191[6:Spt:3182.0,3004.1,3004.2] || -> product(e_2,e_3,e_1) product(e_2,e_2,e_1)*.
% 32.98/33.22 3205[7:Spt:3191.0] || -> product(e_2,e_3,e_1)*.
% 32.98/33.22 3209[7:Res:3205.0,20.0] || product(e_2,e_3,u)*+ -> equalish(u,e_1).
% 32.98/33.22 3219[7:Res:3205.0,487.2] group_element(e_3) group_element(e_2) || -> product(e_2,e_3,e_4) product(e_2,e_3,e_3)* equalish(e_1,e_2).
% 32.98/33.22 3229[7:SSi:3219.1,3219.0,4.0,5.0] || -> product(e_2,e_3,e_4) product(e_2,e_3,e_3)* equalish(e_1,e_2).
% 32.98/33.22 3230[7:MRR:3229.2,7.0] || -> product(e_2,e_3,e_4) product(e_2,e_3,e_3)*.
% 32.98/33.22 3299[7:Res:3230.1,3209.0] || -> product(e_2,e_3,e_4)* equalish(e_3,e_1).
% 32.98/33.22 3300[7:MRR:3299.1,13.0] || -> product(e_2,e_3,e_4)*.
% 32.98/33.22 3325[7:Res:3300.0,3209.0] || -> equalish(e_4,e_1)*.
% 32.98/33.22 3326[7:MRR:3325.0,16.0] || -> .
% 32.98/33.22 3334[7:Spt:3326.0,3191.0,3205.0] || product(e_2,e_3,e_1)*+ -> .
% 32.98/33.22 3335[7:Spt:3326.0,3191.1] || -> product(e_2,e_2,e_1)*.
% 32.98/33.22 3356[7:Res:3335.0,20.0] || product(e_2,e_2,u)*+ -> equalish(u,e_1).
% 32.98/33.22 3369[7:Res:3335.0,487.2] group_element(e_2) group_element(e_2) || -> product(e_2,e_2,e_4) product(e_2,e_2,e_3)* equalish(e_1,e_2).
% 32.98/33.22 3386[7:Obv:3369.0] group_element(e_2) || -> product(e_2,e_2,e_4) product(e_2,e_2,e_3)* equalish(e_1,e_2).
% 32.98/33.22 3387[7:SSi:3386.0,4.0] || -> product(e_2,e_2,e_4) product(e_2,e_2,e_3)* equalish(e_1,e_2).
% 32.98/33.22 3388[7:MRR:3387.2,7.0] || -> product(e_2,e_2,e_4) product(e_2,e_2,e_3)*.
% 32.98/33.22 3476[7:Res:3388.1,3356.0] || -> product(e_2,e_2,e_4)* equalish(e_3,e_1).
% 32.98/33.22 3477[7:MRR:3476.1,13.0] || -> product(e_2,e_2,e_4)*.
% 32.98/33.22 3501[7:Res:3477.0,3356.0] || -> equalish(e_4,e_1)*.
% 32.98/33.22 3502[7:MRR:3501.0,16.0] || -> .
% 32.98/33.22 3517[4:Spt:3502.0,402.5] || -> equalish(e_1,e_1)*.
% 32.98/33.22 4190[3:Fac:705.5,705.6] group_element(e_3) group_element(u) || -> product(e_3,e_4,e_2) product(e_3,e_3,e_2) product(e_2,e_4,u) product(e_2,e_3,u)*.
% 32.98/33.22 4270[3:SSi:4190.0,5.0] group_element(u) || -> product(e_3,e_4,e_2) product(e_3,e_3,e_2) product(e_2,e_4,u) product(e_2,e_3,u)*.
% 32.98/33.22 4335[5:Spt:4270.0,4270.3,4270.4] group_element(u) || -> product(e_2,e_4,u) product(e_2,e_3,u)*.
% 32.98/33.22 4338[5:Res:4335.2,24.0] group_element(u) || product(u,e_2,v)*+ -> product(e_2,e_4,u)* product(e_3,u,v)*.
% 32.98/33.22 4341[5:Res:4335.2,21.0] group_element(u) || product(e_2,v,u)*+ -> product(e_2,e_4,u)* equalish(v,e_3).
% 32.98/33.22 4400[5:Res:4335.2,4341.1] group_element(u) group_element(u) || -> product(e_2,e_4,u)* product(e_2,e_4,u)* equalish(e_3,e_3).
% 32.98/33.22 4401[5:Obv:4400.2] group_element(u) || -> product(e_2,e_4,u)* equalish(e_3,e_3).
% 32.98/33.22 4429[6:Spt:4401.0,4401.1] group_element(u) || -> product(e_2,e_4,u)*.
% 32.98/33.22 4434[6:Res:4429.1,20.0] group_element(u) || product(e_2,e_4,v)*+ -> equalish(v,u)*.
% 32.98/33.22 4510[6:Res:4429.1,4434.1] group_element(u) group_element(v) || -> equalish(u,v)*.
% 32.98/33.22 4522[6:Res:4510.2,7.0] group_element(e_1) group_element(e_2) || -> .
% 32.98/33.22 4534[6:SSi:4522.1,4522.0,4.0,3.0] || -> .
% 32.98/33.22 4535[6:Spt:4534.0,4401.2] || -> equalish(e_3,e_3)*.
% 32.98/33.22 4563[0:Res:19.5,42.2] group_element(u) group_element(v) group_element(v) group_element(w) || -> product(v,u,e_4) product(v,u,e_3) product(v,u,e_2)* product(w,v,e_4) product(w,v,e_3) product(w,v,e_2)* product(u,w,v)*.
% 32.98/33.22 4571[0:Obv:4563.1] group_element(u) group_element(v) group_element(w) || -> product(v,u,e_4) product(v,u,e_3) product(v,u,e_2)* product(w,v,e_4) product(w,v,e_3) product(w,v,e_2)* product(u,w,v)*.
% 32.98/33.22 4637[5:Res:56.4,4338.1] group_element(u) group_element(e_2) group_element(e_2) || -> product(e_4,e_2,u) product(e_3,e_2,u)* product(e_2,e_4,e_2)* product(e_3,e_2,u)*.
% 32.98/33.22 4644[5:Obv:4637.4] group_element(u) group_element(e_2) || -> product(e_4,e_2,u) product(e_2,e_4,e_2)* product(e_3,e_2,u)*.
% 32.98/33.22 4645[5:SSi:4644.1,4.0] group_element(u) || -> product(e_4,e_2,u) product(e_2,e_4,e_2)* product(e_3,e_2,u)*.
% 32.98/33.22 4650[7:Spt:4645.0,4645.1,4645.3] group_element(u) || -> product(e_4,e_2,u) product(e_3,e_2,u)*.
% 32.98/33.22 4656[7:Res:4650.2,21.0] group_element(u) || product(e_3,v,u)*+ -> product(e_4,e_2,u) equalish(v,e_2).
% 32.98/33.22 4669[7:Res:4650.2,4338.1] group_element(u) group_element(e_3) || -> product(e_4,e_2,u) product(e_2,e_4,e_3)* product(e_3,e_3,u)*.
% 32.98/33.22 4676[7:SSi:4669.1,5.0] group_element(u) || -> product(e_4,e_2,u) product(e_2,e_4,e_3)* product(e_3,e_3,u)*.
% 32.98/33.22 4833[8:Spt:4676.0,4676.1,4676.3] group_element(u) || -> product(e_4,e_2,u) product(e_3,e_3,u)*.
% 32.98/33.22 4878[8:Res:4833.2,4656.1] group_element(u) group_element(u) || -> product(e_4,e_2,u)* product(e_4,e_2,u)* equalish(e_3,e_2).
% 32.98/33.22 4884[8:Obv:4878.2] group_element(u) || -> product(e_4,e_2,u)* equalish(e_3,e_2).
% 32.98/33.22 4885[8:MRR:4884.2,14.0] group_element(u) || -> product(e_4,e_2,u)*.
% 32.98/33.22 4956[8:Res:4885.1,20.0] group_element(u) || product(e_4,e_2,v)*+ -> equalish(v,u)*.
% 32.98/33.22 5076[8:Res:4885.1,4956.1] group_element(u) group_element(v) || -> equalish(u,v)*.
% 32.98/33.22 5157[8:Res:5076.2,7.0] group_element(e_1) group_element(e_2) || -> .
% 32.98/33.22 5169[8:SSi:5157.1,5157.0,4.0,3.0] || -> .
% 32.98/33.22 5170[8:Spt:5169.0,4676.2] || -> product(e_2,e_4,e_3)*.
% 32.98/33.22 5179[8:Res:5170.0,23.0] || product(e_4,u,e_3)*+ -> product(u,e_2,e_4)*.
% 32.98/33.22 5180[8:Res:5170.0,24.0] || product(e_3,e_2,u)*+ -> product(e_4,e_3,u).
% 32.98/33.22 5181[8:Res:5170.0,25.0] || product(u,e_2,e_4)*+ -> product(e_4,u,e_3)*.
% 32.98/33.22 5184[8:Res:5170.0,22.0] || product(u,e_4,e_3)*+ -> equalish(u,e_2).
% 32.98/33.22 5442[8:Res:4650.2,5181.0] group_element(e_4) || -> product(e_4,e_2,e_4)* product(e_4,e_3,e_3).
% 32.98/33.22 5447[8:SSi:5442.0,6.0] || -> product(e_4,e_2,e_4)* product(e_4,e_3,e_3).
% 32.98/33.22 5525[9:Spt:5447.0] || -> product(e_4,e_2,e_4)*.
% 32.98/33.22 5541[9:Res:5525.0,5181.0] || -> product(e_4,e_4,e_3)*.
% 32.98/33.22 5565[9:Res:5541.0,5184.0] || -> equalish(e_4,e_2)*.
% 32.98/33.22 5566[9:MRR:5565.0,17.0] || -> .
% 32.98/33.22 5577[9:Spt:5566.0,5447.0,5525.0] || product(e_4,e_2,e_4)*+ -> .
% 32.98/33.22 5578[9:Spt:5566.0,5447.1] || -> product(e_4,e_3,e_3)*.
% 32.98/33.22 5583[9:Res:5578.0,20.0] || product(e_4,e_3,u)*+ -> equalish(u,e_3).
% 32.98/33.22 5586[9:Res:5578.0,5179.0] || -> product(e_3,e_2,e_4)*.
