TSTP Solution File: GRP129-3.004 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GRP129-3.004 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n013.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 11:45:44 EDT 2022
% Result : Unsatisfiable 6.56s 6.73s
% Output : Refutation 7.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP129-3.004 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 14 07:59:29 EDT 2022
% 0.13/0.34 % CPUTime :
% 6.56/6.73
% 6.56/6.73 SPASS V 3.9
% 6.56/6.73 SPASS beiseite: Proof found.
% 6.56/6.73 % SZS status Theorem
% 6.56/6.73 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.56/6.73 SPASS derived 8275 clauses, backtracked 4614 clauses, performed 192 splits and kept 8192 clauses.
% 6.56/6.73 SPASS allocated 86481 KBytes.
% 6.56/6.73 SPASS spent 0:00:06.38 on the problem.
% 6.56/6.73 0:00:00.04 for the input.
% 6.56/6.73 0:00:00.00 for the FLOTTER CNF translation.
% 6.56/6.73 0:00:00.19 for inferences.
% 6.56/6.73 0:00:00.08 for the backtracking.
% 6.56/6.73 0:00:06.01 for the reduction.
% 6.56/6.73
% 6.56/6.73
% 6.56/6.73 Here is a proof with depth 20, length 1164 :
% 6.56/6.73 % SZS output start Refutation
% 6.56/6.73 1[0:Inp] || -> next(e_0,e_1)*.
% 6.56/6.73 2[0:Inp] || -> next(e_1,e_2)*.
% 6.56/6.73 3[0:Inp] || -> next(e_2,e_3)*.
% 6.56/6.73 4[0:Inp] || -> next(e_3,e_4)*.
% 6.56/6.73 5[0:Inp] || -> greater(e_1,e_0)*.
% 6.56/6.73 6[0:Inp] || -> greater(e_2,e_0)*.
% 6.56/6.73 7[0:Inp] || -> greater(e_3,e_0)*.
% 6.56/6.73 9[0:Inp] || -> greater(e_2,e_1)*.
% 6.56/6.73 10[0:Inp] || -> greater(e_3,e_1)*.
% 6.56/6.73 11[0:Inp] || -> greater(e_4,e_1)*.
% 6.56/6.73 12[0:Inp] || -> greater(e_3,e_2)*.
% 6.56/6.73 13[0:Inp] || -> greater(e_4,e_2)*.
% 6.56/6.73 14[0:Inp] || -> greater(e_4,e_3)*.
% 6.56/6.73 16[0:Inp] group_element(u) || -> cycle(u,e_3) cycle(u,e_2) cycle(u,e_1) cycle(u,e_0)*.
% 6.56/6.73 17[0:Inp] || -> cycle(e_4,e_0)*.
% 6.56/6.73 18[0:Inp] || next(u,v)*+ next(w,x)* cycle(x,u)* cycle(w,y)* greater(y,e_0) -> equalish(y,v)*.
% 6.56/6.73 19[0:Inp] || greater(u,v)*+ greater(w,x)* next(w,y)* cycle(y,v)* cycle(x,u)* cycle(w,e_0) -> .
% 6.56/6.73 20[0:Inp] || greater(u,v) cycle(v,e_0) product(v,e_1,u)*+ -> .
% 6.56/6.73 21[0:Inp] || next(u,v)* cycle(u,w)* greater(w,e_0)* product(u,e_1,x)*+ -> equalish(x,v)*.
% 6.56/6.73 22[0:Inp] || -> group_element(e_1)*.
% 6.56/6.73 23[0:Inp] || -> group_element(e_2)*.
% 6.56/6.73 24[0:Inp] || -> group_element(e_3)*.
% 6.56/6.73 25[0:Inp] || -> group_element(e_4)*.
% 6.56/6.73 26[0:Inp] || equalish(e_1,e_2)*+ -> .
% 6.56/6.73 27[0:Inp] || equalish(e_1,e_3)*+ -> .
% 6.56/6.73 28[0:Inp] || equalish(e_1,e_4)*+ -> .
% 6.56/6.73 29[0:Inp] || equalish(e_2,e_1)*+ -> .
% 6.56/6.73 30[0:Inp] || equalish(e_2,e_3)*+ -> .
% 6.56/6.73 31[0:Inp] || equalish(e_2,e_4)*+ -> .
% 6.56/6.73 32[0:Inp] || equalish(e_3,e_1)*+ -> .
% 6.56/6.73 33[0:Inp] || equalish(e_3,e_2)*+ -> .
% 6.56/6.73 34[0:Inp] || equalish(e_3,e_4)*+ -> .
% 6.56/6.73 35[0:Inp] || equalish(e_4,e_1)*+ -> .
% 6.56/6.73 36[0:Inp] || equalish(e_4,e_2)*+ -> .
% 6.56/6.73 37[0:Inp] || equalish(e_4,e_3)*+ -> .
% 6.56/6.73 38[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)*.
% 6.56/6.73 39[0:Inp] || product(u,v,w)*+ product(u,v,x)* -> equalish(x,w)*.
% 6.56/6.73 40[0:Inp] || product(u,v,w)*+ product(u,x,w)* -> equalish(x,v)*.
% 6.56/6.73 41[0:Inp] || product(u,v,w)*+ product(x,v,w)* -> equalish(x,u)*.
% 6.56/6.73 42[0:Inp] || product(u,v,w)*+ product(x,u,v)* -> product(v,x,w)*.
% 6.56/6.73 55[0:Res:38.5,42.0] 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)*.
% 6.56/6.73 56[0:Res:38.5,39.0] 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).
% 6.56/6.73 57[0:Res:38.5,40.0] group_element(u) group_element(v) || product(v,w,e_1)*+ -> product(v,u,e_4) product(v,u,e_3) product(v,u,e_2)* equalish(w,u)*.
% 6.56/6.73 58[0:Res:38.5,41.0] group_element(u) group_element(v) || product(w,u,e_1)*+ -> product(v,u,e_4) product(v,u,e_3) product(v,u,e_2)* equalish(w,v)*.
% 6.56/6.73 59[0:Res:38.5,21.3] group_element(e_1) group_element(u) || next(u,v)* cycle(u,w)* greater(w,e_0)* -> product(u,e_1,e_4) product(u,e_1,e_3) product(u,e_1,e_2)* equalish(e_1,v)*.
% 6.56/6.73 61[0:SSi:59.0,22.0] group_element(u) || next(u,v)*+ cycle(u,w)* greater(w,e_0)* -> product(u,e_1,e_4) product(u,e_1,e_3) product(u,e_1,e_2)* equalish(e_1,v)*.
% 6.56/6.73 64[0:Res:3.0,18.0] || next(u,v)*+ cycle(v,e_2) cycle(u,w)* greater(w,e_0) -> equalish(w,e_3)*.
% 6.56/6.73 65[0:Res:2.0,18.0] || next(u,v)*+ cycle(v,e_1) cycle(u,w)* greater(w,e_0) -> equalish(w,e_2)*.
% 6.56/6.73 66[0:Res:1.0,18.0] || next(u,v)*+ cycle(v,e_0) cycle(u,w)* greater(w,e_0) -> equalish(w,e_1)*.
% 6.56/6.73 77[0:Res:7.0,19.0] || greater(u,v)*+ next(u,w)* cycle(w,e_0) cycle(v,e_3) cycle(u,e_0) -> .
% 6.56/6.73 78[0:Res:9.0,19.0] || greater(u,v)*+ next(u,w)* cycle(w,e_1) cycle(v,e_2) cycle(u,e_0) -> .
% 6.56/6.73 79[0:Res:6.0,19.0] || greater(u,v)*+ next(u,w)* cycle(w,e_0) cycle(v,e_2) cycle(u,e_0) -> .
% 6.56/6.73 80[0:Res:5.0,19.0] || greater(u,v)*+ next(u,w)* cycle(w,e_0) cycle(v,e_1) cycle(u,e_0) -> .
% 6.56/6.73 83[0:Res:2.0,64.0] || cycle(e_2,e_2)+ cycle(e_1,u) greater(u,e_0) -> equalish(u,e_3)*.
% 6.56/6.73 86[0:Res:3.0,65.0] || cycle(e_3,e_1)+ cycle(e_2,u) greater(u,e_0) -> equalish(u,e_2)*.
% 6.56/6.73 89[0:Res:4.0,66.0] || cycle(e_4,e_0) cycle(e_3,u) greater(u,e_0) -> equalish(u,e_1)*.
% 6.56/6.73 90[0:Res:3.0,66.0] || cycle(e_3,e_0)+ cycle(e_2,u) greater(u,e_0) -> equalish(u,e_1)*.
% 6.56/6.73 91[0:Res:2.0,66.0] || cycle(e_2,e_0)+ cycle(e_1,u) greater(u,e_0) -> equalish(u,e_1)*.
% 6.56/6.73 93[0:MRR:89.0,17.0] || cycle(e_3,u)+ greater(u,e_0) -> equalish(u,e_1)*.
% 6.56/6.73 94[0:Res:16.4,93.0] group_element(e_3) || greater(e_0,e_0) -> cycle(e_3,e_3) cycle(e_3,e_2) cycle(e_3,e_1) equalish(e_0,e_1)*.
% 6.56/6.73 95[0:SSi:94.0,24.0] || greater(e_0,e_0)+ -> cycle(e_3,e_3) cycle(e_3,e_2) cycle(e_3,e_1) equalish(e_0,e_1)*.
% 6.56/6.73 96[0:Res:16.4,90.0] group_element(e_3) || cycle(e_2,u) greater(u,e_0) -> cycle(e_3,e_3) cycle(e_3,e_2) cycle(e_3,e_1) equalish(u,e_1)*.
% 6.56/6.73 97[0:SSi:96.0,24.0] || cycle(e_2,u) greater(u,e_0) -> cycle(e_3,e_3) cycle(e_3,e_2) cycle(e_3,e_1) equalish(u,e_1)*.
% 6.56/6.73 102[0:Res:12.0,80.0] || next(e_3,u)*+ cycle(u,e_0) cycle(e_2,e_1) cycle(e_3,e_0) -> .
% 6.56/6.73 103[0:Res:10.0,80.0] || next(e_3,u)*+ cycle(u,e_0) cycle(e_1,e_1) cycle(e_3,e_0) -> .
% 6.56/6.73 105[0:Res:9.0,80.0] || next(e_2,u)*+ cycle(u,e_0) cycle(e_1,e_1) cycle(e_2,e_0) -> .
% 6.56/6.73 107[0:Res:5.0,80.0] || next(e_1,u)*+ cycle(u,e_0) cycle(e_0,e_1) cycle(e_1,e_0) -> .
% 6.56/6.73 119[0:Res:9.0,79.0] || next(e_2,u)*+ cycle(u,e_0) cycle(e_1,e_2) cycle(e_2,e_0) -> .
% 6.56/6.73 121[0:Res:5.0,79.0] || next(e_1,u)*+ cycle(u,e_0) cycle(e_0,e_2) cycle(e_1,e_0) -> .
% 6.56/6.73 135[0:Res:5.0,78.0] || next(e_1,u)*+ cycle(u,e_1) cycle(e_0,e_2) cycle(e_1,e_0) -> .
% 6.56/6.73 147[0:Res:9.0,77.0] || next(e_2,u)*+ cycle(u,e_0) cycle(e_1,e_3) cycle(e_2,e_0) -> .
% 6.56/6.73 238[0:Res:38.5,58.2] group_element(u) group_element(v) group_element(u) group_element(w) || -> product(v,u,e_4) product(v,u,e_3) product(v,u,e_2)* product(w,u,e_4) product(w,u,e_3) product(w,u,e_2)* equalish(v,w)*.
% 6.56/6.73 239[0:Obv:238.0] group_element(u) group_element(v) group_element(w) || -> product(u,v,e_4) product(u,v,e_3) product(u,v,e_2)* product(w,v,e_4) product(w,v,e_3) product(w,v,e_2)* equalish(u,w)*.
% 6.56/6.73 240[0:Res:16.4,91.0] group_element(e_2) || cycle(e_1,u) greater(u,e_0) -> cycle(e_2,e_3) cycle(e_2,e_2) cycle(e_2,e_1) equalish(u,e_1)*.
% 6.56/6.73 241[0:SSi:240.0,23.0] || cycle(e_1,u) greater(u,e_0) -> cycle(e_2,e_3) cycle(e_2,e_2) cycle(e_2,e_1) equalish(u,e_1)*.
% 6.56/6.73 244[1:Spt:95.1] || -> cycle(e_3,e_3)*.
% 6.56/6.73 251[1:Res:244.0,93.0] || greater(e_3,e_0) -> equalish(e_3,e_1)*.
% 6.56/6.73 252[1:MRR:251.0,251.1,7.0,32.0] || -> .
% 6.56/6.73 253[1:Spt:252.0,95.1,244.0] || cycle(e_3,e_3)*+ -> .
% 6.56/6.73 254[1:Spt:252.0,95.0,95.2,95.3,95.4] || greater(e_0,e_0)+ -> cycle(e_3,e_2) cycle(e_3,e_1) equalish(e_0,e_1)*.
% 6.56/6.73 255[1:MRR:97.2,253.0] || cycle(e_2,u) greater(u,e_0) -> cycle(e_3,e_2) cycle(e_3,e_1) equalish(u,e_1)*.
% 6.56/6.73 256[2:Spt:254.1] || -> cycle(e_3,e_2)*.
% 6.56/6.73 262[2:Res:256.0,93.0] || greater(e_2,e_0) -> equalish(e_2,e_1)*.
% 6.56/6.73 263[2:MRR:262.0,262.1,6.0,29.0] || -> .
% 6.56/6.73 264[2:Spt:263.0,254.1,256.0] || cycle(e_3,e_2)*+ -> .
% 6.56/6.73 265[2:Spt:263.0,254.0,254.2,254.3] || greater(e_0,e_0)+ -> cycle(e_3,e_1) equalish(e_0,e_1)*.
% 6.56/6.73 266[2:MRR:255.2,264.0] || cycle(e_2,u) greater(u,e_0) -> cycle(e_3,e_1) equalish(u,e_1)*.
% 6.56/6.73 267[3:Spt:265.1] || -> cycle(e_3,e_1)*.
% 6.56/6.73 268[3:MRR:86.0,267.0] || cycle(e_2,u)+ greater(u,e_0) -> equalish(u,e_2)*.
% 6.56/6.73 276[3:Res:16.4,268.0] group_element(e_2) || greater(e_0,e_0) -> cycle(e_2,e_3) cycle(e_2,e_2) cycle(e_2,e_1) equalish(e_0,e_2)*.
% 6.56/6.73 277[3:SSi:276.0,23.0] || greater(e_0,e_0)+ -> cycle(e_2,e_3) cycle(e_2,e_2) cycle(e_2,e_1) equalish(e_0,e_2)*.
% 6.56/6.73 278[0:Res:38.5,57.2] group_element(u) group_element(v) group_element(w) group_element(v) || -> product(v,u,e_4) product(v,u,e_3) product(v,u,e_2)* product(v,w,e_4) product(v,w,e_3) product(v,w,e_2)* equalish(u,w)*.
% 6.56/6.73 279[0:Obv:278.1] group_element(u) group_element(v) group_element(w) || -> product(w,u,e_4) product(w,u,e_3) product(w,u,e_2)* product(w,v,e_4) product(w,v,e_3) product(w,v,e_2)* equalish(u,v)*.
% 6.56/6.73 280[0:Res:38.5,56.2] 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).
% 6.56/6.73 281[0:Obv:280.6] 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).
% 6.56/6.73 282[0:Res:38.5,55.2] group_element(u) group_element(v) group_element(e_1) group_element(u) || -> product(v,u,e_4) product(v,u,e_3) product(v,u,e_2)* product(u,e_1,e_4) product(u,e_1,e_3) product(u,e_1,e_2)* product(e_1,v,e_1)*.
% 6.56/6.73 283[0:Obv:282.0] group_element(u) group_element(e_1) group_element(v) || -> product(u,v,e_4) product(u,v,e_3) product(u,v,e_2)* product(v,e_1,e_4) product(v,e_1,e_3) product(v,e_1,e_2)* product(e_1,u,e_1)*.
% 6.56/6.73 284[0:SSi:283.1,22.0] group_element(u) group_element(v) || -> product(u,v,e_4) product(u,v,e_3) product(u,v,e_2)* product(v,e_1,e_4) product(v,e_1,e_3) product(v,e_1,e_2)* product(e_1,u,e_1)*.
% 6.56/6.73 285[0:Res:4.0,61.1] group_element(e_3) || cycle(e_3,u) greater(u,e_0)* -> product(e_3,e_1,e_4) product(e_3,e_1,e_3) product(e_3,e_1,e_2)* equalish(e_1,e_4).
% 6.56/6.73 286[0:Res:3.0,61.1] group_element(e_2) || cycle(e_2,u) greater(u,e_0)* -> product(e_2,e_1,e_4) product(e_2,e_1,e_3) product(e_2,e_1,e_2)* equalish(e_1,e_3).
% 6.56/6.73 287[0:Res:2.0,61.1] group_element(e_1) || cycle(e_1,u) greater(u,e_0)* -> product(e_1,e_1,e_4) product(e_1,e_1,e_3) product(e_1,e_1,e_2)* equalish(e_1,e_2).
% 6.56/6.73 289[0:SSi:287.0,22.0] || cycle(e_1,u) greater(u,e_0)* -> product(e_1,e_1,e_4) product(e_1,e_1,e_3) product(e_1,e_1,e_2)* equalish(e_1,e_2).
% 6.56/6.73 290[0:MRR:289.5,26.0] || cycle(e_1,u)+ greater(u,e_0)* -> product(e_1,e_1,e_4) product(e_1,e_1,e_3) product(e_1,e_1,e_2)*.
% 6.56/6.73 291[0:SSi:286.0,23.0] || cycle(e_2,u) greater(u,e_0)* -> product(e_2,e_1,e_4) product(e_2,e_1,e_3) product(e_2,e_1,e_2)* equalish(e_1,e_3).
% 6.56/6.73 292[0:MRR:291.5,27.0] || cycle(e_2,u)+ greater(u,e_0)* -> product(e_2,e_1,e_4) product(e_2,e_1,e_3) product(e_2,e_1,e_2)*.
% 6.56/6.73 293[0:SSi:285.0,24.0] || cycle(e_3,u) greater(u,e_0)* -> product(e_3,e_1,e_4) product(e_3,e_1,e_3) product(e_3,e_1,e_2)* equalish(e_1,e_4).
% 6.56/6.73 294[0:MRR:293.5,28.0] || cycle(e_3,u)+ greater(u,e_0)* -> product(e_3,e_1,e_4) product(e_3,e_1,e_3) product(e_3,e_1,e_2)*.
% 6.56/6.73 295[4:Spt:277.1] || -> cycle(e_2,e_3)*.
% 6.56/6.73 304[4:Res:295.0,268.0] || greater(e_3,e_0) -> equalish(e_3,e_2)*.
% 6.56/6.73 305[4:MRR:304.0,304.1,7.0,33.0] || -> .
% 6.56/6.73 306[4:Spt:305.0,277.1,295.0] || cycle(e_2,e_3)*+ -> .
% 6.56/6.73 307[4:Spt:305.0,277.0,277.2,277.3,277.4] || greater(e_0,e_0)+ -> cycle(e_2,e_2) cycle(e_2,e_1) equalish(e_0,e_2)*.
% 6.56/6.73 308[4:MRR:241.2,306.0] || cycle(e_1,u) greater(u,e_0) -> cycle(e_2,e_2) cycle(e_2,e_1) equalish(u,e_1)*.
% 6.56/6.73 309[5:Spt:307.1] || -> cycle(e_2,e_2)*.
% 6.56/6.73 310[5:MRR:83.0,309.0] || cycle(e_1,u)+ greater(u,e_0) -> equalish(u,e_3)*.
% 6.56/6.73 320[5:Res:16.4,310.0] group_element(e_1) || greater(e_0,e_0) -> cycle(e_1,e_3) cycle(e_1,e_2) cycle(e_1,e_1) equalish(e_0,e_3)*.
% 6.56/6.73 321[5:SSi:320.0,22.0] || greater(e_0,e_0)+ -> cycle(e_1,e_3) cycle(e_1,e_2) cycle(e_1,e_1) equalish(e_0,e_3)*.
% 6.56/6.73 325[6:Spt:321.1] || -> cycle(e_1,e_3)*.
% 6.56/6.73 342[0:Res:2.0,107.0] || cycle(e_2,e_0)+ cycle(e_0,e_1)* cycle(e_1,e_0) -> .
% 6.56/6.73 343[0:Res:2.0,121.0] || cycle(e_2,e_0)+ cycle(e_0,e_2)* cycle(e_1,e_0) -> .
% 6.56/6.73 344[0:Res:2.0,135.0] || cycle(e_2,e_1)+ cycle(e_0,e_2)* cycle(e_1,e_0) -> .
% 6.56/6.73 353[0:Res:16.4,290.0] group_element(e_1) || greater(e_0,e_0) -> cycle(e_1,e_3) cycle(e_1,e_2) cycle(e_1,e_1) product(e_1,e_1,e_4) product(e_1,e_1,e_3) product(e_1,e_1,e_2)*.
% 6.56/6.73 354[6:Res:325.0,290.0] || greater(e_3,e_0) -> product(e_1,e_1,e_4) product(e_1,e_1,e_3) product(e_1,e_1,e_2)*.
% 6.56/6.73 355[6:MRR:354.0,7.0] || -> product(e_1,e_1,e_4) product(e_1,e_1,e_3) product(e_1,e_1,e_2)*.
% 6.56/6.73 356[0:Res:16.4,292.0] group_element(e_2) || greater(e_0,e_0) -> cycle(e_2,e_3) cycle(e_2,e_2) cycle(e_2,e_1) product(e_2,e_1,e_4) product(e_2,e_1,e_3) product(e_2,e_1,e_2)*.
% 6.56/6.73 357[5:Res:309.0,292.0] || greater(e_2,e_0) -> product(e_2,e_1,e_4) product(e_2,e_1,e_3) product(e_2,e_1,e_2)*.
% 6.56/6.73 358[5:MRR:357.0,6.0] || -> product(e_2,e_1,e_4) product(e_2,e_1,e_3) product(e_2,e_1,e_2)*.
% 6.56/6.73 359[6:Res:355.2,20.2] || greater(e_2,e_1) cycle(e_1,e_0) -> product(e_1,e_1,e_4) product(e_1,e_1,e_3)*.
% 6.56/6.73 360[6:Res:355.2,42.0] || product(u,e_1,e_1)* -> product(e_1,e_1,e_4) product(e_1,e_1,e_3)* product(e_1,u,e_2)*.
% 6.56/6.73 362[6:Res:355.2,40.0] || product(e_1,u,e_2)* -> product(e_1,e_1,e_4) product(e_1,e_1,e_3)* equalish(u,e_1).
