TSTP Solution File: GRP130-1.003 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GRP130-1.003 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n004.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 11:45:46 EDT 2022
% Result : Unsatisfiable 1.38s 1.62s
% Output : Refutation 1.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP130-1.003 : TPTP v8.1.0. Released v1.2.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.13/0.32 % Computer : n004.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 600
% 0.13/0.32 % DateTime : Mon Jun 13 21:11:54 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.38/1.62
% 1.38/1.62 SPASS V 3.9
% 1.38/1.62 SPASS beiseite: Proof found.
% 1.38/1.62 % SZS status Theorem
% 1.38/1.62 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.38/1.62 SPASS derived 2575 clauses, backtracked 575 clauses, performed 31 splits and kept 1706 clauses.
% 1.38/1.62 SPASS allocated 79228 KBytes.
% 1.38/1.62 SPASS spent 0:00:01.29 on the problem.
% 1.38/1.62 0:00:00.04 for the input.
% 1.38/1.62 0:00:00.00 for the FLOTTER CNF translation.
% 1.38/1.62 0:00:00.05 for inferences.
% 1.38/1.62 0:00:00.01 for the backtracking.
% 1.38/1.62 0:00:01.17 for the reduction.
% 1.38/1.62
% 1.38/1.62
% 1.38/1.62 Here is a proof with depth 18, length 316 :
% 1.38/1.62 % SZS output start Refutation
% 1.38/1.62 1[0:Inp] || -> group_element(e_1)*.
% 1.38/1.62 2[0:Inp] || -> group_element(e_2)*.
% 1.38/1.62 3[0:Inp] || -> group_element(e_3)*.
% 1.38/1.62 4[0:Inp] || equalish(e_1,e_2)*+ -> .
% 1.38/1.62 5[0:Inp] || equalish(e_1,e_3)*+ -> .
% 1.38/1.62 6[0:Inp] || equalish(e_2,e_1)*+ -> .
% 1.38/1.62 7[0:Inp] || equalish(e_2,e_3)*+ -> .
% 1.38/1.62 8[0:Inp] || equalish(e_3,e_1)*+ -> .
% 1.38/1.62 9[0:Inp] || equalish(e_3,e_2)*+ -> .
% 1.38/1.62 10[0:Inp] group_element(u) group_element(v) || -> product(v,u,e_3) product(v,u,e_2) product(v,u,e_1)*.
% 1.38/1.62 11[0:Inp] || product(u,v,w)*+ product(u,v,x)* -> equalish(x,w)*.
% 1.38/1.62 12[0:Inp] || product(u,v,w)*+ product(u,x,w)* -> equalish(x,v)*.
% 1.38/1.62 13[0:Inp] || product(u,v,w)*+ product(x,v,w)* -> equalish(x,u)*.
% 1.38/1.62 14[0:Inp] || product(u,v,w)*+ product(u,x,v)* -> product(w,x,u)*.
% 1.38/1.62 18[0:Res:10.4,14.0] group_element(u) group_element(v) || product(v,w,u)*+ -> product(v,u,e_3) product(v,u,e_2)* product(e_1,w,v)*.
% 1.38/1.62 19[0:Res:10.4,11.0] group_element(u) group_element(v) || product(v,u,w)*+ -> product(v,u,e_3) product(v,u,e_2)* equalish(w,e_1).
% 1.38/1.62 21[0:Res:10.4,13.0] group_element(u) group_element(v) || product(w,u,e_1)*+ -> product(v,u,e_3) product(v,u,e_2)* equalish(w,v)*.
% 1.38/1.62 26[0:Res:10.4,19.2] group_element(u) group_element(v) group_element(u) group_element(v) || -> product(v,u,e_3) product(v,u,e_2)* product(v,u,e_3) product(v,u,e_2)* equalish(e_1,e_1).
% 1.38/1.62 27[0:Obv:26.5] group_element(u) group_element(v) || -> product(v,u,e_3) product(v,u,e_2)* equalish(e_1,e_1).
% 1.38/1.62 28[1:Spt:27.0,27.1,27.2,27.3] group_element(u) group_element(v) || -> product(v,u,e_3) product(v,u,e_2)*.
% 1.38/1.62 29[1:Res:28.3,14.0] group_element(u) group_element(v) || product(v,w,u)*+ -> product(v,u,e_3)* product(e_2,w,v)*.
% 1.38/1.62 30[1:Res:28.3,11.0] group_element(u) group_element(v) || product(v,u,w)*+ -> product(v,u,e_3)* equalish(w,e_2).
% 1.38/1.62 31[1:Res:28.3,12.0] group_element(u) group_element(v) || product(v,w,e_2)*+ -> product(v,u,e_3)* equalish(w,u)*.
% 1.38/1.62 33[1:Res:28.3,30.2] group_element(u) group_element(v) group_element(u) group_element(v) || -> product(v,u,e_3)* product(v,u,e_3)* equalish(e_2,e_2).
% 1.38/1.62 34[1:Obv:33.4] group_element(u) group_element(v) || -> product(v,u,e_3)* equalish(e_2,e_2).
% 1.38/1.62 37[2:Spt:34.0,34.1,34.2] group_element(u) group_element(v) || -> product(v,u,e_3)*.
% 1.38/1.62 40[2:Res:37.2,12.0] group_element(u) group_element(v) || product(v,w,e_3)*+ -> equalish(w,u)*.
% 1.38/1.62 48[2:Res:37.2,40.2] group_element(u) group_element(v) group_element(w) group_element(v) || -> equalish(u,w)*.
% 1.38/1.62 49[2:Obv:48.1] group_element(u) group_element(v) group_element(w) || -> equalish(u,v)*.
% 1.38/1.62 50[2:Con:49.2] group_element(u) group_element(v) || -> equalish(u,v)*.
% 1.38/1.62 56[2:Res:50.2,4.0] group_element(e_1) group_element(e_2) || -> .
% 1.38/1.62 62[2:SSi:56.1,56.0,2.0,1.0] || -> .
% 1.38/1.62 63[2:Spt:62.0,34.3] || -> equalish(e_2,e_2)*.
% 1.38/1.62 74[1:Res:28.3,29.2] group_element(u) group_element(v) group_element(e_2) group_element(v) || -> product(v,u,e_3)* product(v,e_2,e_3)* product(e_2,u,v)*.