% 32.98/33.22 5626[9:Res:5586.0,5180.0] || -> product(e_4,e_3,e_4)*.
% 32.98/33.22 5665[9:Res:5626.0,5583.0] || -> equalish(e_4,e_3)*.
% 32.98/33.22 5666[9:MRR:5665.0,18.0] || -> .
% 32.98/33.22 5667[7:Spt:5666.0,4645.2] || -> product(e_2,e_4,e_2)*.
% 32.98/33.22 5671[7:Res:5667.0,23.0] || product(e_4,u,e_2)*+ -> product(u,e_2,e_4)*.
% 32.98/33.22 5672[7:Res:5667.0,24.0] || product(e_2,e_2,u)*+ -> product(e_4,e_2,u).
% 32.98/33.22 5673[7:Res:5667.0,25.0] || product(u,e_2,e_4)*+ -> product(e_4,u,e_2)*.
% 32.98/33.22 5676[7:Res:5667.0,22.0] || product(u,e_4,e_2)*+ -> equalish(u,e_2).
% 32.98/33.22 5682[7:Res:5667.0,57.2] group_element(e_2) group_element(e_2) || -> product(e_4,e_2,e_2) product(e_3,e_2,e_2)* product(e_4,e_2,e_2).
% 32.98/33.22 5702[7:Obv:5682.2] group_element(e_2) || -> product(e_3,e_2,e_2)* product(e_4,e_2,e_2).
% 32.98/33.22 5703[7:SSi:5702.0,4.0] || -> product(e_3,e_2,e_2)* product(e_4,e_2,e_2).
% 32.98/33.22 5706[8:Spt:5703.0] || -> product(e_3,e_2,e_2)*.
% 32.98/33.22 5708[8:Res:5706.0,23.0] || product(e_2,u,e_2)*+ -> product(u,e_3,e_2)*.
% 32.98/33.22 5711[8:Res:5706.0,20.0] || product(e_3,e_2,u)*+ -> equalish(u,e_2).
% 32.98/33.22 6176[8:Res:5667.0,5708.0] || -> product(e_4,e_3,e_2)*.
% 32.98/33.22 6193[8:Res:6176.0,5671.0] || -> product(e_3,e_2,e_4)*.
% 32.98/33.22 6212[8:Res:6193.0,5711.0] || -> equalish(e_4,e_2)*.
% 32.98/33.22 6220[8:MRR:6212.0,17.0] || -> .
% 32.98/33.22 6237[8:Spt:6220.0,5703.0,5706.0] || product(e_3,e_2,e_2)*+ -> .
% 32.98/33.22 6238[8:Spt:6220.0,5703.1] || -> product(e_4,e_2,e_2)*.
% 32.98/33.22 6251[8:Res:6238.0,5671.0] || -> product(e_2,e_2,e_4)*.
% 32.98/33.22 6298[8:Res:6251.0,5672.0] || -> product(e_4,e_2,e_4)*.
% 32.98/33.22 6329[8:Res:6298.0,5673.0] || -> product(e_4,e_4,e_2)*.
% 32.98/33.22 6353[8:Res:6329.0,5676.0] || -> equalish(e_4,e_2)*.
% 32.98/33.22 6355[8:MRR:6353.0,17.0] || -> .
% 32.98/33.22 6363[5:Spt:6355.0,4270.1,4270.2] || -> product(e_3,e_4,e_2) product(e_3,e_3,e_2)*.
% 32.98/33.22 6372[5:Res:6363.1,20.0] || product(e_3,e_3,u)*+ -> product(e_3,e_4,e_2) equalish(u,e_2).
% 32.98/33.22 6387[6:Spt:6372.0,6372.2] || product(e_3,e_3,u)*+ -> equalish(u,e_2).
% 32.98/33.22 6389[6:Res:19.5,6387.0] group_element(e_3) group_element(e_3) || -> product(e_3,e_3,e_4) product(e_3,e_3,e_3) product(e_3,e_3,e_2)* equalish(e_1,e_2).
% 32.98/33.22 6391[6:Obv:6389.0] group_element(e_3) || -> product(e_3,e_3,e_4) product(e_3,e_3,e_3) product(e_3,e_3,e_2)* equalish(e_1,e_2).
% 32.98/33.22 6392[6:SSi:6391.0,5.0] || -> product(e_3,e_3,e_4) product(e_3,e_3,e_3) product(e_3,e_3,e_2)* equalish(e_1,e_2).
% 32.98/33.22 6393[6:MRR:6392.3,7.0] || -> product(e_3,e_3,e_4) product(e_3,e_3,e_3) product(e_3,e_3,e_2)*.
% 32.98/33.22 6394[7:Spt:6393.2] || -> product(e_3,e_3,e_2)*.
% 32.98/33.22 6396[7:Res:6394.0,23.0] || product(e_3,u,e_2)*+ -> product(u,e_3,e_3)*.
% 32.98/33.22 6560[7:Res:6394.0,6396.0] || -> product(e_3,e_3,e_3)*.
% 32.98/33.22 6690[7:Res:6560.0,6387.0] || -> equalish(e_3,e_2)*.
% 32.98/33.22 6694[7:MRR:6690.0,14.0] || -> .
% 32.98/33.22 6724[7:Spt:6694.0,6393.2,6394.0] || product(e_3,e_3,e_2)* -> .
% 32.98/33.22 6725[7:Spt:6694.0,6393.0,6393.1] || -> product(e_3,e_3,e_4) product(e_3,e_3,e_3)*.
% 32.98/33.22 6737[7:Res:6725.1,6387.0] || -> product(e_3,e_3,e_4)* equalish(e_3,e_2).
% 32.98/33.22 6741[7:MRR:6737.1,14.0] || -> product(e_3,e_3,e_4)*.
% 32.98/33.22 6780[7:Res:6741.0,6387.0] || -> equalish(e_4,e_2)*.
% 32.98/33.22 6784[7:MRR:6780.0,17.0] || -> .
% 32.98/33.22 6788[6:Spt:6784.0,6372.1] || -> product(e_3,e_4,e_2)*.
% 32.98/33.22 6790[6:Res:6788.0,23.0] || product(e_4,u,e_2)*+ -> product(u,e_3,e_4)*.
% 32.98/33.22 6791[6:Res:6788.0,24.0] || product(e_2,e_3,u)*+ -> product(e_4,e_2,u).
% 32.98/33.22 6792[6:Res:6788.0,25.0] || product(u,e_3,e_4)*+ -> product(e_4,u,e_2)*.
% 32.98/33.22 6793[6:Res:6788.0,20.0] || product(e_3,e_4,u)*+ -> equalish(u,e_2).
% 32.98/33.22 6794[6:Res:6788.0,21.0] || product(e_3,u,e_2)*+ -> equalish(u,e_4).
% 32.98/33.22 6795[6:Res:6788.0,22.0] || product(u,e_4,e_2)*+ -> equalish(u,e_3).
% 32.98/33.22 6817[0:Fac:4571.5,4571.8] group_element(u) group_element(u) group_element(u) || -> product(u,u,e_4) product(u,u,e_3) product(u,u,e_4) product(u,u,e_3) product(u,u,e_2)* product(u,u,u)*.
% 32.98/33.22 6819[0:Fac:4571.8,4571.9] group_element(e_2) group_element(e_2) group_element(e_2) || -> product(e_2,e_2,e_4) product(e_2,e_2,e_3) product(e_2,e_2,e_2)* product(e_2,e_2,e_4) product(e_2,e_2,e_3) product(e_2,e_2,e_2)*.
% 32.98/33.22 6889[0:Obv:6819.5] group_element(e_2) || -> product(e_2,e_2,e_4) product(e_2,e_2,e_3) product(e_2,e_2,e_2)*.
% 32.98/33.22 6890[0:SSi:6889.0,4.0] || -> product(e_2,e_2,e_4) product(e_2,e_2,e_3) product(e_2,e_2,e_2)*.
% 32.98/33.22 6892[0:Obv:6817.4] group_element(u) || -> product(u,u,e_4) product(u,u,e_3) product(u,u,e_2)* product(u,u,u)*.
% 32.98/33.22 7034[7:Spt:6890.0] || -> product(e_2,e_2,e_4)*.
% 32.98/33.22 7036[7:Res:7034.0,23.0] || product(e_2,u,e_4)*+ -> product(u,e_2,e_2)*.
% 32.98/33.22 7039[7:Res:7034.0,20.0] || product(e_2,e_2,u)*+ -> equalish(u,e_4).
% 32.98/33.22 7154[6:Res:6892.3,6794.0] group_element(e_3) || -> product(e_3,e_3,e_4) product(e_3,e_3,e_3)* product(e_3,e_3,e_3)* equalish(e_3,e_4).
% 32.98/33.22 7179[6:Obv:7154.2] group_element(e_3) || -> product(e_3,e_3,e_4) product(e_3,e_3,e_3)* equalish(e_3,e_4).
% 32.98/33.22 7180[6:SSi:7179.0,5.0] || -> product(e_3,e_3,e_4) product(e_3,e_3,e_3)* equalish(e_3,e_4).
% 32.98/33.22 7181[6:MRR:7180.2,15.0] || -> product(e_3,e_3,e_4) product(e_3,e_3,e_3)*.
% 32.98/33.22 7269[6:Res:56.4,6792.0] group_element(e_4) group_element(e_3) || -> product(e_4,e_3,e_4) product(e_3,e_3,e_4)* product(e_4,e_2,e_2).
% 32.98/33.22 7271[6:SSi:7269.1,7269.0,5.0,6.0] || -> product(e_4,e_3,e_4) product(e_3,e_3,e_4)* product(e_4,e_2,e_2).
% 32.98/33.22 7327[7:Res:7034.0,7036.0] || -> product(e_2,e_2,e_2)*.
% 32.98/33.22 7350[7:Res:7327.0,7039.0] || -> equalish(e_2,e_4)*.
% 32.98/33.22 7351[7:MRR:7350.0,12.0] || -> .
% 32.98/33.22 7364[7:Spt:7351.0,6890.0,7034.0] || product(e_2,e_2,e_4)*+ -> .
% 32.98/33.22 7365[7:Spt:7351.0,6890.1,6890.2] || -> product(e_2,e_2,e_3) product(e_2,e_2,e_2)*.
% 32.98/33.22 7398[7:Res:56.4,7364.0] group_element(e_4) group_element(e_2) || -> product(e_4,e_2,e_4) product(e_3,e_2,e_4)*.