% 6.56/6.73 363[6:Res:355.2,41.0] || product(u,e_1,e_2)* -> product(e_1,e_1,e_4) product(e_1,e_1,e_3)* equalish(u,e_1).
% 6.56/6.73 366[6:Res:355.2,55.2] group_element(e_2) group_element(e_1) || -> product(e_1,e_1,e_4) product(e_1,e_1,e_3)* product(e_1,e_2,e_4) product(e_1,e_2,e_3) product(e_1,e_2,e_2) product(e_2,e_1,e_1).
% 6.56/6.73 367[6:MRR:359.0,9.0] || cycle(e_1,e_0)+ -> product(e_1,e_1,e_4) product(e_1,e_1,e_3)*.
% 6.56/6.73 369[6:SSi:366.1,366.0,22.0,23.0] || -> product(e_1,e_1,e_4) product(e_1,e_1,e_3)* product(e_1,e_2,e_4) product(e_1,e_2,e_3) product(e_1,e_2,e_2) product(e_2,e_1,e_1).
% 6.56/6.73 370[6:MRR:369.5,360.0] || -> product(e_1,e_1,e_4) product(e_1,e_1,e_3)* product(e_1,e_2,e_4) product(e_1,e_2,e_3) product(e_1,e_2,e_2).
% 6.56/6.73 376[5:Res:358.2,21.3] || next(e_2,u) cycle(e_2,v) greater(v,e_0)* -> product(e_2,e_1,e_4) product(e_2,e_1,e_3)* equalish(e_2,u)*.
% 6.56/6.73 382[7:Spt:367.1] || -> product(e_1,e_1,e_4)*.
% 6.56/6.73 388[7:Res:382.0,21.3] || next(e_1,u)+ cycle(e_1,v) greater(v,e_0)* -> equalish(e_4,u)*.
% 6.56/6.73 396[0:Res:16.4,294.0] group_element(e_3) || greater(e_0,e_0) -> cycle(e_3,e_3) cycle(e_3,e_2) cycle(e_3,e_1) product(e_3,e_1,e_4) product(e_3,e_1,e_3) product(e_3,e_1,e_2)*.
% 6.56/6.73 397[3:Res:267.0,294.0] || greater(e_1,e_0) -> product(e_3,e_1,e_4) product(e_3,e_1,e_3) product(e_3,e_1,e_2)*.
% 6.56/6.73 398[3:MRR:397.0,5.0] || -> product(e_3,e_1,e_4) product(e_3,e_1,e_3) product(e_3,e_1,e_2)*.
% 6.56/6.73 405[0:Res:284.4,42.0] group_element(u) group_element(v) || product(w,u,v)*+ -> product(u,v,e_4) product(u,v,e_3)* product(v,e_1,e_4) product(v,e_1,e_3) product(v,e_1,e_2)* product(e_1,u,e_1)* product(v,w,e_2)*.
% 6.56/6.73 461[3:Res:398.2,21.3] || next(e_3,u) cycle(e_3,v) greater(v,e_0)* -> product(e_3,e_1,e_4) product(e_3,e_1,e_3)* equalish(e_2,u)*.
% 6.56/6.73 467[7:Res:2.0,388.0] || cycle(e_1,u) greater(u,e_0)* -> equalish(e_4,e_2)*.
% 6.56/6.73 468[7:MRR:467.2,36.0] || cycle(e_1,u)+ greater(u,e_0)* -> .
% 6.56/6.73 502[7:Res:325.0,468.0] || greater(e_3,e_0)* -> .
% 6.56/6.73 503[7:MRR:502.0,7.0] || -> .
% 6.56/6.73 504[7:Spt:503.0,367.1,382.0] || product(e_1,e_1,e_4)*+ -> .
% 6.56/6.73 505[7:Spt:503.0,367.0,367.2] || cycle(e_1,e_0)+ -> product(e_1,e_1,e_3)*.
% 6.56/6.73 506[7:MRR:355.0,504.0] || -> product(e_1,e_1,e_3) product(e_1,e_1,e_2)*.
% 6.56/6.73 508[7:MRR:362.1,504.0] || product(e_1,u,e_2)* -> product(e_1,e_1,e_3)* equalish(u,e_1).
% 6.56/6.73 509[7:MRR:363.1,504.0] || product(u,e_1,e_2)* -> product(e_1,e_1,e_3)* equalish(u,e_1).
% 6.56/6.73 511[7:MRR:370.0,504.0] || -> product(e_1,e_1,e_3)* product(e_1,e_2,e_4) product(e_1,e_2,e_3) product(e_1,e_2,e_2).
% 6.56/6.73 517[8:Spt:506.0] || -> product(e_1,e_1,e_3)*.
% 6.56/6.73 523[8:Res:517.0,21.3] || next(e_1,u)+ cycle(e_1,v) greater(v,e_0)* -> equalish(e_3,u)*.
% 6.56/6.73 555[8:Res:2.0,523.0] || cycle(e_1,u) greater(u,e_0)* -> equalish(e_3,e_2)*.
% 6.56/6.73 556[8:MRR:555.2,33.0] || cycle(e_1,u)+ greater(u,e_0)* -> .
% 6.56/6.73 590[8:Res:325.0,556.0] || greater(e_3,e_0)* -> .
% 6.56/6.73 591[8:MRR:590.0,7.0] || -> .
% 6.56/6.73 592[8:Spt:591.0,506.0,517.0] || product(e_1,e_1,e_3)*+ -> .
% 6.56/6.73 593[8:Spt:591.0,506.1] || -> product(e_1,e_1,e_2)*.
% 6.56/6.73 596[8:MRR:508.1,592.0] || product(e_1,u,e_2)*+ -> equalish(u,e_1).
% 6.56/6.73 597[8:MRR:509.1,592.0] || product(u,e_1,e_2)*+ -> equalish(u,e_1).
% 6.56/6.73 599[8:MRR:511.0,592.0] || -> product(e_1,e_2,e_4) product(e_1,e_2,e_3) product(e_1,e_2,e_2)*.
% 6.56/6.73 644[8:Res:358.2,597.0] || -> product(e_2,e_1,e_4) product(e_2,e_1,e_3)* equalish(e_2,e_1).
% 6.56/6.73 646[8:Res:398.2,597.0] || -> product(e_3,e_1,e_4) product(e_3,e_1,e_3)* equalish(e_3,e_1).
% 6.56/6.73 648[8:MRR:644.2,29.0] || -> product(e_2,e_1,e_4) product(e_2,e_1,e_3)*.
% 6.56/6.73 649[8:MRR:646.2,32.0] || -> product(e_3,e_1,e_4) product(e_3,e_1,e_3)*.
% 6.56/6.73 655[8:Res:648.1,42.0] || product(u,e_2,e_1)*+ -> product(e_2,e_1,e_4) product(e_1,u,e_3)*.
% 6.56/6.73 656[8:Res:648.1,39.0] || product(e_2,e_1,u)*+ -> product(e_2,e_1,e_4)* equalish(u,e_3).
% 6.56/6.73 658[8:Res:648.1,41.0] || product(u,e_1,e_3)*+ -> product(e_2,e_1,e_4)* equalish(u,e_2).
% 6.56/6.73 666[8:Res:649.1,42.0] || product(u,e_3,e_1)* -> product(e_3,e_1,e_4) product(e_1,u,e_3)*.
% 6.56/6.73 672[8:Res:649.1,55.2] group_element(e_3) group_element(e_1) || -> product(e_3,e_1,e_4) product(e_1,e_3,e_4) product(e_1,e_3,e_3) product(e_1,e_3,e_2)* product(e_3,e_3,e_1).
% 6.56/6.73 674[8:SSi:672.1,672.0,22.0,24.0] || -> product(e_3,e_1,e_4) product(e_1,e_3,e_4) product(e_1,e_3,e_3) product(e_1,e_3,e_2)* product(e_3,e_3,e_1).
% 6.56/6.73 675[8:MRR:674.4,666.0] || -> product(e_3,e_1,e_4) product(e_1,e_3,e_4) product(e_1,e_3,e_3) product(e_1,e_3,e_2)*.
% 6.56/6.73 702[8:Res:599.2,596.0] || -> product(e_1,e_2,e_4) product(e_1,e_2,e_3)* equalish(e_2,e_1).
% 6.56/6.73 704[8:MRR:702.2,29.0] || -> product(e_1,e_2,e_4) product(e_1,e_2,e_3)*.
% 6.56/6.73 707[8:Res:704.1,42.0] || product(u,e_1,e_2)*+ -> product(e_1,e_2,e_4)* product(e_2,u,e_3)*.
% 6.56/6.73 708[8:Res:704.1,39.0] || product(e_1,e_2,u)*+ -> product(e_1,e_2,e_4)* equalish(u,e_3).
% 6.56/6.73 709[8:Res:704.1,40.0] || product(e_1,u,e_3)*+ -> product(e_1,e_2,e_4)* equalish(u,e_2).
% 6.56/6.73 715[9:Spt:656.0,656.2] || product(e_2,e_1,u)*+ -> equalish(u,e_3).
% 6.56/6.73 741[10:Spt:658.0,658.2] || product(u,e_1,e_3)*+ -> equalish(u,e_2).
% 6.56/6.73 743[10:Res:649.1,741.0] || -> product(e_3,e_1,e_4)* equalish(e_3,e_2).
% 6.56/6.73 744[10:MRR:743.1,33.0] || -> product(e_3,e_1,e_4)*.
% 6.56/6.73 746[10:Res:744.0,42.0] || product(u,e_3,e_1)*+ -> product(e_1,u,e_4)*.
% 6.56/6.73 752[10:Res:744.0,55.2] group_element(e_4) group_element(e_1) || -> product(e_1,e_4,e_4) product(e_1,e_4,e_3) product(e_1,e_4,e_2)* product(e_4,e_3,e_1).
% 6.56/6.73 753[10:SSi:752.1,752.0,22.0,25.0] || -> product(e_1,e_4,e_4) product(e_1,e_4,e_3) product(e_1,e_4,e_2)* product(e_4,e_3,e_1).
% 6.56/6.73 754[10:MRR:753.3,746.0] || -> product(e_1,e_4,e_4) product(e_1,e_4,e_3) product(e_1,e_4,e_2)*.
% 6.56/6.73 779[10:Res:754.2,596.0] || -> product(e_1,e_4,e_4) product(e_1,e_4,e_3)* equalish(e_4,e_1).
% 6.56/6.73 781[10:MRR:779.2,35.0] || -> product(e_1,e_4,e_4) product(e_1,e_4,e_3)*.
% 6.56/6.73 790[11:Spt:708.0,708.2] || product(e_1,e_2,u)*+ -> equalish(u,e_3).
% 6.56/6.73 802[12:Spt:709.0,709.2] || product(e_1,u,e_3)*+ -> equalish(u,e_2).
% 6.56/6.73 804[12:Res:781.1,802.0] || -> product(e_1,e_4,e_4)* equalish(e_4,e_2).
% 6.56/6.73 805[12:MRR:804.1,36.0] || -> product(e_1,e_4,e_4)*.
% 6.56/6.73 810[12:Res:805.0,40.0] || product(e_1,u,e_4)*+ -> equalish(u,e_4).
% 6.56/6.73 854[13:Spt:655.0,655.2] || product(u,e_2,e_1)*+ -> product(e_1,u,e_3)*.
% 6.56/6.73 863[14:Spt:707.0,707.2] || product(u,e_1,e_2)*+ -> product(e_2,u,e_3)*.
% 6.56/6.73 873[14:Res:593.0,863.0] || -> product(e_2,e_1,e_3)*.
% 6.56/6.73 888[14:Res:873.0,55.2] group_element(e_3) group_element(e_1) || -> product(e_1,e_3,e_4) product(e_1,e_3,e_3) product(e_1,e_3,e_2)* product(e_3,e_2,e_1).
% 6.56/6.73 890[14:SSi:888.1,888.0,22.0,24.0] || -> product(e_1,e_3,e_4) product(e_1,e_3,e_3) product(e_1,e_3,e_2)* product(e_3,e_2,e_1).
% 6.56/6.73 891[14:MRR:890.3,854.0] || -> product(e_1,e_3,e_4) product(e_1,e_3,e_3) product(e_1,e_3,e_2)*.
% 6.56/6.73 897[14:Res:891.2,596.0] || -> product(e_1,e_3,e_4) product(e_1,e_3,e_3)* equalish(e_3,e_1).
% 6.56/6.73 899[14:MRR:897.2,32.0] || -> product(e_1,e_3,e_4) product(e_1,e_3,e_3)*.
% 6.56/6.73 907[14:Res:899.1,802.0] || -> product(e_1,e_3,e_4)* equalish(e_3,e_2).
% 6.56/6.73 908[14:MRR:907.1,33.0] || -> product(e_1,e_3,e_4)*.
% 6.56/6.73 920[14:Res:908.0,810.0] || -> equalish(e_3,e_4)*.
% 6.56/6.73 923[14:MRR:920.0,34.0] || -> .
% 6.56/6.73 926[14:Spt:923.0,707.1] || -> product(e_1,e_2,e_4)*.
% 6.56/6.73 934[14:Res:926.0,790.0] || -> equalish(e_4,e_3)*.
% 6.56/6.73 936[14:MRR:934.0,37.0] || -> .
% 6.56/6.73 939[13:Spt:936.0,655.1] || -> product(e_2,e_1,e_4)*.
% 6.56/6.73 950[13:Res:939.0,715.0] || -> equalish(e_4,e_3)*.
% 6.56/6.73 952[13:MRR:950.0,37.0] || -> .
% 6.56/6.73 953[12:Spt:952.0,709.1] || -> product(e_1,e_2,e_4)*.
% 6.56/6.73 960[12:Res:953.0,790.0] || -> equalish(e_4,e_3)*.
% 6.56/6.73 961[12:MRR:960.0,37.0] || -> .
% 6.56/6.73 964[11:Spt:961.0,708.1] || -> product(e_1,e_2,e_4)*.
% 6.56/6.73 965[11:Res:964.0,42.0] || product(u,e_1,e_2)*+ -> product(e_2,u,e_4)*.
% 6.56/6.73 972[12:Spt:648.0] || -> product(e_2,e_1,e_4)*.
% 6.56/6.73 982[12:Res:972.0,715.0] || -> equalish(e_4,e_3)*.
% 6.56/6.73 984[12:MRR:982.0,37.0] || -> .
% 6.56/6.73 985[12:Spt:984.0,648.0,972.0] || product(e_2,e_1,e_4)*+ -> .
% 6.56/6.73 986[12:Spt:984.0,648.1] || -> product(e_2,e_1,e_3)*.
% 6.56/6.73 1103[11:Res:593.0,965.0] || -> product(e_2,e_1,e_4)*.
% 6.56/6.73 1104[12:MRR:1103.0,985.0] || -> .
% 6.56/6.73 1110[10:Spt:1104.0,658.1] || -> product(e_2,e_1,e_4)*.
% 6.56/6.73 1119[10:Res:1110.0,715.0] || -> equalish(e_4,e_3)*.
% 6.56/6.73 1120[10:MRR:1119.0,37.0] || -> .
% 6.56/6.73 1123[9:Spt:1120.0,656.1] || -> product(e_2,e_1,e_4)*.
% 6.56/6.73 1125[9:Res:1123.0,42.0] || product(u,e_2,e_1)*+ -> product(e_1,u,e_4)*.
% 6.56/6.73 1126[9:Res:1123.0,39.0] || product(e_2,e_1,u)*+ -> equalish(u,e_4).
% 6.56/6.73 1128[9:Res:1123.0,41.0] || product(u,e_1,e_4)*+ -> equalish(u,e_2).
% 6.56/6.73 1131[9:Res:1123.0,55.2] group_element(e_4) group_element(e_1) || -> product(e_1,e_4,e_4) product(e_1,e_4,e_3) product(e_1,e_4,e_2)* product(e_4,e_2,e_1).
% 6.56/6.73 1132[9:SSi:1131.1,1131.0,22.0,25.0] || -> product(e_1,e_4,e_4) product(e_1,e_4,e_3) product(e_1,e_4,e_2)* product(e_4,e_2,e_1).
% 6.56/6.73 1133[9:MRR:1132.3,1125.0] || -> product(e_1,e_4,e_4) product(e_1,e_4,e_3) product(e_1,e_4,e_2)*.
% 6.56/6.73 1153[10:Spt:704.0] || -> product(e_1,e_2,e_4)*.
% 6.56/6.73 1156[10:Res:1153.0,40.0] || product(e_1,u,e_4)*+ -> equalish(u,e_2).
% 6.56/6.73 1165[11:Spt:649.0] || -> product(e_3,e_1,e_4)*.
% 6.56/6.73 1208[11:Res:1165.0,1128.0] || -> equalish(e_3,e_2)*.
% 6.56/6.73 1209[11:MRR:1208.0,33.0] || -> .
% 6.56/6.73 1210[11:Spt:1209.0,649.0,1165.0] || product(e_3,e_1,e_4)*+ -> .
% 6.56/6.73 1211[11:Spt:1209.0,649.1] || -> product(e_3,e_1,e_3)*.
% 6.56/6.73 1216[11:MRR:675.0,1210.0] || -> product(e_1,e_3,e_4) product(e_1,e_3,e_3) product(e_1,e_3,e_2)*.
% 6.56/6.73 1337[9:Res:1133.2,596.0] || -> product(e_1,e_4,e_4) product(e_1,e_4,e_3)* equalish(e_4,e_1).
% 6.56/6.73 1341[9:MRR:1337.2,35.0] || -> product(e_1,e_4,e_4) product(e_1,e_4,e_3)*.
% 6.56/6.73 1346[9:Res:1341.1,39.0] || product(e_1,e_4,u)*+ -> product(e_1,e_4,e_4)* equalish(u,e_3).
% 6.56/6.73 1347[9:Res:1341.1,40.0] || product(e_1,u,e_3)*+ -> product(e_1,e_4,e_4)* equalish(u,e_4).
% 6.56/6.73 1366[11:Res:1216.2,596.0] || -> product(e_1,e_3,e_4) product(e_1,e_3,e_3)* equalish(e_3,e_1).
% 6.56/6.73 1370[11:MRR:1366.2,32.0] || -> product(e_1,e_3,e_4) product(e_1,e_3,e_3)*.
% 6.56/6.73 1389[12:Spt:1346.0,1346.2] || product(e_1,e_4,u)*+ -> equalish(u,e_3).
% 6.56/6.73 1401[13:Spt:1347.0,1347.2] || product(e_1,u,e_3)*+ -> equalish(u,e_4).
% 6.56/6.73 1403[13:Res:1370.1,1401.0] || -> product(e_1,e_3,e_4)* equalish(e_3,e_4).
% 6.56/6.73 1404[13:MRR:1403.1,34.0] || -> product(e_1,e_3,e_4)*.
% 6.56/6.73 1413[13:Res:1404.0,1156.0] || -> equalish(e_3,e_2)*.
% 6.56/6.73 1414[13:MRR:1413.0,33.0] || -> .
% 6.56/6.73 1417[13:Spt:1414.0,1347.1] || -> product(e_1,e_4,e_4)*.
% 6.56/6.73 1427[13:Res:1417.0,1389.0] || -> equalish(e_4,e_3)*.
% 6.56/6.73 1429[13:MRR:1427.0,37.0] || -> .
% 6.56/6.73 1433[12:Spt:1429.0,1346.1] || -> product(e_1,e_4,e_4)*.
% 6.56/6.73 1442[12:Res:1433.0,1156.0] || -> equalish(e_4,e_2)*.
% 6.56/6.73 1443[12:MRR:1442.0,36.0] || -> .
% 6.56/6.73 1449[10:Spt:1443.0,704.0,1153.0] || product(e_1,e_2,e_4)*+ -> .
% 6.56/6.73 1450[10:Spt:1443.0,704.1] || -> product(e_1,e_2,e_3)*.
% 6.56/6.73 1454[10:MRR:707.1,1449.0] || product(u,e_1,e_2)*+ -> product(e_2,u,e_3)*.
% 6.56/6.73 1639[10:Res:593.0,1454.0] || -> product(e_2,e_1,e_3)*.
% 6.56/6.73 1657[10:Res:1639.0,1126.0] || -> equalish(e_3,e_4)*.
% 6.56/6.73 1660[10:MRR:1657.0,34.0] || -> .
% 6.56/6.73 1662[6:Spt:1660.0,321.1,325.0] || cycle(e_1,e_3)*+ -> .
% 6.56/6.73 1663[6:Spt:1660.0,321.0,321.2,321.3,321.4] || greater(e_0,e_0)+ -> cycle(e_1,e_2) cycle(e_1,e_1) equalish(e_0,e_3)*.
% 6.56/6.73 1665[0:SSi:353.0,22.0] || greater(e_0,e_0) -> cycle(e_1,e_3) cycle(e_1,e_2) cycle(e_1,e_1) product(e_1,e_1,e_4) product(e_1,e_1,e_3) product(e_1,e_1,e_2)*.
% 6.56/6.73 1686[7:Spt:1663.1] || -> cycle(e_1,e_2)*.
% 6.56/6.73 1695[7:Res:1686.0,310.0] || greater(e_2,e_0) -> equalish(e_2,e_3)*.
% 6.56/6.73 1696[7:MRR:1695.0,1695.1,6.0,30.0] || -> .
% 6.56/6.73 1697[7:Spt:1696.0,1663.1,1686.0] || cycle(e_1,e_2)*+ -> .
% 6.56/6.73 1698[7:Spt:1696.0,1663.0,1663.2,1663.3] || greater(e_0,e_0)+ -> cycle(e_1,e_1) equalish(e_0,e_3)*.
% 6.56/6.73 1701[8:Spt:1698.1] || -> cycle(e_1,e_1)*.
% 6.56/6.73 1706[8:Res:1701.0,310.0] || greater(e_1,e_0) -> equalish(e_1,e_3)*.
% 6.56/6.73 1707[8:MRR:1706.0,1706.1,5.0,27.0] || -> .
% 6.56/6.73 1708[8:Spt:1707.0,1698.1,1701.0] || cycle(e_1,e_1)*+ -> .
% 6.56/6.73 1709[8:Spt:1707.0,1698.0,1698.2] || greater(e_0,e_0)+ -> equalish(e_0,e_3)*.
% 6.56/6.73 1713[9:Spt:358.0] || -> product(e_2,e_1,e_4)*.
% 6.56/6.73 1720[9:Res:1713.0,21.3] || next(e_2,u)+ cycle(e_2,v) greater(v,e_0)* -> equalish(e_4,u)*.
% 6.56/6.73 1852[9:Res:3.0,1720.0] || cycle(e_2,u) greater(u,e_0)* -> equalish(e_4,e_3)*.
% 6.56/6.73 1853[9:MRR:1852.2,37.0] || cycle(e_2,u)+ greater(u,e_0)* -> .
% 6.56/6.73 1856[9:Res:309.0,1853.0] || greater(e_2,e_0)* -> .
% 6.56/6.73 1857[9:MRR:1856.0,6.0] || -> .