% 1.38/1.62 75[1:Obv:74.1] group_element(u) group_element(e_2) group_element(v) || -> product(v,u,e_3)* product(v,e_2,e_3)* product(e_2,u,v)*.
% 1.38/1.62 76[1:SSi:75.1,2.0] group_element(u) group_element(v) || -> product(v,u,e_3)* product(v,e_2,e_3)* product(e_2,u,v)*.
% 1.38/1.62 77[1:Fac:76.2,76.3] group_element(e_2) group_element(u) || -> product(u,e_2,e_3)* product(e_2,e_2,u)*.
% 1.38/1.62 98[1:SSi:77.0,2.0] group_element(u) || -> product(u,e_2,e_3)* product(e_2,e_2,u)*.
% 1.38/1.62 115[1:Res:98.1,29.2] group_element(u) group_element(e_3) group_element(u) || -> product(e_2,e_2,u)* product(u,e_3,e_3)* product(e_2,e_2,u)*.
% 1.38/1.62 121[1:Res:98.2,30.2] group_element(u) group_element(e_2) group_element(e_2) || -> product(u,e_2,e_3)* product(e_2,e_2,e_3)* equalish(u,e_2).
% 1.38/1.62 122[1:Res:98.2,31.2] group_element(e_2) group_element(u) group_element(e_2) || -> product(e_2,e_2,e_3)* product(e_2,u,e_3)* equalish(e_2,u).
% 1.38/1.62 124[1:Obv:122.0] group_element(u) group_element(e_2) || -> product(e_2,e_2,e_3)* product(e_2,u,e_3)* equalish(e_2,u).
% 1.38/1.62 125[1:SSi:124.1,2.0] group_element(u) || -> product(e_2,e_2,e_3)* product(e_2,u,e_3)* equalish(e_2,u).
% 1.38/1.62 126[1:Obv:121.1] group_element(u) group_element(e_2) || -> product(u,e_2,e_3)* product(e_2,e_2,e_3)* equalish(u,e_2).
% 1.38/1.62 127[1:SSi:126.1,2.0] group_element(u) || -> product(u,e_2,e_3)* product(e_2,e_2,e_3)* equalish(u,e_2).
% 1.38/1.62 133[1:Obv:115.3] group_element(e_3) group_element(u) || -> product(u,e_3,e_3)* product(e_2,e_2,u)*.
% 1.38/1.62 134[1:SSi:133.0,3.0] group_element(u) || -> product(u,e_3,e_3)* product(e_2,e_2,u)*.
% 1.38/1.62 146[1:Res:134.2,30.2] group_element(u) group_element(e_2) group_element(e_2) || -> product(u,e_3,e_3)* product(e_2,e_2,e_3)* equalish(u,e_2).
% 1.38/1.62 151[1:Obv:146.1] group_element(u) group_element(e_2) || -> product(u,e_3,e_3)* product(e_2,e_2,e_3)* equalish(u,e_2).
% 1.38/1.62 152[1:SSi:151.1,2.0] group_element(u) || -> product(u,e_3,e_3)* product(e_2,e_2,e_3)* equalish(u,e_2).
% 1.38/1.62 188[3:Spt:125.0,125.2,125.3] group_element(u) || -> product(e_2,u,e_3)* equalish(e_2,u).
% 1.38/1.62 194[3:Res:188.1,29.2] group_element(u) group_element(e_3) group_element(e_2) || -> equalish(e_2,u) product(e_2,e_3,e_3)* product(e_2,u,e_2)*.
% 1.38/1.62 196[3:SSi:194.2,194.1,2.0,3.0] group_element(u) || -> equalish(e_2,u) product(e_2,e_3,e_3)* product(e_2,u,e_2)*.
% 1.38/1.62 197[4:Spt:127.0,127.1,127.3] group_element(u) || -> product(u,e_2,e_3)* equalish(u,e_2).
% 1.38/1.62 243[5:Spt:152.0,152.1,152.3] group_element(u) || -> product(u,e_3,e_3)* equalish(u,e_2).
% 1.38/1.62 252[6:Spt:196.0,196.1,196.3] group_element(u) || -> equalish(e_2,u) product(e_2,u,e_2)*.
% 1.38/1.62 253[6:Res:252.2,14.0] group_element(u) || product(e_2,v,u)* -> equalish(e_2,u) product(e_2,v,e_2)*.
% 1.38/1.62 261[6:MRR:253.3,11.1] group_element(u) || product(e_2,v,u)*+ -> equalish(e_2,u).
% 1.38/1.62 280[6:Res:188.1,261.1] group_element(u) group_element(e_3) || -> equalish(e_2,u)* equalish(e_2,e_3)*.
% 1.38/1.62 282[6:Con:280.0] group_element(e_3) || -> equalish(e_2,e_3)*.
% 1.38/1.62 283[6:SSi:282.0,3.0] || -> equalish(e_2,e_3)*.
% 1.38/1.62 284[6:MRR:283.0,7.0] || -> .
% 1.38/1.62 301[6:Spt:284.0,196.2] || -> product(e_2,e_3,e_3)*.
% 1.38/1.62 305[6:Res:301.0,13.0] || product(u,e_3,e_3)* -> equalish(u,e_2).
% 1.38/1.62 308[6:MRR:243.1,305.0] group_element(u) || -> equalish(u,e_2)*.
% 1.38/1.62 318[6:Res:308.1,4.0] group_element(e_1) || -> .
% 1.38/1.62 320[6:SSi:318.0,1.0] || -> .
% 1.38/1.62 321[5:Spt:320.0,152.2] || -> product(e_2,e_2,e_3)*.
% 1.38/1.62 325[5:Res:321.0,13.0] || product(u,e_2,e_3)* -> equalish(u,e_2).
% 1.38/1.62 328[5:MRR:197.1,325.0] group_element(u) || -> equalish(u,e_2)*.
% 1.38/1.62 331[5:Res:328.1,4.0] group_element(e_1) || -> .
% 1.38/1.62 333[5:SSi:331.0,1.0] || -> .
% 1.38/1.62 334[4:Spt:333.0,127.2] || -> product(e_2,e_2,e_3)*.