% 32.98/33.22 7401[7:SSi:7398.1,7398.0,4.0,6.0] || -> product(e_4,e_2,e_4) product(e_3,e_2,e_4)*.
% 32.98/33.22 7405[8:Spt:7401.0] || -> product(e_4,e_2,e_4)*.
% 32.98/33.22 7411[8:Res:7405.0,21.0] || product(e_4,u,e_4)*+ -> equalish(u,e_2).
% 32.98/33.22 7416[8:Res:7405.0,57.2] group_element(e_4) group_element(e_4) || -> product(e_4,e_4,e_4) product(e_3,e_4,e_4) product(e_2,e_2,e_4)*.
% 32.98/33.22 7430[8:Obv:7416.0] group_element(e_4) || -> product(e_4,e_4,e_4) product(e_3,e_4,e_4) product(e_2,e_2,e_4)*.
% 32.98/33.22 7431[8:SSi:7430.0,6.0] || -> product(e_4,e_4,e_4) product(e_3,e_4,e_4) product(e_2,e_2,e_4)*.
% 32.98/33.22 7432[8:MRR:7431.2,7364.0] || -> product(e_4,e_4,e_4) product(e_3,e_4,e_4)*.
% 32.98/33.22 7512[9:Spt:7432.0] || -> product(e_4,e_4,e_4)*.
% 32.98/33.22 7632[9:Res:7512.0,7411.0] || -> equalish(e_4,e_2)*.
% 32.98/33.22 7633[9:MRR:7632.0,17.0] || -> .
% 32.98/33.22 7636[9:Spt:7633.0,7432.0,7512.0] || product(e_4,e_4,e_4)* -> .
% 32.98/33.22 7637[9:Spt:7633.0,7432.1] || -> product(e_3,e_4,e_4)*.
% 32.98/33.22 7656[9:Res:7637.0,6793.0] || -> equalish(e_4,e_2)*.
% 32.98/33.22 7660[9:MRR:7656.0,17.0] || -> .
% 32.98/33.22 7710[8:Spt:7660.0,7401.0,7405.0] || product(e_4,e_2,e_4)*+ -> .
% 32.98/33.22 7711[8:Spt:7660.0,7401.1] || -> product(e_3,e_2,e_4)*.
% 32.98/33.22 7720[8:Res:7711.0,21.0] || product(e_3,u,e_4)*+ -> equalish(u,e_2).
% 32.98/33.22 7743[9:Spt:7181.0] || -> product(e_3,e_3,e_4)*.
% 32.98/33.22 7933[9:Res:7743.0,7720.0] || -> equalish(e_3,e_2)*.
% 32.98/33.22 7934[9:MRR:7933.0,14.0] || -> .
% 32.98/33.22 7935[9:Spt:7934.0,7181.0,7743.0] || product(e_3,e_3,e_4)*+ -> .
% 32.98/33.22 7936[9:Spt:7934.0,7181.1] || -> product(e_3,e_3,e_3)*.
% 32.98/33.22 7940[9:MRR:7271.1,7935.0] || -> product(e_4,e_3,e_4) product(e_4,e_2,e_2)*.
% 32.98/33.22 8100[10:Spt:7940.0] || -> product(e_4,e_3,e_4)*.
% 32.98/33.22 8113[10:Res:8100.0,6792.0] || -> product(e_4,e_4,e_2)*.
% 32.98/33.22 8132[10:Res:8113.0,6795.0] || -> equalish(e_4,e_3)*.
% 32.98/33.22 8134[10:MRR:8132.0,18.0] || -> .
% 32.98/33.22 8142[10:Spt:8134.0,7940.0,8100.0] || product(e_4,e_3,e_4)*+ -> .
% 32.98/33.22 8143[10:Spt:8134.0,7940.1] || -> product(e_4,e_2,e_2)*.
% 32.98/33.22 8153[10:Res:8143.0,6790.0] || -> product(e_2,e_3,e_4)*.
% 32.98/33.22 8240[10:Res:8153.0,6791.0] || -> product(e_4,e_2,e_4)*.
% 32.98/33.22 8241[10:MRR:8240.0,7710.0] || -> .
% 32.98/33.22 8247[3:Spt:8241.0,122.5] || -> equalish(e_1,e_1)*.
% 32.98/33.22 8343[0:Res:6890.2,25.0] || product(u,e_2,e_2)*+ -> product(e_2,e_2,e_4) product(e_2,e_2,e_3)* product(e_2,u,e_2)*.
% 32.98/33.22 8344[0:Res:6890.2,20.0] || product(e_2,e_2,u)*+ -> product(e_2,e_2,e_4) product(e_2,e_2,e_3)* equalish(u,e_2).
% 32.98/33.22 8345[0:Res:6890.2,21.0] || product(e_2,u,e_2)*+ -> product(e_2,e_2,e_4) product(e_2,e_2,e_3)* equalish(u,e_2).
% 32.98/33.22 8346[0:Res:6890.2,22.0] || product(u,e_2,e_2)*+ -> product(e_2,e_2,e_4) product(e_2,e_2,e_3)* equalish(u,e_2).
% 32.98/33.22 8362[4:Spt:8344.0,8344.3] || product(e_2,e_2,u)*+ -> equalish(u,e_2).
% 32.98/33.22 8461[5:Spt:8345.0,8345.3] || product(e_2,u,e_2)*+ -> equalish(u,e_2).
% 32.98/33.22 8464[5:Res:56.4,8461.0] group_element(e_2) group_element(u) || -> product(e_4,u,e_2) product(e_3,u,e_2)* equalish(u,e_2).
% 32.98/33.22 8482[5:SSi:8464.0,4.0] group_element(u) || -> product(e_4,u,e_2) product(e_3,u,e_2)* equalish(u,e_2).
% 32.98/33.22 8608[6:Spt:8346.0,8346.3] || product(u,e_2,e_2)*+ -> equalish(u,e_2).
% 32.98/33.22 9219[0:Res:2.5,36.2] group_element(u) group_element(e_1) group_element(u) group_element(v) || -> product(e_1,e_4,u) product(e_1,e_3,u) product(e_1,e_2,u)* product(v,e_4,u) product(v,e_3,u) product(v,e_2,u)* product(e_1,v,e_1)*.
% 32.98/33.22 9241[0:Obv:9219.0] group_element(e_1) group_element(u) group_element(v) || -> product(e_1,e_4,u) product(e_1,e_3,u) product(e_1,e_2,u)* product(v,e_4,u) product(v,e_3,u) product(v,e_2,u)* product(e_1,v,e_1)*.
% 32.98/33.22 9242[0:SSi:9241.0,3.0] group_element(u) group_element(v) || -> product(e_1,e_4,u) product(e_1,e_3,u) product(e_1,e_2,u)* product(v,e_4,u) product(v,e_3,u) product(v,e_2,u)* product(e_1,v,e_1)*.
% 32.98/33.22 10792[0:Fac:9242.4,9242.7] group_element(u) group_element(e_1) || -> product(e_1,e_4,u) product(e_1,e_3,u) product(e_1,e_4,u) product(e_1,e_3,u) product(e_1,e_2,u)* product(e_1,e_1,e_1)*.
% 32.98/33.22 10849[0:Res:9242.8,39.2] group_element(u) group_element(e_1) group_element(v) group_element(e_1) || -> product(e_1,e_4,u) product(e_1,e_3,u) product(e_1,e_2,u)* product(e_1,e_4,u) product(e_1,e_3,u) product(e_1,e_2,u)* product(e_1,e_4,v) product(e_1,e_3,v) product(e_1,e_2,v)* equalish(e_1,v).
% 32.98/33.22 10858[0:Obv:10792.3] group_element(u) group_element(e_1) || -> product(e_1,e_4,u) product(e_1,e_3,u) product(e_1,e_2,u)* product(e_1,e_1,e_1)*.
% 32.98/33.22 10859[0:SSi:10858.1,3.0] group_element(u) || -> product(e_1,e_4,u) product(e_1,e_3,u) product(e_1,e_2,u)* product(e_1,e_1,e_1)*.
% 32.98/33.22 10882[0:Obv:10849.6] group_element(u) group_element(v) group_element(e_1) || -> product(e_1,e_4,u) product(e_1,e_3,u) product(e_1,e_2,u)* product(e_1,e_4,v) product(e_1,e_3,v) product(e_1,e_2,v)* equalish(e_1,v).
% 32.98/33.22 10883[0:Con:10882.0] group_element(u) group_element(e_1) || -> product(e_1,e_4,u) product(e_1,e_3,u) product(e_1,e_2,u)* equalish(e_1,u).
% 32.98/33.22 10884[0:SSi:10883.1,3.0] group_element(u) || -> product(e_1,e_4,u) product(e_1,e_3,u) product(e_1,e_2,u)* equalish(e_1,u).
% 32.98/33.22 11756[6:Res:10884.3,8608.0] group_element(e_2) || -> product(e_1,e_4,e_2) product(e_1,e_3,e_2)* equalish(e_1,e_2) equalish(e_1,e_2).
% 32.98/33.22 11763[6:Obv:11756.3] group_element(e_2) || -> product(e_1,e_4,e_2) product(e_1,e_3,e_2)* equalish(e_1,e_2).
% 32.98/33.22 11764[6:SSi:11763.0,4.0] || -> product(e_1,e_4,e_2) product(e_1,e_3,e_2)* equalish(e_1,e_2).
% 32.98/33.22 11765[6:MRR:11764.2,7.0] || -> product(e_1,e_4,e_2) product(e_1,e_3,e_2)*.
% 32.98/33.22 11782[7:Spt:11765.0] || -> product(e_1,e_4,e_2)*.
% 32.98/33.22 11789[7:Res:11782.0,22.0] || product(u,e_4,e_2)*+ -> equalish(u,e_1).
% 32.98/33.22 11791[7:Res:11782.0,62.2] group_element(e_2) group_element(e_4) || -> product(e_4,e_4,e_2) product(e_3,e_4,e_2)* equalish(e_1,e_2).
% 32.98/33.22 11812[7:SSi:11791.1,11791.0,6.0,4.0] || -> product(e_4,e_4,e_2) product(e_3,e_4,e_2)* equalish(e_1,e_2).
% 32.98/33.22 11813[7:MRR:11812.2,7.0] || -> product(e_4,e_4,e_2) product(e_3,e_4,e_2)*.