% 6.56/6.73 1858[9:Spt:1857.0,358.0,1713.0] || product(e_2,e_1,e_4)*+ -> .
% 6.56/6.73 1859[9:Spt:1857.0,358.1,358.2] || -> product(e_2,e_1,e_3) product(e_2,e_1,e_2)*.
% 6.56/6.73 1866[9:MRR:376.3,1858.0] || next(e_2,u) cycle(e_2,v) greater(v,e_0)* -> product(e_2,e_1,e_3)* equalish(e_2,u)*.
% 6.56/6.73 1867[10:Spt:1859.0] || -> product(e_2,e_1,e_3)*.
% 6.56/6.73 1870[10:Res:1867.0,42.0] || product(u,e_2,e_1)*+ -> product(e_1,u,e_3)*.
% 6.56/6.73 1872[10:Res:1867.0,40.0] || product(e_2,u,e_3)*+ -> equalish(u,e_1).
% 6.56/6.73 1873[10:Res:1867.0,41.0] || product(u,e_1,e_3)*+ -> equalish(u,e_2).
% 6.56/6.73 1877[10:Res:1867.0,55.2] group_element(e_3) group_element(e_1) || -> product(e_1,e_3,e_4) product(e_1,e_3,e_3) product(e_1,e_3,e_2)* product(e_3,e_2,e_1).
% 6.56/6.73 1881[10:SSi:1877.1,1877.0,22.0,24.0] || -> product(e_1,e_3,e_4) product(e_1,e_3,e_3) product(e_1,e_3,e_2)* product(e_3,e_2,e_1).
% 6.56/6.73 1882[10:MRR:1881.3,1870.0] || -> product(e_1,e_3,e_4) product(e_1,e_3,e_3) product(e_1,e_3,e_2)*.
% 6.56/6.73 1901[11:Spt:398.0] || -> product(e_3,e_1,e_4)*.
% 6.56/6.73 1904[11:Res:1901.0,42.0] || product(u,e_3,e_1)*+ -> product(e_1,u,e_4)*.
% 6.56/6.73 1905[11:Res:1901.0,39.0] || product(e_3,e_1,u)*+ -> equalish(u,e_4).
% 6.56/6.73 1906[11:Res:1901.0,40.0] || product(e_3,u,e_4)*+ -> equalish(u,e_1).
% 6.56/6.73 1907[11:Res:1901.0,41.0] || product(u,e_1,e_4)*+ -> equalish(u,e_3).
% 6.56/6.73 1911[11:Res:1901.0,55.2] group_element(e_4) group_element(e_1) || -> product(e_1,e_4,e_4) product(e_1,e_4,e_3) product(e_1,e_4,e_2)* product(e_4,e_3,e_1).
% 6.56/6.73 1914[11:SSi:1911.1,1911.0,22.0,25.0] || -> product(e_1,e_4,e_4) product(e_1,e_4,e_3) product(e_1,e_4,e_2)* product(e_4,e_3,e_1).
% 6.56/6.73 1915[11:MRR:1914.3,1904.0] || -> product(e_1,e_4,e_4) product(e_1,e_4,e_3) product(e_1,e_4,e_2)*.
% 6.56/6.73 1927[12:Spt:290.4] || -> product(e_1,e_1,e_2)*.
% 6.56/6.73 1928[12:Res:1927.0,20.2] || greater(e_2,e_1)* cycle(e_1,e_0) -> .
% 6.56/6.73 1947[12:MRR:1928.0,9.0] || cycle(e_1,e_0)*+ -> .
% 6.56/6.73 1960[12:Res:16.4,1947.0] group_element(e_1) || -> cycle(e_1,e_3) cycle(e_1,e_2) cycle(e_1,e_1)*.
% 6.56/6.73 1961[12:SSi:1960.0,22.0] || -> cycle(e_1,e_3) cycle(e_1,e_2) cycle(e_1,e_1)*.
% 6.56/6.73 1962[12:MRR:1961.0,1961.1,1961.2,1662.0,1697.0,1708.0] || -> .
% 6.56/6.73 1963[12:Spt:1962.0,290.4,1927.0] || product(e_1,e_1,e_2)*+ -> .
% 6.56/6.73 1964[12:Spt:1962.0,290.0,290.1,290.2,290.3] || cycle(e_1,u)+ greater(u,e_0)* -> product(e_1,e_1,e_4) product(e_1,e_1,e_3)*.
% 6.56/6.73 1972[13:Spt:1964.3] || -> product(e_1,e_1,e_3)*.
% 6.56/6.73 1980[13:Res:1972.0,1873.0] || -> equalish(e_1,e_2)*.
% 6.56/6.73 1987[13:MRR:1980.0,26.0] || -> .
% 6.56/6.73 1996[13:Spt:1987.0,1964.3,1972.0] || product(e_1,e_1,e_3)*+ -> .
% 6.56/6.73 1997[13:Spt:1987.0,1964.0,1964.1,1964.2] || cycle(e_1,u)+ greater(u,e_0)* -> product(e_1,e_1,e_4)*.
% 6.56/6.73 2011[12:Res:239.5,1963.0] group_element(e_1) group_element(e_1) group_element(u) || -> product(e_1,e_1,e_4) product(e_1,e_1,e_3)* product(u,e_1,e_4) product(u,e_1,e_3) product(u,e_1,e_2)* equalish(e_1,u).
% 6.56/6.73 2031[12:Obv:2011.0] group_element(e_1) group_element(u) || -> product(e_1,e_1,e_4) product(e_1,e_1,e_3)* product(u,e_1,e_4) product(u,e_1,e_3) product(u,e_1,e_2)* equalish(e_1,u).
% 6.56/6.73 2032[12:SSi:2031.0,22.0] group_element(u) || -> product(e_1,e_1,e_4) product(e_1,e_1,e_3)* product(u,e_1,e_4) product(u,e_1,e_3) product(u,e_1,e_2)* equalish(e_1,u).
% 6.56/6.73 2033[13:MRR:2032.2,1996.0] group_element(u) || -> product(e_1,e_1,e_4)* product(u,e_1,e_4) product(u,e_1,e_3) product(u,e_1,e_2)* equalish(e_1,u).
% 6.56/6.73 2044[10:Res:1882.2,39.0] || product(e_1,e_3,u)*+ -> product(e_1,e_3,e_4) product(e_1,e_3,e_3)* equalish(u,e_2).
% 6.56/6.73 2045[10:Res:1882.2,40.0] || product(e_1,u,e_2)*+ -> product(e_1,e_3,e_4) product(e_1,e_3,e_3)* equalish(u,e_3).
% 6.56/6.73 2066[11:Res:1915.2,42.0] || product(u,e_1,e_4)* -> product(e_1,e_4,e_4) product(e_1,e_4,e_3)* product(e_4,u,e_2)*.
% 6.56/6.73 2091[14:Spt:2044.0,2044.3] || product(e_1,e_3,u)*+ -> equalish(u,e_2).
% 6.56/6.73 2103[15:Spt:2045.0,2045.3] || product(e_1,u,e_2)*+ -> equalish(u,e_3).
% 6.56/6.73 2113[15:Res:1915.2,2103.0] || -> product(e_1,e_4,e_4) product(e_1,e_4,e_3)* equalish(e_4,e_3).
% 6.56/6.73 2114[15:MRR:2113.2,37.0] || -> product(e_1,e_4,e_4) product(e_1,e_4,e_3)*.
% 6.56/6.73 2123[15:Res:2114.1,42.0] || product(u,e_1,e_4)*+ -> product(e_1,e_4,e_4)* product(e_4,u,e_3)*.
% 6.56/6.73 2124[15:Res:2114.1,39.0] || product(e_1,e_4,u)*+ -> product(e_1,e_4,e_4)* equalish(u,e_3).
% 6.56/6.73 2173[16:Spt:2124.0,2124.2] || product(e_1,e_4,u)*+ -> equalish(u,e_3).
% 6.56/6.73 2189[17:Spt:2123.0,2123.2] || product(u,e_1,e_4)*+ -> product(e_4,u,e_3)*.
% 6.56/6.73 2191[17:Res:1901.0,2189.0] || -> product(e_4,e_3,e_3)*.
% 6.56/6.73 2229[17:Res:2191.0,42.0] || product(u,e_4,e_3)*+ -> product(e_3,u,e_3)*.
% 6.56/6.73 2284[17:Res:2114.1,2229.0] || -> product(e_1,e_4,e_4)* product(e_3,e_1,e_3).
% 6.56/6.73 2294[17:Res:2284.0,2173.0] || -> product(e_3,e_1,e_3)* equalish(e_4,e_3).
% 6.56/6.73 2295[17:MRR:2294.1,37.0] || -> product(e_3,e_1,e_3)*.
% 6.56/6.73 2311[17:Res:2295.0,1905.0] || -> equalish(e_3,e_4)*.
% 6.56/6.73 2313[17:MRR:2311.0,34.0] || -> .
% 6.56/6.73 2315[17:Spt:2313.0,2123.1] || -> product(e_1,e_4,e_4)*.
% 6.56/6.73 2325[17:Res:2315.0,2173.0] || -> equalish(e_4,e_3)*.
% 6.56/6.73 2326[17:MRR:2325.0,37.0] || -> .
% 6.56/6.73 2333[16:Spt:2326.0,2124.1] || -> product(e_1,e_4,e_4)*.
% 6.56/6.73 2335[16:Res:2333.0,42.0] || product(u,e_1,e_4)*+ -> product(e_4,u,e_4)*.
% 6.56/6.73 2336[16:Res:2333.0,39.0] || product(e_1,e_4,u)*+ -> equalish(u,e_4).
% 6.56/6.73 2337[16:Res:2333.0,40.0] || product(e_1,u,e_4)*+ -> equalish(u,e_4).
% 6.56/6.73 2341[16:Res:2333.0,55.2] group_element(e_4) group_element(e_4) || -> product(e_4,e_4,e_4) product(e_4,e_4,e_3) product(e_4,e_4,e_2) product(e_4,e_1,e_1)*.
% 6.56/6.73 2344[16:Obv:2341.0] group_element(e_4) || -> product(e_4,e_4,e_4) product(e_4,e_4,e_3) product(e_4,e_4,e_2) product(e_4,e_1,e_1)*.
% 6.56/6.73 2345[16:SSi:2344.0,25.0] || -> product(e_4,e_4,e_4) product(e_4,e_4,e_3) product(e_4,e_4,e_2) product(e_4,e_1,e_1)*.
% 6.56/6.73 2361[17:Spt:2033.0,2033.2,2033.3,2033.4,2033.5] group_element(u) || -> product(u,e_1,e_4) product(u,e_1,e_3) product(u,e_1,e_2)* equalish(e_1,u).
% 6.56/6.73 2399[16:Res:1901.0,2335.0] || -> product(e_4,e_3,e_4)*.
% 6.56/6.73 2401[16:Res:2399.0,42.0] || product(u,e_4,e_3)*+ -> product(e_3,u,e_4)*.
% 6.56/6.73 2403[16:Res:2399.0,40.0] || product(e_4,u,e_4)*+ -> equalish(u,e_3).
% 6.56/6.73 2491[16:Res:2345.3,20.2] || greater(e_1,e_4) cycle(e_4,e_0) -> product(e_4,e_4,e_4) product(e_4,e_4,e_3) product(e_4,e_4,e_2)*.
% 6.56/6.73 2503[16:Res:2345.3,55.2] group_element(e_1) group_element(e_1) || -> product(e_4,e_4,e_4) product(e_4,e_4,e_3) product(e_4,e_4,e_2) product(e_1,e_1,e_4) product(e_1,e_1,e_3) product(e_1,e_1,e_2)* product(e_1,e_4,e_1).
% 6.56/6.73 2507[16:MRR:2491.1,17.0] || greater(e_1,e_4)+ -> product(e_4,e_4,e_4) product(e_4,e_4,e_3) product(e_4,e_4,e_2)*.
% 6.56/6.73 2510[16:Obv:2503.0] group_element(e_1) || -> product(e_4,e_4,e_4) product(e_4,e_4,e_3) product(e_4,e_4,e_2) product(e_1,e_1,e_4) product(e_1,e_1,e_3) product(e_1,e_1,e_2)* product(e_1,e_4,e_1).
% 6.56/6.73 2511[16:SSi:2510.0,22.0] || -> product(e_4,e_4,e_4) product(e_4,e_4,e_3) product(e_4,e_4,e_2) product(e_1,e_1,e_4) product(e_1,e_1,e_3) product(e_1,e_1,e_2)* product(e_1,e_4,e_1).
% 6.56/6.73 2512[16:MRR:2511.4,2511.5,1996.0,1963.0] || -> product(e_4,e_4,e_4) product(e_4,e_4,e_3) product(e_4,e_4,e_2) product(e_1,e_1,e_4)* product(e_1,e_4,e_1).
% 6.56/6.73 2540[18:Spt:2507.1] || -> product(e_4,e_4,e_4)*.
% 6.56/6.73 2549[18:Res:2540.0,2403.0] || -> equalish(e_4,e_3)*.
% 6.56/6.73 2552[18:MRR:2549.0,37.0] || -> .
% 6.56/6.73 2557[18:Spt:2552.0,2507.1,2540.0] || product(e_4,e_4,e_4)*+ -> .
% 6.56/6.73 2558[18:Spt:2552.0,2507.0,2507.2,2507.3] || greater(e_1,e_4)+ -> product(e_4,e_4,e_3) product(e_4,e_4,e_2)*.
% 6.56/6.73 2559[18:MRR:2345.0,2557.0] || -> product(e_4,e_4,e_3) product(e_4,e_4,e_2) product(e_4,e_1,e_1)*.
% 6.56/6.73 2560[18:MRR:2512.0,2557.0] || -> product(e_4,e_4,e_3) product(e_4,e_4,e_2) product(e_1,e_1,e_4)* product(e_1,e_4,e_1).
% 6.56/6.73 2571[19:Spt:2558.1] || -> product(e_4,e_4,e_3)*.
% 6.56/6.73 2577[19:Res:2571.0,2401.0] || -> product(e_3,e_4,e_4)*.
% 6.56/6.73 2591[19:Res:2577.0,1906.0] || -> equalish(e_4,e_1)*.
% 6.56/6.73 2594[19:MRR:2591.0,35.0] || -> .
% 6.56/6.73 2597[19:Spt:2594.0,2558.1,2571.0] || product(e_4,e_4,e_3)*+ -> .
% 6.56/6.73 2598[19:Spt:2594.0,2558.0,2558.2] || greater(e_1,e_4)+ -> product(e_4,e_4,e_2)*.
% 6.56/6.73 2599[19:MRR:2559.0,2597.0] || -> product(e_4,e_4,e_2) product(e_4,e_1,e_1)*.
% 6.56/6.73 2600[19:MRR:2560.0,2597.0] || -> product(e_4,e_4,e_2) product(e_1,e_1,e_4)* product(e_1,e_4,e_1).
% 6.56/6.73 2612[20:Spt:2599.0] || -> product(e_4,e_4,e_2)*.
% 6.56/6.73 2617[20:Res:2612.0,40.0] || product(e_4,u,e_2)*+ -> equalish(u,e_4).
% 6.56/6.73 2651[20:Res:2361.3,2617.0] group_element(e_4) || -> product(e_4,e_1,e_4) product(e_4,e_1,e_3)* equalish(e_1,e_4) equalish(e_1,e_4).
% 6.56/6.73 2661[20:Obv:2651.3] group_element(e_4) || -> product(e_4,e_1,e_4) product(e_4,e_1,e_3)* equalish(e_1,e_4).
% 6.56/6.73 2662[20:SSi:2661.0,25.0] || -> product(e_4,e_1,e_4) product(e_4,e_1,e_3)* equalish(e_1,e_4).
% 6.56/6.73 2663[20:MRR:2662.2,28.0] || -> product(e_4,e_1,e_4) product(e_4,e_1,e_3)*.
% 6.56/6.73 2741[20:Res:2663.1,1873.0] || -> product(e_4,e_1,e_4)* equalish(e_4,e_2).
% 6.56/6.73 2747[20:MRR:2741.1,36.0] || -> product(e_4,e_1,e_4)*.
% 6.56/6.73 2758[20:Res:2747.0,2335.0] || -> product(e_4,e_4,e_4)*.
% 6.56/6.73 2768[20:MRR:2758.0,2557.0] || -> .
% 6.56/6.73 2770[20:Spt:2768.0,2599.0,2612.0] || product(e_4,e_4,e_2)*+ -> .
% 6.56/6.73 2771[20:Spt:2768.0,2599.1] || -> product(e_4,e_1,e_1)*.
% 6.56/6.73 2773[20:MRR:2600.0,2770.0] || -> product(e_1,e_1,e_4)* product(e_1,e_4,e_1).
% 6.56/6.73 2849[21:Spt:2773.0] || -> product(e_1,e_1,e_4)*.
% 6.56/6.73 2865[21:Res:2849.0,2337.0] || -> equalish(e_1,e_4)*.
% 6.56/6.73 2867[21:MRR:2865.0,28.0] || -> .
% 6.56/6.73 2893[21:Spt:2867.0,2773.0,2849.0] || product(e_1,e_1,e_4)* -> .
% 6.56/6.73 2894[21:Spt:2867.0,2773.1] || -> product(e_1,e_4,e_1)*.
% 6.56/6.73 2920[21:Res:2894.0,2336.0] || -> equalish(e_1,e_4)*.
% 6.56/6.73 2921[21:MRR:2920.0,28.0] || -> .
% 6.56/6.73 2927[17:Spt:2921.0,2033.1] || -> product(e_1,e_1,e_4)*.
% 6.56/6.73 2943[17:Res:2927.0,2337.0] || -> equalish(e_1,e_4)*.
% 6.56/6.73 2945[17:MRR:2943.0,28.0] || -> .
% 6.56/6.73 2964[15:Spt:2945.0,2045.1,2045.2] || -> product(e_1,e_3,e_4) product(e_1,e_3,e_3)*.
% 6.56/6.73 2974[15:Res:2964.1,2091.0] || -> product(e_1,e_3,e_4)* equalish(e_3,e_2).
% 6.56/6.73 2975[15:MRR:2974.1,33.0] || -> product(e_1,e_3,e_4)*.
% 6.56/6.73 2989[15:Res:2975.0,2091.0] || -> equalish(e_4,e_2)*.
% 6.56/6.73 2990[15:MRR:2989.0,36.0] || -> .
% 6.56/6.73 2996[14:Spt:2990.0,2044.1,2044.2] || -> product(e_1,e_3,e_4) product(e_1,e_3,e_3)*.
% 6.56/6.73 2998[14:Res:2996.1,42.0] || product(u,e_1,e_3)*+ -> product(e_1,e_3,e_4)* product(e_3,u,e_3)*.
% 6.56/6.73 2999[14:Res:2996.1,39.0] || product(e_1,e_3,u)*+ -> product(e_1,e_3,e_4)* equalish(u,e_3).
% 6.56/6.73 3001[14:Res:2996.1,41.0] || product(u,e_3,e_3)*+ -> product(e_1,e_3,e_4)* equalish(u,e_1).
% 6.56/6.73 3014[15:Spt:1915.0] || -> product(e_1,e_4,e_4)*.
% 6.56/6.73 3016[15:Res:3014.0,42.0] || product(u,e_1,e_4)*+ -> product(e_4,u,e_4)*.
% 6.56/6.73 3018[15:Res:3014.0,40.0] || product(e_1,u,e_4)*+ -> equalish(u,e_4).
% 6.56/6.73 3044[15:Res:1901.0,3016.0] || -> product(e_4,e_3,e_4)*.
% 6.56/6.73 3050[15:Res:3044.0,41.0] || product(u,e_3,e_4)*+ -> equalish(u,e_4).
% 6.56/6.73 3068[16:Spt:2999.0,2999.2] || product(e_1,e_3,u)*+ -> equalish(u,e_3).
% 6.56/6.73 3083[17:Spt:3001.0,3001.2] || product(u,e_3,e_3)*+ -> equalish(u,e_1).
% 6.56/6.73 3085[18:Spt:2998.0,2998.2] || product(u,e_1,e_3)*+ -> product(e_3,u,e_3)*.
% 6.56/6.73 3088[18:Res:1867.0,3085.0] || -> product(e_3,e_2,e_3)*.
% 6.56/6.73 3090[18:Res:3088.0,42.0] || product(u,e_3,e_2)*+ -> product(e_2,u,e_3)*.
% 6.56/6.73 3096[18:Res:3088.0,55.2] group_element(e_3) group_element(e_2) || -> product(e_2,e_3,e_4) product(e_2,e_3,e_3) product(e_2,e_3,e_2)* product(e_3,e_3,e_1).
% 6.56/6.73 3097[18:SSi:3096.1,3096.0,23.0,24.0] || -> product(e_2,e_3,e_4) product(e_2,e_3,e_3) product(e_2,e_3,e_2)* product(e_3,e_3,e_1).
% 6.56/6.73 3243[18:Res:3097.2,42.0] || product(u,e_2,e_3)* -> product(e_2,e_3,e_4) product(e_2,e_3,e_3)* product(e_3,e_3,e_1) product(e_3,u,e_2)*.
% 6.56/6.73 3248[18:Res:3097.2,3090.0] || -> product(e_2,e_3,e_4) product(e_2,e_3,e_3) product(e_3,e_3,e_1) product(e_2,e_2,e_3)*.
% 6.56/6.73 3255[18:MRR:3243.4,42.1] || product(u,e_2,e_3)* -> product(e_2,e_3,e_4) product(e_2,e_3,e_3)* product(e_3,e_3,e_1).
% 6.56/6.73 3256[18:MRR:3248.3,3255.0] || -> product(e_2,e_3,e_4) product(e_2,e_3,e_3)* product(e_3,e_3,e_1).
% 6.56/6.73 3264[18:Res:3256.1,3083.0] || -> product(e_2,e_3,e_4)* product(e_3,e_3,e_1) equalish(e_2,e_1).
% 6.56/6.73 3269[18:MRR:3264.2,29.0] || -> product(e_2,e_3,e_4)* product(e_3,e_3,e_1).
% 6.56/6.73 3279[18:Res:3269.0,3050.0] || -> product(e_3,e_3,e_1)* equalish(e_2,e_4).
% 6.56/6.73 3283[18:MRR:3279.1,31.0] || -> product(e_3,e_3,e_1)*.
% 6.56/6.73 3325[18:Res:3283.0,1904.0] || -> product(e_1,e_3,e_4)*.
% 6.56/6.73 3347[18:Res:3325.0,3068.0] || -> equalish(e_4,e_3)*.
% 6.56/6.73 3350[18:MRR:3347.0,37.0] || -> .
% 6.56/6.73 3355[18:Spt:3350.0,2998.1] || -> product(e_1,e_3,e_4)*.
% 6.56/6.73 3367[18:Res:3355.0,3068.0] || -> equalish(e_4,e_3)*.
% 6.56/6.73 3370[18:MRR:3367.0,37.0] || -> .