% 1.38/1.62 335[4:Res:334.0,14.0] || product(e_2,u,e_2)*+ -> product(e_3,u,e_2).
% 1.38/1.62 337[4:Res:334.0,12.0] || product(e_2,u,e_3)*+ -> equalish(u,e_2).
% 1.38/1.62 410[4:Res:28.3,335.0] group_element(u) group_element(e_2) || -> product(e_2,u,e_3)* product(e_3,u,e_2).
% 1.38/1.62 412[4:Res:134.2,335.0] group_element(e_2) || -> product(e_2,e_3,e_3)* product(e_3,e_2,e_2).
% 1.38/1.62 414[4:SSi:412.0,2.0] || -> product(e_2,e_3,e_3)* product(e_3,e_2,e_2).
% 1.38/1.62 415[4:SSi:410.1,2.0] group_element(u) || -> product(e_2,u,e_3)* product(e_3,u,e_2).
% 1.38/1.62 416[5:Spt:414.0] || -> product(e_2,e_3,e_3)*.
% 1.38/1.62 423[5:Res:416.0,337.0] || -> equalish(e_3,e_2)*.
% 1.38/1.62 424[5:MRR:423.0,9.0] || -> .
% 1.38/1.62 426[5:Spt:424.0,414.0,416.0] || product(e_2,e_3,e_3)*+ -> .
% 1.38/1.62 427[5:Spt:424.0,414.1] || -> product(e_3,e_2,e_2)*.
% 1.38/1.62 430[5:Res:427.0,14.0] || product(e_3,u,e_2) -> product(e_2,u,e_3)*.
% 1.38/1.62 438[5:MRR:415.2,430.0] group_element(u) || -> product(e_2,u,e_3)*.
% 1.38/1.62 461[5:Res:438.1,426.0] group_element(e_3) || -> .
% 1.38/1.62 462[5:SSi:461.0,3.0] || -> .
% 1.38/1.62 464[3:Spt:462.0,125.1] || -> product(e_2,e_2,e_3)*.
% 1.38/1.62 465[3:Res:464.0,14.0] || product(e_2,u,e_2)*+ -> product(e_3,u,e_2).
% 1.38/1.62 467[3:Res:464.0,12.0] || product(e_2,u,e_3)*+ -> equalish(u,e_2).
% 1.38/1.62 557[3:Res:28.3,465.0] group_element(u) group_element(e_2) || -> product(e_2,u,e_3)* product(e_3,u,e_2).
% 1.38/1.62 560[3:Res:134.2,465.0] group_element(e_2) || -> product(e_2,e_3,e_3)* product(e_3,e_2,e_2).
% 1.38/1.62 562[3:SSi:560.0,2.0] || -> product(e_2,e_3,e_3)* product(e_3,e_2,e_2).
% 1.38/1.62 563[3:SSi:557.1,2.0] group_element(u) || -> product(e_2,u,e_3)* product(e_3,u,e_2).
% 1.38/1.62 564[4:Spt:562.0] || -> product(e_2,e_3,e_3)*.
% 1.38/1.62 571[4:Res:564.0,467.0] || -> equalish(e_3,e_2)*.
% 1.38/1.62 572[4:MRR:571.0,9.0] || -> .
% 1.38/1.62 576[4:Spt:572.0,562.0,564.0] || product(e_2,e_3,e_3)*+ -> .
% 1.38/1.62 577[4:Spt:572.0,562.1] || -> product(e_3,e_2,e_2)*.
% 1.38/1.62 580[4:Res:577.0,14.0] || product(e_3,u,e_2) -> product(e_2,u,e_3)*.
% 1.38/1.62 588[4:MRR:563.2,580.0] group_element(u) || -> product(e_2,u,e_3)*.
% 1.38/1.62 623[4:Res:588.1,576.0] group_element(e_3) || -> .
% 1.38/1.62 624[4:SSi:623.0,3.0] || -> .
% 1.38/1.62 626[1:Spt:624.0,27.4] || -> equalish(e_1,e_1)*.
% 1.38/1.62 637[0:Res:10.4,18.2] group_element(u) group_element(v) group_element(e_1) group_element(v) || -> product(v,u,e_3) product(v,u,e_2)* product(v,e_1,e_3) product(v,e_1,e_2)* product(e_1,u,v)*.
% 1.38/1.62 638[0:Obv:637.1] group_element(u) group_element(e_1) group_element(v) || -> product(v,u,e_3) product(v,u,e_2)* product(v,e_1,e_3) product(v,e_1,e_2)* product(e_1,u,v)*.
% 1.38/1.62 639[0:SSi:638.1,1.0] group_element(u) group_element(v) || -> product(v,u,e_3) product(v,u,e_2)* product(v,e_1,e_3) product(v,e_1,e_2)* product(e_1,u,v)*.
% 1.38/1.62 640[0:Fac:639.3,639.5] group_element(e_1) group_element(u) || -> product(u,e_1,e_3) product(u,e_1,e_3) product(u,e_1,e_2)* product(e_1,e_1,u)*.
% 1.38/1.62 656[0:Res:639.6,13.0] group_element(u) group_element(v) || product(w,u,v)*+ -> product(v,u,e_3) product(v,u,e_2)* product(v,e_1,e_3) product(v,e_1,e_2)* equalish(w,e_1).
% 1.38/1.62 661[0:Obv:640.2] group_element(e_1) group_element(u) || -> product(u,e_1,e_3) product(u,e_1,e_2)* product(e_1,e_1,u)*.
% 1.38/1.62 662[0:SSi:661.0,1.0] group_element(u) || -> product(u,e_1,e_3) product(u,e_1,e_2)* product(e_1,e_1,u)*.
% 1.38/1.62 675[0:Res:662.2,11.0] group_element(u) || product(u,e_1,v)*+ -> product(u,e_1,e_3)* product(e_1,e_1,u)* equalish(v,e_2).
% 1.38/1.62 679[0:Res:662.2,18.2] group_element(u) group_element(e_2) group_element(u) || -> product(u,e_1,e_3)* product(e_1,e_1,u)* product(u,e_2,e_3) product(u,e_2,e_2) product(e_1,e_1,u)*.