% 32.98/33.22 11819[8:Spt:11813.0] || -> product(e_4,e_4,e_2)*.
% 32.98/33.22 11835[0:Fac:176.5,176.8] group_element(u) group_element(u) group_element(v) || -> product(v,e_4,u) product(v,e_3,u) product(v,e_4,u) product(v,e_3,u) product(v,e_2,u)* equalish(u,u)*.
% 32.98/33.22 11890[0:Obv:11835.4] group_element(u) group_element(v) || -> product(v,e_4,u) product(v,e_3,u) product(v,e_2,u)* equalish(u,u)*.
% 32.98/33.22 12198[7:Res:8482.2,11789.0] group_element(e_4) || -> product(e_4,e_4,e_2)* equalish(e_4,e_2) equalish(e_3,e_1).
% 32.98/33.22 12221[8:Res:11819.0,11789.0] || -> equalish(e_4,e_1)*.
% 32.98/33.22 12222[8:MRR:12221.0,16.0] || -> .
% 32.98/33.22 12239[8:Spt:12222.0,11813.0,11819.0] || product(e_4,e_4,e_2)* -> .
% 32.98/33.22 12240[8:Spt:12222.0,11813.1] || -> product(e_3,e_4,e_2)*.
% 32.98/33.22 12241[7:SSi:12198.0,6.0] || -> product(e_4,e_4,e_2)* equalish(e_4,e_2) equalish(e_3,e_1).
% 32.98/33.22 12242[7:MRR:12241.1,12241.2,17.0,13.0] || -> product(e_4,e_4,e_2)*.
% 32.98/33.22 12243[8:MRR:12242.0,12239.0] || -> .
% 32.98/33.22 12248[7:Spt:12243.0,11765.0,11782.0] || product(e_1,e_4,e_2)*+ -> .
% 32.98/33.22 12249[7:Spt:12243.0,11765.1] || -> product(e_1,e_3,e_2)*.
% 32.98/33.22 12256[7:Res:12249.0,22.0] || product(u,e_3,e_2)*+ -> equalish(u,e_1).
% 32.98/33.22 12258[7:Res:12249.0,62.2] group_element(e_2) group_element(e_3) || -> product(e_4,e_3,e_2) product(e_3,e_3,e_2)* equalish(e_1,e_2).
% 32.98/33.22 12280[7:SSi:12258.1,12258.0,5.0,4.0] || -> product(e_4,e_3,e_2) product(e_3,e_3,e_2)* equalish(e_1,e_2).
% 32.98/33.22 12281[7:MRR:12280.2,7.0] || -> product(e_4,e_3,e_2) product(e_3,e_3,e_2)*.
% 32.98/33.22 12313[8:Spt:12281.0] || -> product(e_4,e_3,e_2)*.
% 32.98/33.22 12629[7:Res:8482.2,12256.0] group_element(e_3) || -> product(e_4,e_3,e_2)* equalish(e_3,e_2) equalish(e_3,e_1).
% 32.98/33.22 12653[8:Res:12313.0,12256.0] || -> equalish(e_4,e_1)*.
% 32.98/33.22 12654[8:MRR:12653.0,16.0] || -> .
% 32.98/33.22 12673[8:Spt:12654.0,12281.0,12313.0] || product(e_4,e_3,e_2)* -> .
% 32.98/33.22 12674[8:Spt:12654.0,12281.1] || -> product(e_3,e_3,e_2)*.
% 32.98/33.22 12675[7:SSi:12629.0,5.0] || -> product(e_4,e_3,e_2)* equalish(e_3,e_2) equalish(e_3,e_1).
% 32.98/33.22 12676[7:MRR:12675.1,12675.2,14.0,13.0] || -> product(e_4,e_3,e_2)*.
% 32.98/33.22 12677[8:MRR:12676.0,12673.0] || -> .
% 32.98/33.22 12678[6:Spt:12677.0,8346.1,8346.2] || -> product(e_2,e_2,e_4) product(e_2,e_2,e_3)*.
% 32.98/33.22 12691[7:Spt:12678.0] || -> product(e_2,e_2,e_4)*.
% 32.98/33.22 12708[7:Res:12691.0,8362.0] || -> equalish(e_4,e_2)*.
% 32.98/33.22 12709[7:MRR:12708.0,17.0] || -> .
% 32.98/33.22 12751[7:Spt:12709.0,12678.0,12691.0] || product(e_2,e_2,e_4)* -> .
% 32.98/33.22 12752[7:Spt:12709.0,12678.1] || -> product(e_2,e_2,e_3)*.
% 32.98/33.22 12769[7:Res:12752.0,8362.0] || -> equalish(e_3,e_2)*.
% 32.98/33.22 12770[7:MRR:12769.0,14.0] || -> .
% 32.98/33.22 12803[5:Spt:12770.0,8345.1,8345.2] || -> product(e_2,e_2,e_4) product(e_2,e_2,e_3)*.
% 32.98/33.22 12810[6:Spt:12803.0] || -> product(e_2,e_2,e_4)*.
% 32.98/33.22 12827[6:Res:12810.0,8362.0] || -> equalish(e_4,e_2)*.
% 32.98/33.22 12828[6:MRR:12827.0,17.0] || -> .
% 32.98/33.22 12848[6:Spt:12828.0,12803.0,12810.0] || product(e_2,e_2,e_4)* -> .
% 32.98/33.22 12849[6:Spt:12828.0,12803.1] || -> product(e_2,e_2,e_3)*.
% 32.98/33.22 12866[6:Res:12849.0,8362.0] || -> equalish(e_3,e_2)*.
% 32.98/33.22 12867[6:MRR:12866.0,14.0] || -> .
% 32.98/33.22 12887[4:Spt:12867.0,8344.1,8344.2] || -> product(e_2,e_2,e_4) product(e_2,e_2,e_3)*.
% 32.98/33.22 12891[4:Res:12887.1,25.0] || product(u,e_2,e_2)* -> product(e_2,e_2,e_4)* product(e_2,u,e_3)*.
% 32.98/33.22 12892[4:Res:12887.1,20.0] || product(e_2,e_2,u)*+ -> product(e_2,e_2,e_4)* equalish(u,e_3).
% 32.98/33.22 12894[4:Res:12887.1,22.0] || product(u,e_2,e_3)* -> product(e_2,e_2,e_4)* equalish(u,e_2).
% 32.98/33.23 12900[4:Res:12887.1,57.2] group_element(e_3) group_element(e_2) || -> product(e_2,e_2,e_4) product(e_4,e_2,e_3) product(e_3,e_2,e_3) product(e_2,e_2,e_2)*.
% 32.98/33.23 12908[4:SSi:12900.1,12900.0,4.0,5.0] || -> product(e_2,e_2,e_4) product(e_4,e_2,e_3) product(e_3,e_2,e_3) product(e_2,e_2,e_2)*.
% 32.98/33.23 12913[5:Spt:12892.0,12892.2] || product(e_2,e_2,u)*+ -> equalish(u,e_3).
% 32.98/33.23 12936[5:Res:12887.1,12913.0] || -> product(e_2,e_2,e_4)* equalish(e_3,e_3).
% 32.98/33.23 12965[6:Spt:10859.0,10859.1,10859.2,10859.3] group_element(u) || -> product(e_1,e_4,u) product(e_1,e_3,u) product(e_1,e_2,u)*.
% 32.98/33.23 13008[7:Spt:12936.0] || -> product(e_2,e_2,e_4)*.
% 32.98/33.23 13025[7:Res:13008.0,12913.0] || -> equalish(e_4,e_3)*.
% 32.98/33.23 13026[7:MRR:13025.0,18.0] || -> .
% 32.98/33.23 13043[7:Spt:13026.0,12936.0,13008.0] || product(e_2,e_2,e_4)*+ -> .
% 32.98/33.23 13044[7:Spt:13026.0,12936.1] || -> equalish(e_3,e_3)*.
% 32.98/33.23 13047[7:MRR:12894.1,13043.0] || product(u,e_2,e_3)*+ -> equalish(u,e_2).
% 32.98/33.23 13050[7:MRR:12891.1,13043.0] || product(u,e_2,e_2)* -> product(e_2,u,e_3)*.
% 32.98/33.23 13051[7:MRR:12908.0,13043.0] || -> product(e_4,e_2,e_3) product(e_3,e_2,e_3) product(e_2,e_2,e_2)*.
% 32.98/33.23 13085[7:Res:4571.9,13043.0] group_element(e_2) group_element(e_4) group_element(e_2) || -> product(e_4,e_2,e_4) product(e_4,e_2,e_3) product(e_4,e_2,e_2) product(e_2,e_4,e_4) product(e_2,e_4,e_3) product(e_2,e_4,e_2)*.
% 32.98/33.23 13095[7:Obv:13085.0] group_element(e_4) group_element(e_2) || -> product(e_4,e_2,e_4) product(e_4,e_2,e_3) product(e_4,e_2,e_2) product(e_2,e_4,e_4) product(e_2,e_4,e_3) product(e_2,e_4,e_2)*.
% 32.98/33.23 13096[7:SSi:13095.1,13095.0,4.0,6.0] || -> product(e_4,e_2,e_4) product(e_4,e_2,e_3) product(e_4,e_2,e_2) product(e_2,e_4,e_4) product(e_2,e_4,e_3) product(e_2,e_4,e_2)*.
% 32.98/33.23 13097[7:MRR:13096.2,13050.0] || -> product(e_4,e_2,e_4) product(e_4,e_2,e_3) product(e_2,e_4,e_4) product(e_2,e_4,e_3) product(e_2,e_4,e_2)*.
% 32.98/33.23 13116[8:Spt:13097.0] || -> product(e_4,e_2,e_4)*.
% 32.98/33.23 13122[8:Res:13116.0,21.0] || product(e_4,u,e_4)*+ -> equalish(u,e_2).
% 32.98/33.23 13123[8:Res:13116.0,22.0] || product(u,e_2,e_4)*+ -> equalish(u,e_4).
% 32.98/33.23 13127[8:Res:13116.0,57.2] group_element(e_4) group_element(e_4) || -> product(e_4,e_4,e_4) product(e_3,e_4,e_4) product(e_2,e_2,e_4)*.
% 32.98/33.23 13135[8:Obv:13127.0] group_element(e_4) || -> product(e_4,e_4,e_4) product(e_3,e_4,e_4) product(e_2,e_2,e_4)*.