% 6.56/6.73 3379[17:Spt:3370.0,3001.1] || -> product(e_1,e_3,e_4)*.
% 6.56/6.73 3391[17:Res:3379.0,3068.0] || -> equalish(e_4,e_3)*.
% 6.56/6.73 3394[17:MRR:3391.0,37.0] || -> .
% 6.56/6.73 3403[16:Spt:3394.0,2999.1] || -> product(e_1,e_3,e_4)*.
% 6.56/6.73 3414[16:Res:3403.0,3018.0] || -> equalish(e_3,e_4)*.
% 6.56/6.73 3416[16:MRR:3414.0,34.0] || -> .
% 6.56/6.73 3429[15:Spt:3416.0,1915.0,3014.0] || product(e_1,e_4,e_4)*+ -> .
% 6.56/6.73 3430[15:Spt:3416.0,1915.1,1915.2] || -> product(e_1,e_4,e_3) product(e_1,e_4,e_2)*.
% 6.56/6.73 3434[15:MRR:2066.1,3429.0] || product(u,e_1,e_4)* -> product(e_1,e_4,e_3)* product(e_4,u,e_2)*.
% 6.56/6.73 3441[16:Spt:3430.0] || -> product(e_1,e_4,e_3)*.
% 6.56/6.73 3445[16:Res:3441.0,40.0] || product(e_1,u,e_3)*+ -> equalish(u,e_4).
% 6.56/6.73 3457[17:Spt:2996.0] || -> product(e_1,e_3,e_4)*.
% 6.56/6.73 3459[17:Res:3457.0,42.0] || product(u,e_1,e_3)*+ -> product(e_3,u,e_4)*.
% 6.56/6.73 3625[17:Res:1867.0,3459.0] || -> product(e_3,e_2,e_4)*.
% 6.56/6.73 3667[17:Res:3625.0,1906.0] || -> equalish(e_2,e_1)*.
% 6.56/6.73 3669[17:MRR:3667.0,29.0] || -> .
% 6.56/6.73 3673[17:Spt:3669.0,2996.0,3457.0] || product(e_1,e_3,e_4)* -> .
% 6.56/6.73 3674[17:Spt:3669.0,2996.1] || -> product(e_1,e_3,e_3)*.
% 6.56/6.73 3690[17:Res:3674.0,3445.0] || -> equalish(e_3,e_4)*.
% 6.56/6.73 3692[17:MRR:3690.0,34.0] || -> .
% 6.56/6.73 3696[16:Spt:3692.0,3430.0,3441.0] || product(e_1,e_4,e_3)*+ -> .
% 6.56/6.73 3697[16:Spt:3692.0,3430.1] || -> product(e_1,e_4,e_2)*.
% 6.56/6.73 3701[16:MRR:3434.1,3696.0] || product(u,e_1,e_4)*+ -> product(e_4,u,e_2)*.
% 6.56/6.73 3724[17:Spt:2996.0] || -> product(e_1,e_3,e_4)*.
% 6.56/6.73 3728[17:Res:3724.0,40.0] || product(e_1,u,e_4)*+ -> equalish(u,e_3).
% 6.56/6.73 3865[16:Res:1901.0,3701.0] || -> product(e_4,e_3,e_2)*.
% 6.56/6.73 3870[16:Res:3865.0,40.0] || product(e_4,u,e_2)*+ -> equalish(u,e_3).
% 6.56/6.73 3893[18:Spt:2033.0,2033.2,2033.3,2033.4,2033.5] group_element(u) || -> product(u,e_1,e_4) product(u,e_1,e_3) product(u,e_1,e_2)* equalish(e_1,u).
% 6.56/6.73 3929[18:Res:3893.3,3870.0] group_element(e_4) || -> product(e_4,e_1,e_4) product(e_4,e_1,e_3)* equalish(e_1,e_4) equalish(e_1,e_3).
% 6.56/6.73 3939[18:SSi:3929.0,25.0] || -> product(e_4,e_1,e_4) product(e_4,e_1,e_3)* equalish(e_1,e_4) equalish(e_1,e_3).
% 6.56/6.73 3940[18:MRR:3939.2,3939.3,28.0,27.0] || -> product(e_4,e_1,e_4) product(e_4,e_1,e_3)*.
% 6.56/6.73 3955[18:Res:3940.1,1873.0] || -> product(e_4,e_1,e_4)* equalish(e_4,e_2).
% 6.56/6.73 3961[18:MRR:3955.1,36.0] || -> product(e_4,e_1,e_4)*.
% 6.56/6.73 3973[18:Res:3961.0,1907.0] || -> equalish(e_4,e_3)*.
% 6.56/6.73 3979[18:MRR:3973.0,37.0] || -> .
% 6.56/6.73 3982[18:Spt:3979.0,2033.1] || -> product(e_1,e_1,e_4)*.
% 6.56/6.73 4000[18:Res:3982.0,3728.0] || -> equalish(e_1,e_3)*.
% 6.56/6.73 4002[18:MRR:4000.0,27.0] || -> .
% 6.56/6.73 4031[17:Spt:4002.0,2996.0,3724.0] || product(e_1,e_3,e_4)*+ -> .
% 6.56/6.73 4032[17:Spt:4002.0,2996.1] || -> product(e_1,e_3,e_3)*.
% 6.56/6.73 4036[17:MRR:2998.1,4031.0] || product(u,e_1,e_3)*+ -> product(e_3,u,e_3)*.
% 6.56/6.73 4077[17:Res:1867.0,4036.0] || -> product(e_3,e_2,e_3)*.
% 6.56/6.73 4079[17:Res:4077.0,42.0] || product(u,e_3,e_2)*+ -> product(e_2,u,e_3)*.
% 6.56/6.73 4104[17:Res:3865.0,4079.0] || -> product(e_2,e_4,e_3)*.
% 6.56/6.73 4118[17:Res:4104.0,1872.0] || -> equalish(e_4,e_1)*.
% 6.56/6.73 4120[17:MRR:4118.0,35.0] || -> .
% 6.56/6.73 4121[11:Spt:4120.0,398.0,1901.0] || product(e_3,e_1,e_4)*+ -> .
% 6.56/6.73 4122[11:Spt:4120.0,398.1,398.2] || -> product(e_3,e_1,e_3) product(e_3,e_1,e_2)*.
% 6.56/6.73 4128[11:MRR:461.3,4121.0] || next(e_3,u) cycle(e_3,v) greater(v,e_0)* -> product(e_3,e_1,e_3)* equalish(e_2,u)*.
% 6.56/6.73 4131[12:Spt:4122.0] || -> product(e_3,e_1,e_3)*.
% 6.56/6.73 4139[12:Res:4131.0,1873.0] || -> equalish(e_3,e_2)*.
% 6.56/6.73 4145[12:MRR:4139.0,33.0] || -> .
% 6.56/6.73 4147[12:Spt:4145.0,4122.0,4131.0] || product(e_3,e_1,e_3)*+ -> .
% 6.56/6.73 4148[12:Spt:4145.0,4122.1] || -> product(e_3,e_1,e_2)*.
% 6.56/6.73 4154[12:MRR:4128.3,4147.0] || next(e_3,u)+ cycle(e_3,v) greater(v,e_0)* -> equalish(e_2,u)*.
% 6.56/6.73 4416[12:Res:4.0,4154.0] || cycle(e_3,u) greater(u,e_0)* -> equalish(e_2,e_4)*.
% 6.56/6.73 4417[12:MRR:4416.2,31.0] || cycle(e_3,u)+ greater(u,e_0)* -> .
% 6.56/6.73 4419[12:Res:267.0,4417.0] || greater(e_1,e_0)* -> .
% 6.56/6.73 4420[12:MRR:4419.0,5.0] || -> .
% 6.56/6.73 4421[10:Spt:4420.0,1859.0,1867.0] || product(e_2,e_1,e_3)*+ -> .
% 6.56/6.73 4422[10:Spt:4420.0,1859.1] || -> product(e_2,e_1,e_2)*.
% 6.56/6.73 4429[10:MRR:1866.3,4421.0] || next(e_2,u)+ cycle(e_2,v) greater(v,e_0)* -> equalish(e_2,u)*.
% 6.56/6.73 4527[0:Res:16.4,342.0] group_element(e_2) || cycle(e_0,e_1)* cycle(e_1,e_0) -> cycle(e_2,e_3) cycle(e_2,e_2) cycle(e_2,e_1).
% 6.56/6.73 4528[0:Res:16.4,343.0] group_element(e_2) || cycle(e_0,e_2)* cycle(e_1,e_0) -> cycle(e_2,e_3) cycle(e_2,e_2) cycle(e_2,e_1).
% 6.56/6.73 4582[10:Res:3.0,4429.0] || cycle(e_2,u) greater(u,e_0)* -> equalish(e_2,e_3)*.
% 6.56/6.73 4583[10:MRR:4582.2,30.0] || cycle(e_2,u)+ greater(u,e_0)* -> .
% 6.56/6.73 4585[10:Res:309.0,4583.0] || greater(e_2,e_0)* -> .
% 6.56/6.73 4586[10:MRR:4585.0,6.0] || -> .
% 6.56/6.73 4587[5:Spt:4586.0,307.1,309.0] || cycle(e_2,e_2)*+ -> .
% 6.56/6.73 4588[5:Spt:4586.0,307.0,307.2,307.3] || greater(e_0,e_0)+ -> cycle(e_2,e_1) equalish(e_0,e_2)*.
% 6.56/6.73 4589[5:MRR:308.2,4587.0] || cycle(e_1,u) greater(u,e_0) -> cycle(e_2,e_1) equalish(u,e_1)*.
% 6.56/6.73 4590[0:SSi:4528.0,23.0] || cycle(e_0,e_2)* cycle(e_1,e_0) -> cycle(e_2,e_3) cycle(e_2,e_2) cycle(e_2,e_1).
% 6.56/6.73 4593[0:SSi:4527.0,23.0] || cycle(e_0,e_1)* cycle(e_1,e_0) -> cycle(e_2,e_3) cycle(e_2,e_2) cycle(e_2,e_1).
% 6.56/6.73 4596[0:SSi:356.0,23.0] || greater(e_0,e_0) -> cycle(e_2,e_3) cycle(e_2,e_2) cycle(e_2,e_1) product(e_2,e_1,e_4) product(e_2,e_1,e_3) product(e_2,e_1,e_2)*.
% 6.56/6.73 4597[4:MRR:4596.1,306.0] || greater(e_0,e_0) -> cycle(e_2,e_2) cycle(e_2,e_1) product(e_2,e_1,e_4) product(e_2,e_1,e_3) product(e_2,e_1,e_2)*.
% 6.56/6.73 4598[5:MRR:4597.1,4587.0] || greater(e_0,e_0) -> cycle(e_2,e_1) product(e_2,e_1,e_4) product(e_2,e_1,e_3) product(e_2,e_1,e_2)*.
% 6.56/6.73 4607[6:Spt:4588.1] || -> cycle(e_2,e_1)*.
% 6.56/6.73 4617[6:Res:4607.0,268.0] || greater(e_1,e_0) -> equalish(e_1,e_2)*.
% 6.56/6.73 4618[6:MRR:4617.0,4617.1,5.0,26.0] || -> .
% 6.56/6.73 4619[6:Spt:4618.0,4588.1,4607.0] || cycle(e_2,e_1)*+ -> .
% 6.56/6.73 4620[6:Spt:4618.0,4588.0,4588.2] || greater(e_0,e_0)+ -> equalish(e_0,e_2)*.
% 6.56/6.73 4622[6:MRR:4589.2,4619.0] || cycle(e_1,u)+ greater(u,e_0) -> equalish(u,e_1)*.
% 6.56/6.73 4623[6:MRR:4598.1,4619.0] || greater(e_0,e_0)+ -> product(e_2,e_1,e_4) product(e_2,e_1,e_3) product(e_2,e_1,e_2)*.
% 6.56/6.73 4624[6:Res:16.4,4622.0] group_element(e_1) || greater(e_0,e_0) -> cycle(e_1,e_3) cycle(e_1,e_2) cycle(e_1,e_1) equalish(e_0,e_1)*.
% 6.56/6.73 4625[6:SSi:4624.0,22.0] || greater(e_0,e_0)+ -> cycle(e_1,e_3) cycle(e_1,e_2) cycle(e_1,e_1) equalish(e_0,e_1)*.
% 6.56/6.73 4626[7:Spt:398.0] || -> product(e_3,e_1,e_4)*.
% 6.56/6.73 4629[7:Res:4626.0,42.0] || product(u,e_3,e_1)*+ -> product(e_1,u,e_4)*.
% 6.56/6.73 4630[7:Res:4626.0,39.0] || product(e_3,e_1,u)*+ -> equalish(u,e_4).
% 6.56/6.73 4631[7:Res:4626.0,40.0] || product(e_3,u,e_4)*+ -> equalish(u,e_1).
% 6.56/6.73 4632[7:Res:4626.0,41.0] || product(u,e_1,e_4)*+ -> equalish(u,e_3).
% 6.56/6.73 4636[7:Res:4626.0,55.2] group_element(e_4) group_element(e_1) || -> product(e_1,e_4,e_4) product(e_1,e_4,e_3) product(e_1,e_4,e_2)* product(e_4,e_3,e_1).
% 6.56/6.73 4640[7:SSi:4636.1,4636.0,22.0,25.0] || -> product(e_1,e_4,e_4) product(e_1,e_4,e_3) product(e_1,e_4,e_2)* product(e_4,e_3,e_1).
% 6.56/6.73 4641[7:MRR:4640.3,4629.0] || -> product(e_1,e_4,e_4) product(e_1,e_4,e_3) product(e_1,e_4,e_2)*.
% 6.56/6.73 4667[7:Res:4641.2,42.0] || product(u,e_1,e_4)* -> product(e_1,e_4,e_4) product(e_1,e_4,e_3)* product(e_4,u,e_2)*.
% 6.56/6.73 4668[7:Res:4641.2,39.0] || product(e_1,e_4,u)*+ -> product(e_1,e_4,e_4) product(e_1,e_4,e_3)* equalish(u,e_2).
% 6.56/6.73 4669[7:Res:4641.2,40.0] || product(e_1,u,e_2)* -> product(e_1,e_4,e_4) product(e_1,e_4,e_3)* equalish(u,e_4).
% 6.56/6.73 4673[7:Res:4641.2,405.2] group_element(e_4) group_element(e_2) || -> product(e_1,e_4,e_4) product(e_1,e_4,e_3) product(e_4,e_2,e_4) product(e_4,e_2,e_3) product(e_2,e_1,e_4) product(e_2,e_1,e_3) product(e_2,e_1,e_2) product(e_1,e_4,e_1)* product(e_2,e_1,e_2).
% 6.56/6.73 4674[7:Res:4641.2,55.2] group_element(e_2) group_element(e_4) || -> product(e_1,e_4,e_4) product(e_1,e_4,e_3)* 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_1,e_1).
% 6.56/6.73 4680[7:SSi:4674.1,4674.0,25.0,23.0] || -> product(e_1,e_4,e_4) product(e_1,e_4,e_3)* 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_1,e_1).
% 6.56/6.73 4689[7:Obv:4673.8] group_element(e_4) group_element(e_2) || -> product(e_1,e_4,e_4) product(e_1,e_4,e_3) product(e_4,e_2,e_4) product(e_4,e_2,e_3) product(e_2,e_1,e_4) product(e_2,e_1,e_3) product(e_1,e_4,e_1)* product(e_2,e_1,e_2).
% 6.56/6.73 4690[7:SSi:4689.1,4689.0,23.0,25.0] || -> product(e_1,e_4,e_4) product(e_1,e_4,e_3) product(e_4,e_2,e_4) product(e_4,e_2,e_3) product(e_2,e_1,e_4) product(e_2,e_1,e_3) product(e_1,e_4,e_1)* product(e_2,e_1,e_2).
% 6.56/6.73 4695[8:Spt:4623.1] || -> product(e_2,e_1,e_4)*.
% 6.56/6.73 4703[8:Res:4695.0,4632.0] || -> equalish(e_2,e_3)*.
% 6.56/6.73 4709[8:MRR:4703.0,30.0] || -> .
% 6.56/6.73 4713[8:Spt:4709.0,4623.1,4695.0] || product(e_2,e_1,e_4)*+ -> .
% 6.56/6.73 4714[8:Spt:4709.0,4623.0,4623.2,4623.3] || greater(e_0,e_0)+ -> product(e_2,e_1,e_3) product(e_2,e_1,e_2)*.
% 6.56/6.73 4716[8:MRR:4690.4,4713.0] || -> product(e_1,e_4,e_4) product(e_1,e_4,e_3) product(e_4,e_2,e_4) product(e_4,e_2,e_3) product(e_2,e_1,e_3) product(e_1,e_4,e_1)* product(e_2,e_1,e_2).
% 6.56/6.73 4725[9:Spt:4714.1] || -> product(e_2,e_1,e_3)*.
% 6.56/6.73 4726[9:Res:4725.0,20.2] || greater(e_3,e_2)* cycle(e_2,e_0) -> .
% 6.56/6.73 4738[9:MRR:4726.0,12.0] || cycle(e_2,e_0)*+ -> .
% 6.56/6.73 4742[9:Res:16.4,4738.0] group_element(e_2) || -> cycle(e_2,e_3) cycle(e_2,e_2) cycle(e_2,e_1)*.
% 6.56/6.73 4743[9:SSi:4742.0,23.0] || -> cycle(e_2,e_3) cycle(e_2,e_2) cycle(e_2,e_1)*.
% 6.56/6.73 4744[9:MRR:4743.0,4743.1,4743.2,306.0,4587.0,4619.0] || -> .
% 6.56/6.73 4745[9:Spt:4744.0,4714.1,4725.0] || product(e_2,e_1,e_3)*+ -> .
% 6.56/6.73 4746[9:Spt:4744.0,4714.0,4714.2] || greater(e_0,e_0)+ -> product(e_2,e_1,e_2)*.
% 6.56/6.73 4748[9:MRR:4716.4,4745.0] || -> product(e_1,e_4,e_4) product(e_1,e_4,e_3) product(e_4,e_2,e_4) product(e_4,e_2,e_3) product(e_1,e_4,e_1)* product(e_2,e_1,e_2).
% 6.56/6.73 4758[10:Spt:4625.1] || -> cycle(e_1,e_3)*.
% 6.56/6.73 4767[10:Res:4758.0,4622.0] || greater(e_3,e_0) -> equalish(e_3,e_1)*.
% 6.56/6.73 4768[10:MRR:4767.0,4767.1,7.0,32.0] || -> .
% 6.56/6.73 4769[10:Spt:4768.0,4625.1,4758.0] || cycle(e_1,e_3)*+ -> .
% 6.56/6.73 4770[10:Spt:4768.0,4625.0,4625.2,4625.3,4625.4] || greater(e_0,e_0)+ -> cycle(e_1,e_2) cycle(e_1,e_1) equalish(e_0,e_1)*.
% 6.56/6.73 4773[11:Spt:4770.1] || -> cycle(e_1,e_2)*.
% 6.56/6.73 4780[11:Res:4773.0,4622.0] || greater(e_2,e_0) -> equalish(e_2,e_1)*.
% 6.56/6.73 4781[11:MRR:4780.0,4780.1,6.0,29.0] || -> .
% 6.56/6.73 4782[11:Spt:4781.0,4770.1,4773.0] || cycle(e_1,e_2)*+ -> .
% 6.56/6.73 4783[11:Spt:4781.0,4770.0,4770.2,4770.3] || greater(e_0,e_0)+ -> cycle(e_1,e_1) equalish(e_0,e_1)*.
% 6.56/6.73 4786[12:Spt:4783.1] || -> cycle(e_1,e_1)*.
% 6.56/6.73 4796[13:Spt:4668.0,4668.3] || product(e_1,e_4,u)*+ -> equalish(u,e_2).
% 6.56/6.73 4805[13:Res:4641.2,4796.0] || -> product(e_1,e_4,e_4) product(e_1,e_4,e_3)* equalish(e_2,e_2).
% 6.56/6.73 4809[14:Spt:4805.0] || -> product(e_1,e_4,e_4)*.
% 6.56/6.73 4819[14:Res:4809.0,4796.0] || -> equalish(e_4,e_2)*.
% 6.56/6.73 4820[14:MRR:4819.0,36.0] || -> .
% 6.56/6.73 4827[14:Spt:4820.0,4805.0,4809.0] || product(e_1,e_4,e_4)*+ -> .
% 6.56/6.73 4828[14:Spt:4820.0,4805.1,4805.2] || -> product(e_1,e_4,e_3)* equalish(e_2,e_2).
% 6.56/6.73 4829[14:MRR:4641.0,4827.0] || -> product(e_1,e_4,e_3) product(e_1,e_4,e_2)*.
% 6.56/6.73 4830[14:MRR:4669.1,4827.0] || product(e_1,u,e_2)* -> product(e_1,e_4,e_3)* equalish(u,e_4).
% 6.56/6.73 4832[14:MRR:4667.1,4827.0] || product(u,e_1,e_4)* -> product(e_1,e_4,e_3)* product(e_4,u,e_2)*.
% 6.56/6.73 4833[14:MRR:4748.0,4827.0] || -> product(e_1,e_4,e_3) product(e_4,e_2,e_4) product(e_4,e_2,e_3) product(e_1,e_4,e_1)* product(e_2,e_1,e_2).
% 6.56/6.73 4834[14:MRR:4680.0,4827.0] || -> product(e_1,e_4,e_3)* 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_1,e_1).
% 6.56/6.73 4842[15:Spt:4828.0] || -> product(e_1,e_4,e_3)*.
% 6.56/6.73 4852[15:Res:4842.0,4796.0] || -> equalish(e_3,e_2)*.
% 6.56/6.73 4853[15:MRR:4852.0,33.0] || -> .
% 6.56/6.73 4857[15:Spt:4853.0,4828.0,4842.0] || product(e_1,e_4,e_3)*+ -> .
% 6.56/6.73 4858[15:Spt:4853.0,4828.1] || -> equalish(e_2,e_2)*.
% 6.56/6.73 4859[15:MRR:4829.0,4857.0] || -> product(e_1,e_4,e_2)*.
% 6.56/6.73 4860[15:MRR:4830.1,4857.0] || product(e_1,u,e_2)*+ -> equalish(u,e_4).
% 6.56/6.73 4862[15:MRR:4832.1,4857.0] || product(u,e_1,e_4)*+ -> product(e_4,u,e_2)*.
% 6.56/6.73 4863[15:MRR:4834.0,4857.0] || -> 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_1,e_1)*.
% 6.56/6.73 4864[15:MRR:4833.0,4857.0] || -> product(e_4,e_2,e_4) product(e_4,e_2,e_3) product(e_1,e_4,e_1)* product(e_2,e_1,e_2).
% 6.56/6.73 4918[15:Res:4626.0,4862.0] || -> product(e_4,e_3,e_2)*.