% 1.38/1.62 682[0:Res:662.3,12.0] group_element(u) || product(e_1,v,u)*+ -> product(u,e_1,e_3) product(u,e_1,e_2)* equalish(v,e_1).
% 1.38/1.62 683[0:Res:662.3,13.0] group_element(u) || product(v,e_1,u)*+ -> product(u,e_1,e_3) product(u,e_1,e_2)* equalish(v,e_1).
% 1.38/1.62 684[0:Res:662.3,21.2] group_element(e_1) group_element(e_1) group_element(u) || -> product(e_1,e_1,e_3) product(e_1,e_1,e_2)* product(u,e_1,e_3) product(u,e_1,e_2)* equalish(e_1,u).
% 1.38/1.62 692[0:Obv:684.0] group_element(e_1) group_element(u) || -> product(e_1,e_1,e_3) product(e_1,e_1,e_2)* product(u,e_1,e_3) product(u,e_1,e_2)* equalish(e_1,u).
% 1.38/1.62 693[0:SSi:692.0,1.0] group_element(u) || -> product(e_1,e_1,e_3) product(e_1,e_1,e_2)* product(u,e_1,e_3) product(u,e_1,e_2)* equalish(e_1,u).
% 1.38/1.62 697[0:Obv:679.4] group_element(e_2) group_element(u) || -> product(u,e_1,e_3)* product(u,e_2,e_3) product(u,e_2,e_2) product(e_1,e_1,u)*.
% 1.38/1.62 698[0:SSi:697.0,2.0] group_element(u) || -> product(u,e_1,e_3)* product(u,e_2,e_3) product(u,e_2,e_2) product(e_1,e_1,u)*.
% 1.38/1.62 754[0:Res:662.2,675.1] group_element(u) group_element(u) || -> product(u,e_1,e_3)* product(e_1,e_1,u)* product(u,e_1,e_3)* product(e_1,e_1,u)* equalish(e_2,e_2).
% 1.38/1.62 764[0:Obv:754.3] group_element(u) || -> product(u,e_1,e_3)* product(e_1,e_1,u)* equalish(e_2,e_2).
% 1.38/1.62 773[2:Spt:764.0,764.1,764.2] group_element(u) || -> product(u,e_1,e_3)* product(e_1,e_1,u)*.
% 1.38/1.62 775[2:Res:773.1,11.0] group_element(u) || product(u,e_1,v)*+ -> product(e_1,e_1,u)* equalish(v,e_3).
% 1.38/1.62 844[2:Res:773.1,775.1] group_element(u) group_element(u) || -> product(e_1,e_1,u)* product(e_1,e_1,u)* equalish(e_3,e_3).
% 1.38/1.62 854[2:Res:773.2,775.1] group_element(u) group_element(e_1) || -> product(u,e_1,e_3)* product(e_1,e_1,e_1)* equalish(u,e_3).
% 1.38/1.62 855[2:Obv:844.2] group_element(u) || -> product(e_1,e_1,u)* equalish(e_3,e_3).
% 1.38/1.62 856[2:SSi:854.1,1.0] group_element(u) || -> product(u,e_1,e_3)* product(e_1,e_1,e_1)* equalish(u,e_3).
% 1.38/1.62 866[3:Spt:855.0,855.1] group_element(u) || -> product(e_1,e_1,u)*.
% 1.38/1.62 868[3:Res:866.1,11.0] group_element(u) || product(e_1,e_1,v)*+ -> equalish(v,u)*.
% 1.38/1.62 890[3:Res:866.1,868.1] group_element(u) group_element(v) || -> equalish(u,v)*.
% 1.38/1.62 903[3:Res:890.2,4.0] group_element(e_1) group_element(e_2) || -> .
% 1.38/1.62 909[3:SSi:903.1,903.0,2.0,1.0] || -> .
% 1.38/1.62 910[3:Spt:909.0,855.2] || -> equalish(e_3,e_3)*.
% 1.38/1.62 949[4:Spt:856.0,856.1,856.3] group_element(u) || -> product(u,e_1,e_3)* equalish(u,e_3).
% 1.38/1.62 953[4:Res:949.1,13.0] group_element(u) || product(v,e_1,e_3)*+ -> equalish(u,e_3)* equalish(v,u)*.
% 1.38/1.62 1006[4:Res:773.2,953.1] group_element(e_3) group_element(u) || -> product(e_3,e_1,e_3)* equalish(u,e_3)* equalish(e_1,u)*.
% 1.38/1.62 1007[4:SSi:1006.0,3.0] group_element(u) || -> product(e_3,e_1,e_3)* equalish(u,e_3)* equalish(e_1,u)*.
% 1.38/1.62 1009[5:Spt:1007.0,1007.2,1007.3] group_element(u) || -> equalish(u,e_3)* equalish(e_1,u)*.
% 1.38/1.62 1011[5:Res:1009.2,4.0] group_element(e_2) || -> equalish(e_2,e_3)*.
% 1.38/1.62 1012[5:SSi:1011.0,2.0] || -> equalish(e_2,e_3)*.
% 1.38/1.62 1013[5:MRR:1012.0,7.0] || -> .
% 1.38/1.62 1014[5:Spt:1013.0,1007.1] || -> product(e_3,e_1,e_3)*.
% 1.38/1.62 1018[5:Res:1014.0,13.0] || product(u,e_1,e_3)* -> equalish(u,e_3).
% 1.38/1.62 1024[5:MRR:949.1,1018.0] group_element(u) || -> equalish(u,e_3)*.
% 1.38/1.62 1028[5:Res:1024.1,5.0] group_element(e_1) || -> .
% 1.38/1.62 1030[5:SSi:1028.0,1.0] || -> .
% 1.38/1.62 1031[4:Spt:1030.0,856.2] || -> product(e_1,e_1,e_1)*.
% 1.38/1.62 1033[4:Res:1031.0,11.0] || product(e_1,e_1,u)*+ -> equalish(u,e_1).
% 1.38/1.62 1052[4:Res:773.2,1033.0] group_element(u) || -> product(u,e_1,e_3)* equalish(u,e_1).
% 1.38/1.62 1208[4:Res:1052.1,656.2] group_element(u) group_element(e_1) group_element(e_3) || -> equalish(u,e_1)* product(e_3,e_1,e_3) product(e_3,e_1,e_2)* product(e_3,e_1,e_3) product(e_3,e_1,e_2)* equalish(u,e_1)*.