% 32.98/33.23 13136[8:SSi:13135.0,6.0] || -> product(e_4,e_4,e_4) product(e_3,e_4,e_4) product(e_2,e_2,e_4)*.
% 32.98/33.23 13137[8:MRR:13136.2,13043.0] || -> product(e_4,e_4,e_4) product(e_3,e_4,e_4)*.
% 32.98/33.23 13146[8:Res:13137.1,23.0] || product(e_4,u,e_4)* -> product(e_4,e_4,e_4)* product(u,e_3,e_4)*.
% 32.98/33.23 13338[8:Res:12965.3,13123.0] group_element(e_4) || -> product(e_1,e_4,e_4) product(e_1,e_3,e_4)* equalish(e_1,e_4).
% 32.98/33.23 13340[8:SSi:13338.0,6.0] || -> product(e_1,e_4,e_4) product(e_1,e_3,e_4)* equalish(e_1,e_4).
% 32.98/33.23 13341[8:MRR:13340.2,9.0] || -> product(e_1,e_4,e_4) product(e_1,e_3,e_4)*.
% 32.98/33.23 13403[9:Spt:13341.0] || -> product(e_1,e_4,e_4)*.
% 32.98/33.23 13410[9:Res:13403.0,22.0] || product(u,e_4,e_4)*+ -> equalish(u,e_1).
% 32.98/33.23 13475[9:Res:13137.1,13410.0] || -> product(e_4,e_4,e_4)* equalish(e_3,e_1).
% 32.98/33.23 13476[9:MRR:13475.1,13.0] || -> product(e_4,e_4,e_4)*.
% 32.98/33.23 13637[9:Res:13476.0,13122.0] || -> equalish(e_4,e_2)*.
% 32.98/33.23 13639[9:MRR:13637.0,17.0] || -> .
% 32.98/33.23 13667[9:Spt:13639.0,13341.0,13403.0] || product(e_1,e_4,e_4)*+ -> .
% 32.98/33.23 13668[9:Spt:13639.0,13341.1] || -> product(e_1,e_3,e_4)*.
% 32.98/33.23 13677[9:Res:13668.0,22.0] || product(u,e_3,e_4)*+ -> equalish(u,e_1).
% 32.98/33.23 13679[9:Res:13668.0,62.2] group_element(e_4) group_element(e_3) || -> product(e_4,e_3,e_4) product(e_3,e_3,e_4)* equalish(e_1,e_2).
% 32.98/33.23 13687[9:SSi:13679.1,13679.0,5.0,6.0] || -> product(e_4,e_3,e_4) product(e_3,e_3,e_4)* equalish(e_1,e_2).
% 32.98/33.23 13688[9:MRR:13687.2,7.0] || -> product(e_4,e_3,e_4) product(e_3,e_3,e_4)*.
% 32.98/33.23 13702[10:Spt:13137.0] || -> product(e_4,e_4,e_4)*.
% 32.98/33.23 13715[10:Res:13702.0,13122.0] || -> equalish(e_4,e_2)*.
% 32.98/33.23 13716[10:MRR:13715.0,17.0] || -> .
% 32.98/33.23 13743[10:Spt:13716.0,13137.0,13702.0] || product(e_4,e_4,e_4)*+ -> .
% 32.98/33.23 13744[10:Spt:13716.0,13137.1] || -> product(e_3,e_4,e_4)*.
% 32.98/33.23 13749[10:MRR:13146.1,13743.0] || product(e_4,u,e_4)* -> product(u,e_3,e_4)*.
% 32.98/33.23 13750[10:MRR:13688.0,13749.0] || -> product(e_3,e_3,e_4)*.
% 32.98/33.23 13993[10:Res:13750.0,13677.0] || -> equalish(e_3,e_1)*.
% 32.98/33.23 13994[10:MRR:13993.0,13.0] || -> .
% 32.98/33.23 13995[8:Spt:13994.0,13097.0,13116.0] || product(e_4,e_2,e_4)*+ -> .
% 32.98/33.23 13996[8:Spt:13994.0,13097.1,13097.2,13097.3,13097.4] || -> product(e_4,e_2,e_3) product(e_2,e_4,e_4) product(e_2,e_4,e_3) product(e_2,e_4,e_2)*.
% 32.98/33.23 14014[9:Spt:13996.0] || -> product(e_4,e_2,e_3)*.
% 32.98/33.23 14028[9:Res:14014.0,13047.0] || -> equalish(e_4,e_2)*.
% 32.98/33.23 14030[9:MRR:14028.0,17.0] || -> .
% 32.98/33.23 14040[9:Spt:14030.0,13996.0,14014.0] || product(e_4,e_2,e_3)*+ -> .
% 32.98/33.23 14041[9:Spt:14030.0,13996.1,13996.2,13996.3] || -> product(e_2,e_4,e_4) product(e_2,e_4,e_3) product(e_2,e_4,e_2)*.
% 32.98/33.23 14042[9:MRR:13051.0,14040.0] || -> product(e_3,e_2,e_3) product(e_2,e_2,e_2)*.
% 32.98/33.23 14136[10:Spt:14042.0] || -> product(e_3,e_2,e_3)*.
% 32.98/33.23 14150[10:Res:14136.0,13047.0] || -> equalish(e_3,e_2)*.
% 32.98/33.23 14152[10:MRR:14150.0,14.0] || -> .
% 32.98/33.23 14164[10:Spt:14152.0,14042.0,14136.0] || product(e_3,e_2,e_3)* -> .
% 32.98/33.23 14165[10:Spt:14152.0,14042.1] || -> product(e_2,e_2,e_2)*.
% 32.98/33.23 14182[10:Res:14165.0,12913.0] || -> equalish(e_2,e_3)*.
% 32.98/33.23 14183[10:MRR:14182.0,11.0] || -> .
% 32.98/33.23 14196[6:Spt:14183.0,10859.4] || -> product(e_1,e_1,e_1)*.
% 32.98/33.23 14204[6:Res:14196.0,22.0] || product(u,e_1,e_1)*+ -> equalish(u,e_1).
% 32.98/33.23 14206[6:Res:14196.0,62.2] group_element(e_1) group_element(e_1) || -> product(e_4,e_1,e_1) product(e_3,e_1,e_1)* equalish(e_1,e_2).
% 32.98/33.23 14220[6:Obv:14206.0] group_element(e_1) || -> product(e_4,e_1,e_1) product(e_3,e_1,e_1)* equalish(e_1,e_2).
% 32.98/33.23 14221[6:SSi:14220.0,3.0] || -> product(e_4,e_1,e_1) product(e_3,e_1,e_1)* equalish(e_1,e_2).
% 32.98/33.23 14222[6:MRR:14221.2,7.0] || -> product(e_4,e_1,e_1) product(e_3,e_1,e_1)*.
% 32.98/33.23 14581[6:Res:14222.1,14204.0] || -> product(e_4,e_1,e_1)* equalish(e_3,e_1).
% 32.98/33.23 14582[6:MRR:14581.1,13.0] || -> product(e_4,e_1,e_1)*.
% 32.98/33.23 14604[6:Res:14582.0,14204.0] || -> equalish(e_4,e_1)*.
% 32.98/33.23 14608[6:MRR:14604.0,16.0] || -> .
% 32.98/33.23 14644[5:Spt:14608.0,12892.1] || -> product(e_2,e_2,e_4)*.
% 32.98/33.23 14646[5:Res:14644.0,23.0] || product(e_2,u,e_4)*+ -> product(u,e_2,e_2)*.
% 32.98/33.23 14649[5:Res:14644.0,20.0] || product(e_2,e_2,u)*+ -> equalish(u,e_4).
% 32.98/33.23 14830[5:Res:14644.0,14646.0] || -> product(e_2,e_2,e_2)*.
% 32.98/33.23 14908[5:Res:14830.0,14649.0] || -> equalish(e_2,e_4)*.
% 32.98/33.23 14909[5:MRR:14908.0,12.0] || -> .
% 32.98/33.23 14922[1:Spt:14909.0,53.5] || -> equalish(e_1,e_1)*.
% 32.98/33.23 14936[2:Spt:6890.0] || -> product(e_2,e_2,e_4)*.
% 32.98/33.23 14938[2:Res:14936.0,23.0] || product(e_2,u,e_4)*+ -> product(u,e_2,e_2)*.
% 32.98/33.23 14941[2:Res:14936.0,20.0] || product(e_2,e_2,u)*+ -> equalish(u,e_4).
% 32.98/33.23 15089[2:Res:14936.0,14938.0] || -> product(e_2,e_2,e_2)*.
% 32.98/33.23 15206[2:Res:15089.0,14941.0] || -> equalish(e_2,e_4)*.
% 32.98/33.23 15207[2:MRR:15206.0,12.0] || -> .
% 32.98/33.23 15213[2:Spt:15207.0,6890.0,14936.0] || product(e_2,e_2,e_4)*+ -> .
% 32.98/33.23 15214[2:Spt:15207.0,6890.1,6890.2] || -> product(e_2,e_2,e_3) product(e_2,e_2,e_2)*.
% 32.98/33.23 15216[2:MRR:8345.1,15213.0] || product(e_2,u,e_2)* -> product(e_2,e_2,e_3)* equalish(u,e_2).
% 32.98/33.23 15218[2:MRR:8343.1,15213.0] || product(u,e_2,e_2)* -> product(e_2,e_2,e_3)* product(e_2,u,e_2)*.
% 32.98/33.23 15220[3:Spt:15214.0] || -> product(e_2,e_2,e_3)*.
% 32.98/33.23 15222[3:Res:15220.0,23.0] || product(e_2,u,e_3)*+ -> product(u,e_2,e_2)*.
% 32.98/33.23 15225[3:Res:15220.0,20.0] || product(e_2,e_2,u)*+ -> equalish(u,e_3).
% 32.98/33.23 15238[2:Res:11890.4,15213.0] group_element(e_4) group_element(e_2) || -> product(e_2,e_4,e_4) product(e_2,e_3,e_4)* equalish(e_4,e_4).
% 32.98/33.23 15239[2:Res:4571.9,15213.0] group_element(e_2) group_element(e_4) group_element(e_2) || -> product(e_4,e_2,e_4) product(e_4,e_2,e_3) product(e_4,e_2,e_2) product(e_2,e_4,e_4) product(e_2,e_4,e_3) product(e_2,e_4,e_2)*.