% 6.56/6.73 4923[15:Res:4918.0,40.0] || product(e_4,u,e_2)*+ -> equalish(u,e_3).
% 6.56/6.73 5004[16:Spt:4864.3] || -> product(e_2,e_1,e_2)*.
% 6.56/6.73 5008[16:Res:5004.0,42.0] || product(u,e_2,e_1)*+ -> product(e_1,u,e_2)*.
% 6.56/6.73 5009[16:Res:5004.0,39.0] || product(e_2,e_1,u)*+ -> equalish(u,e_2).
% 6.56/6.73 5016[16:Res:5004.0,55.2] group_element(e_2) group_element(e_1) || -> product(e_1,e_2,e_4) product(e_1,e_2,e_3) product(e_1,e_2,e_2)* product(e_2,e_2,e_1).
% 6.56/6.73 5024[16:SSi:5016.1,5016.0,22.0,23.0] || -> product(e_1,e_2,e_4) product(e_1,e_2,e_3) product(e_1,e_2,e_2)* product(e_2,e_2,e_1).
% 6.56/6.73 5025[16:MRR:5024.3,5008.0] || -> product(e_1,e_2,e_4) product(e_1,e_2,e_3) product(e_1,e_2,e_2)*.
% 6.56/6.73 5038[16:Res:4863.3,5009.0] || -> product(e_4,e_2,e_4) product(e_4,e_2,e_3) product(e_4,e_2,e_2)* equalish(e_1,e_2).
% 6.56/6.73 5040[16:MRR:5038.3,26.0] || -> product(e_4,e_2,e_4) product(e_4,e_2,e_3) product(e_4,e_2,e_2)*.
% 6.56/6.73 5089[16:Res:5025.2,4860.0] || -> product(e_1,e_2,e_4) product(e_1,e_2,e_3)* equalish(e_2,e_4).
% 6.56/6.73 5091[16:MRR:5089.2,31.0] || -> product(e_1,e_2,e_4) product(e_1,e_2,e_3)*.
% 6.56/6.73 5100[16:Res:5091.1,39.0] || product(e_1,e_2,u)*+ -> product(e_1,e_2,e_4)* equalish(u,e_3).
% 6.56/6.73 5102[16:Res:5091.1,41.0] || product(u,e_2,e_3)*+ -> product(e_1,e_2,e_4)* equalish(u,e_1).
% 6.56/6.73 5122[16:Res:5040.2,4923.0] || -> product(e_4,e_2,e_4) product(e_4,e_2,e_3)* equalish(e_2,e_3).
% 6.56/6.73 5127[16:MRR:5122.2,30.0] || -> product(e_4,e_2,e_4) product(e_4,e_2,e_3)*.
% 6.56/6.73 5145[17:Spt:5100.0,5100.2] || product(e_1,e_2,u)*+ -> equalish(u,e_3).
% 6.56/6.73 5159[18:Spt:5102.0,5102.2] || product(u,e_2,e_3)*+ -> equalish(u,e_1).
% 6.56/6.73 5161[18:Res:5127.1,5159.0] || -> product(e_4,e_2,e_4)* equalish(e_4,e_1).
% 6.56/6.73 5162[18:MRR:5161.1,35.0] || -> product(e_4,e_2,e_4)*.
% 6.56/6.73 5166[18:Res:5162.0,42.0] || product(u,e_4,e_2)*+ -> product(e_2,u,e_4)*.
% 6.56/6.73 5196[18:Res:4859.0,5166.0] || -> product(e_2,e_1,e_4)*.
% 6.56/6.73 5197[18:MRR:5196.0,4713.0] || -> .
% 6.56/6.73 5204[18:Spt:5197.0,5102.1] || -> product(e_1,e_2,e_4)*.
% 6.56/6.73 5214[18:Res:5204.0,5145.0] || -> equalish(e_4,e_3)*.
% 6.56/6.73 5215[18:MRR:5214.0,37.0] || -> .
% 6.56/6.73 5223[17:Spt:5215.0,5100.1] || -> product(e_1,e_2,e_4)*.
% 6.56/6.73 5225[17:Res:5223.0,42.0] || product(u,e_1,e_2)*+ -> product(e_2,u,e_4)*.
% 6.56/6.73 5228[17:Res:5223.0,41.0] || product(u,e_2,e_4)*+ -> equalish(u,e_1).
% 6.56/6.73 5548[17:Res:5004.0,5225.0] || -> product(e_2,e_2,e_4)*.
% 6.56/6.73 5559[17:Res:5548.0,5228.0] || -> equalish(e_2,e_1)*.
% 6.56/6.73 5564[17:MRR:5559.0,29.0] || -> .
% 6.56/6.73 5569[16:Spt:5564.0,4864.3,5004.0] || product(e_2,e_1,e_2)*+ -> .
% 6.56/6.73 5570[16:Spt:5564.0,4864.0,4864.1,4864.2] || -> product(e_4,e_2,e_4) product(e_4,e_2,e_3) product(e_1,e_4,e_1)*.
% 6.56/6.73 5582[17:Spt:5570.0] || -> product(e_4,e_2,e_4)*.
% 6.56/6.73 5584[17:Res:5582.0,42.0] || product(u,e_4,e_2)*+ -> product(e_2,u,e_4)*.
% 6.56/6.73 5601[16:Res:239.8,5569.0] group_element(u) group_element(e_1) group_element(e_2) || -> product(u,e_1,e_4) product(u,e_1,e_3) product(u,e_1,e_2)* product(e_2,e_1,e_4) product(e_2,e_1,e_3)* equalish(u,e_2).
% 6.56/6.73 5602[16:SSi:5601.2,5601.1,23.0,22.0] group_element(u) || -> product(u,e_1,e_4) product(u,e_1,e_3) product(u,e_1,e_2)* product(e_2,e_1,e_4) product(e_2,e_1,e_3)* equalish(u,e_2).
% 6.56/6.73 5603[16:MRR:5602.4,5602.5,4713.0,4745.0] group_element(u) || -> product(u,e_1,e_4) product(u,e_1,e_3) product(u,e_1,e_2)* equalish(u,e_2).
% 6.56/6.73 5629[17:Res:4859.0,5584.0] || -> product(e_2,e_1,e_4)*.
% 6.56/6.73 5630[17:MRR:5629.0,4713.0] || -> .
% 6.56/6.73 5637[17:Spt:5630.0,5570.0,5582.0] || product(e_4,e_2,e_4)*+ -> .
% 6.56/6.73 5638[17:Spt:5630.0,5570.1,5570.2] || -> product(e_4,e_2,e_3) product(e_1,e_4,e_1)*.
% 6.56/6.73 5649[18:Spt:5638.0] || -> product(e_4,e_2,e_3)*.
% 6.56/6.73 5653[18:Res:5649.0,40.0] || product(e_4,u,e_3)*+ -> equalish(u,e_2).
% 6.56/6.73 5788[16:Res:5603.3,4923.0] group_element(e_4) || -> product(e_4,e_1,e_4) product(e_4,e_1,e_3)* equalish(e_4,e_2) equalish(e_1,e_3).
% 6.56/6.73 5804[16:SSi:5788.0,25.0] || -> product(e_4,e_1,e_4) product(e_4,e_1,e_3)* equalish(e_4,e_2) equalish(e_1,e_3).
% 6.56/6.73 5805[16:MRR:5804.2,5804.3,36.0,27.0] || -> product(e_4,e_1,e_4) product(e_4,e_1,e_3)*.
% 6.56/6.73 5832[18:Res:5805.1,5653.0] || -> product(e_4,e_1,e_4)* equalish(e_1,e_2).
% 6.56/6.73 5833[18:MRR:5832.1,26.0] || -> product(e_4,e_1,e_4)*.
% 6.56/6.73 5846[18:Res:5833.0,4632.0] || -> equalish(e_4,e_3)*.
% 6.56/6.73 5853[18:MRR:5846.0,37.0] || -> .
% 6.56/6.73 5856[18:Spt:5853.0,5638.0,5649.0] || product(e_4,e_2,e_3)* -> .
% 6.56/6.73 5857[18:Spt:5853.0,5638.1] || -> product(e_1,e_4,e_1)*.
% 6.56/6.73 5887[18:Res:5857.0,4796.0] || -> equalish(e_1,e_2)*.
% 6.56/6.73 5888[18:MRR:5887.0,26.0] || -> .
% 6.56/6.73 5894[13:Spt:5888.0,4668.1,4668.2] || -> product(e_1,e_4,e_4) product(e_1,e_4,e_3)*.
% 6.56/6.73 5896[13:Res:5894.1,42.0] || product(u,e_1,e_4)*+ -> product(e_1,e_4,e_4)* product(e_4,u,e_3)*.
% 6.56/6.73 5897[13:Res:5894.1,39.0] || product(e_1,e_4,u)*+ -> product(e_1,e_4,e_4)* equalish(u,e_3).
% 6.56/6.73 5914[14:Spt:5897.0,5897.2] || product(e_1,e_4,u)*+ -> equalish(u,e_3).
% 6.56/6.73 5930[15:Spt:5896.0,5896.2] || product(u,e_1,e_4)*+ -> product(e_4,u,e_3)*.
% 6.56/6.73 5932[15:Res:4626.0,5930.0] || -> product(e_4,e_3,e_3)*.
% 6.56/6.73 5935[15:Res:5932.0,42.0] || product(u,e_4,e_3)*+ -> product(e_3,u,e_3)*.
% 6.56/6.73 6063[15:Res:5894.1,5935.0] || -> product(e_1,e_4,e_4)* product(e_3,e_1,e_3).
% 6.56/6.73 6074[15:Res:6063.0,5914.0] || -> product(e_3,e_1,e_3)* equalish(e_4,e_3).
% 6.56/6.73 6075[15:MRR:6074.1,37.0] || -> product(e_3,e_1,e_3)*.
% 6.56/6.73 6091[15:Res:6075.0,4630.0] || -> equalish(e_3,e_4)*.
% 6.56/6.73 6092[15:MRR:6091.0,34.0] || -> .
% 6.56/6.73 6096[15:Spt:6092.0,5896.1] || -> product(e_1,e_4,e_4)*.
% 6.56/6.73 6107[15:Res:6096.0,5914.0] || -> equalish(e_4,e_3)*.
% 6.56/6.73 6108[15:MRR:6107.0,37.0] || -> .
% 6.56/6.73 6115[14:Spt:6108.0,5897.1] || -> product(e_1,e_4,e_4)*.
% 6.56/6.73 6119[14:Res:6115.0,40.0] || product(e_1,u,e_4)*+ -> equalish(u,e_4).
% 6.56/6.73 6136[15:Spt:290.4] || -> product(e_1,e_1,e_2)*.
% 6.56/6.73 6140[15:Res:6136.0,42.0] || product(u,e_1,e_1)*+ -> product(e_1,u,e_2)*.
% 6.56/6.73 6142[15:Res:6136.0,40.0] || product(e_1,u,e_2)*+ -> equalish(u,e_1).
% 6.56/6.73 6149[15:Res:6136.0,55.2] group_element(e_2) group_element(e_1) || -> product(e_1,e_2,e_4) product(e_1,e_2,e_3) product(e_1,e_2,e_2)* product(e_2,e_1,e_1).
% 6.56/6.73 6162[15:SSi:6149.1,6149.0,22.0,23.0] || -> product(e_1,e_2,e_4) product(e_1,e_2,e_3) product(e_1,e_2,e_2)* product(e_2,e_1,e_1).
% 6.56/6.73 6163[15:MRR:6162.3,6140.0] || -> product(e_1,e_2,e_4) product(e_1,e_2,e_3) product(e_1,e_2,e_2)*.
% 6.56/6.73 6347[15:Res:6163.2,6142.0] || -> product(e_1,e_2,e_4) product(e_1,e_2,e_3)* equalish(e_2,e_1).
% 6.56/6.73 6350[15:MRR:6347.2,29.0] || -> product(e_1,e_2,e_4) product(e_1,e_2,e_3)*.
% 6.56/6.73 6384[15:Res:6350.1,42.0] || product(u,e_1,e_2)*+ -> product(e_1,e_2,e_4)* product(e_2,u,e_3)*.
% 6.56/6.73 6385[15:Res:6350.1,39.0] || product(e_1,e_2,u)*+ -> product(e_1,e_2,e_4)* equalish(u,e_3).
% 6.56/6.73 6404[16:Spt:6385.0,6385.2] || product(e_1,e_2,u)*+ -> equalish(u,e_3).
% 6.56/6.73 6438[17:Spt:6384.0,6384.2] || product(u,e_1,e_2)*+ -> product(e_2,u,e_3)*.
% 6.56/6.73 6448[17:Res:6136.0,6438.0] || -> product(e_2,e_1,e_3)*.
% 6.56/6.73 6449[17:MRR:6448.0,4745.0] || -> .
% 6.56/6.73 6455[17:Spt:6449.0,6384.1] || -> product(e_1,e_2,e_4)*.
% 6.56/6.73 6469[17:Res:6455.0,6404.0] || -> equalish(e_4,e_3)*.
% 6.56/6.73 6471[17:MRR:6469.0,37.0] || -> .
% 6.56/6.73 6477[16:Spt:6471.0,6385.1] || -> product(e_1,e_2,e_4)*.
% 6.56/6.73 6490[16:Res:6477.0,6119.0] || -> equalish(e_2,e_4)*.
% 6.56/6.73 6491[16:MRR:6490.0,31.0] || -> .
% 6.56/6.73 6506[15:Spt:6491.0,290.4,6136.0] || product(e_1,e_1,e_2)*+ -> .
% 6.56/6.73 6507[15:Spt:6491.0,290.0,290.1,290.2,290.3] || cycle(e_1,u)+ greater(u,e_0)* -> product(e_1,e_1,e_4) product(e_1,e_1,e_3)*.
% 6.56/6.73 6515[16:Spt:6507.3] || -> product(e_1,e_1,e_3)*.
% 6.56/6.73 6523[16:Res:6515.0,21.3] || next(e_1,u)+ cycle(e_1,v) greater(v,e_0)* -> equalish(e_3,u)*.
% 6.56/6.73 6669[16:Res:2.0,6523.0] || cycle(e_1,u) greater(u,e_0)* -> equalish(e_3,e_2)*.
% 6.56/6.73 6670[16:MRR:6669.2,33.0] || cycle(e_1,u)+ greater(u,e_0)* -> .
% 6.56/6.73 6672[16:Res:4786.0,6670.0] || greater(e_1,e_0)* -> .
% 6.56/6.73 6673[16:MRR:6672.0,5.0] || -> .
% 6.56/6.73 6674[16:Spt:6673.0,6507.3,6515.0] || product(e_1,e_1,e_3)* -> .
% 6.56/6.73 6675[16:Spt:6673.0,6507.0,6507.1,6507.2] || cycle(e_1,u)+ greater(u,e_0)* -> product(e_1,e_1,e_4)*.
% 6.56/6.73 6693[16:Res:4786.0,6675.0] || greater(e_1,e_0) -> product(e_1,e_1,e_4)*.
% 6.56/6.73 6694[16:MRR:6693.0,5.0] || -> product(e_1,e_1,e_4)*.
% 6.56/6.73 6714[16:Res:6694.0,6119.0] || -> equalish(e_1,e_4)*.
% 6.56/6.73 6716[16:MRR:6714.0,28.0] || -> .
% 6.56/6.73 6728[12:Spt:6716.0,4783.1,4786.0] || cycle(e_1,e_1)*+ -> .
% 6.56/6.73 6729[12:Spt:6716.0,4783.0,4783.2] || greater(e_0,e_0)+ -> equalish(e_0,e_1)*.
% 6.56/6.73 6733[13:Spt:290.4] || -> product(e_1,e_1,e_2)*.
% 6.56/6.73 6734[13:Res:6733.0,20.2] || greater(e_2,e_1)* cycle(e_1,e_0) -> .
% 6.56/6.73 6763[13:MRR:6734.0,9.0] || cycle(e_1,e_0)*+ -> .
% 6.56/6.73 6794[13:Res:16.4,6763.0] group_element(e_1) || -> cycle(e_1,e_3) cycle(e_1,e_2) cycle(e_1,e_1)*.
% 6.56/6.73 6795[13:SSi:6794.0,22.0] || -> cycle(e_1,e_3) cycle(e_1,e_2) cycle(e_1,e_1)*.
% 6.56/6.73 6796[13:MRR:6795.0,6795.1,6795.2,4769.0,4782.0,6728.0] || -> .
% 6.56/6.73 6797[13:Spt:6796.0,290.4,6733.0] || product(e_1,e_1,e_2)*+ -> .
% 6.56/6.73 6798[13:Spt:6796.0,290.0,290.1,290.2,290.3] || cycle(e_1,u)+ greater(u,e_0)* -> product(e_1,e_1,e_4) product(e_1,e_1,e_3)*.
% 6.56/6.73 6807[14:Spt:6798.3] || -> product(e_1,e_1,e_3)*.
% 6.56/6.73 6808[14:Res:6807.0,20.2] || greater(e_3,e_1)* cycle(e_1,e_0) -> .
% 6.56/6.73 6825[14:MRR:6808.0,10.0] || cycle(e_1,e_0)*+ -> .
% 6.56/6.73 6839[14:Res:16.4,6825.0] group_element(e_1) || -> cycle(e_1,e_3) cycle(e_1,e_2) cycle(e_1,e_1)*.
% 6.56/6.73 6840[14:SSi:6839.0,22.0] || -> cycle(e_1,e_3) cycle(e_1,e_2) cycle(e_1,e_1)*.
% 6.56/6.73 6841[14:MRR:6840.0,6840.1,6840.2,4769.0,4782.0,6728.0] || -> .
% 6.56/6.73 6842[14:Spt:6841.0,6798.3,6807.0] || product(e_1,e_1,e_3)*+ -> .
% 6.56/6.73 6843[14:Spt:6841.0,6798.0,6798.1,6798.2] || cycle(e_1,u)+ greater(u,e_0)* -> product(e_1,e_1,e_4)*.
% 6.56/6.73 6858[13:Res:239.5,6797.0] group_element(e_1) group_element(e_1) group_element(u) || -> product(e_1,e_1,e_4) product(e_1,e_1,e_3)* product(u,e_1,e_4) product(u,e_1,e_3) product(u,e_1,e_2)* equalish(e_1,u).
% 6.56/6.73 6861[13:Res:279.5,6797.0] group_element(e_1) group_element(u) group_element(e_1) || -> product(e_1,e_1,e_4) product(e_1,e_1,e_3)* product(e_1,u,e_4) product(e_1,u,e_3) product(e_1,u,e_2)* equalish(e_1,u).
% 6.56/6.73 6875[13:Obv:6861.0] group_element(u) group_element(e_1) || -> product(e_1,e_1,e_4) product(e_1,e_1,e_3)* product(e_1,u,e_4) product(e_1,u,e_3) product(e_1,u,e_2)* equalish(e_1,u).
% 6.56/6.73 6876[13:SSi:6875.1,22.0] group_element(u) || -> product(e_1,e_1,e_4) product(e_1,e_1,e_3)* product(e_1,u,e_4) product(e_1,u,e_3) product(e_1,u,e_2)* equalish(e_1,u).
% 6.56/6.73 6877[14:MRR:6876.2,6842.0] group_element(u) || -> product(e_1,e_1,e_4)* product(e_1,u,e_4) product(e_1,u,e_3) product(e_1,u,e_2)* equalish(e_1,u).
% 6.56/6.73 6878[13:Obv:6858.0] group_element(e_1) group_element(u) || -> product(e_1,e_1,e_4) product(e_1,e_1,e_3)* product(u,e_1,e_4) product(u,e_1,e_3) product(u,e_1,e_2)* equalish(e_1,u).
% 6.56/6.73 6879[13:SSi:6878.0,22.0] group_element(u) || -> product(e_1,e_1,e_4) product(e_1,e_1,e_3)* product(u,e_1,e_4) product(u,e_1,e_3) product(u,e_1,e_2)* equalish(e_1,u).
% 6.56/6.73 6880[14:MRR:6879.2,6842.0] group_element(u) || -> product(e_1,e_1,e_4)* product(u,e_1,e_4) product(u,e_1,e_3) product(u,e_1,e_2)* equalish(e_1,u).
% 6.56/6.73 6883[15:Spt:4641.0] || -> product(e_1,e_4,e_4)*.
% 6.56/6.73 6885[15:Res:6883.0,42.0] || product(u,e_1,e_4)*+ -> product(e_4,u,e_4)*.
% 6.56/6.73 6886[15:Res:6883.0,39.0] || product(e_1,e_4,u)*+ -> equalish(u,e_4).
% 6.56/6.73 6887[15:Res:6883.0,40.0] || product(e_1,u,e_4)*+ -> equalish(u,e_4).
% 6.56/6.73 6893[15:Res:6883.0,55.2] group_element(e_4) group_element(e_4) || -> product(e_4,e_4,e_4) product(e_4,e_4,e_3) product(e_4,e_4,e_2) product(e_4,e_1,e_1)*.
% 6.56/6.73 6898[15:Obv:6893.0] group_element(e_4) || -> product(e_4,e_4,e_4) product(e_4,e_4,e_3) product(e_4,e_4,e_2) product(e_4,e_1,e_1)*.
% 6.56/6.73 6899[15:SSi:6898.0,25.0] || -> product(e_4,e_4,e_4) product(e_4,e_4,e_3) product(e_4,e_4,e_2) product(e_4,e_1,e_1)*.
% 6.56/6.73 6974[15:Res:4626.0,6885.0] || -> product(e_4,e_3,e_4)*.
% 6.56/6.73 6976[15:Res:6974.0,42.0] || product(u,e_4,e_3)*+ -> product(e_3,u,e_4)*.
% 6.56/6.73 6978[15:Res:6974.0,40.0] || product(e_4,u,e_4)*+ -> equalish(u,e_3).
% 6.56/6.73 7056[15:Res:6899.3,20.2] || greater(e_1,e_4) cycle(e_4,e_0) -> product(e_4,e_4,e_4) product(e_4,e_4,e_3) product(e_4,e_4,e_2)*.
% 6.56/6.73 7070[15:Res:6899.3,55.2] group_element(e_1) group_element(e_1) || -> product(e_4,e_4,e_4) product(e_4,e_4,e_3) product(e_4,e_4,e_2) product(e_1,e_1,e_4) product(e_1,e_1,e_3) product(e_1,e_1,e_2)* product(e_1,e_4,e_1).
% 6.56/6.73 7076[15:MRR:7056.1,17.0] || greater(e_1,e_4)+ -> product(e_4,e_4,e_4) product(e_4,e_4,e_3) product(e_4,e_4,e_2)*.
% 6.56/6.73 7079[15:Obv:7070.0] group_element(e_1) || -> product(e_4,e_4,e_4) product(e_4,e_4,e_3) product(e_4,e_4,e_2) product(e_1,e_1,e_4) product(e_1,e_1,e_3) product(e_1,e_1,e_2)* product(e_1,e_4,e_1).