% 1.38/1.62 1228[4:Obv:1208.5] group_element(u) group_element(e_1) group_element(e_3) || -> product(e_3,e_1,e_3) product(e_3,e_1,e_2)* equalish(u,e_1)*.
% 1.38/1.62 1229[4:SSi:1228.2,1228.1,3.0,1.0] group_element(u) || -> product(e_3,e_1,e_3) product(e_3,e_1,e_2)* equalish(u,e_1)*.
% 1.38/1.62 1253[5:Spt:1229.0,1229.3] group_element(u) || -> equalish(u,e_1)*.
% 1.38/1.62 1255[5:Res:1253.1,6.0] group_element(e_2) || -> .
% 1.38/1.62 1257[5:SSi:1255.0,2.0] || -> .
% 1.38/1.62 1258[5:Spt:1257.0,1229.1,1229.2] || -> product(e_3,e_1,e_3) product(e_3,e_1,e_2)*.
% 1.38/1.62 1263[5:Res:1258.1,656.2] group_element(e_1) group_element(e_2) || -> product(e_3,e_1,e_3) product(e_2,e_1,e_3) product(e_2,e_1,e_2)* product(e_2,e_1,e_3) product(e_2,e_1,e_2)* equalish(e_3,e_1).
% 1.38/1.62 1267[5:Obv:1263.4] group_element(e_1) group_element(e_2) || -> product(e_3,e_1,e_3) product(e_2,e_1,e_3) product(e_2,e_1,e_2)* equalish(e_3,e_1).
% 1.38/1.62 1268[5:SSi:1267.1,1267.0,2.0,1.0] || -> product(e_3,e_1,e_3) product(e_2,e_1,e_3) product(e_2,e_1,e_2)* equalish(e_3,e_1).
% 1.38/1.62 1269[5:MRR:1268.3,8.0] || -> product(e_3,e_1,e_3) product(e_2,e_1,e_3) product(e_2,e_1,e_2)*.
% 1.38/1.62 1281[6:Spt:1269.0] || -> product(e_3,e_1,e_3)*.
% 1.38/1.62 1285[6:Res:1281.0,13.0] || product(u,e_1,e_3)*+ -> equalish(u,e_3).
% 1.38/1.62 1331[6:Res:1052.1,1285.0] group_element(u) || -> equalish(u,e_1)* equalish(u,e_3).
% 1.38/1.62 1343[6:Res:1331.1,6.0] group_element(e_2) || -> equalish(e_2,e_3)*.
% 1.38/1.62 1344[6:SSi:1343.0,2.0] || -> equalish(e_2,e_3)*.
% 1.38/1.62 1345[6:MRR:1344.0,7.0] || -> .
% 1.38/1.62 1346[6:Spt:1345.0,1269.0,1281.0] || product(e_3,e_1,e_3)*+ -> .
% 1.38/1.62 1347[6:Spt:1345.0,1269.1,1269.2] || -> product(e_2,e_1,e_3) product(e_2,e_1,e_2)*.
% 1.38/1.62 1363[6:Res:1052.1,1346.0] group_element(e_3) || -> equalish(e_3,e_1)*.
% 1.38/1.62 1364[6:SSi:1363.0,3.0] || -> equalish(e_3,e_1)*.
% 1.38/1.62 1365[6:MRR:1364.0,8.0] || -> .
% 1.38/1.62 1366[2:Spt:1365.0,764.3] || -> equalish(e_2,e_2)*.
% 1.38/1.62 1790[3:Spt:693.0,693.3,693.4,693.5] group_element(u) || -> product(u,e_1,e_3) product(u,e_1,e_2)* equalish(e_1,u).
% 1.38/1.62 1794[3:Res:1790.2,13.0] group_element(u) || product(v,e_1,e_2)*+ -> product(u,e_1,e_3)* equalish(e_1,u) equalish(v,u)*.
% 1.38/1.62 1909[3:Res:662.3,1794.1] group_element(e_2) group_element(u) || -> product(e_2,e_1,e_3) product(e_2,e_1,e_2)* product(u,e_1,e_3)* equalish(e_1,u) equalish(e_1,u).
% 1.38/1.62 1910[3:Obv:1909.5] group_element(e_2) group_element(u) || -> product(e_2,e_1,e_3) product(e_2,e_1,e_2)* product(u,e_1,e_3)* equalish(e_1,u).
% 1.38/1.62 1911[3:SSi:1910.0,2.0] group_element(u) || -> product(e_2,e_1,e_3) product(e_2,e_1,e_2)* product(u,e_1,e_3)* equalish(e_1,u).
% 1.38/1.62 1920[4:Spt:1911.0,1911.3,1911.4] group_element(u) || -> product(u,e_1,e_3)* equalish(e_1,u).
% 1.38/1.62 1924[4:Res:1920.1,13.0] group_element(u) || product(v,e_1,e_3)*+ -> equalish(e_1,u)* equalish(v,u)*.
% 1.38/1.62 2012[4:Res:662.3,1924.1] group_element(e_3) group_element(u) || -> product(e_3,e_1,e_3) product(e_3,e_1,e_2)* equalish(e_1,u)* equalish(e_1,u)*.
% 1.38/1.62 2013[4:Obv:2012.4] group_element(e_3) group_element(u) || -> product(e_3,e_1,e_3) product(e_3,e_1,e_2)* equalish(e_1,u)*.
% 1.38/1.62 2014[4:SSi:2013.0,3.0] group_element(u) || -> product(e_3,e_1,e_3) product(e_3,e_1,e_2)* equalish(e_1,u)*.
% 1.38/1.62 2019[5:Spt:2014.0,2014.3] group_element(u) || -> equalish(e_1,u)*.
% 1.38/1.62 2021[5:Res:2019.1,4.0] group_element(e_2) || -> .
% 1.38/1.62 2023[5:SSi:2021.0,2.0] || -> .
% 1.38/1.62 2024[5:Spt:2023.0,2014.1,2014.2] || -> product(e_3,e_1,e_3) product(e_3,e_1,e_2)*.