% 32.98/33.23 15245[2:SSi:15238.1,15238.0,4.0,6.0] || -> product(e_2,e_4,e_4) product(e_2,e_3,e_4)* equalish(e_4,e_4).
% 32.98/33.23 15250[2:Obv:15239.0] group_element(e_4) group_element(e_2) || -> product(e_4,e_2,e_4) product(e_4,e_2,e_3) product(e_4,e_2,e_2) product(e_2,e_4,e_4) product(e_2,e_4,e_3) product(e_2,e_4,e_2)*.
% 32.98/33.23 15251[2:SSi:15250.1,15250.0,4.0,6.0] || -> product(e_4,e_2,e_4) product(e_4,e_2,e_3) product(e_4,e_2,e_2) product(e_2,e_4,e_4) product(e_2,e_4,e_3) product(e_2,e_4,e_2)*.
% 32.98/33.23 15451[3:Res:15220.0,15222.0] || -> product(e_2,e_2,e_2)*.
% 32.98/33.23 15587[3:Res:15451.0,15225.0] || -> equalish(e_2,e_3)*.
% 32.98/33.23 15588[3:MRR:15587.0,11.0] || -> .
% 32.98/33.23 15595[3:Spt:15588.0,15214.0,15220.0] || product(e_2,e_2,e_3)*+ -> .
% 32.98/33.23 15596[3:Spt:15588.0,15214.1] || -> product(e_2,e_2,e_2)*.
% 32.98/33.23 15598[3:MRR:15216.1,15595.0] || product(e_2,u,e_2)*+ -> equalish(u,e_2).
% 32.98/33.23 15600[3:MRR:15218.1,15595.0] || product(u,e_2,e_2)*+ -> product(e_2,u,e_2)*.
% 32.98/33.23 15603[3:MRR:15251.2,15600.0] || -> product(e_4,e_2,e_4) product(e_4,e_2,e_3) product(e_2,e_4,e_4) product(e_2,e_4,e_3) product(e_2,e_4,e_2)*.
% 32.98/33.23 15622[3:Res:11890.4,15595.0] group_element(e_3) group_element(e_2) || -> product(e_2,e_4,e_3) product(e_2,e_3,e_3)* equalish(e_3,e_3).
% 32.98/33.23 15629[3:SSi:15622.1,15622.0,4.0,5.0] || -> product(e_2,e_4,e_3) product(e_2,e_3,e_3)* equalish(e_3,e_3).
% 32.98/33.23 16107[4:Spt:15245.0] || -> product(e_2,e_4,e_4)*.
% 32.98/33.23 16109[4:Res:16107.0,23.0] || product(e_4,u,e_4)*+ -> product(u,e_2,e_4)*.
% 32.98/33.23 16111[4:Res:16107.0,25.0] || product(u,e_2,e_4)*+ -> product(e_4,u,e_4)*.
% 32.98/33.23 16117[4:Res:16107.0,30.2] group_element(e_4) group_element(e_2) || -> product(e_4,e_2,e_4) product(e_3,e_2,e_4) product(e_2,e_2,e_4)* product(e_4,e_1,e_2).
% 32.98/33.23 16121[4:SSi:16117.1,16117.0,4.0,6.0] || -> product(e_4,e_2,e_4) product(e_3,e_2,e_4) product(e_2,e_2,e_4)* product(e_4,e_1,e_2).
% 32.98/33.23 16122[4:MRR:16121.2,15213.0] || -> product(e_4,e_2,e_4) product(e_3,e_2,e_4)* product(e_4,e_1,e_2).
% 32.98/33.23 16316[4:Res:1.5,16111.0] group_element(e_4) group_element(e_2) || -> product(e_4,e_2,e_4) product(e_3,e_2,e_4) product(e_2,e_2,e_4)* product(e_4,e_1,e_4).
% 32.98/33.23 16319[4:SSi:16316.1,16316.0,4.0,6.0] || -> product(e_4,e_2,e_4) product(e_3,e_2,e_4) product(e_2,e_2,e_4)* product(e_4,e_1,e_4).
% 32.98/33.23 16320[4:MRR:16319.0,16319.2,16109.0,15213.0] || -> product(e_3,e_2,e_4)* product(e_4,e_1,e_4).
% 32.98/33.23 16402[5:Spt:16320.0] || -> product(e_3,e_2,e_4)*.
% 32.98/33.23 16404[5:Res:16402.0,23.0] || product(e_2,u,e_4)*+ -> product(u,e_3,e_2)*.
% 32.98/33.23 16415[5:Res:16402.0,16111.0] || -> product(e_4,e_3,e_4)*.
% 32.98/33.23 16425[5:Res:16415.0,20.0] || product(e_4,e_3,u)*+ -> equalish(u,e_4).
% 32.98/33.23 16687[5:Res:16107.0,16404.0] || -> product(e_4,e_3,e_2)*.
% 32.98/33.23 16701[5:Res:16687.0,16425.0] || -> equalish(e_2,e_4)*.
% 32.98/33.23 16702[5:MRR:16701.0,12.0] || -> .
% 32.98/33.23 16705[5:Spt:16702.0,16320.0,16402.0] || product(e_3,e_2,e_4)*+ -> .
% 32.98/33.23 16706[5:Spt:16702.0,16320.1] || -> product(e_4,e_1,e_4)*.
% 32.98/33.23 16707[5:MRR:16122.1,16705.0] || -> product(e_4,e_2,e_4) product(e_4,e_1,e_2)*.
% 32.98/33.23 16713[5:Res:16706.0,20.0] || product(e_4,e_1,u)*+ -> equalish(u,e_4).
% 32.98/33.23 16804[6:Spt:16707.0] || -> product(e_4,e_2,e_4)*.
% 32.98/33.23 16818[6:Res:16804.0,16109.0] || -> product(e_2,e_2,e_4)*.
% 32.98/33.23 16820[6:MRR:16818.0,15213.0] || -> .
% 32.98/33.23 16827[6:Spt:16820.0,16707.0,16804.0] || product(e_4,e_2,e_4)*+ -> .
% 32.98/33.23 16828[6:Spt:16820.0,16707.1] || -> product(e_4,e_1,e_2)*.
% 32.98/33.23 16930[6:Res:16828.0,16713.0] || -> equalish(e_2,e_4)*.
% 32.98/33.23 16932[6:MRR:16930.0,12.0] || -> .
% 32.98/33.23 16935[4:Spt:16932.0,15245.0,16107.0] || product(e_2,e_4,e_4)*+ -> .
% 32.98/33.23 16936[4:Spt:16932.0,15245.1,15245.2] || -> product(e_2,e_3,e_4)* equalish(e_4,e_4).
% 32.98/33.23 16937[4:MRR:15603.2,16935.0] || -> product(e_4,e_2,e_4) product(e_4,e_2,e_3) product(e_2,e_4,e_3) product(e_2,e_4,e_2)*.
% 32.98/33.23 16942[5:Spt:16936.0] || -> product(e_2,e_3,e_4)*.
% 32.98/33.23 16944[5:Res:16942.0,23.0] || product(e_3,u,e_4)*+ -> product(u,e_2,e_3)*.
% 32.98/33.23 16945[5:Res:16942.0,24.0] || product(e_4,e_2,u)+ -> product(e_3,e_4,u)*.
% 32.98/33.23 16946[5:Res:16942.0,25.0] || product(u,e_2,e_3)*+ -> product(e_3,u,e_4)*.
% 32.98/33.23 16949[5:Res:16942.0,22.0] || product(u,e_3,e_4)*+ -> equalish(u,e_2).
% 32.98/33.23 16952[5:Res:16942.0,30.2] group_element(e_4) group_element(e_2) || -> product(e_4,e_2,e_4) product(e_3,e_2,e_4) product(e_2,e_2,e_4)* product(e_3,e_1,e_2).
% 32.98/33.23 16955[5:SSi:16952.1,16952.0,4.0,6.0] || -> product(e_4,e_2,e_4) product(e_3,e_2,e_4) product(e_2,e_2,e_4)* product(e_3,e_1,e_2).
% 32.98/33.23 16956[5:MRR:16955.2,15213.0] || -> product(e_4,e_2,e_4) product(e_3,e_2,e_4) product(e_3,e_1,e_2)*.
% 32.98/33.23 17069[5:Res:2.5,16944.0] group_element(e_4) group_element(e_3) || -> product(e_3,e_4,e_4) product(e_3,e_3,e_4) product(e_3,e_2,e_4) product(e_1,e_2,e_3)*.
% 32.98/33.23 17075[5:SSi:17069.1,17069.0,5.0,6.0] || -> product(e_3,e_4,e_4) product(e_3,e_3,e_4) product(e_3,e_2,e_4) product(e_1,e_2,e_3)*.
% 32.98/33.23 17222[6:Spt:16956.0] || -> product(e_4,e_2,e_4)*.
% 32.98/33.23 17227[6:Res:17222.0,20.0] || product(e_4,e_2,u)*+ -> equalish(u,e_4).
% 32.98/33.23 17235[6:Res:17222.0,16945.0] || -> product(e_3,e_4,e_4)*.
% 32.98/33.23 17256[6:Res:17235.0,16944.0] || -> product(e_4,e_2,e_3)*.
% 32.98/33.23 17407[6:Res:17256.0,17227.0] || -> equalish(e_3,e_4)*.
% 32.98/33.23 17408[6:MRR:17407.0,15.0] || -> .
% 32.98/33.23 17435[6:Spt:17408.0,16956.0,17222.0] || product(e_4,e_2,e_4)*+ -> .
% 32.98/33.23 17436[6:Spt:17408.0,16956.1,16956.2] || -> product(e_3,e_2,e_4) product(e_3,e_1,e_2)*.
% 32.98/33.23 17445[7:Spt:17436.0] || -> product(e_3,e_2,e_4)*.
% 32.98/33.23 17458[7:Res:17445.0,16944.0] || -> product(e_2,e_2,e_3)*.
% 32.98/33.23 17459[7:MRR:17458.0,15595.0] || -> .
% 32.98/33.23 17469[7:Spt:17459.0,17436.0,17445.0] || product(e_3,e_2,e_4)*+ -> .
% 32.98/33.23 17470[7:Spt:17459.0,17436.1] || -> product(e_3,e_1,e_2)*.
% 32.98/33.23 17471[7:MRR:17075.2,17469.0] || -> product(e_3,e_4,e_4) product(e_3,e_3,e_4) product(e_1,e_2,e_3)*.