% 6.56/6.73 7080[15:SSi:7079.0,22.0] || -> product(e_4,e_4,e_4) product(e_4,e_4,e_3) product(e_4,e_4,e_2) product(e_1,e_1,e_4) product(e_1,e_1,e_3) product(e_1,e_1,e_2)* product(e_1,e_4,e_1).
% 6.56/6.73 7081[15:MRR:7080.4,7080.5,6842.0,6797.0] || -> product(e_4,e_4,e_4) product(e_4,e_4,e_3) product(e_4,e_4,e_2) product(e_1,e_1,e_4)* product(e_1,e_4,e_1).
% 6.56/6.73 7191[16:Spt:7076.1] || -> product(e_4,e_4,e_4)*.
% 6.56/6.73 7202[16:Res:7191.0,6978.0] || -> equalish(e_4,e_3)*.
% 6.56/6.73 7207[16:MRR:7202.0,37.0] || -> .
% 6.56/6.73 7216[16:Spt:7207.0,7076.1,7191.0] || product(e_4,e_4,e_4)*+ -> .
% 6.56/6.73 7217[16:Spt:7207.0,7076.0,7076.2,7076.3] || greater(e_1,e_4)+ -> product(e_4,e_4,e_3) product(e_4,e_4,e_2)*.
% 6.56/6.73 7218[16:MRR:6899.0,7216.0] || -> product(e_4,e_4,e_3) product(e_4,e_4,e_2) product(e_4,e_1,e_1)*.
% 6.56/6.73 7219[16:MRR:7081.0,7216.0] || -> product(e_4,e_4,e_3) product(e_4,e_4,e_2) product(e_1,e_1,e_4)* product(e_1,e_4,e_1).
% 6.56/6.73 7232[17:Spt:7217.1] || -> product(e_4,e_4,e_3)*.
% 6.56/6.73 7239[17:Res:7232.0,6976.0] || -> product(e_3,e_4,e_4)*.
% 6.56/6.73 7262[17:Res:7239.0,4631.0] || -> equalish(e_4,e_1)*.
% 6.56/6.73 7267[17:MRR:7262.0,35.0] || -> .
% 6.56/6.73 7270[17:Spt:7267.0,7217.1,7232.0] || product(e_4,e_4,e_3)*+ -> .
% 6.56/6.73 7271[17:Spt:7267.0,7217.0,7217.2] || greater(e_1,e_4)+ -> product(e_4,e_4,e_2)*.
% 6.56/6.73 7272[17:MRR:7218.0,7270.0] || -> product(e_4,e_4,e_2) product(e_4,e_1,e_1)*.
% 6.56/6.73 7273[17:MRR:7219.0,7270.0] || -> product(e_4,e_4,e_2) product(e_1,e_1,e_4)* product(e_1,e_4,e_1).
% 6.56/6.73 7287[18:Spt:7272.0] || -> product(e_4,e_4,e_2)*.
% 6.56/6.73 7290[18:Res:7287.0,42.0] || product(u,e_4,e_4)*+ -> product(e_4,u,e_2)*.
% 6.56/6.73 7292[18:Res:7287.0,40.0] || product(e_4,u,e_2)*+ -> equalish(u,e_4).
% 6.56/6.73 7478[18:Res:6883.0,7290.0] || -> product(e_4,e_1,e_2)*.
% 6.56/6.73 7601[18:Res:7478.0,7292.0] || -> equalish(e_1,e_4)*.
% 6.56/6.73 7602[18:MRR:7601.0,28.0] || -> .
% 6.56/6.73 7618[18:Spt:7602.0,7272.0,7287.0] || product(e_4,e_4,e_2)*+ -> .
% 6.56/6.73 7619[18:Spt:7602.0,7272.1] || -> product(e_4,e_1,e_1)*.
% 6.56/6.73 7621[18:MRR:7273.0,7618.0] || -> product(e_1,e_1,e_4)* product(e_1,e_4,e_1).
% 6.56/6.73 7678[19:Spt:7621.0] || -> product(e_1,e_1,e_4)*.
% 6.56/6.73 7698[19:Res:7678.0,6887.0] || -> equalish(e_1,e_4)*.
% 6.56/6.73 7700[19:MRR:7698.0,28.0] || -> .
% 6.56/6.73 7746[19:Spt:7700.0,7621.0,7678.0] || product(e_1,e_1,e_4)* -> .
% 6.56/6.73 7747[19:Spt:7700.0,7621.1] || -> product(e_1,e_4,e_1)*.
% 6.56/6.73 7779[19:Res:7747.0,6886.0] || -> equalish(e_1,e_4)*.
% 6.56/6.73 7780[19:MRR:7779.0,28.0] || -> .
% 6.56/6.73 7786[15:Spt:7780.0,4641.0,6883.0] || product(e_1,e_4,e_4)*+ -> .
% 6.56/6.73 7787[15:Spt:7780.0,4641.1,4641.2] || -> product(e_1,e_4,e_3) product(e_1,e_4,e_2)*.
% 6.56/6.73 7791[15:MRR:4667.1,7786.0] || product(u,e_1,e_4)* -> product(e_1,e_4,e_3)* product(e_4,u,e_2)*.
% 6.56/6.73 7800[16:Spt:7787.0] || -> product(e_1,e_4,e_3)*.
% 6.56/6.73 7802[16:Res:7800.0,42.0] || product(u,e_1,e_4)*+ -> product(e_4,u,e_3)*.
% 6.56/6.73 7832[16:Res:4626.0,7802.0] || -> product(e_4,e_3,e_3)*.
% 6.56/6.73 7834[16:Res:7832.0,42.0] || product(u,e_4,e_3)*+ -> product(e_3,u,e_3)*.
% 6.56/6.73 7915[16:Res:7800.0,7834.0] || -> product(e_3,e_1,e_3)*.
% 6.56/6.73 7989[16:Res:7915.0,4630.0] || -> equalish(e_3,e_4)*.
% 6.56/6.73 7990[16:MRR:7989.0,34.0] || -> .
% 6.56/6.73 7994[16:Spt:7990.0,7787.0,7800.0] || product(e_1,e_4,e_3)*+ -> .
% 6.56/6.73 7995[16:Spt:7990.0,7787.1] || -> product(e_1,e_4,e_2)*.
% 6.56/6.73 7999[16:MRR:7791.1,7994.0] || product(u,e_1,e_4)*+ -> product(e_4,u,e_2)*.
% 6.56/6.73 8068[17:Spt:6877.0,6877.2,6877.3,6877.4,6877.5] group_element(u) || -> product(e_1,u,e_4) product(e_1,u,e_3) product(e_1,u,e_2)* equalish(e_1,u).
% 6.56/6.73 8135[16:Res:4626.0,7999.0] || -> product(e_4,e_3,e_2)*.
% 6.56/6.73 8138[16:Res:8135.0,42.0] || product(u,e_4,e_3)*+ -> product(e_3,u,e_2)*.
% 6.56/6.73 8140[16:Res:8135.0,40.0] || product(e_4,u,e_2)*+ -> equalish(u,e_3).
% 6.56/6.73 8141[16:Res:8135.0,41.0] || product(u,e_3,e_2)*+ -> equalish(u,e_4).
% 6.56/6.73 8173[18:Spt:6880.0,6880.2,6880.3,6880.4,6880.5] group_element(u) || -> product(u,e_1,e_4) product(u,e_1,e_3) product(u,e_1,e_2)* equalish(e_1,u).
% 6.56/6.73 8239[18:Res:8173.3,8140.0] group_element(e_4) || -> product(e_4,e_1,e_4) product(e_4,e_1,e_3)* equalish(e_1,e_4) equalish(e_1,e_3).
% 6.56/6.73 8248[18:SSi:8239.0,25.0] || -> product(e_4,e_1,e_4) product(e_4,e_1,e_3)* equalish(e_1,e_4) equalish(e_1,e_3).
% 6.56/6.73 8249[18:MRR:8248.2,8248.3,28.0,27.0] || -> product(e_4,e_1,e_4) product(e_4,e_1,e_3)*.
% 6.56/6.73 8260[18:Res:8249.1,39.0] || product(e_4,e_1,u)*+ -> product(e_4,e_1,e_4)* equalish(u,e_3).
% 6.56/6.73 8350[17:Res:8068.3,8141.0] group_element(e_3) || -> product(e_1,e_3,e_4) product(e_1,e_3,e_3)* equalish(e_1,e_3) equalish(e_1,e_4).
% 6.56/6.73 8352[17:SSi:8350.0,24.0] || -> product(e_1,e_3,e_4) product(e_1,e_3,e_3)* equalish(e_1,e_3) equalish(e_1,e_4).
% 6.56/6.73 8353[17:MRR:8352.2,8352.3,27.0,28.0] || -> product(e_1,e_3,e_4) product(e_1,e_3,e_3)*.
% 6.56/6.73 8360[17:Res:8353.1,42.0] || product(u,e_1,e_3)*+ -> product(e_1,e_3,e_4)* product(e_3,u,e_3)*.
% 6.56/6.73 8361[17:Res:8353.1,39.0] || product(e_1,e_3,u)*+ -> product(e_1,e_3,e_4)* equalish(u,e_3).
% 6.56/6.73 8444[19:Spt:8260.0,8260.2] || product(e_4,e_1,u)*+ -> equalish(u,e_3).
% 6.56/6.73 8460[20:Spt:8361.0,8361.2] || product(e_1,e_3,u)*+ -> equalish(u,e_3).
% 6.56/6.73 8578[21:Spt:8360.0,8360.2] || product(u,e_1,e_3)*+ -> product(e_3,u,e_3)*.
% 6.56/6.73 8580[21:Res:8249.1,8578.0] || -> product(e_4,e_1,e_4) product(e_3,e_4,e_3)*.
% 6.56/6.73 8581[22:Spt:8580.0] || -> product(e_4,e_1,e_4)*.
% 6.56/6.73 8600[22:Res:8581.0,8444.0] || -> equalish(e_4,e_3)*.
% 6.56/6.73 8602[22:MRR:8600.0,37.0] || -> .
% 6.56/6.73 8605[22:Spt:8602.0,8580.0,8581.0] || product(e_4,e_1,e_4)* -> .
% 6.56/6.73 8606[22:Spt:8602.0,8580.1] || -> product(e_3,e_4,e_3)*.
% 6.56/6.73 8616[22:Res:8606.0,8138.0] || -> product(e_3,e_3,e_2)*.
% 6.56/6.73 8666[22:Res:8616.0,8141.0] || -> equalish(e_3,e_4)*.
% 6.56/6.73 8667[22:MRR:8666.0,34.0] || -> .
% 6.56/6.73 8687[21:Spt:8667.0,8360.1] || -> product(e_1,e_3,e_4)*.
% 6.56/6.73 8701[21:Res:8687.0,8460.0] || -> equalish(e_4,e_3)*.
% 6.56/6.73 8702[21:MRR:8701.0,37.0] || -> .
% 6.56/6.73 8706[20:Spt:8702.0,8361.1] || -> product(e_1,e_3,e_4)*.
% 6.56/6.73 8708[20:Res:8706.0,42.0] || product(u,e_1,e_3)*+ -> product(e_3,u,e_4)*.
% 6.56/6.73 8821[21:Spt:8249.0] || -> product(e_4,e_1,e_4)*.
% 6.56/6.73 8840[21:Res:8821.0,8444.0] || -> equalish(e_4,e_3)*.
% 6.56/6.73 8842[21:MRR:8840.0,37.0] || -> .
% 6.56/6.73 8845[21:Spt:8842.0,8249.0,8821.0] || product(e_4,e_1,e_4)*+ -> .
% 6.56/6.73 8846[21:Spt:8842.0,8249.1] || -> product(e_4,e_1,e_3)*.
% 6.56/6.73 8933[21:Res:8846.0,8708.0] || -> product(e_3,e_4,e_4)*.
% 6.56/6.73 8943[21:Res:8933.0,4631.0] || -> equalish(e_4,e_1)*.
% 6.56/6.73 8948[21:MRR:8943.0,35.0] || -> .
% 6.56/6.73 8953[19:Spt:8948.0,8260.1] || -> product(e_4,e_1,e_4)*.
% 6.56/6.73 8965[19:Res:8953.0,4632.0] || -> equalish(e_4,e_3)*.
% 6.56/6.73 8975[19:MRR:8965.0,37.0] || -> .
% 6.56/6.73 8978[18:Spt:8975.0,6880.1] || -> product(e_1,e_1,e_4)*.
% 6.56/6.73 8988[18:Res:8978.0,4632.0] || -> equalish(e_1,e_3)*.
% 6.56/6.73 8999[18:MRR:8988.0,27.0] || -> .
% 6.56/6.73 9011[17:Spt:8999.0,6877.1] || -> product(e_1,e_1,e_4)*.
% 6.56/6.73 9021[17:Res:9011.0,4632.0] || -> equalish(e_1,e_3)*.
% 6.56/6.73 9032[17:MRR:9021.0,27.0] || -> .
% 6.56/6.73 9044[7:Spt:9032.0,398.0,4626.0] || product(e_3,e_1,e_4)*+ -> .
% 6.56/6.73 9045[7:Spt:9032.0,398.1,398.2] || -> product(e_3,e_1,e_3) product(e_3,e_1,e_2)*.
% 6.56/6.73 9052[7:MRR:461.3,9044.0] || next(e_3,u) cycle(e_3,v) greater(v,e_0)* -> product(e_3,e_1,e_3)* equalish(e_2,u)*.
% 6.56/6.73 9053[8:Spt:9045.0] || -> product(e_3,e_1,e_3)*.
% 6.56/6.73 9061[8:Res:9053.0,21.3] || next(e_3,u)+ cycle(e_3,v) greater(v,e_0)* -> equalish(e_3,u)*.
% 6.56/6.73 9142[8:Res:4.0,9061.0] || cycle(e_3,u) greater(u,e_0)* -> equalish(e_3,e_4)*.
% 6.56/6.73 9143[8:MRR:9142.2,34.0] || cycle(e_3,u)+ greater(u,e_0)* -> .
% 6.56/6.73 9145[8:Res:267.0,9143.0] || greater(e_1,e_0)* -> .
% 6.56/6.73 9146[8:MRR:9145.0,5.0] || -> .
% 6.56/6.73 9147[8:Spt:9146.0,9045.0,9053.0] || product(e_3,e_1,e_3)*+ -> .
% 6.56/6.73 9148[8:Spt:9146.0,9045.1] || -> product(e_3,e_1,e_2)*.
% 6.56/6.73 9155[8:MRR:9052.3,9147.0] || next(e_3,u)+ cycle(e_3,v) greater(v,e_0)* -> equalish(e_2,u)*.
% 6.56/6.73 9298[0:Res:3.0,105.0] || cycle(e_3,e_0)+ cycle(e_1,e_1)* cycle(e_2,e_0) -> .
% 6.56/6.73 9325[0:Res:3.0,119.0] || cycle(e_3,e_0)+ cycle(e_1,e_2)* cycle(e_2,e_0) -> .
% 6.56/6.73 9326[0:Res:16.4,9298.0] group_element(e_3) || cycle(e_1,e_1)* cycle(e_2,e_0) -> cycle(e_3,e_3) cycle(e_3,e_2) cycle(e_3,e_1).
% 6.56/6.73 9327[0:Res:16.4,9325.0] group_element(e_3) || cycle(e_1,e_2)* cycle(e_2,e_0) -> cycle(e_3,e_3) cycle(e_3,e_2) cycle(e_3,e_1).
% 6.56/6.73 9328[8:Res:4.0,9155.0] || cycle(e_3,u) greater(u,e_0)* -> equalish(e_2,e_4)*.
% 6.56/6.73 9329[8:MRR:9328.2,31.0] || cycle(e_3,u)+ greater(u,e_0)* -> .
% 6.56/6.73 9333[8:Res:267.0,9329.0] || greater(e_1,e_0)* -> .
% 6.56/6.73 9334[8:MRR:9333.0,5.0] || -> .
% 6.56/6.73 9335[3:Spt:9334.0,265.1,267.0] || cycle(e_3,e_1)*+ -> .
% 6.56/6.73 9336[3:Spt:9334.0,265.0,265.2] || greater(e_0,e_0)+ -> equalish(e_0,e_1)*.
% 6.56/6.73 9337[3:MRR:266.2,9335.0] || cycle(e_2,u)+ greater(u,e_0) -> equalish(u,e_1)*.
% 6.56/6.73 9340[0:MRR:4590.4,344.0] || cycle(e_0,e_2)*+ cycle(e_1,e_0) -> cycle(e_2,e_3) cycle(e_2,e_2).
% 6.56/6.73 9341[0:SSi:9327.0,24.0] || cycle(e_1,e_2)* cycle(e_2,e_0) -> cycle(e_3,e_3) cycle(e_3,e_2) cycle(e_3,e_1).
% 6.56/6.73 9342[2:MRR:9341.2,9341.3,253.0,264.0] || cycle(e_1,e_2)* cycle(e_2,e_0) -> cycle(e_3,e_1).
% 6.56/6.73 9343[3:MRR:9342.2,9335.0] || cycle(e_1,e_2)*+ cycle(e_2,e_0) -> .
% 6.56/6.73 9344[0:SSi:9326.0,24.0] || cycle(e_1,e_1)* cycle(e_2,e_0) -> cycle(e_3,e_3) cycle(e_3,e_2) cycle(e_3,e_1).
% 6.56/6.73 9345[2:MRR:9344.2,9344.3,253.0,264.0] || cycle(e_1,e_1)* cycle(e_2,e_0) -> cycle(e_3,e_1).
% 6.56/6.73 9346[3:MRR:9345.2,9335.0] || cycle(e_1,e_1)*+ cycle(e_2,e_0) -> .
% 6.56/6.73 9351[0:SSi:396.0,24.0] || greater(e_0,e_0) -> cycle(e_3,e_3) cycle(e_3,e_2) cycle(e_3,e_1) product(e_3,e_1,e_4) product(e_3,e_1,e_3) product(e_3,e_1,e_2)*.
% 6.56/6.73 9352[2:MRR:9351.1,9351.2,253.0,264.0] || greater(e_0,e_0) -> cycle(e_3,e_1) product(e_3,e_1,e_4) product(e_3,e_1,e_3) product(e_3,e_1,e_2)*.
% 6.56/6.73 9353[3:MRR:9352.1,9335.0] || greater(e_0,e_0)+ -> product(e_3,e_1,e_4) product(e_3,e_1,e_3) product(e_3,e_1,e_2)*.
% 6.56/6.73 9360[4:Spt:9340.2] || -> cycle(e_2,e_3)*.
% 6.56/6.73 9370[4:Res:9360.0,9337.0] || greater(e_3,e_0) -> equalish(e_3,e_1)*.
% 6.56/6.73 9371[4:MRR:9370.0,9370.1,7.0,32.0] || -> .
% 6.56/6.73 9372[4:Spt:9371.0,9340.2,9360.0] || cycle(e_2,e_3)*+ -> .
% 6.56/6.73 9373[4:Spt:9371.0,9340.0,9340.1,9340.3] || cycle(e_0,e_2)*+ cycle(e_1,e_0) -> cycle(e_2,e_2).
% 6.56/6.73 9376[4:MRR:4593.2,9372.0] || cycle(e_0,e_1)*+ cycle(e_1,e_0) -> cycle(e_2,e_2) cycle(e_2,e_1).
% 6.56/6.73 9377[4:MRR:241.2,9372.0] || cycle(e_1,u) greater(u,e_0) -> cycle(e_2,e_2) cycle(e_2,e_1) equalish(u,e_1)*.
% 6.56/6.73 9378[4:MRR:4596.1,9372.0] || greater(e_0,e_0) -> cycle(e_2,e_2) cycle(e_2,e_1) product(e_2,e_1,e_4) product(e_2,e_1,e_3) product(e_2,e_1,e_2)*.
% 6.56/6.73 9379[5:Spt:9376.2] || -> cycle(e_2,e_2)*.
% 6.56/6.73 9387[5:Res:9379.0,9337.0] || greater(e_2,e_0) -> equalish(e_2,e_1)*.
% 6.56/6.73 9388[5:MRR:9387.0,9387.1,6.0,29.0] || -> .
% 6.56/6.73 9389[5:Spt:9388.0,9376.2,9379.0] || cycle(e_2,e_2)*+ -> .
% 6.56/6.73 9390[5:Spt:9388.0,9376.0,9376.1,9376.3] || cycle(e_0,e_1)*+ cycle(e_1,e_0) -> cycle(e_2,e_1).
% 6.56/6.73 9392[5:MRR:9377.2,9389.0] || cycle(e_1,u)+ greater(u,e_0) -> cycle(e_2,e_1) equalish(u,e_1)*.
% 6.56/6.73 9393[5:MRR:9378.1,9389.0] || greater(e_0,e_0)+ -> cycle(e_2,e_1) product(e_2,e_1,e_4) product(e_2,e_1,e_3) product(e_2,e_1,e_2)*.
% 6.56/6.73 9394[6:Spt:9392.0,9392.1,9392.3] || cycle(e_1,u)+ greater(u,e_0) -> equalish(u,e_1)*.
% 6.56/6.73 9396[7:Spt:9353.1] || -> product(e_3,e_1,e_4)*.
% 6.56/6.73 9397[7:Res:9396.0,20.2] || greater(e_4,e_3)* cycle(e_3,e_0) -> .
% 6.56/6.73 9414[7:MRR:9397.0,14.0] || cycle(e_3,e_0)*+ -> .
% 6.56/6.73 9420[7:Res:16.4,9414.0] group_element(e_3) || -> cycle(e_3,e_3) cycle(e_3,e_2) cycle(e_3,e_1)*.
% 6.56/6.73 9421[7:SSi:9420.0,24.0] || -> cycle(e_3,e_3) cycle(e_3,e_2) cycle(e_3,e_1)*.
% 6.56/6.73 9422[7:MRR:9421.0,9421.1,9421.2,253.0,264.0,9335.0] || -> .
% 6.56/6.73 9423[7:Spt:9422.0,9353.1,9396.0] || product(e_3,e_1,e_4)*+ -> .
% 6.56/6.73 9424[7:Spt:9422.0,9353.0,9353.2,9353.3] || greater(e_0,e_0)+ -> product(e_3,e_1,e_3) product(e_3,e_1,e_2)*.
% 6.56/6.73 9426[8:Spt:9424.1] || -> product(e_3,e_1,e_3)*.
% 6.56/6.73 9429[8:Res:9426.0,42.0] || product(u,e_3,e_1)*+ -> product(e_1,u,e_3)*.
% 6.56/6.73 9431[8:Res:9426.0,40.0] || product(e_3,u,e_3)*+ -> equalish(u,e_1).
% 6.56/6.73 9438[8:Res:9426.0,55.2] group_element(e_3) group_element(e_1) || -> product(e_1,e_3,e_4) product(e_1,e_3,e_3) product(e_1,e_3,e_2)* product(e_3,e_3,e_1).