% 1.38/1.62 2039[5:Res:2024.1,683.1] group_element(e_2) || -> product(e_3,e_1,e_3) product(e_2,e_1,e_3) product(e_2,e_1,e_2)* equalish(e_3,e_1).
% 1.38/1.62 2043[5:SSi:2039.0,2.0] || -> product(e_3,e_1,e_3) product(e_2,e_1,e_3) product(e_2,e_1,e_2)* equalish(e_3,e_1).
% 1.38/1.62 2044[5:MRR:2043.3,8.0] || -> product(e_3,e_1,e_3) product(e_2,e_1,e_3) product(e_2,e_1,e_2)*.
% 1.38/1.62 2073[6:Spt:2044.0] || -> product(e_3,e_1,e_3)*.
% 1.38/1.62 2077[6:Res:2073.0,13.0] || product(u,e_1,e_3)*+ -> equalish(u,e_3).
% 1.38/1.62 2134[6:Res:1920.1,2077.0] group_element(u) || -> equalish(e_1,u)* equalish(u,e_3)*.
% 1.38/1.62 2168[6:Res:2134.1,4.0] group_element(e_2) || -> equalish(e_2,e_3)*.
% 1.38/1.62 2169[6:SSi:2168.0,2.0] || -> equalish(e_2,e_3)*.
% 1.38/1.62 2170[6:MRR:2169.0,7.0] || -> .
% 1.38/1.62 2171[6:Spt:2170.0,2044.0,2073.0] || product(e_3,e_1,e_3)*+ -> .
% 1.38/1.62 2172[6:Spt:2170.0,2044.1,2044.2] || -> product(e_2,e_1,e_3) product(e_2,e_1,e_2)*.
% 1.38/1.62 2230[6:Res:1920.1,2171.0] group_element(e_3) || -> equalish(e_1,e_3)*.
% 1.38/1.62 2231[6:SSi:2230.0,3.0] || -> equalish(e_1,e_3)*.
% 1.38/1.62 2232[6:MRR:2231.0,5.0] || -> .
% 1.38/1.62 2233[4:Spt:2232.0,1911.1,1911.2] || -> product(e_2,e_1,e_3) product(e_2,e_1,e_2)*.
% 1.38/1.62 2235[4:Res:2233.1,11.0] || product(e_2,e_1,u)*+ -> product(e_2,e_1,e_3)* equalish(u,e_2).
% 1.38/1.62 2236[4:Res:2233.1,12.0] || product(e_2,u,e_2)*+ -> product(e_2,e_1,e_3)* equalish(u,e_1).
% 1.38/1.62 2237[4:Res:2233.1,13.0] || product(u,e_1,e_2)*+ -> product(e_2,e_1,e_3)* equalish(u,e_2).
% 1.38/1.62 2262[5:Spt:2235.0,2235.2] || product(e_2,e_1,u)*+ -> equalish(u,e_2).
% 1.38/1.62 2279[6:Spt:2236.0,2236.2] || product(e_2,u,e_2)*+ -> equalish(u,e_1).
% 1.38/1.62 2289[7:Spt:2237.0,2237.2] || product(u,e_1,e_2)*+ -> equalish(u,e_2).
% 1.38/1.62 2302[7:Res:698.4,2289.0] group_element(e_2) || -> product(e_2,e_1,e_3)* product(e_2,e_2,e_3) product(e_2,e_2,e_2) equalish(e_1,e_2).
% 1.38/1.62 2305[7:SSi:2302.0,2.0] || -> product(e_2,e_1,e_3)* product(e_2,e_2,e_3) product(e_2,e_2,e_2) equalish(e_1,e_2).
% 1.38/1.62 2306[7:MRR:2305.3,4.0] || -> product(e_2,e_1,e_3)* product(e_2,e_2,e_3) product(e_2,e_2,e_2).
% 1.38/1.62 2313[8:Spt:2306.0] || -> product(e_2,e_1,e_3)*.
% 1.38/1.62 2325[8:Res:2313.0,2262.0] || -> equalish(e_3,e_2)*.
% 1.38/1.62 2326[8:MRR:2325.0,9.0] || -> .
% 1.38/1.62 2346[8:Spt:2326.0,2306.0,2313.0] || product(e_2,e_1,e_3)*+ -> .
% 1.38/1.62 2347[8:Spt:2326.0,2306.1,2306.2] || -> product(e_2,e_2,e_3) product(e_2,e_2,e_2)*.
% 1.38/1.62 2348[8:MRR:2233.0,2346.0] || -> product(e_2,e_1,e_2)*.
% 1.38/1.62 2364[8:Res:2347.1,2279.0] || -> product(e_2,e_2,e_3)* equalish(e_2,e_1).
% 1.38/1.62 2365[8:MRR:2364.1,6.0] || -> product(e_2,e_2,e_3)*.
% 1.38/1.62 2394[8:Res:2365.0,14.0] || product(e_2,u,e_2)*+ -> product(e_3,u,e_2).
% 1.38/1.62 2473[8:Res:2348.0,2394.0] || -> product(e_3,e_1,e_2)*.
% 1.38/1.62 2481[8:Res:2473.0,2289.0] || -> equalish(e_3,e_2)*.
% 1.38/1.62 2495[8:MRR:2481.0,9.0] || -> .
% 1.38/1.62 2500[7:Spt:2495.0,2237.1] || -> product(e_2,e_1,e_3)*.
% 1.38/1.62 2513[7:Res:2500.0,2262.0] || -> equalish(e_3,e_2)*.
% 1.38/1.62 2514[7:MRR:2513.0,9.0] || -> .
% 1.38/1.62 2529[6:Spt:2514.0,2236.1] || -> product(e_2,e_1,e_3)*.
% 1.38/1.62 2542[6:Res:2529.0,2262.0] || -> equalish(e_3,e_2)*.
% 1.38/1.62 2543[6:MRR:2542.0,9.0] || -> .
% 1.38/1.62 2554[5:Spt:2543.0,2235.1] || -> product(e_2,e_1,e_3)*.
% 1.38/1.62 2557[5:Res:2554.0,12.0] || product(e_2,u,e_3)*+ -> equalish(u,e_1).
% 1.38/1.62 2558[5:Res:2554.0,13.0] || product(u,e_1,e_3)*+ -> equalish(u,e_2).