% 32.98/33.23 17476[7:Res:17470.0,20.0] || product(e_3,e_1,u)*+ -> equalish(u,e_2).
% 32.98/33.23 17477[7:Res:17470.0,21.0] || product(e_3,u,e_2)*+ -> equalish(u,e_1).
% 32.98/33.23 17659[7:Res:6892.3,17477.0] group_element(e_3) || -> product(e_3,e_3,e_4) product(e_3,e_3,e_3)* product(e_3,e_3,e_3)* equalish(e_3,e_1).
% 32.98/33.23 17669[7:Obv:17659.2] group_element(e_3) || -> product(e_3,e_3,e_4) product(e_3,e_3,e_3)* equalish(e_3,e_1).
% 32.98/33.23 17670[7:SSi:17669.0,5.0] || -> product(e_3,e_3,e_4) product(e_3,e_3,e_3)* equalish(e_3,e_1).
% 32.98/33.23 17671[7:MRR:17670.2,13.0] || -> product(e_3,e_3,e_4) product(e_3,e_3,e_3)*.
% 32.98/33.23 17688[8:Spt:17671.0] || -> product(e_3,e_3,e_4)*.
% 32.98/33.23 17701[8:Res:17688.0,16949.0] || -> equalish(e_3,e_2)*.
% 32.98/33.23 17703[8:MRR:17701.0,14.0] || -> .
% 32.98/33.23 17730[8:Spt:17703.0,17671.0,17688.0] || product(e_3,e_3,e_4)*+ -> .
% 32.98/33.23 17731[8:Spt:17703.0,17671.1] || -> product(e_3,e_3,e_3)*.
% 32.98/33.23 17732[8:MRR:17471.1,17730.0] || -> product(e_3,e_4,e_4) product(e_1,e_2,e_3)*.
% 32.98/33.23 17742[8:Res:17731.0,21.0] || product(e_3,u,e_3)*+ -> equalish(u,e_3).
% 32.98/33.23 17761[9:Spt:17732.0] || -> product(e_3,e_4,e_4)*.
% 32.98/33.23 17774[9:Res:17761.0,16944.0] || -> product(e_4,e_2,e_3)*.
% 32.98/33.23 17898[9:Res:17774.0,16945.0] || -> product(e_3,e_4,e_3)*.
% 32.98/33.23 18087[9:Res:17898.0,17742.0] || -> equalish(e_4,e_3)*.
% 32.98/33.23 18088[9:MRR:18087.0,18.0] || -> .
% 32.98/33.23 18097[9:Spt:18088.0,17732.0,17761.0] || product(e_3,e_4,e_4)* -> .
% 32.98/33.23 18098[9:Spt:18088.0,17732.1] || -> product(e_1,e_2,e_3)*.
% 32.98/33.23 18118[9:Res:18098.0,16946.0] || -> product(e_3,e_1,e_4)*.
% 32.98/33.23 18155[9:Res:18118.0,17476.0] || -> equalish(e_4,e_2)*.
% 32.98/33.23 18157[9:MRR:18155.0,17.0] || -> .
% 32.98/33.23 18218[5:Spt:18157.0,16936.0,16942.0] || product(e_2,e_3,e_4)*+ -> .
% 32.98/33.23 18219[5:Spt:18157.0,16936.1] || -> equalish(e_4,e_4)*.
% 32.98/33.23 18237[6:Spt:15629.0] || -> product(e_2,e_4,e_3)*.
% 32.98/33.23 18239[6:Res:18237.0,23.0] || product(e_4,u,e_3)*+ -> product(u,e_2,e_4)*.
% 32.98/33.23 18240[6:Res:18237.0,24.0] || product(e_3,e_2,u)*+ -> product(e_4,e_3,u).
% 32.98/33.23 18241[6:Res:18237.0,25.0] || product(u,e_2,e_4)*+ -> product(e_4,u,e_3)*.
% 32.98/33.23 18244[6:Res:18237.0,22.0] || product(u,e_4,e_3)*+ -> equalish(u,e_2).
% 32.98/33.23 18247[6:Res:18237.0,30.2] group_element(e_3) group_element(e_2) || -> product(e_4,e_2,e_3) product(e_3,e_2,e_3) product(e_2,e_2,e_3)* product(e_4,e_1,e_2).
% 32.98/33.23 18251[6:SSi:18247.1,18247.0,4.0,5.0] || -> product(e_4,e_2,e_3) product(e_3,e_2,e_3) product(e_2,e_2,e_3)* product(e_4,e_1,e_2).
% 32.98/33.23 18252[6:MRR:18251.2,15595.0] || -> product(e_4,e_2,e_3) product(e_3,e_2,e_3)* product(e_4,e_1,e_2).
% 32.98/33.23 18455[6:Res:2.5,18239.0] group_element(e_3) group_element(e_4) || -> product(e_4,e_4,e_3) product(e_4,e_3,e_3) product(e_4,e_2,e_3) product(e_1,e_2,e_4)*.
% 32.98/33.23 18461[6:SSi:18455.1,18455.0,6.0,5.0] || -> product(e_4,e_4,e_3) product(e_4,e_3,e_3) product(e_4,e_2,e_3) product(e_1,e_2,e_4)*.
% 32.98/33.23 18541[7:Spt:18252.0] || -> product(e_4,e_2,e_3)*.
% 32.98/33.23 18554[7:Res:18541.0,18239.0] || -> product(e_2,e_2,e_4)*.
% 32.98/33.23 18555[7:MRR:18554.0,15213.0] || -> .
% 32.98/33.23 18565[7:Spt:18555.0,18252.0,18541.0] || product(e_4,e_2,e_3)*+ -> .
% 32.98/33.23 18566[7:Spt:18555.0,18252.1,18252.2] || -> product(e_3,e_2,e_3)* product(e_4,e_1,e_2).
% 32.98/33.23 18567[7:MRR:18461.2,18565.0] || -> product(e_4,e_4,e_3) product(e_4,e_3,e_3) product(e_1,e_2,e_4)*.
% 32.98/33.23 18570[8:Spt:18566.0] || -> product(e_3,e_2,e_3)*.
% 32.98/33.23 18575[8:Res:18570.0,20.0] || product(e_3,e_2,u)*+ -> equalish(u,e_3).
% 32.98/33.23 18583[8:Res:18570.0,18240.0] || -> product(e_4,e_3,e_3)*.
% 32.98/33.23 18610[8:Res:18583.0,18239.0] || -> product(e_3,e_2,e_4)*.
% 32.98/33.23 18787[8:Res:18610.0,18575.0] || -> equalish(e_4,e_3)*.
% 32.98/33.23 18788[8:MRR:18787.0,18.0] || -> .
% 32.98/33.23 18815[8:Spt:18788.0,18566.0,18570.0] || product(e_3,e_2,e_3)*+ -> .
% 32.98/33.23 18816[8:Spt:18788.0,18566.1] || -> product(e_4,e_1,e_2)*.
% 32.98/33.23 18829[8:Res:18816.0,20.0] || product(e_4,e_1,u)*+ -> equalish(u,e_2).
% 32.98/33.23 18830[8:Res:18816.0,21.0] || product(e_4,u,e_2)*+ -> equalish(u,e_1).
% 32.98/33.23 18927[8:Res:6892.3,18830.0] group_element(e_4) || -> product(e_4,e_4,e_4) product(e_4,e_4,e_3)* product(e_4,e_4,e_4) equalish(e_4,e_1).
% 32.98/33.23 18937[8:Obv:18927.1] group_element(e_4) || -> product(e_4,e_4,e_3)* product(e_4,e_4,e_4) equalish(e_4,e_1).
% 32.98/33.23 18938[8:SSi:18937.0,6.0] || -> product(e_4,e_4,e_3)* product(e_4,e_4,e_4) equalish(e_4,e_1).
% 32.98/33.23 18939[8:MRR:18938.2,16.0] || -> product(e_4,e_4,e_3)* product(e_4,e_4,e_4).
% 32.98/33.23 19070[9:Spt:18939.0] || -> product(e_4,e_4,e_3)*.
% 32.98/33.23 19083[9:Res:19070.0,18244.0] || -> equalish(e_4,e_2)*.
% 32.98/33.23 19085[9:MRR:19083.0,17.0] || -> .
% 32.98/33.23 19119[9:Spt:19085.0,18939.0,19070.0] || product(e_4,e_4,e_3)*+ -> .
% 32.98/33.23 19120[9:Spt:19085.0,18939.1] || -> product(e_4,e_4,e_4)*.
% 32.98/33.23 19121[9:MRR:18567.0,19119.0] || -> product(e_4,e_3,e_3) product(e_1,e_2,e_4)*.
% 32.98/33.23 19131[9:Res:19120.0,21.0] || product(e_4,u,e_4)*+ -> equalish(u,e_4).
% 32.98/33.23 19146[10:Spt:19121.0] || -> product(e_4,e_3,e_3)*.
% 32.98/33.23 19159[10:Res:19146.0,18239.0] || -> product(e_3,e_2,e_4)*.
% 32.98/33.23 19198[10:Res:19159.0,18240.0] || -> product(e_4,e_3,e_4)*.
% 32.98/33.23 19427[10:Res:19198.0,19131.0] || -> equalish(e_3,e_4)*.
% 32.98/33.23 19428[10:MRR:19427.0,15.0] || -> .
% 32.98/33.23 19437[10:Spt:19428.0,19121.0,19146.0] || product(e_4,e_3,e_3)*+ -> .
% 32.98/33.23 19438[10:Spt:19428.0,19121.1] || -> product(e_1,e_2,e_4)*.
% 32.98/33.23 19457[10:Res:19438.0,18241.0] || -> product(e_4,e_1,e_3)*.
% 32.98/33.23 19494[10:Res:19457.0,18829.0] || -> equalish(e_3,e_2)*.
% 32.98/33.23 19496[10:MRR:19494.0,14.0] || -> .
% 32.98/33.23 19559[6:Spt:19496.0,15629.0,18237.0] || product(e_2,e_4,e_3)*+ -> .
% 32.98/33.23 19560[6:Spt:19496.0,15629.1,15629.2] || -> product(e_2,e_3,e_3)* equalish(e_3,e_3).
% 32.98/33.23 19561[6:MRR:16937.2,19559.0] || -> product(e_4,e_2,e_4) product(e_4,e_2,e_3) product(e_2,e_4,e_2)*.