% 6.56/6.73 9444[8:SSi:9438.1,9438.0,22.0,24.0] || -> product(e_1,e_3,e_4) product(e_1,e_3,e_3) product(e_1,e_3,e_2)* product(e_3,e_3,e_1).
% 6.56/6.73 9445[8:MRR:9444.3,9429.0] || -> product(e_1,e_3,e_4) product(e_1,e_3,e_3) product(e_1,e_3,e_2)*.
% 6.56/6.73 9457[0:Res:3.0,147.0] || cycle(e_3,e_0)+ cycle(e_1,e_3)* cycle(e_2,e_0) -> .
% 6.56/6.73 9465[8:Res:9445.2,42.0] || product(u,e_1,e_3)* -> product(e_1,e_3,e_4) product(e_1,e_3,e_3)* product(e_3,u,e_2)*.
% 6.56/6.73 9466[8:Res:9445.2,39.0] || product(e_1,e_3,u)*+ -> product(e_1,e_3,e_4) product(e_1,e_3,e_3)* equalish(u,e_2).
% 6.56/6.73 9468[8:Res:9445.2,41.0] || product(u,e_3,e_2)* -> product(e_1,e_3,e_4) product(e_1,e_3,e_3)* equalish(u,e_1).
% 6.56/6.73 9514[0:Res:16.4,9457.0] group_element(e_3) || cycle(e_1,e_3)* cycle(e_2,e_0) -> cycle(e_3,e_3) cycle(e_3,e_2) cycle(e_3,e_1).
% 6.56/6.73 9515[0:SSi:9514.0,24.0] || cycle(e_1,e_3)* cycle(e_2,e_0) -> cycle(e_3,e_3) cycle(e_3,e_2) cycle(e_3,e_1).
% 6.56/6.73 9516[3:MRR:9515.2,9515.3,9515.4,253.0,264.0,9335.0] || cycle(e_1,e_3)*+ cycle(e_2,e_0) -> .
% 6.56/6.73 9563[0:Res:4.0,103.0] || cycle(e_4,e_0) cycle(e_1,e_1)* cycle(e_3,e_0) -> .
% 6.56/6.73 9564[0:MRR:9563.0,17.0] || cycle(e_1,e_1)*+ cycle(e_3,e_0) -> .
% 6.56/6.73 9581[0:Res:4.0,102.0] || cycle(e_4,e_0) cycle(e_2,e_1)* cycle(e_3,e_0) -> .
% 6.56/6.73 9582[0:MRR:9581.0,17.0] || cycle(e_2,e_1)*+ cycle(e_3,e_0) -> .
% 6.56/6.73 9583[9:Spt:9466.0,9466.3] || product(e_1,e_3,u)*+ -> equalish(u,e_2).
% 6.56/6.73 9592[9:Res:9445.2,9583.0] || -> product(e_1,e_3,e_4) product(e_1,e_3,e_3)* equalish(e_2,e_2).
% 6.56/6.73 9595[10:Spt:9592.0] || -> product(e_1,e_3,e_4)*.
% 6.56/6.73 9609[10:Res:9595.0,9583.0] || -> equalish(e_4,e_2)*.
% 6.56/6.73 9611[10:MRR:9609.0,36.0] || -> .
% 6.56/6.73 9618[10:Spt:9611.0,9592.0,9595.0] || product(e_1,e_3,e_4)*+ -> .
% 6.56/6.73 9619[10:Spt:9611.0,9592.1,9592.2] || -> product(e_1,e_3,e_3)* equalish(e_2,e_2).
% 6.56/6.73 9622[10:MRR:9468.1,9618.0] || product(u,e_3,e_2)* -> product(e_1,e_3,e_3)* equalish(u,e_1).
% 6.56/6.73 9623[10:MRR:9465.1,9618.0] || product(u,e_1,e_3)* -> product(e_1,e_3,e_3)* product(e_3,u,e_2)*.
% 6.56/6.73 9639[11:Spt:9619.0] || -> product(e_1,e_3,e_3)*.
% 6.56/6.73 9653[11:Res:9639.0,9583.0] || -> equalish(e_3,e_2)*.
% 6.56/6.73 9655[11:MRR:9653.0,33.0] || -> .
% 6.56/6.73 9662[11:Spt:9655.0,9619.0,9639.0] || product(e_1,e_3,e_3)*+ -> .
% 6.56/6.73 9663[11:Spt:9655.0,9619.1] || -> equalish(e_2,e_2)*.
% 6.56/6.73 9666[11:MRR:9622.1,9662.0] || product(u,e_3,e_2)*+ -> equalish(u,e_1).
% 6.56/6.73 9667[11:MRR:9623.1,9662.0] || product(u,e_1,e_3)*+ -> product(e_3,u,e_2)*.
% 6.56/6.73 9963[11:Res:9426.0,9667.0] || -> product(e_3,e_3,e_2)*.
% 6.56/6.73 9973[11:Res:9963.0,9666.0] || -> equalish(e_3,e_1)*.
% 6.56/6.73 9989[11:MRR:9973.0,32.0] || -> .
% 6.56/6.73 10007[9:Spt:9989.0,9466.1,9466.2] || -> product(e_1,e_3,e_4) product(e_1,e_3,e_3)*.
% 6.56/6.73 10009[9:Res:10007.1,42.0] || product(u,e_1,e_3)*+ -> product(e_1,e_3,e_4)* product(e_3,u,e_3)*.
% 6.56/6.73 10010[9:Res:10007.1,39.0] || product(e_1,e_3,u)*+ -> product(e_1,e_3,e_4)* equalish(u,e_3).
% 6.56/6.73 10037[10:Spt:10010.0,10010.2] || product(e_1,e_3,u)*+ -> equalish(u,e_3).
% 6.56/6.73 10053[11:Spt:10009.0,10009.2] || product(u,e_1,e_3)*+ -> product(e_3,u,e_3)*.
% 6.56/6.73 10055[11:Res:9426.0,10053.0] || -> product(e_3,e_3,e_3)*.
% 6.56/6.73 10110[11:Res:10055.0,9431.0] || -> equalish(e_3,e_1)*.
% 6.56/6.73 10116[11:MRR:10110.0,32.0] || -> .
% 6.56/6.73 10126[11:Spt:10116.0,10009.1] || -> product(e_1,e_3,e_4)*.
% 6.56/6.73 10140[11:Res:10126.0,10037.0] || -> equalish(e_4,e_3)*.
% 6.56/6.73 10142[11:MRR:10140.0,37.0] || -> .
% 6.56/6.73 10149[10:Spt:10142.0,10010.1] || -> product(e_1,e_3,e_4)*.
% 6.56/6.73 10151[10:Res:10149.0,42.0] || product(u,e_1,e_3)*+ -> product(e_3,u,e_4)*.
% 6.56/6.73 10154[10:Res:10149.0,41.0] || product(u,e_3,e_4)*+ -> equalish(u,e_1).
% 6.56/6.73 10625[10:Res:9426.0,10151.0] || -> product(e_3,e_3,e_4)*.
% 6.56/6.73 10632[10:Res:10625.0,10154.0] || -> equalish(e_3,e_1)*.
% 6.56/6.73 10640[10:MRR:10632.0,32.0] || -> .
% 6.56/6.73 10649[8:Spt:10640.0,9424.1,9426.0] || product(e_3,e_1,e_3)*+ -> .
% 6.56/6.73 10650[8:Spt:10640.0,9424.0,9424.2] || greater(e_0,e_0)+ -> product(e_3,e_1,e_2)*.
% 6.56/6.73 10657[9:Spt:9393.1] || -> cycle(e_2,e_1)*.
% 6.56/6.73 10658[9:MRR:9582.0,10657.0] || cycle(e_3,e_0)*+ -> .
% 6.56/6.73 10665[9:Res:16.4,10658.0] group_element(e_3) || -> cycle(e_3,e_3) cycle(e_3,e_2) cycle(e_3,e_1)*.
% 6.56/6.73 10666[9:SSi:10665.0,24.0] || -> cycle(e_3,e_3) cycle(e_3,e_2) cycle(e_3,e_1)*.
% 6.56/6.73 10667[9:MRR:10666.0,10666.1,10666.2,253.0,264.0,9335.0] || -> .
% 6.56/6.73 10668[9:Spt:10667.0,9393.1,10657.0] || cycle(e_2,e_1)*+ -> .
% 6.56/6.73 10669[9:Spt:10667.0,9393.0,9393.2,9393.3,9393.4] || greater(e_0,e_0)+ -> product(e_2,e_1,e_4) product(e_2,e_1,e_3) product(e_2,e_1,e_2)*.
% 6.56/6.73 10671[10:Spt:10669.1] || -> product(e_2,e_1,e_4)*.
% 6.56/6.73 10672[10:Res:10671.0,20.2] || greater(e_4,e_2)* cycle(e_2,e_0) -> .
% 6.56/6.73 10689[10:MRR:10672.0,13.0] || cycle(e_2,e_0)*+ -> .
% 6.56/6.73 10695[10:Res:16.4,10689.0] group_element(e_2) || -> cycle(e_2,e_3) cycle(e_2,e_2) cycle(e_2,e_1)*.
% 6.56/6.73 10696[10:SSi:10695.0,23.0] || -> cycle(e_2,e_3) cycle(e_2,e_2) cycle(e_2,e_1)*.
% 6.56/6.73 10697[10:MRR:10696.0,10696.1,10696.2,9372.0,9389.0,10668.0] || -> .
% 6.56/6.73 10698[10:Spt:10697.0,10669.1,10671.0] || product(e_2,e_1,e_4)*+ -> .
% 6.56/6.73 10699[10:Spt:10697.0,10669.0,10669.2,10669.3] || greater(e_0,e_0)+ -> product(e_2,e_1,e_3) product(e_2,e_1,e_2)*.
% 6.56/6.73 10709[11:Spt:10699.1] || -> product(e_2,e_1,e_3)*.
% 6.56/6.73 10710[11:Res:10709.0,20.2] || greater(e_3,e_2)* cycle(e_2,e_0) -> .
% 6.56/6.73 10727[11:MRR:10710.0,12.0] || cycle(e_2,e_0)*+ -> .
% 6.56/6.73 10734[11:Res:16.4,10727.0] group_element(e_2) || -> cycle(e_2,e_3) cycle(e_2,e_2) cycle(e_2,e_1)*.
% 6.56/6.73 10735[11:SSi:10734.0,23.0] || -> cycle(e_2,e_3) cycle(e_2,e_2) cycle(e_2,e_1)*.
% 6.56/6.73 10736[11:MRR:10735.0,10735.1,10735.2,9372.0,9389.0,10668.0] || -> .
% 6.56/6.73 10737[11:Spt:10736.0,10699.1,10709.0] || product(e_2,e_1,e_3)*+ -> .
% 6.56/6.73 10738[11:Spt:10736.0,10699.0,10699.2] || greater(e_0,e_0)+ -> product(e_2,e_1,e_2)*.
% 6.56/6.73 10750[12:Spt:290.4] || -> product(e_1,e_1,e_2)*.
% 6.56/6.73 10751[12:Res:10750.0,20.2] || greater(e_2,e_1)* cycle(e_1,e_0) -> .
% 6.56/6.73 10781[12:MRR:10751.0,9.0] || cycle(e_1,e_0)*+ -> .
% 6.56/6.73 10832[12:Res:16.4,10781.0] group_element(e_1) || -> cycle(e_1,e_3) cycle(e_1,e_2) cycle(e_1,e_1)*.
% 6.56/6.73 10833[12:SSi:10832.0,22.0] || -> cycle(e_1,e_3) cycle(e_1,e_2) cycle(e_1,e_1)*.
% 6.56/6.73 10865[13:Spt:10833.0] || -> cycle(e_1,e_3)*.
% 6.56/6.73 10874[13:Res:10865.0,9394.0] || greater(e_3,e_0) -> equalish(e_3,e_1)*.
% 6.56/6.73 10875[13:MRR:10874.0,10874.1,7.0,32.0] || -> .
% 6.56/6.73 10876[13:Spt:10875.0,10833.0,10865.0] || cycle(e_1,e_3)*+ -> .
% 6.56/6.73 10877[13:Spt:10875.0,10833.1,10833.2] || -> cycle(e_1,e_2) cycle(e_1,e_1)*.
% 6.56/6.73 10878[14:Spt:10877.0] || -> cycle(e_1,e_2)*.
% 6.56/6.73 10886[14:Res:10878.0,9394.0] || greater(e_2,e_0) -> equalish(e_2,e_1)*.
% 6.56/6.73 10887[14:MRR:10886.0,10886.1,6.0,29.0] || -> .
% 6.56/6.73 10888[14:Spt:10887.0,10877.0,10878.0] || cycle(e_1,e_2)*+ -> .
% 6.56/6.73 10889[14:Spt:10887.0,10877.1] || -> cycle(e_1,e_1)*.
% 6.56/6.73 10891[14:MRR:9564.0,10889.0] || cycle(e_3,e_0)*+ -> .
% 6.56/6.73 10897[14:Res:16.4,10891.0] group_element(e_3) || -> cycle(e_3,e_3) cycle(e_3,e_2) cycle(e_3,e_1)*.
% 6.56/6.73 10898[14:SSi:10897.0,24.0] || -> cycle(e_3,e_3) cycle(e_3,e_2) cycle(e_3,e_1)*.
% 6.56/6.73 10899[14:MRR:10898.0,10898.1,10898.2,253.0,264.0,9335.0] || -> .
% 6.56/6.73 10900[12:Spt:10899.0,290.4,10750.0] || product(e_1,e_1,e_2)*+ -> .
% 6.56/6.73 10901[12:Spt:10899.0,290.0,290.1,290.2,290.3] || cycle(e_1,u)+ greater(u,e_0)* -> product(e_1,e_1,e_4) product(e_1,e_1,e_3)*.
% 6.56/6.73 10902[12:MRR:1665.6,10900.0] || greater(e_0,e_0) -> cycle(e_1,e_3) cycle(e_1,e_2) cycle(e_1,e_1) product(e_1,e_1,e_4) product(e_1,e_1,e_3)*.
% 6.56/6.73 10917[13:Spt:10901.3] || -> product(e_1,e_1,e_3)*.
% 6.56/6.73 10918[13:Res:10917.0,20.2] || greater(e_3,e_1)* cycle(e_1,e_0) -> .
% 6.56/6.73 10924[13:MRR:10918.0,10.0] || cycle(e_1,e_0)*+ -> .
% 6.56/6.73 10926[13:Res:16.4,10924.0] group_element(e_1) || -> cycle(e_1,e_3) cycle(e_1,e_2) cycle(e_1,e_1)*.
% 6.56/6.73 10927[13:SSi:10926.0,22.0] || -> cycle(e_1,e_3) cycle(e_1,e_2) cycle(e_1,e_1)*.
% 6.56/6.73 10980[14:Spt:10927.0] || -> cycle(e_1,e_3)*.
% 6.56/6.73 10981[14:MRR:9516.0,10980.0] || cycle(e_2,e_0)*+ -> .
% 6.56/6.73 10989[14:Res:16.4,10981.0] group_element(e_2) || -> cycle(e_2,e_3) cycle(e_2,e_2) cycle(e_2,e_1)*.
% 6.56/6.73 10990[14:SSi:10989.0,23.0] || -> cycle(e_2,e_3) cycle(e_2,e_2) cycle(e_2,e_1)*.
% 6.56/6.73 10991[14:MRR:10990.0,10990.1,10990.2,9372.0,9389.0,10668.0] || -> .
% 6.56/6.73 10992[14:Spt:10991.0,10927.0,10980.0] || cycle(e_1,e_3)*+ -> .
% 6.56/6.73 10993[14:Spt:10991.0,10927.1,10927.2] || -> cycle(e_1,e_2) cycle(e_1,e_1)*.
% 6.56/6.73 10994[15:Spt:10993.0] || -> cycle(e_1,e_2)*.
% 6.56/6.73 10996[15:MRR:9343.0,10994.0] || cycle(e_2,e_0)*+ -> .
% 6.56/6.73 11002[15:Res:16.4,10996.0] group_element(e_2) || -> cycle(e_2,e_3) cycle(e_2,e_2) cycle(e_2,e_1)*.
% 6.56/6.73 11003[15:SSi:11002.0,23.0] || -> cycle(e_2,e_3) cycle(e_2,e_2) cycle(e_2,e_1)*.
% 6.56/6.73 11004[15:MRR:11003.0,11003.1,11003.2,9372.0,9389.0,10668.0] || -> .
% 6.56/6.73 11005[15:Spt:11004.0,10993.0,10994.0] || cycle(e_1,e_2)*+ -> .
% 6.56/6.73 11006[15:Spt:11004.0,10993.1] || -> cycle(e_1,e_1)*.
% 6.56/6.73 11008[15:MRR:9346.0,11006.0] || cycle(e_2,e_0)*+ -> .
% 6.56/6.73 11013[15:Res:16.4,11008.0] group_element(e_2) || -> cycle(e_2,e_3) cycle(e_2,e_2) cycle(e_2,e_1)*.
% 6.56/6.73 11014[15:SSi:11013.0,23.0] || -> cycle(e_2,e_3) cycle(e_2,e_2) cycle(e_2,e_1)*.
% 6.56/6.73 11015[15:MRR:11014.0,11014.1,11014.2,9372.0,9389.0,10668.0] || -> .
% 6.56/6.73 11016[13:Spt:11015.0,10901.3,10917.0] || product(e_1,e_1,e_3)*+ -> .
% 6.56/6.73 11017[13:Spt:11015.0,10901.0,10901.1,10901.2] || cycle(e_1,u)+ greater(u,e_0)* -> product(e_1,e_1,e_4)*.
% 6.56/6.73 11018[13:MRR:10902.5,11016.0] || greater(e_0,e_0)+ -> cycle(e_1,e_3) cycle(e_1,e_2) cycle(e_1,e_1) product(e_1,e_1,e_4)*.
% 6.56/6.73 11037[14:Spt:281.0,281.1,281.2,281.3,281.4] group_element(u) group_element(v) || -> product(v,u,e_4) product(v,u,e_3) product(v,u,e_2)*.
% 6.56/6.73 11044[14:Res:11037.4,10900.0] group_element(e_1) group_element(e_1) || -> product(e_1,e_1,e_4) product(e_1,e_1,e_3)*.
% 6.56/6.73 11045[14:Obv:11044.0] group_element(e_1) || -> product(e_1,e_1,e_4) product(e_1,e_1,e_3)*.
% 6.56/6.73 11046[14:SSi:11045.0,22.0] || -> product(e_1,e_1,e_4) product(e_1,e_1,e_3)*.
% 6.56/6.73 11047[14:MRR:11046.1,11016.0] || -> product(e_1,e_1,e_4)*.
% 6.56/6.73 11050[14:Res:11047.0,20.2] || greater(e_4,e_1)* cycle(e_1,e_0) -> .
% 6.56/6.73 11056[14:MRR:11050.0,11.0] || cycle(e_1,e_0)*+ -> .
% 6.56/6.73 11057[14:Res:16.4,11056.0] group_element(e_1) || -> cycle(e_1,e_3) cycle(e_1,e_2) cycle(e_1,e_1)*.
% 6.56/6.73 11058[14:SSi:11057.0,22.0] || -> cycle(e_1,e_3) cycle(e_1,e_2) cycle(e_1,e_1)*.
% 6.56/6.73 11079[15:Spt:11058.0] || -> cycle(e_1,e_3)*.
% 6.56/6.73 11088[15:Res:11079.0,9394.0] || greater(e_3,e_0) -> equalish(e_3,e_1)*.
% 6.56/6.73 11089[15:MRR:11088.0,11088.1,7.0,32.0] || -> .
% 6.56/6.73 11090[15:Spt:11089.0,11058.0,11079.0] || cycle(e_1,e_3)*+ -> .
% 6.56/6.73 11091[15:Spt:11089.0,11058.1,11058.2] || -> cycle(e_1,e_2) cycle(e_1,e_1)*.
% 6.56/6.73 11092[16:Spt:11091.0] || -> cycle(e_1,e_2)*.
% 6.56/6.73 11100[16:Res:11092.0,9394.0] || greater(e_2,e_0) -> equalish(e_2,e_1)*.
% 6.56/6.73 11101[16:MRR:11100.0,11100.1,6.0,29.0] || -> .
% 6.56/6.73 11102[16:Spt:11101.0,11091.0,11092.0] || cycle(e_1,e_2)*+ -> .
% 6.56/6.73 11103[16:Spt:11101.0,11091.1] || -> cycle(e_1,e_1)*.
% 6.56/6.73 11105[16:MRR:9564.0,11103.0] || cycle(e_3,e_0)*+ -> .
% 6.56/6.73 11111[16:Res:16.4,11105.0] group_element(e_3) || -> cycle(e_3,e_3) cycle(e_3,e_2) cycle(e_3,e_1)*.
% 6.56/6.73 11112[16:SSi:11111.0,24.0] || -> cycle(e_3,e_3) cycle(e_3,e_2) cycle(e_3,e_1)*.
% 6.56/6.73 11113[16:MRR:11112.0,11112.1,11112.2,253.0,264.0,9335.0] || -> .
% 6.56/6.73 11114[14:Spt:11113.0,281.5] || -> equalish(e_1,e_1)*.
% 6.56/6.73 11146[15:Spt:11018.1] || -> cycle(e_1,e_3)*.
% 6.56/6.73 11156[15:Res:11146.0,9394.0] || greater(e_3,e_0) -> equalish(e_3,e_1)*.
% 6.56/6.73 11157[15:MRR:11156.0,11156.1,7.0,32.0] || -> .
% 6.56/6.73 11159[15:Spt:11157.0,11018.1,11146.0] || cycle(e_1,e_3)*+ -> .
% 6.56/6.73 11160[15:Spt:11157.0,11018.0,11018.2,11018.3,11018.4] || greater(e_0,e_0)+ -> cycle(e_1,e_2) cycle(e_1,e_1) product(e_1,e_1,e_4)*.
% 6.56/6.73 11162[16:Spt:11160.1] || -> cycle(e_1,e_2)*.
% 6.56/6.73 11170[16:Res:11162.0,9394.0] || greater(e_2,e_0) -> equalish(e_2,e_1)*.
% 6.56/6.73 11171[16:MRR:11170.0,11170.1,6.0,29.0] || -> .
% 6.56/6.73 11172[16:Spt:11171.0,11160.1,11162.0] || cycle(e_1,e_2)*+ -> .
% 6.56/6.73 11173[16:Spt:11171.0,11160.0,11160.2,11160.3] || greater(e_0,e_0)+ -> cycle(e_1,e_1) product(e_1,e_1,e_4)*.
% 6.56/6.73 11175[17:Spt:11173.1] || -> cycle(e_1,e_1)*.
% 6.56/6.73 11177[17:MRR:9346.0,11175.0] || cycle(e_2,e_0)*+ -> .
% 6.56/6.73 11183[17:Res:16.4,11177.0] group_element(e_2) || -> cycle(e_2,e_3) cycle(e_2,e_2) cycle(e_2,e_1)*.