% 1.38/1.62 2564[5:Res:2554.0,18.2] group_element(e_3) group_element(e_2) || -> product(e_2,e_3,e_3) product(e_2,e_3,e_2) product(e_1,e_1,e_2)*.
% 1.38/1.62 2565[5:Res:2554.0,683.1] group_element(e_3) || -> product(e_3,e_1,e_3) product(e_3,e_1,e_2)* equalish(e_2,e_1).
% 1.38/1.62 2571[5:SSi:2565.0,3.0] || -> product(e_3,e_1,e_3) product(e_3,e_1,e_2)* equalish(e_2,e_1).
% 1.38/1.62 2572[5:MRR:2571.2,6.0] || -> product(e_3,e_1,e_3) product(e_3,e_1,e_2)*.
% 1.38/1.62 2573[5:SSi:2564.1,2564.0,2.0,3.0] || -> product(e_2,e_3,e_3) product(e_2,e_3,e_2) product(e_1,e_1,e_2)*.
% 1.38/1.62 2684[6:Spt:2573.0] || -> product(e_2,e_3,e_3)*.
% 1.38/1.62 2695[6:Res:2684.0,2557.0] || -> equalish(e_3,e_1)*.
% 1.38/1.62 2696[6:MRR:2695.0,8.0] || -> .
% 1.38/1.62 2699[6:Spt:2696.0,2573.0,2684.0] || product(e_2,e_3,e_3)*+ -> .
% 1.38/1.62 2700[6:Spt:2696.0,2573.1,2573.2] || -> product(e_2,e_3,e_2) product(e_1,e_1,e_2)*.
% 1.38/1.62 2701[7:Spt:2700.0] || -> product(e_2,e_3,e_2)*.
% 1.38/1.62 2702[7:Res:2701.0,14.0] || product(e_2,u,e_3) -> product(e_2,u,e_2)*.
% 1.38/1.62 2704[7:Res:2701.0,12.0] || product(e_2,u,e_2)*+ -> equalish(u,e_3).
% 1.38/1.62 2705[7:Res:2701.0,13.0] || product(u,e_3,e_2)*+ -> equalish(u,e_2).
% 1.38/1.62 2714[7:Res:2701.0,18.2] group_element(e_2) group_element(e_2) || -> product(e_2,e_2,e_3) product(e_2,e_2,e_2) product(e_1,e_3,e_2)*.
% 1.38/1.62 2718[7:Obv:2714.0] group_element(e_2) || -> product(e_2,e_2,e_3) product(e_2,e_2,e_2) product(e_1,e_3,e_2)*.
% 1.38/1.62 2719[7:SSi:2718.0,2.0] || -> product(e_2,e_2,e_3) product(e_2,e_2,e_2) product(e_1,e_3,e_2)*.
% 1.38/1.62 2720[7:MRR:2719.0,2702.0] || -> product(e_2,e_2,e_2) product(e_1,e_3,e_2)*.
% 1.38/1.62 2802[7:Res:2720.1,2705.0] || -> product(e_2,e_2,e_2)* equalish(e_1,e_2).
% 1.38/1.62 2804[7:MRR:2802.1,4.0] || -> product(e_2,e_2,e_2)*.
% 1.38/1.62 2824[7:Res:2804.0,2704.0] || -> equalish(e_2,e_3)*.
% 1.38/1.62 2826[7:MRR:2824.0,7.0] || -> .
% 1.38/1.62 2840[7:Spt:2826.0,2700.0,2701.0] || product(e_2,e_3,e_2)*+ -> .
% 1.38/1.62 2841[7:Spt:2826.0,2700.1] || -> product(e_1,e_1,e_2)*.
% 1.38/1.62 2845[7:Res:2841.0,13.0] || product(u,e_1,e_2)*+ -> equalish(u,e_1).
% 1.38/1.62 2973[7:Res:2572.1,2845.0] || -> product(e_3,e_1,e_3)* equalish(e_3,e_1).
% 1.38/1.62 2974[7:MRR:2973.1,8.0] || -> product(e_3,e_1,e_3)*.
% 1.38/1.62 2986[7:Res:2974.0,2558.0] || -> equalish(e_3,e_2)*.
% 1.38/1.62 2995[7:MRR:2986.0,9.0] || -> .
% 1.38/1.62 3001[3:Spt:2995.0,693.1,693.2] || -> product(e_1,e_1,e_3) product(e_1,e_1,e_2)*.
% 1.38/1.62 3016[4:Spt:3001.0] || -> product(e_1,e_1,e_3)*.
% 1.38/1.62 3018[4:Res:3016.0,11.0] || product(e_1,e_1,u)*+ -> equalish(u,e_3).
% 1.38/1.62 3019[4:Res:3016.0,12.0] || product(e_1,u,e_3)*+ -> equalish(u,e_1).
% 1.38/1.62 3020[4:Res:3016.0,13.0] || product(u,e_1,e_3)*+ -> equalish(u,e_1).
% 1.38/1.62 3027[4:Res:3016.0,18.2] group_element(e_3) group_element(e_1) || -> product(e_1,e_3,e_3) product(e_1,e_3,e_2) product(e_1,e_1,e_1)*.
% 1.38/1.62 3050[4:SSi:3027.1,3027.0,1.0,3.0] || -> product(e_1,e_3,e_3) product(e_1,e_3,e_2) product(e_1,e_1,e_1)*.
% 1.38/1.62 3172[4:Res:3050.2,3018.0] || -> product(e_1,e_3,e_3) product(e_1,e_3,e_2)* equalish(e_1,e_3).
% 1.38/1.62 3178[4:MRR:3172.2,5.0] || -> product(e_1,e_3,e_3) product(e_1,e_3,e_2)*.
% 1.38/1.62 3206[4:Res:3178.1,682.1] group_element(e_2) || -> product(e_1,e_3,e_3)* product(e_2,e_1,e_3) product(e_2,e_1,e_2) equalish(e_3,e_1).
% 1.38/1.62 3210[4:SSi:3206.0,2.0] || -> product(e_1,e_3,e_3)* product(e_2,e_1,e_3) product(e_2,e_1,e_2) equalish(e_3,e_1).