% 32.98/33.23 19567[7:Spt:19560.0] || -> product(e_2,e_3,e_3)*.
% 32.98/33.23 19569[7:Res:19567.0,23.0] || product(e_3,u,e_3)*+ -> product(u,e_2,e_3)*.
% 32.98/33.23 19571[7:Res:19567.0,25.0] || product(u,e_2,e_3)*+ -> product(e_3,u,e_3)*.
% 32.98/33.23 19577[7:Res:19567.0,30.2] group_element(e_3) group_element(e_2) || -> product(e_4,e_2,e_3) product(e_3,e_2,e_3) product(e_2,e_2,e_3)* product(e_3,e_1,e_2).
% 32.98/33.23 19582[7:SSi:19577.1,19577.0,4.0,5.0] || -> product(e_4,e_2,e_3) product(e_3,e_2,e_3) product(e_2,e_2,e_3)* product(e_3,e_1,e_2).
% 32.98/33.23 19583[7:MRR:19582.2,15595.0] || -> product(e_4,e_2,e_3) product(e_3,e_2,e_3) product(e_3,e_1,e_2)*.
% 32.98/33.23 19970[7:Res:1.5,19571.0] group_element(e_3) group_element(e_2) || -> product(e_4,e_2,e_3) product(e_3,e_2,e_3) product(e_2,e_2,e_3)* product(e_3,e_1,e_3).
% 32.98/33.23 19979[7:SSi:19970.1,19970.0,4.0,5.0] || -> product(e_4,e_2,e_3) product(e_3,e_2,e_3) product(e_2,e_2,e_3)* product(e_3,e_1,e_3).
% 32.98/33.23 19980[7:MRR:19979.1,19979.2,19569.0,15595.0] || -> product(e_4,e_2,e_3) product(e_3,e_1,e_3)*.
% 32.98/33.23 19999[8:Spt:19980.0] || -> product(e_4,e_2,e_3)*.
% 32.98/33.23 20000[8:Res:19999.0,37.2] group_element(e_4) group_element(e_2) || -> product(e_2,e_4,e_4) product(e_2,e_3,e_4) product(e_2,e_2,e_4) product(e_1,e_4,e_3)*.
% 37.33/37.52 20012[8:Res:19999.0,19571.0] || -> product(e_3,e_4,e_3)*.
% 37.33/37.52 20016[8:SSi:20000.1,20000.0,4.0,6.0] || -> product(e_2,e_4,e_4) product(e_2,e_3,e_4) product(e_2,e_2,e_4) product(e_1,e_4,e_3)*.
% 37.33/37.52 20017[8:MRR:20016.0,20016.1,20016.2,16935.0,18218.0,15213.0] || -> product(e_1,e_4,e_3)*.
% 37.33/37.52 20024[8:Res:20012.0,22.0] || product(u,e_4,e_3)*+ -> equalish(u,e_3).
% 37.33/37.52 20396[8:Res:20017.0,20024.0] || -> equalish(e_1,e_3)*.
% 37.33/37.52 20398[8:MRR:20396.0,8.0] || -> .
% 37.33/37.52 20405[8:Spt:20398.0,19980.0,19999.0] || product(e_4,e_2,e_3)*+ -> .
% 37.33/37.52 20406[8:Spt:20398.0,19980.1] || -> product(e_3,e_1,e_3)*.
% 37.33/37.52 20408[8:MRR:19583.0,20405.0] || -> product(e_3,e_2,e_3) product(e_3,e_1,e_2)*.
% 37.33/37.52 20416[8:Res:20406.0,20.0] || product(e_3,e_1,u)*+ -> equalish(u,e_3).
% 37.33/37.52 20669[9:Spt:20408.0] || -> product(e_3,e_2,e_3)*.
% 37.33/37.52 20684[9:Res:20669.0,19569.0] || -> product(e_2,e_2,e_3)*.
% 37.33/37.52 20685[9:MRR:20684.0,15595.0] || -> .
% 37.33/37.52 20692[9:Spt:20685.0,20408.0,20669.0] || product(e_3,e_2,e_3)*+ -> .
% 37.33/37.52 20693[9:Spt:20685.0,20408.1] || -> product(e_3,e_1,e_2)*.
% 37.33/37.52 20956[9:Res:20693.0,20416.0] || -> equalish(e_2,e_3)*.
% 37.33/37.52 20957[9:MRR:20956.0,11.0] || -> .
% 37.33/37.52 20960[7:Spt:20957.0,19560.0,19567.0] || product(e_2,e_3,e_3)*+ -> .
% 37.33/37.52 20961[7:Spt:20957.0,19560.1] || -> equalish(e_3,e_3)*.
% 37.33/37.52 20970[8:Spt:19561.0] || -> product(e_4,e_2,e_4)*.
% 37.33/37.52 20979[8:Res:20970.0,44.2] group_element(e_4) group_element(e_2) || -> product(e_2,e_4,e_4) product(e_2,e_4,e_3) product(e_2,e_4,e_2)* product(e_4,e_4,e_1).
% 37.33/37.52 20990[8:SSi:20979.1,20979.0,4.0,6.0] || -> product(e_2,e_4,e_4) product(e_2,e_4,e_3) product(e_2,e_4,e_2)* product(e_4,e_4,e_1).
% 37.33/37.52 20991[8:MRR:20990.0,20990.1,16935.0,19559.0] || -> product(e_2,e_4,e_2)* product(e_4,e_4,e_1).
% 37.33/37.52 21034[8:Res:20991.0,15598.0] || -> product(e_4,e_4,e_1)* equalish(e_4,e_2).
% 37.33/37.52 21035[8:MRR:21034.1,17.0] || -> product(e_4,e_4,e_1)*.
% 37.33/37.52 21042[8:Res:21035.0,20.0] || product(e_4,e_4,u)*+ -> equalish(u,e_1).
% 37.33/37.52 21457[8:Res:6892.3,21042.0] group_element(e_4) || -> product(e_4,e_4,e_4) product(e_4,e_4,e_3)* product(e_4,e_4,e_4) equalish(e_2,e_1).
% 37.33/37.52 21463[8:Obv:21457.1] group_element(e_4) || -> product(e_4,e_4,e_3)* product(e_4,e_4,e_4) equalish(e_2,e_1).
% 37.33/37.52 21464[8:SSi:21463.0,6.0] || -> product(e_4,e_4,e_3)* product(e_4,e_4,e_4) equalish(e_2,e_1).
% 37.33/37.52 21465[8:MRR:21464.2,10.0] || -> product(e_4,e_4,e_3)* product(e_4,e_4,e_4).
% 37.33/37.52 21488[8:Res:21465.0,21042.0] || -> product(e_4,e_4,e_4)* equalish(e_3,e_1).
% 37.33/37.52 21489[8:MRR:21488.1,13.0] || -> product(e_4,e_4,e_4)*.
% 37.33/37.52 21614[8:Res:21489.0,21042.0] || -> equalish(e_4,e_1)*.
% 37.33/37.52 21617[8:MRR:21614.0,16.0] || -> .
% 37.33/37.52 21643[8:Spt:21617.0,19561.0,20970.0] || product(e_4,e_2,e_4)*+ -> .
% 37.33/37.52 21644[8:Spt:21617.0,19561.1,19561.2] || -> product(e_4,e_2,e_3) product(e_2,e_4,e_2)*.
% 37.33/37.52 21647[9:Spt:21644.0] || -> product(e_4,e_2,e_3)*.
% 37.33/37.52 21648[9:Res:21647.0,37.2] group_element(e_4) group_element(e_2) || -> product(e_2,e_4,e_4) product(e_2,e_3,e_4) product(e_2,e_2,e_4) product(e_1,e_4,e_3)*.
% 37.33/37.52 21649[9:Res:21647.0,23.0] || product(e_2,u,e_3)*+ -> product(u,e_4,e_2)*.
% 37.33/37.52 21667[9:SSi:21648.1,21648.0,4.0,6.0] || -> product(e_2,e_4,e_4) product(e_2,e_3,e_4) product(e_2,e_2,e_4) product(e_1,e_4,e_3)*.
% 37.33/37.52 21668[9:MRR:21667.0,21667.1,21667.2,16935.0,18218.0,15213.0] || -> product(e_1,e_4,e_3)*.
% 37.33/37.52 21673[9:Res:21668.0,20.0] || product(e_1,e_4,u)*+ -> equalish(u,e_3).
% 37.33/37.52 22394[9:Res:2.5,21649.0] group_element(e_3) group_element(e_2) || -> product(e_2,e_4,e_3) product(e_2,e_3,e_3) product(e_2,e_2,e_3) product(e_1,e_4,e_2)*.
% 37.33/37.52 22410[9:SSi:22394.1,22394.0,4.0,5.0] || -> product(e_2,e_4,e_3) product(e_2,e_3,e_3) product(e_2,e_2,e_3) product(e_1,e_4,e_2)*.
% 37.33/37.52 22411[9:MRR:22410.0,22410.1,22410.2,19559.0,20960.0,15595.0] || -> product(e_1,e_4,e_2)*.
% 37.33/37.52 22432[9:Res:22411.0,21673.0] || -> equalish(e_2,e_3)*.
% 37.33/37.52 22433[9:MRR:22432.0,11.0] || -> .
% 37.33/37.52 22463[9:Spt:22433.0,21644.0,21647.0] || product(e_4,e_2,e_3)* -> .
% 37.33/37.52 22464[9:Spt:22433.0,21644.1] || -> product(e_2,e_4,e_2)*.
% 37.33/37.52 22484[9:Res:22464.0,15598.0] || -> equalish(e_4,e_2)*.
% 37.33/37.52 22485[9:MRR:22484.0,17.0] || -> .
% 37.33/37.52 % SZS output end Refutation
% 37.33/37.52 Formulae used in the proof : row_surjectivity column_surjectivity element_1 element_2 element_3 element_4 e_1_is_not_e_2 e_1_is_not_e_3 e_1_is_not_e_4 e_2_is_not_e_1 e_2_is_not_e_3 e_2_is_not_e_4 e_3_is_not_e_1 e_3_is_not_e_2 e_3_is_not_e_4 e_4_is_not_e_1 e_4_is_not_e_2 e_4_is_not_e_3 product_total_function1 product_total_function2 product_right_cancellation product_left_cancellation qg3_1 qg3_2 qg3
% 37.33/37.52
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