% 6.56/6.73 11184[17:SSi:11183.0,23.0] || -> cycle(e_2,e_3) cycle(e_2,e_2) cycle(e_2,e_1)*.
% 6.56/6.73 11185[17:MRR:11184.0,11184.1,11184.2,9372.0,9389.0,10668.0] || -> .
% 6.56/6.73 11186[17:Spt:11185.0,11173.1,11175.0] || cycle(e_1,e_1)*+ -> .
% 6.56/6.73 11187[17:Spt:11185.0,11173.0,11173.2] || greater(e_0,e_0)+ -> product(e_1,e_1,e_4)*.
% 6.56/6.73 11247[12:Res:284.7,10900.0] group_element(u) group_element(e_1) || -> product(u,e_1,e_4) product(u,e_1,e_3) product(u,e_1,e_2)* product(e_1,e_1,e_4) product(e_1,e_1,e_3)* product(e_1,u,e_1)*.
% 6.56/6.73 11260[12:SSi:11247.1,22.0] group_element(u) || -> product(u,e_1,e_4) product(u,e_1,e_3) product(u,e_1,e_2)* product(e_1,e_1,e_4) product(e_1,e_1,e_3)* product(e_1,u,e_1)*.
% 6.56/6.73 11261[13:MRR:11260.5,11016.0] group_element(u) || -> product(u,e_1,e_4) product(u,e_1,e_3) product(u,e_1,e_2)* product(e_1,e_1,e_4)* product(e_1,u,e_1)*.
% 6.56/6.73 11304[12:Res:239.5,10900.0] group_element(e_1) group_element(e_1) group_element(u) || -> product(e_1,e_1,e_4) product(e_1,e_1,e_3)* product(u,e_1,e_4) product(u,e_1,e_3) product(u,e_1,e_2)* equalish(e_1,u).
% 6.56/6.73 11313[12:Res:239.8,10900.0] group_element(u) group_element(e_1) group_element(e_1) || -> product(u,e_1,e_4) product(u,e_1,e_3) product(u,e_1,e_2)* product(e_1,e_1,e_4) product(e_1,e_1,e_3)* equalish(u,e_1).
% 6.56/6.73 11315[12:Obv:11313.1] group_element(u) group_element(e_1) || -> product(u,e_1,e_4) product(u,e_1,e_3) product(u,e_1,e_2)* product(e_1,e_1,e_4) product(e_1,e_1,e_3)* equalish(u,e_1).
% 6.56/6.73 11316[12:SSi:11315.1,22.0] group_element(u) || -> product(u,e_1,e_4) product(u,e_1,e_3) product(u,e_1,e_2)* product(e_1,e_1,e_4) product(e_1,e_1,e_3)* equalish(u,e_1).
% 6.56/6.73 11317[13:MRR:11316.5,11016.0] group_element(u) || -> product(u,e_1,e_4) product(u,e_1,e_3) product(u,e_1,e_2)* product(e_1,e_1,e_4)* equalish(u,e_1).
% 6.56/6.73 11318[12:Obv:11304.0] group_element(e_1) group_element(u) || -> product(e_1,e_1,e_4) product(e_1,e_1,e_3)* product(u,e_1,e_4) product(u,e_1,e_3) product(u,e_1,e_2)* equalish(e_1,u).
% 6.56/6.73 11319[12:SSi:11318.0,22.0] group_element(u) || -> product(e_1,e_1,e_4) product(e_1,e_1,e_3)* product(u,e_1,e_4) product(u,e_1,e_3) product(u,e_1,e_2)* equalish(e_1,u).
% 6.56/6.73 11320[13:MRR:11319.2,11016.0] group_element(u) || -> product(e_1,e_1,e_4)* product(u,e_1,e_4) product(u,e_1,e_3) product(u,e_1,e_2)* equalish(e_1,u).
% 6.56/6.73 11382[12:Res:279.5,10900.0] group_element(e_1) group_element(u) group_element(e_1) || -> product(e_1,e_1,e_4) product(e_1,e_1,e_3)* product(e_1,u,e_4) product(e_1,u,e_3) product(e_1,u,e_2)* equalish(e_1,u).
% 6.56/6.73 11392[12:Res:279.8,10900.0] group_element(u) group_element(e_1) group_element(e_1) || -> product(e_1,u,e_4) product(e_1,u,e_3) product(e_1,u,e_2)* product(e_1,e_1,e_4) product(e_1,e_1,e_3)* equalish(u,e_1).
% 6.56/6.73 11394[12:Obv:11392.1] group_element(u) group_element(e_1) || -> product(e_1,u,e_4) product(e_1,u,e_3) product(e_1,u,e_2)* product(e_1,e_1,e_4) product(e_1,e_1,e_3)* equalish(u,e_1).
% 6.56/6.73 11395[12:SSi:11394.1,22.0] group_element(u) || -> product(e_1,u,e_4) product(e_1,u,e_3) product(e_1,u,e_2)* product(e_1,e_1,e_4) product(e_1,e_1,e_3)* equalish(u,e_1).
% 6.56/6.73 11396[13:MRR:11395.5,11016.0] group_element(u) || -> product(e_1,u,e_4) product(e_1,u,e_3) product(e_1,u,e_2)* product(e_1,e_1,e_4)* equalish(u,e_1).
% 6.56/6.73 11397[12:Obv:11382.0] group_element(u) group_element(e_1) || -> product(e_1,e_1,e_4) product(e_1,e_1,e_3)* product(e_1,u,e_4) product(e_1,u,e_3) product(e_1,u,e_2)* equalish(e_1,u).
% 6.56/6.73 11398[12:SSi:11397.1,22.0] group_element(u) || -> product(e_1,e_1,e_4) product(e_1,e_1,e_3)* product(e_1,u,e_4) product(e_1,u,e_3) product(e_1,u,e_2)* equalish(e_1,u).
% 6.56/6.73 11399[13:MRR:11398.2,11016.0] group_element(u) || -> product(e_1,e_1,e_4)* product(e_1,u,e_4) product(e_1,u,e_3) product(e_1,u,e_2)* equalish(e_1,u).
% 6.56/6.73 11408[18:Spt:11317.0,11317.1,11317.2,11317.3,11317.5] group_element(u) || -> product(u,e_1,e_4) product(u,e_1,e_3) product(u,e_1,e_2)* equalish(u,e_1).
% 6.56/6.73 11421[19:Spt:11320.0,11320.2,11320.3,11320.4,11320.5] group_element(u) || -> product(u,e_1,e_4) product(u,e_1,e_3) product(u,e_1,e_2)* equalish(e_1,u).
% 6.56/6.73 11423[19:Res:11421.3,42.0] group_element(u) || product(v,u,e_1)*+ -> product(u,e_1,e_4) product(u,e_1,e_3)* equalish(e_1,u) product(e_1,v,e_2)*.
% 6.56/6.73 11424[19:Res:11421.3,39.0] group_element(u) || product(u,e_1,v)*+ -> product(u,e_1,e_4) product(u,e_1,e_3)* equalish(e_1,u) equalish(v,e_2).
% 6.56/6.73 11434[20:Spt:11396.0,11396.1,11396.2,11396.3,11396.5] group_element(u) || -> product(e_1,u,e_4) product(e_1,u,e_3) product(e_1,u,e_2)* equalish(u,e_1).
% 6.56/6.73 11436[20:Res:11434.3,42.0] group_element(u) || product(v,e_1,u)*+ -> product(e_1,u,e_4) product(e_1,u,e_3)* equalish(u,e_1) product(u,v,e_2)*.
% 6.56/6.73 11447[21:Spt:11399.0,11399.2,11399.3,11399.4,11399.5] group_element(u) || -> product(e_1,u,e_4) product(e_1,u,e_3) product(e_1,u,e_2)* equalish(e_1,u).
% 6.56/6.73 11452[21:Res:11447.3,41.0] group_element(u) || product(v,u,e_2)*+ -> product(e_1,u,e_4) product(e_1,u,e_3)* equalish(e_1,u) equalish(v,e_1).
% 6.56/6.73 11506[22:Spt:11261.0,11261.1,11261.2,11261.3,11261.5] group_element(u) || -> product(u,e_1,e_4) product(u,e_1,e_3) product(u,e_1,e_2)* product(e_1,u,e_1)*.
% 6.56/6.73 11519[22:Res:11506.4,42.0] group_element(u) || product(v,e_1,u)*+ -> product(u,e_1,e_4) product(u,e_1,e_3) product(u,e_1,e_2)* product(u,v,e_1)*.
% 6.56/6.73 11526[22:Res:11506.4,55.2] group_element(u) group_element(e_1) group_element(u) || -> product(u,e_1,e_4) product(u,e_1,e_3) product(u,e_1,e_2)* product(u,e_1,e_4) product(u,e_1,e_3) product(u,e_1,e_2)* product(e_1,e_1,e_1)*.
% 6.56/6.73 11533[22:Obv:11526.5] group_element(e_1) group_element(u) || -> product(u,e_1,e_4) product(u,e_1,e_3) product(u,e_1,e_2)* product(e_1,e_1,e_1)*.
% 6.56/6.73 11534[22:SSi:11533.0,22.0] group_element(u) || -> product(u,e_1,e_4) product(u,e_1,e_3) product(u,e_1,e_2)* product(e_1,e_1,e_1)*.
% 6.56/6.73 11537[23:Spt:11534.0,11534.1,11534.2,11534.3] group_element(u) || -> product(u,e_1,e_4) product(u,e_1,e_3) product(u,e_1,e_2)*.
% 6.56/6.73 11547[23:Res:11537.3,10900.0] group_element(e_1) || -> product(e_1,e_1,e_4) product(e_1,e_1,e_3)*.
% 6.56/6.73 11549[23:SSi:11547.0,22.0] || -> product(e_1,e_1,e_4) product(e_1,e_1,e_3)*.
% 6.56/6.73 11550[23:MRR:11549.1,11016.0] || -> product(e_1,e_1,e_4)*.
% 6.56/6.73 11559[23:Res:11550.0,20.2] || greater(e_4,e_1)* cycle(e_1,e_0) -> .
% 6.56/6.73 11567[23:MRR:11559.0,11.0] || cycle(e_1,e_0)*+ -> .
% 6.56/6.73 11582[23:Res:16.4,11567.0] group_element(e_1) || -> cycle(e_1,e_3) cycle(e_1,e_2) cycle(e_1,e_1)*.
% 6.56/6.73 11583[23:SSi:11582.0,22.0] || -> cycle(e_1,e_3) cycle(e_1,e_2) cycle(e_1,e_1)*.
% 6.56/6.73 11584[23:MRR:11583.0,11583.1,11583.2,11159.0,11172.0,11186.0] || -> .
% 6.56/6.73 11585[23:Spt:11584.0,11534.4] || -> product(e_1,e_1,e_1)*.
% 6.56/6.73 12263[22:Res:11408.3,11519.1] group_element(u) group_element(e_2) || -> product(u,e_1,e_4) product(u,e_1,e_3)* equalish(u,e_1) product(e_2,e_1,e_4) product(e_2,e_1,e_3) product(e_2,e_1,e_2)* product(e_2,u,e_1)*.
% 6.56/6.73 12267[22:SSi:12263.1,23.0] group_element(u) || -> product(u,e_1,e_4) product(u,e_1,e_3)* equalish(u,e_1) product(e_2,e_1,e_4) product(e_2,e_1,e_3) product(e_2,e_1,e_2)* product(e_2,u,e_1)*.
% 6.56/6.73 12268[22:MRR:12267.4,12267.5,10698.0,10737.0] group_element(u) || -> product(u,e_1,e_4) product(u,e_1,e_3)* equalish(u,e_1) product(e_2,e_1,e_2)* product(e_2,u,e_1)*.
% 6.56/6.73 12315[24:Spt:12268.0,12268.1,12268.2,12268.3,12268.5] group_element(u) || -> product(u,e_1,e_4) product(u,e_1,e_3)* equalish(u,e_1) product(e_2,u,e_1)*.
% 6.56/6.73 12330[24:Res:12315.2,10737.0] group_element(e_2) || -> product(e_2,e_1,e_4)* equalish(e_2,e_1) product(e_2,e_2,e_1).
% 6.56/6.73 12350[24:SSi:12330.0,23.0] || -> product(e_2,e_1,e_4)* equalish(e_2,e_1) product(e_2,e_2,e_1).
% 6.56/6.73 12351[24:MRR:12350.0,12350.1,10698.0,29.0] || -> product(e_2,e_2,e_1)*.
% 6.56/6.73 12376[24:Res:12351.0,42.0] || product(u,e_2,e_2)*+ -> product(e_2,u,e_1)*.
% 7.86/8.02 12384[24:Res:12351.0,11423.1] group_element(e_2) || -> product(e_2,e_1,e_4) product(e_2,e_1,e_3) equalish(e_1,e_2) product(e_1,e_2,e_2)*.
% 7.86/8.02 12387[24:SSi:12384.0,23.0] || -> product(e_2,e_1,e_4) product(e_2,e_1,e_3) equalish(e_1,e_2) product(e_1,e_2,e_2)*.
% 7.86/8.02 12388[24:MRR:12387.0,12387.1,12387.2,10698.0,10737.0,26.0] || -> product(e_1,e_2,e_2)*.
% 7.86/8.02 12504[24:Res:12388.0,12376.0] || -> product(e_2,e_1,e_1)*.
% 7.86/8.02 12533[24:Res:12504.0,11424.1] group_element(e_2) || -> product(e_2,e_1,e_4) product(e_2,e_1,e_3)* equalish(e_1,e_2) equalish(e_1,e_2).
% 7.86/8.02 12548[24:Obv:12533.3] group_element(e_2) || -> product(e_2,e_1,e_4) product(e_2,e_1,e_3)* equalish(e_1,e_2).
% 7.86/8.02 12549[24:SSi:12548.0,23.0] || -> product(e_2,e_1,e_4) product(e_2,e_1,e_3)* equalish(e_1,e_2).
% 7.86/8.02 12550[24:MRR:12549.0,12549.1,12549.2,10698.0,10737.0,26.0] || -> .
% 7.86/8.02 12560[24:Spt:12550.0,12268.4] || -> product(e_2,e_1,e_2)*.
% 7.86/8.02 12562[24:Res:12560.0,11436.1] group_element(e_2) || -> product(e_1,e_2,e_4) product(e_1,e_2,e_3)* equalish(e_2,e_1) product(e_2,e_2,e_2).
% 7.86/8.02 12584[24:SSi:12562.0,23.0] || -> product(e_1,e_2,e_4) product(e_1,e_2,e_3)* equalish(e_2,e_1) product(e_2,e_2,e_2).
% 7.86/8.02 12585[24:MRR:12584.2,29.0] || -> product(e_1,e_2,e_4) product(e_1,e_2,e_3)* product(e_2,e_2,e_2).
% 7.86/8.02 12664[25:Spt:12585.0] || -> product(e_1,e_2,e_4)*.
% 7.86/8.02 12665[25:Res:12664.0,42.0] || product(u,e_1,e_2)*+ -> product(e_2,u,e_4)*.
% 7.86/8.02 12668[25:Res:12664.0,41.0] || product(u,e_2,e_4)*+ -> equalish(u,e_1).
% 7.86/8.02 12725[25:Res:12560.0,12665.0] || -> product(e_2,e_2,e_4)*.
% 7.86/8.02 12740[25:Res:12725.0,12668.0] || -> equalish(e_2,e_1)*.
% 7.86/8.02 12743[25:MRR:12740.0,29.0] || -> .
% 7.86/8.02 12747[25:Spt:12743.0,12585.0,12664.0] || product(e_1,e_2,e_4)*+ -> .
% 7.86/8.02 12748[25:Spt:12743.0,12585.1,12585.2] || -> product(e_1,e_2,e_3)* product(e_2,e_2,e_2).
% 7.86/8.02 12758[26:Spt:12748.0] || -> product(e_1,e_2,e_3)*.
% 7.86/8.02 12760[26:Res:12758.0,42.0] || product(u,e_1,e_2)*+ -> product(e_2,u,e_3)*.
% 7.86/8.02 12763[26:Res:12758.0,41.0] || product(u,e_2,e_3)*+ -> equalish(u,e_1).
% 7.86/8.02 12797[26:Res:12560.0,12760.0] || -> product(e_2,e_2,e_3)*.
% 7.86/8.02 12832[26:Res:12797.0,12763.0] || -> equalish(e_2,e_1)*.
% 7.86/8.02 12835[26:MRR:12832.0,29.0] || -> .
% 7.86/8.02 12839[26:Spt:12835.0,12748.0,12758.0] || product(e_1,e_2,e_3)* -> .
% 7.86/8.02 12840[26:Spt:12835.0,12748.1] || -> product(e_2,e_2,e_2)*.
% 7.86/8.02 12860[26:Res:12840.0,11452.1] group_element(e_2) || -> product(e_1,e_2,e_4) product(e_1,e_2,e_3)* equalish(e_1,e_2) equalish(e_2,e_1).
% 7.86/8.02 12870[26:SSi:12860.0,23.0] || -> product(e_1,e_2,e_4) product(e_1,e_2,e_3)* equalish(e_1,e_2) equalish(e_2,e_1).
% 7.86/8.02 12871[26:MRR:12870.0,12870.2,12870.3,12747.0,26.0,29.0] || -> product(e_1,e_2,e_3)*.
% 7.86/8.02 12872[26:MRR:12871.0,12839.0] || -> .
% 7.86/8.02 12878[22:Spt:12872.0,11261.4] || -> product(e_1,e_1,e_4)*.
% 7.86/8.02 12890[22:Res:12878.0,20.2] || greater(e_4,e_1)* cycle(e_1,e_0) -> .
% 7.86/8.02 12905[22:MRR:12890.0,11.0] || cycle(e_1,e_0)*+ -> .
% 7.86/8.02 12964[22:Res:16.4,12905.0] group_element(e_1) || -> cycle(e_1,e_3) cycle(e_1,e_2) cycle(e_1,e_1)*.
% 7.86/8.02 12965[22:SSi:12964.0,22.0] || -> cycle(e_1,e_3) cycle(e_1,e_2) cycle(e_1,e_1)*.
% 7.86/8.02 12966[22:MRR:12965.0,12965.1,12965.2,11159.0,11172.0,11186.0] || -> .
% 7.86/8.02 12967[21:Spt:12966.0,11399.1] || -> product(e_1,e_1,e_4)*.
% 7.86/8.02 12982[21:Res:12967.0,20.2] || greater(e_4,e_1)* cycle(e_1,e_0) -> .
% 7.86/8.02 12995[21:MRR:12982.0,11.0] || cycle(e_1,e_0)*+ -> .
% 7.86/8.02 13050[21:Res:16.4,12995.0] group_element(e_1) || -> cycle(e_1,e_3) cycle(e_1,e_2) cycle(e_1,e_1)*.
% 7.86/8.02 13051[21:SSi:13050.0,22.0] || -> cycle(e_1,e_3) cycle(e_1,e_2) cycle(e_1,e_1)*.
% 7.86/8.02 13052[21:MRR:13051.0,13051.1,13051.2,11159.0,11172.0,11186.0] || -> .
% 7.86/8.02 13053[20:Spt:13052.0,11396.4] || -> product(e_1,e_1,e_4)*.
% 7.86/8.02 13054[20:Res:13053.0,20.2] || greater(e_4,e_1)* cycle(e_1,e_0) -> .
% 7.86/8.02 13067[20:MRR:13054.0,11.0] || cycle(e_1,e_0)*+ -> .
% 7.86/8.02 13101[20:Res:16.4,13067.0] group_element(e_1) || -> cycle(e_1,e_3) cycle(e_1,e_2) cycle(e_1,e_1)*.
% 7.86/8.02 13102[20:SSi:13101.0,22.0] || -> cycle(e_1,e_3) cycle(e_1,e_2) cycle(e_1,e_1)*.
% 7.86/8.02 13103[20:MRR:13102.0,13102.1,13102.2,11159.0,11172.0,11186.0] || -> .
% 7.86/8.02 13104[19:Spt:13103.0,11320.1] || -> product(e_1,e_1,e_4)*.
% 7.86/8.02 13105[19:Res:13104.0,20.2] || greater(e_4,e_1)* cycle(e_1,e_0) -> .
% 7.86/8.02 13117[19:MRR:13105.0,11.0] || cycle(e_1,e_0)*+ -> .
% 7.86/8.02 13150[19:Res:16.4,13117.0] group_element(e_1) || -> cycle(e_1,e_3) cycle(e_1,e_2) cycle(e_1,e_1)*.
% 7.86/8.02 13151[19:SSi:13150.0,22.0] || -> cycle(e_1,e_3) cycle(e_1,e_2) cycle(e_1,e_1)*.
% 7.86/8.02 13152[19:MRR:13151.0,13151.1,13151.2,11159.0,11172.0,11186.0] || -> .
% 7.86/8.02 13153[18:Spt:13152.0,11317.4] || -> product(e_1,e_1,e_4)*.
% 7.86/8.02 13154[18:Res:13153.0,20.2] || greater(e_4,e_1)* cycle(e_1,e_0) -> .
% 7.86/8.02 13166[18:MRR:13154.0,11.0] || cycle(e_1,e_0)*+ -> .
% 7.86/8.02 13175[18:Res:16.4,13166.0] group_element(e_1) || -> cycle(e_1,e_3) cycle(e_1,e_2) cycle(e_1,e_1)*.
% 7.86/8.02 13176[18:SSi:13175.0,22.0] || -> cycle(e_1,e_3) cycle(e_1,e_2) cycle(e_1,e_1)*.
% 7.86/8.02 13177[18:MRR:13176.0,13176.1,13176.2,11159.0,11172.0,11186.0] || -> .
% 7.86/8.02 13178[6:Spt:13177.0,9392.2] || -> cycle(e_2,e_1)*.
% 7.86/8.02 13179[6:MRR:9582.0,13178.0] || cycle(e_3,e_0)*+ -> .
% 7.86/8.02 13189[6:Res:16.4,13179.0] group_element(e_3) || -> cycle(e_3,e_3) cycle(e_3,e_2) cycle(e_3,e_1)*.
% 7.86/8.02 13190[6:SSi:13189.0,24.0] || -> cycle(e_3,e_3) cycle(e_3,e_2) cycle(e_3,e_1)*.
% 7.86/8.02 13191[6:MRR:13190.0,13190.1,13190.2,253.0,264.0,9335.0] || -> .
% 7.86/8.02 % SZS output end Refutation
% 7.86/8.02 Formulae used in the proof : e_0_then_e_1 e_1_then_e_2 e_2_then_e_3 e_3_then_e_4 e_1_greater_e_0 e_2_greater_e_0 e_3_greater_e_0 e_2_greater_e_1 e_3_greater_e_1 e_4_greater_e_1 e_3_greater_e_2 e_4_greater_e_2 e_4_greater_e_3 cycle2 cycle3 cycle4 cycle5 cycle6 cycle7 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
% 7.86/8.02
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