% 1.38/1.62 3211[4:MRR:3210.0,3210.3,3019.0,8.0] || -> product(e_2,e_1,e_3) product(e_2,e_1,e_2)*.
% 1.38/1.62 3223[5:Spt:3211.0] || -> product(e_2,e_1,e_3)*.
% 1.38/1.62 3229[5:Res:3223.0,3020.0] || -> equalish(e_2,e_1)*.
% 1.38/1.62 3239[5:MRR:3229.0,6.0] || -> .
% 1.38/1.62 3250[5:Spt:3239.0,3211.0,3223.0] || product(e_2,e_1,e_3)*+ -> .
% 1.38/1.62 3251[5:Spt:3239.0,3211.1] || -> product(e_2,e_1,e_2)*.
% 1.38/1.62 3259[5:Res:3251.0,12.0] || product(e_2,u,e_2)*+ -> equalish(u,e_1).
% 1.38/1.62 3260[5:Res:3251.0,13.0] || product(u,e_1,e_2)*+ -> equalish(u,e_2).
% 1.38/1.62 3345[5:Res:698.4,3260.0] group_element(e_2) || -> product(e_2,e_1,e_3)* product(e_2,e_2,e_3) product(e_2,e_2,e_2) equalish(e_1,e_2).
% 1.38/1.62 3348[5:SSi:3345.0,2.0] || -> product(e_2,e_1,e_3)* product(e_2,e_2,e_3) product(e_2,e_2,e_2) equalish(e_1,e_2).
% 1.38/1.62 3349[5:MRR:3348.0,3348.3,3250.0,4.0] || -> product(e_2,e_2,e_3) product(e_2,e_2,e_2)*.
% 1.38/1.62 3373[5:Res:3349.1,3259.0] || -> product(e_2,e_2,e_3)* equalish(e_2,e_1).
% 1.38/1.62 3376[5:MRR:3373.1,6.0] || -> product(e_2,e_2,e_3)*.
% 1.38/1.62 3424[5:Res:3376.0,14.0] || product(e_2,u,e_2)*+ -> product(e_3,u,e_2).
% 1.38/1.62 3493[5:Res:3251.0,3424.0] || -> product(e_3,e_1,e_2)*.
% 1.38/1.62 3503[5:Res:3493.0,3260.0] || -> equalish(e_3,e_2)*.
% 1.38/1.62 3523[5:MRR:3503.0,9.0] || -> .
% 1.38/1.62 3533[4:Spt:3523.0,3001.0,3016.0] || product(e_1,e_1,e_3)*+ -> .
% 1.38/1.62 3534[4:Spt:3523.0,3001.1] || -> product(e_1,e_1,e_2)*.
% 1.38/1.62 3566[4:Res:3534.0,11.0] || product(e_1,e_1,u)*+ -> equalish(u,e_2).
% 1.38/1.62 3567[4:Res:3534.0,12.0] || product(e_1,u,e_2)*+ -> equalish(u,e_1).
% 1.51/1.76 3568[4:Res:3534.0,13.0] || product(u,e_1,e_2)*+ -> equalish(u,e_1).
% 1.51/1.76 3583[4:Res:3534.0,18.2] group_element(e_2) group_element(e_1) || -> product(e_1,e_2,e_3) product(e_1,e_2,e_2) product(e_1,e_1,e_1)*.
% 1.51/1.76 3604[4:SSi:3583.1,3583.0,1.0,2.0] || -> product(e_1,e_2,e_3) product(e_1,e_2,e_2) product(e_1,e_1,e_1)*.
% 1.51/1.76 3621[4:Res:662.3,3533.0] group_element(e_3) || -> product(e_3,e_1,e_3) product(e_3,e_1,e_2)*.
% 1.51/1.76 3622[4:SSi:3621.0,3.0] || -> product(e_3,e_1,e_3) product(e_3,e_1,e_2)*.
% 1.51/1.76 3746[4:Res:3622.1,3568.0] || -> product(e_3,e_1,e_3)* equalish(e_3,e_1).
% 1.51/1.76 3747[4:MRR:3746.1,8.0] || -> product(e_3,e_1,e_3)*.
% 1.51/1.76 3788[4:Res:3747.0,11.0] || product(e_3,e_1,u)*+ -> equalish(u,e_3).
% 1.51/1.76 3979[5:Spt:3604.0] || -> product(e_1,e_2,e_3)*.
% 1.51/1.76 3980[5:Res:3979.0,14.0] || product(e_1,u,e_2)*+ -> product(e_3,u,e_1).
% 1.51/1.76 4086[5:Res:3534.0,3980.0] || -> product(e_3,e_1,e_1)*.
% 1.51/1.76 4114[5:Res:4086.0,3788.0] || -> equalish(e_1,e_3)*.
% 1.51/1.76 4116[5:MRR:4114.0,5.0] || -> .
% 1.51/1.76 4125[5:Spt:4116.0,3604.0,3979.0] || product(e_1,e_2,e_3)* -> .
% 1.51/1.76 4126[5:Spt:4116.0,3604.1,3604.2] || -> product(e_1,e_2,e_2) product(e_1,e_1,e_1)*.
% 1.51/1.76 4132[6:Spt:4126.0] || -> product(e_1,e_2,e_2)*.
% 1.51/1.76 4159[6:Res:4132.0,3567.0] || -> equalish(e_2,e_1)*.
% 1.51/1.76 4164[6:MRR:4159.0,6.0] || -> .
% 1.51/1.76 4182[6:Spt:4164.0,4126.0,4132.0] || product(e_1,e_2,e_2)* -> .
% 1.51/1.76 4183[6:Spt:4164.0,4126.1] || -> product(e_1,e_1,e_1)*.
% 1.51/1.76 4210[6:Res:4183.0,3566.0] || -> equalish(e_1,e_2)*.
% 1.51/1.76 4216[6:MRR:4210.0,4.0] || -> .
% 1.51/1.76 % SZS output end Refutation
% 1.51/1.76 Formulae used in the proof : element_1 element_2 element_3 e_1_is_not_e_2 e_1_is_not_e_3 e_2_is_not_e_1 e_2_is_not_e_3 e_3_is_not_e_1 e_3_is_not_e_2 product_total_function1 product_total_function2 product_right_cancellation product_left_cancellation qg3
% 1.51/1.76
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